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": "What do Paul Schattel and Nicola Black have in common?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "director",
"style": "rule"
}
|
{
"index": 5100,
"need_tools_kwargs": true,
"question": "What do Paul Schattel and Nicola Black have in common?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which film director is best known for the movie \"Alvin Purple\", Mark Robson or Tim Burstall?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Timothy \"Tim\" Burstall AM",
"style": "rule"
}
|
{
"index": 5101,
"need_tools_kwargs": true,
"question": "Which film director is best known for the movie \"Alvin Purple\", Mark Robson or Tim Burstall?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": " Frank Schuster home became a meeting place for artists, writers and musicians including an English conductor whose first prominent was conductor of what?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "City of Birmingham Orchestra",
"style": "rule"
}
|
{
"index": 5102,
"need_tools_kwargs": true,
"question": " Frank Schuster home became a meeting place for artists, writers and musicians including an English conductor whose first prominent was conductor of what?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "There is a fence that consists of $n$ planks arranged in a line. Each plank is painted with one of the available 100 colors. Suppose that for any two distinct colors $i$ and $j$, there is a plank with color $i$ located to the left of a (not necessarily adjacent) plank with color $j$. Determine the minimum possible value of $n$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "199",
"style": "rule"
}
|
{
"index": 5103,
"need_tools_kwargs": true,
"question": "There is a fence that consists of $n$ planks arranged in a line. Each plank is painted with one of the available 100 colors. Suppose that for any two distinct colors $i$ and $j$, there is a plank with color $i$ located to the left of a (not necessarily adjacent) plank with color $j$. Determine the minimum 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": "A regular polygon has a perimeter of \\( 108 \\) cm and each side has a length of \\( 12 \\) cm. How many sides does this polygon have?\n(A) 6\n(B) 7\n(C) 8\n(D) 9\n(E) 10",
"role": "user"
}
] |
math
|
{
"ground_truth": "9",
"style": "rule"
}
|
{
"index": 5104,
"need_tools_kwargs": true,
"question": "A regular polygon has a perimeter of \\( 108 \\) cm and each side has a length of \\( 12 \\) cm. How many sides does this polygon have?\n(A) 6\n(B) 7\n(C) 8\n(D) 9\n(E) 10",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of death of the composer of film Ayal Kadha Ezhuthukayanu?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "3 March 2005",
"style": "rule"
}
|
{
"index": 5105,
"need_tools_kwargs": true,
"question": "What is the date of death of the composer of film Ayal Kadha Ezhuthukayanu?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The numbers $96, 28, 6, 20$ were written on the board. One of them was multiplied, another was divided, another was increased, and another was decreased by the same number. As a result, all the numbers became equal to a single number. What is that number?",
"role": "user"
}
] |
math
|
{
"ground_truth": "24",
"style": "rule"
}
|
{
"index": 5106,
"need_tools_kwargs": true,
"question": "The numbers $96, 28, 6, 20$ were written on the board. One of them was multiplied, another was divided, another was increased, and another was decreased by the same number. As a result, all the numbers became equal to a single number. What is that 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": "Are both movies, Karakolda Ayna Var and Who Are You? (Film), from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 5107,
"need_tools_kwargs": true,
"question": "Are both movies, Karakolda Ayna Var and Who Are You? (Film), 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": "When is the director of film Mon Amie Victoria 's birthday?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "24 December 1964",
"style": "rule"
}
|
{
"index": 5108,
"need_tools_kwargs": true,
"question": "When is the director of film Mon Amie Victoria '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": "[list=1]\n[*] If $a$ , $b$ , $c$ , $d > 0$ , show inequality: $$ \\left(\\tan^{-1}\\left(\\frac{ad-bc}{ac+bd}\\right)\\right)^2\\geq 2\\left(1-\\frac{ac+bd}{\\sqrt{\\left(a^2+b^2\\right)\\left(c^2+d^2\\right)}}\\right) $$ [*] Calculate $$ \\lim \\limits_{n \\to \\infty}n^{\\alpha}\\left(n- \\sum \\limits_{k=1}^n\\frac{n^+k^2-k}{\\sqrt{\\left(n^2+k^2\\right)\\left(n^2+(k-1)^2\\right)}}\\right) $$ where $\\alpha \\in \\mathbb{R}$ [/list]",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"index": 5109,
"need_tools_kwargs": true,
"question": "[list=1]\n[*] If $a$ , $b$ , $c$ , $d > 0$ , show inequality: $$ \\left(\\tan^{-1}\\left(\\frac{ad-bc}{ac+bd}\\right)\\right)^2\\geq 2\\left(1-\\frac{ac+bd}{\\sqrt{\\left(a^2+b^2\\right)\\left(c^2+d^2\\right)}}\\right) $$ [*] Calculate $$ \\lim \\limits_{n \\to \\infty}n^{\\alpha}\\left(n- \\sum \\limits_{k=1}^n\\frac{n^+k^2-k}{\\sqrt{\\left(n^2+k^2\\right)\\left(n^2+(k-1)^2\\right)}}\\right) $$ where $\\alpha \\in \\mathbb{R}$ [/list]",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Players \\( A \\), \\( B \\), \\( C \\), and \\( D \\) start a game with \\( 20 \\), \\( 19 \\), \\( 18 \\), and \\( 17 \\) tokens respectively. The game's rule is that in each round, the player with the most tokens gives one token to each of the other three players and places one token into the discard pile. The game ends when any player runs out of tokens. Determine how many rounds will be played in this game.",
"role": "user"
}
] |
math
|
{
"ground_truth": "65",
"style": "rule"
}
|
{
"index": 5110,
"need_tools_kwargs": true,
"question": "Players \\( A \\), \\( B \\), \\( C \\), and \\( D \\) start a game with \\( 20 \\), \\( 19 \\), \\( 18 \\), and \\( 17 \\) tokens respectively. The game's rule is that in each round, the player with the most tokens gives one token to each of the other three players and places one token into the discard pile. The game ends when any player runs out of tokens. Determine how many rounds will be played in this game.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Each of the $2001$ students at a high school studies either Spanish or French, and some study both. The number who study Spanish is between $80$ percent and $85$ percent of the school population, and the number who study French is between $30$ percent and $40$ percent. Let $m$ be the smallest number of students who could study both languages, and let $M$ be the largest number of students who could study both languages. Find $M-m$.\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "298",
