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": "Does the article from Fortune claim that Sam Bankman-Fried's lack of persuasive abilities led to Adam Yedidia joining Alameda and FTX, while the TechCrunch articles focus on different aspects of Sam Bankman-Fried's reputation and alleged actions, without mentioning his persuasive influence on specific individuals?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 9500,
"need_tools_kwargs": true,
"question": "Does the article from Fortune claim that Sam Bankman-Fried's lack of persuasive abilities led to Adam Yedidia joining Alameda and FTX, while the TechCrunch articles focus on different aspects of Sam Bankman-Fried's reputation and alleged actions, without mentioning his persuasive influence on specific individuals?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What nationality is the performer of song Rockin' Chair Daddy?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American",
"style": "rule"
}
|
{
"index": 9501,
"need_tools_kwargs": true,
"question": "What nationality is the performer of song Rockin' Chair Daddy?",
"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 sequence $\\{a_n\\}$ satisfies $a_{n+1}+(-1)^{n}a_{n}=2n-1$. Find the sum of the first $60$ terms of $\\{a_n\\}$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "1830",
"style": "rule"
}
|
{
"index": 9502,
"need_tools_kwargs": true,
"question": "The sequence $\\{a_n\\}$ satisfies $a_{n+1}+(-1)^{n}a_{n}=2n-1$. Find the sum of the first $60$ terms of $\\{a_n\\}$.",
"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": "How many ordered integer pairs $ \\left(x,y\\right)$ are there satisfying the following equation: \n\\[ y = \\sqrt{x+1998+\\sqrt{x+1998+\\sqrt{x+1997+\\sqrt{x+1997+\\ldots +\\sqrt{x+1+\\sqrt{x+1+\\sqrt{x+\\sqrt{x} } } } } } } }.\\]",
"role": "user"
}
] |
math
|
{
"ground_truth": "0",
"style": "rule"
}
|
{
"index": 9503,
"need_tools_kwargs": true,
"question": "How many ordered integer pairs $ \\left(x,y\\right)$ are there satisfying the following equation: \n\\[ y = \\sqrt{x+1998+\\sqrt{x+1998+\\sqrt{x+1997+\\sqrt{x+1997+\\ldots +\\sqrt{x+1+\\sqrt{x+1+\\sqrt{x+\\sqrt{x} } } } } } } }.\\]",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In the rectangular coordinate system $(xOy)$, the parametric equation of line $l$ is given by $ \\begin{cases} x=-\\frac{1}{2}t \\\\ y=2+\\frac{\\sqrt{3}}{2}t \\end{cases} (t\\text{ is the parameter})$, and a circle $C$ with polar coordinate equation $\\rho=4\\cos\\theta$ is established with the origin $O$ as the pole and the positive half of the $x$-axis as the polar axis. Let $M$ be any point on circle $C$, and connect $OM$ and extend it to $Q$ such that $|OM|=|MQ|$.\n(I) Find the rectangular coordinate equation of the trajectory of point $Q$;\n(II) If line $l$ intersects the trajectory of point $Q$ at points $A$ and $B$, and the rectangular coordinates of point $P$ are $(0,2)$, find the value of $|PA|+|PB|$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "4+2\\sqrt{3}",
"style": "rule"
}
|
{
"index": 9504,
"need_tools_kwargs": true,
"question": "In the rectangular coordinate system $(xOy)$, the parametric equation of line $l$ is given by $ \\begin{cases} x=-\\frac{1}{2}t \\\\ y=2+\\frac{\\sqrt{3}}{2}t \\end{cases} (t\\text{ is the parameter})$, and a circle $C$ with polar coordinate equation $\\rho=4\\cos\\theta$ is established with the origin $O$ as the pole and the positive half of the $x$-axis as the polar axis. Let $M$ be any point on circle $C$, and connect $OM$ and extend it to $Q$ such that $|OM|=|MQ|$.\n(I) Find the rectangular coordinate equation of the trajectory of point $Q$;\n(II) If line $l$ intersects the trajectory of point $Q$ at points $A$ and $B$, and the rectangular coordinates of point $P$ are $(0,2)$, find the value of $|PA|+|PB|$.",
"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 person that William Flannery was an architect for entered the publishing business in what year?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1887",
"style": "rule"
}
|
{
"index": 9505,
"need_tools_kwargs": true,
"question": "The person that William Flannery was an architect for entered the publishing business in what 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": "Who was person born in Sweden 1964 that founded Hidden City Entertainment in 2004?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Jesper Myrfors",
"style": "rule"
}
|
{
"index": 9506,
"need_tools_kwargs": true,
"question": "Who was person born in Sweden 1964 that founded Hidden City Entertainment in 2004?",
"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 was the British statesman for which \"County of Churchill, Queensland\" was named born? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "13 February 184924",
"style": "rule"
}
|
{
"index": 9507,
"need_tools_kwargs": true,
"question": "When was the British statesman for which \"County of Churchill, Queensland\" was named 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": "What is the date of death of the performer of song Glendora (Song)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "May 12, 2001",
"style": "rule"
}
|
{
"index": 9508,
"need_tools_kwargs": true,
"question": "What is the date of death of the performer of song Glendora (Song)?",
"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": "Dima and Sergey were picking berries from a raspberry bush that had 900 berries. Dima alternated his actions: he put one berry in the basket and ate the next one. Sergey also alternated his actions: he put two berries in the basket and ate the next one. It is known that Dima picks berries twice as fast as Sergey. At some point, they harvested all the raspberries from the bush.\n\nWho ultimately put more berries in the basket? What will be the difference?",
"role": "user"
}
] |
math
|
{
"ground_truth": "100",
"style": "rule"
}
|
{
"index": 9509,
"need_tools_kwargs": true,
"question": "Dima and Sergey were picking berries from a raspberry bush that had 900 berries. Dima alternated his actions: he put one berry in the basket and ate the next one. Sergey also alternated his actions: he put two berries in the basket and ate the next one. It is known that Dima picks berries twice as fast as Sergey. At some point, they harvested all the raspberries from the bush.\n\nWho ultimately put more berries in the basket? What will be the difference?",
"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 people died in the famine that inspired the U.S. Commission on the Ukraine Famine?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "7 million to 10 million",
"style": "rule"
}
|
{
"index": 9510,
"need_tools_kwargs": true,
"question": "How many people died in the famine that inspired the U.S. Commission on the Ukraine Famine?",
"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 Shakespearean role was the narrator of the Paddington series particularly known for playing?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "King Lear",
"style": "rule"
}
|
{
"index": 9511,
"need_tools_kwargs": true,
"question": "What Shakespearean role was the narrator of the Paddington series particularly known for playing?",
