data_source
stringclasses 1
value | prompt
listlengths 2
2
| ability
stringclasses 2
values | reward_model
dict | extra_info
dict | metadata
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 Rejah Sara and Fathabad-E Deh Nazeriyan located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 100,
"need_tools_kwargs": true,
"question": "Are Rejah Sara and Fathabad-E Deh Nazeriyan 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": "An urn initially contains two red balls and one blue ball. George performs the following operation five times: he draws a ball from the urn at random and then adds two balls of the same color from the supply before returning all balls to the urn. After the five operations, the urn contains thirteen balls. Determine the probability that the urn contains nine red balls and four blue balls after these operations.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{1920}{10395}",
"style": "rule"
}
|
{
"index": 101,
"need_tools_kwargs": true,
"question": "An urn initially contains two red balls and one blue ball. George performs the following operation five times: he draws a ball from the urn at random and then adds two balls of the same color from the supply before returning all balls to the urn. After the five operations, the urn contains thirteen balls. Determine the probability that the urn contains nine red balls and four blue balls after these operations.",
"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 Akalangalil?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "17 July 2014",
"style": "rule"
}
|
{
"index": 102,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film Akalangalil?",
"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 movies, Det Ender Med Bryllup and The Purple Taxi, from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 103,
"need_tools_kwargs": true,
"question": "Are both movies, Det Ender Med Bryllup and The Purple Taxi, 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 is the name of the ABC TV show in which Sinead Keenan's former costar appears?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Quantico",
"style": "rule"
}
|
{
"index": 104,
"need_tools_kwargs": true,
"question": "What is the name of the ABC TV show in which Sinead Keenan's former costar appears?",
"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 ball, sliding on a smooth horizontal surface, catches up with a block that was moving on the same surface. The speed of the ball is perpendicular to the face of the block it hits. The mass of the ball is much smaller than the mass of the block. After an elastic collision, the ball slides on the surface in the opposite direction with a speed that is 2 times less than its initial speed.\n\nFind the ratio of the velocities of the ball and the block before the collision.",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"index": 105,
"need_tools_kwargs": true,
"question": "A ball, sliding on a smooth horizontal surface, catches up with a block that was moving on the same surface. The speed of the ball is perpendicular to the face of the block it hits. The mass of the ball is much smaller than the mass of the block. After an elastic collision, the ball slides on the surface in the opposite direction with a speed that is 2 times less than its initial speed.\n\nFind the ratio of the velocities of the ball and the block before the collision.",
"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 plays adam on man with a plan",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Matt LeBlanc",
"style": "rule"
}
|
{
"index": 106,
"need_tools_kwargs": true,
"question": "who plays adam on man with a plan",
"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 Brides Are Like That?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "November 15, 1977",
"style": "rule"
}
|
{
"index": 107,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film Brides Are Like That?",
"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 movie did the \"Cool Down\" singer rise to prominence with?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Diary ng Panget: The Movie",
"style": "rule"
}
|
{
"index": 108,
"need_tools_kwargs": true,
"question": "What movie did the \"Cool Down\" singer rise to prominence with?",
"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 other name for this United States Army installation located in North Central Kansas, on the Kansas River in which James Jabara served as an aviation cadet?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "the Kaw",
"style": "rule"
}
|
{
"index": 109,
"need_tools_kwargs": true,
"question": "What is the other name for this United States Army installation located in North Central Kansas, on the Kansas River in which James Jabara served as an aviation cadet?",
"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 a digital clock, the date is always displayed as an eight-digit number, such as January 1, 2011, which is displayed as 20110101. What is the last date in 2011 that is divisible by 101? This date is represented as $\\overline{2011 \\mathrm{ABCD}}$. What is $\\overline{\\mathrm{ABCD}}$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1221",
"style": "rule"
}
|
{
"index": 110,
"need_tools_kwargs": true,
"question": "On a digital clock, the date is always displayed as an eight-digit number, such as January 1, 2011, which is displayed as 20110101. What is the last date in 2011 that is divisible by 101? This date is represented as $\\overline{2011 \\mathrm{ABCD}}$. What is $\\overline{\\mathrm{ABCD}}$?",
"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 The Wild North?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "7 January 1992",
"style": "rule"
}
|
{
"index": 111,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film The Wild North?",
"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 director of film Devi Dharisanam born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Malabar",
"style": "rule"
}
|
{
"index": 112,
"need_tools_kwargs": true,
"question": "Where was the director of film Devi Dharisanam 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": "The hamlet containing the hospital at which Richard Angelo murdered several patients had what population in the 2010 census?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "28,335",
"style": "rule"
}
|
{
"index": 113,
"need_tools_kwargs": true,
"question": "The hamlet containing the hospital at which Richard Angelo murdered several patients had what population in the 2010 census?",
"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": "Eight semicircles line the inside of a square with side length \\(2\\) as shown. What is the radius of the circle tangent to all of these semicircles? The original answer is in the form \\(\\frac{\\sqrt{k}-m}{n}\\), please give the value of k + m + n.",
"role": "user"
}
] |
math
|
{
"ground_truth": "8",
"style": "rule"
}
|
{
"index": 114,
"need_tools_kwargs": true,
"question": "Eight semicircles line the inside of a square with side length \\(2\\) as shown. What is the radius of the circle tangent to all of these semicircles? The original answer is in the form \\(\\frac{\\sqrt{k}-m}{n}\\), please give the value of k + 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": "What is the date of birth of Luke Bullen's wife?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "23 June 1975",
"style": "rule"
}
|
{
"index": 115,
"need_tools_kwargs": true,
"question": "What is the date of birth of Luke Bullen's wife?",