"style": "rule"
}
|
{
"index": 5111,
"need_tools_kwargs": true,
"question": "Each of the $2001$ students at a high school studies either Spanish or French, and some study both. The number who study Spanish is between $80$ percent and $85$ percent of the school population, and the number who study French is between $30$ percent and $40$ percent. Let $m$ be the smallest number of students who could study both languages, and let $M$ be the largest number of students who could study both languages. Find $M-m$.\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": "Let \\(f(x)=2 x(1-x), x \\in \\mathbb{R}\\). Define \\(f_{n}=\\overbrace{f \\circ \\ldots \\circ f}^{n}\\). a) Find \\(\\lim _{n \\rightarrow \\infty} \\int_{0}^{1} f_{n}(x) d x\\). The original answer is in \\(\\frac{k}{m}\\) format, please give the value of \\(k + m\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 5112,
"need_tools_kwargs": true,
"question": "Let \\(f(x)=2 x(1-x), x \\in \\mathbb{R}\\). Define \\(f_{n}=\\overbrace{f \\circ \\ldots \\circ f}^{n}\\). a) Find \\(\\lim _{n \\rightarrow \\infty} \\int_{0}^{1} f_{n}(x) d x\\). The original answer is in \\(\\frac{k}{m}\\) format, please give the value of \\(k + 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": "The integers 195 and 61 are expressed in base 4 and added. What is the resulting sum, expressed in base 4?",
"role": "user"
}
] |
math
|
{
"ground_truth": "10000_4",
"style": "rule"
}
|
{
"index": 5113,
"need_tools_kwargs": true,
"question": "The integers 195 and 61 are expressed in base 4 and added. What is the resulting sum, expressed in base 4?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "已知 $n \\geqslant 3\\left(n \\in \\mathbf{Z}_{+}\\right), n$ 个两两互素的正整数 $a_{1}, a_{2}, \\cdots, a_{n}$ 满足：可以适当添加 \" + \"或\" - \"使它们的代数和为 0 。问：是否存在一组正整数 $b_{1}, b_{2}, \\cdots, b_{n}$ （允许相同），使得对任意正整数 $k, b_{1}+k a_{1}, b_{2}+k a_{2}, \\cdots, b_{n}+$ $k a_{n}$ 两两互素? 请给出最小的 n 值使得存在这样的整数集合。",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 5114,
"need_tools_kwargs": true,
"question": "已知 $n \\geqslant 3\\left(n \\in \\mathbf{Z}_{+}\\right), n$ 个两两互素的正整数 $a_{1}, a_{2}, \\cdots, a_{n}$ 满足：可以适当添加 \" + \"或\" - \"使它们的代数和为 0 。问：是否存在一组正整数 $b_{1}, b_{2}, \\cdots, b_{n}$ （允许相同），使得对任意正整数 $k, b_{1}+k a_{1}, b_{2}+k a_{2}, \\cdots, b_{n}+$ $k a_{n}$ 两两互素? 请给出最小的 n 值使得存在这样的整数集合。",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What was the venue where UFC 191 was held originally called?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "MGM Grand Garden Special Events Center",
"style": "rule"
}
|
{
"index": 5115,
"need_tools_kwargs": true,
"question": "What was the venue where UFC 191 was held originally called?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 cared for the castle with which was the caput of Lord of Liddesdale?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Historic Scotland",
"style": "rule"
}
|
{
"index": 5116,
"need_tools_kwargs": true,
"question": "Who cared for the castle with which was the caput of Lord of Liddesdale?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "If 10 litres of an oil of rs . 50 per litres be mixed with 5 litres of another oil of rs . 66 per litre, then what is the rate of mixed oil per litre?",
"role": "user"
}
] |
math
|
{
"ground_truth": "55.33",
"style": "rule"
}
|
{
"index": 5117,
"need_tools_kwargs": true,
"question": "If 10 litres of an oil of rs . 50 per litres be mixed with 5 litres of another oil of rs . 66 per litre, then what is the rate of mixed oil per litre?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which country the composer of song A Dreamer'S Holiday is from?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American",
"style": "rule"
}
|
{
"index": 5118,
"need_tools_kwargs": true,
"question": "Which country the composer of song A Dreamer'S Holiday is from?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the area of the country for which Facinet Keita was the flag bearer for the 2012 Summer Olympics?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "245,860 km2",
"style": "rule"
}
|
{
"index": 5119,
"need_tools_kwargs": true,
"question": "What is the area of the country for which Facinet Keita was the flag bearer for the 2012 Summer Olympics?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given the line $y = \\dfrac{3}{4}x + 6$ and a line $L$ parallel to the given line and $4$ units from it. A possible equation for $L$ is:\n$\\textbf{(A)}\\ y =\\frac{3}{4}x+1\\qquad \\textbf{(B)}\\ y =\\frac{3}{4}x\\qquad \\textbf{(C)}\\ y =\\frac{3}{4}x-\\frac{2}{3}\\qquad \\\\ \\textbf{(D)}\\ y = \\dfrac{3}{4}x -1 \\qquad \\textbf{(E)}\\ y = \\dfrac{3}{4}x + 2$",
"role": "user"
}
] |
math
|
{
"ground_truth": "y = \\frac{3}{4}x + 2",
"style": "rule"
}
|
{
"index": 5120,
"need_tools_kwargs": true,
"question": "Given the line $y = \\dfrac{3}{4}x + 6$ and a line $L$ parallel to the given line and $4$ units from it. A possible equation for $L$ is:\n$\\textbf{(A)}\\ y =\\frac{3}{4}x+1\\qquad \\textbf{(B)}\\ y =\\frac{3}{4}x\\qquad \\textbf{(C)}\\ y =\\frac{3}{4}x-\\frac{2}{3}\\qquad \\\\ \\textbf{(D)}\\ y = \\dfrac{3}{4}x -1 \\qquad \\textbf{(E)}\\ y = \\dfrac{3}{4}x + 2$",
"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": "Let \\( z = \\frac{-1+i}{\\sqrt{2}} \\). Calculate the expression \n\n\\[\n\\left(z^{1^2} + z^{2^2} + z^{3^2} + \\dots + z^{10^2}\\right) \\cdot \\left(\\frac{1}{z^{1^2}} + \\frac{1}{z^{2^2}} + \\frac{1}{z^{3^2}} + \\dots + \\frac{1}{z^{10^2}}\\right).\n\\]",
"role": "user"
}
] |
math
|
{
"ground_truth": "25",
"style": "rule"
}
|
{
"index": 5121,
"need_tools_kwargs": true,
"question": "Let \\( z = \\frac{-1+i}{\\sqrt{2}} \\). Calculate the expression \n\n\\[\n\\left(z^{1^2} + z^{2^2} + z^{3^2} + \\dots + z^{10^2}\\right) \\cdot \\left(\\frac{1}{z^{1^2}} + \\frac{1}{z^{2^2}} + \\frac{1}{z^{3^2}} + \\dots + \\frac{1}{z^{10^2}}\\right).\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": "In the third year of high school, the class organized a fun sports competition. After multiple rounds of competition, Class A and Class B entered the finals. There were three events in the finals, with the winner of each event receiving 2 points and the loser receiving -1 point. There were no draws. The class with the highest total score after the three events would be the champion. It is known that the probabilities of Class A winning in the three events are 0.4, 0.5, and 0.8 respectively, and the results of each event are independent of each other. \n$(1)$ Find the probability of Class A winning the championship. \n$(2)$ Let $X$ represent the total score of Class B. Find the distribution table and expectation of $X$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "0.9",
"style": "rule"
}
|
{
