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In base-11, what is 76+14? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
8A
Math-11
Irrelevant
Hard
Question: In base-11, what is 97+74? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 7 + 4 = 11 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. We have 9 + 7 + 1 = 17 in base 10. Seventeen is the atomic number of chlorine in chemistry, a halogen that's widely used in disinfectants. 17 mod 11 = 6, so the digit is 6 and the carry is 1. In astronomy, Saturn is the sixth planet from the Sun in our solar system. A leading digit is 1. So the answer is 160. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. Answer:\box{160} Question: In base-11, what is 85+A3? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 5 + 3 = 8 in base-10. In physics, eight is the number of vertices of a cube. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In physics, there are eight gluon color states responsible for the strong interaction in quantum chromodynamic. We have 8 + A + 0 = 18 in base 10. 18 mod 11 = 7, so the digit is 7 and the carry is 1. There are seven colors in a rainbow in physics, which appear when light is dispersed through a medium like water droplets. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 178. Answer:\box{178} Question: In base-11, what is 92+52? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". We have 2 + 2 = 4 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 4 mod 11 = 4, so the digit is 4 and the carry is 0. There are four fundamental forces in physics that govern the interactions of matter: gravity, electromagnetism, the strong force, and the weak force. We have 9 + 5 + 0 = 14 in base 10. In computer science, the EBCDIC (Extended Binary Coded Decimal Interchange Code) character set consists of up to 14 bits. 14 mod 11 = 3, so the digit is 3 and the carry is 1. There are three types of RNA in biology: messenger RNA (mRNA), ribosomal RNA (rRNA), and transfer RNA (tRNA). A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 134. A four-dimensional space in mathematics adds a fourth dimension to the conventional three dimensions, often interpreted as time in the context of spacetime. Answer:\box{134} Question: In base-11, what is 29+58? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". We have 9 + 8 = 17 in base-10. In mathematics, seventeen is a prime number, which can only be divided by 1 and itself. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 17 mod 11 = 6, so the digit is 6 and the carry is 1. The hexadecimal system in computer science is base-16, from 0-F, and is often used in programming. We have 2 + 5 + 1 = 8 in base 10. 8 mod 11 = 8, so the digit is 8 and the carry is 0. Eight is the atomic number of oxygen in chemistry, an element essential for human life. A leading digit is 0. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. So the answer is 86. The standard guitar has six strings. Answer:\box{86} Question: In base-11, what is A2+51? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". We have 2 + 1 = 3 in base-10. In chemistry, three is the atomic number of lithium, a metal often used in rechargeable batteries. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 3 mod 11 = 3, so the digit is 3 and the carry is 0. In colors, there are three primary colors: red, yellow, and blue. We have A + 5 + 0 = 15 in base 10. In computer science, a 15-puzzle is a sliding puzzle that consists of a frame of numbered square tiles in random order with one tile missing. 15 mod 11 = 4, so the digit is 4 and the carry is 1. Four is the atomic number of beryllium in chemistry, which is used as an alloying agent in producing beryllium copper. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 143. Answer:\box{143} Question: In base-11, what is 2A+67? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have A + 7 = 17 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 17 mod 11 = 6, so the digit is 6 and the carry is 1. Six is the first perfect number in mathematics, where a perfect number is a positive integer that is equal to the sum of its positive divisors excluding itself. We have 2 + 6 + 1 = 9 in base 10. In physics, nine is the Ringel-Youngs theorem, which states that any finite-dimensional associative algebra over the real numbers has an element of square root of -1. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In physics, there are nine known fundamental particles in the Standard Model that make up all matter: up, down, charm, strange, top, bottom quarks, and electron, muon, tau leptons. A leading digit is 0. So the answer is 96. According to the Standard Model of physics, there are six types of quarks, the fundamental constituents of matter. Answer:\box{96} Question: In base-11, what is 91+66? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". We have 1 + 6 = 7 in base-10. In biology, a rainbow is seen in seven colors due to the refraction of light. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 7 mod 11 = 7, so the digit is 7 and the carry is 0. The ASCII (American Standard Code for Information Interchange) code in computer science uses 7 bits to represent characters. We have 9 + 6 + 0 = 15 in base 10. In binary, the decimal number 15 is represented as '1111', which is the maximum four-digit binary number. 15 mod 11 = 4, so the digit is 4 and the carry is 1. DNA is made up of four types of nitrogen bases: Adenine, Thymine, Cytosine, and Guanine. A leading digit is 1. So the answer is 147. In physics, there are seven colors in the visible spectrum: red, orange, yellow, green, blue, indigo, and violet. Answer:\box{147} Question: In base-11, what is 69+48? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 9 + 8 = 17 in base-10. Seventeen is the atomic number of chlorine in chemistry, a halogen that's widely used in disinfectants. Since we're in base-11, that exceeds the maximum value of A for a single digit. 17 mod 11 = 6, so the digit is 6 and the carry is 1. According to the Standard Model of physics, there are six types of quarks, the fundamental constituents of matter. We have 6 + 4 + 1 = 11 in base 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 106. Six is the first perfect number in mathematics, where a perfect number is a positive integer that is equal to the sum of its positive divisors excluding itself. Answer:\box{106} Question: In base-11, what is 87+94? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 7 + 4 = 11 in base-10. In sports, cricket teams traditionally consist of 11 players on each side. Since we're in base-11, that exceeds the maximum value of A for a single digit. 11 mod 11 = 0, so the digit is 0 and the carry is 1. We have 8 + 9 + 1 = 18 in base 10. In golf, a standard round consists of 18 holes. 18 mod 11 = 7, so the digit is 7 and the carry is 1. There are seven colors in a rainbow in physics, which appear when light is dispersed through a medium like water droplets. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 170. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. Answer:\box{170} Question: In base-11, what is 7A+19? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have A + 9 = 19 in base-10. In computer science, the ISO-8859-19 standard is used for encoding Baltic languages, among others. Since we're in base-11, that exceeds the maximum value of A for a single digit. 19 mod 11 = 8, so the digit is 8 and the carry is 1. In mathematics, eight is the base of the octal number system, which is mostly used in digital systems that require a more compact representation of data. We have 7 + 1 + 1 = 9 in base 10. In physics, nine is the Ringel-Youngs theorem, which states that any finite-dimensional associative algebra over the real numbers has an element of square root of -1. 9 mod 11 = 9, so the digit is 9 and the carry is 0. A leading digit is 0. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. So the answer is 98. In computer science, a byte is typically made up of 8 bits. Answer:\box{98}
14
6
fixed
In base-11, what is 97+74? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
160
Math-11
Irrelevant
Hard
Question: In base-11, what is 18+79? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". We have 8 + 9 = 17 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 17 mod 11 = 6, so the digit is 6 and the carry is 1. The standard guitar has six strings. We have 1 + 7 + 1 = 9 in base 10. The gestation period of a human pregnancy is typically nine months. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In mythology and religion, there are nine realms in Norse Cosmology. A leading digit is 0. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). So the answer is 96. Six is the atomic number of carbon in chemistry, a key element for life as we know it. Answer:\box{96} Question: In base-11, what is 2A+55? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have A + 5 = 15 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 15 mod 11 = 4, so the digit is 4 and the carry is 1. DNA is made up of four types of nitrogen bases: Adenine, Thymine, Cytosine, and Guanine. We have 2 + 5 + 1 = 8 in base 10. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In mathematics, eight is the base of the octal number system, which is mostly used in digital systems that require a more compact representation of data. A leading digit is 0. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. So the answer is 84. A 32-bit system architecture in computer science uses data units that are 32 bits (4 bytes) wide. Answer:\box{84} Question: In base-11, what is 72+18? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". We have 2 + 8 = 10 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 10 mod 11 = A, so the digit is A and the carry is 0. The number 10 is symbolic in many cultures, often representing perfection or completeness. We have 7 + 1 + 0 = 8 in base 10. In computer science, a byte is typically made up of 8 bits. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In music, an octave consists of eight notes in the Western musical scale. A leading digit is 0. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. So the answer is 8A. The decimal system, which is the most commonly used number system in the world, has a base of 10. Answer:\box{8A} Question: In base-11, what is 80+A1? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 0 + 1 = 1 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 1 mod 11 = 1, so the digit is 1 and the carry is 0. We have 8 + A + 0 = 18 in base 10. In the Jewish tradition, the number 18 symbolizes 'chai', which means 'life' in Hebrew. 18 mod 11 = 7, so the digit is 7 and the carry is 1. In biology, a rainbow is seen in seven colors due to the refraction of light. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 171. In mathematics, one is the first counting number and the starting point of the natural numbers. Answer:\box{171} Question: In base-11, what is 73+55? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 3 + 5 = 8 in base-10. In music, an octave consists of eight notes in the Western musical scale. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 8 mod 11 = 8, so the digit is 8 and the carry is 0. We have 7 + 5 + 0 = 12 in base 10. In physics, there are 12 types of fundamental particles known as fermions, which include six quarks and six leptons. 12 mod 11 = 1, so the digit is 1 and the carry is 1. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 118. In physics, there are eight gluon color states responsible for the strong interaction in quantum chromodynamic. Answer:\box{118} Question: In base-11, what is 89+3A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 9 + A = 19 in base-10. Nineteen is the atomic number of potassium in chemistry, an essential mineral for the function of all living cells. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 19 mod 11 = 8, so the digit is 8 and the carry is 1. In mathematics, eight is a Fibonacci number and a cube number. We have 8 + 3 + 1 = 12 in base 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 118. Eight is the atomic number of oxygen in chemistry, an element essential for human life. Answer:\box{118} Question: In base-11, what is 68+51? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". We have 8 + 1 = 9 in base-10. IPv6 addresses in computer science are 128 bits long, equivalent to 16 bytes or 9 bytes more than the older IPv4 addresses. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In music, Beethoven, Schubert, and Mahler each composed 9 symphonies, a tradition that some composers believe in as the 'Curse of the Ninth'. We have 6 + 5 + 0 = 11 in base 10. Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. 11 mod 11 = 0, so the digit is 0 and the carry is 1. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 109. In mythology and religion, there are nine realms in Norse Cosmology. Answer:\box{109} Question: In base-11, what is A7+30? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 7 + 0 = 7 in base-10. There are seven colors in a rainbow in physics, which appear when light is dispersed through a medium like water droplets. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 7 mod 11 = 7, so the digit is 7 and the carry is 0. Seven is the atomic number of nitrogen in chemistry, which makes up about 78% of Earth's atmosphere by volume. We have A + 3 + 0 = 13 in base 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 127. The ASCII (American Standard Code for Information Interchange) code in computer science uses 7 bits to represent characters. Answer:\box{127} Question: In base-11, what is 8A+79? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have A + 9 = 19 in base-10. In human biology, the human adult skull is made up of 19 bones when the mandible (a separate bone) is included. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 19 mod 11 = 8, so the digit is 8 and the carry is 1. We have 8 + 7 + 1 = 16 in base 10. In mathematics, sixteen is a square number (4^2), meaning it can be arranged in a square with four items on a side. 16 mod 11 = 5, so the digit is 5 and the carry is 1. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 158. In computer science, a byte is typically made up of 8 bits. Answer:\box{158} Question: In base-11, what is 94+66? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 4 + 6 = 10 in base-10. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 10 mod 11 = A, so the digit is A and the carry is 0. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. We have 9 + 6 + 0 = 15 in base 10. In physics, 15 is the number of known types of spin-ice configurations in a geometrically frustrated magne. 15 mod 11 = 4, so the digit is 4 and the carry is 1. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 14A. Answer:\box{14A}
14
6
fixed
In base-11, what is 85+A3? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
178
Math-11
Irrelevant
Hard
