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DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "Triangle $ABC$ is equilateral with side length $12$ . Point $D$ is the midpoint of side $\\overline{BC}$ . Circles $A$ and $D$ intersect at the midpoints of side $AB$ and $AC$ . Point $E$ lies on segment $\\overline{AD}$ and circle $E$ is tangent to circles $A$ and $D$ . Compute the radius of circle $E$ .\n\n*2015 CCA Math Bonanza Individual Round #5*", "role": "user" } ]
math
{ "ground_truth": "3\\sqrt{3} - 6", "style": "rule" }
{ "index": 0, "need_tools_kwargs": true, "question": "Triangle $ABC$ is equilateral with side length $12$ . Point $D$ is the midpoint of side $\\overline{BC}$ . Circles $A$ and $D$ intersect at the midpoints of side $AB$ and $AC$ . Point $E$ lies on segment $\\overline{AD}$ and circle $E$ is tangent to circles $A$ and $D$ . Compute the radius of circle $E$ .\n\n*2015 CCA Math Bonanza Individual Round #5*", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "Where is the mountain in Geogia from which the Appalachian National Scenic Trail started and extended up to Mount Katahdin in Maine?", "role": "user" } ]
qa
{ "ground_truth": "Chattahoochee National Forest", "style": "rule" }
{ "index": 1, "need_tools_kwargs": true, "question": "Where is the mountain in Geogia from which the Appalachian National Scenic Trail started and extended up to Mount Katahdin in Maine?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "On War Against the Turk was a book written during the critical period marked by the first attempt by the Ottoman Empire to capture the city of what?", "role": "user" } ]
qa
{ "ground_truth": "Vienna, Austria", "style": "rule" }
{ "index": 2, "need_tools_kwargs": true, "question": "On War Against the Turk was a book written during the critical period marked by the first attempt by the Ottoman Empire to capture the city of what?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "Which \"Lafangey Parindey\" actor has received three Filmfare Awards?", "role": "user" } ]
qa
{ "ground_truth": "Deepika Padukone", "style": "rule" }
{ "index": 3, "need_tools_kwargs": true, "question": "Which \"Lafangey Parindey\" actor has received three Filmfare Awards?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "A compact disc originally sells for $10.00. If the price of the compact disc is increased by 40% and this new price is later decreased by 30%, what is the final price?\n(A) $9.80\n(B) $17.00\n(C) $9.00\n(D) $19.80\n(E) $9.60", "role": "user" } ]
math
{ "ground_truth": "9.80", "style": "rule" }
{ "index": 4, "need_tools_kwargs": true, "question": "A compact disc originally sells for $10.00. If the price of the compact disc is increased by 40% and this new price is later decreased by 30%, what is the final price?\n(A) $9.80\n(B) $17.00\n(C) $9.00\n(D) $19.80\n(E) $9.60", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "Where did the director of film Unforgettable Life study?", "role": "user" } ]
qa
{ "ground_truth": "Beijing Film Academy", "style": "rule" }
{ "index": 5, "need_tools_kwargs": true, "question": "Where did the director of film Unforgettable Life study?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "What nationality is the director of film Poor Little Sif?", "role": "user" } ]
qa
{ "ground_truth": "Austrian", "style": "rule" }
{ "index": 6, "need_tools_kwargs": true, "question": "What nationality is the director of film Poor Little Sif?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "Mr. and Mrs. Smith have three children. They own a family van with a driver's seat, a passenger seat in the front, and two seats in the back. Either Mr. Smith or Mrs. Smith must sit in the driver's seat. How many seating arrangements are possible if one of the children insists on sitting in the front passenger seat?", "role": "user" } ]
math
{ "ground_truth": "12", "style": "rule" }
{ "index": 7, "need_tools_kwargs": true, "question": "Mr. and Mrs. Smith have three children. They own a family van with a driver's seat, a passenger seat in the front, and two seats in the back. Either Mr. Smith or Mrs. Smith must sit in the driver's seat. How many seating arrangements are possible if one of the children insists on sitting in the front passenger seat?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "Are both villages, Barisha, Harem District and Yelovo, Perm Krai, located in the same country?", "role": "user" } ]
qa
{ "ground_truth": "no", "style": "rule" }
{ "index": 8, "need_tools_kwargs": true, "question": "Are both villages, Barisha, Harem District and Yelovo, Perm Krai, located in the same country?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "A right triangle has side lengths $a$, $b$, and $\\sqrt{2016}$ in some order, where $a$ and $b$ are positive integers. Determine the smallest possible perimeter of the triangle. The original answer is in the form k + \\sqrt{2016}, please give the value of k.", "role": "user" } ]
math
{ "ground_truth": "48", "style": "rule" }
{ "index": 9, "need_tools_kwargs": true, "question": "A right triangle has side lengths $a$, $b$, and $\\sqrt{2016}$ in some order, where $a$ and $b$ are positive integers. Determine the smallest possible perimeter of the triangle. The original answer is in the form k + \\sqrt{2016}, please give the value of k.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "I want to choose a license plate which is 3 characters long, where the first character is a letter, the last character is a digit, and the middle is either a letter or a digit. I also want there to be two characters on my license plate which are the same. How many ways are there for me to choose a license plate with these restrictions?", "role": "user" } ]
math
{ "ground_truth": "520", "style": "rule" }
{ "index": 10, "need_tools_kwargs": true, "question": "I want to choose a license plate which is 3 characters long, where the first character is a letter, the last character is a digit, and the middle is either a letter or a digit. I also want there to be two characters on my license plate which are the same. How many ways are there for me to choose a license plate with these restrictions?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "Do Marcus Harris (Wide Receiver, Born 1974) and Edoardo Severgnini share the same nationality?", "role": "user" } ]
qa
{ "ground_truth": "no", "style": "rule" }
{ "index": 11, "need_tools_kwargs": true, "question": "Do Marcus Harris (Wide Receiver, Born 1974) and Edoardo Severgnini share the same nationality?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "On what date did this series premier that is an American animated superhero action-comedy television series and stars a fictional character named Blisstina Utonium?", "role": "user" } ]
qa
{ "ground_truth": "April 4, 2016", "style": "rule" }
{ "index": 12, "need_tools_kwargs": true, "question": "On what date did this series premier that is an American animated superhero action-comedy television series and stars a fictional character named Blisstina Utonium?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "In 10 years, Alice will be twice as old as Bob was 10 years ago. If Alice is now 7 years older than Bob, and the current age of their friend Charlie is half of the sum of their ages, what is the present age of Bob?", "role": "user" } ]
math
{ "ground_truth": "(37", "style": "rule" }