"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 small village has \\( n \\) people. During their yearly elections, groups of three people come up to a stage and vote for someone in the village to be the new leader. After every possible group of three people has voted for someone, the person with the most votes wins. This year, it turned out that everyone in the village had the exact same number of votes! If \\( 10 \\leq n \\leq 100 \\), what is the number of possible values of \\( n \\)?",
"role": "user"
}
] |
math
|
{
"ground_truth": "61",
"style": "rule"
}
|
{
"index": 9512,
"need_tools_kwargs": true,
"question": "A small village has \\( n \\) people. During their yearly elections, groups of three people come up to a stage and vote for someone in the village to be the new leader. After every possible group of three people has voted for someone, the person with the most votes wins. This year, it turned out that everyone in the village had the exact same number of votes! If \\( 10 \\leq n \\leq 100 \\), what is the number of possible values of \\( n \\)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "To celebrate her birthday, Ana is going to prepare pear and apple pies. In the market, an apple weighs $300 \\text{ g}$ and a pear weighs $200 \\text{ g}$. Ana's bag can hold a maximum weight of $7 \\text{ kg}$. What is the maximum number of fruits she can buy to make pies with both types of fruits?",
"role": "user"
}
] |
math
|
{
"ground_truth": "34",
"style": "rule"
}
|
{
"index": 9513,
"need_tools_kwargs": true,
"question": "To celebrate her birthday, Ana is going to prepare pear and apple pies. In the market, an apple weighs $300 \\text{ g}$ and a pear weighs $200 \\text{ g}$. Ana's bag can hold a maximum weight of $7 \\text{ kg}$. What is the maximum number of fruits she can buy to make pies with both types of fruits?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Suppose \\( N \\) is a 6-digit number having base-10 representation \\( \\underline{a} \\underline{b} \\underline{c} \\underline{d} \\underline{e} \\underline{f} \\). If \\( N \\) is \\( \\frac{6}{7} \\) of the number having base-10 representation \\( \\underline{d} \\underline{e} \\underline{f} \\underline{a} \\underline{b} \\underline{c} \\), find \\( N \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "461538",
"style": "rule"
}
|
{
"index": 9514,
"need_tools_kwargs": true,
"question": "Suppose \\( N \\) is a 6-digit number having base-10 representation \\( \\underline{a} \\underline{b} \\underline{c} \\underline{d} \\underline{e} \\underline{f} \\). If \\( N \\) is \\( \\frac{6}{7} \\) of the number having base-10 representation \\( \\underline{d} \\underline{e} \\underline{f} \\underline{a} \\underline{b} \\underline{c} \\), find \\( 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": "Given 100 different points on a circle, determine the largest positive integer \\( k \\) such that if any \\( k \\) of these points are arbitrarily colored either red or blue, the remaining points can be suitably colored red or blue in a way that 50 line segments can be drawn between these 100 points as endpoints, with no two line segments sharing a common point, and each line segment having endpoints of the same color.",
"role": "user"
}
] |
math
|
{
"ground_truth": "50",
"style": "rule"
}
|
{
"index": 9515,
"need_tools_kwargs": true,
"question": "Given 100 different points on a circle, determine the largest positive integer \\( k \\) such that if any \\( k \\) of these points are arbitrarily colored either red or blue, the remaining points can be suitably colored red or blue in a way that 50 line segments can be drawn between these 100 points as endpoints, with no two line segments sharing a common point, and each line segment having endpoints of 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 is the birth name of the person who inspired the song My Girlfriend?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Brian Hugh Warner",
"style": "rule"
}
|
{
"index": 9516,
"need_tools_kwargs": true,
"question": "What is the birth name of the person who inspired the song My Girlfriend?",
"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": "Between the TechCrunch report on Sam Bankman-Fried's trial and the subsequent report by the same source on the prosecution's allegations against him, was there consistency in the portrayal of the charges he is facing?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Yes",
"style": "rule"
}
|
{
"index": 9517,
"need_tools_kwargs": true,
"question": "Between the TechCrunch report on Sam Bankman-Fried's trial and the subsequent report by the same source on the prosecution's allegations against him, was there consistency in the portrayal of the charges he is facing?",
"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": "James buys 100 head of cattle for $40,000. It cost 20% more than that to feed them. They each weigh a certain amount of pounds and sell for $2 per pound. He made a profit of $112,000. How much does each cattle weigh in pounds?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1,000",
"style": "rule"
}
|
{
"index": 9518,
"need_tools_kwargs": true,
"question": "James buys 100 head of cattle for $40,000. It cost 20% more than that to feed them. They each weigh a certain amount of pounds and sell for $2 per pound. He made a profit of $112,000. How much does each cattle weigh in pounds?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Consider sets $\\{3, 4, 5, \\ldots, n\\}$ of consecutive positive integers, all of whose twelve-element subsets have the triangle property. What is the largest possible value of $n$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "520",
"style": "rule"
}
|
{
"index": 9519,
"need_tools_kwargs": true,
"question": "Consider sets $\\{3, 4, 5, \\ldots, n\\}$ of consecutive positive integers, all of whose twelve-element subsets have the triangle property. What is the largest possible value of $n$?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "There are 3 math teams in the area, with 5, 7, and 8 students respectively. Each team has two co-captains. If I randomly select a team, and then randomly select two members of that team to give a copy of $\\emph{Introduction to Geometry}$, what is the probability that both of the people who receive books are co-captains?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\dfrac{11}{180}",
"style": "rule"
}
|
{
"index": 9520,
"need_tools_kwargs": true,
"question": "There are 3 math teams in the area, with 5, 7, and 8 students respectively. Each team has two co-captains. If I randomly select a team, and then randomly select two members of that team to give a copy of $\\emph{Introduction to Geometry}$, what is the probability that both of the people who receive books are co-captains?",
"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 $a,$ $b,$ $c,$ $d$ be nonzero integers such that\n\\[\\begin{pmatrix} a & b \\\\ c & d \\end{pmatrix}^2 = \\begin{pmatrix} 7 & 0 \\\\ 0 & 7 \\end{pmatrix}.\\]Find the smallest possible value of $|a| + |b| + |c| + |d|.$",
"role": "user"
}
] |
math
|
{
"ground_truth": "7",
"style": "rule"
}
|
{
"index": 9521,
"need_tools_kwargs": true,
"question": "Let $a,$ $b,$ $c,$ $d$ be nonzero integers such that\n\\[\\begin{pmatrix} a & b \\\\ c & d \\end{pmatrix}^2 = \\begin{pmatrix} 7 & 0 \\\\ 0 & 7 \\end{pmatrix}.\\]Find the smallest possible value of $|a| + |b| + |c| + |d|.$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which film has the director born later, Tales Of An Ancient Empire or Signal Over The City?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Tales Of An Ancient Empire",
"style": "rule"
}
