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": "设 3 阶实对称矩阵 $A$ 的三个特征值分别为 $-1,-1,2$, 且 $(1,1,-1)^{T}$ 是特征值 2所对应的特征向量。记 $A$ 中所有元素的平方之和为 $I$, 则 $[I]=$ $\\qquad$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
|
{
"index": 3400,
"need_tools_kwargs": true,
"question": "设 3 阶实对称矩阵 $A$ 的三个特征值分别为 $-1,-1,2$, 且 $(1,1,-1)^{T}$ 是特征值 2所对应的特征向量。记 $A$ 中所有元素的平方之和为 $I$, 则 $[I]=$ $\\qquad$.",
"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": "What is another description for the subject of magazines published by Paul Raymond Publications?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "erotica",
"style": "rule"
}
|
{
"index": 3401,
"need_tools_kwargs": true,
"question": "What is another description for the subject of magazines published by Paul Raymond Publications?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 father of the artist of Bust of Francesco I d'Este?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Pietro Bernini",
"style": "rule"
}
|
{
"index": 3402,
"need_tools_kwargs": true,
"question": "Who is the father of the artist of Bust of Francesco I d'Este?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 greatest number of consecutive integers whose sum is $45?$\n$\\textbf{(A) } 9 \\qquad\\textbf{(B) } 25 \\qquad\\textbf{(C) } 45 \\qquad\\textbf{(D) } 90 \\qquad\\textbf{(E) } 120$",
"role": "user"
}
] |
math
|
{
"ground_truth": "45",
"style": "rule"
}
|
{
"index": 3403,
"need_tools_kwargs": true,
"question": "What is the greatest number of consecutive integers whose sum is $45?$\n$\\textbf{(A) } 9 \\qquad\\textbf{(B) } 25 \\qquad\\textbf{(C) } 45 \\qquad\\textbf{(D) } 90 \\qquad\\textbf{(E) } 120$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 CEO manages a hotel and casino situated on the southern end of the Las Vegas Strip?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Corey Sanders",
"style": "rule"
}
|
{
"index": 3404,
"need_tools_kwargs": true,
"question": "What CEO manages a hotel and casino situated on the southern end of the Las Vegas Strip?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 circle of radius $r$ has chords $\\overline{AB}$ of length $10$ and $\\overline{CD}$ of length 7. When $\\overline{AB}$ and $\\overline{CD}$ are extended through $B$ and $C$, respectively, they intersect at $P$, which is outside of the circle. If $\\angle{APD}=60^\\circ$ and $BP=8$, then find the value of $r^2$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "73",
"style": "rule"
}
|
{
"index": 3405,
"need_tools_kwargs": true,
"question": "A circle of radius $r$ has chords $\\overline{AB}$ of length $10$ and $\\overline{CD}$ of length 7. When $\\overline{AB}$ and $\\overline{CD}$ are extended through $B$ and $C$, respectively, they intersect at $P$, which is outside of the circle. If $\\angle{APD}=60^\\circ$ and $BP=8$, then find the value of $r^2$.",
"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": "It is known that \\(\\frac{7}{13} + \\sin \\varphi = \\cos \\varphi\\) for some real \\(\\varphi\\). What is \\(\\sin 2 \\varphi\\)?",
"role": "user"
}
] |
math
|
{
"ground_truth": "0.710059171597633",
"style": "rule"
}
|
{
"index": 3406,
"need_tools_kwargs": true,
"question": "It is known that \\(\\frac{7}{13} + \\sin \\varphi = \\cos \\varphi\\) for some real \\(\\varphi\\). What is \\(\\sin 2 \\varphi\\)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "For $n\\geq 2$ , an equilateral triangle is divided into $n^2$ congruent smaller equilateral triangles. Detemine all ways in which real numbers can be assigned to the $\\frac{(n+1)(n+2)}{2}$ vertices so that three such numbers sum to zero whenever the three vertices form a triangle with edges parallel to the sides of the big triangle.",
"role": "user"
}
] |
math
|
{
"ground_truth": "0",
"style": "rule"
}
|
{
"index": 3407,
"need_tools_kwargs": true,
"question": "For $n\\geq 2$ , an equilateral triangle is divided into $n^2$ congruent smaller equilateral triangles. Detemine all ways in which real numbers can be assigned to the $\\frac{(n+1)(n+2)}{2}$ vertices so that three such numbers sum to zero whenever the three vertices form a triangle with edges parallel to the sides of the big triangle.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When was the director of film The Owl (1927 Film) born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1 February 1875",
"style": "rule"
}
|
{
"index": 3408,
"need_tools_kwargs": true,
"question": "When was the director of film The Owl (1927 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": "When was the institution from which Steve Ogden received his Bachelor of Science degree established ?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "10 October 1845",
"style": "rule"
}
|
{
"index": 3409,
"need_tools_kwargs": true,
"question": "When was the institution from which Steve Ogden received his Bachelor of Science degree established ?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 the polynomial $f(x) = x^{2014}$ is expressed as $f(x) = \\sum^{2014}_{k=0} a_k \\binom{x}{k}$ for some real numbers $a_0, a_1, \\ldots, a_{2014}$. Find the largest integer $m$ such that $2^m$ divides $a_{2013}$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2004",
"style": "rule"
}
|
{
"index": 3410,
"need_tools_kwargs": true,
"question": "Suppose the polynomial $f(x) = x^{2014}$ is expressed as $f(x) = \\sum^{2014}_{k=0} a_k \\binom{x}{k}$ for some real numbers $a_0, a_1, \\ldots, a_{2014}$. Find the largest integer $m$ such that $2^m$ divides $a_{2013}$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let \\( r \\) be the speed in miles per hour at which a wheel, 10 feet in circumference, travels. If the time for a complete rotation of the wheel is shortened by \\( \\frac{1}{5} \\) of a second, and this results in an increase of the speed \\( r \\) by 6 miles per hour, determine the original speed \\( r \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