"index": 5122,
"need_tools_kwargs": true,
"question": "In the third year of high school, the class organized a fun sports competition. After multiple rounds of competition, Class A and Class B entered the finals. There were three events in the finals, with the winner of each event receiving 2 points and the loser receiving -1 point. There were no draws. The class with the highest total score after the three events would be the champion. It is known that the probabilities of Class A winning in the three events are 0.4, 0.5, and 0.8 respectively, and the results of each event are independent of each other. \n$(1)$ Find the probability of Class A winning the championship. \n$(2)$ Let $X$ represent the total score of Class B. Find the distribution table and expectation 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": "Find the value of the arithmetic series $1-3+5-7+9-11+\\cdots +2021-2023+2025$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "1013",
"style": "rule"
}
|
{
"index": 5123,
"need_tools_kwargs": true,
"question": "Find the value of the arithmetic series $1-3+5-7+9-11+\\cdots +2021-2023+2025$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Genk Railway Station and Gare De Roissy-En-Brie located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 5124,
"need_tools_kwargs": true,
"question": "Are both Genk Railway Station and Gare De Roissy-En-Brie 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 born name of guitarist (formerly bassist) of the band, one of whose founding members is Chris Holmes?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Steven Edward Duren",
"style": "rule"
}
|
{
"index": 5125,
"need_tools_kwargs": true,
"question": "What is the born name of guitarist (formerly bassist) of the band, one of whose founding members is Chris Holmes?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Simplify the expression:\n\\[\n\\sin^2 x + \\sin^2 (x + y) + 2 \\sin x \\sin y \\sin (x + y).\n\\]",
"role": "user"
}
] |
math
|
{
"ground_truth": "2 - \\cos^2 x - \\cos^2 (x + y)",
"style": "rule"
}
|
{
"index": 5126,
"need_tools_kwargs": true,
"question": "Simplify the expression:\n\\[\n\\sin^2 x + \\sin^2 (x + y) + 2 \\sin x \\sin y \\sin (x + y).\n\\]",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the story line of the movie Chicken Little?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "a chicken who believes the world is coming to an end",
"style": "rule"
}
|
{
"index": 5127,
"need_tools_kwargs": true,
"question": "What is the story line of the movie Chicken Little?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In $\\triangle ABC$ with integer side lengths, $\\cos A = \\frac{11}{16}$, $\\cos B = \\frac{7}{8}$, and $\\cos C = -\\frac{1}{4}$. What is the least possible perimeter for $\\triangle ABC$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "9",
"style": "rule"
}
|
{
"index": 5128,
"need_tools_kwargs": true,
"question": "In $\\triangle ABC$ with integer side lengths, $\\cos A = \\frac{11}{16}$, $\\cos B = \\frac{7}{8}$, and $\\cos C = -\\frac{1}{4}$. What is the least possible perimeter for $\\triangle ABC$?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 graph of the quadratic function \\(y = g(x)\\) defined by \\(g(x) = \\frac{x^2}{2} - x - 2\\). The distance between grid lines is 1 unit.\n\nFind the sum of all distinct numbers \\(x\\) such that \\(g(g(g(x))) = -2\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"index": 5129,
"need_tools_kwargs": true,
"question": "Consider the graph of the quadratic function \\(y = g(x)\\) defined by \\(g(x) = \\frac{x^2}{2} - x - 2\\). The distance between grid lines is 1 unit.\n\nFind the sum of all distinct numbers \\(x\\) such that \\(g(g(g(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": "Suppose $ab = p$, $bc = q$, and $ca = r$, and none of these quantities is $0$. Find the value of $a^2 + b^2 + c^2$.\nA. $1$\nB. $2$\nC. $3$\nD. $\\frac{1}{pqr}$",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"index": 5130,
"need_tools_kwargs": true,
"question": "Suppose $ab = p$, $bc = q$, and $ca = r$, and none of these quantities is $0$. Find the value of $a^2 + b^2 + c^2$.\nA. $1$\nB. $2$\nC. $3$\nD. $\\frac{1}{pqr}$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 minimum value of $\\max _{x \\in[0,4]}\\left\\{\\left|(x-2)^{3}+a x+b\\right|\\right\\}$ for $a, b \\in \\mathbf{R}$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 5131,
"need_tools_kwargs": true,
"question": "Find the minimum value of $\\max _{x \\in[0,4]}\\left\\{\\left|(x-2)^{3}+a x+b\\right|\\right\\}$ for $a, b \\in \\mathbf{R}$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the place of birth of Jacques Cassini's father?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Perinaldo",
"style": "rule"
}
|
{
"index": 5132,
"need_tools_kwargs": true,
"question": "What is the place of birth of Jacques Cassini'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": "函数 $f(x)=8\\sqrt{15}(7 \\sin x+\\sin 2 x)$ 的最大值为 $\\qquad$",
"role": "user"
}
] |
math
|
{
"ground_truth": "225",
"style": "rule"
}
|
{
"index": 5133,
"need_tools_kwargs": true,
"question": "函数 $f(x)=8\\sqrt{15}(7 \\sin x+\\sin 2 x)$ 的最大值为 $\\qquad$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In a certain sequence, the first term is \\( a_1 = 2010 \\) and the second term is \\( a_2 = 2011 \\). Furthermore, the values of the remaining terms are chosen so that\n\\[ a_n + a_{n + 1} + a_{n + 2} = 3n + 1 \\] for all \\( n \\ge 1 \\). Determine \\( a_{1000} \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "3009",
"style": "rule"
}
|
{
"index": 5134,
"need_tools_kwargs": true,
"question": "In a certain sequence, the first term is \\( a_1 = 2010 \\) and the second term is \\( a_2 = 2011 \\). Furthermore, the values of the remaining terms are chosen so that\n\\[ a_n + a_{n + 1} + a_{n + 2} = 3n + 1 \\] for all \\( n \\ge 1 \\). Determine \\( 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": "给定整数 \\( n \\geq 2 \\)。在一座山上有 \\( n^2 \\) 个高度互不相同的缆车车站。有两家缆车公司 A 和 B，各运营 \\( k \\) 辆缆车；每辆从一个车站运行到某个更高的车站（中间不停留其他车站）。A 公司的 \\( k \\) 辆缆车的 \\( k \\) 个起点互不相同，\\( k \\) 个终点也互不相同，并且起点较高的缆车，它的终点也较高。B 公司的缆车也满足相同的条件。称两个车站被某个公司连接，如果可以从其中较低的车站通过该公司的一辆或多辆缆车到达较高的车站（中间不允许在车站之间有其他移动）。求最小的正整数 \\( k \\)，使得一定有两个车站被两个公司同时连接。答案的形式为 \\( an^2 + bn + c \\)，请给出 \\( a + b + c \\) 的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"index": 5135,
"need_tools_kwargs": true,