|
{
"index": 9522,
"need_tools_kwargs": true,
"question": "Which film has the director born later, Tales Of An Ancient Empire or Signal Over The City?",
"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": "已知 \\triangle OAB 的顶点坐标 O(0,0), A(4,4\\sqrt{3}), B(8,0)，它的内切圆圆心为 I。设圆 C 经过 A, B 两点，且与 \\odot I 交于 P, Q 两点。若分别过 P, Q 点所作两圆的切线垂直，则圆 C 的半径为 k\\sqrt{m}。请计算 k + m 的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "9",
"style": "rule"
}
|
{
"index": 9523,
"need_tools_kwargs": true,
"question": "已知 \\triangle OAB 的顶点坐标 O(0,0), A(4,4\\sqrt{3}), B(8,0)，它的内切圆圆心为 I。设圆 C 经过 A, B 两点，且与 \\odot I 交于 P, Q 两点。若分别过 P, Q 点所作两圆的切线垂直，则圆 C 的半径为 k\\sqrt{m}。请计算 k + m 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": "Which film has the director who was born first, Hell In Normandy or The Falcon And The Co-Eds?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "The Falcon And The Co-Eds",
"style": "rule"
}
|
{
"index": 9524,
"need_tools_kwargs": true,
"question": "Which film has the director who was born first, Hell In Normandy or The Falcon And The Co-Eds?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "There are twenty-two people in a waiting room. If three more people arrive, the number of people in the waiting room becomes a multiple of the number of people inside the interview room. How many times larger is the number of people in the waiting room compared to the interview room after the three people arrive?",
"role": "user"
}
] |
math
|
{
"ground_truth": "5,",
"style": "rule"
}
|
{
"index": 9525,
"need_tools_kwargs": true,
"question": "There are twenty-two people in a waiting room. If three more people arrive, the number of people in the waiting room becomes a multiple of the number of people inside the interview room. How many times larger is the number of people in the waiting room compared to the interview room after the three people arrive?",
"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 $T = TNFTPP$ . $x$ and $y$ are nonzero real numbers such that \\[18x - 4x^2 + 2x^3 - 9y - 10xy - x^2y + Ty^2 + 2xy^2 - y^3 = 0.\\] The smallest possible value of $\\tfrac{y}{x}$ is equal to $\\tfrac{m}{n}$ where $m$ and $n$ are relatively prime positive integers. Find $m+n$ .\n\n[b]Note: This is part of the Ultimate Problem, where each question depended on the previous question. For those who wanted to try the problem separately, <details><summary>here's the value of T</summary>$T=6$</details>.",
"role": "user"
}
] |
math
|
{
"ground_truth": " 7 ",
"style": "rule"
}
|
{
"index": 9526,
"need_tools_kwargs": true,
"question": "Let $T = TNFTPP$ . $x$ and $y$ are nonzero real numbers such that \\[18x - 4x^2 + 2x^3 - 9y - 10xy - x^2y + Ty^2 + 2xy^2 - y^3 = 0.\\] The smallest possible value of $\\tfrac{y}{x}$ is equal to $\\tfrac{m}{n}$ where $m$ and $n$ are relatively prime positive integers. Find $m+n$ .\n\n[b]Note: This is part of the Ultimate Problem, where each question depended on the previous question. For those who wanted to try the problem separately, <details><summary>here's the value of T</summary>$T=6$</details>.",
"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 quadrilateral pyramid \\(PABCD\\), the lateral face \\(PAD\\) is an equilateral triangle that is perpendicular to the base \\(ABCD\\). The base \\(ABCD\\) is a rhombus with a side length of 2, and \\(\\angle BAD = 60^\\circ\\). Let \\(N\\) be the midpoint of \\(PB\\), and the cross-section \\(DAN\\) intersects \\(PC\\) at point \\(M\\). Determine the dihedral angle between the planes \\(P-AD-M\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "45",
"style": "rule"
}
|
{
"index": 9527,
"need_tools_kwargs": true,
"question": "In the quadrilateral pyramid \\(PABCD\\), the lateral face \\(PAD\\) is an equilateral triangle that is perpendicular to the base \\(ABCD\\). The base \\(ABCD\\) is a rhombus with a side length of 2, and \\(\\angle BAD = 60^\\circ\\). Let \\(N\\) be the midpoint of \\(PB\\), and the cross-section \\(DAN\\) intersects \\(PC\\) at point \\(M\\). Determine the dihedral angle between the planes \\(P-AD-M\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Suppose that $A, B, C, D$ are four points in the plane, and let $Q, R, S, T, U, V$ be the respective midpoints of $AB, AC, AD, BC, BD, CD$. If $QR = 2001$, $SU = 2002$, and $TV = 2003$, find the distance between the midpoints of $QU$ and $RV$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2001",
"style": "rule"
}
|
{
"index": 9528,
"need_tools_kwargs": true,
"question": "Suppose that $A, B, C, D$ are four points in the plane, and let $Q, R, S, T, U, V$ be the respective midpoints of $AB, AC, AD, BC, BD, CD$. If $QR = 2001$, $SU = 2002$, and $TV = 2003$, find the distance between the midpoints of $QU$ and $RV$.",
"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 rebranded name of the racing series now that was won in 2016 by the Prema Powerteam?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "FIA Formula 2 Championship",
"style": "rule"
}
|
{
"index": 9529,
"need_tools_kwargs": true,
"question": "What is the rebranded name of the racing series now that was won in 2016 by the Prema Powerteam?",
"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 digits 1, 2, 3, 4, and 5 were used, each one only once, to write a certain five-digit number \\(abcde\\) such that \\(abc\\) is divisible by 4, \\(bcd\\) is divisible by 5, and \\(cde\\) is divisible by 3. Find this number.",
"role": "user"
}
] |
math
|
{
"ground_truth": "12453",
"style": "rule"
}
|
{
"index": 9530,
"need_tools_kwargs": true,
"question": "The digits 1, 2, 3, 4, and 5 were used, each one only once, to write a certain five-digit number \\(abcde\\) such that \\(abc\\) is divisible by 4, \\(bcd\\) is divisible by 5, and \\(cde\\) is divisible by 3. Find this number.",
"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 the sequence \\(\\{a_n\\}\\) where \\(a_n = n^3 + 4\\) for \\(n \\in \\mathbf{N}_+\\). Let \\(d_n = \\gcd(a_n, a_{n+1})\\), which is the greatest common divisor of \\(a_n\\) and \\(a_{n+1}\\). Find the maximum value of \\(d_n\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "433",
"style": "rule"
}
|
{
"index": 9531,
"need_tools_kwargs": true,
"question": "Define the sequence \\(\\{a_n\\}\\) where \\(a_n = n^3 + 4\\) for \\(n \\in \\mathbf{N}_+\\). Let \\(d_n = \\gcd(a_n, a_{n+1})\\), which is the greatest common divisor of \\(a_n\\) and \\(a_{n+1}\\). Find the maximum value of \\(d_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": "Let \\( f(x) \\) be a function defined on \\(\\mathbf{R}\\), and for any real number \\( x \\), \\( f(x+3) \\cdot f(x-4) = -1 \\). Also, for \\( 0 \\leq x < 7 \\), \\( f(x) = \\log _{2}(9-x) \\). Determine the value of \\( f(-100) \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "-\\frac{1}{2}",
"style": "rule"
}
|
{
"index": 9532,
"need_tools_kwargs": true,
"question": "Let \\( f(x) \\) be a function defined on \\(\\mathbf{R}\\), and for any real number \\( x \\), \\( f(x+3) \\cdot f(x-4) = -1 \\). Also, for \\( 0 \\leq x < 7 \\), \\( f(x) = \\log _{2}(9-x) \\). Determine the value of \\( f(-100) \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given that circle E passes through points M(-1, 0), N(0, 1), and P($$\\frac{1}{2}$$, -$$\\frac{\\sqrt{3}}{2}$$).\n\n1. Find the equation of circle E.\n2. If a line is drawn through point C(2, 2) intersecting circle E at points A and B, find the equation of line AB.",
"role": "user"