"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": "Claude Shannon, known as the father of information theory, proposed a famous formula: $C=W\\log _{2}(1+\\frac{S}{N})$. In the formula, $C$ represents the limit value of data rate in units of $bit/s$; $W$ represents the channel bandwidth in units of $Hz$; $\\frac{S}{N}$ represents the signal-to-noise ratio. The Shannon formula plays an important role in 5G technology. From the Shannon formula, it can be seen that to increase the transmission speed of information, it is crucial to increase the bandwidth ($W$) and the signal-to-noise ratio ($\\frac{S}{N}$). If the channel bandwidth is increased from $200Hz$ to $1000Hz$, and at the same time the signal-to-noise ratio $\\frac{S}{N}$ is increased from $255$ to $1023$, then the maximum data transmission speed becomes ____ times the original speed.",
"role": "user"
}
] |
math
|
{
"ground_truth": "6.25",
"style": "rule"
}
|
{
"index": 116,
"need_tools_kwargs": true,
"question": "Claude Shannon, known as the father of information theory, proposed a famous formula: $C=W\\log _{2}(1+\\frac{S}{N})$. In the formula, $C$ represents the limit value of data rate in units of $bit/s$; $W$ represents the channel bandwidth in units of $Hz$; $\\frac{S}{N}$ represents the signal-to-noise ratio. The Shannon formula plays an important role in 5G technology. From the Shannon formula, it can be seen that to increase the transmission speed of information, it is crucial to increase the bandwidth ($W$) and the signal-to-noise ratio ($\\frac{S}{N}$). If the channel bandwidth is increased from $200Hz$ to $1000Hz$, and at the same time the signal-to-noise ratio $\\frac{S}{N}$ is increased from $255$ to $1023$, then the maximum data transmission speed becomes ____ times the original speed.",
"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": "\nWrite the decomposition of the vector \\( x \\) in terms of the vectors \\( p, q, r \\):\n\n\\( x = \\{8, -7, -13\\} \\)\n\n\\( p = \\{0, 1, 5\\} \\)\n\n\\( q = \\{3, -1, 2\\} \\)\n\n\\( r = \\{-1, 0, 1\\} \\)",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\alpha = -4, \\beta = 3, \\gamma = 1",
"style": "rule"
}
|
{
"index": 117,
"need_tools_kwargs": true,
"question": "\nWrite the decomposition of the vector \\( x \\) in terms of the vectors \\( p, q, r \\):\n\n\\( x = \\{8, -7, -13\\} \\)\n\n\\( p = \\{0, 1, 5\\} \\)\n\n\\( q = \\{3, -1, 2\\} \\)\n\n\\( r = \\{-1, 0, 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": "Let $M$ be the maximum possible value of $x_1x_2 + x_2x_3 + \\cdots + x_5x_1$ where $x_1, x_2, \\dots, x_5$ is a permutation of $(1,2,3,4,6)$ and let $N$ be the number of permutations for which this maximum is attained. Evaluate $M + N$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "64",
"style": "rule"
}
|
{
"index": 118,
"need_tools_kwargs": true,
"question": "Let $M$ be the maximum possible value of $x_1x_2 + x_2x_3 + \\cdots + x_5x_1$ where $x_1, x_2, \\dots, x_5$ is a permutation of $(1,2,3,4,6)$ and let $N$ be the number of permutations for which this maximum is attained. Evaluate $M + N$.",
"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": "A high school's 11th-grade class 1 has 45 male students and 15 female students. The teacher uses stratified sampling to form a 4-person extracurricular interest group. Calculate the probability of a student being selected for this group and the number of male and female students in the extracurricular interest group. \nAfter a month of study and discussion, this interest group decides to select two students to conduct an experiment. The method is to first select one student from the group to conduct the experiment, and after that student has completed it, select another student from the remaining group members to conduct the experiment. Calculate the probability that among the two selected students, exactly one is a female student. \nAfter the experiment, the first student obtained experimental data of 68, 70, 71, 72, 74. The second student obtained experimental data of 69, 70, 70, 72, 74. Which student's experiment is more stable? And explain why.",
"role": "user"
}
] |
math
|
{
"ground_truth": "0.5",
"style": "rule"
}
|
{
"index": 119,
"need_tools_kwargs": true,
"question": "A high school's 11th-grade class 1 has 45 male students and 15 female students. The teacher uses stratified sampling to form a 4-person extracurricular interest group. Calculate the probability of a student being selected for this group and the number of male and female students in the extracurricular interest group. \nAfter a month of study and discussion, this interest group decides to select two students to conduct an experiment. The method is to first select one student from the group to conduct the experiment, and after that student has completed it, select another student from the remaining group members to conduct the experiment. Calculate the probability that among the two selected students, exactly one is a female student. \nAfter the experiment, the first student obtained experimental data of 68, 70, 71, 72, 74. The second student obtained experimental data of 69, 70, 70, 72, 74. Which student's experiment is more stable? And explain why.",
"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 American actor starred in Surrogates ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "James Oliver Cromwell",
"style": "rule"
}
|
{
"index": 120,
"need_tools_kwargs": true,
"question": "Which American actor starred in Surrogates ",
"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 longest professional tennis match lasted 11 hours and 5 minutes. How many minutes is this total?\n(A) 605\n(B) 655\n(C) 665\n(D) 1005\n(E) 1105",
"role": "user"
}
] |
math
|
{
"ground_truth": "665",
"style": "rule"
}
|
{
"index": 121,
"need_tools_kwargs": true,
"question": "The longest professional tennis match lasted 11 hours and 5 minutes. How many minutes is this total?\n(A) 605\n(B) 655\n(C) 665\n(D) 1005\n(E) 1105",
"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": "Among the first 2000 positive integers, determine how many are represented in hexadecimal using only numeric digits (0 to 9). Additionally, calculate the sum of the digits of this count.",
"role": "user"
}
] |
math
|
{
"ground_truth": "25",
"style": "rule"
}
|
{
"index": 122,
"need_tools_kwargs": true,
"question": "Among the first 2000 positive integers, determine how many are represented in hexadecimal using only numeric digits (0 to 9). Additionally, calculate the sum of the digits of this count.",
"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 regular triangular prism $A B C A_{1} B_{1} C_{1}$ has its side edge $A A_{1}$ perpendicular to the base $A B C$ and is twice as long as the height of the base. Determine the angle between the lines $A B_{1}$ and $B C_{1}$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "51.32^\\circ",
"style": "rule"
}
|
{
"index": 123,
"need_tools_kwargs": true,
"question": "The regular triangular prism $A B C A_{1} B_{1} C_{1}$ has its side edge $A A_{1}$ perpendicular to the base $A B C$ and is twice as long as the height of the base. Determine the angle between the lines $A B_{1}$ and $B C_{1}$.",
"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": "设 $x_{1}, x_{2}, x_{3}$ 是非负实数, 满足 $x_{1}+x_{2}+x_{3}=1$, 求 $\\left(x_{1}+3 x_{2}+5 x_{3}\\right)\\left(x_{1}+\\frac{x_{2}}{3}+\\frac{x_{3}}{5}\\right)$的最小值和最大值。已知最小值为整数，最大值为\\frac{m}{n}的格式，请给出m + n+最小值的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "15",