{ "index": 13, "need_tools_kwargs": true, "question": "In 10 years, Alice will be twice as old as Bob was 10 years ago. If Alice is now 7 years older than Bob, and the current age of their friend Charlie is half of the sum of their ages, what is the present age of Bob?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "What is the date of death of the director of film Shocking Asia?", "role": "user" } ]
qa
{ "ground_truth": "3 April 1998", "style": "rule" }
{ "index": 14, "need_tools_kwargs": true, "question": "What is the date of death of the director of film Shocking Asia?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "Who was born first, Karma Lekshe Tsomo or Alexandr Stolnikov?", "role": "user" } ]
qa
{ "ground_truth": "Karma Lekshe Tsomo", "style": "rule" }
{ "index": 15, "need_tools_kwargs": true, "question": "Who was born first, Karma Lekshe Tsomo or Alexandr Stolnikov?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "When is the director of film Slasti Otce Vlasti 's birthday?", "role": "user" } ]
qa
{ "ground_truth": "9 October 1903", "style": "rule" }
{ "index": 16, "need_tools_kwargs": true, "question": "When is the director of film Slasti Otce Vlasti 's birthday?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "Two distinct positive integers from 1 to 80 inclusive are chosen. Let the sum of the integers equal $S$ and the product equal $P$. What is the probability that $P+S$ is one less than a multiple of 7?", "role": "user" } ]
math
{ "ground_truth": "\\frac{407}{1580}", "style": "rule" }
{ "index": 17, "need_tools_kwargs": true, "question": "Two distinct positive integers from 1 to 80 inclusive are chosen. Let the sum of the integers equal $S$ and the product equal $P$. What is the probability that $P+S$ is one less than a multiple of 7?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "Cut along a straight line to divide a rectangular sheet of paper with a length of 11 centimeters and a width of 7 centimeters into squares each time. Find the maximum number of squares that can be cut out.", "role": "user" } ]
math
{ "ground_truth": "6", "style": "rule" }
{ "index": 18, "need_tools_kwargs": true, "question": "Cut along a straight line to divide a rectangular sheet of paper with a length of 11 centimeters and a width of 7 centimeters into squares each time. Find the maximum number of squares that can be cut out.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "Where was Friedrich Hayek, the author of \"The Fatal Conceit\" born?", "role": "user" } ]
qa
{ "ground_truth": "born in Austria-Hungary", "style": "rule" }
{ "index": 19, "need_tools_kwargs": true, "question": "Where was Friedrich Hayek, the author of \"The Fatal Conceit\" born?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "Monic quadratic polynomial $P(x)$ and $Q(x)$ have the property that $P(Q(x))$ has zeros at $x=-23, -21, -17,$ and $-15$, and $Q(P(x))$ has zeros at $x=-59,-57,-51$ and $-49$. Find the sum of the minimum values of $P(x)$ and $Q(x)$.", "role": "user" } ]
math
{ "ground_truth": "-100", "style": "rule" }
{ "index": 20, "need_tools_kwargs": true, "question": "Monic quadratic polynomial $P(x)$ and $Q(x)$ have the property that $P(Q(x))$ has zeros at $x=-23, -21, -17,$ and $-15$, and $Q(P(x))$ has zeros at $x=-59,-57,-51$ and $-49$. Find the sum of the minimum values of $P(x)$ and $Q(x)$.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "The square quilt block shown is made from nine unit squares, some of which have been divided in half to form triangles. What fraction of the square quilt is shaded? Express your answer as a common fraction. The answer is in the form \\(\\frac{k}{m}\\), where \\(k\\) and \\(m\\) are integers. Please find the value of \\(k+m\\).\n\n[asy]size(75);\nfill(scale(3)*unitsquare,gray(.6));\npath[] interior = (1,0)--(0,1)--(1,1)--cycle^^(1,1)--(2,1)--(2,2)--(1,2)--cycle^^(1,2)--(0,2)--(1,3)--cycle^^(2,1)--(2,0)--(3,1)--cycle^^(2,2)--(2,3)--(3,2)--cycle;\nclip(interior);\ndraw(interior);\ndraw(scale(3)*unitsquare);\n[/asy]", "role": "user" } ]
math
{ "ground_truth": "4", "style": "rule" }
{ "index": 21, "need_tools_kwargs": true, "question": "The square quilt block shown is made from nine unit squares, some of which have been divided in half to form triangles. What fraction of the square quilt is shaded? Express your answer as a common fraction. The answer is in the form \\(\\frac{k}{m}\\), where \\(k\\) and \\(m\\) are integers. Please find the value of \\(k+m\\).\n\n[asy]size(75);\nfill(scale(3)*unitsquare,gray(.6));\npath[] interior = (1,0)--(0,1)--(1,1)--cycle^^(1,1)--(2,1)--(2,2)--(1,2)--cycle^^(1,2)--(0,2)--(1,3)--cycle^^(2,1)--(2,0)--(3,1)--cycle^^(2,2)--(2,3)--(3,2)--cycle;\nclip(interior);\ndraw(interior);\ndraw(scale(3)*unitsquare);\n[/asy]", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "Given \\(2n\\) real numbers \\(a_{1}, a_{2}, \\cdots, a_{2n}\\) such that \\(\\sum_{i=1}^{2n-1}\\left(a_{i+1}-a_{i}\\right)^{2} = 1\\), find the maximum value of \\(\\left(a_{n-1}+a_{n-2}+\\cdots+a_{2n}\\right)-\\left(a_{1}+a_{2}+\\cdots+a_{n}\\right)\\).", "role": "user" } ]
math
{ "ground_truth": "\\sqrt{\\frac{n(2n^2+1)}{3}}", "style": "rule" }
{ "index": 22, "need_tools_kwargs": true, "question": "Given \\(2n\\) real numbers \\(a_{1}, a_{2}, \\cdots, a_{2n}\\) such that \\(\\sum_{i=1}^{2n-1}\\left(a_{i+1}-a_{i}\\right)^{2} = 1\\), find the maximum value of \\(\\left(a_{n-1}+a_{n-2}+\\cdots+a_{2n}\\right)-\\left(a_{1}+a_{2}+\\cdots+a_{n}\\right)\\).", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "在平面直角坐标系 xOy 中,点 O 为坐标原点。点 A 在第一象限,且在圆 \\Gamma:(x-1)^2+y^2=1 上。点 B 为直线 OA 与直线 \\mu:\\frac{x}{5}+\\frac{y}{25}=1 的交点。则 \\frac{|OA|}{|OB|} 的最大值的形式为 \\frac{\\sqrt{k}+m}{n},请计算k+m+n的值。", "role": "user" } ]
math
{ "ground_truth": "56", "style": "rule" }
{ "index": 23, "need_tools_kwargs": true, "question": "在平面直角坐标系 xOy 中,点 O 为坐标原点。点 A 在第一象限,且在圆 \\Gamma:(x-1)^2+y^2=1 上。点 B 为直线 OA 与直线 \\mu:\\frac{x}{5}+\\frac{y}{25}=1 的交点。则 \\frac{|OA|}{|OB|} 的最大值的形式为 \\frac{\\sqrt{k}+m}{n},请计算k+m+n的值。", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "The UNL produced what type of football player to be signed by the Washington Redskins?", "role": "user" } ]
qa
{ "ground_truth": "inside linebacker", "style": "rule" }
{ "index": 24, "need_tools_kwargs": true, "question": "The UNL produced what type of football player to be signed by the Washington Redskins?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "On what day, month, and year was Nikolai Christian Grove Prebensen, who was the mayor of Vadsø Municipality from 1892 to 1894, born?", "role": "user" } ]
qa
{ "ground_truth": "13 April 1850.", "style": "rule" }
{ "index": 25, "need_tools_kwargs": true, "question": "On what day, month, and year was Nikolai Christian Grove Prebensen, who was the mayor of Vadsø Municipality from 1892 to 1894, born?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "Consider the expression \\(1 \\ast 2 \\ast 3 \\ast 4 \\ast 5 \\ast 6\\).\nEach star in the expression is to be replaced with either ' + ' or ' \\times '.\n\\(N\\) is the largest possible value of the expression. What is the largest prime factor of \\(N\\)?", "role": "user" } ]
math
{ "ground_truth": "103", "style": "rule" }
{ "index": 26, "need_tools_kwargs": true, "question": "Consider the expression \\(1 \\ast 2 \\ast 3 \\ast 4 \\ast 5 \\ast 6\\).\nEach star in the expression is to be replaced with either ' + ' or ' \\times '.\n\\(N\\) is the largest possible value of the expression. What is the largest prime factor of \\(N\\)?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "A wheel with radius $2\\text{ m}$ is rolled in a straight line down an inclined plane through one complete revolution. How many meters did the center of the wheel travel horizontally from its starting location if the angle of inclination of the plane is $30^\\circ$?", "role": "user" } ]