}
] |
math
|
{
"ground_truth": "x + y = \\frac{1}{2}",
"style": "rule"
}
|
{
"index": 9533,
"need_tools_kwargs": true,
"question": "Given that circle E passes through points M(-1, 0), N(0, 1), and P($$\\frac{1}{2}$$, -$$\\frac{\\sqrt{3}}{2}$$).\n\n1. Find the equation of circle E.\n2. If a line is drawn through point C(2, 2) intersecting circle E at points A and B, find the equation of line AB.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Consider the film to which 2 Rats has been called Nollywood's version of. In what year was it released?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1990",
"style": "rule"
}
|
{
"index": 9534,
"need_tools_kwargs": true,
"question": "Consider the film to which 2 Rats has been called Nollywood's version of. In what year was it released?",
"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 director of film Mother'S Happiness and director of film Neethaane En Ponvasantham from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 9535,
"need_tools_kwargs": true,
"question": "Are director of film Mother'S Happiness and director of film Neethaane En Ponvasantham 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": "True Link Financial, Inc. is a San Francisco, California based financial services firm that offers investment accounts and debit cards customized for seniors, notable investors include which American software engineer?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Matthew \"Matt\" Cutts",
"style": "rule"
}
|
{
"index": 9536,
"need_tools_kwargs": true,
"question": "True Link Financial, Inc. is a San Francisco, California based financial services firm that offers investment accounts and debit cards customized for seniors, notable investors include which American software engineer?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When is the director of film The White Storm 's birthday?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "7 October 1961",
"style": "rule"
}
|
{
"index": 9537,
"need_tools_kwargs": true,
"question": "When is the director of film The White Storm 's birthday?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "With all angles measured in degrees, calculate the product $\\prod_{k=1}^{30} \\csc^2(3k)^\\circ$, and express the result as $m^n$, where $m$ and $n$ are integers greater than 1. Find $m+n$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "31",
"style": "rule"
}
|
{
"index": 9538,
"need_tools_kwargs": true,
"question": "With all angles measured in degrees, calculate the product $\\prod_{k=1}^{30} \\csc^2(3k)^\\circ$, and express the result as $m^n$, where $m$ and $n$ are integers greater than 1. Find $m+n$.",
"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": "For how many positive integer values of $n$ are both $\\frac{n}{3}$ and $3n$ three-digit whole numbers?\n$\\textbf{(A)}\\ 12\\qquad \\textbf{(B)}\\ 21\\qquad \\textbf{(C)}\\ 27\\qquad \\textbf{(D)}\\ 33\\qquad \\textbf{(E)}\\ 34$",
"role": "user"
}
] |
math
|
{
"ground_truth": "34",
"style": "rule"
}
|
{
"index": 9539,
"need_tools_kwargs": true,
"question": "For how many positive integer values of $n$ are both $\\frac{n}{3}$ and $3n$ three-digit whole numbers?\n$\\textbf{(A)}\\ 12\\qquad \\textbf{(B)}\\ 21\\qquad \\textbf{(C)}\\ 27\\qquad \\textbf{(D)}\\ 33\\qquad \\textbf{(E)}\\ 34$",
"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 village hosts a temple dedicated to one of the principal deities of Hinduism?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Thirunangur",
"style": "rule"
}
|
{
"index": 9540,
"need_tools_kwargs": true,
"question": "Which village hosts a temple dedicated to one of the principal deities of Hinduism?",
"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 field, there are two trees: an aspen with a height of 20 meters and a birch with a height of 30 meters. The distance between the trees is 50 meters. A crow is sitting on the top of each tree. Find the point on the ground such that the sum of the distances the crows have to fly from their positions to the cheese is minimized. What is this sum in meters? If necessary, round the answer to the nearest hundredth.",
"role": "user"
}
] |
math
|
{
"ground_truth": "50.99",
"style": "rule"
}
|
{
"index": 9541,
"need_tools_kwargs": true,
"question": "In a field, there are two trees: an aspen with a height of 20 meters and a birch with a height of 30 meters. The distance between the trees is 50 meters. A crow is sitting on the top of each tree. Find the point on the ground such that the sum of the distances the crows have to fly from their positions to the cheese is minimized. What is this sum in meters? If necessary, round the answer to the nearest hundredth.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When did William Michael Albert Broad's drummer start playing the drums?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Tichy began playing drums at age eight",
"style": "rule"
}
|
{
"index": 9542,
"need_tools_kwargs": true,
"question": "When did William Michael Albert Broad's drummer start playing the drums?",
"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": "Mirror Lake is south of which city?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Portland",
"style": "rule"
}
|
{
"index": 9543,
"need_tools_kwargs": true,
"question": "Mirror Lake is south of which city?",
"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 Deh Mian, Lamerd and Kuturgan located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 9544,
"need_tools_kwargs": true,
"question": "Are Deh Mian, Lamerd and Kuturgan located in the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of birth of Mina Gerhardsen's father?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "13 June 1946",
"style": "rule"
}
|
{
"index": 9545,
"need_tools_kwargs": true,
"question": "What is the date of birth of Mina Gerhardsen's father?",
"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": "Has the focus of Taylor Swift coverage by 'The Independent - Life and Style' and 'FOX News - Lifestyle' remained solely on the National Football League's (NFL) perspective without shifting to personal fan experiences involving individuals like Annika?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 9546,
"need_tools_kwargs": true,
"question": "Has the focus of Taylor Swift coverage by 'The Independent - Life and Style' and 'FOX News - Lifestyle' remained solely on the National Football League's (NFL) perspective without shifting to personal fan experiences involving individuals like Annika?",
"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 all positive integers $m$ such that $\\frac{13!}{m}$ is a perfect square can be written as $2^a3^b5^c7^d11^e13^f,$ where $a,b,c,d,e,$ and $f$ are positive integers. Find $a+b+c+d+e+f.$",
"role": "user"
}
] |
math
|
{
"ground_truth": "12",
"style": "rule"
}
|
{
"index": 9547,
"need_tools_kwargs": true,
"question": "The sum of all positive integers $m$ such that $\\frac{13!}{m}$ is a perfect square can be written as $2^a3^b5^c7^d11^e13^f,$ where $a,b,c,d,e,$ and $f$ are positive integers. Find $a+b+c+d+e+f.$",
"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 > 1 \\) be a natural number. Find all numbers that are divisors of at least one of the numbers\n\n\\[ \na_{n} = \\sum_{k=0}^{n} a^{k}, \\quad n \\in \\mathbf{N}. \n\\]",
"role": "user"
}
] |
math
|
{
"ground_truth": "m \\in \\mathbb{N} \\mid \\gcd(m, a) = 1",
"style": "rule"
}
|
{