|
{
"index": 3411,
"need_tools_kwargs": true,
"question": "Let \\( r \\) be the speed in miles per hour at which a wheel, 10 feet in circumference, travels. If the time for a complete rotation of the wheel is shortened by \\( \\frac{1}{5} \\) of a second, and this results in an increase of the speed \\( r \\) by 6 miles per hour, determine the original speed \\( 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 nationality is the director of film Common Law Cabin?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American",
"style": "rule"
}
|
{
"index": 3412,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Common Law Cabin?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 side lengths of a triangle are natural number multiples of $7$, and each side is smaller than $40$. How many triangles satisfy these conditions?",
"role": "user"
}
] |
math
|
{
"ground_truth": "22",
"style": "rule"
}
|
{
"index": 3413,
"need_tools_kwargs": true,
"question": "The side lengths of a triangle are natural number multiples of $7$, and each side is smaller than $40$. How many triangles satisfy these conditions?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 all three-digit numbers that are five times the product of their digits.",
"role": "user"
}
] |
math
|
{
"ground_truth": "175",
"style": "rule"
}
|
{
"index": 3414,
"need_tools_kwargs": true,
"question": "Find all three-digit numbers that are five times the product of their digits.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $T$ be the set of complex numbers of the form $u + vi,$ where $u$ and $v$ are real numbers, such that \n\\[\\frac{1}{2} \\le u \\le \\frac{\\sqrt{2}}{2}.\\] Find the smallest positive integer $n$ such that for all positive integers $m \\ge n,$ there exists a complex number $z \\in T$ such that $z^m = 1.$",
"role": "user"
}
] |
math
|
{
"ground_truth": "15",
"style": "rule"
}
|
{
"index": 3415,
"need_tools_kwargs": true,
"question": "Let $T$ be the set of complex numbers of the form $u + vi,$ where $u$ and $v$ are real numbers, such that \n\\[\\frac{1}{2} \\le u \\le \\frac{\\sqrt{2}}{2}.\\] Find the smallest positive integer $n$ such that for all positive integers $m \\ge n,$ there exists a complex number $z \\in T$ such that $z^m = 1.$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where was the place of death of the director of film The Dog In The Manger (1996 Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Madrid",
"style": "rule"
}
|
{
"index": 3416,
"need_tools_kwargs": true,
"question": "Where was the place of death of the director of film The Dog In The Manger (1996 Film)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where was the performer of song Ave Maria (Beyoncé Song) born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Houston, Texas",
"style": "rule"
}
|
{
"index": 3417,
"need_tools_kwargs": true,
"question": "Where was the performer of song Ave Maria (Beyoncé 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 An International Marriage die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "10 August 1960",
"style": "rule"
}
|
{
"index": 3418,
"need_tools_kwargs": true,
"question": "When did the director of film An International Marriage 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": "What is the given name of the Jackson, Mississippi mayor succeeded by Tony Yarber?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Edwin Finley Taliaferro",
"style": "rule"
}
|
{
"index": 3419,
"need_tools_kwargs": true,
"question": "What is the given name of the Jackson, Mississippi mayor succeeded by Tony Yarber?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Liisa Savolainen and Gerardo Lugo from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 3420,
"need_tools_kwargs": true,
"question": "Are Liisa Savolainen and Gerardo Lugo from the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The Pinkprint Tour was created by which rapper and model?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Onika Tanya Maraj",
"style": "rule"
}
|
{
"index": 3421,
"need_tools_kwargs": true,
"question": "The Pinkprint Tour was created by which rapper and model?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $S_{1}, S_{2}, \\ldots, S_{10}$ be the first ten terms of an arithmetic progression (A.P.) of positive integers. If $S_{1} + S_{2} + \\ldots + S_{10} = 55$ and $\\left(S_{10} - S_{8}\\right) + \\left(S_{9} - S_{7}\\right) + \\ldots + \\left(S_{3} - S_{1}\\right) = d$, find $d$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "16",
"style": "rule"
}
|
{
"index": 3422,
"need_tools_kwargs": true,
"question": "Let $S_{1}, S_{2}, \\ldots, S_{10}$ be the first ten terms of an arithmetic progression (A.P.) of positive integers. If $S_{1} + S_{2} + \\ldots + S_{10} = 55$ and $\\left(S_{10} - S_{8}\\right) + \\left(S_{9} - S_{7}\\right) + \\ldots + \\left(S_{3} - S_{1}\\right) = d$, find $d$.",
"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": "Let $A B C$ be a triangle with $A B=23, B C=24$, and $C A=27$. Let $D$ be the point on segment $A C$ such that the incircles of triangles $B A D$ and $B C D$ are tangent. Determine the ratio $C D / D A$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "$\\frac{14}{13}$",
"style": "rule"
}
|
{
"index": 3423,
"need_tools_kwargs": true,
"question": "Let $A B C$ be a triangle with $A B=23, B C=24$, and $C A=27$. Let $D$ be the point on segment $A C$ such that the incircles of triangles $B A D$ and $B C D$ are tangent. Determine the ratio $C D / D A$.",
"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": "When is the director of film Love And Deficit 's birthday?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "18 November 1888",
"style": "rule"
}
|
{