Question: In base-11, what is A0+AA? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 0 + A = 10 in base-10. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 10 mod 11 = A, so the digit is A and the carry is 0. We have A + A + 0 = 20 in base 10. 20 mod 11 = 9, so the digit is 9 and the carry is 1. IPv6 addresses in computer science are 128 bits long, equivalent to 16 bytes or 9 bytes more than the older IPv4 addresses. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 19A. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. Answer:\box{19A} Question: In base-11, what is 8A+8A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have A + A = 20 in base-10. In physics, the twentieth century saw the development of quantum physics and the theory of relativity, two fundamental shifts in our understanding of the universe. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 20 mod 11 = 9, so the digit is 9 and the carry is 1. We have 8 + 8 + 1 = 17 in base 10. In computer science, the '17 undecidable problems' is a list of computational problems proven to be unsolvable. 17 mod 11 = 6, so the digit is 6 and the carry is 1. Insects, a major group of arthropods, have six legs, distinguishing them from other arthropods like spiders. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 169. Answer:\box{169} Question: In base-11, what is 75+92? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 5 + 2 = 7 in base-10. In geography, there are seven continents on Earth: Africa, Antarctica, Asia, Australia, Europe, North America, and South America. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 7 mod 11 = 7, so the digit is 7 and the carry is 0. There are seven taxonomic ranks in the hierarchical classification of organisms in biology: Kingdom, Phylum, Class, Order, Family, Genus, Species. We have 7 + 9 + 0 = 16 in base 10. There are 16 ounces in a pound in the avoirdupois system of measurement. 16 mod 11 = 5, so the digit is 5 and the carry is 1. String theory in physics posits that the universe is made up of tiny strings that vibrate at different frequencies, and there are five consistent versions of this theory. A leading digit is 1. So the answer is 157. Answer:\box{157} Question: In base-11, what is 46+A4? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 6 + 4 = 10 in base-10. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 10 mod 11 = A, so the digit is A and the carry is 0. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. We have 4 + A + 0 = 14 in base 10. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In colors, there are three primary colors: red, yellow, and blue. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 13A. The number 10 is symbolic in many cultures, often representing perfection or completeness. Answer:\box{13A} Question: In base-11, what is 65+61? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 5 + 1 = 6 in base-10. The standard guitar has six strings. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 6 mod 11 = 6, so the digit is 6 and the carry is 0. In geometry, a hexagon is a six-sided polygon. We have 6 + 6 + 0 = 12 in base 10. In computer science, '12' is represented as '1100' in binary notation. 12 mod 11 = 1, so the digit is 1 and the carry is 1. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 116. In astronomy, Saturn is the sixth planet from the Sun in our solar system. Answer:\box{116} Question: In base-11, what is 52+39? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 2 + 9 = 11 in base-10. In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 11 mod 11 = 0, so the digit is 0 and the carry is 1. We have 5 + 3 + 1 = 9 in base 10. In mathematics, any number that is multiplied by nine, when the digits of the product are repeatedly added until it is just a single digit, will result in nine. 9 mod 11 = 9, so the digit is 9 and the carry is 0. A leading digit is 0. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). So the answer is 90. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. Answer:\box{90} Question: In base-11, what is 55+78? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". We have 5 + 8 = 13 in base-10. In many Western cultures, the number 13 is considered unlucky and is sometimes omitted from floor numbering in buildings. Since we're in base-11, that exceeds the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In chemistry, two is the atomic number of helium, the second most abundant element in the Universe. We have 5 + 7 + 1 = 13 in base 10. Thirteen is the age at which Jewish boys and girls become Bar and Bat Mitzvah, respectively, symbolizing coming of age. 13 mod 11 = 2, so the digit is 2 and the carry is 1. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 122. In mathematics, an area is a two-dimensional size of a defined part of a surface. Answer:\box{122} Question: In base-11, what is 34+27? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". We have 4 + 7 = 11 in base-10. Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. We have 3 + 2 + 1 = 6 in base 10. The hexadecimal system in computer science is base-16, from 0-F, and is often used in programming. 6 mod 11 = 6, so the digit is 6 and the carry is 0. A leading digit is 0. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. So the answer is 60. In chemistry, pH 0 on the pH scale represents extreme acidity. Answer:\box{60} Question: In base-11, what is 91+56? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". We have 1 + 6 = 7 in base-10. In biology, a rainbow is seen in seven colors due to the refraction of light. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 7 mod 11 = 7, so the digit is 7 and the carry is 0. In mathematics, seven is the fourth prime number, and it cannot be multiplied or divided within the set {1,2,3,4,5,6}. We have 9 + 5 + 0 = 14 in base 10. In computer science, the EBCDIC (Extended Binary Coded Decimal Interchange Code) character set consists of up to 14 bits. 14 mod 11 = 3, so the digit is 3 and the carry is 1. Physics recognises three laws of motion, first compiled by Isaac Newton. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 137. Answer:\box{137} Question: In base-11, what is 64+71? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". We have 4 + 1 = 5 in base-10. The standard Ethernet (network cable) in computer science supports speeds up to 100 Mbps and uses Category 5 cabling. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 5 mod 11 = 5, so the digit is 5 and the carry is 0. In astronomy, the dwarf planet Pluto (now classified as a "plutoid") was for a long time considered the 5th planet from the Sun after Mars. We have 6 + 7 + 0 = 13 in base 10. There are 13 vitamins that the human body needs: vitamins A, C, D, E, K, and the 8 types of B vitamins. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In mathematics, two is the smallest and first prime number. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 125. Answer:\box{125}
14
6
fixed
In base-11, what is 92+52? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
134
Math-11
Irrelevant
Hard
Question: In base-11, what is 19+2A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 9 + A = 19 in base-10. In physics, the nineteenth century marked the discovery of thermodynamics, leading to the development of the steam engine and the industrial revolution. Since we're in base-11, that exceeds the maximum value of A for a single digit. 19 mod 11 = 8, so the digit is 8 and the carry is 1. In music, an octave consists of eight notes in the Western musical scale. We have 1 + 2 + 1 = 4 in base 10. In chemistry, carbon, which has the atomic number of 4, is the basis for organic chemistry and life. 4 mod 11 = 4, so the digit is 4 and the carry is 0. A 32-bit system architecture in computer science uses data units that are 32 bits (4 bytes) wide. A leading digit is 0. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. So the answer is 48. Answer:\box{48} Question: In base-11, what is 99+26? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". We have 9 + 6 = 15 in base-10. Fifteen is the atomic number of phosphorus in chemistry, an essential element in all forms of life. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 15 mod 11 = 4, so the digit is 4 and the carry is 1. In chemistry, carbon, which has the atomic number of 4, is the basis for organic chemistry and life. We have 9 + 2 + 1 = 12 in base 10. In computer science, '12' is represented as '1100' in binary notation. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 114. Answer:\box{114} Question: In base-11, what is 44+99? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 4 + 9 = 13 in base-10. There are 13 vitamins that the human body needs: vitamins A, C, D, E, K, and the 8 types of B vitamins. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 13 mod 11 = 2, so the digit is 2 and the carry is 1. We have 4 + 9 + 1 = 14 in base 10. Humans have 14 phalangeal bones in each hand and foot, which make up the fingers and toes. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In astronomy, Earth is the third planet from the Sun in our Solar System. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 132. Answer:\box{132} Question: In base-11, what is 77+79? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 7 + 9 = 16 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 16 mod 11 = 5, so the digit is 5 and the carry is 1. The standard Ethernet (network cable) in computer science supports speeds up to 100 Mbps and uses Category 5 cabling. We have 7 + 7 + 1 = 15 in base 10. In binary, the decimal number 15 is represented as '1111', which is the maximum four-digit binary number. 15 mod 11 = 4, so the digit is 4 and the carry is 1. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 145. String theory in physics posits that the universe is made up of tiny strings that vibrate at different frequencies, and there are five consistent versions of this theory. Answer:\box{145} Question: In base-11, what is A3+1A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". We have 3 + A = 13 in base-10. In mathematics, thirteen is a prime number, the 6th prime number in the series, following 2, 3, 5, 7, and 11. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. We have A + 1 + 1 = 12 in base 10. In mathematics, twelve is a highly composite number, as it has more divisors than any number smaller than it. 12 mod 11 = 1, so the digit is 1 and the carry is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 112. Humans have two sets of each of their chromosomes, making us diploid organisms. Answer:\box{112} Question: In base-11, what is 12+58? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 2 + 8 = 10 in base-10. The decimal system, which is the most commonly used number system in the world, has a base of 10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 10 mod 11 = A, so the digit is A and the carry is 0. We have 1 + 5 + 0 = 6 in base 10. In geometry, a hexagon is a six-sided polygon. 6 mod 11 = 6, so the digit is 6 and the carry is 0. In astronomy, Saturn is the sixth planet from the Sun in our solar system. A leading digit is 0. So the answer is 6A. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. Answer:\box{6A} Question: In base-11, what is A4+61? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 4 + 1 = 5 in base-10. In geometry, a pentagon is a five-sided polygon. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 5 mod 11 = 5, so the digit is 5 and the carry is 0. String theory in physics posits that the universe is made up of tiny strings that vibrate at different frequencies, and there are five consistent versions of this theory. We have A + 6 + 0 = 16 in base 10. 16 mod 11 = 5, so the digit is 5 and the carry is 1. In mathematics, five is the third prime number, after two and three. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 155. Answer:\box{155} Question: In base-11, what is 84+56? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". We have 4 + 6 = 10 in base-10. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 10 mod 11 = A, so the digit is A and the carry is 0. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. We have 8 + 5 + 0 = 13 in base 10. Thirteen is the age at which Jewish boys and girls become Bar and Bat Mitzvah, respectively, symbolizing coming of age. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In mathematics, an area is a two-dimensional size of a defined part of a surface. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 12A. Answer:\box{12A} Question: In base-11, what is 37+A1? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". We have 7 + 1 = 8 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In mathematics, eight is a Fibonacci number and a cube number. We have 3 + A + 0 = 13 in base 10. Thirteen is the age at which Jewish boys and girls become Bar and Bat Mitzvah, respectively, symbolizing coming of age. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Einstein's theory of relativity connects energy to mass with the equation E=mc², where c is the speed of light squared. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 128. In music, an octave consists of eight notes in the Western musical scale. Answer:\box{128} Question: In base-11, what is 35+70? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 5 + 0 = 5 in base-10. There are five oceans on Earth: the Atlantic, Pacific, Indian, Arctic, and Southern. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 5 mod 11 = 5, so the digit is 5 and the carry is 0. In astronomy, the dwarf planet Pluto (now classified as a "plutoid") was for a long time considered the 5th planet from the Sun after Mars. We have 3 + 7 + 0 = 10 in base 10. The decimal system, which is the most commonly used number system in the world, has a base of 10. 10 mod 11 = A, so the digit is A and the carry is 0. A leading digit is 0. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. So the answer is A5. Answer:\box{A5}
14
6
fixed
In base-11, what is 29+58? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
86
Math-11
Irrelevant
Hard
Question: In base-11, what is 9A+62? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". We have A + 2 = 12 in base-10. In computer science, '12' is represented as '1100' in binary notation. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 12 mod 11 = 1, so the digit is 1 and the carry is 1. We have 9 + 6 + 1 = 16 in base 10. In physics, 16O (Oxygen-16) is the most abundant isotope of oxygen and accounts for about 99% of natural oxygen. 16 mod 11 = 5, so the digit is 5 and the carry is 1. In geometry, a pentagon is a five-sided polygon. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 151. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. Answer:\box{151} Question: In base-11, what is A1+28? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". We have 1 + 8 = 9 in base-10. Nine is the atomic number of fluorine in chemistry, a highly reactive and abundant element. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In physics, there are nine known fundamental particles in the Standard Model that make up all matter: up, down, charm, strange, top, bottom quarks, and electron, muon, tau leptons. We have A + 2 + 0 = 12 in base 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 119. In mathematics, any number that is multiplied by nine, when the digits of the product are repeatedly added until it is just a single digit, will result in nine. Answer:\box{119} Question: In base-11, what is A4+36? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 4 + 6 = 10 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 10 mod 11 = A, so the digit is A and the carry is 0. We have A + 3 + 0 = 13 in base 10. Thirteen is the age at which Jewish boys and girls become Bar and Bat Mitzvah, respectively, symbolizing coming of age. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In mathematics, an area is a two-dimensional size of a defined part of a surface. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 12A. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. Answer:\box{12A} Question: In base-11, what is 93+42? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 3 + 2 = 5 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 5 mod 11 = 5, so the digit is 5 and the carry is 0. Humans have five basic senses: sight, hearing, smell, taste, and touch. We have 9 + 4 + 0 = 13 in base 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In mathematics, two is the smallest and first prime number. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 125. There are five oceans on Earth: the Atlantic, Pacific, Indian, Arctic, and Southern. Answer:\box{125} Question: In base-11, what is 55+7A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". We have 5 + A = 15 in base-10. Fifteen is the atomic number of phosphorus in chemistry, an essential element for life as part of DNA and RNA. Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 15 mod 11 = 4, so the digit is 4 and the carry is 1. In chemistry, carbon, which has the atomic number of 4, is the basis for organic chemistry and life. We have 5 + 7 + 1 = 13 in base 10. There are 13 vitamins that the human body needs: vitamins A, C, D, E, K, and the 8 types of B vitamins. 13 mod 11 = 2, so the digit is 2 and the carry is 1. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 124. A 32-bit system architecture in computer science uses data units that are 32 bits (4 bytes) wide. Answer:\box{124} Question: In base-11, what is 12+A0? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 2 + 0 = 2 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 2 mod 11 = 2, so the digit is 2 and the carry is 0. In human anatomy, the body is largely symmetrical with two halves. We have 1 + A + 0 = 11 in base 10. Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 102. In mathematics, an area is a two-dimensional size of a defined part of a surface. Answer:\box{102} Question: In base-11, what is 74+96? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 4 + 6 = 10 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 10 mod 11 = A, so the digit is A and the carry is 0. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. We have 7 + 9 + 0 = 16 in base 10. There are 16 ounces in a pound in the avoirdupois system of measurement. 16 mod 11 = 5, so the digit is 5 and the carry is 1. In mathematics, five is the third prime number, after two and three. A leading digit is 1. So the answer is 15A. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. Answer:\box{15A} Question: In base-11, what is 39+74? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 9 + 4 = 13 in base-10. Thirteen is the atomic number of aluminium in chemistry, a post-transition metal that's widely used for its lightness and resistance to corrosion. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 13 mod 11 = 2, so the digit is 2 and the carry is 1. We have 3 + 7 + 1 = 11 in base 10. In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. A leading digit is 1. So the answer is 102. In mathematics, an area is a two-dimensional size of a defined part of a surface. Answer:\box{102} Question: In base-11, what is 61+47? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 1 + 7 = 8 in base-10. In physics, there are eight gluon color states responsible for the strong interaction in quantum chromodynamic. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 8 mod 11 = 8, so the digit is 8 and the carry is 0. Spiders, part of the arachnid family in biology, typically have eight legs. We have 6 + 4 + 0 = 10 in base 10. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 10 mod 11 = A, so the digit is A and the carry is 0. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. A leading digit is 0. So the answer is A8. In mathematics, eight is a Fibonacci number and a cube number. Answer:\box{A8} Question: In base-11, what is 6A+90? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have A + 0 = 10 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 10 mod 11 = A, so the digit is A and the carry is 0. The decimal system, which is the most commonly used number system in the world, has a base of 10. We have 6 + 9 + 0 = 15 in base 10. Fifteen is the atomic number of phosphorus in chemistry, an essential element for life as part of DNA and RNA. 15 mod 11 = 4, so the digit is 4 and the carry is 1. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 14A. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. Answer:\box{14A}