"index": 9548,
"need_tools_kwargs": true,
"question": "Let \\( a > 1 \\) be a natural number. Find all numbers that are divisors of at least one of the numbers\n\n\\[ \na_{n} = \\sum_{k=0}^{n} a^{k}, \\quad n \\in \\mathbf{N}. \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": "Petya tells Vasya: \"I constructed a scalene triangle \\(ABC\\) and drew the angle bisectors \\(AM\\) and \\(CN\\). It turned out that \\(OM = ON\\), where \\(O\\) is the point of intersection of the angle bisectors. Can you determine the measure of angle \\(B\\)?\"\n\nVasya replies: \"It is impossible for \\(OM\\) and \\(ON\\) to be equal in a scalene triangle.\"\n\nWhich of the boys is correct?",
"role": "user"
}
] |
math
|
{
"ground_truth": "60",
"style": "rule"
}
|
{
"index": 9549,
"need_tools_kwargs": true,
"question": "Petya tells Vasya: \"I constructed a scalene triangle \\(ABC\\) and drew the angle bisectors \\(AM\\) and \\(CN\\). It turned out that \\(OM = ON\\), where \\(O\\) is the point of intersection of the angle bisectors. Can you determine the measure of angle \\(B\\)?\"\n\nVasya replies: \"It is impossible for \\(OM\\) and \\(ON\\) to be equal in a scalene triangle.\"\n\nWhich of the boys is correct?",
"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": "Before Ashley started a three-hour drive, her car's odometer reading was 29792, a palindrome. (A palindrome is a number that reads the same way from left to right as it does from right to left). At her destination, the odometer reading was another palindrome. If Ashley never exceeded the speed limit of 75 miles per hour, what was her greatest possible average speed?",
"role": "user"
}
] |
math
|
{
"ground_truth": "70 \\frac{1}{3}",
"style": "rule"
}
|
{
"index": 9550,
"need_tools_kwargs": true,
"question": "Before Ashley started a three-hour drive, her car's odometer reading was 29792, a palindrome. (A palindrome is a number that reads the same way from left to right as it does from right to left). At her destination, the odometer reading was another palindrome. If Ashley never exceeded the speed limit of 75 miles per hour, what was her greatest possible average 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": "When did Friede Springer's husband die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "22 September 1985",
"style": "rule"
}
|
{
"index": 9551,
"need_tools_kwargs": true,
"question": "When did Friede Springer's husband die?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A cone and a hemisphere share a common base with a radius of $R$. Find the lateral surface area of the cone if its volume is equal to the volume of the hemisphere.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\sqrt{5} \\cdot \\pi \\cdot R^2",
"style": "rule"
}
|
{
"index": 9552,
"need_tools_kwargs": true,
"question": "A cone and a hemisphere share a common base with a radius of $R$. Find the lateral surface area of the cone if its volume is equal to the volume of the hemisphere.",
"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 Edge of Seventeen Features an actor born on July 23rd of what year?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1961",
"style": "rule"
}
|
{
"index": 9553,
"need_tools_kwargs": true,
"question": "The Edge of Seventeen Features an actor born on July 23rd of what 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": "What nationality is the director of film Murder, She Said?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "British",
"style": "rule"
}
|
{
"index": 9554,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Murder, She Said?",
"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 Kharyyalakh, Verkhnevilyuysky District, Sakha Republic and Karimabad, Saqqez both located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 9555,
"need_tools_kwargs": true,
"question": "Are Kharyyalakh, Verkhnevilyuysky District, Sakha Republic and Karimabad, Saqqez both 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": "Which Ketel One liquor is the only liquor that can use its name, according to European Union regulations?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Jenever",
"style": "rule"
}
|
{
"index": 9556,
"need_tools_kwargs": true,
"question": "Which Ketel One liquor is the only liquor that can use its name, according to European Union regulations?",
"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 first term of a geometric sequence \\( \\left\\{ a_n \\right\\} \\) is \\( a_1 = 1536 \\) and the common ratio is \\( q = -\\frac{1}{2} \\). Let \\( \\pi_{n} \\) represent the product of the first \\( n \\) terms of this sequence. Determine for which \\( n \\in \\mathbf{N} \\), \\( \\pi_{n} \\) is maximized:\n(A) \\( \\pi_9 \\)\n(B) \\( \\pi_{11} \\)\n(C) \\( \\pi_{12} \\)\n(D) \\( \\pi_{13} \\)",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\pi_{12}",
"style": "rule"
}
|
{
"index": 9557,
"need_tools_kwargs": true,
"question": "The first term of a geometric sequence \\( \\left\\{ a_n \\right\\} \\) is \\( a_1 = 1536 \\) and the common ratio is \\( q = -\\frac{1}{2} \\). Let \\( \\pi_{n} \\) represent the product of the first \\( n \\) terms of this sequence. Determine for which \\( n \\in \\mathbf{N} \\), \\( \\pi_{n} \\) is maximized:\n(A) \\( \\pi_9 \\)\n(B) \\( \\pi_{11} \\)\n(C) \\( \\pi_{12} \\)\n(D) \\( \\pi_{13} \\)",
"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 lengths of the sides of a right triangle are whole numbers. What can be the last digit of the area if the length of the hypotenuse is not divisible by 5?",
"role": "user"
}
] |
math
|
{
"ground_truth": "0",
"style": "rule"
}
|
{
"index": 9558,
"need_tools_kwargs": true,
"question": "The lengths of the sides of a right triangle are whole numbers. What can be the last digit of the area if the length of the hypotenuse is not divisible by 5?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Determine the inverse of the function $f(x) = 3 - 4x + x^2$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "g(x) = 2 - \\sqrt{1 + x}",
"style": "rule"
}
|
{
"index": 9559,
"need_tools_kwargs": true,
"question": "Determine the inverse of the function $f(x) = 3 - 4x + x^2$.",
"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": "A group of children riding on bicycles, tricycles, and quadcycles passed by Nancy’s house. Nancy counted a total of \\(10\\) children and \\(29\\) wheels. Using this information, determine how many quadcycles were present in the group.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 9560,
"need_tools_kwargs": true,
"question": "A group of children riding on bicycles, tricycles, and quadcycles passed by Nancy’s house. Nancy counted a total of \\(10\\) children and \\(29\\) wheels. Using this information, determine how many quadcycles were present in the group.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When did the director of film Haath Ki Safai die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "17 May 2009",
"style": "rule"
}
|
{
"index": 9561,
"need_tools_kwargs": true,
"question": "When did the director of film Haath Ki Safai die?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who directed the comedy starring the singer who is known for the song \"I Saw Mommy Kissing Santa Claus?\"",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Randall Hood",
"style": "rule"
}
|
{
"index": 9562,
"need_tools_kwargs": true,