"index": 3424,
"need_tools_kwargs": true,
"question": "When is the director of film Love And Deficit '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": "Arrange 3 boys and 4 girls in a row. Calculate the number of different arrangements under the following conditions:\n(1) Person A and Person B must stand at the two ends; \n(2) All boys must stand together; \n(3) No two boys stand next to each other; \n(4) Exactly one person stands between Person A and Person B.",
"role": "user"
}
] |
math
|
{
"ground_truth": "1200",
"style": "rule"
}
|
{
"index": 3425,
"need_tools_kwargs": true,
"question": "Arrange 3 boys and 4 girls in a row. Calculate the number of different arrangements under the following conditions:\n(1) Person A and Person B must stand at the two ends; \n(2) All boys must stand together; \n(3) No two boys stand next to each other; \n(4) Exactly one person stands between Person A and Person 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": "Were both Thomas Kelly (Sailor) and Funda Arar, born in the same place?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 3426,
"need_tools_kwargs": true,
"question": "Were both Thomas Kelly (Sailor) and Funda Arar, born in the same place?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Find the largest possible value of \\( n \\) such that there exist \\( n \\) consecutive positive integers whose sum is equal to 2010.",
"role": "user"
}
] |
math
|
{
"ground_truth": "60",
"style": "rule"
}
|
{
"index": 3427,
"need_tools_kwargs": true,
"question": "Find the largest possible value of \\( n \\) such that there exist \\( n \\) consecutive positive integers whose sum is equal to 2010.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 American actor starred in the 2002 television film about the Junction Boys and was nominated for the Academy Award for Best supporting Actor for his role as Staff Sergeant Bob Barnes in the movie 'Platoon'?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Tom Berenger (born Thomas Michael Moore; May 31, 1949) is an American television and motion picture actor.",
"style": "rule"
}
|
{
"index": 3428,
"need_tools_kwargs": true,
"question": "What American actor starred in the 2002 television film about the Junction Boys and was nominated for the Academy Award for Best supporting Actor for his role as Staff Sergeant Bob Barnes in the movie 'Platoon'?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 included in the complex where the play Punk Rock was premiered?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "the Royal Exchange Theatre and the Royal Exchange Shopping Centre.",
"style": "rule"
}
|
{
"index": 3429,
"need_tools_kwargs": true,
"question": "What is included in the complex where the play Punk Rock was premiered?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "How many polynomials of the form $x^5 + ax^4 + bx^3 + cx^2 + dx + 2020$, where $a$, $b$, $c$, and $d$ are real numbers, have the property that whenever $r$ is a root, so is $\\frac{-1+i\\sqrt{3}}{2} \\cdot r$? (Note that $i=\\sqrt{-1}$)\n$\\textbf{(A) } 0 \\qquad \\textbf{(B) }1 \\qquad \\textbf{(C) } 2 \\qquad \\textbf{(D) } 3 \\qquad \\textbf{(E) } 4$",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"index": 3430,
"need_tools_kwargs": true,
"question": "How many polynomials of the form $x^5 + ax^4 + bx^3 + cx^2 + dx + 2020$, where $a$, $b$, $c$, and $d$ are real numbers, have the property that whenever $r$ is a root, so is $\\frac{-1+i\\sqrt{3}}{2} \\cdot r$? (Note that $i=\\sqrt{-1}$)\n$\\textbf{(A) } 0 \\qquad \\textbf{(B) }1 \\qquad \\textbf{(C) } 2 \\qquad \\textbf{(D) } 3 \\qquad \\textbf{(E) } 4$",
"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": "Which of the following numbers is closest to 10?\n(A) 1\n(B) 5\n(C) 8\n(D) 13\n(E) 19",
"role": "user"
}
] |
math
|
{
"ground_truth": "8",
"style": "rule"
}
|
{
"index": 3431,
"need_tools_kwargs": true,
"question": "Which of the following numbers is closest to 10?\n(A) 1\n(B) 5\n(C) 8\n(D) 13\n(E) 19",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Bangaru Kutumbam die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "30 May 2017",
"style": "rule"
}
|
{
"index": 3432,
"need_tools_kwargs": true,
"question": "When did the director of film Bangaru Kutumbam 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": "What Mozilla Firefox release version included the patch note: \"Improved the performance of the instance when Microsoft's IME and Defender retrieve the URL of a focused document in Windows 11 version 22H2\"?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "107.0",
"style": "rule"
}
|
{
"index": 3433,
"need_tools_kwargs": true,
"question": "What Mozilla Firefox release version included the patch note: \"Improved the performance of the instance when Microsoft's IME and Defender retrieve the URL of a focused document in Windows 11 version 22H2\"?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $R$ be the region in the Cartesian plane of points $(x,y)$ satisfying $x\\geq 0$ , $y\\geq 0$ , and $x+y+\\lfloor x\\rfloor+\\lfloor y\\rfloor\\leq 5$ . Determine the area of $R$ .",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{9}{2}",
"style": "rule"
}
|
{
"index": 3434,
"need_tools_kwargs": true,
"question": "Let $R$ be the region in the Cartesian plane of points $(x,y)$ satisfying $x\\geq 0$ , $y\\geq 0$ , and $x+y+\\lfloor x\\rfloor+\\lfloor y\\rfloor\\leq 5$ . Determine the area of $R$ .",
"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": "A rectangle with a perimeter of 96 cm is divided by eight vertical cuts and eleven horizontal cuts into 108 identical smaller rectangles. What is the perimeter of each smaller rectangle if the sum of the lengths of all the cuts is 438 cm?",
"role": "user"
}
] |
math
|
{
"ground_truth": "9",
"style": "rule"
}
|
{