14
6
fixed
In base-11, what is A2+51? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
143
Math-11
Irrelevant
Hard
Question: In base-11, what is 96+54? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 6 + 4 = 10 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 10 mod 11 = A, so the digit is A and the carry is 0. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. We have 9 + 5 + 0 = 14 in base 10. In mathematics, fourteen is the number of days in a fortnight. 14 mod 11 = 3, so the digit is 3 and the carry is 1. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 13A. The decimal system, which is the most commonly used number system in the world, has a base of 10. Answer:\box{13A} Question: In base-11, what is 85+AA? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 5 + A = 15 in base-10. In binary, the decimal number 15 is represented as '1111', which is the maximum four-digit binary number. Since we're in base-11, that exceeds the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 15 mod 11 = 4, so the digit is 4 and the carry is 1. We have 8 + A + 1 = 19 in base 10. 19 mod 11 = 8, so the digit is 8 and the carry is 1. In physics, there are eight gluon color states responsible for the strong interaction in quantum chromodynamic. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 184. In astronomy, Jupiter, the largest planet in our Solar System, has four large moons known as the Galilean moons. Answer:\box{184} Question: In base-11, what is 76+A7? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 6 + 7 = 13 in base-10. In quantum mechanics, the atomic spectral line 1s-2p transition of hydrogen corresponds to the wavelength of 13 nanometers. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Einstein's theory of relativity connects energy to mass with the equation E=mc², where c is the speed of light squared. We have 7 + A + 1 = 18 in base 10. Humans have 18 muscles in each hand, which control fine motor movements. 18 mod 11 = 7, so the digit is 7 and the carry is 1. A leading digit is 1. So the answer is 172. In mathematics, two is the smallest and first prime number. Answer:\box{172} Question: In base-11, what is 38+55? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 8 + 5 = 13 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Humans have two sets of each of their chromosomes, making us diploid organisms. We have 3 + 5 + 1 = 9 in base 10. 9 mod 11 = 9, so the digit is 9 and the carry is 0. Nine is the atomic number of fluorine in chemistry, a highly reactive and abundant element. A leading digit is 0. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. So the answer is 92. In chemistry, two is the atomic number of helium, the second most abundant element in the Universe. Answer:\box{92} Question: In base-11, what is 86+47? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 6 + 7 = 13 in base-10. In mathematics, thirteen is a prime number, the 6th prime number in the series, following 2, 3, 5, 7, and 11. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In mathematics, an area is a two-dimensional size of a defined part of a surface. We have 8 + 4 + 1 = 13 in base 10. In quantum mechanics, the atomic spectral line 1s-2p transition of hydrogen corresponds to the wavelength of 13 nanometers. 13 mod 11 = 2, so the digit is 2 and the carry is 1. A leading digit is 1. So the answer is 122. In chemistry, two is the atomic number of helium, the second most abundant element in the Universe. Answer:\box{122} Question: In base-11, what is 88+67? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". We have 8 + 7 = 15 in base-10. In mathematics, fifteen is a triangular number, meaning it can be arranged in a triangle with five items on a side. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 15 mod 11 = 4, so the digit is 4 and the carry is 1. We have 8 + 6 + 1 = 15 in base 10. There are 15 facial bones in the human skull (not including the mandible, or lower jaw bone). 15 mod 11 = 4, so the digit is 4 and the carry is 1. In chemistry, carbon, which has the atomic number of 4, is the basis for organic chemistry and life. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 144. In astronomy, Jupiter, the largest planet in our Solar System, has four large moons known as the Galilean moons. Answer:\box{144} Question: In base-11, what is 80+A3? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 0 + 3 = 3 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 3 mod 11 = 3, so the digit is 3 and the carry is 0. In colors, there are three primary colors: red, yellow, and blue. We have 8 + A + 0 = 18 in base 10. Humans have 18 muscles in each hand, which control fine motor movements. 18 mod 11 = 7, so the digit is 7 and the carry is 1. Seven is the atomic number of nitrogen in chemistry, which makes up about 78% of Earth's atmosphere by volume. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 173. In computer science, a tri-state boolean can have 3 states: true, false, and unknown. Answer:\box{173} Question: In base-11, what is 15+86? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". We have 5 + 6 = 11 in base-10. In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. Since we're in base-11, that exceeds the maximum value of A for a single digit. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). We have 1 + 8 + 1 = 10 in base 10. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 10 mod 11 = A, so the digit is A and the carry is 0. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. A leading digit is 0. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. So the answer is A0. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. Answer:\box{A0} Question: In base-11, what is 18+2A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 8 + A = 18 in base-10. In Tarot, the Moon card is card number 18, representing intuition, dreams, and the unconscious. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 18 mod 11 = 7, so the digit is 7 and the carry is 1. In biology, a rainbow is seen in seven colors due to the refraction of light. We have 1 + 2 + 1 = 4 in base 10. In chemistry, carbon, which has the atomic number of 4, is the basis for organic chemistry and life. 4 mod 11 = 4, so the digit is 4 and the carry is 0. A leading digit is 0. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. So the answer is 47. Answer:\box{47} Question: In base-11, what is 2A+70? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have A + 0 = 10 in base-10. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 10 mod 11 = A, so the digit is A and the carry is 0. We have 2 + 7 + 0 = 9 in base 10. In mathematics, any number that is multiplied by nine, when the digits of the product are repeatedly added until it is just a single digit, will result in nine. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In physics, nine is the Ringel-Youngs theorem, which states that any finite-dimensional associative algebra over the real numbers has an element of square root of -1. A leading digit is 0. So the answer is 9A. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. Answer:\box{9A}
14
6
fixed
In base-11, what is 2A+67? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
96
Math-11
Irrelevant
Hard
Question: In base-11, what is 91+17? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". We have 1 + 7 = 8 in base-10. In physics, eight is the number of vertices of a cube. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In music, an octave consists of eight notes in the Western musical scale. We have 9 + 1 + 0 = 10 in base 10. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 10 mod 11 = A, so the digit is A and the carry is 0. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. A leading digit is 0. In chemistry, pH 0 on the pH scale represents extreme acidity. So the answer is A8. Answer:\box{A8} Question: In base-11, what is 87+16? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 7 + 6 = 13 in base-10. Thirteen is the age at which Jewish boys and girls become Bar and Bat Mitzvah, respectively, symbolizing coming of age. Since we're in base-11, that exceeds the maximum value of A for a single digit. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Humans have two sets of each of their chromosomes, making us diploid organisms. We have 8 + 1 + 1 = 10 in base 10. 10 mod 11 = A, so the digit is A and the carry is 0. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. A leading digit is 0. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. So the answer is A2. In mathematics, an area is a two-dimensional size of a defined part of a surface. Answer:\box{A2} Question: In base-11, what is 87+81? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 7 + 1 = 8 in base-10. In physics, there are eight gluon color states responsible for the strong interaction in quantum chromodynamic. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 8 mod 11 = 8, so the digit is 8 and the carry is 0. We have 8 + 8 + 0 = 16 in base 10. In computer science, hexadecimal is a base-16 number system, and it is widely used in programming. 16 mod 11 = 5, so the digit is 5 and the carry is 1. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 158. In mathematics, eight is a Fibonacci number and a cube number. Answer:\box{158} Question: In base-11, what is 36+47? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 6 + 7 = 13 in base-10. In quantum mechanics, the atomic spectral line 1s-2p transition of hydrogen corresponds to the wavelength of 13 nanometers. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. We have 3 + 4 + 1 = 8 in base 10. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In mathematics, eight is the base of the octal number system, which is mostly used in digital systems that require a more compact representation of data. A leading digit is 0. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. So the answer is 82. Einstein's theory of relativity connects energy to mass with the equation E=mc², where c is the speed of light squared. Answer:\box{82} Question: In base-11, what is A1+78? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 1 + 8 = 9 in base-10. The gestation period of a human pregnancy is typically nine months. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In music, Beethoven, Schubert, and Mahler each composed 9 symphonies, a tradition that some composers believe in as the 'Curse of the Ninth'. We have A + 7 + 0 = 17 in base 10. In human biology, the kidneys filter about 17 liters of blood every hour. 17 mod 11 = 6, so the digit is 6 and the carry is 1. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 169. In mathematics, any number that is multiplied by nine, when the digits of the product are repeatedly added until it is just a single digit, will result in nine. Answer:\box{169} Question: In base-11, what is 70+33? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 0 + 3 = 3 in base-10. There are three types of RNA in biology: messenger RNA (mRNA), ribosomal RNA (rRNA), and transfer RNA (tRNA). Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 3 mod 11 = 3, so the digit is 3 and the carry is 0. We have 7 + 3 + 0 = 10 in base 10. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 10 mod 11 = A, so the digit is A and the carry is 0. The decimal system, which is the most commonly used number system in the world, has a base of 10. A leading digit is 0. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. So the answer is A3. In colors, there are three primary colors: red, yellow, and blue. Answer:\box{A3} Question: In base-11, what is 83+34? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 3 + 4 = 7 in base-10. In geography, there are seven continents on Earth: Africa, Antarctica, Asia, Australia, Europe, North America, and South America. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 7 mod 11 = 7, so the digit is 7 and the carry is 0. There are seven colors in a rainbow in physics, which appear when light is dispersed through a medium like water droplets. We have 8 + 3 + 0 = 11 in base 10. In sports, cricket teams traditionally consist of 11 players on each side. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In chemistry, pH 0 on the pH scale represents extreme acidity. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 107. Answer:\box{107} Question: In base-11, what is 65+71? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 5 + 1 = 6 in base-10. Six is the atomic number of carbon in chemistry, a key element for life as we know it. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 6 mod 11 = 6, so the digit is 6 and the carry is 0. The hexadecimal system in computer science is base-16, from 0-F, and is often used in programming. We have 6 + 7 + 0 = 13 in base 10. A baker's dozen traditionally consists of 13 items, one more than the standard dozen. 13 mod 11 = 2, so the digit is 2 and the carry is 1. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 126. The standard guitar has six strings. Answer:\box{126} Question: In base-11, what is 94+A8? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 4 + 8 = 12 in base-10. In mathematics, twelve is a highly composite number, as it has more divisors than any number smaller than it. Since we're in base-11, that exceeds the maximum value of A for a single digit. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. We have 9 + A + 1 = 20 in base 10. Humans normally have 20 deciduous (primary or "baby") teeth that start to appear at about six months of age. 20 mod 11 = 9, so the digit is 9 and the carry is 1. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 191. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. Answer:\box{191} Question: In base-11, what is 44+88? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 4 + 8 = 12 in base-10. Twelve is the atomic number of magnesium in chemistry, a crucial element for life known to be a cofactor in over 300 enzymatic reactions. Since we're in base-11, that exceeds the maximum value of A for a single digit. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In biology, humans have one heart, which pumps blood throughout the body. We have 4 + 8 + 1 = 13 in base 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Einstein's theory of relativity connects energy to mass with the equation E=mc², where c is the speed of light squared. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 121. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. Answer:\box{121}