"question": "Who directed the comedy starring the singer who is known for the song \"I Saw Mommy Kissing Santa Claus?\"",
"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": "Using \"学\" and \"习\" to represent two different digits, the four-digit number \"学学学学\" and \"羽习习习习\" have a product that is a seven-digit number. And the units digit and the million's place digit of the product are the same as the digit represented by \"学\". How many different two-digit numbers can \"学习\" represent?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 9563,
"need_tools_kwargs": true,
"question": "Using \"学\" and \"习\" to represent two different digits, the four-digit number \"学学学学\" and \"羽习习习习\" have a product that is a seven-digit number. And the units digit and the million's place digit of the product are the same as the digit represented by \"学\". How many different two-digit numbers can \"学习\" represent?",
"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 bands, Big Mountain (band) and Filo & Peri, from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 9564,
"need_tools_kwargs": true,
"question": "Are both bands, Big Mountain (band) and Filo & Peri, 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": "Which film has the director who was born later, She Was Only A Village Maiden or Halloween 4: The Return Of Michael Myers?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Halloween 4: The Return Of Michael Myers",
"style": "rule"
}
|
{
"index": 9565,
"need_tools_kwargs": true,
"question": "Which film has the director who was born later, She Was Only A Village Maiden or Halloween 4: The Return Of Michael Myers?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which film came out first, Brudebuketten or Vibes (Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Brudebuketten",
"style": "rule"
}
|
{
"index": 9566,
"need_tools_kwargs": true,
"question": "Which film came out first, Brudebuketten or Vibes (Film)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The producer of the 1983 American romantic drama film directed by Adrian Lyne that had an influence on other 1980s films including \"Top Gun\" (1986) is Chairman and CEO of which industry?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Mandalay Entertainment",
"style": "rule"
}
|
{
"index": 9567,
"need_tools_kwargs": true,
"question": "The producer of the 1983 American romantic drama film directed by Adrian Lyne that had an influence on other 1980s films including \"Top Gun\" (1986) is Chairman and CEO of which industry?",
"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": "Inside a magician's hat live 100 rabbits: white, blue, and green. It is known that if you randomly pull 81 rabbits out of the hat, there will definitely be three different colors among them. What is the minimum number of rabbits needed to be pulled out of the hat to ensure that there are exactly two different colors among them?",
"role": "user"
}
] |
math
|
{
"ground_truth": "61",
"style": "rule"
}
|
{
"index": 9568,
"need_tools_kwargs": true,
"question": "Inside a magician's hat live 100 rabbits: white, blue, and green. It is known that if you randomly pull 81 rabbits out of the hat, there will definitely be three different colors among them. What is the minimum number of rabbits needed to be pulled out of the hat to ensure that there are exactly two different colors among them?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Consider a regular pentagon \\( ABCDE \\) with a star shape \\( ACEBD \\) that has an area of 1 unit. The lines \\( AC \\) and \\( BE \\) intersect at point \\( P \\), while lines \\( BD \\) and \\( CE \\) intersect at point \\( Q \\). Determine the area of the quadrilateral \\( APQD \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{1}{2}",
"style": "rule"
}
|
{
"index": 9569,
"need_tools_kwargs": true,
"question": "Consider a regular pentagon \\( ABCDE \\) with a star shape \\( ACEBD \\) that has an area of 1 unit. The lines \\( AC \\) and \\( BE \\) intersect at point \\( P \\), while lines \\( BD \\) and \\( CE \\) intersect at point \\( Q \\). Determine the area of the quadrilateral \\( APQD \\).",
"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 and Jane went out for a dinner and they ordered the same dish. Both used a 10% discount coupon. John paid a certain percentage tip over the original price of the dish, while Jane paid the tip over the discounted price for the coupon. John paid $0.36 more than Jane. The original price of the dish was $24.00000000000002. What was the percentage of the tip John paid?",
"role": "user"
}
] |
math
|
{
"ground_truth": "15\\%",
"style": "rule"
}
|
{
"index": 9570,
"need_tools_kwargs": true,
"question": "John and Jane went out for a dinner and they ordered the same dish. Both used a 10% discount coupon. John paid a certain percentage tip over the original price of the dish, while Jane paid the tip over the discounted price for the coupon. John paid $0.36 more than Jane. The original price of the dish was $24.00000000000002. What was the percentage of the tip John paid?",
"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 an album that features cover versions of songs off of a 1991 record by an Anglo-Irish rock band formed in Dublin in 1983?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Yellow Loveless",
"style": "rule"
}
|
{
"index": 9571,
"need_tools_kwargs": true,
"question": "What is the name of an album that features cover versions of songs off of a 1991 record by an Anglo-Irish rock band formed in Dublin in 1983?",
"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 $\\alpha$ be a root of $x^6-x-1$, and call two polynomials $p$ and $q$ with integer coefficients \\textit{equivalent} if $p(\\alpha)\\equiv q(\\alpha)\\pmod{3}$. It is known that every such polynomial is equivalent to exactly one of $0, 1, x, x^2, \\ldots, x^{727}$. Find the largest integer $n < 728$ for which there exists a polynomial $p$ such that $p^3 - p - x^n$ is equivalent to $0$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "727",
"style": "rule"
}
|
{
"index": 9572,
"need_tools_kwargs": true,
"question": "Let $\\alpha$ be a root of $x^6-x-1$, and call two polynomials $p$ and $q$ with integer coefficients \\textit{equivalent} if $p(\\alpha)\\equiv q(\\alpha)\\pmod{3}$. It is known that every such polynomial is equivalent to exactly one of $0, 1, x, x^2, \\ldots, x^{727}$. Find the largest integer $n < 728$ for which there exists a polynomial $p$ such that $p^3 - p - x^n$ is equivalent to $0$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where did the director of film The Price Of Life (1994 Film) study?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "University of Zagreb",
"style": "rule"
}
|
{
"index": 9573,
"need_tools_kwargs": true,
"question": "Where did the director of film The Price Of Life (1994 Film) study?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A man walks \\( x \\) miles due east, then turns \\( 120^\\circ \\) to his left and walks \\( 6 \\) miles in the new direction. If he finishes at a point \\( 2\\sqrt{3} \\) miles from his starting point, determine the value of \\( x \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "3\\sqrt{3}+\\sqrt{3}",
"style": "rule"
}
|
{
"index": 9574,
"need_tools_kwargs": true,