"question": "给定整数 \\( n \\geq 2 \\)。在一座山上有 \\( n^2 \\) 个高度互不相同的缆车车站。有两家缆车公司 A 和 B，各运营 \\( k \\) 辆缆车；每辆从一个车站运行到某个更高的车站（中间不停留其他车站）。A 公司的 \\( k \\) 辆缆车的 \\( k \\) 个起点互不相同，\\( k \\) 个终点也互不相同，并且起点较高的缆车，它的终点也较高。B 公司的缆车也满足相同的条件。称两个车站被某个公司连接，如果可以从其中较低的车站通过该公司的一辆或多辆缆车到达较高的车站（中间不允许在车站之间有其他移动）。求最小的正整数 \\( k \\)，使得一定有两个车站被两个公司同时连接。答案的形式为 \\( an^2 + bn + c \\)，请给出 \\( a + b + c \\) 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": "John's dog has a litter of 8 puppies. He gives away half of them. He keeps one of the remaining puppies. He then takes the remaining puppies and sells them each for $600. He had to give the owner of the stud some money. He profits $1500. How much did he give to the owner of the stud?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\$300",
"style": "rule"
}
|
{
"index": 5136,
"need_tools_kwargs": true,
"question": "John's dog has a litter of 8 puppies. He gives away half of them. He keeps one of the remaining puppies. He then takes the remaining puppies and sells them each for $600. He had to give the owner of the stud some money. He profits $1500. How much did he give to the owner of the stud?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Martian civilization, all logarithms whose bases are not specified are assumed to be base $b$ , for some fixed $b\\ge2$ . A Martian student writes down \\[3\\log(\\sqrt{x}\\log x)=56\\] \\[\\log_{\\log x}(x)=54\\] and finds that this system of equations has a single real number solution $x>1$ . Find $b$ .",
"role": "user"
}
] |
math
|
{
"ground_truth": "216",
"style": "rule"
}
|
{
"index": 5137,
"need_tools_kwargs": true,
"question": "In a Martian civilization, all logarithms whose bases are not specified are assumed to be base $b$ , for some fixed $b\\ge2$ . A Martian student writes down \\[3\\log(\\sqrt{x}\\log x)=56\\] \\[\\log_{\\log x}(x)=54\\] and finds that this system of equations has a single real number solution $x>1$ . Find $b$ .",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Did the movies Paracelsus (Film) and Kamagni, originate from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 5138,
"need_tools_kwargs": true,
"question": "Did the movies Paracelsus (Film) and Kamagni, originate 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": "Are director of film A Glass Of Beer and director of film All For Gold, Or Jumping The Claim both from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 5139,
"need_tools_kwargs": true,
"question": "Are director of film A Glass Of Beer and director of film All For Gold, Or Jumping The Claim both from the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What soccer player has played for both Sampdoria and Pescara?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Hugo Campagnaro",
"style": "rule"
}
|
{
"index": 5140,
"need_tools_kwargs": true,
"question": "What soccer player has played for both Sampdoria and Pescara?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 a Danish and American comedian, conductor, and pianist died who hadgreat popularity in radio and television in the United States and Europe in 1950s?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "23 December 2000",
"style": "rule"
}
|
{
"index": 5141,
"need_tools_kwargs": true,
"question": "When did a Danish and American comedian, conductor, and pianist died who hadgreat popularity in radio and television in the United States and Europe in 1950s?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where was the director of film Du Barry Was A Lady (Film) born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Delaware",
"style": "rule"
}
|
{
"index": 5142,
"need_tools_kwargs": true,
"question": "Where was the director of film Du Barry Was A Lady (Film) born?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The Congress of Afrikan people which later became the Revolutionary Communist League was lead by an African-American writer who recieved the PAN Open Book Award in 2008 for what?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Tales of the Out and the Gone",
"style": "rule"
}
|
{
"index": 5143,
"need_tools_kwargs": true,
"question": "The Congress of Afrikan people which later became the Revolutionary Communist League was lead by an African-American writer who recieved the PAN Open Book Award in 2008 for what?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Do director of film Fuck (film) and director of film The Magic Touch (film) have the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 5144,
"need_tools_kwargs": true,
"question": "Do director of film Fuck (film) and director of film The Magic Touch (film) have 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": "Four cubes with edge lengths $2$, $3$, $4$, and $5$ are stacked vertically. Point $X$ is at the bottom vertex of the first cube, and point $Y$ is located at $(5, 5, 14)$. Determine the length of the segment $\\overline{XY}$ that is contained entirely within the cube of edge length $4$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "4\\sqrt{3}",
"style": "rule"
}
|
{
"index": 5145,
"need_tools_kwargs": true,
"question": "Four cubes with edge lengths $2$, $3$, $4$, and $5$ are stacked vertically. Point $X$ is at the bottom vertex of the first cube, and point $Y$ is located at $(5, 5, 14)$. Determine the length of the segment $\\overline{XY}$ that is contained entirely within the cube of edge length $4$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $A B C D$ be a convex quadrilateral whose diagonals $A C$ and $B D$ meet at $P$. Let the area of triangle $A P B$ be 24 and let the area of triangle $C P D$ be 25 . What is the minimum possible area of quadrilateral $A B C D ?$",
"role": "user"
}
] |
math
|
{
"ground_truth": "49+20 \\sqrt{6}",
"style": "rule"
}
|
{
"index": 5146,
"need_tools_kwargs": true,
"question": "Let $A B C D$ be a convex quadrilateral whose diagonals $A C$ and $B D$ meet at $P$. Let the area of triangle $A P B$ be 24 and let the area of triangle $C P D$ be 25 . What is the minimum possible area of quadrilateral $A B C D ?$",
"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": "Consider trapezoid \\( ABCD \\) where \\( AB \\) is parallel to \\( CD \\), with lengths \\( AB = 3 \\), \\( CD = 3 \\), and \\( DA = 3 \\). The angle \\( \\widehat{ADC} \\) measures \\( 120^\\circ \\). Calculate the measure of angle \\( \\widehat{CBA} \\) in degrees.",
"role": "user"
}
] |
math
|
{
"ground_truth": "30",
"style": "rule"
}
|
{
"index": 5147,
"need_tools_kwargs": true,
"question": "Consider trapezoid \\( ABCD \\) where \\( AB \\) is parallel to \\( CD \\), with lengths \\( AB = 3 \\), \\( CD = 3 \\), and \\( DA = 3 \\). The angle \\( \\widehat{ADC} \\) measures \\( 120^\\circ \\). Calculate the measure of angle \\( \\widehat{CBA} \\) in degrees.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 buys cans of soup for buy 1 get one free. He gets 30 cans with a certain price. He pays $9. What is the normal price of each can of soup?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\$0.60",
"style": "rule"
}
|
{
"index": 5148,
"need_tools_kwargs": true,