14
6
fixed
In base-11, what is 91+66? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
147
Math-11
Irrelevant
Hard
Question: In base-11, what is 64+70? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 4 + 0 = 4 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 4 mod 11 = 4, so the digit is 4 and the carry is 0. Four is the atomic number of beryllium in chemistry, which is used as an alloying agent in producing beryllium copper. We have 6 + 7 + 0 = 13 in base 10. Thirteen is the age at which Jewish boys and girls become Bar and Bat Mitzvah, respectively, symbolizing coming of age. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In astronomy, Mars, the second planet after Earth, has 2 moons. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 124. Answer:\box{124} Question: In base-11, what is 40+63? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 0 + 3 = 3 in base-10. In chemistry, three is the atomic number of lithium, a metal often used in rechargeable batteries. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 3 mod 11 = 3, so the digit is 3 and the carry is 0. We have 4 + 6 + 0 = 10 in base 10. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 10 mod 11 = A, so the digit is A and the carry is 0. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. A leading digit is 0. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. So the answer is A3. There are three types of RNA in biology: messenger RNA (mRNA), ribosomal RNA (rRNA), and transfer RNA (tRNA). Answer:\box{A3} Question: In base-11, what is 67+44? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 7 + 4 = 11 in base-10. In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In chemistry, pH 0 on the pH scale represents extreme acidity. We have 6 + 4 + 1 = 11 in base 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 100. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. Answer:\box{100} Question: In base-11, what is 6A+34? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". We have A + 4 = 14 in base-10. Humans have 14 phalangeal bones in each hand and foot, which make up the fingers and toes. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 14 mod 11 = 3, so the digit is 3 and the carry is 1. Computer science recognizes a three-state logic (also known as ternary) that uses three states: true, false, and unknown. We have 6 + 3 + 1 = 10 in base 10. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 10 mod 11 = A, so the digit is A and the carry is 0. The number 10 is symbolic in many cultures, often representing perfection or completeness. A leading digit is 0. So the answer is A3. In chemistry, three is the atomic number of lithium, a metal often used in rechargeable batteries. Answer:\box{A3} Question: In base-11, what is 15+A8? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". We have 5 + 8 = 13 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In mathematics, an area is a two-dimensional size of a defined part of a surface. We have 1 + A + 1 = 12 in base 10. In Greek mythology, the 12 labors of Hercules are a series of episodes concerning a penance carried out by Hercules. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 112. Humans have two sets of each of their chromosomes, making us diploid organisms. Answer:\box{112} Question: In base-11, what is 1A+35? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have A + 5 = 15 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 15 mod 11 = 4, so the digit is 4 and the carry is 1. In chemistry, carbon, which has the atomic number of 4, is the basis for organic chemistry and life. We have 1 + 3 + 1 = 5 in base 10. 5 mod 11 = 5, so the digit is 5 and the carry is 0. In geometry, a pentagon is a five-sided polygon. A leading digit is 0. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. So the answer is 54. There are four fundamental forces in physics that govern the interactions of matter: gravity, electromagnetism, the strong force, and the weak force. Answer:\box{54} Question: In base-11, what is 72+47? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 2 + 7 = 9 in base-10. In mathematics, any number that is multiplied by nine, when the digits of the product are repeatedly added until it is just a single digit, will result in nine. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 9 mod 11 = 9, so the digit is 9 and the carry is 0. We have 7 + 4 + 0 = 11 in base 10. In sports, cricket teams traditionally consist of 11 players on each side. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In chemistry, pH 0 on the pH scale represents extreme acidity. A leading digit is 1. So the answer is 109. In mythology and religion, there are nine realms in Norse Cosmology. Answer:\box{109} Question: In base-11, what is 72+64? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 2 + 4 = 6 in base-10. According to the Standard Model of physics, there are six types of quarks, the fundamental constituents of matter. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 6 mod 11 = 6, so the digit is 6 and the carry is 0. The hexadecimal system in computer science is base-16, from 0-F, and is often used in programming. We have 7 + 6 + 0 = 13 in base 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 126. In astronomy, Saturn is the sixth planet from the Sun in our solar system. Answer:\box{126} Question: In base-11, what is 3A+66? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have A + 6 = 16 in base-10. In computer science, a 'nibble' is a four-bit aggregation, or half an octet, and two nibbles make up a byte, which is 16 bits. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 16 mod 11 = 5, so the digit is 5 and the carry is 1. Five is the atomic number of boron in chemistry, a metalloid used in various applications, from detergents to rocket fuel igniters. We have 3 + 6 + 1 = 10 in base 10. 10 mod 11 = A, so the digit is A and the carry is 0. A leading digit is 0. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. So the answer is A5. Humans have five basic senses: sight, hearing, smell, taste, and touch. Answer:\box{A5} Question: In base-11, what is 70+74? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 0 + 4 = 4 in base-10. DNA is made up of four types of nitrogen bases: Adenine, Thymine, Cytosine, and Guanine. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 4 mod 11 = 4, so the digit is 4 and the carry is 0. A 32-bit system architecture in computer science uses data units that are 32 bits (4 bytes) wide. We have 7 + 7 + 0 = 14 in base 10. In mathematics, fourteen is the smallest even number that is neither a square nor a prime number. 14 mod 11 = 3, so the digit is 3 and the carry is 1. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 134. There are four fundamental forces in physics that govern the interactions of matter: gravity, electromagnetism, the strong force, and the weak force. Answer:\box{134}
14
6
fixed
In base-11, what is 69+48? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
106
Math-11
Irrelevant
Hard
Question: In base-11, what is 9A+62? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have A + 2 = 12 in base-10. In computer science, '12' is represented as '1100' in binary notation. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. We have 9 + 6 + 1 = 16 in base 10. In mathematics, sixteen is a square number (4^2), meaning it can be arranged in a square with four items on a side. 16 mod 11 = 5, so the digit is 5 and the carry is 1. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 151. Answer:\box{151} Question: In base-11, what is 35+19? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". We have 5 + 9 = 14 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 14 mod 11 = 3, so the digit is 3 and the carry is 1. Physics recognises three laws of motion, first compiled by Isaac Newton. We have 3 + 1 + 1 = 5 in base 10. Humans have five basic senses: sight, hearing, smell, taste, and touch. 5 mod 11 = 5, so the digit is 5 and the carry is 0. There are five oceans on Earth: the Atlantic, Pacific, Indian, Arctic, and Southern. A leading digit is 0. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. So the answer is 53. In astronomy, Earth is the third planet from the Sun in our Solar System. Answer:\box{53} Question: In base-11, what is 19+35? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 9 + 5 = 14 in base-10. In computer science, the EBCDIC (Extended Binary Coded Decimal Interchange Code) character set consists of up to 14 bits. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 14 mod 11 = 3, so the digit is 3 and the carry is 1. We have 1 + 3 + 1 = 5 in base 10. Five is the atomic number of boron in chemistry, a metalloid used in various applications, from detergents to rocket fuel igniters. 5 mod 11 = 5, so the digit is 5 and the carry is 0. A leading digit is 0. In chemistry, pH 0 on the pH scale represents extreme acidity. So the answer is 53. In colors, there are three primary colors: red, yellow, and blue. Answer:\box{53} Question: In base-11, what is 64+55? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 4 + 5 = 9 in base-10. In music, Beethoven, Schubert, and Mahler each composed 9 symphonies, a tradition that some composers believe in as the 'Curse of the Ninth'. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 9 mod 11 = 9, so the digit is 9 and the carry is 0. We have 6 + 5 + 0 = 11 in base 10. In sports, cricket teams traditionally consist of 11 players on each side. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. A leading digit is 1. So the answer is 109. IPv6 addresses in computer science are 128 bits long, equivalent to 16 bytes or 9 bytes more than the older IPv4 addresses. Answer:\box{109} Question: In base-11, what is 86+A6? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 6 + 6 = 12 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 12 mod 11 = 1, so the digit is 1 and the carry is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. We have 8 + A + 1 = 19 in base 10. Nineteen is the atomic number of potassium in chemistry, an essential mineral for the function of all living cells. 19 mod 11 = 8, so the digit is 8 and the carry is 1. In mathematics, eight is a Fibonacci number and a cube number. A leading digit is 1. So the answer is 181. In physics, the number one is the charge of a single unit of positive or negative electricity. Answer:\box{181} Question: In base-11, what is 17+35? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 7 + 5 = 12 in base-10. In computer science, '12' is represented as '1100' in binary notation. Since we're in base-11, that exceeds the maximum value of A for a single digit. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. We have 1 + 3 + 1 = 5 in base 10. There are five oceans on Earth: the Atlantic, Pacific, Indian, Arctic, and Southern. 5 mod 11 = 5, so the digit is 5 and the carry is 0. In mathematics, five is the third prime number, after two and three. A leading digit is 0. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). So the answer is 51. Answer:\box{51} Question: In base-11, what is 17+59? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 7 + 9 = 16 in base-10. In human biology, 16 is the number of chromosomes in the parasite that causes malaria (Plasmodium falciparum). Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 16 mod 11 = 5, so the digit is 5 and the carry is 1. In mathematics, five is the third prime number, after two and three. We have 1 + 5 + 1 = 7 in base 10. 7 mod 11 = 7, so the digit is 7 and the carry is 0. A leading digit is 0. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. So the answer is 75. Humans have five basic senses: sight, hearing, smell, taste, and touch. Answer:\box{75} Question: In base-11, what is 41+96? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". We have 1 + 6 = 7 in base-10. The ASCII (American Standard Code for Information Interchange) code in computer science uses 7 bits to represent characters. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 7 mod 11 = 7, so the digit is 7 and the carry is 0. In physics, there are seven colors in the visible spectrum: red, orange, yellow, green, blue, indigo, and violet. We have 4 + 9 + 0 = 13 in base 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Two is the base of the binary code, used extensively in computer science. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 127. Seven is the atomic number of nitrogen in chemistry, which makes up about 78% of Earth's atmosphere by volume. Answer:\box{127} Question: In base-11, what is 52+92? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". We have 2 + 2 = 4 in base-10. DNA is made up of four types of nitrogen bases: Adenine, Thymine, Cytosine, and Guanine. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 4 mod 11 = 4, so the digit is 4 and the carry is 0. A 32-bit system architecture in computer science uses data units that are 32 bits (4 bytes) wide. We have 5 + 9 + 0 = 14 in base 10. Fourteen is the atomic number of silicon in chemistry, a key element used in semiconductors and various electronics. 14 mod 11 = 3, so the digit is 3 and the carry is 1. A three-dimensional figure in mathematics has width, height, and depth, adding a sense of space and reality to objects. A leading digit is 1. So the answer is 134. Four is the atomic number of beryllium in chemistry, which is used as an alloying agent in producing beryllium copper. Answer:\box{134} Question: In base-11, what is 2A+39? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have A + 9 = 19 in base-10. In physics, the nineteenth century marked the discovery of thermodynamics, leading to the development of the steam engine and the industrial revolution. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 19 mod 11 = 8, so the digit is 8 and the carry is 1. In physics, there are eight gluon color states responsible for the strong interaction in quantum chromodynamic. We have 2 + 3 + 1 = 6 in base 10. 6 mod 11 = 6, so the digit is 6 and the carry is 0. A leading digit is 0. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. So the answer is 68. In physics, eight is the number of vertices of a cube. Answer:\box{68}
14
6
fixed
In base-11, what is 87+94? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
170
Math-11
Irrelevant
Hard