"question": "A man walks \\( x \\) miles due east, then turns \\( 120^\\circ \\) to his left and walks \\( 6 \\) miles in the new direction. If he finishes at a point \\( 2\\sqrt{3} \\) miles from his starting point, determine the value of \\( x \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Do Lukáš Kutra and Caterine Milinaire share the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 9575,
"need_tools_kwargs": true,
"question": "Do Lukáš Kutra and Caterine Milinaire share the same nationality?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "On a circle, there are $1000$ nonzero real numbers painted black and white in turn. Each black number is equal to the sum of two white numbers adjacent to it, and each white number is equal to the product of two black numbers adjacent to it. What are the possible values of the total sum of $1000$ numbers?",
"role": "user"
}
] |
math
|
{
"ground_truth": "375",
"style": "rule"
}
|
{
"index": 9576,
"need_tools_kwargs": true,
"question": "On a circle, there are $1000$ nonzero real numbers painted black and white in turn. Each black number is equal to the sum of two white numbers adjacent to it, and each white number is equal to the product of two black numbers adjacent to it. What are the possible values of the total sum of $1000$ 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": "Were both Abel Castellano Jr. and Code Black (Dj), born in the same place?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 9577,
"need_tools_kwargs": true,
"question": "Were both Abel Castellano Jr. and Code Black (Dj), 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": "In 2011 what was the population of the area in which Clarendon Street Junction tram stop is located ?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "11,235",
"style": "rule"
}
|
{
"index": 9578,
"need_tools_kwargs": true,
"question": "In 2011 what was the population of the area in which Clarendon Street Junction tram stop is located ?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Do both films, Dove Volano I Corvi D'Argento and Range Law (1944 Film), have the directors who are from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 9579,
"need_tools_kwargs": true,
"question": "Do both films, Dove Volano I Corvi D'Argento and Range Law (1944 Film), have the directors who are 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": "Which screenwriter is best known for his dramas \"A Little Princess\", Mike Hodges or Alfonso Cuarón?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Alfonso Cuarón Orozco",
"style": "rule"
}
|
{
"index": 9580,
"need_tools_kwargs": true,
"question": "Which screenwriter is best known for his dramas \"A Little Princess\", Mike Hodges or Alfonso Cuarón?",
"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 volume of the region in three-dimensional space defined by the inequalities $|x|+|y|+|z|\\le1$ and $|x|+|y|+|z-2|\\le1$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{1}{12}",
"style": "rule"
}
|
{
"index": 9581,
"need_tools_kwargs": true,
"question": "What is the volume of the region in three-dimensional space defined by the inequalities $|x|+|y|+|z|\\le1$ and $|x|+|y|+|z-2|\\le1$?",
"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 was the director of film Return Of The Seven born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "September 3, 1922",
"style": "rule"
}
|
{
"index": 9582,
"need_tools_kwargs": true,
"question": "When was the director of film Return Of The Seven 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": "Season of Love is a 2013 Hong Kong TVB romance drama that explores the complexity of human love, the Summer segment featured which Hong Kong actress, who is best known for her work with Television Broadcasts Limited (TVB), and to an extent, for her film work?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Kate Tsui Tsz-shan",
"style": "rule"
}
|
{
"index": 9583,
"need_tools_kwargs": true,
"question": "Season of Love is a 2013 Hong Kong TVB romance drama that explores the complexity of human love, the Summer segment featured which Hong Kong actress, who is best known for her work with Television Broadcasts Limited (TVB), and to an extent, for her film work?",
"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": "Marc Julian Bradley, the first black Republican to serve in the Wisconsin Senate and only the second black Republican to serve in the Wisconsin Legislature, was born in 1981 and graduated from which high school?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "La Crosse Central High School",
"style": "rule"
}
|
{
"index": 9584,
"need_tools_kwargs": true,
"question": "Marc Julian Bradley, the first black Republican to serve in the Wisconsin Senate and only the second black Republican to serve in the Wisconsin Legislature, was born in 1981 and graduated from which high school?",
"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 original publish date of the magazine that later contained Amy Tan's first published essay?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "September 1944",
"style": "rule"
}
|
{
"index": 9585,
"need_tools_kwargs": true,
"question": "What is the original publish date of the magazine that later contained Amy Tan's first published essay?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "One side of a triangle is divided by the point of tangency of its inscribed circle into two segments of 6 units and 8 units, respectively. If the radius of the inscribed circle is 4 units, what is the length of the shortest side of this triangle?\n(A) 12 units.\n(B) 13 units.\n(C) 14 units.\n(D) 15 units.\n(E) 16 units.",
"role": "user"
}
] |
math
|
{
"ground_truth": "13",
"style": "rule"
}
|
{
"index": 9586,
"need_tools_kwargs": true,
"question": "One side of a triangle is divided by the point of tangency of its inscribed circle into two segments of 6 units and 8 units, respectively. If the radius of the inscribed circle is 4 units, what is the length of the shortest side of this triangle?\n(A) 12 units.\n(B) 13 units.\n(C) 14 units.\n(D) 15 units.\n(E) 16 units.",
"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 $Q$ be the point on line segment $\\overline{CD}$ such that $CQ:QD = 4:1$. Determine the vector $\\overrightarrow{Q}$ in terms of $\\overrightarrow{C}$ and $\\overrightarrow{D}$, and find the values of constants $m$ and $n$ such that\n\\[\\overrightarrow{Q} = m \\overrightarrow{C} + n \\overrightarrow{D}.\\]",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\left(\\frac{1}{5}, \\frac{4}{5}\\right)",
"style": "rule"
}
|
{
"index": 9587,
"need_tools_kwargs": true,
"question": "Let $Q$ be the point on line segment $\\overline{CD}$ such that $CQ:QD = 4:1$. Determine the vector $\\overrightarrow{Q}$ in terms of $\\overrightarrow{C}$ and $\\overrightarrow{D}$, and find the values of constants $m$ and $n$ such that\n\\[\\overrightarrow{Q} = m \\overrightarrow{C} + n \\overrightarrow{D}.\\]",
"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 which county did the family of the first man who drove cattle from Texas into Montana build a tribute to a fallen family member of the 163rd Infantry Regiment?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Gallatin County",
"style": "rule"
}
|
{
"index": 9588,
"need_tools_kwargs": true,
"question": "In which county did the family of the first man who drove cattle from Texas into Montana build a tribute to a fallen family member of the 163rd Infantry Regiment?",
"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 number divided by 7 is some fraction. The number is 5/2. What is the fraction?",