"style": "rule"
}
|
{
"index": 124,
"need_tools_kwargs": true,
"question": "设 $x_{1}, x_{2}, x_{3}$ 是非负实数, 满足 $x_{1}+x_{2}+x_{3}=1$, 求 $\\left(x_{1}+3 x_{2}+5 x_{3}\\right)\\left(x_{1}+\\frac{x_{2}}{3}+\\frac{x_{3}}{5}\\right)$的最小值和最大值。已知最小值为整数，最大值为\\frac{m}{n}的格式，请给出m + n+最小值的值。",
"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": "Where did the band produced by Romil Hemnani and Q3 originate?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "San Marcos, Texas",
"style": "rule"
}
|
{
"index": 125,
"need_tools_kwargs": true,
"question": "Where did the band produced by Romil Hemnani and Q3 originate?",
"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 equal parallel chords are drawn $8$ inches apart in a circle of radius $8$ inches. Find the area of that part of the circle that lies between the chords in the form of $k\\sqrt{3} + \\frac{m}{n}\\pi$, where $k$, $m$, and $n$ are integers, and $m/n$ is in simplest form. Please provide the value of $k + m + n$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "99",
"style": "rule"
}
|
{
"index": 126,
"need_tools_kwargs": true,
"question": "Two equal parallel chords are drawn $8$ inches apart in a circle of radius $8$ inches. Find the area of that part of the circle that lies between the chords in the form of $k\\sqrt{3} + \\frac{m}{n}\\pi$, where $k$, $m$, and $n$ are integers, and $m/n$ is in simplest form. Please provide the value of $k + m + n$.",
"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": "Who wrote the debut song on the debut album of the artist who also released the album \"I'm Still Here\"?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Billy Henderson and Steven Dale Jones",
"style": "rule"
}
|
{
"index": 127,
"need_tools_kwargs": true,
"question": "Who wrote the debut song on the debut album of the artist who also released the album \"I'm Still Here\"?",
"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 the set $A=\\{(x,y)|x^{2}=y+1,\\ |x| < 2,\\ x\\in\\mathbb{Z}\\}$, represent the set $A=$ ________ using the method of listing.",
"role": "user"
}
] |
math
|
{
"ground_truth": "A=\\{(-1,0),\\ (0,-1),\\ (1,0)\\}",
"style": "rule"
}
|
{
"index": 128,
"need_tools_kwargs": true,
"question": "Given the set $A=\\{(x,y)|x^{2}=y+1,\\ |x| < 2,\\ x\\in\\mathbb{Z}\\}$, represent the set $A=$ ________ using the method of listing.",
"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 have two 20-sided dice that each have 4 maroon sides, 7 teal sides, 8 cyan sides, and one sparkly side. If I roll both dice, what is the probability they come up the same?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\dfrac{13}{40}",
"style": "rule"
}
|
{
"index": 129,
"need_tools_kwargs": true,
"question": "I have two 20-sided dice that each have 4 maroon sides, 7 teal sides, 8 cyan sides, and one sparkly side. If I roll both dice, what is the probability they come up the same?",
"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": "Ikivo Animator integrates with a software application developed by which company?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Adobe Systems",
"style": "rule"
}
|
{
"index": 130,
"need_tools_kwargs": true,
"question": "Ikivo Animator integrates with a software application developed by which company?",
"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 person buys an article at Rs. 650. He sells the article at a price that gives him a certain profit. The selling price of the article is Rs. 715. What is the percentage of his profit?",
"role": "user"
}
] |
math
|
{
"ground_truth": "10\\%",
"style": "rule"
}
|
{
"index": 131,
"need_tools_kwargs": true,
"question": "A person buys an article at Rs. 650. He sells the article at a price that gives him a certain profit. The selling price of the article is Rs. 715. What is the percentage of his profit?",
"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 circles exist that are tangent to both circles defined by the equations \\((x-a)^{2}-(y-b)^{2}=4(a^{2}+b^{2})\\) and \\((x+a)^{2}+(y+b)^{2}=4(a^{2}+b^{2})\\), while also having a radius of \\(\\sqrt{a^{2}+b^{2}}\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "8",
"style": "rule"
}
|
{
"index": 132,
"need_tools_kwargs": true,
"question": "Determine how many circles exist that are tangent to both circles defined by the equations \\((x-a)^{2}-(y-b)^{2}=4(a^{2}+b^{2})\\) and \\((x+a)^{2}+(y+b)^{2}=4(a^{2}+b^{2})\\), while also having a radius of \\(\\sqrt{a^{2}+b^{2}}\\).",
"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 how many ways can I arrange 4 different math books and 6 different history books on my bookshelf if the requirement is that a math book must be at both ends and exactly two history books must be placed consecutively somewhere in the middle?",
"role": "user"
}
] |
math
|
{
"ground_truth": "518,\\!400",
"style": "rule"
}
|
{
"index": 133,
"need_tools_kwargs": true,
"question": "In how many ways can I arrange 4 different math books and 6 different history books on my bookshelf if the requirement is that a math book must be at both ends and exactly two history books must be placed consecutively somewhere in the middle?",
"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 $n$ is a positive integer, determine $f(n)$ as the sum of the digits of $\\frac{1}{25^n}$. Find the smallest positive integer $n$ such that $f(n) > 20$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "7",
"style": "rule"
}
|
{
"index": 134,
"need_tools_kwargs": true,
"question": "If $n$ is a positive integer, determine $f(n)$ as the sum of the digits of $\\frac{1}{25^n}$. Find the smallest positive integer $n$ such that $f(n) > 20$.",
"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 is a special class of natural numbers where, starting from the third digit from the left, each digit is the sum of the two preceding digits. For example, in the number 21347, each digit from the third onwards follows this rule. Within this class of natural numbers, what is the largest odd number? $\\qquad$ .",
"role": "user"
}
] |
math
|
{
"ground_truth": "1011235",
"style": "rule"
}
|
{
"index": 135,
"need_tools_kwargs": true,
"question": "There is a special class of natural numbers where, starting from the third digit from the left, each digit is the sum of the two preceding digits. For example, in the number 21347, each digit from the third onwards follows this rule. Within this class of natural numbers, what is the largest odd number? $\\qquad$ .",
"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": "设 f(x)=mx^2+(2n+1)x-m-2 (m,n\\in\\bR,m\\neq0) 在 [3,4] 上至少有一个零点，则 m^2+n^2 的最小值是__________.原始的答案是\\frac{m}{n}的形式，其中m、n是互质的。请给出最终m + n的值",
"role": "user"
}
] |
math
|
{
"ground_truth": "101",
"style": "rule"
}
|
{
"index": 136,
"need_tools_kwargs": true,
"question": "设 f(x)=mx^2+(2n+1)x-m-2 (m,n\\in\\bR,m\\neq0) 在 [3,4] 上至少有一个零点，则 m^2+n^2 的最小值是__________.原始的答案是\\frac{m}{n}的形式，其中m、n是互质的。请给出最终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": "How many doors was the hatchback introduced in late 2000 by BMW in the former Morris plant?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "three-door",
"style": "rule"
}
|
{
"index": 137,
"need_tools_kwargs": true,
"question": "How many doors was the hatchback introduced in late 2000 by BMW in the former Morris plant?",
"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": "Gail Buckner was a candidate for Secretary of State of Georgia in 2006, but lost to a woman who was the first Republican woman to be elected to the US Congress from Georgia, after defeating who?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Jon Ossoff",