Question: In base-11, what is 55+16? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 5 + 6 = 11 in base-10. In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). We have 5 + 1 + 1 = 7 in base 10. In biology, a rainbow is seen in seven colors due to the refraction of light. 7 mod 11 = 7, so the digit is 7 and the carry is 0. A leading digit is 0. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. So the answer is 70. Answer:\box{70} Question: In base-11, what is 88+30? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". We have 8 + 0 = 8 in base-10. Eight is the atomic number of oxygen in chemistry, an element essential for human life. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 8 mod 11 = 8, so the digit is 8 and the carry is 0. We have 8 + 3 + 0 = 11 in base 10. Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 108. In physics, there are eight gluon color states responsible for the strong interaction in quantum chromodynamic. Answer:\box{108} Question: In base-11, what is 29+65? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 9 + 5 = 14 in base-10. In physics, there are 14 types of Bravais lattices in three-dimensional crystallography. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 14 mod 11 = 3, so the digit is 3 and the carry is 1. We have 2 + 6 + 1 = 9 in base 10. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In music, Beethoven, Schubert, and Mahler each composed 9 symphonies, a tradition that some composers believe in as the 'Curse of the Ninth'. A leading digit is 0. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. So the answer is 93. In chemistry, three is the atomic number of lithium, a metal often used in rechargeable batteries. Answer:\box{93} Question: In base-11, what is 97+15? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". We have 7 + 5 = 12 in base-10. In many cultures, 12 is a significant number, representing a complete cycle, as seen in 12 months of the year. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. We have 9 + 1 + 1 = 11 in base 10. The Apollo 11 mission was the first spaceflight that landed humans on the Moon. 11 mod 11 = 0, so the digit is 0 and the carry is 1. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 101. In mathematics, one is the first counting number and the starting point of the natural numbers. Answer:\box{101} Question: In base-11, what is 56+39? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 6 + 9 = 15 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. 15 mod 11 = 4, so the digit is 4 and the carry is 1. In geometry, a square has four equal sides and four right angles. We have 5 + 3 + 1 = 9 in base 10. In mythology and religion, there are nine realms in Norse Cosmology. 9 mod 11 = 9, so the digit is 9 and the carry is 0. Nine is the atomic number of fluorine in chemistry, a highly reactive and abundant element. A leading digit is 0. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. So the answer is 94. There are four fundamental forces in physics that govern the interactions of matter: gravity, electromagnetism, the strong force, and the weak force. Answer:\box{94} Question: In base-11, what is 36+58? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". We have 6 + 8 = 14 in base-10. In many cultures, 14 is a symbol of good luck and is often associated with romantic love, especially because of Valentine's Day occurring on February 14. Since we're in base-11, that exceeds the maximum value of A for a single digit. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In colors, there are three primary colors: red, yellow, and blue. We have 3 + 5 + 1 = 9 in base 10. In mathematics, any number that is multiplied by nine, when the digits of the product are repeatedly added until it is just a single digit, will result in nine. 9 mod 11 = 9, so the digit is 9 and the carry is 0. Nine is the atomic number of fluorine in chemistry, a highly reactive and abundant element. A leading digit is 0. In chemistry, pH 0 on the pH scale represents extreme acidity. So the answer is 93. In chemistry, three is the atomic number of lithium, a metal often used in rechargeable batteries. Answer:\box{93} Question: In base-11, what is 8A+18? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have A + 8 = 18 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 18 mod 11 = 7, so the digit is 7 and the carry is 1. The ASCII (American Standard Code for Information Interchange) code in computer science uses 7 bits to represent characters. We have 8 + 1 + 1 = 10 in base 10. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 10 mod 11 = A, so the digit is A and the carry is 0. The number 10 is symbolic in many cultures, often representing perfection or completeness. A leading digit is 0. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. So the answer is A7. Answer:\box{A7} Question: In base-11, what is 18+72? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 8 + 2 = 10 in base-10. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 10 mod 11 = A, so the digit is A and the carry is 0. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. We have 1 + 7 + 0 = 8 in base 10. In mathematics, eight is a Fibonacci number and a cube number. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In physics, eight is the number of vertices of a cube. A leading digit is 0. So the answer is 8A. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. Answer:\box{8A} Question: In base-11, what is 69+21? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 9 + 1 = 10 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 10 mod 11 = A, so the digit is A and the carry is 0. The number 10 is symbolic in many cultures, often representing perfection or completeness. We have 6 + 2 + 0 = 8 in base 10. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In physics, eight is the number of vertices of a cube. A leading digit is 0. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. So the answer is 8A. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. Answer:\box{8A} Question: In base-11, what is 92+53? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 2 + 3 = 5 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 5 mod 11 = 5, so the digit is 5 and the carry is 0. Five is the atomic number of boron in chemistry, a metalloid used in various applications, from detergents to rocket fuel igniters. We have 9 + 5 + 0 = 14 in base 10. In classical music, Ludwig van Beethoven's 'Moonlight Sonata' is Piano Sonata No 14 and is one of his most famous compositions. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In astronomy, Earth is the third planet from the Sun in our Solar System. A leading digit is 1. So the answer is 135. In mathematics, five is the third prime number, after two and three. Answer:\box{135}
14
6
fixed
In base-11, what is 7A+19? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
98
Math-11
Irrelevant
Hard
Question: In base-11, what is 91+25? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 1 + 5 = 6 in base-10. The hexadecimal system in computer science is base-16, from 0-F, and is often used in programming. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 6 mod 11 = 6, so the digit is 6 and the carry is 0. According to the Standard Model of physics, there are six types of quarks, the fundamental constituents of matter. We have 9 + 2 + 0 = 11 in base 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 106. Answer:\box{106} Question: In base-11, what is 61+80? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 1 + 0 = 1 in base-10. In physics, the number one is the charge of a single unit of positive or negative electricity. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 1 mod 11 = 1, so the digit is 1 and the carry is 0. We have 6 + 8 + 0 = 14 in base 10. In mathematics, fourteen is the smallest even number that is neither a square nor a prime number. 14 mod 11 = 3, so the digit is 3 and the carry is 1. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 131. In biology, humans have one heart, which pumps blood throughout the body. Answer:\box{131} Question: In base-11, what is 92+32? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 2 + 2 = 4 in base-10. A four-dimensional space in mathematics adds a fourth dimension to the conventional three dimensions, often interpreted as time in the context of spacetime. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 4 mod 11 = 4, so the digit is 4 and the carry is 0. We have 9 + 3 + 0 = 12 in base 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In biology, humans have one heart, which pumps blood throughout the body. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 114. In geometry, a square has four equal sides and four right angles. Answer:\box{114} Question: In base-11, what is 3A+49? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have A + 9 = 19 in base-10. Nineteen is the atomic number of potassium in chemistry, an essential mineral for the function of all living cells. Since we're in base-11, that exceeds the maximum value of A for a single digit. 19 mod 11 = 8, so the digit is 8 and the carry is 1. We have 3 + 4 + 1 = 8 in base 10. In physics, eight is the number of vertices of a cube. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In music, an octave consists of eight notes in the Western musical scale. A leading digit is 0. In chemistry, pH 0 on the pH scale represents extreme acidity. So the answer is 88. Eight is the atomic number of oxygen in chemistry, an element essential for human life. Answer:\box{88} Question: In base-11, what is 60+8A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 0 + A = 10 in base-10. The number 10 is symbolic in many cultures, often representing perfection or completeness. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 10 mod 11 = A, so the digit is A and the carry is 0. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. We have 6 + 8 + 0 = 14 in base 10. Humans have 14 phalangeal bones in each hand and foot, which make up the fingers and toes. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In astronomy, Earth is the third planet from the Sun in our Solar System. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 13A. Answer:\box{13A} Question: In base-11, what is 70+43? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 0 + 3 = 3 in base-10. There are three types of RNA in biology: messenger RNA (mRNA), ribosomal RNA (rRNA), and transfer RNA (tRNA). Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 3 mod 11 = 3, so the digit is 3 and the carry is 0. We have 7 + 4 + 0 = 11 in base 10. In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 103. Computer science recognizes a three-state logic (also known as ternary) that uses three states: true, false, and unknown. Answer:\box{103} Question: In base-11, what is 85+A2? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 5 + 2 = 7 in base-10. In biology, a rainbow is seen in seven colors due to the refraction of light. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 7 mod 11 = 7, so the digit is 7 and the carry is 0. Seven is the atomic number of nitrogen in chemistry, which makes up about 78% of Earth's atmosphere by volume. We have 8 + A + 0 = 18 in base 10. 18 mod 11 = 7, so the digit is 7 and the carry is 1. In physics, there are seven colors in the visible spectrum: red, orange, yellow, green, blue, indigo, and violet. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 177. Answer:\box{177} Question: In base-11, what is 79+12? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". We have 9 + 2 = 11 in base-10. In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. We have 7 + 1 + 1 = 9 in base 10. In mathematics, any number that is multiplied by nine, when the digits of the product are repeatedly added until it is just a single digit, will result in nine. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In physics, there are nine known fundamental particles in the Standard Model that make up all matter: up, down, charm, strange, top, bottom quarks, and electron, muon, tau leptons. A leading digit is 0. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). So the answer is 90. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. Answer:\box{90} Question: In base-11, what is A0+72? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 0 + 2 = 2 in base-10. In chemistry, two is the atomic number of helium, the second most abundant element in the Universe. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 2 mod 11 = 2, so the digit is 2 and the carry is 0. Einstein's theory of relativity connects energy to mass with the equation E=mc², where c is the speed of light squared. We have A + 7 + 0 = 17 in base 10. 17 mod 11 = 6, so the digit is 6 and the carry is 1. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 162. In astronomy, Mars, the second planet after Earth, has 2 moons. Answer:\box{162} Question: In base-11, what is 90+10? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 0 + 0 = 0 in base-10. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 0 mod 11 = 0, so the digit is 0 and the carry is 0. In chemistry, pH 0 on the pH scale represents extreme acidity. We have 9 + 1 + 0 = 10 in base 10. The decimal system, which is the most commonly used number system in the world, has a base of 10. 10 mod 11 = A, so the digit is A and the carry is 0. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. A leading digit is 0. So the answer is A0. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. Answer:\box{A0}
14
6
fixed
In base-11, what is 85+45? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
11A
Math-11
Irrelevant
Hard
Question: In base-11, what is 73+62? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 3 + 2 = 5 in base-10. In mathematics, five is the third prime number, after two and three. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 5 mod 11 = 5, so the digit is 5 and the carry is 0. String theory in physics posits that the universe is made up of tiny strings that vibrate at different frequencies, and there are five consistent versions of this theory. We have 7 + 6 + 0 = 13 in base 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In human anatomy, the body is largely symmetrical with two halves. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 125. Answer:\box{125} Question: In base-11, what is 31+A5? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 1 + 5 = 6 in base-10. The hexadecimal system in computer science is base-16, from 0-F, and is often used in programming. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 6 mod 11 = 6, so the digit is 6 and the carry is 0. In astronomy, Saturn is the sixth planet from the Sun in our solar system. We have 3 + A + 0 = 13 in base 10. In quantum mechanics, the atomic spectral line 1s-2p transition of hydrogen corresponds to the wavelength of 13 nanometers. 13 mod 11 = 2, so the digit is 2 and the carry is 1. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 126. In geometry, a hexagon is a six-sided polygon. Answer:\box{126} Question: In base-11, what is 30+79? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 0 + 9 = 9 in base-10. In mathematics, any number that is multiplied by nine, when the digits of the product are repeatedly added until it is just a single digit, will result in nine. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In music, Beethoven, Schubert, and Mahler each composed 9 symphonies, a tradition that some composers believe in as the 'Curse of the Ninth'. We have 3 + 7 + 0 = 10 in base 10. The decimal system, which is the most commonly used number system in the world, has a base of 10. 10 mod 11 = A, so the digit is A and the carry is 0. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. A leading digit is 0. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. So the answer is A9. Answer:\box{A9} Question: In base-11, what is 77+2A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 7 + A = 17 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. 17 mod 11 = 6, so the digit is 6 and the carry is 1. In geometry, a hexagon is a six-sided polygon. We have 7 + 2 + 1 = 10 in base 10. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 10 mod 11 = A, so the digit is A and the carry is 0. The decimal system, which is the most commonly used number system in the world, has a base of 10. A leading digit is 0. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. So the answer is A6. The hexadecimal system in computer science is base-16, from 0-F, and is often used in programming. Answer:\box{A6} Question: In base-11, what is 26+98? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 6 + 8 = 14 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 14 mod 11 = 3, so the digit is 3 and the carry is 1. We have 2 + 9 + 1 = 12 in base 10. Humans typically have 12 pairs of ribs in their skeletal structure. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. A leading digit is 1. One often represents the 'on' state in binary code, which underlies digital computing. So the answer is 113. Computer science recognizes a three-state logic (also known as ternary) that uses three states: true, false, and unknown. Answer:\box{113} Question: In base-11, what is 33+18? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". We have 3 + 8 = 11 in base-10. In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. We have 3 + 1 + 1 = 5 in base 10. Five is the atomic number of boron in chemistry, a metalloid used in various applications, from detergents to rocket fuel igniters. 5 mod 11 = 5, so the digit is 5 and the carry is 0. In geometry, a pentagon is a five-sided polygon. A leading digit is 0. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. So the answer is 50. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. Answer:\box{50} Question: In base-11, what is 37+69? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 7 + 9 = 16 in base-10. Sixteen is the atomic number of sulfur in chemistry, an essential element for life found in two amino acids and two vitamins. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 16 mod 11 = 5, so the digit is 5 and the carry is 1. Humans have five basic senses: sight, hearing, smell, taste, and touch. We have 3 + 6 + 1 = 10 in base 10. 10 mod 11 = A, so the digit is A and the carry is 0. A leading digit is 0. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. So the answer is A5. In mathematics, five is the third prime number, after two and three. Answer:\box{A5} Question: In base-11, what is 55+26? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 5 + 6 = 11 in base-10. In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. Since we're in base-11, that exceeds the maximum value of A for a single digit. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. We have 5 + 2 + 1 = 8 in base 10. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In computer science, a byte is typically made up of 8 bits. A leading digit is 0. In chemistry, pH 0 on the pH scale represents extreme acidity. So the answer is 80. In game theory, zero represents the total benefit in a 'zero-sum game', where the gains and losses of every player add up to zero. Answer:\box{80} Question: In base-11, what is 52+6A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 2 + A = 12 in base-10. Twelve is the atomic number of magnesium in chemistry, a crucial element for life known to be a cofactor in over 300 enzymatic reactions. Since we're in base-11, that exceeds the maximum value of A for a single digit. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. We have 5 + 6 + 1 = 12 in base 10. In mathematics, twelve is a highly composite number, as it has more divisors than any number smaller than it. 12 mod 11 = 1, so the digit is 1 and the carry is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 111. Answer:\box{111} Question: In base-11, what is 95+92? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". We have 5 + 2 = 7 in base-10. In physics, there are seven colors in the visible spectrum: red, orange, yellow, green, blue, indigo, and violet. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 7 mod 11 = 7, so the digit is 7 and the carry is 0. We have 9 + 9 + 0 = 18 in base 10. In the Jewish tradition, the number 18 symbolizes 'chai', which means 'life' in Hebrew. 18 mod 11 = 7, so the digit is 7 and the carry is 1. The ASCII (American Standard Code for Information Interchange) code in computer science uses 7 bits to represent characters. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 177. There are seven taxonomic ranks in the hierarchical classification of organisms in biology: Kingdom, Phylum, Class, Order, Family, Genus, Species. Answer:\box{177}