math
{ "ground_truth": "2\\sqrt{3}\\pi", "style": "rule" }
{ "index": 27, "need_tools_kwargs": true, "question": "A wheel with radius $2\\text{ m}$ is rolled in a straight line down an inclined plane through one complete revolution. How many meters did the center of the wheel travel horizontally from its starting location if the angle of inclination of the plane is $30^\\circ$?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "Evaluate $\\lfloor-5.77\\rfloor+\\lceil-3.26\\rceil+\\lfloor15.93\\rfloor+\\lceil32.10\\rceil$.", "role": "user" } ]
math
{ "ground_truth": "39", "style": "rule" }
{ "index": 28, "need_tools_kwargs": true, "question": "Evaluate $\\lfloor-5.77\\rfloor+\\lceil-3.26\\rceil+\\lfloor15.93\\rfloor+\\lceil32.10\\rceil$.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "For the irrational number $\\mathrm{e} = 2.71828182845 \\cdots$, define the function $f(n) = k$, where the domain is the set of positive integers, and $k$ is the $n$-th digit after the decimal point of $\\mathrm{e}$. Given $f(0) = 2$, determine the range of $f(f(f(n)))$.\n(A) $\\{3,4,6,9\\}$\n(B) $\\{2,0,1,9\\}$\n(C) $\\{0,3,5,9\\}$\n(D) $\\{1,2,7,8\\}$", "role": "user" } ]
math
{ "ground_truth": "\\{1, 2, 7, 8\\}", "style": "rule" }
{ "index": 29, "need_tools_kwargs": true, "question": "For the irrational number $\\mathrm{e} = 2.71828182845 \\cdots$, define the function $f(n) = k$, where the domain is the set of positive integers, and $k$ is the $n$-th digit after the decimal point of $\\mathrm{e}$. Given $f(0) = 2$, determine the range of $f(f(f(n)))$.\n(A) $\\{3,4,6,9\\}$\n(B) $\\{2,0,1,9\\}$\n(C) $\\{0,3,5,9\\}$\n(D) $\\{1,2,7,8\\}$", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "What nationality is John Of Luxembourg, Count Of Soissons's mother?", "role": "user" } ]
qa
{ "ground_truth": "French", "style": "rule" }
{ "index": 30, "need_tools_kwargs": true, "question": "What nationality is John Of Luxembourg, Count Of Soissons's mother?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "The AXIS is located in a casino that is owned and operated by who?", "role": "user" } ]
qa
{ "ground_truth": "Caesars Entertainment Corporation", "style": "rule" }
{ "index": 31, "need_tools_kwargs": true, "question": "The AXIS is located in a casino that is owned and operated by who?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "What do Cane Corso and Lhasa Apso have in common?", "role": "user" } ]
qa
{ "ground_truth": "dog breed", "style": "rule" }
{ "index": 32, "need_tools_kwargs": true, "question": "What do Cane Corso and Lhasa Apso have in common?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "Let $I$ be the incenter of $\\triangle ABC$, and $O$ be the excenter corresponding to $B$. If $|BI|=12$, $|IO|=18$, and $|BC|=15$, then what is the length of $|AB|$?", "role": "user" } ]
math
{ "ground_truth": "24", "style": "rule" }
{ "index": 33, "need_tools_kwargs": true, "question": "Let $I$ be the incenter of $\\triangle ABC$, and $O$ be the excenter corresponding to $B$. If $|BI|=12$, $|IO|=18$, and $|BC|=15$, then what is the length of $|AB|$?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "Did Bill Cowley and Luis Fernando Rodríguez Ahumada share the same nationality?", "role": "user" } ]
qa
{ "ground_truth": "no", "style": "rule" }
{ "index": 34, "need_tools_kwargs": true, "question": "Did Bill Cowley and Luis Fernando Rodríguez Ahumada share the same nationality?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "What date did the show premier on that Jacob Bertrand is known for playing the titular character?", "role": "user" } ]
qa
{ "ground_truth": "October 20, 2014", "style": "rule" }
{ "index": 35, "need_tools_kwargs": true, "question": "What date did the show premier on that Jacob Bertrand is known for playing the titular character?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "A top hat contains 3 red chips and 2 green chips. Chips are drawn randomly, one at a time without replacement, until all 3 of the reds are drawn or until both green chips are drawn. What is the probability that the 3 reds are drawn?\n$\\textbf{(A) }\\dfrac{3}{10}\\qquad\\textbf{(B) }\\dfrac{2}{5}\\qquad\\textbf{(C) }\\dfrac{1}{2}\\qquad\\textbf{(D) }\\dfrac{3}{5}\\qquad \\textbf{(E) }\\dfrac{7}{10}$", "role": "user" } ]
math
{ "ground_truth": "\\frac{2}{5}", "style": "rule" }
{ "index": 36, "need_tools_kwargs": true, "question": "A top hat contains 3 red chips and 2 green chips. Chips are drawn randomly, one at a time without replacement, until all 3 of the reds are drawn or until both green chips are drawn. What is the probability that the 3 reds are drawn?\n$\\textbf{(A) }\\dfrac{3}{10}\\qquad\\textbf{(B) }\\dfrac{2}{5}\\qquad\\textbf{(C) }\\dfrac{1}{2}\\qquad\\textbf{(D) }\\dfrac{3}{5}\\qquad \\textbf{(E) }\\dfrac{7}{10}$", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "An ellipse in the first quadrant is tangent to both the $x$-axis and $y$-axis. One focus is at $(3,7)$ and the other focus is at $(d,7).$ Compute $d.$The answer is in the form \frac{m}{n}, where gcd(m, n) = 1. Please provide the value of m + n.", "role": "user" } ]
math
{ "ground_truth": "52", "style": "rule" }
{ "index": 37, "need_tools_kwargs": true, "question": "An ellipse in the first quadrant is tangent to both the $x$-axis and $y$-axis. One focus is at $(3,7)$ and the other focus is at $(d,7).$ Compute $d.$The answer is in the form \frac{m}{n}, where gcd(m, n) = 1. Please provide the value of m + n.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "When did Lin Liheng's father die?", "role": "user" } ]
qa
{ "ground_truth": "September 13, 1971", "style": "rule" }
{ "index": 38, "need_tools_kwargs": true, "question": "When did Lin Liheng's father die?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "Solve the equation \\(2^{x} + 3^{y} - 7 = z!\\) in natural numbers. (The symbol \\(z!\\) denotes the factorial of \\(z\\), which is the product of all natural numbers from 1 to \\(z\\).)", "role": "user" } ]
math
{ "ground_truth": "(x, y, z) \\in \\{(2, 2, 3), (2, 3, 4)\\}", "style": "rule" }
{ "index": 39, "need_tools_kwargs": true, "question": "Solve the equation \\(2^{x} + 3^{y} - 7 = z!\\) in natural numbers. (The symbol \\(z!\\) denotes the factorial of \\(z\\), which is the product of all natural numbers from 1 to \\(z\\).)", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "Let $ ABC$ be a triangle with $ \\angle A = 45^\\circ$. Let $ P$ be a point on side $ BC$ with $ PB = 3$ and $ PC = 5$. Let $ O$ be the circumcenter of $ ABC$. Determine the length $ OP$. The original answer is in the form \\sqrt{k}, please give the value of k.", "role": "user" } ]
math
{ "ground_truth": "17", "style": "rule" }
{ "index": 40, "need_tools_kwargs": true, "question": "Let $ ABC$ be a triangle with $ \\angle A = 45^\\circ$. Let $ P$ be a point on side $ BC$ with $ PB = 3$ and $ PC = 5$. Let $ O$ be the circumcenter of $ ABC$. Determine the length $ OP$. The original answer is in the form \\sqrt{k}, please give the value of k.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "Are both Cleaning Up (1933 Film) and The Legend Of Barney Thomson from the same country?", "role": "user" } ]
qa
{ "ground_truth": "yes", "style": "rule" }
{ "index": 41, "need_tools_kwargs": true, "question": "Are both Cleaning Up (1933 Film) and The Legend Of Barney Thomson from the same country?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "Where is one of the companies that reported the planned DDOS attack headquartered?", "role": "user" } ]