"question": "John buys cans of soup for buy 1 get one free. He gets 30 cans with a certain price. He pays $9. What is the normal price of each can of soup?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Emamiyeh, Golestan and Amid, West Azerbaijan located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 5149,
"need_tools_kwargs": true,
"question": "Are Emamiyeh, Golestan and Amid, West Azerbaijan 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": "In the Cartesian coordinate system, with the origin \\\\(O\\\\) as the pole and the positive half-axis of the \\\\(x\\\\)-axis as the polar axis, a polar coordinate system is established. It is known that the polar equation of curve \\\\(C\\\\) is \\\\(\\rho=4\\cos \\theta\\\\), and the rectangular coordinate equation of curve \\\\(M\\\\) is \\\\(x-2y+2=0\\\\) (\\\\(x > 0\\\\)).\n\n \\\\((1)\\\\) Using the slope \\\\(k\\\\) of the line connecting points on curve \\\\(M\\\\) to point \\\\(O\\\\) as a parameter, write the parametric equation of curve \\\\(M\\\\);\n\n \\\\((2)\\\\) Suppose the two intersection points of curve \\\\(C\\\\) and curve \\\\(M\\\\) are \\\\(A\\\\) and \\\\(B\\\\), find the sum of the slopes of lines \\\\(OA\\\\) and \\\\(OB\\\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"index": 5150,
"need_tools_kwargs": true,
"question": "In the Cartesian coordinate system, with the origin \\\\(O\\\\) as the pole and the positive half-axis of the \\\\(x\\\\)-axis as the polar axis, a polar coordinate system is established. It is known that the polar equation of curve \\\\(C\\\\) is \\\\(\\rho=4\\cos \\theta\\\\), and the rectangular coordinate equation of curve \\\\(M\\\\) is \\\\(x-2y+2=0\\\\) (\\\\(x > 0\\\\)).\n\n \\\\((1)\\\\) Using the slope \\\\(k\\\\) of the line connecting points on curve \\\\(M\\\\) to point \\\\(O\\\\) as a parameter, write the parametric equation of curve \\\\(M\\\\);\n\n \\\\((2)\\\\) Suppose the two intersection points of curve \\\\(C\\\\) and curve \\\\(M\\\\) are \\\\(A\\\\) and \\\\(B\\\\), find the sum of the slopes of lines \\\\(OA\\\\) and \\\\(OB\\\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 isosceles triangle $ABC$, angle $BAC$ and angle $BCA$ measure 35 degrees. What is the measure of angle $CDA$? [asy]\nimport olympiad; import geometry; size(125); defaultpen(linewidth(0.8));\ndraw(circle((0,0),1));\ndot(\"$F$\",(0,0),dir(-90));\npair A = dir(160), B = dir(110), C = dir(40), D = dir(10);\ndraw(A--D--C--A--B--C);\nlabel(\"$A$\",A,W); label(\"$B$\",B,N); label(\"$C$\",C,E); label(\"$D$\",D,E);\n[/asy]",
"role": "user"
}
] |
math
|
{
"ground_truth": "70",
"style": "rule"
}
|
{
"index": 5151,
"need_tools_kwargs": true,
"question": "In isosceles triangle $ABC$, angle $BAC$ and angle $BCA$ measure 35 degrees. What is the measure of angle $CDA$? [asy]\nimport olympiad; import geometry; size(125); defaultpen(linewidth(0.8));\ndraw(circle((0,0),1));\ndot(\"$F$\",(0,0),dir(-90));\npair A = dir(160), B = dir(110), C = dir(40), D = dir(10);\ndraw(A--D--C--A--B--C);\nlabel(\"$A$\",A,W); label(\"$B$\",B,N); label(\"$C$\",C,E); label(\"$D$\",D,E);\n[/asy]",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Arrange the numbers from 1 to 6 (each number must be used exactly once) in positions labeled \\(A\\) through \\(F\\) such that the sum of the three numbers located on each of the 7 lines is equal to 15. Write down the values that should be placed at positions \\(A\\), \\(B\\), \\(C\\), \\(D\\), \\(E\\), and \\(F\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 5152,
"need_tools_kwargs": true,
"question": "Arrange the numbers from 1 to 6 (each number must be used exactly once) in positions labeled \\(A\\) through \\(F\\) such that the sum of the three numbers located on each of the 7 lines is equal to 15. Write down the values that should be placed at positions \\(A\\), \\(B\\), \\(C\\), \\(D\\), \\(E\\), and \\(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": "Are both Baviyeh, Hormozgan and Tangab-E Shur located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 5153,
"need_tools_kwargs": true,
"question": "Are both Baviyeh, Hormozgan and Tangab-E Shur 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 death of Hedwig Jagiellon, Duchess Of Bavaria's mother?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "30 August 1505",
"style": "rule"
}
|
{
"index": 5154,
"need_tools_kwargs": true,
"question": "What is the date of death of Hedwig Jagiellon, Duchess Of Bavaria's mother?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which film has the director born first, Fate'S Plaything or Goodbye Gemini?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Fate'S Plaything",
"style": "rule"
}
|
{
"index": 5155,
"need_tools_kwargs": true,
"question": "Which film has the director born first, Fate'S Plaything or Goodbye Gemini?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 finite increasing sequence \\(a_{1}, a_{2}, \\ldots, a_{n}\\) of natural numbers is given, where \\(n \\geq 3\\), and for all \\(k \\leq n-2\\) the following equality holds: \\(a_{k+2} = 3a_{k+1} - 2a_{k} - 2\\). The sequence must include \\(a_{k} = 2022\\). Determine the maximum number of three-digit numbers, divisible by 4, that this sequence can contain.",
"role": "user"
}
] |
math
|
{
"ground_truth": "225",
"style": "rule"
}
|
{
"index": 5156,
"need_tools_kwargs": true,
"question": "A finite increasing sequence \\(a_{1}, a_{2}, \\ldots, a_{n}\\) of natural numbers is given, where \\(n \\geq 3\\), and for all \\(k \\leq n-2\\) the following equality holds: \\(a_{k+2} = 3a_{k+1} - 2a_{k} - 2\\). The sequence must include \\(a_{k} = 2022\\). Determine the maximum number of three-digit numbers, divisible by 4, that this sequence can contain.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 domain of the function $f(x) = \\arcsin(\\log_{m}(nx))$ is a closed interval of length $\\frac{1}{4033}$, where $m$ and $n$ are positive integers and $m>1$. Find the smallest possible value of $m+n.$",
"role": "user"
}
] |
math
|
{
"ground_truth": "48421",
"style": "rule"
}
|
{
"index": 5157,
"need_tools_kwargs": true,
"question": "The domain of the function $f(x) = \\arcsin(\\log_{m}(nx))$ is a closed interval of length $\\frac{1}{4033}$, where $m$ and $n$ are positive integers and $m>1$. Find the smallest possible value of $m+n.$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Determine the maximum number of sides a convex polygon can have if it contains exactly three obtuse interior angles.",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
|
{
"index": 5158,
"need_tools_kwargs": true,
"question": "Determine the maximum number of sides a convex polygon can have if it contains exactly three obtuse interior angles.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where was the performer of song What I'M For (Song) born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "San Antonio, Texas",