"style": "rule"
}
|
{
"index": 138,
"need_tools_kwargs": true,
"question": "Gail Buckner was a candidate for Secretary of State of Georgia in 2006, but lost to a woman who was the first Republican woman to be elected to the US Congress from Georgia, after defeating 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": "In a triangle formed by nine circles, five of the circles contain the numbers 1, 2, 3, 4, and 5. The remaining four circles are labeled \\(A, B, C, D\\) and need to be filled with the numbers 6, 7, 8, and 9. Your task is to assign these numbers to the circles \\(A, B, C, D\\) such that the sums of the numbers along each side of the triangle are equal. Describe how you would assign the numbers to the circles and ensure that the sums are identical along each side.",
"role": "user"
}
] |
math
|
{
"ground_truth": "8",
"style": "rule"
}
|
{
"index": 139,
"need_tools_kwargs": true,
"question": "In a triangle formed by nine circles, five of the circles contain the numbers 1, 2, 3, 4, and 5. The remaining four circles are labeled \\(A, B, C, D\\) and need to be filled with the numbers 6, 7, 8, and 9. Your task is to assign these numbers to the circles \\(A, B, C, D\\) such that the sums of the numbers along each side of the triangle are equal. Describe how you would assign the numbers to the circles and ensure that the sums are identical along each side.",
"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": "John McNeil Jr.,was an officer in the United States Army, after retiring McNeil lived at the Franklin Pierce Homestead, a historic house museum and state park located in Hillsborough, New Hampshire, it was the childhood home of which numbered President of the United States?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "fourteenth",
"style": "rule"
}
|
{
"index": 140,
"need_tools_kwargs": true,
"question": "John McNeil Jr.,was an officer in the United States Army, after retiring McNeil lived at the Franklin Pierce Homestead, a historic house museum and state park located in Hillsborough, New Hampshire, it was the childhood home of which numbered President of the United States?",
"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 complex number $z$ satisfies $i(z+1)=-1+2i$ (where $i$ is the imaginary unit), then $\\overline{z}=$\n\nA: $1-i$\n\nB: $1+i$\n\nC: $-3-i$\n\nD: $-3+i$",
"role": "user"
}
] |
math
|
{
"ground_truth": "A: 1-i",
"style": "rule"
}
|
{
"index": 141,
"need_tools_kwargs": true,
"question": "Given a complex number $z$ satisfies $i(z+1)=-1+2i$ (where $i$ is the imaginary unit), then $\\overline{z}=$\n\nA: $1-i$\n\nB: $1+i$\n\nC: $-3-i$\n\nD: $-3+i$",
"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 school loacted in Lawrence Township, New Jersey attended by Lewis Perry?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Lawrenceville School",
"style": "rule"
}
|
{
"index": 142,
"need_tools_kwargs": true,
"question": "What was the school loacted in Lawrence Township, New Jersey attended by Lewis Perry?",
"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 standard deck of 52 cards is divided into 4 suits, with each suit containing 13 cards. Two of these suits are red, and the other two are black. The deck is shuffled, placing the cards in random order. What is the probability that the first three cards drawn from the deck are all the same color?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{40}{85}",
"style": "rule"
}
|
{
"index": 143,
"need_tools_kwargs": true,
"question": "A standard deck of 52 cards is divided into 4 suits, with each suit containing 13 cards. Two of these suits are red, and the other two are black. The deck is shuffled, placing the cards in random order. What is the probability that the first three cards drawn from the deck are all the same color?",
"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 vegetation does Stenomesson and Homalocladium have in common?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "plant",
"style": "rule"
}
|
{
"index": 144,
"need_tools_kwargs": true,
"question": "What type of vegetation does Stenomesson and Homalocladium 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": "In triangle $ABC$, $AB = 13$, $AC = 15$, and $BC = 14$. Let $I$ be the incenter. The incircle of triangle $ABC$ touches sides $BC$, $AC$, and $AB$ at $D$, $E$, and $F$, respectively. Find the length of $BI$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2 \\sqrt{13}",
"style": "rule"
}
|
{
"index": 145,
"need_tools_kwargs": true,
"question": "In triangle $ABC$, $AB = 13$, $AC = 15$, and $BC = 14$. Let $I$ be the incenter. The incircle of triangle $ABC$ touches sides $BC$, $AC$, and $AB$ at $D$, $E$, and $F$, respectively. Find the length of $BI$.",
"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 Paralympic wheelchair racer coached by Andrew Dawes won silver and bronze at 2016 Rio Paralympics?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Kurt Fearnley",
"style": "rule"
}
|
{
"index": 146,
"need_tools_kwargs": true,
"question": "What Paralympic wheelchair racer coached by Andrew Dawes won silver and bronze at 2016 Rio Paralympics?",
"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 company later acquired one of the magazines Tully Jensen was featured in?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Condé Nast Publications",
"style": "rule"
}
|
{
"index": 147,
"need_tools_kwargs": true,
"question": "What company later acquired one of the magazines Tully Jensen was featured 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": "Find the distance from the point \\((2, 4, 5)\\) to the line described by\n\\[\n\\begin{pmatrix} 4 \\\\ 5 \\\\ 6 \\end{pmatrix} + s \\begin{pmatrix} 4 \\\\ 3 \\\\ -1 \\end{pmatrix}.\n\\]",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{\\sqrt{649}}{13}",
"style": "rule"
}
|
{
"index": 148,
"need_tools_kwargs": true,
"question": "Find the distance from the point \\((2, 4, 5)\\) to the line described by\n\\[\n\\begin{pmatrix} 4 \\\\ 5 \\\\ 6 \\end{pmatrix} + s \\begin{pmatrix} 4 \\\\ 3 \\\\ -1 \\end{pmatrix}.\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": "The sum of the first n terms of the sequence $\\{a_n\\}$ is $S_n$. If the terms of the sequence $\\{a_n\\}$ are arranged according to the following pattern: $\\frac{1}{2}$, $\\frac{1}{3}$, $\\frac{2}{3}$, $\\frac{1}{4}$, $\\frac{2}{4}$, $\\frac{3}{4}$, $\\frac{1}{5}$, $\\frac{2}{5}$, $\\frac{3}{5}$, $\\frac{4}{5}$…, $\\frac{1}{n}$, $\\frac{2}{n}$,…, $\\frac{n-1}{n}$,…, the following operations and conclusions are obtained: \n① $a_{24} = \\frac{3}{8}$; \n② The sequence $a_1$, $a_2+a_3$, $a_4+a_5+a_6$, $a_7+a_8+a_9+a_{10}$,… is a geometric sequence; \n③ The sum of the first n terms of the sequence $a_1$, $a_2+a_3$, $a_4+a_5+a_6$, $a_7+a_8+a_9+a_{10}$,… is $T_n = \\frac{n^2+n}{4}$; \n④ If there exists a positive integer k such that $S_k < 10$, $S_{k+1} \\geq 10$, then $a_k = \\frac{5}{7}$. \nAmong these conclusions, the correct ones are \\_\\_\\_\\_\\_\\_. (Fill in the numbers of all correct conclusions)",
"role": "user"
}
] |
math
|
{
"ground_truth": "①③④",
"style": "rule"
}
|
{
"index": 149,
"need_tools_kwargs": true,