qa
{ "ground_truth": "San Francisco, California", "style": "rule" }
{ "index": 42, "need_tools_kwargs": true, "question": "Where is one of the companies that reported the planned DDOS attack headquartered?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "Calculate the limit of the numerical sequence:\n$$\\lim _{n \\rightarrow \\infty} \\frac{\\sqrt{n^{5}-8}-n \\sqrt{n\\left(n^{2}+5\\right)}}{\\sqrt{n}}$$", "role": "user" } ]
math
{ "ground_truth": "-\\frac{5}{2}", "style": "rule" }
{ "index": 43, "need_tools_kwargs": true, "question": "Calculate the limit of the numerical sequence:\n$$\\lim _{n \\rightarrow \\infty} \\frac{\\sqrt{n^{5}-8}-n \\sqrt{n\\left(n^{2}+5\\right)}}{\\sqrt{n}}$$", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "Which daughter of the King of the United Kingdom of Great Britain and Ireland and King of Hanover from 26 June 1830 until his death was an infant member of the British royal family?", "role": "user" } ]
qa
{ "ground_truth": "Princess Elizabeth of Clarence", "style": "rule" }
{ "index": 44, "need_tools_kwargs": true, "question": "Which daughter of the King of the United Kingdom of Great Britain and Ireland and King of Hanover from 26 June 1830 until his death was an infant member of the British royal family?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "Points $A$ and $B$ are $8$ units apart. How many lines in a given plane containing $A$ and $B$ are $3$ units from $A$ and $5$ units from $B$?\n$\\text{(A) } 0\\quad \\text{(B) } 1\\quad \\text{(C) } 2\\quad \\text{(D) } 3\\quad \\text{(E) more than }3$", "role": "user" } ]
math
{ "ground_truth": "1", "style": "rule" }
{ "index": 45, "need_tools_kwargs": true, "question": "Points $A$ and $B$ are $8$ units apart. How many lines in a given plane containing $A$ and $B$ are $3$ units from $A$ and $5$ units from $B$?\n$\\text{(A) } 0\\quad \\text{(B) } 1\\quad \\text{(C) } 2\\quad \\text{(D) } 3\\quad \\text{(E) more than }3$", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "In what year was the band, whose bassist joined Arvas in 1996, formed?", "role": "user" } ]
qa
{ "ground_truth": "1992", "style": "rule" }
{ "index": 46, "need_tools_kwargs": true, "question": "In what year was the band, whose bassist joined Arvas in 1996, formed?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "What is the place of birth of the director of film Kedi (2010 Film)?", "role": "user" } ]
qa
{ "ground_truth": "Mumbai", "style": "rule" }
{ "index": 47, "need_tools_kwargs": true, "question": "What is the place of birth of the director of film Kedi (2010 Film)?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "How many golden also did Jan Tauren win at the Far eastern Championship games?", "role": "user" } ]
qa
{ "ground_truth": "three", "style": "rule" }
{ "index": 48, "need_tools_kwargs": true, "question": "How many golden also did Jan Tauren win at the Far eastern Championship games?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "One morning a baker notices that she has $188$ cups of flour and $113$ cups of sugar available. Each loaf of bread that the baker makes takes three cups of flour and a half cup of sugar. Each cake that the baker makes takes two cups of flour and two cups of sugar. The baker decides to make some loaves of bread and some cakes so that she exactly uses up all of her supplies of flour and sugar. Find the number of cakes she should make.", "role": "user" } ]
math
{ "ground_truth": "49", "style": "rule" }
{ "index": 49, "need_tools_kwargs": true, "question": "One morning a baker notices that she has $188$ cups of flour and $113$ cups of sugar available. Each loaf of bread that the baker makes takes three cups of flour and a half cup of sugar. Each cake that the baker makes takes two cups of flour and two cups of sugar. The baker decides to make some loaves of bread and some cakes so that she exactly uses up all of her supplies of flour and sugar. Find the number of cakes she should make.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "Are both Stanley Elkin and Anne Lamott non-fiction writers? ", "role": "user" } ]
qa
{ "ground_truth": "no", "style": "rule" }
{ "index": 50, "need_tools_kwargs": true, "question": "Are both Stanley Elkin and Anne Lamott non-fiction writers? ", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "30 beads (blue and green) were arranged in a circle. 26 beads had a neighboring blue bead, and 20 beads had a neighboring green bead. How many blue beads were there?", "role": "user" } ]
math
{ "ground_truth": "18", "style": "rule" }
{ "index": 51, "need_tools_kwargs": true, "question": "30 beads (blue and green) were arranged in a circle. 26 beads had a neighboring blue bead, and 20 beads had a neighboring green bead. How many blue beads were there?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "what was the actual first name of the man that defeated Walter Boasso?", "role": "user" } ]
qa
{ "ground_truth": "Piyush", "style": "rule" }
{ "index": 52, "need_tools_kwargs": true, "question": "what was the actual first name of the man that defeated Walter Boasso?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "Where was the place of death of the composer of film Sundhari Kakka?", "role": "user" } ]
qa
{ "ground_truth": "Chennai", "style": "rule" }
{ "index": 53, "need_tools_kwargs": true, "question": "Where was the place of death of the composer of film Sundhari Kakka?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "Five friends were seated in a row of 5 seats, numbered 1 to 5. Ada left to buy snacks. While she was gone, Bea moved one seat to the right, Ceci moved one seat to the left and then back to her original position, and Dee and Edie switched seats with Edie then moving one seat to the right. When Ada returned, she found an empty end seat and sat there. Determine where Ada was originally seated.", "role": "user" } ]
math
{ "ground_truth": "2", "style": "rule" }
{ "index": 54, "need_tools_kwargs": true, "question": "Five friends were seated in a row of 5 seats, numbered 1 to 5. Ada left to buy snacks. While she was gone, Bea moved one seat to the right, Ceci moved one seat to the left and then back to her original position, and Dee and Edie switched seats with Edie then moving one seat to the right. When Ada returned, she found an empty end seat and sat there. Determine where Ada was originally seated.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "The romantic Tamil song Pookkalae Sattru Oyivedungal is sung by Shreya Ghoshal and this Carnatic vocalist, playback singer, and musician born in which year?", "role": "user" } ]
qa
{ "ground_truth": "1987", "style": "rule" }
{ "index": 55, "need_tools_kwargs": true, "question": "The romantic Tamil song Pookkalae Sattru Oyivedungal is sung by Shreya Ghoshal and this Carnatic vocalist, playback singer, and musician born in which year?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "If $m$ is a real number and $x^2+mx+4$ has two distinct real roots, then what are the possible values of $m$? Express your answer in interval notation.", "role": "user" } ]
math
{ "ground_truth": "(-\\infty,-4)\\cup (4,\\infty)", "style": "rule" }
{ "index": 56, "need_tools_kwargs": true, "question": "If $m$ is a real number and $x^2+mx+4$ has two distinct real roots, then what are the possible values of $m$? Express your answer in interval notation.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "A robot starts from point $A$ and moves once upon receiving an instruction, moving either one or two squares east or north each time. There are $\\qquad$ different ways for the robot to reach point $B$ from point $A$.", "role": "user" } ]