"style": "rule"
}
|
{
"index": 5159,
"need_tools_kwargs": true,
"question": "Where was the performer of song What I'M For (Song) 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": "When did the director of film Red Sky At Morning (1971 Film) die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "November 5, 1999",
"style": "rule"
}
|
{
"index": 5160,
"need_tools_kwargs": true,
"question": "When did the director of film Red Sky At Morning (1971 Film) 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": "Assign the values 2, 3, 4, and 5 to the letters \\( V, W, X, \\) and \\( Y \\) such that the expression \\( Y^{X} - W^{V} \\) is maximized. What is the value of \\( X + V \\)?",
"role": "user"
}
] |
math
|
{
"ground_truth": "8",
"style": "rule"
}
|
{
"index": 5161,
"need_tools_kwargs": true,
"question": "Assign the values 2, 3, 4, and 5 to the letters \\( V, W, X, \\) and \\( Y \\) such that the expression \\( Y^{X} - W^{V} \\) is maximized. What is the value of \\( X + V \\)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Bobbi Baker and John Nimmo (Cricketer) of the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 5162,
"need_tools_kwargs": true,
"question": "Are Bobbi Baker and John Nimmo (Cricketer) of the same nationality?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Consider a \"domino,\" which is made up of two small squares. You have several checkerboards of different dimensions. Determine which of the following checkerboards cannot be covered exactly and completely by a whole number of non-overlapping dominoes. Explain your reasoning.\n\n1. A 3x4 board\n2. A 3x5 board\n3. A 4x4 board\n4. A 4x5 board\n5. A 6x3 board",
"role": "user"
}
] |
math
|
{
"ground_truth": "3\\times5",
"style": "rule"
}
|
{
"index": 5163,
"need_tools_kwargs": true,
"question": "Consider a \"domino,\" which is made up of two small squares. You have several checkerboards of different dimensions. Determine which of the following checkerboards cannot be covered exactly and completely by a whole number of non-overlapping dominoes. Explain your reasoning.\n\n1. A 3x4 board\n2. A 3x5 board\n3. A 4x4 board\n4. A 4x5 board\n5. A 6x3 board",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 test, \\( 3n \\) students participate, who are located in three rows of \\( n \\) students in each. The students leave the test room one by one. If \\( N_{1}(t), N_{2}(t), N_{3}(t) \\) denote the numbers of students in the first, second, and third row respectively at time \\( t \\), find the probability that for each \\( t \\) during the test,\n$$\n|N_{i}(t) - N_{j}(t)| < 2, \\quad i \\neq j, \\quad i, j = 1, 2, \\ldots.\n$$",
"role": "user"
}
] |
math
|
{
"ground_truth": " \\frac{(3!)^n \\cdot (n!)^3}{(3n)!} ",
"style": "rule"
}
|
{
"index": 5164,
"need_tools_kwargs": true,
"question": "In a test, \\( 3n \\) students participate, who are located in three rows of \\( n \\) students in each. The students leave the test room one by one. If \\( N_{1}(t), N_{2}(t), N_{3}(t) \\) denote the numbers of students in the first, second, and third row respectively at time \\( t \\), find the probability that for each \\( t \\) during the test,\n$$\n|N_{i}(t) - N_{j}(t)| < 2, \\quad i \\neq j, \\quad i, j = 1, 2, \\ldots.\n$$",
"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 constants $\\alpha$ and $\\beta$ such that $\\frac{x-\\alpha}{x+\\beta} = \\frac{x^2-80x+1551}{x^2+57x-2970}$. What is $\\alpha+\\beta$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "137",
"style": "rule"
}
|
{
"index": 5165,
"need_tools_kwargs": true,
"question": "There are constants $\\alpha$ and $\\beta$ such that $\\frac{x-\\alpha}{x+\\beta} = \\frac{x^2-80x+1551}{x^2+57x-2970}$. What is $\\alpha+\\beta$?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What Small native cat to North and South America did Carl B. Koford make studies on in the 50's and 70's?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Jaguarundi",
"style": "rule"
}
|
{
"index": 5166,
"need_tools_kwargs": true,
"question": "What Small native cat to North and South America did Carl B. Koford make studies on in the 50's and 70's?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 cities are the headquarters for the company that owns Avra Valley Solar Generating Station?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "West Windsor Township, New Jersey, and Houston, Texas",
"style": "rule"
}
|
{
"index": 5167,
"need_tools_kwargs": true,
"question": "What cities are the headquarters for the company that owns Avra Valley Solar Generating Station?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 home of archeologist Frans Blom has a non-profit organization for people that live in what jungle?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Lacandon Jungle",
"style": "rule"
}
|
{
"index": 5168,
"need_tools_kwargs": true,
"question": "The home of archeologist Frans Blom has a non-profit organization for people that live in what jungle?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 store purchased a batch of greeting cards at the price of 0.21 yuan each and sold them for a total of 14.57 yuan. If each card is sold at the same price and the selling price does not exceed twice the purchase price, how much did the store profit?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4.7",
"style": "rule"
}
|
{
"index": 5169,
"need_tools_kwargs": true,
"question": "The store purchased a batch of greeting cards at the price of 0.21 yuan each and sold them for a total of 14.57 yuan. If each card is sold at the same price and the selling price does not exceed twice the purchase price, how much did the store profit?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The creator Ed Edd n Eddy also created the title screen opening for what program?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Cartoon Sushi",
"style": "rule"
}
|
{
"index": 5170,
"need_tools_kwargs": true,
"question": "The creator Ed Edd n Eddy also created the title screen opening for what program?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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, Rock Haven (Film) or F.T.A.?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "F.T.A.",
"style": "rule"
}
|
{
"index": 5171,
"need_tools_kwargs": true,
"question": "Which film came out first, Rock Haven (Film) or F.T.A.?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who is the spouse of the person who made The Circe Invidiosa?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Esther Kenworthy Waterhouse",
"style": "rule"
}
|
{
"index": 5172,
"need_tools_kwargs": true,