"question": "The sum of the first n terms of the sequence $\\{a_n\\}$ is $S_n$. If the terms of the sequence $\\{a_n\\}$ are arranged according to the following pattern: $\\frac{1}{2}$, $\\frac{1}{3}$, $\\frac{2}{3}$, $\\frac{1}{4}$, $\\frac{2}{4}$, $\\frac{3}{4}$, $\\frac{1}{5}$, $\\frac{2}{5}$, $\\frac{3}{5}$, $\\frac{4}{5}$…, $\\frac{1}{n}$, $\\frac{2}{n}$,…, $\\frac{n-1}{n}$,…, the following operations and conclusions are obtained: \n① $a_{24} = \\frac{3}{8}$; \n② The sequence $a_1$, $a_2+a_3$, $a_4+a_5+a_6$, $a_7+a_8+a_9+a_{10}$,… is a geometric sequence; \n③ The sum of the first n terms of the sequence $a_1$, $a_2+a_3$, $a_4+a_5+a_6$, $a_7+a_8+a_9+a_{10}$,… is $T_n = \\frac{n^2+n}{4}$; \n④ If there exists a positive integer k such that $S_k < 10$, $S_{k+1} \\geq 10$, then $a_k = \\frac{5}{7}$. \nAmong these conclusions, the correct ones are \\_\\_\\_\\_\\_\\_. (Fill in the numbers of all correct conclusions)",
"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": "At a tennis tournament there were $2n$ boys and $n$ girls participating. Every player played every other player. The boys won $\\frac{7}{5}$ times as many matches as the girls. It is known that there were no draws. Find the smallest positive integer value of $n$ that satisfies the given condition.",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 150,
"need_tools_kwargs": true,
"question": "At a tennis tournament there were $2n$ boys and $n$ girls participating. Every player played every other player. The boys won $\\frac{7}{5}$ times as many matches as the girls. It is known that there were no draws. Find the smallest positive integer value of $n$ that satisfies the given condition.",
"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 artist that recorded the song \"Blue Love (In My Heart)\" had how many singles that reached the Top 10 of the\"Billboard\" Country & Western Best Sellers chart? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "35",
"style": "rule"
}
|
{
"index": 151,
"need_tools_kwargs": true,
"question": "The artist that recorded the song \"Blue Love (In My Heart)\" had how many singles that reached the Top 10 of the\"Billboard\" Country & Western Best Sellers chart? ",
"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": "Were both Carlos Bernier and Andrew Lippa, born in the same place?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 152,
"need_tools_kwargs": true,
"question": "Were both Carlos Bernier and Andrew Lippa, born in the same place?",
"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 sum of all real solutions to the equation \\[\\sqrt{x} + \\sqrt{\\frac{9}{x}} + \\sqrt{x + \\frac{9}{x}} = 7.\\]",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{961}{196}",
"style": "rule"
}
|
{
"index": 153,
"need_tools_kwargs": true,
"question": "Find the sum of all real solutions to the equation \\[\\sqrt{x} + \\sqrt{\\frac{9}{x}} + \\sqrt{x + \\frac{9}{x}} = 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": "In the circle below, $\\overline{AB} \\| \\overline{CD}$. $\\overline{AD}$ is a diameter of the circle, and $AD = 36^{\\prime \\prime}$. What is the number of inches in the length of $\\widehat{AB}$? Express your answer in the form of $k\\pi$, and find the value of $k$. [asy]\nimport markers;\nimport olympiad; size(150); import geometry; import graph; defaultpen(linewidth(0.8));\ndraw(Circle(origin,36));\npair A = 36*dir(130);\npair B = 36*dir(50);\npair D = 36*dir(-50);\npair C = 36*dir(-130);\ndraw(B--A--D--C);\nlabel(\"$A$\",A,W); label(\"$B$\",B,E); label(\"$C$\",C,W); label(\"$D$\",D,E);\nmarkangle(\"$50^{\\circ}$\",D,A,B,radius=10);\n[/asy]",
"role": "user"
}
] |
math
|
{
"ground_truth": "8",
"style": "rule"
}
|
{
"index": 154,
"need_tools_kwargs": true,
"question": "In the circle below, $\\overline{AB} \\| \\overline{CD}$. $\\overline{AD}$ is a diameter of the circle, and $AD = 36^{\\prime \\prime}$. What is the number of inches in the length of $\\widehat{AB}$? Express your answer in the form of $k\\pi$, and find the value of $k$. [asy]\nimport markers;\nimport olympiad; size(150); import geometry; import graph; defaultpen(linewidth(0.8));\ndraw(Circle(origin,36));\npair A = 36*dir(130);\npair B = 36*dir(50);\npair D = 36*dir(-50);\npair C = 36*dir(-130);\ndraw(B--A--D--C);\nlabel(\"$A$\",A,W); label(\"$B$\",B,E); label(\"$C$\",C,W); label(\"$D$\",D,E);\nmarkangle(\"$50^{\\circ}$\",D,A,B,radius=10);\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": "The proposition \"The derivative of the function $y=f(x)$ is $f'(x)=e^x+\\frac{k^2}{e^x}-\\frac{1}{k}$ (where e is the base of natural logarithms, and k is a real number), and $f(x)$ is not monotonic on $\\mathbb{R}$\" is a true statement, then the range of the real number k is ( )\nA: $(-\\infty, -\\frac{\\sqrt{2}}{2})$\nB: $(-\\frac{\\sqrt{2}}{2}, 0)$\nC: $(0, \\frac{\\sqrt{2}}{2})$\nD: $(\\frac{\\sqrt{2}}{2}, +\\infty)$",
"role": "user"
}
] |
math
|
{
"ground_truth": "C: (0, \\frac{\\sqrt{2}}{2})",
"style": "rule"
}
|
{
"index": 155,
"need_tools_kwargs": true,
"question": "The proposition \"The derivative of the function $y=f(x)$ is $f'(x)=e^x+\\frac{k^2}{e^x}-\\frac{1}{k}$ (where e is the base of natural logarithms, and k is a real number), and $f(x)$ is not monotonic on $\\mathbb{R}$\" is a true statement, then the range of the real number k is ( )\nA: $(-\\infty, -\\frac{\\sqrt{2}}{2})$\nB: $(-\\frac{\\sqrt{2}}{2}, 0)$\nC: $(0, \\frac{\\sqrt{2}}{2})$\nD: $(\\frac{\\sqrt{2}}{2}, +\\infty)$",
"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 evaluated, the sum of the digits of the integer equal to \\(10^{2021} - 2021\\) is:\n(A) 18194\n(B) 18176\n(C) 18167\n(D) 18153\n(E) 18185",
"role": "user"
}
] |
math
|
{
"ground_truth": "18185",
"style": "rule"
}
|
{
"index": 156,
"need_tools_kwargs": true,
"question": "When evaluated, the sum of the digits of the integer equal to \\(10^{2021} - 2021\\) is:\n(A) 18194\n(B) 18176\n(C) 18167\n(D) 18153\n(E) 18185",
"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 the function \\( f: \\mathbf{R} \\rightarrow \\mathbf{R} \\) satisfy \\( f(0)=1 \\) and for any \\( x, y \\in \\mathbf{R} \\), it holds that \\( f(xy+1) = f(x) f(y) - f(y) - x + 2 \\). Determine the function \\( f(x) = \\quad .\\)",
"role": "user"
}
] |
math
|
{
"ground_truth": "f(x) = x + 1",
"style": "rule"
}
|
{
"index": 157,
"need_tools_kwargs": true,
"question": "Let the function \\( f: \\mathbf{R} \\rightarrow \\mathbf{R} \\) satisfy \\( f(0)=1 \\) and for any \\( x, y \\in \\mathbf{R} \\), it holds that \\( f(xy+1) = f(x) f(y) - f(y) - x + 2 \\). Determine the function \\( f(x) = \\quad .\\)",
"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 digit in the ten-thousandths place of the decimal equivalent of $\\frac{5}{32}$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
|
{
"index": 158,
"need_tools_kwargs": true,
"question": "What is the digit in the ten-thousandths place of the decimal equivalent of $\\frac{5}{32}$?",
"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 the company KW is being sold, both company A and company B are considering the purchase. At the beginning of the year, the price of company KW is 90% more than what company A has in assets, and the same price is also 100% more than what company B has in assets. However, over the course of the year, company A's assets increase by 20% while company B's assets decrease by 10%. If companies A and B were to merge and combine their adjusted assets at the end of the year, the price of company KW at the start of the year would be approximately what percent of these combined assets at the end of the year?",
"role": "user"
}
] |
math
|
{
"ground_truth": "92.46\\%",
"style": "rule"
}
|
{
"index": 159,
"need_tools_kwargs": true,