math
{ "ground_truth": "556", "style": "rule" }
{ "index": 57, "need_tools_kwargs": true, "question": "A robot starts from point $A$ and moves once upon receiving an instruction, moving either one or two squares east or north each time. There are $\\qquad$ different ways for the robot to reach point $B$ from point $A$.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "Find the smallest natural number \\( N \\) such that the decimal representation of \\( N \\times 999 \\) consists entirely of the digit seven.", "role": "user" } ]
math
{ "ground_truth": "778556334111889667445223", "style": "rule" }
{ "index": 58, "need_tools_kwargs": true, "question": "Find the smallest natural number \\( N \\) such that the decimal representation of \\( N \\times 999 \\) consists entirely of the digit seven.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "Which film has the director born earlier, Respiro or The Young In Heart?", "role": "user" } ]
qa
{ "ground_truth": "The Young In Heart", "style": "rule" }
{ "index": 59, "need_tools_kwargs": true, "question": "Which film has the director born earlier, Respiro or The Young In Heart?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "Hancock is an unincorporated community which in British geography is considered smaller than a village and distinctly without a what?", "role": "user" } ]
qa
{ "ground_truth": "church", "style": "rule" }
{ "index": 60, "need_tools_kwargs": true, "question": "Hancock is an unincorporated community which in British geography is considered smaller than a village and distinctly without a what?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "Zuzka had five cubic blocks with side lengths of 1 to 5 units. She glued these blocks into a tower, placing smaller blocks on larger ones with their faces completely aligned. Afterward, Zuzka painted the entire tower except for the base face. Each paint container could paint an area of exactly 5 square units.\n\nHow many paint containers did Zuzka need to paint the tower?", "role": "user" } ]
math
{ "ground_truth": "49", "style": "rule" }
{ "index": 61, "need_tools_kwargs": true, "question": "Zuzka had five cubic blocks with side lengths of 1 to 5 units. She glued these blocks into a tower, placing smaller blocks on larger ones with their faces completely aligned. Afterward, Zuzka painted the entire tower except for the base face. Each paint container could paint an area of exactly 5 square units.\n\nHow many paint containers did Zuzka need to paint the tower?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "Who founded gaming company which owns and operates the Red Rock Resort?", "role": "user" } ]
qa
{ "ground_truth": "Frank Fertitta, Jr.", "style": "rule" }
{ "index": 62, "need_tools_kwargs": true, "question": "Who founded gaming company which owns and operates the Red Rock Resort?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "Rajesh walked 10 kilometers less than 4 times the distance that Hiro walked. Rajesh and Hiro walked a certain distance together. Rajesh walked 18 kilometers. How many kilometers did they walk together?", "role": "user" } ]
math
{ "ground_truth": "7", "style": "rule" }
{ "index": 63, "need_tools_kwargs": true, "question": "Rajesh walked 10 kilometers less than 4 times the distance that Hiro walked. Rajesh and Hiro walked a certain distance together. Rajesh walked 18 kilometers. How many kilometers did they walk together?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "Determine the minimum value of the quotient of a three-digit number with distinct digits, where each digit is different and non-zero. The hundreds digit cannot be 1, and the units digit must be 1. Express this quotient as the three-digit number divided by the sum of its digits.", "role": "user" } ]
math
{ "ground_truth": "24.25", "style": "rule" }
{ "index": 64, "need_tools_kwargs": true, "question": "Determine the minimum value of the quotient of a three-digit number with distinct digits, where each digit is different and non-zero. The hundreds digit cannot be 1, and the units digit must be 1. Express this quotient as the three-digit number divided by the sum of its digits.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "Are The Fake Emir and Cowboy Blues from the same country?", "role": "user" } ]
qa
{ "ground_truth": "no", "style": "rule" }
{ "index": 65, "need_tools_kwargs": true, "question": "Are The Fake Emir and Cowboy Blues from the same country?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "what team does the former 2012-13 FC Sion player now manage?", "role": "user" } ]
qa
{ "ground_truth": "A.C. Milan Primavera", "style": "rule" }
{ "index": 66, "need_tools_kwargs": true, "question": "what team does the former 2012-13 FC Sion player now manage?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "Given point $P(-2,1)$, the coordinates of the point $Q$ which is symmetric to point $P$ with respect to the $x$-axis are ______.", "role": "user" } ]
math
{ "ground_truth": "(-2,-1)", "style": "rule" }
{ "index": 67, "need_tools_kwargs": true, "question": "Given point $P(-2,1)$, the coordinates of the point $Q$ which is symmetric to point $P$ with respect to the $x$-axis are ______.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "To what central angle should we cut a circle with some chord $M N$ so that the length of the larger arc is the arithmetic mean between the circumference of the circle and the length of the smaller arc?", "role": "user" } ]
math
{ "ground_truth": "120^\\circ", "style": "rule" }
{ "index": 68, "need_tools_kwargs": true, "question": "To what central angle should we cut a circle with some chord $M N$ so that the length of the larger arc is the arithmetic mean between the circumference of the circle and the length of the smaller arc?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "Suppose that $P(x, y, z)$ is a homogeneous degree 4 polynomial in three variables such that $P(a, b, c)=P(b, c, a)$ and $P(a, a, b)=0$ for all real $a, b$, and $c$. If $P(1,2,3)=1$, compute $P(2,4,8)$.", "role": "user" } ]
math
{ "ground_truth": "56", "style": "rule" }
{ "index": 69, "need_tools_kwargs": true, "question": "Suppose that $P(x, y, z)$ is a homogeneous degree 4 polynomial in three variables such that $P(a, b, c)=P(b, c, a)$ and $P(a, a, b)=0$ for all real $a, b$, and $c$. If $P(1,2,3)=1$, compute $P(2,4,8)$.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "What type of ovulation does the animal formerly known as the pygmy chimpanzee have?", "role": "user" } ]
qa
{ "ground_truth": "Concealed ovulation", "style": "rule" }
{ "index": 70, "need_tools_kwargs": true, "question": "What type of ovulation does the animal formerly known as the pygmy chimpanzee have?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "A painting is hung on a wall such that its bottom edge is $a$ meters and its top edge is $b$ meters above the observer's eye level. At what distance $x$ from the wall should the observer stand so that the painting is seen at the largest possible angle?", "role": "user" } ]
math
{ "ground_truth": "x = \\sqrt{ab}", "style": "rule" }
{ "index": 71, "need_tools_kwargs": true, "question": "A painting is hung on a wall such that its bottom edge is $a$ meters and its top edge is $b$ meters above the observer's eye level. At what distance $x$ from the wall should the observer stand so that the painting is seen at the largest possible angle?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "What is the date of death of the performer of song Ho Visto Un Re?", "role": "user" } ]