"index": 3435,
"need_tools_kwargs": true,
"question": "A rectangle with a perimeter of 96 cm is divided by eight vertical cuts and eleven horizontal cuts into 108 identical smaller rectangles. What is the perimeter of each smaller rectangle if the sum of the lengths of all the cuts is 438 cm?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of birth of Per Ø. Grimstad's wife?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "15 December 1935",
"style": "rule"
}
|
{
"index": 3436,
"need_tools_kwargs": true,
"question": "What is the date of birth of Per Ø. Grimstad's wife?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Do Jim De Booy and Michael Darling (Field Hockey) share the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 3437,
"need_tools_kwargs": true,
"question": "Do Jim De Booy and Michael Darling (Field Hockey) share the same nationality?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of death of Empress Ma (Jianwen)'s husband?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "13 July 1402",
"style": "rule"
}
|
{
"index": 3438,
"need_tools_kwargs": true,
"question": "What is the date of death of Empress Ma (Jianwen)'s husband?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 sequence $\\{a_n\\}$, it is known that $a_1=1$, and the point $(a_n, a_{n+1})$ lies on the line $x-y+2=0$. Find the general formula for $a_n$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "a_n = 2n - 1",
"style": "rule"
}
|
{
"index": 3439,
"need_tools_kwargs": true,
"question": "In the sequence $\\{a_n\\}$, it is known that $a_1=1$, and the point $(a_n, a_{n+1})$ lies on the line $x-y+2=0$. Find the general formula for $a_n$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "已知抛物线 $\\Omega: y=x^{2}$, 动线段 $A B$ 在直线 $y=\\sqrt{3} x-3$ 上 ( $B$ 在 $A$ 右侧), 且 $|A B|=2 \\sqrt{3}$. 过 $A$ 作 $\\Omega$的切线, 取左边的切点为 $M$. 过 $B$ 作 $\\Omega$ 的切线, 取右边的切点为 $N$. 当 $M N / / A B$ 时, 求点 $A$ 的横坐标.",
"role": "user"
}
] |
math
|
{
"ground_truth": "0",
"style": "rule"
}
|
{
"index": 3440,
"need_tools_kwargs": true,
"question": "已知抛物线 $\\Omega: y=x^{2}$, 动线段 $A B$ 在直线 $y=\\sqrt{3} x-3$ 上 ( $B$ 在 $A$ 右侧), 且 $|A B|=2 \\sqrt{3}$. 过 $A$ 作 $\\Omega$的切线, 取左边的切点为 $M$. 过 $B$ 作 $\\Omega$ 的切线, 取右边的切点为 $N$. 当 $M N / / A B$ 时, 求点 $A$ 的横坐标.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Describe a regular tetrahedron around a sphere of radius \\(R\\) and find its volume.",
"role": "user"
}
] |
math
|
{
"ground_truth": "8\\sqrt{3}R^3",
"style": "rule"
}
|
{
"index": 3441,
"need_tools_kwargs": true,
"question": "Describe a regular tetrahedron around a sphere of radius \\(R\\) and find its volume.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Distinct lines \\( \\ell \\) and \\( m \\) lie in the \\( xy \\)-plane and intersect at the origin. The equation of line \\( \\ell \\) is given by \\( 3x + 4y = 0 \\). A point \\( Q(-2, 3) \\) is reflected about line \\( \\ell \\) to obtain point \\( Q' \\), and then \\( Q' \\) is reflected about line \\( m \\) to obtain point \\( Q'' \\), which has coordinates \\((3, -2)\\). Determine the equation of line \\( m \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "0",
"style": "rule"
}
|
{
"index": 3442,
"need_tools_kwargs": true,
"question": "Distinct lines \\( \\ell \\) and \\( m \\) lie in the \\( xy \\)-plane and intersect at the origin. The equation of line \\( \\ell \\) is given by \\( 3x + 4y = 0 \\). A point \\( Q(-2, 3) \\) is reflected about line \\( \\ell \\) to obtain point \\( Q' \\), and then \\( Q' \\) is reflected about line \\( m \\) to obtain point \\( Q'' \\), which has coordinates \\((3, -2)\\). Determine the equation of line \\( 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": "If it costs two cents for each plastic digit used to number each locker and it costs $294.94 to label all lockers up to a certain number, calculate the highest locker number labeled.",
"role": "user"
}
] |
math
|
{
"ground_truth": "3963",
"style": "rule"
}
|
{
"index": 3443,
"need_tools_kwargs": true,
"question": "If it costs two cents for each plastic digit used to number each locker and it costs $294.94 to label all lockers up to a certain number, calculate the highest locker number labeled.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "An isosceles trapezoid has two rows of small identical isosceles triangles drawn along its top and bottom bases. Each small isosceles triangle has an area of 1. Find the area of the entire isosceles trapezoid.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 3444,
"need_tools_kwargs": true,
"question": "An isosceles trapezoid has two rows of small identical isosceles triangles drawn along its top and bottom bases. Each small isosceles triangle has an area of 1. Find the area of the entire isosceles trapezoid.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What nationality is the performer of song Orange Sky (Song)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "British",
"style": "rule"
}
|
{
"index": 3445,
"need_tools_kwargs": true,
"question": "What nationality is the performer of song Orange Sky (Song)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When was the first store of the chain which the Wales National Ice Rink was demolished to make room for opened?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1864",
"style": "rule"
}
|
{
"index": 3446,
"need_tools_kwargs": true,
"question": "When was the first store of the chain which the Wales National Ice Rink was demolished to make room for opened?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of death of the performer of song Missing My Baby?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "March 31, 1995",
"style": "rule"
}
|
{
"index": 3447,
"need_tools_kwargs": true,