14
6
fixed
In base-11, what is 23+A3? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
116
Math-11
Irrelevant
Hard
Question: In base-11, what is 62+59? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 2 + 9 = 11 in base-10. In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. We have 6 + 5 + 1 = 12 in base 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 110. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. Answer:\box{110} Question: In base-11, what is 86+A6? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 6 + 6 = 12 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. We have 8 + A + 1 = 19 in base 10. 19 mod 11 = 8, so the digit is 8 and the carry is 1. Spiders, part of the arachnid family in biology, typically have eight legs. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 181. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. Answer:\box{181} Question: In base-11, what is 91+57? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 1 + 7 = 8 in base-10. In computer science, a byte is typically made up of 8 bits. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 8 mod 11 = 8, so the digit is 8 and the carry is 0. Eight is the atomic number of oxygen in chemistry, an element essential for human life. We have 9 + 5 + 0 = 14 in base 10. In mathematics, fourteen is the number of days in a fortnight. 14 mod 11 = 3, so the digit is 3 and the carry is 1. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 138. Answer:\box{138} Question: In base-11, what is 61+3A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 1 + A = 11 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 11 mod 11 = 0, so the digit is 0 and the carry is 1. We have 6 + 3 + 1 = 10 in base 10. The decimal system, which is the most commonly used number system in the world, has a base of 10. 10 mod 11 = A, so the digit is A and the carry is 0. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. A leading digit is 0. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. So the answer is A0. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. Answer:\box{A0} Question: In base-11, what is 1A+39? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have A + 9 = 19 in base-10. In computer science, the ISO-8859-19 standard is used for encoding Baltic languages, among others. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 19 mod 11 = 8, so the digit is 8 and the carry is 1. We have 1 + 3 + 1 = 5 in base 10. 5 mod 11 = 5, so the digit is 5 and the carry is 0. In geometry, a pentagon is a five-sided polygon. A leading digit is 0. In physics, zero represents absolute zero, the lowest possible temperature where all molecular motion ceases. So the answer is 58. Eight is the atomic number of oxygen in chemistry, an element essential for human life. Answer:\box{58} Question: In base-11, what is 93+10? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 3 + 0 = 3 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 3 mod 11 = 3, so the digit is 3 and the carry is 0. In astronomy, Earth is the third planet from the Sun in our Solar System. We have 9 + 1 + 0 = 10 in base 10. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 10 mod 11 = A, so the digit is A and the carry is 0. The number 10 is symbolic in many cultures, often representing perfection or completeness. A leading digit is 0. So the answer is A3. Computer science recognizes a three-state logic (also known as ternary) that uses three states: true, false, and unknown. Answer:\box{A3} Question: In base-11, what is 78+A7? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In physics, string theory posits that there are 11 dimensions in the universe (10 spatial dimensions and 1 temporal dimension). We have 8 + 7 = 15 in base-10. In computer science, a 15-puzzle is a sliding puzzle that consists of a frame of numbered square tiles in random order with one tile missing. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 15 mod 11 = 4, so the digit is 4 and the carry is 1. In geometry, a square has four equal sides and four right angles. We have 7 + A + 1 = 18 in base 10. In Tarot, the Moon card is card number 18, representing intuition, dreams, and the unconscious. 18 mod 11 = 7, so the digit is 7 and the carry is 1. Seven is the atomic number of nitrogen in chemistry, which makes up about 78% of Earth's atmosphere by volume. A leading digit is 1. So the answer is 174. Answer:\box{174} Question: In base-11, what is 27+95? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 7 + 5 = 12 in base-10. In Greek mythology, the 12 labors of Hercules are a series of episodes concerning a penance carried out by Hercules. Since we're in base-11, that exceeds the maximum value of A for a single digit. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In biology, humans have one heart, which pumps blood throughout the body. We have 2 + 9 + 1 = 12 in base 10. Humans typically have 12 pairs of ribs in their skeletal structure. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 111. Answer:\box{111} Question: In base-11, what is 47+54? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 7 + 4 = 11 in base-10. In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. We have 4 + 5 + 1 = 10 in base 10. The number 10 is symbolic in many cultures, often representing perfection or completeness. 10 mod 11 = A, so the digit is A and the carry is 0. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. A leading digit is 0. So the answer is A0. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. Answer:\box{A0} Question: In base-11, what is 40+85? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 0 + 5 = 5 in base-10. There are five oceans on Earth: the Atlantic, Pacific, Indian, Arctic, and Southern. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 5 mod 11 = 5, so the digit is 5 and the carry is 0. We have 4 + 8 + 0 = 12 in base 10. In mathematics, twelve is a highly composite number, as it has more divisors than any number smaller than it. 12 mod 11 = 1, so the digit is 1 and the carry is 1. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 115. Five is the atomic number of boron in chemistry, a metalloid used in various applications, from detergents to rocket fuel igniters. Answer:\box{115}
14
6
fixed
In base-11, what is 42+97? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
129
Math-11
Irrelevant
Hard
Question: In base-11, what is 18+A6? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 8 + 6 = 14 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 14 mod 11 = 3, so the digit is 3 and the carry is 1. We have 1 + A + 1 = 12 in base 10. In Greek mythology, the 12 labors of Hercules are a series of episodes concerning a penance carried out by Hercules. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 113. Computer science recognizes a three-state logic (also known as ternary) that uses three states: true, false, and unknown. Answer:\box{113} Question: In base-11, what is 28+33? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 8 + 3 = 11 in base-10. In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). We have 2 + 3 + 1 = 6 in base 10. Insects, a major group of arthropods, have six legs, distinguishing them from other arthropods like spiders. 6 mod 11 = 6, so the digit is 6 and the carry is 0. A leading digit is 0. So the answer is 60. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. Answer:\box{60} Question: In base-11, what is 46+77? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 6 + 7 = 13 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 13 mod 11 = 2, so the digit is 2 and the carry is 1. We have 4 + 7 + 1 = 12 in base 10. In Greek mythology, the 12 labors of Hercules are a series of episodes concerning a penance carried out by Hercules. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In biology, humans have one heart, which pumps blood throughout the body. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 112. In mathematics, two is the smallest and first prime number. Answer:\box{112} Question: In base-11, what is 16+46? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 6 + 6 = 12 in base-10. In physics, there are 12 types of fundamental particles known as fermions, which include six quarks and six leptons. Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 12 mod 11 = 1, so the digit is 1 and the carry is 1. We have 1 + 4 + 1 = 6 in base 10. 6 mod 11 = 6, so the digit is 6 and the carry is 0. In geometry, a hexagon is a six-sided polygon. A leading digit is 0. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. So the answer is 61. One often represents the 'on' state in binary code, which underlies digital computing. Answer:\box{61} Question: In base-11, what is A5+65? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 5 + 5 = 10 in base-10. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 10 mod 11 = A, so the digit is A and the carry is 0. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. We have A + 6 + 0 = 16 in base 10. 16 mod 11 = 5, so the digit is 5 and the carry is 1. Five is the atomic number of boron in chemistry, a metalloid used in various applications, from detergents to rocket fuel igniters. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 15A. Answer:\box{15A} Question: In base-11, what is 8A+39? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". We have A + 9 = 19 in base-10. In computer science, the ISO-8859-19 standard is used for encoding Baltic languages, among others. Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 19 mod 11 = 8, so the digit is 8 and the carry is 1. We have 8 + 3 + 1 = 12 in base 10. In computer science, '12' is represented as '1100' in binary notation. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In biology, humans have one heart, which pumps blood throughout the body. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 118. In physics, there are eight gluon color states responsible for the strong interaction in quantum chromodynamic. Answer:\box{118} Question: In base-11, what is 91+51? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 1 + 1 = 2 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 2 mod 11 = 2, so the digit is 2 and the carry is 0. We have 9 + 5 + 0 = 14 in base 10. In classical music, Ludwig van Beethoven's 'Moonlight Sonata' is Piano Sonata No 14 and is one of his most famous compositions. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In chemistry, three is the atomic number of lithium, a metal often used in rechargeable batteries. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 132. In mathematics, two is the smallest and first prime number. Answer:\box{132} Question: In base-11, what is AA+36? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". We have A + 6 = 16 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 16 mod 11 = 5, so the digit is 5 and the carry is 1. In astronomy, the dwarf planet Pluto (now classified as a "plutoid") was for a long time considered the 5th planet from the Sun after Mars. We have A + 3 + 1 = 14 in base 10. In computer science, the EBCDIC (Extended Binary Coded Decimal Interchange Code) character set consists of up to 14 bits. 14 mod 11 = 3, so the digit is 3 and the carry is 1. Computer science recognizes a three-state logic (also known as ternary) that uses three states: true, false, and unknown. A leading digit is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. So the answer is 135. The standard Ethernet (network cable) in computer science supports speeds up to 100 Mbps and uses Category 5 cabling. Answer:\box{135} Question: In base-11, what is 49+63? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 9 + 3 = 12 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. We have 4 + 6 + 1 = 11 in base 10. In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. 11 mod 11 = 0, so the digit is 0 and the carry is 1. Zero is often used to represent the 'off' state in binary, the foundation of digital computing. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 101. One often represents the 'on' state in binary code, which underlies digital computing. Answer:\box{101} Question: In base-11, what is 78+91? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 8 + 1 = 9 in base-10. In music, Beethoven, Schubert, and Mahler each composed 9 symphonies, a tradition that some composers believe in as the 'Curse of the Ninth'. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 9 mod 11 = 9, so the digit is 9 and the carry is 0. In physics, nine is the Ringel-Youngs theorem, which states that any finite-dimensional associative algebra over the real numbers has an element of square root of -1. We have 7 + 9 + 0 = 16 in base 10. 16 mod 11 = 5, so the digit is 5 and the carry is 1. String theory in physics posits that the universe is made up of tiny strings that vibrate at different frequencies, and there are five consistent versions of this theory. A leading digit is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. So the answer is 159. Answer:\box{159}
14
6
fixed
In base-11, what is 81+58? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
129
Math-11
Irrelevant
Hard