"role": "user"
}
] |
math
|
{
"ground_truth": "5/14",
"style": "rule"
}
|
{
"index": 9589,
"need_tools_kwargs": true,
"question": "A number divided by 7 is some fraction. The number is 5/2. What is the fraction?",
"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": "已知甲、乙、丙、丁四位同学对某 10 道判断题的解答情况如下表：\\def\\arraystretch{2} \\begin{array}{c:c:c:c:c:c:c:c:c:c:c}\n\\hline\n\\text{题 号 }& 1&2&3&4&5&6&7&8&9&10\\\\\n\\hline\n\\text{甲 }& \\times& \\surd &\\times&\\times&\\surd& \\times&\\surd&\\surd&\\surd&\\times\\\\\n\\hline\n\\text{乙 }& \\times& \\times& \\surd &\\surd& \\times& \\surd& \\surd& \\surd& \\times& \\times\\\\\n\\hline\n\\text{丙 }& \\surd&\\surd&\\times&\\surd&\\surd&\\surd&\\times&\\surd&\\times&\\surd\\\\\n\\hline\n\\text{丁 }& \\times&\\times&\\surd&\\surd&\\times&\\times&\\surd&\\surd&\\times&\\times\\\\\n\\hline\n\\end{array}若甲、乙、丙三人均答对 7 题，则丁答对的题数为__________.",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
|
{
"index": 9590,
"need_tools_kwargs": true,
"question": "已知甲、乙、丙、丁四位同学对某 10 道判断题的解答情况如下表：\\def\\arraystretch{2} \\begin{array}{c:c:c:c:c:c:c:c:c:c:c}\n\\hline\n\\text{题 号 }& 1&2&3&4&5&6&7&8&9&10\\\\\n\\hline\n\\text{甲 }& \\times& \\surd &\\times&\\times&\\surd& \\times&\\surd&\\surd&\\surd&\\times\\\\\n\\hline\n\\text{乙 }& \\times& \\times& \\surd &\\surd& \\times& \\surd& \\surd& \\surd& \\times& \\times\\\\\n\\hline\n\\text{丙 }& \\surd&\\surd&\\times&\\surd&\\surd&\\surd&\\times&\\surd&\\times&\\surd\\\\\n\\hline\n\\text{丁 }& \\times&\\times&\\surd&\\surd&\\times&\\times&\\surd&\\surd&\\times&\\times\\\\\n\\hline\n\\end{array}若甲、乙、丙三人均答对 7 题，则丁答对的题数为__________.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "For the set $E=\\{a_1, a_2, \\ldots, a_{100}\\}$, define a subset $X=\\{a_1, a_2, \\ldots, a_n\\}$, and its \"characteristic sequence\" as $x_1, x_2, \\ldots, x_{100}$, where $x_1=x_{10}=\\ldots=x_n=1$. The rest of the items are 0. For example, the \"characteristic sequence\" of the subset $\\{a_2, a_3\\}$ is $0, 1, 0, 0, \\ldots, 0$ \n(1) The sum of the first three items of the \"characteristic sequence\" of the subset $\\{a_1, a_3, a_5\\}$ is ; \n(2) If the \"characteristic sequence\" $P_1, P_2, \\ldots, P_{100}$ of a subset $P$ of $E$ satisfies $p_1=1$, $p_i+p_{i+1}=1$, $1\\leq i\\leq 99$; and the \"characteristic sequence\" $q_1, q_2, \\ldots, q_{100}$ of a subset $Q$ of $E$ satisfies $q_1=1$, $q_j+q_{j+1}+q_{j+2}=1$, $1\\leq j\\leq 98$, then the number of elements in $P\\cap Q$ is .",
"role": "user"
}
] |
math
|
{
"ground_truth": "17",
"style": "rule"
}
|
{
"index": 9591,
"need_tools_kwargs": true,
"question": "For the set $E=\\{a_1, a_2, \\ldots, a_{100}\\}$, define a subset $X=\\{a_1, a_2, \\ldots, a_n\\}$, and its \"characteristic sequence\" as $x_1, x_2, \\ldots, x_{100}$, where $x_1=x_{10}=\\ldots=x_n=1$. The rest of the items are 0. For example, the \"characteristic sequence\" of the subset $\\{a_2, a_3\\}$ is $0, 1, 0, 0, \\ldots, 0$ \n(1) The sum of the first three items of the \"characteristic sequence\" of the subset $\\{a_1, a_3, a_5\\}$ is ; \n(2) If the \"characteristic sequence\" $P_1, P_2, \\ldots, P_{100}$ of a subset $P$ of $E$ satisfies $p_1=1$, $p_i+p_{i+1}=1$, $1\\leq i\\leq 99$; and the \"characteristic sequence\" $q_1, q_2, \\ldots, q_{100}$ of a subset $Q$ of $E$ satisfies $q_1=1$, $q_j+q_{j+1}+q_{j+2}=1$, $1\\leq j\\leq 98$, then the number of elements in $P\\cap Q$ is .",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What McComb, Mississippi-born singer is the subject of the 169th episode of South Park?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Britney Spears",
"style": "rule"
}
|
{
"index": 9592,
"need_tools_kwargs": true,
"question": "What McComb, Mississippi-born singer is the subject of the 169th episode of South Park?",
"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": "已知 $O$ 是凸四边形 $A B C D$ 对角线 $A C$ 和 $B D$ 的交点, $\\triangle A O B, \\triangle B O C$, $\\triangle C O D, \\triangle D O A$ 的周长相等. 若 $\\triangle A O B, \\triangle B O C, \\triangle C O D$ 的内切圆半径分别为 3, 4, 6, 则 $\\triangle D O A$ 的内切圆半径的答案为\\(\\frac{k}{m}\\)的形式，请给出k+m的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "11",
"style": "rule"
}
|
{
"index": 9593,
"need_tools_kwargs": true,
"question": "已知 $O$ 是凸四边形 $A B C D$ 对角线 $A C$ 和 $B D$ 的交点, $\\triangle A O B, \\triangle B O C$, $\\triangle C O D, \\triangle D O A$ 的周长相等. 若 $\\triangle A O B, \\triangle B O C, \\triangle C O D$ 的内切圆半径分别为 3, 4, 6, 则 $\\triangle D O A$ 的内切圆半径的答案为\\(\\frac{k}{m}\\)的形式，请给出k+m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": "When did Steven Ford's mother die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "July 8, 2011",
"style": "rule"
}
|
{
"index": 9594,
"need_tools_kwargs": true,
"question": "When did Steven Ford's mother die?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In a specific sequence, the first term is $a_1 = 4014$ and the second term is $a_2 = 4015$. The sequence is defined such that for all $n \\ge 1$:\n\\[a_n + a_{n+1} + a_{n+2} = 2n.\\]\nDetermine the value of $a_{1000}$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "4680",
"style": "rule"
}
|
{
"index": 9595,
"need_tools_kwargs": true,
"question": "In a specific sequence, the first term is $a_1 = 4014$ and the second term is $a_2 = 4015$. The sequence is defined such that for all $n \\ge 1$:\n\\[a_n + a_{n+1} + a_{n+2} = 2n.\\]\nDetermine the value of $a_{1000}$.",
"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 the Stewart farm, the ratio between the number of sheep and the number of horses is 3 to 7. Each horse is fed 230 ounces of horse food per day. There are 24 sheep in the farm. How many total ounces of horse food does the farm need per day?",
"role": "user"
}
] |
math
|
{
"ground_truth": "12,880",
"style": "rule"
}
|
{
"index": 9596,
"need_tools_kwargs": true,
"question": "At the Stewart farm, the ratio between the number of sheep and the number of horses is 3 to 7. Each horse is fed 230 ounces of horse food per day. There are 24 sheep in the farm. How many total ounces of horse food does the farm need per day?",
"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 number of positive integer solutions \\((a, b, c)\\) that satisfy \\(a \\geqslant b \\geqslant c\\) and \\(a b c = 2(a-1)(b-1)(c-1)\\).\nA. 4\nB. 5\nC. 6\nD. 7",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
|
{
"index": 9597,
"need_tools_kwargs": true,
"question": "Find the number of positive integer solutions \\((a, b, c)\\) that satisfy \\(a \\geqslant b \\geqslant c\\) and \\(a b c = 2(a-1)(b-1)(c-1)\\).\nA. 4\nB. 5\nC. 6\nD. 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": "Between Walt Disney film Bon Voyage! and English biologist Charles Darwin, which one existed further in the past?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Charles Robert Darwin",
"style": "rule"
}
|
{
"index": 9598,
"need_tools_kwargs": true,
"question": "Between Walt Disney film Bon Voyage! and English biologist Charles Darwin, which one existed further in the past?",
"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 created the band for which Patrice Guers was the former bassist?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Luca Turilli and Alex Staropoli",
"style": "rule"
}
|
{
"index": 9599,
"need_tools_kwargs": true,
"question": "Who created the band for which Patrice Guers was the former bassist?",
"split": "train"
}
| null |
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