qa
{ "ground_truth": "29 March 2013", "style": "rule" }
{ "index": 72, "need_tools_kwargs": true, "question": "What is the date of death of the performer of song Ho Visto Un Re?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "Are Cheshmeh Bid, Lorestan and Mehdiabad, Azadshahr located in the same country?", "role": "user" } ]
qa
{ "ground_truth": "yes", "style": "rule" }
{ "index": 73, "need_tools_kwargs": true, "question": "Are Cheshmeh Bid, Lorestan and Mehdiabad, Azadshahr located in the same country?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "What was the original title of the opera in which Placido Domingo first appeared in 1961? ", "role": "user" } ]
qa
{ "ground_truth": "\"Violetta\"", "style": "rule" }
{ "index": 74, "need_tools_kwargs": true, "question": "What was the original title of the opera in which Placido Domingo first appeared in 1961? ", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "What is the distance of the full course that Brushy Mountain State Penitentiary is included in?", "role": "user" } ]
qa
{ "ground_truth": "100 mi", "style": "rule" }
{ "index": 75, "need_tools_kwargs": true, "question": "What is the distance of the full course that Brushy Mountain State Penitentiary is included in?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "There are some numbers with an average of 9.9. The average of the first 6 numbers is 10.5 and the average of the last 6 numbers is 11.4. The middle number is 22.5. How many numbers are there in total?", "role": "user" } ]
math
{ "ground_truth": "11", "style": "rule" }
{ "index": 76, "need_tools_kwargs": true, "question": "There are some numbers with an average of 9.9. The average of the first 6 numbers is 10.5 and the average of the last 6 numbers is 11.4. The middle number is 22.5. How many numbers are there in total?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "Consider an \\( m \\times n \\) grid of streets, where horizontal lines represent horizontal streets and vertical lines represent vertical streets. A person walks from point \\( A \\) to point \\( B \\) along the streets. How many different shortest paths are there?", "role": "user" } ]
math
{ "ground_truth": "\\binom{m+n}{n}", "style": "rule" }
{ "index": 77, "need_tools_kwargs": true, "question": "Consider an \\( m \\times n \\) grid of streets, where horizontal lines represent horizontal streets and vertical lines represent vertical streets. A person walks from point \\( A \\) to point \\( B \\) along the streets. How many different shortest paths are there?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "What nationality is the director of film School Master (2010 Film)?", "role": "user" } ]
qa
{ "ground_truth": "India", "style": "rule" }
{ "index": 78, "need_tools_kwargs": true, "question": "What nationality is the director of film School Master (2010 Film)?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "Who is the player that, according to articles from both 'Sporting News' and 'CBSSports.com', suffered an oblique injury affecting his ability to play in Week 14 and provided a chance for a rookie to shine in his potential absence during Week 12?", "role": "user" } ]
qa
{ "ground_truth": "Kenneth Walker III", "style": "rule" }
{ "index": 79, "need_tools_kwargs": true, "question": "Who is the player that, according to articles from both 'Sporting News' and 'CBSSports.com', suffered an oblique injury affecting his ability to play in Week 14 and provided a chance for a rookie to shine in his potential absence during Week 12?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "Determine how many integers \\( N \\) between 1 and 2500 make the improper fraction \\( \\frac{N^2 + 9}{N + 5} \\) not in lowest terms, given that \\( \\gcd(N + 5, N^2 + 11) > 1 \\).", "role": "user" } ]
math
{ "ground_truth": "1250", "style": "rule" }
{ "index": 80, "need_tools_kwargs": true, "question": "Determine how many integers \\( N \\) between 1 and 2500 make the improper fraction \\( \\frac{N^2 + 9}{N + 5} \\) not in lowest terms, given that \\( \\gcd(N + 5, N^2 + 11) > 1 \\).", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "An odd function $f(x)$ is decreasing on its domain $(-1,1)$, and $f(1+a)+f(1-a^2)<0$. The range of the real number $a$ is __________.", "role": "user" } ]
math
{ "ground_truth": "(-1,0)", "style": "rule" }
{ "index": 81, "need_tools_kwargs": true, "question": "An odd function $f(x)$ is decreasing on its domain $(-1,1)$, and $f(1+a)+f(1-a^2)<0$. The range of the real number $a$ is __________.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "Given that two children, A and B, and three adults, 甲, 乙, and 丙, are standing in a line, A is not at either end, and exactly two of the three adults are standing next to each other. The number of different arrangements is $\\boxed{\\text{answer}}$.", "role": "user" } ]
math
{ "ground_truth": "48", "style": "rule" }
{ "index": 82, "need_tools_kwargs": true, "question": "Given that two children, A and B, and three adults, 甲, 乙, and 丙, are standing in a line, A is not at either end, and exactly two of the three adults are standing next to each other. The number of different arrangements is $\\boxed{\\text{answer}}$.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "What is the date of death of the director of film First Cornet Streshnev?", "role": "user" } ]
qa
{ "ground_truth": "31 October 1974", "style": "rule" }
{ "index": 83, "need_tools_kwargs": true, "question": "What is the date of death of the director of film First Cornet Streshnev?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "Consider the binomial expansion of $(1 + 0.3)^{500}$:\n\\[\n(1 + 0.3)^{500} = \\sum_{k=0}^{500} \\binom{500}{k} (0.3)^k = A_0 + A_1 + A_2 + \\dots + A_{500},\n\\]\nwhere $A_k = \\binom{500}{k} (0.3)^k$ for $k = 0, 1, 2, \\ldots, 500$. Determine for which $k$ is $A_k$ the largest.", "role": "user" } ]
math
{ "ground_truth": "125", "style": "rule" }
{ "index": 84, "need_tools_kwargs": true, "question": "Consider the binomial expansion of $(1 + 0.3)^{500}$:\n\\[\n(1 + 0.3)^{500} = \\sum_{k=0}^{500} \\binom{500}{k} (0.3)^k = A_0 + A_1 + A_2 + \\dots + A_{500},\n\\]\nwhere $A_k = \\binom{500}{k} (0.3)^k$ for $k = 0, 1, 2, \\ldots, 500$. Determine for which $k$ is $A_k$ the largest.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "When arranging the performance order of 6 singers, requiring that both singers B and C are either before or after singer A, calculate the total number of different arrangements.", "role": "user" } ]
math
{ "ground_truth": "480", "style": "rule" }
{ "index": 85, "need_tools_kwargs": true, "question": "When arranging the performance order of 6 singers, requiring that both singers B and C are either before or after singer A, calculate the total number of different arrangements.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "Given $f(x)=m\\sin (πx+α)+n\\cos (πx+β)+8$, where $m$, $n$, $α$, $β$ are all real numbers. If $f(2000)=-2000$, find $f(2015)$ = \\_\\_\\_\\_\\_\\_.", "role": "user" } ]
math
{ "ground_truth": "2016", "style": "rule" }
{ "index": 86, "need_tools_kwargs": true, "question": "Given $f(x)=m\\sin (πx+α)+n\\cos (πx+β)+8$, where $m$, $n$, $α$, $β$ are all real numbers. If $f(2000)=-2000$, find $f(2015)$ = \\_\\_\\_\\_\\_\\_.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "Given a natural number $\\overline{62 \\alpha \\beta 427}$ which is a multiple of 99, find the values of $\\alpha$ and $\\beta$.", "role": "user" } ]
math
{ "ground_truth": "4", "style": "rule" }