"question": "What is the date of death of the performer of song Missing My Baby?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "(Optional Course 4-4: Coordinate Systems and Parametric Equations)\nGiven that line $l$ passes through point $P(-1,2)$ with an angle of inclination of $\\frac{2π}{3}$, and the equation of a circle is given by $p=2\\cos\\left(θ+\\frac{π}{3}\\right)$.\n(1) Find the parametric equation of line $l$;\n(2) Let line $l$ intersect the circle at points $M$ and $N$. Find the value of $|PM|\\cdot|PN|$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "6+2\\sqrt{3}",
"style": "rule"
}
|
{
"index": 3448,
"need_tools_kwargs": true,
"question": "(Optional Course 4-4: Coordinate Systems and Parametric Equations)\nGiven that line $l$ passes through point $P(-1,2)$ with an angle of inclination of $\\frac{2π}{3}$, and the equation of a circle is given by $p=2\\cos\\left(θ+\\frac{π}{3}\\right)$.\n(1) Find the parametric equation of line $l$;\n(2) Let line $l$ intersect the circle at points $M$ and $N$. Find the value of $|PM|\\cdot|PN|$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Are both villages, Cherkasovka and Deh-E Ahmad, Kohgiluyeh And Boyer-Ahmad, located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 3449,
"need_tools_kwargs": true,
"question": "Are both villages, Cherkasovka and Deh-E Ahmad, Kohgiluyeh And Boyer-Ahmad, 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": "Let $p(x)$ have a domain of $\\{-2, -1, 0, 1\\}$ and range of $\\{-1, 1, 3, 5\\}$. The function $q(x)$ has a domain of $\\{0, 1, 2, 3, 4\\}$ and is defined by $q(x) = x + 2$. Calculate the sum of all possible values of $q(p(x))$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "8",
"style": "rule"
}
|
{
"index": 3450,
"need_tools_kwargs": true,
"question": "Let $p(x)$ have a domain of $\\{-2, -1, 0, 1\\}$ and range of $\\{-1, 1, 3, 5\\}$. The function $q(x)$ has a domain of $\\{0, 1, 2, 3, 4\\}$ and is defined by $q(x) = x + 2$. Calculate the sum of all possible values of $q(p(x))$.",
"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": "A certain state issues license plates consisting of six digits (from 0 to 9). The state requires that any two license plates differ in at least two places. Determine, with proof, the maximum number of distinct license plates that the state can use.",
"role": "user"
}
] |
math
|
{
"ground_truth": "100000",
"style": "rule"
}
|
{
"index": 3451,
"need_tools_kwargs": true,
"question": "A certain state issues license plates consisting of six digits (from 0 to 9). The state requires that any two license plates differ in at least two places. Determine, with proof, the maximum number of distinct license plates that the state can use.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 director of film Society Girl (1932 Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Shirley Mason",
"style": "rule"
}
|
{
"index": 3452,
"need_tools_kwargs": true,
"question": "Who is the spouse of the director of film Society Girl (1932 Film)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "If for any $x \\in A$, $\\frac{1}{x} \\in A$, then $A$ is called a \"harmonic\" set. Then, among all non-empty subsets of the set $$M=\\{-1, 0, \\frac{1}{3}, \\frac{1}{2}, 1, 2, 3, 4\\}$$, the probability of being a \"harmonic\" set is ( )\nA: $$\\frac{1}{17}$$\nB: $$\\frac{15}{256}$$\nC: $$\\frac{15}{254}$$\nD: $$\\frac{2}{51}$$",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{1}{17}",
"style": "rule"
}
|
{
"index": 3453,
"need_tools_kwargs": true,
"question": "If for any $x \\in A$, $\\frac{1}{x} \\in A$, then $A$ is called a \"harmonic\" set. Then, among all non-empty subsets of the set $$M=\\{-1, 0, \\frac{1}{3}, \\frac{1}{2}, 1, 2, 3, 4\\}$$, the probability of being a \"harmonic\" set is ( )\nA: $$\\frac{1}{17}$$\nB: $$\\frac{15}{256}$$\nC: $$\\frac{15}{254}$$\nD: $$\\frac{2}{51}$$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 game \"set,\" all possible four-digit numbers consisting of the digits 1, 2, and 3 (each digit used exactly once) participate. A triplet of numbers is said to form a set if, for each digit position, either all three numbers have the same digit, or all three numbers have different digits.\n\nThe difficulty of a set is defined as the number of digit positions where all three digits are different.\n\nFor example:\n- The numbers 1232, 2213, and 3221 form a set of difficulty 3 (in the first position all three digits are different, in the second position only the digit 2 is present, in the third position all three digits are different, and in the fourth position all three digits are different).\n- The numbers 1231, 1232, and 1233 form a set of difficulty 1 (in the first three positions the digits are the same, and only in the fourth position all three digits are different).\n- The numbers 1123, 2231, and 3311 do not form a set at all (in the last position there are two ones and one three).\n\nWhich difficulty level sets are most numerous in the game and why?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 3454,
"need_tools_kwargs": true,
"question": "In the game \"set,\" all possible four-digit numbers consisting of the digits 1, 2, and 3 (each digit used exactly once) participate. A triplet of numbers is said to form a set if, for each digit position, either all three numbers have the same digit, or all three numbers have different digits.\n\nThe difficulty of a set is defined as the number of digit positions where all three digits are different.\n\nFor example:\n- The numbers 1232, 2213, and 3221 form a set of difficulty 3 (in the first position all three digits are different, in the second position only the digit 2 is present, in the third position all three digits are different, and in the fourth position all three digits are different).\n- The numbers 1231, 1232, and 1233 form a set of difficulty 1 (in the first three positions the digits are the same, and only in the fourth position all three digits are different).\n- The numbers 1123, 2231, and 3311 do not form a set at all (in the last position there are two ones and one three).\n\nWhich difficulty level sets are most numerous in the game and why?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "对正整数 \\( n \\)，用 \\( a_n \\) 表示三边均为整数且最长边为 \\( 2n \\) 的三角形的个数。\n(1) 求 \\( a_n \\) 关于 \\( n \\) 的表达式，并计算当 \\( n=1 \\) 时该表达式的值。\n(2) 设数列 \\(\\{b_n\\}\\) 满足：对任意正整数 \\( n \\)，\\(\\sum_{k=1}^{n}(-1)^{n-k}\\text{C}_n^k b_k = a_n\\)。求使得 \\( b_n \\leq 2019a_n \\) 的正整数 \\( n \\) 的个数。\n最终答案为上述两部分答案的和。",