"question": "If the company KW is being sold, both company A and company B are considering the purchase. At the beginning of the year, the price of company KW is 90% more than what company A has in assets, and the same price is also 100% more than what company B has in assets. However, over the course of the year, company A's assets increase by 20% while company B's assets decrease by 10%. If companies A and B were to merge and combine their adjusted assets at the end of the year, the price of company KW at the start of the year would be approximately what percent of these combined assets at the end of the 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": "Given distinct natural numbers \\(a, b, c, d\\) that satisfy the following conditions: \\(a > d\\), \\(ab = cd\\), and \\(a + b + c + d = ac\\). Find the sum of all four numbers.",
"role": "user"
}
] |
math
|
{
"ground_truth": "12",
"style": "rule"
}
|
{
"index": 160,
"need_tools_kwargs": true,
"question": "Given distinct natural numbers \\(a, b, c, d\\) that satisfy the following conditions: \\(a > d\\), \\(ab = cd\\), and \\(a + b + c + d = ac\\). Find the sum of all four numbers.",
"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 country in the South Caucasus region, situated at the crossroads of Southwest Asia and Southeastern Europe bound by to the east, which is the country of a olk musician and tar-player ?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Caspian Sea",
"style": "rule"
}
|
{
"index": 161,
"need_tools_kwargs": true,
"question": "What is the country in the South Caucasus region, situated at the crossroads of Southwest Asia and Southeastern Europe bound by to the east, which is the country of a olk musician and tar-player ?",
"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 numbers \\(a, b, c\\) satisfy the equations\n\n\\[\na b + a + b = c, \\quad b c + b + c = a, \\quad c a + c + a = b\n\\]\n\nFind all possible values of \\(a\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "0, -2, -1",
"style": "rule"
}
|
{
"index": 162,
"need_tools_kwargs": true,
"question": "The numbers \\(a, b, c\\) satisfy the equations\n\n\\[\na b + a + b = c, \\quad b c + b + c = a, \\quad c a + c + a = b\n\\]\n\nFind all possible values of \\(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": "U.S. Bank Stadium opened in time for what season of the Vikings in the NFL?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "56th",
"style": "rule"
}
|
{
"index": 163,
"need_tools_kwargs": true,
"question": "U.S. Bank Stadium opened in time for what season of the Vikings in the NFL?",
"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 eastern terminus of New York State Route 67 is in a town with what population as of the 2010 census?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "6,924",
"style": "rule"
}
|
{
"index": 164,
"need_tools_kwargs": true,
"question": "The eastern terminus of New York State Route 67 is in a town with what population as of the 2010 census?",
"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 older, Michèle Mcquigg or Yelena Samarina?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Yelena Samarina",
"style": "rule"
}
|
{
"index": 165,
"need_tools_kwargs": true,
"question": "Who is older, Michèle Mcquigg or Yelena Samarina?",
"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 Bronze is a 2015 American sports comedy-drama film starring an American actress known as a cast member of what show?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Saturday Night Live",
"style": "rule"
}
|
{
"index": 166,
"need_tools_kwargs": true,
"question": "The Bronze is a 2015 American sports comedy-drama film starring an American actress known as a cast member of what show?",
"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 five baskets A, B, C, D, and E, there are apples of five different varieties. Each of the baskets A and B contains apples of the 3rd and 4th varieties, basket C contains apples of the 2nd and 3rd varieties, basket D contains apples of the 4th and 5th varieties, and basket E contains apples of the 1st and 5th varieties. Number the baskets such that basket number 1 has apples of the 1st variety (at least one), basket number 2 has apples of the 2nd variety, and so on.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\{ 'A': 3, 'B': 4, 'C': 2, 'D': 5, 'E': 1 \\}",
"style": "rule"
}
|
{
"index": 167,
"need_tools_kwargs": true,
"question": "In five baskets A, B, C, D, and E, there are apples of five different varieties. Each of the baskets A and B contains apples of the 3rd and 4th varieties, basket C contains apples of the 2nd and 3rd varieties, basket D contains apples of the 4th and 5th varieties, and basket E contains apples of the 1st and 5th varieties. Number the baskets such that basket number 1 has apples of the 1st variety (at least one), basket number 2 has apples of the 2nd variety, and so on.",
"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 cube $A B C D A_1 B_1 C_1 D_1$ with bases $A B C D$ and $A_1 B_1 C_1 D_1$. Point $M$ is the midpoint of edge $A B$, and $K$ is the midpoint of edge $C D$. Find the radius of the sphere passing through points $M, K, A_1, C_1$, if the edge length of the cube is $\\sqrt{41}$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{11}{8}",
"style": "rule"
}
|
{
"index": 168,
"need_tools_kwargs": true,
"question": "Given a cube $A B C D A_1 B_1 C_1 D_1$ with bases $A B C D$ and $A_1 B_1 C_1 D_1$. Point $M$ is the midpoint of edge $A B$, and $K$ is the midpoint of edge $C D$. Find the radius of the sphere passing through points $M, K, A_1, C_1$, if the edge length of the cube is $\\sqrt{41}$.",
"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 name was the director of Batman XXX: A Porn Parody given at birth?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Alessandro Re",
"style": "rule"
}
|
{
"index": 169,
"need_tools_kwargs": true,
"question": "What name was the director of Batman XXX: A Porn Parody given at birth?",
"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 non-empty subsets $S$ of $\\{1,2,3,\\ldots ,15\\}$ have the following two properties?\n$(1)$ No two consecutive integers belong to $S$.\n$(2)$ If $S$ contains $k$ elements, then $S$ contains no number less than $k$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "405",
"style": "rule"
}
|
{
"index": 170,
"need_tools_kwargs": true,
"question": "How many non-empty subsets $S$ of $\\{1,2,3,\\ldots ,15\\}$ have the following two properties?\n$(1)$ No two consecutive integers belong to $S$.\n$(2)$ If $S$ contains $k$ elements, then $S$ contains no number less than $k$.",
"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": "World News Tonight included which neo-conservative founder of The Weekly Standard?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "William \"Bill\" Kristol",
"style": "rule"
}
|
{
"index": 171,
"need_tools_kwargs": true,
"question": "World News Tonight included which neo-conservative founder of The Weekly Standard?",
"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 director of film The Shamrock And The Rose?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "North Bay",
"style": "rule"
}
|
{
"index": 172,
"need_tools_kwargs": true,
"question": "Where was the place of death of the director of film The Shamrock And The Rose?",
"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 $16^{7/4}$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "128.0",
"style": "rule"
}
|
{
"index": 173,
"need_tools_kwargs": true,
"question": "Evaluate $16^{7/4}$.",