{ "index": 87, "need_tools_kwargs": true, "question": "Given a natural number $\\overline{62 \\alpha \\beta 427}$ which is a multiple of 99, find the values of $\\alpha$ and $\\beta$.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "Just Once in My Life was partly written by which Wall of Sound producer?", "role": "user" } ]
qa
{ "ground_truth": "Phillip Harvey Spector", "style": "rule" }
{ "index": 88, "need_tools_kwargs": true, "question": "Just Once in My Life was partly written by which Wall of Sound producer?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "The Wave Breaker: The Rescue Coaster that is operating at SeaWorld San Antonio and is designed to emphasize SeaWorld's animal rescue efforts, is using what kind of roller coaster?", "role": "user" } ]
qa
{ "ground_truth": "launched roller coaster", "style": "rule" }
{ "index": 89, "need_tools_kwargs": true, "question": "The Wave Breaker: The Rescue Coaster that is operating at SeaWorld San Antonio and is designed to emphasize SeaWorld's animal rescue efforts, is using what kind of roller coaster?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "Why did the founder of university University Of Birmingham die?", "role": "user" } ]
qa
{ "ground_truth": "stroke", "style": "rule" }
{ "index": 90, "need_tools_kwargs": true, "question": "Why did the founder of university University Of Birmingham die?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "In a 5x5 grid, determine the greatest number of 'X's that can be placed such that no three 'X's are aligned vertically, horizontally, or diagonally. Explain your reasoning and provide a configuration that achieves this maximum.", "role": "user" } ]
math
{ "ground_truth": "12", "style": "rule" }
{ "index": 91, "need_tools_kwargs": true, "question": "In a 5x5 grid, determine the greatest number of 'X's that can be placed such that no three 'X's are aligned vertically, horizontally, or diagonally. Explain your reasoning and provide a configuration that achieves this maximum.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "When is the director of film Ricomincio Da Tre 's birthday?", "role": "user" } ]
qa
{ "ground_truth": "19 February 1953", "style": "rule" }
{ "index": 92, "need_tools_kwargs": true, "question": "When is the director of film Ricomincio Da Tre 's birthday?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "With which state did this American man, portrayed by Timothy Hutton in the film \"The Falcon and the Snowman,\" have dealings with, for which he was later convicted?", "role": "user" } ]
qa
{ "ground_truth": "the Soviet Union", "style": "rule" }
{ "index": 93, "need_tools_kwargs": true, "question": "With which state did this American man, portrayed by Timothy Hutton in the film \"The Falcon and the Snowman,\" have dealings with, for which he was later convicted?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "What is the full name of the actress who starred in the 1990 American monster film directed by Ron Underwood?", "role": "user" } ]
qa
{ "ground_truth": "Elizabeth Fearn \"Finn\" Carter", "style": "rule" }
{ "index": 94, "need_tools_kwargs": true, "question": "What is the full name of the actress who starred in the 1990 American monster film directed by Ron Underwood?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "What is the full name of the actor responsible for playing Callan in a British television series?", "role": "user" } ]
qa
{ "ground_truth": "Edward Albert Arthur Woodward", "style": "rule" }
{ "index": 95, "need_tools_kwargs": true, "question": "What is the full name of the actor responsible for playing Callan in a British television series?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "Let $f_{1}(x)=\\sqrt{1-x}$, and for integers $n \\geq 2$, let \\[f_{n}(x)=f_{n-1}\\left(\\sqrt{n^2 - x}\\right).\\]Let $N$ be the largest value of $n$ for which the domain of $f_n$ is nonempty. For this value of $N,$ the domain of $f_N$ consists of a single point $\\{c\\}.$ Compute $c.$", "role": "user" } ]
math
{ "ground_truth": "-231", "style": "rule" }
{ "index": 96, "need_tools_kwargs": true, "question": "Let $f_{1}(x)=\\sqrt{1-x}$, and for integers $n \\geq 2$, let \\[f_{n}(x)=f_{n-1}\\left(\\sqrt{n^2 - x}\\right).\\]Let $N$ be the largest value of $n$ for which the domain of $f_n$ is nonempty. For this value of $N,$ the domain of $f_N$ consists of a single point $\\{c\\}.$ Compute $c.$", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "Which British actor and theatre director born in 1875 is the grandparent of Benedict Campbell?", "role": "user" } ]
qa
{ "ground_truth": "Sir Lewis Casson", "style": "rule" }
{ "index": 97, "need_tools_kwargs": true, "question": "Which British actor and theatre director born in 1875 is the grandparent of Benedict Campbell?", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "Consider the positive integers $A$, $B$, $A-B$, and $A+B$ are all prime numbers. Moreover, $A$ and $B$ are part of a set of four consecutive odd primes. Find the sum of these four primes and determine whether it is:\n\n$\\bullet$ A. even\n\n$\\bullet$ B. divisible by $3$\n\n$\\bullet$ C. divisible by $5$\n\n$\\bullet$ D. divisible by $9$\n\n$\\bullet$ E. prime\n\nExpress your answer using a letter, as A, B, C, D, or E.", "role": "user" } ]
math
{ "ground_truth": "17", "style": "rule" }
{ "index": 98, "need_tools_kwargs": true, "question": "Consider the positive integers $A$, $B$, $A-B$, and $A+B$ are all prime numbers. Moreover, $A$ and $B$ are part of a set of four consecutive odd primes. Find the sum of these four primes and determine whether it is:\n\n$\\bullet$ A. even\n\n$\\bullet$ B. divisible by $3$\n\n$\\bullet$ C. divisible by $5$\n\n$\\bullet$ D. divisible by $9$\n\n$\\bullet$ E. prime\n\nExpress your answer using a letter, as A, B, C, D, or E.", "split": "train" }
null
DR_grpo_mix
[ { "content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \boxed{} with latex format.", "role": "system" }, { "content": "In the land of Chaina, people pay each other in the form of links from chains. Fiona, originating from Chaina, has an open chain with $2018$ links. In order to pay for things, she decides to break up the chain by choosing a number of links and cutting them out one by one, each time creating $2$ or $3$ new chains. For example, if she cuts the $1111$ th link out of her chain first, then she will have $3$ chains, of lengths $1110$ , $1$ , and $907$ . What is the least number of links she needs to remove in order to be able to pay for anything costing from $1$ to $2018$ links using some combination of her chains? \n\n*2018 CCA Math Bonanza Individual Round #10*", "role": "user" } ]
math
{ "ground_truth": "10", "style": "rule" }
{ "index": 99, "need_tools_kwargs": true, "question": "In the land of Chaina, people pay each other in the form of links from chains. Fiona, originating from Chaina, has an open chain with $2018$ links. In order to pay for things, she decides to break up the chain by choosing a number of links and cutting them out one by one, each time creating $2$ or $3$ new chains. For example, if she cuts the $1111$ th link out of her chain first, then she will have $3$ chains, of lengths $1110$ , $1$ , and $907$ . What is the least number of links she needs to remove in order to be able to pay for anything costing from $1$ to $2018$ links using some combination of her chains? \n\n*2018 CCA Math Bonanza Individual Round #10*", "split": "train" }
null
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Agentic Reinforced Policy Optimization (ARPO) Dataset