"role": "user"
}
] |
math
|
{
"ground_truth": "14",
"style": "rule"
}
|
{
"index": 3455,
"need_tools_kwargs": true,
"question": "对正整数 \\( n \\)，用 \\( a_n \\) 表示三边均为整数且最长边为 \\( 2n \\) 的三角形的个数。\n(1) 求 \\( a_n \\) 关于 \\( n \\) 的表达式，并计算当 \\( n=1 \\) 时该表达式的值。\n(2) 设数列 \\(\\{b_n\\}\\) 满足：对任意正整数 \\( n \\)，\\(\\sum_{k=1}^{n}(-1)^{n-k}\\text{C}_n^k b_k = a_n\\)。求使得 \\( b_n \\leq 2019a_n \\) 的正整数 \\( n \\) 的个数。\n最终答案为上述两部分答案的和。",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where was the place of burial of Eleanor Of Castile's husband?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Westminster Abbey",
"style": "rule"
}
|
{
"index": 3456,
"need_tools_kwargs": true,
"question": "Where was the place of burial of Eleanor Of Castile's husband?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Janice works at a convenience store where her schedule fluctuates. She has to work 5 to 6 days per week with varying hours per day and can earn $30 per day if she works 5 hours. When she works more than 5 hours, she earns an additional hourly rate: $10 per additional hour on weekdays, and $15 per additional hour on weekends. This week, she worked 5 days, including one weekend day. Her total work hours are as follows: Monday - 5 hours, Tuesday - 6 hours, Wednesday - 7 hours, Thursday - 5 hours, and Sunday - 6 hours. Janice earned $15 in tips this week, but she needs to pay 10% tax on her basic earnings and a 5% tax on her overtime and tips. How much will Janice earn this week after deductions?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\$192",
"style": "rule"
}
|
{
"index": 3457,
"need_tools_kwargs": true,
"question": "Janice works at a convenience store where her schedule fluctuates. She has to work 5 to 6 days per week with varying hours per day and can earn $30 per day if she works 5 hours. When she works more than 5 hours, she earns an additional hourly rate: $10 per additional hour on weekdays, and $15 per additional hour on weekends. This week, she worked 5 days, including one weekend day. Her total work hours are as follows: Monday - 5 hours, Tuesday - 6 hours, Wednesday - 7 hours, Thursday - 5 hours, and Sunday - 6 hours. Janice earned $15 in tips this week, but she needs to pay 10% tax on her basic earnings and a 5% tax on her overtime and tips. How much will Janice earn this week after deductions?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who was born in 1926 and survived a camp during World War II? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Sol Rosenberg",
"style": "rule"
}
|
{
"index": 3458,
"need_tools_kwargs": true,
"question": "Who was born in 1926 and survived a camp during World War II? ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Does the Polygon article on 'Spider-Man: Across the Spider-Verse' suggest the presence of a multiverse of Spider-themed characters, as does the Polygon article on 'Spider-Man 2 (game)' imply the inclusion of multiple Spider-Men stories?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Yes",
"style": "rule"
}
|
{
"index": 3459,
"need_tools_kwargs": true,
"question": "Does the Polygon article on 'Spider-Man: Across the Spider-Verse' suggest the presence of a multiverse of Spider-themed characters, as does the Polygon article on 'Spider-Man 2 (game)' imply the inclusion of multiple Spider-Men stories?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 function \\( f(x) = \\frac{1+x}{2-x} \\), and for \\( n \\in \\mathbf{N}_{+} \\), define \\( f_{1}(x) = f(x) \\) and \\( f_{n+1}(x) = f\\left[f_{n}(x)\\right] \\). If \\( f_{13}(x) = f_{31}(x) \\), what is the expression for \\( f_{16}(x) \\)?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{x - 1}{x}",
"style": "rule"
}
|
{
"index": 3460,
"need_tools_kwargs": true,
"question": "Given the function \\( f(x) = \\frac{1+x}{2-x} \\), and for \\( n \\in \\mathbf{N}_{+} \\), define \\( f_{1}(x) = f(x) \\) and \\( f_{n+1}(x) = f\\left[f_{n}(x)\\right] \\). If \\( f_{13}(x) = f_{31}(x) \\), what is the expression for \\( f_{16}(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": "How many three-digit numbers have digits whose sum is a perfect square between 10 and 27, inclusive?",
"role": "user"
}
] |
math
|
{
"ground_truth": "22",
"style": "rule"
}
|
{
"index": 3461,
"need_tools_kwargs": true,
"question": "How many three-digit numbers have digits whose sum is a perfect square between 10 and 27, inclusive?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Were both Bill Malarkey Mhk and Silas Gnaka, born in the same place?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 3462,
"need_tools_kwargs": true,
"question": "Were both Bill Malarkey Mhk and Silas Gnaka, born in the same place?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What car was the predecessor of the vehicle that the Lincoln car larger than the Lincoln MKT was based on?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Ford Bronco",
"style": "rule"
}
|
{
"index": 3463,
"need_tools_kwargs": true,
"question": "What car was the predecessor of the vehicle that the Lincoln car larger than the Lincoln MKT was based 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": "How many diagonals in a regular 32-gon are not parallel to any of its sides?",