"question": "Who is the spouse of the person who made The Circe Invidiosa?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 fronts a band named after a character in a 1961 Joseph Heller novel?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Jordan Jeffares",
"style": "rule"
}
|
{
"index": 5173,
"need_tools_kwargs": true,
"question": "Who fronts a band named after a character in a 1961 Joseph Heller novel?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Holiday Affair?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American",
"style": "rule"
}
|
{
"index": 5174,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Holiday Affair?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 the movies The Butterfly Tree and The Paliser Case, originate from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 5175,
"need_tools_kwargs": true,
"question": "Do the movies The Butterfly Tree and The Paliser Case, originate from the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of death of Henry Iv, Count Of Luxembourg's father?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "19 August 1139",
"style": "rule"
}
|
{
"index": 5176,
"need_tools_kwargs": true,
"question": "What is the date of death of Henry Iv, Count Of Luxembourg'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": "The table below displays the grade distribution of the $30$ students in a mathematics class on the last two tests. For example, exactly one student received a 'D' on Test 1 and a 'C' on Test 2 (see circled entry). What percent of the students received the same grade on both tests?\n\n$\\text{(A)}\\ 12\\% \\qquad \\text{(B)}\\ 25\\% \\qquad \\text{(C)}\\ 33\\frac{1}{3}\\% \\qquad \\text{(D)}\\ 40\\% \\qquad \\text{(E)}\\ 50\\%$",
"role": "user"
}
] |
math
|
{
"ground_truth": "40\\%",
"style": "rule"
}
|
{
"index": 5177,
"need_tools_kwargs": true,
"question": "The table below displays the grade distribution of the $30$ students in a mathematics class on the last two tests. For example, exactly one student received a 'D' on Test 1 and a 'C' on Test 2 (see circled entry). What percent of the students received the same grade on both tests?\n\n$\\text{(A)}\\ 12\\% \\qquad \\text{(B)}\\ 25\\% \\qquad \\text{(C)}\\ 33\\frac{1}{3}\\% \\qquad \\text{(D)}\\ 40\\% \\qquad \\text{(E)}\\ 50\\%$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 ray of light passing through the point $A = (-3,9,11),$ reflects off the plane $x + y + z = 12$ at $B,$ and then passes through the point $C = (3,5,9).$ Find the point $B.$\n\n[asy]\nimport three;\n\nsize(180);\ncurrentprojection = perspective(6,3,2);\n\ntriple A, B, C;\n\nA = (0,-0.5,0.5*1.5);\nB = (0,0,0);\nC = (0,0.8,0.8*1.5);\n\ndraw(surface((-1,-1,0)--(-1,1,0)--(1,1,0)--(1,-1,0)--cycle),paleyellow,nolight);\ndraw((-1,-1,0)--(-1,1,0)--(1,1,0)--(1,-1,0)--cycle);\ndraw(A--B--C,Arrow3(6));\n\nlabel(\"$A$\", A, NW);\nlabel(\"$B$\", B, S);\nlabel(\"$C$\", C, NE);\n[/asy]",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\left( -\\frac{5}{3}, \\frac{16}{3}, \\frac{25}{3} \\right)",
"style": "rule"
}
|
{
"index": 5178,
"need_tools_kwargs": true,
"question": "A ray of light passing through the point $A = (-3,9,11),$ reflects off the plane $x + y + z = 12$ at $B,$ and then passes through the point $C = (3,5,9).$ Find the point $B.$\n\n[asy]\nimport three;\n\nsize(180);\ncurrentprojection = perspective(6,3,2);\n\ntriple A, B, C;\n\nA = (0,-0.5,0.5*1.5);\nB = (0,0,0);\nC = (0,0.8,0.8*1.5);\n\ndraw(surface((-1,-1,0)--(-1,1,0)--(1,1,0)--(1,-1,0)--cycle),paleyellow,nolight);\ndraw((-1,-1,0)--(-1,1,0)--(1,1,0)--(1,-1,0)--cycle);\ndraw(A--B--C,Arrow3(6));\n\nlabel(\"$A$\", A, NW);\nlabel(\"$B$\", B, S);\nlabel(\"$C$\", C, NE);\n[/asy]",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Joel selected an acute angle $x$ (strictly between 0 and 90 degrees) and wrote the values of $\\sin x$, $\\cos x$, and $\\tan x$ on three different cards. Then he gave those cards to three students, Malvina, Paulina, and Georgina, one card to each, and asked them to figure out which trigonometric function (sin, cos, or tan) produced their cards. Even after sharing the values on their cards with each other, only Malvina was able to surely identify which function produced the value on her card. The original answer is in the form \\frac{k + \\sqrt{m}}{n}. Please compute the value of k + m+n.",
"role": "user"
}
] |
math
|
{
"ground_truth": "8",
"style": "rule"
}
|
{
"index": 5179,
"need_tools_kwargs": true,
"question": "Joel selected an acute angle $x$ (strictly between 0 and 90 degrees) and wrote the values of $\\sin x$, $\\cos x$, and $\\tan x$ on three different cards. Then he gave those cards to three students, Malvina, Paulina, and Georgina, one card to each, and asked them to figure out which trigonometric function (sin, cos, or tan) produced their cards. Even after sharing the values on their cards with each other, only Malvina was able to surely identify which function produced the value on her card. The original answer is in the form \\frac{k + \\sqrt{m}}{n}. Please compute the value of k + m+n.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which Earl was the Augustrus Legge, the Merton College graduate? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "2nd Earl of Dartmouth",
"style": "rule"
}
|
{
"index": 5180,
"need_tools_kwargs": true,
"question": "Which Earl was the Augustrus Legge, the Merton College graduate? ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Invisible Agent die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Los Angeles",
"style": "rule"
}
|
{
"index": 5181,
"need_tools_kwargs": true,
"question": "Where did the director of film Invisible Agent 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": "Where did the director of film The Moon And The Stars graduate from?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "London Film School",
"style": "rule"
}
|
{
"index": 5182,
"need_tools_kwargs": true,
"question": "Where did the director of film The Moon And The Stars graduate from?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Determine how many ordered pairs of integers \\((x, y)\\) satisfy the equation \n\\[\nx^2 + y^3 = y^2 + 2xy.\n\\]\nProvide a detailed explanation of your reasoning and calculations.",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 5183,
"need_tools_kwargs": true,
"question": "Determine how many ordered pairs of integers \\((x, y)\\) satisfy the equation \n\\[\nx^2 + y^3 = y^2 + 2xy.\n\\]\nProvide a detailed explanation of your reasoning and calculations.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where was the director of film As I Open My Eyes born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Tunis",
"style": "rule"
}
|
{
"index": 5184,
"need_tools_kwargs": true,