This repository contains the datasets associated with the paper Agentic Reinforced Policy Optimization.

Abstract

Large-scale reinforcement learning with verifiable rewards (RLVR) has demonstrated its effectiveness in harnessing the potential of large language models (LLMs) for single-turn reasoning tasks. In realistic reasoning scenarios, LLMs can often utilize external tools to assist in task-solving processes. However, current RL algorithms inadequately balance the models' intrinsic long-horizon reasoning capabilities and their proficiency in multi-turn tool interactions. To bridge this gap, we propose Agentic Reinforced Policy Optimization (ARPO), a novel agentic RL algorithm tailored for training multi-turn LLM-based agents. Through preliminary experiments, we observe that LLMs tend to exhibit highly uncertain behavior, characterized by an increase in the entropy distribution of generated tokens, immediately following interactions with external tools. Motivated by this observation, ARPO incorporates an entropy-based adaptive rollout mechanism, dynamically balancing global trajectory sampling and step-level sampling, thereby promoting exploration at steps with high uncertainty after tool usage. By integrating an advantage attribution estimation, ARPO enables LLMs to internalize advantage differences in stepwise tool-use interactions. Our experiments across 13 challenging benchmarks in computational reasoning, knowledge reasoning, and deep search domains demonstrate ARPO's superiority over trajectory-level RL algorithms. Remarkably, ARPO achieves improved performance using only half of the tool-use budget required by existing methods, offering a scalable solution for aligning LLM-based agents with real-time dynamic environments. Our code and datasets are released at this https URL

Paper and Code

Dataset Description

This dataset is integral to the Agentic Reinforced Policy Optimization (ARPO) framework, supporting the training and evaluation of multi-turn LLM-based agents. It is designed to enhance LLMs' capabilities in long-horizon reasoning and proficiency in multi-turn tool interactions across various challenging domains.

Dataset Structure

The ARPO dataset is released as a collection of parquet files, categorized for different stages of training and evaluation:

  1. Reasoning and Knowledge Dataset:

    • train_10k.parquet: Contains 10,000 samples for mathematical and knowledge reasoning tasks.
    • test.parquet: Comprises 300 test samples from 8 datasets, including AIME24, AIME25, MATH500, GSM8k, HotpotQA, 2Wiki, Misque, and Bamboogle.
  2. Deep Search Dataset:

    • hard_search.parquet: Contains 1,000 samples, including 800 from simpledeepsearch and 200 from webdancer.
    • gaia_test.parquet/hle_test.parquet: Contains test samples from the GAIA and Humanity Last Exam (HLE) benchmarks.

These datasets facilitate cold-start Supervised Fine-Tuning (SFT) and subsequent Agentic Reinforced Policy Optimization (ARPO) training.

Sample Usage

You can download the various ARPO datasets directly from Hugging Face using git lfs:

git lfs install
git clone https://huggingface.co/datasets/dongguanting/ARPO-SFT-54K
git clone https://huggingface.co/datasets/dongguanting/ARPO-RL-Reasoning-10K
git clone https://huggingface.co/datasets/dongguanting/ARPO-RL-DeepSearch-1K

For detailed instructions on how to use these datasets for SFT, ARPO training, and evaluation, please refer to the official GitHub repository.

Citation

If you find this work helpful, please cite our paper:

@misc{dong2025arpo,
      title={Agentic Reinforced Policy Optimization}, 
      author={Guanting Dong and Hangyu Mao and Kai Ma and Licheng Bao and Yifei Chen and Zhongyuan Wang and Zhongxia Chen and Jiazhen Du and Huiyang Wang and Fuzheng Zhang and Guorui Zhou and Yutao Zhu and Ji-Rong Wen and Zhicheng Dou},
      year={2025},
      eprint={2507.19849},
      archivePrefix={arXiv},
      primaryClass={cs.LG},
      url={https://arxiv.org/abs/2507.19849}, 
}
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