"role": "user"
}
] |
math
|
{
"ground_truth": "240",
"style": "rule"
}
|
{
"index": 3464,
"need_tools_kwargs": true,
"question": "How many diagonals in a regular 32-gon are not parallel to any of its sides?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 first and last name of the third director of the Metropolitan Museum of Art?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Edward Robinson",
"style": "rule"
}
|
{
"index": 3465,
"need_tools_kwargs": true,
"question": "What was the first and last name of the third director of the Metropolitan Museum of Art?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of death of the director of film Somewhere In Politics?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "20 February 1958",
"style": "rule"
}
|
{
"index": 3466,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film Somewhere In Politics?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In what year was the album that with \"Siamese Dream\" made up the collection of B-sides and rarities for the album \"Pisces Iscariot\" released?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1991",
"style": "rule"
}
|
{
"index": 3467,
"need_tools_kwargs": true,
"question": "In what year was the album that with \"Siamese Dream\" made up the collection of B-sides and rarities for the album \"Pisces Iscariot\" released?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The army officer who comitted a murder in 1970 at fort bragg was born on which year ?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1943",
"style": "rule"
}
|
{
"index": 3468,
"need_tools_kwargs": true,
"question": "The army officer who comitted a murder in 1970 at fort bragg was born on which year ?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Cory Rooney wrote, produced, and developed many successful songs and careers for this American singer, songwriter, record producer, and actress who rose to fame in 1990 with the release of which album?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Vision of Love",
"style": "rule"
}
|
{
"index": 3469,
"need_tools_kwargs": true,
"question": "Cory Rooney wrote, produced, and developed many successful songs and careers for this American singer, songwriter, record producer, and actress who rose to fame in 1990 with the release of which album?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Consider an equiangular hexagon \\(ABCDEF\\) that inscribes a square \\(MNPQ\\). The point \\(M\\) lies on side \\(\\overline{BC}\\), point \\(N\\) lies on side \\(\\overline{DE}\\), and point \\(P\\) lies on side \\(\\overline{EF}\\). Given that the length of side \\(AB\\) is \\(50\\) and the length of side \\(EF\\) is \\(53(\\sqrt{2} - 1)\\), determine the side length of square \\(MNPQ\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "25\\sqrt{2}-23",
"style": "rule"
}
|
{
"index": 3470,
"need_tools_kwargs": true,
"question": "Consider an equiangular hexagon \\(ABCDEF\\) that inscribes a square \\(MNPQ\\). The point \\(M\\) lies on side \\(\\overline{BC}\\), point \\(N\\) lies on side \\(\\overline{DE}\\), and point \\(P\\) lies on side \\(\\overline{EF}\\). Given that the length of side \\(AB\\) is \\(50\\) and the length of side \\(EF\\) is \\(53(\\sqrt{2} - 1)\\), determine the side length of square \\(MNPQ\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "I could ask any guest in the castle a question that would inevitably make them answer \"ball\".",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\textcolor{green!50!black}{True}",
"style": "rule"
}
|
{
"index": 3471,
"need_tools_kwargs": true,
"question": "I could ask any guest in the castle a question that would inevitably make them answer \"ball\".",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $S$ be the set of all nonzero real numbers. Let $f : S \\to S$ be a function such that\n\\[f(x) + f(y) = f(xyf(x + y))\\]for all $x,$ $y \\in S$ such that $x + y \\neq 0.$\n\nLet $n$ be the number of possible values of $f(4),$ and let $s$ be the sum of all possible values of $f(4).$ Find $n \\times s.$",
"role": "user"
}
] |
math
|
{
"ground_truth": "0.25",
"style": "rule"
}
|
{
"index": 3472,
"need_tools_kwargs": true,
"question": "Let $S$ be the set of all nonzero real numbers. Let $f : S \\to S$ be a function such that\n\\[f(x) + f(y) = f(xyf(x + y))\\]for all $x,$ $y \\in S$ such that $x + y \\neq 0.$\n\nLet $n$ be the number of possible values of $f(4),$ and let $s$ be the sum of all possible values of $f(4).$ Find $n \\times s.$",
"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": " Cat Run 2 is a 2014 direct-to-video American comedy action film starring an American professional what?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "poker player",
"style": "rule"
}
|
{
"index": 3473,
"need_tools_kwargs": true,
"question": " Cat Run 2 is a 2014 direct-to-video American comedy action film starring an American professional 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": "Are The New Hotel and Get That Venus from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 3474,
"need_tools_kwargs": true,
"question": "Are The New Hotel and Get That Venus 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 building did Philip Hooker work on that has a 202 ft tall tower at its southwest corner?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Albany City Hall",
"style": "rule"
}
|
{
"index": 3475,
"need_tools_kwargs": true,
"question": "What building did Philip Hooker work on that has a 202 ft tall tower at its southwest corner?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 musician was born first, George Michael or Tom Petty?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Thomas Earl Petty",
"style": "rule"
}
|
{
"index": 3476,
"need_tools_kwargs": true,