"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": "Lucky Larry's teacher asked him to substitute numbers for \\(a\\), \\(b\\), \\(c\\), \\(d\\), and \\(e\\) in the expression \\(a - (b - (c - (d + e)))\\) and evaluate the result. Larry ignored the parentheses but added and subtracted correctly and obtained the correct result by coincidence. This time, the numbers Larry substituted for \\(a\\), \\(b\\), \\(c\\), and \\(d\\) were \\(2\\), \\(3\\), \\(4\\), and \\(5\\), respectively. Determine the value of \\(e\\) such that when multiplied by \\(2\\), it equals the number Larry substituted for \\(e\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 174,
"need_tools_kwargs": true,
"question": "Lucky Larry's teacher asked him to substitute numbers for \\(a\\), \\(b\\), \\(c\\), \\(d\\), and \\(e\\) in the expression \\(a - (b - (c - (d + e)))\\) and evaluate the result. Larry ignored the parentheses but added and subtracted correctly and obtained the correct result by coincidence. This time, the numbers Larry substituted for \\(a\\), \\(b\\), \\(c\\), and \\(d\\) were \\(2\\), \\(3\\), \\(4\\), and \\(5\\), respectively. Determine the value of \\(e\\) such that when multiplied by \\(2\\), it equals the number Larry substituted for \\(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": "Let \\( a_5 = 5 \\), and for each positive integer \\( n > 5 \\), let \\( a_n = 50a_{n-1} + n^2 \\). Find the least positive \\( n > 5 \\) such that \\( a_n \\) is a multiple of 101.",
"role": "user"
}
] |
math
|
{
"ground_truth": "9",
"style": "rule"
}
|
{
"index": 175,
"need_tools_kwargs": true,
"question": "Let \\( a_5 = 5 \\), and for each positive integer \\( n > 5 \\), let \\( a_n = 50a_{n-1} + n^2 \\). Find the least positive \\( n > 5 \\) such that \\( a_n \\) is a multiple of 101.",
"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 John Hughes' movie features Aleksander Krupa?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Home Alone 3",
"style": "rule"
}
|
{
"index": 176,
"need_tools_kwargs": true,
"question": "Which John Hughes' movie features Aleksander Krupa?",
"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 $\\alpha, \\beta \\in \\left(\\frac{\\pi}{2}, \\pi\\right)$, and $\\tan \\alpha < \\cot \\beta$. Then which of the following must be true?\nA. $\\alpha < \\beta$\nB. $\\beta < \\alpha$\nC. $\\alpha + \\beta > \\frac{3}{2} \\pi$\nD. $\\alpha + \\beta < \\frac{3}{2} \\pi$",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\alpha + \\beta < \\frac{3}{2} \\pi",
"style": "rule"
}
|
{
"index": 177,
"need_tools_kwargs": true,
"question": "Let $\\alpha, \\beta \\in \\left(\\frac{\\pi}{2}, \\pi\\right)$, and $\\tan \\alpha < \\cot \\beta$. Then which of the following must be true?\nA. $\\alpha < \\beta$\nB. $\\beta < \\alpha$\nC. $\\alpha + \\beta > \\frac{3}{2} \\pi$\nD. $\\alpha + \\beta < \\frac{3}{2} \\pi$",
"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 cowboy is initially 6 miles south and 2 miles west of a stream that flows due northeast. His cabin is located 12 miles east and 9 miles south of his initial position. He wants to water his horse at the stream and then return to his cabin. What is the shortest distance he can travel to accomplish this?\nA) $\\sqrt{289} + 8$\nB) $16 + \\sqrt{185}$\nC) $8 + \\sqrt{545}$\nD) $12 + \\sqrt{400}$\nE) $10 + \\sqrt{365}$",
"role": "user"
}
] |
math
|
{
"ground_truth": "8 + \\sqrt{545}",
"style": "rule"
}
|
{
"index": 178,
"need_tools_kwargs": true,
"question": "A cowboy is initially 6 miles south and 2 miles west of a stream that flows due northeast. His cabin is located 12 miles east and 9 miles south of his initial position. He wants to water his horse at the stream and then return to his cabin. What is the shortest distance he can travel to accomplish this?\nA) $\\sqrt{289} + 8$\nB) $16 + \\sqrt{185}$\nC) $8 + \\sqrt{545}$\nD) $12 + \\sqrt{400}$\nE) $10 + \\sqrt{365}$",
"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 Rhodes Of Africa?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "24 September 1953",
"style": "rule"
}
|
{
"index": 179,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film Rhodes Of Africa?",
"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 the quadratic equation \\( g(x) = ax^2 + bx + d \\) with \\( a > 0 \\), where \\( d = \\frac{(b+1)^2}{4a} \\), determine the nature of the graph of \\( y = g(x) \\):\nA. have a maximum\nB. have a minimum\nC. be tangent to the x-axis\nD. be tangent to the y-axis\nE. have no real roots",
"role": "user"
}
] |
math
|
{
"ground_truth": "C. be tangent to the x-axis",
"style": "rule"
}
|
{
"index": 180,
"need_tools_kwargs": true,
"question": "Given the quadratic equation \\( g(x) = ax^2 + bx + d \\) with \\( a > 0 \\), where \\( d = \\frac{(b+1)^2}{4a} \\), determine the nature of the graph of \\( y = g(x) \\):\nA. have a maximum\nB. have a minimum\nC. be tangent to the x-axis\nD. be tangent to the y-axis\nE. have no real roots",
"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": "Jean Vander Pyl provided the voice of Rosie on the Hanna-Barbera animated sitcom that originally premiered on which date?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "September 23, 1962",
"style": "rule"
}
|
{
"index": 181,
"need_tools_kwargs": true,
"question": "Jean Vander Pyl provided the voice of Rosie on the Hanna-Barbera animated sitcom that originally premiered on which date?",
"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 convicted in the FBI sting operation which ideotaped politicians accepting bribes from a fraudulent Arabian company in return for various political favors?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Richard Kelly",
"style": "rule"
}
|
{
"index": 182,
"need_tools_kwargs": true,
"question": "Who was convicted in the FBI sting operation which ideotaped politicians accepting bribes from a fraudulent Arabian company in return for various political favors?",
"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": "Six persons \\(A, B, C, D, E\\), and \\(F\\) are rotating for night shifts in alphabetical order, starting with \\(A\\) on the first Sunday, \\(B\\) on the first Monday, and so on. If this rotation continues for 50 weeks, determine which day of the week \\(A\\) serves on during the fiftieth week. Represent Sunday by 0, Monday by 1, ..., Saturday by 6 in your answer.",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
|
{
"index": 183,
"need_tools_kwargs": true,
"question": "Six persons \\(A, B, C, D, E\\), and \\(F\\) are rotating for night shifts in alphabetical order, starting with \\(A\\) on the first Sunday, \\(B\\) on the first Monday, and so on. If this rotation continues for 50 weeks, determine which day of the week \\(A\\) serves on during the fiftieth week. Represent Sunday by 0, Monday by 1, ..., Saturday by 6 in your 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 name of this American actor, film director, film producer, and film distributor, who starred in Rocky V with his real life dad?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Sage Moonblood Stallone",
"style": "rule"
}
|
{
"index": 184,
"need_tools_kwargs": true,
"question": "What is the name of this American actor, film director, film producer, and film distributor, who starred in Rocky V with his real life dad?",
"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 college university had a film shot on location that featured Richard C Franklin working on sound editing?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Loyola University",