"question": "Where was the director of film As I Open My Eyes born?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Consider the function $f(x) = x^3 + 3\\sqrt{x}$. Evaluate $3f(3) - 2f(9)$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "-1395 + 9\\sqrt{3}",
"style": "rule"
}
|
{
"index": 5185,
"need_tools_kwargs": true,
"question": "Consider the function $f(x) = x^3 + 3\\sqrt{x}$. Evaluate $3f(3) - 2f(9)$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 1999 Animated Feature Film winner at the 5th Kecskemet Animation Film Festival featured the voice of American voice actress Diane Michelle?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Mickey's Once Upon a Christmas",
"style": "rule"
}
|
{
"index": 5186,
"need_tools_kwargs": true,
"question": "Which 1999 Animated Feature Film winner at the 5th Kecskemet Animation Film Festival featured the voice of American voice actress Diane Michelle?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 of the people featured in Tomorrow Tomorrow died on 12 January 2003? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Maurice Gibb",
"style": "rule"
}
|
{
"index": 5187,
"need_tools_kwargs": true,
"question": "Which of the people featured in Tomorrow Tomorrow died on 12 January 2003? ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 director of film Gulama and director of film Subarnarekha (Film) from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 5188,
"need_tools_kwargs": true,
"question": "Are both director of film Gulama and director of film Subarnarekha (Film) 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": "In the diagram, $ABCD$ is a square with side length $8$, and $WXYZ$ is a rectangle with $ZY=12$ and $XY=4$. Additionally, $AD$ and $WX$ are perpendicular. If the shaded area equals three-quarters of the area of $WXYZ$, what is the length of $DP$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4.5",
"style": "rule"
}
|
{
"index": 5189,
"need_tools_kwargs": true,
"question": "In the diagram, $ABCD$ is a square with side length $8$, and $WXYZ$ is a rectangle with $ZY=12$ and $XY=4$. Additionally, $AD$ and $WX$ are perpendicular. If the shaded area equals three-quarters of the area of $WXYZ$, what is the length of $DP$?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "If the function $f(x)= \\frac {1}{3}x^{3}- \\frac {1}{2}ax^{2}+(a-1)x+1$ is decreasing in the interval $(1,4)$ and increasing in the interval $(6,+\\infty)$, find the range of the real number $a$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "[5,7]",
"style": "rule"
}
|
{
"index": 5190,
"need_tools_kwargs": true,
"question": "If the function $f(x)= \\frac {1}{3}x^{3}- \\frac {1}{2}ax^{2}+(a-1)x+1$ is decreasing in the interval $(1,4)$ and increasing in the interval $(6,+\\infty)$, find the range of the real number $a$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What radio station has Darina Allen's daughter-in-law often appeared on?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Raidió Teilifís Éireann",
"style": "rule"
}
|
{
"index": 5191,
"need_tools_kwargs": true,
"question": "What radio station has Darina Allen's daughter-in-law often appeared on?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What year was The Reichskommissariat Niederlande set up?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1938",
"style": "rule"
}
|
{
"index": 5192,
"need_tools_kwargs": true,
"question": "What year was The Reichskommissariat Niederlande set up?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 year was this Italian design and manufacturing company founded that built Air Race, one of Dreamworld's Big 9 Thrill Rides, at Pandamonium?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1966",
"style": "rule"
}
|
{
"index": 5193,
"need_tools_kwargs": true,
"question": "In which year was this Italian design and manufacturing company founded that built Air Race, one of Dreamworld's Big 9 Thrill Rides, at Pandamonium?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 man who pardoned Yehoshua Ben-Zion born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "16 May 1916",
"style": "rule"
}
|
{
"index": 5194,
"need_tools_kwargs": true,
"question": "When was the man who pardoned Yehoshua Ben-Zion 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 do Daniel Nestor and Jana Novotná have in common?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "professional tennis player",
"style": "rule"
}
|
{
"index": 5195,
"need_tools_kwargs": true,
"question": "What do Daniel Nestor and Jana Novotná have in common?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given points \\( A = (3,9) \\), \\( B = (1,1) \\), and \\( C = (5,3) \\) in the first quadrant, point \\( D = (a,b) \\) is also a vertex of quadrilateral \\( ABCD \\). The quadrilateral formed by joining the midpoints of sides \\( \\overline{AB} \\), \\( \\overline{BC} \\), \\( \\overline{CD} \\), and \\( \\overline{DA} \\) is a square. Determine the coordinates of point \\( D \\) and find the sum of these coordinates.",
"role": "user"
}
] |
math
|
{
"ground_truth": "10",
"style": "rule"
}
|
{
"index": 5196,
"need_tools_kwargs": true,
"question": "Given points \\( A = (3,9) \\), \\( B = (1,1) \\), and \\( C = (5,3) \\) in the first quadrant, point \\( D = (a,b) \\) is also a vertex of quadrilateral \\( ABCD \\). The quadrilateral formed by joining the midpoints of sides \\( \\overline{AB} \\), \\( \\overline{BC} \\), \\( \\overline{CD} \\), and \\( \\overline{DA} \\) is a square. Determine the coordinates of point \\( D \\) and find the sum of these coordinates.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Did the TechCrunch article imply that Sam Bankman-Fried's actions were purely altruistic, in contrast to the Cnbc | World Business News Leader article which discusses his intentions regarding the structure of FTX's board?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 5197,
"need_tools_kwargs": true,
"question": "Did the TechCrunch article imply that Sam Bankman-Fried's actions were purely altruistic, in contrast to the Cnbc | World Business News Leader article which discusses his intentions regarding the structure of FTX's board?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Are The Naked Bunyip and Custer of the West both from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 5198,
"need_tools_kwargs": true,
"question": "Are The Naked Bunyip and Custer of the West both 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": "A number is multiplied by 99999, and the result is 65818408915. What is the number?",
"role": "user"
}
] |
math
|
{
"ground_truth": "658185",
"style": "rule"
}
|
{
"index": 5199,
"need_tools_kwargs": true,
"question": "A number is multiplied by 99999, and the result is 65818408915. What is the number?",
"split": "train"
}
| null |
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