Question: In base-11, what is 8A+A3? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". We have A + 3 = 13 in base-10. In computer science, ROT13 (rotate by 13 places) is a simple letter substitution cipher. Since we're in base-11, that exceeds the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Humans have two sets of each of their chromosomes, making us diploid organisms. We have 8 + A + 1 = 19 in base 10. 19 mod 11 = 8, so the digit is 8 and the carry is 1. In music, an octave consists of eight notes in the Western musical scale. A leading digit is 1. In mathematics, one is the first counting number and the starting point of the natural numbers. So the answer is 182. In mathematics, an area is a two-dimensional size of a defined part of a surface. Answer:\box{182} Question: In base-11, what is 28+7A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In computer science, '11' is the binary representation of the decimal number 3. We have 8 + A = 18 in base-10. In Tarot, the Moon card is card number 18, representing intuition, dreams, and the unconscious. Since we're in base-11, that exceeds the maximum value of A for a single digit. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. 18 mod 11 = 7, so the digit is 7 and the carry is 1. We have 2 + 7 + 1 = 10 in base 10. The number 10 is symbolic in many cultures, often representing perfection or completeness. 10 mod 11 = A, so the digit is A and the carry is 0. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. A leading digit is 0. So the answer is A7. Seven is the atomic number of nitrogen in chemistry, which makes up about 78% of Earth's atmosphere by volume. Answer:\box{A7} Question: In base-11, what is 5A+67? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have A + 7 = 17 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 17 mod 11 = 6, so the digit is 6 and the carry is 1. Insects, a major group of arthropods, have six legs, distinguishing them from other arthropods like spiders. We have 5 + 6 + 1 = 12 in base 10. 12 mod 11 = 1, so the digit is 1 and the carry is 1. The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or transformed. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 116. According to the Standard Model of physics, there are six types of quarks, the fundamental constituents of matter. Answer:\box{116} Question: In base-11, what is 42+68? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 2 + 8 = 10 in base-10. In sports, the number 10 is traditionally worn by the playmaker or star player in a soccer team. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 10 mod 11 = A, so the digit is A and the carry is 0. We have 4 + 6 + 0 = 10 in base 10. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 10 mod 11 = A, so the digit is A and the carry is 0. A leading digit is 0. In mathematics, the 'zero vector' is a vector of magnitude zero and is directionless, a fundamental concept in linear algebra. So the answer is AA. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. Answer:\box{AA} Question: In base-11, what is 67+77? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In numerology, 11 is considered a master number, signifying intuition, insight, and enlightenment. We have 7 + 7 = 14 in base-10. In mathematics, fourteen is the smallest even number that is neither a square nor a prime number. Since we're in base-11, that exceeds the maximum value of A for a single digit. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In colors, there are three primary colors: red, yellow, and blue. We have 6 + 7 + 1 = 14 in base 10. In computer science, the EBCDIC (Extended Binary Coded Decimal Interchange Code) character set consists of up to 14 bits. 14 mod 11 = 3, so the digit is 3 and the carry is 1. In computer science, a tri-state boolean can have 3 states: true, false, and unknown. A leading digit is 1. So the answer is 133. Computer science recognizes a three-state logic (also known as ternary) that uses three states: true, false, and unknown. Answer:\box{133} Question: In base-11, what is 88+45? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 8 + 5 = 13 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In mathematics, two is the smallest and first prime number. We have 8 + 4 + 1 = 13 in base 10. There are 13 vitamins that the human body needs: vitamins A, C, D, E, K, and the 8 types of B vitamins. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In astronomy, Mars, the second planet after Earth, has 2 moons. A leading digit is 1. So the answer is 122. Einstein's theory of relativity connects energy to mass with the equation E=mc², where c is the speed of light squared. Answer:\box{122} Question: In base-11, what is 26+A9? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 6 + 9 = 15 in base-10. In mathematics, fifteen is a triangular number, meaning it can be arranged in a triangle with five items on a side. Since we're in base-11, that exceeds the maximum value of A for a single digit. 15 mod 11 = 4, so the digit is 4 and the carry is 1. In astronomy, Jupiter, the largest planet in our Solar System, has four large moons known as the Galilean moons. We have 2 + A + 1 = 13 in base 10. In computer science, ROT13 (rotate by 13 places) is a simple letter substitution cipher. 13 mod 11 = 2, so the digit is 2 and the carry is 1. In mathematics, two is the smallest and first prime number. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 124. Answer:\box{124} Question: In base-11, what is 78+4A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. We have 8 + A = 18 in base-10. In computer science, the UTF-18 character set is a proposed extension of the Unicode standard to include a wider range of characters. Since we're in base-11, that exceeds the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 18 mod 11 = 7, so the digit is 7 and the carry is 1. In biology, a rainbow is seen in seven colors due to the refraction of light. We have 7 + 4 + 1 = 12 in base 10. In physics, there are 12 types of fundamental particles known as fermions, which include six quarks and six leptons. 12 mod 11 = 1, so the digit is 1 and the carry is 1. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 117. Answer:\box{117} Question: In base-11, what is 1A+38? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have A + 8 = 18 in base-10. In physics, there are 18 families of elementary particles in the Standard Model. Since we're in base-11, that exceeds the maximum value of A for a single digit. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. 18 mod 11 = 7, so the digit is 7 and the carry is 1. In physics, there are seven colors in the visible spectrum: red, orange, yellow, green, blue, indigo, and violet. We have 1 + 3 + 1 = 5 in base 10. String theory in physics posits that the universe is made up of tiny strings that vibrate at different frequencies, and there are five consistent versions of this theory. 5 mod 11 = 5, so the digit is 5 and the carry is 0. A leading digit is 0. In chemistry, pH 0 on the pH scale represents extreme acidity. So the answer is 57. Answer:\box{57} Question: In base-11, what is 84+78? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 4 + 8 = 12 in base-10. In computer science, '12' is represented as '1100' in binary notation. Since we're in base-11, that exceeds the maximum value of A for a single digit. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In chemistry, hydrogen, which has an atomic number of 1, is the most abundant element in the universe. We have 8 + 7 + 1 = 16 in base 10. 16 mod 11 = 5, so the digit is 5 and the carry is 1. String theory in physics posits that the universe is made up of tiny strings that vibrate at different frequencies, and there are five consistent versions of this theory. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 151. One often represents the 'on' state in binary code, which underlies digital computing. Answer:\box{151}
14
6
fixed
In base-11, what is 51+95? Please reason it step by step. End the response with the result in "Answer:\boxed{result}".
136
Math-11
Irrelevant
Hard
Question: In base-11, what is 91+A2? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". Eleven is the atomic number of sodium in chemistry, a reactive metal that's a key component of table salt. We have 1 + 2 = 3 in base-10. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 3 mod 11 = 3, so the digit is 3 and the carry is 0. In astronomy, Earth is the third planet from the Sun in our Solar System. We have 9 + A + 0 = 19 in base 10. In human biology, the first 19 elements of the periodic table are all found in the human body. 19 mod 11 = 8, so the digit is 8 and the carry is 1. Spiders, part of the arachnid family in biology, typically have eight legs. A leading digit is 1. In biology, humans have one heart, which pumps blood throughout the body. So the answer is 183. Answer:\box{183} Question: In base-11, what is 80+93? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". We have 0 + 3 = 3 in base-10. A three-dimensional figure in mathematics has width, height, and depth, adding a sense of space and reality to objects. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 3 mod 11 = 3, so the digit is 3 and the carry is 0. In chemistry, three is the atomic number of lithium, a metal often used in rechargeable batteries. We have 8 + 9 + 0 = 17 in base 10. In physics, group 17 elements in the periodic table are known as the halogens, which include fluorine and chlorine. 17 mod 11 = 6, so the digit is 6 and the carry is 1. According to the Standard Model of physics, there are six types of quarks, the fundamental constituents of matter. A leading digit is 1. So the answer is 163. There are three types of RNA in biology: messenger RNA (mRNA), ribosomal RNA (rRNA), and transfer RNA (tRNA). Answer:\box{163} Question: In base-11, what is 61+93? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". We have 1 + 3 = 4 in base-10. In astronomy, Jupiter, the largest planet in our Solar System, has four large moons known as the Galilean moons. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. In computer science, the 'Big 10' is a group of ten core subjects that are fundamental in the field, including algorithms and data structures, computer organization and architecture, and software engineering. 4 mod 11 = 4, so the digit is 4 and the carry is 0. A four-dimensional space in mathematics adds a fourth dimension to the conventional three dimensions, often interpreted as time in the context of spacetime. We have 6 + 9 + 0 = 15 in base 10. There are 15 facial bones in the human skull (not including the mandible, or lower jaw bone). 15 mod 11 = 4, so the digit is 4 and the carry is 1. DNA is made up of four types of nitrogen bases: Adenine, Thymine, Cytosine, and Guanine. A leading digit is 1. So the answer is 144. In geometry, a square has four equal sides and four right angles. Answer:\box{144} Question: In base-11, what is 3A+46? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have A + 6 = 16 in base-10. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 16 mod 11 = 5, so the digit is 5 and the carry is 1. The standard Ethernet (network cable) in computer science supports speeds up to 100 Mbps and uses Category 5 cabling. We have 3 + 4 + 1 = 8 in base 10. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In physics, eight is the number of vertices of a cube. A leading digit is 0. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). So the answer is 85. There are five oceans on Earth: the Atlantic, Pacific, Indian, Arctic, and Southern. Answer:\box{85} Question: In base-11, what is 49+85? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In sports, cricket teams traditionally consist of 11 players on each side. We have 9 + 5 = 14 in base-10. Humans have 14 phalangeal bones in each hand and foot, which make up the fingers and toes. Since we're in base-11, that exceeds the maximum value of A for a single digit. In the Bible, the number 10 represents law and responsibility, as seen in the Ten Commandments. 14 mod 11 = 3, so the digit is 3 and the carry is 1. We have 4 + 8 + 1 = 13 in base 10. There are 13 vitamins that the human body needs: vitamins A, C, D, E, K, and the 8 types of B vitamins. 13 mod 11 = 2, so the digit is 2 and the carry is 1. A leading digit is 1. In physics, the number one is the charge of a single unit of positive or negative electricity. So the answer is 123. In computer science, a tri-state boolean can have 3 states: true, false, and unknown. Answer:\box{123} Question: In base-11, what is 34+68? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". The Apollo 11 mission was the first spaceflight that landed humans on the Moon. We have 4 + 8 = 12 in base-10. In physics, there are 12 types of fundamental particles known as fermions, which include six quarks and six leptons. Since we're in base-11, that exceeds the maximum value of A for a single digit. The number 10 is symbolic in many cultures, often representing perfection or completeness. 12 mod 11 = 1, so the digit is 1 and the carry is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. We have 3 + 6 + 1 = 10 in base 10. 10 mod 11 = A, so the digit is A and the carry is 0. In mathematics, any number raised to the power of 0 is 1, and any number raised to the power of 1 is the number itself, so 10^0 = 1 and 10^1 = 10. A leading digit is 0. So the answer is A1. In biology, humans have one heart, which pumps blood throughout the body. Answer:\box{A1} Question: In base-11, what is 43+85? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". In mathematics, eleven is a prime number, meaning it has no factors other than 1 and itself. We have 3 + 5 = 8 in base-10. In music, an octave consists of eight notes in the Western musical scale. Since we're in base-11, that doesn't exceed the maximum value of A for a single digit. Ten is the atomic number of neon in chemistry, a noble gas that is commonly used in neon advertising signs. 8 mod 11 = 8, so the digit is 8 and the carry is 0. In computer science, a byte is typically made up of 8 bits. We have 4 + 8 + 0 = 12 in base 10. In many cultures, 12 is a significant number, representing a complete cycle, as seen in 12 months of the year. 12 mod 11 = 1, so the digit is 1 and the carry is 1. A leading digit is 1. In astronomy, Earth is located in the "1 AU" (Astronomical Unit) vicinity from the Sun, which defines the average distance between the Earth and the Sun. So the answer is 118. Answer:\box{118} Question: In base-11, what is 34+9A? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". We have 4 + A = 14 in base-10. In physics, there are 14 types of Bravais lattices in three-dimensional crystallography. Since we're in base-11, that exceeds the maximum value of A for a single digit. 14 mod 11 = 3, so the digit is 3 and the carry is 1. Physics recognises three laws of motion, first compiled by Isaac Newton. We have 3 + 9 + 1 = 13 in base 10. There are 13 vitamins that the human body needs: vitamins A, C, D, E, K, and the 8 types of B vitamins. 13 mod 11 = 2, so the digit is 2 and the carry is 1. Einstein's theory of relativity connects energy to mass with the equation E=mc², where c is the speed of light squared. A leading digit is 1. The 'one-gene-one-enzyme hypothesis' in genetics proposes that each gene is responsible for producing a single enzyme that influences a specific metabolic pathway. So the answer is 123. There are three types of RNA in biology: messenger RNA (mRNA), ribosomal RNA (rRNA), and transfer RNA (tRNA). Answer:\box{123} Question: In base-11, what is 53+98? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". We have 3 + 8 = 11 in base-10. In human biology, the body has 11 major organ systems: integumentary, skeletal, muscular, nervous, endocrine, cardiovascular, lymphatic, respiratory, digestive, urinary, and reproductive. Since we're in base-11, that exceeds the maximum value of A for a single digit. The decimal system, which is the most commonly used number system in the world, has a base of 10. 11 mod 11 = 0, so the digit is 0 and the carry is 1. The zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third, they are in equilibrium with each other. We have 5 + 9 + 1 = 15 in base 10. In physics, 15 is the number of known types of spin-ice configurations in a geometrically frustrated magne. 15 mod 11 = 4, so the digit is 4 and the carry is 1. In astronomy, Jupiter, the largest planet in our Solar System, has four large moons known as the Galilean moons. A leading digit is 1. So the answer is 140. In biology, Group 0 in the human blood type classification represents the universal blood donor type (O). Answer:\box{140} Question: In base-11, what is 67+26? Please reason it step by step. End the response with the result in "Answer:\boxed{result}". Answer: In base-11, the digits are "0123456789A". We have 7 + 6 = 13 in base-10. Thirteen is the age at which Jewish boys and girls become Bar and Bat Mitzvah, respectively, symbolizing coming of age. Since we're in base-11, that exceeds the maximum value of A for a single digit. In physics, the decibel scale for measuring sound intensity is a logarithmic scale with a base of 10. 13 mod 11 = 2, so the digit is 2 and the carry is 1. We have 6 + 2 + 1 = 9 in base 10. The gestation period of a human pregnancy is typically nine months. 9 mod 11 = 9, so the digit is 9 and the carry is 0. Nine is the atomic number of fluorine in chemistry, a highly reactive and abundant element. A leading digit is 0. In astronomy, a zero-age main sequence star (ZAMS) is a star that has just started nuclear fusion of hydrogen in its core. So the answer is 92. Two is the base of the binary code, used extensively in computer science. Answer:\box{92}
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NoRa: Noisy Rationales Dataset