"style": "rule"
}
|
{
"index": 185,
"need_tools_kwargs": true,
"question": "Which college university had a film shot on location that featured Richard C Franklin working on sound editing?",
"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": "Establish that the equation \\(\\rho=36 /(4-5 \\cos \\varphi)\\) defines a hyperbola, and find its semi-axes.",
"role": "user"
}
] |
math
|
{
"ground_truth": "12",
"style": "rule"
}
|
{
"index": 186,
"need_tools_kwargs": true,
"question": "Establish that the equation \\(\\rho=36 /(4-5 \\cos \\varphi)\\) defines a hyperbola, and find its semi-axes.",
"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 directors of films The Anderson Tapes and That'S No Way To Land A Man from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 187,
"need_tools_kwargs": true,
"question": "Are both directors of films The Anderson Tapes and That'S No Way To Land A Man 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": "The producer of Leviathan was a member of what?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "The Academy of Motion Picture Arts and Sciences",
"style": "rule"
}
|
{
"index": 188,
"need_tools_kwargs": true,
"question": "The producer of Leviathan was a member 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": "Let $x, y, z$ be positive real numbers, less than $\\pi$, such that:\n\\[\n\\cos x + \\cos y + \\cos z = 0 \\\\\n\\cos 2x + \\cos 2y + \\cos 2z = 0 \\\\\n\\cos 3x + \\cos 3y + \\cos 3z = 0\n\\]\nFind all the values that $\\sin x + \\sin y + \\sin z$ can take.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 189,
"need_tools_kwargs": true,
"question": "Let $x, y, z$ be positive real numbers, less than $\\pi$, such that:\n\\[\n\\cos x + \\cos y + \\cos z = 0 \\\\\n\\cos 2x + \\cos 2y + \\cos 2z = 0 \\\\\n\\cos 3x + \\cos 3y + \\cos 3z = 0\n\\]\nFind all the values that $\\sin x + \\sin y + \\sin z$ can take.",
"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 country the composer of song Bella Notte is from?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American",
"style": "rule"
}
|
{
"index": 190,
"need_tools_kwargs": true,
"question": "Which country the composer of song Bella Notte is from?",
"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 character from the twelfth episode of \"The Simpsons\" second season was created and designed by cartoonist Matt Groening?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Marge\" Simpson",
"style": "rule"
}
|
{
"index": 191,
"need_tools_kwargs": true,
"question": "Which character from the twelfth episode of \"The Simpsons\" second season was created and designed by cartoonist Matt Groening?",
"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 name of the city in Austria where this well known extreme metal band is from?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Salzburg",
"style": "rule"
}
|
{
"index": 192,
"need_tools_kwargs": true,
"question": "What is the name of the city in Austria where this well known extreme metal band is from?",
"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": "Petya missed the football match \"Dynamo\" vs \"Shinnik\" and, upon arriving at school the next morning, heard his friends discussing the game's results. Petya's classmate Vasya refused to reveal the match score but agreed to honestly answer any two yes-or-no questions about the game. Hearing this, Petya's three friends honestly told him the following:\n\nRoma: \"If I state the total number of goals scored in the match, you will undoubtedly be able to find out the score from Vasya.\"\n\nOleg: \"Actually, even if the losing team had scored one more goal, the information about the total number of goals scored in the match would be enough for you to undoubtedly know the score from Vasya.\"\n\nSeryozha: \"The 'Shinnik' forward made the most beautiful assist of the season.\" Can Petya now undoubtedly find out the score from Vasya by asking only one question?",
"role": "user"
}
] |
math
|
{
"ground_truth": "Да",
"style": "rule"
}
|
{
"index": 193,
"need_tools_kwargs": true,
"question": "Petya missed the football match \"Dynamo\" vs \"Shinnik\" and, upon arriving at school the next morning, heard his friends discussing the game's results. Petya's classmate Vasya refused to reveal the match score but agreed to honestly answer any two yes-or-no questions about the game. Hearing this, Petya's three friends honestly told him the following:\n\nRoma: \"If I state the total number of goals scored in the match, you will undoubtedly be able to find out the score from Vasya.\"\n\nOleg: \"Actually, even if the losing team had scored one more goal, the information about the total number of goals scored in the match would be enough for you to undoubtedly know the score from Vasya.\"\n\nSeryozha: \"The 'Shinnik' forward made the most beautiful assist of the season.\" Can Petya now undoubtedly find out the score from Vasya by asking only one question?",
"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 Brook Benton and Ingus Janevics of the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 194,
"need_tools_kwargs": true,
"question": "Are Brook Benton and Ingus Janevics of 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": "Who is an american novelist who created The Keep?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Jennifer Egan",
"style": "rule"
}
|
{
"index": 195,
"need_tools_kwargs": true,
"question": "Who is an american novelist who created The Keep?",
"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": "Define a function $f(x)$ on $\\mathbb{R}$ that satisfies $f(x) - f(x-5) = 0$. When $x \\in (-1, 4]$, $f(x) = x^2 - 2^x$. Find the number of zeros of the function $f(x)$ on the interval $[0, 2013]$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "1207",
"style": "rule"
}
|
{
"index": 196,
"need_tools_kwargs": true,
"question": "Define a function $f(x)$ on $\\mathbb{R}$ that satisfies $f(x) - f(x-5) = 0$. When $x \\in (-1, 4]$, $f(x) = x^2 - 2^x$. Find the number of zeros of the function $f(x)$ on the interval $[0, 2013]$.",
"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": " K-1 Grand Prix '93 had a karate bout involving the karateka who participated in what weight class?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "heavyweight",
"style": "rule"
}
|
{
"index": 197,
"need_tools_kwargs": true,
"question": " K-1 Grand Prix '93 had a karate bout involving the karateka who participated in what weight class?",
"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 name of the baboon in a show on which Rumen Petkov recently worked as writer, storyboard artist, animation director and director on some episodes?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "I.R. Baboon",
"style": "rule"
}
|
{
"index": 198,
"need_tools_kwargs": true,
"question": "What is the name of the baboon in a show on which Rumen Petkov recently worked as writer, storyboard artist, animation director and director on some episodes?",
"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 any number z, z * is defined as the greatest positive even integer less than or equal to y. What is the value of 6.32 – 6.32 *?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2.32",
"style": "rule"
}
|
{
"index": 199,
"need_tools_kwargs": true,
"question": "For any number z, z * is defined as the greatest positive even integer less than or equal to y. What is the value of 6.32 – 6.32 *?",
"split": "train"
}
| null |
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