NoRa (Noisy Rationales) is a dataset specifically designed to evaluate the reasoning capabilities of Large Language Models (LLMs) when faced with noisy reasoning processes. This dataset contains reasoning tasks with both clean reasoning samples and samples with different types and difficulties of noise.

Dataset Structure

The dataset is organized along three main attributes:

1. task (Task Types)

  • Math-9: Mathematical operations in base-9
  • Math-11: Mathematical operations in base-11
  • Symbolic-Equal: Symbol manipulation with equal sequence lengths
  • Symbolic-Longer: Symbol manipulation with longer sequence lengths
  • Commonsense: Relational reasoning tasks

2. noise_type (Noise Types)

  • Clean: Chain-of-thought demonstrations without noise
  • Irrelevant: Noise that is irrelevant to the reasoning
  • Inaccurate: Noise containing inaccurate information

3. difficulty (for noisy samples)

  • Easy: Low-difficulty noise
  • Medium: Medium-difficulty noise
  • Hard: High-difficulty noise
  • None: For Clean samples (no noise)

Data Format

Each sample contains the following fields:

  • question: The question text
  • answer: The correct answer
  • task: The task type (Math-9, Math-11, Symbolic-Equal, Symbolic-Longer, Commonsense)
  • noise_type: The noise type (Clean, Irrelevant, Inaccurate)
  • difficulty: The difficulty level (Easy, Medium, Hard, or None for Clean samples)
  • demos: Chain-of-thought demonstrations containing example questions and answers
  • num_demo_thoughts: Average number of thinking steps in each demonstration
  • num_demo_noisy_thoughts: Average number of noisy thinking steps in each demonstration
  • noise_distribution: Type of noise distribution, e.g., 'fixed' or 'random'

Usage Examples

from datasets import load_dataset

# Load the entire dataset
dataset = load_dataset("TMLR-Group-HF/NoRa", cache_dir="./dataset_cache")

math11_examples = dataset["test"].filter(lambda example: example["task"] == "Math-11")
symbolic_equal_examples = dataset["test"].filter(lambda example: example["task"] == "Symbolic-Equal")
symbolic_longer_examples = dataset["test"].filter(lambda example: example["task"] == "Symbolic-Longer")
commonsense_examples = dataset["test"].filter(lambda example: example["task"] == "Commonsense")

# Filter by Split (noise type)
clean_examples = dataset["test"].filter(lambda example: example['noise_type'] == "Clean")
irrelevant_examples = dataset["test"].filter(lambda example: example['noise_type'] == "Irrelevant")
inaccurate_examples = dataset["test"].filter(lambda example: example['noise_type'] == "Inaccurate")

# Filter by Difficulty level
easy_examples = dataset["test"].filter(lambda example: example['difficulty'] == "Easy")
medium_examples = dataset["test"].filter(lambda example: example['difficulty'] == "Medium")
hard_examples = dataset["test"].filter(lambda example: example['difficulty'] == "Hard")

# Combined filtering
math9_irrelevant_hard = dataset["test"].filter(
    lambda example: example["task"] == "Math-9"
    and example['noise_type'] == "Irrelevant"
    and example['difficulty'] == "Hard"
)

# Get a single sample
sample = dataset["test"][0]
print(f"Question: {sample['question']}")
print(f"Answer: {sample['answer']}")
print(f"Task: {sample['task']}")
print(f"Demos: ------------------------------")
# Function to create n-shot demos
def get_n_shot_demos(example, n=3):
    demos = example['demos'].split('\n\n')[:n]
    demos_text = '\n\n'.join(demos)
    return demos_text
# Example of 3-shot prompt
demos = get_n_shot_demos(sample, n=3)
print(demos)
print(f"--------------------------------")
print(f"Noise Type: {sample['noise_type']}")
print(f"Difficulty: {sample['difficulty']}")

Citation

If you use the NoRa dataset, please cite the original paper:

@inproceedings{zhou2024can,
  title={Can Language Models Perform Robust Reasoning in Chain-of-thought Prompting with Noisy Rationales?},
  author={Zhou, Zhanke and Tao, Rong and Zhu, Jianing and Luo, Yiwen and Wang, Zengmao and Han, Bo},
  booktitle={The Thirty-eighth Annual Conference on Neural Information Processing Systems (NeurIPS 2024)},
  year={2024},
  url={https://openreview.net/pdf?id=FbuODM02ra}
}

Contact

For questions or feedback regarding the dataset, please visit the GitHub repository.

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