"question": "Which musician was born first, George Michael or Tom Petty?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Triangle $ABC$ is an isosceles right triangle with $AB=AC=3$. Let $M$ be the midpoint of hypotenuse $\\overline{BC}$. Points $I$ and $E$ lie on sides $\\overline{AC}$ and $\\overline{AB}$, respectively, so that $AI>AE$ and $AIME$ is a cyclic quadrilateral. Given that triangle $EMI$ has area $2$, the length $CI$ can be written as $\\frac{a-\\sqrt{b}}{c}$, where $a$, $b$, and $c$ are positive integers and $b$ is not divisible by the square of any prime. What is the value of $a+b+c$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "12",
"style": "rule"
}
|
{
"index": 3477,
"need_tools_kwargs": true,
"question": "Triangle $ABC$ is an isosceles right triangle with $AB=AC=3$. Let $M$ be the midpoint of hypotenuse $\\overline{BC}$. Points $I$ and $E$ lie on sides $\\overline{AC}$ and $\\overline{AB}$, respectively, so that $AI>AE$ and $AIME$ is a cyclic quadrilateral. Given that triangle $EMI$ has area $2$, the length $CI$ can be written as $\\frac{a-\\sqrt{b}}{c}$, where $a$, $b$, and $c$ are positive integers and $b$ is not divisible by the square of any prime. What is the value of $a+b+c$?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In $\\triangle ABC$, the sides opposite to angles $A$, $B$, and $C$ are $a$, $b$, and $c$ respectively. Given that $(a^2+c^2-b^2)\\tan B=\\sqrt{3}(b^2+c^2-a^2)$,\n\n1. Find the measure of angle $A$.\n2. If $a=2$, determine the shape of $\\triangle ABC$ when its perimeter $L$ is at its maximum, and find the maximum perimeter.",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
|
{
"index": 3478,
"need_tools_kwargs": true,
"question": "In $\\triangle ABC$, the sides opposite to angles $A$, $B$, and $C$ are $a$, $b$, and $c$ respectively. Given that $(a^2+c^2-b^2)\\tan B=\\sqrt{3}(b^2+c^2-a^2)$,\n\n1. Find the measure of angle $A$.\n2. If $a=2$, determine the shape of $\\triangle ABC$ when its perimeter $L$ is at its maximum, and find the maximum perimeter.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who was the father of the artist from a town and \"comune\" of Italy in the Province of Perugia in the Umbria region who learned to paint in the workshop of Cesare Nebbia, primarily moving between Orvieto and Rome ?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Fernando Sermei",
"style": "rule"
}
|
{
"index": 3479,
"need_tools_kwargs": true,
"question": "Who was the father of the artist from a town and \"comune\" of Italy in the Province of Perugia in the Umbria region who learned to paint in the workshop of Cesare Nebbia, primarily moving between Orvieto and Rome ?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 function $f(x)=(x-a)^{2}+(2\\ln x-2a)^{2}$, where $x > 0, a \\in \\mathbb{R}$, find the value of the real number $a$ such that there exists $x_{0}$ such that $f(x_{0}) \\leqslant \\frac{4}{5}$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{1}{5}",
"style": "rule"
}
|
{
"index": 3480,
"need_tools_kwargs": true,
"question": "Given the function $f(x)=(x-a)^{2}+(2\\ln x-2a)^{2}$, where $x > 0, a \\in \\mathbb{R}$, find the value of the real number $a$ such that there exists $x_{0}$ such that $f(x_{0}) \\leqslant \\frac{4}{5}$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who lived longer, Dalbir Bindra or Thor Støre?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Thor Støre",
"style": "rule"
}
|
{
"index": 3481,
"need_tools_kwargs": true,
"question": "Who lived longer, Dalbir Bindra or Thor Støre?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 dandelion blooms in the morning, remains yellow for three days, turns white on the fourth morning, and sheds its seeds by the evening of the fifth day. On Monday afternoon, there were 20 yellow and 14 white dandelions in the meadow. On Wednesday, there were 15 yellow and 11 white dandelions. How many white dandelions will be in the meadow on Saturday?",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
|
{
"index": 3482,
"need_tools_kwargs": true,
"question": "A dandelion blooms in the morning, remains yellow for three days, turns white on the fourth morning, and sheds its seeds by the evening of the fifth day. On Monday afternoon, there were 20 yellow and 14 white dandelions in the meadow. On Wednesday, there were 15 yellow and 11 white dandelions. How many white dandelions will be in the meadow on Saturday?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 and then evaluate: $\\left(\\dfrac{2}{a-1}-\\dfrac{1}{a}\\right)\\div \\dfrac{a^{2}+a}{a^{2}-2a+1}$, where $a=-2$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "-\\dfrac{3}{4}",
"style": "rule"
}
|
{
"index": 3483,
"need_tools_kwargs": true,
"question": "Simplify and then evaluate: $\\left(\\dfrac{2}{a-1}-\\dfrac{1}{a}\\right)\\div \\dfrac{a^{2}+a}{a^{2}-2a+1}$, where $a=-2$.",
"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": "Where did the director of film We'Ll Live Till Monday die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Vyborg",
"style": "rule"
}
|
{
"index": 3484,
"need_tools_kwargs": true,
"question": "Where did the director of film We'Ll Live Till Monday 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": "What writing principle is relevant in a novel with Allison Gross?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "rule of three",
"style": "rule"
}
|
{
"index": 3485,
"need_tools_kwargs": true,
"question": "What writing principle is relevant in a novel with Allison Gross?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 form of drama based on human suffering was added to Gilmore Girls by Amy Sherman-Palladino?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Tragedy",
"style": "rule"
}
|
{
"index": 3486,
"need_tools_kwargs": true,
"question": "What form of drama based on human suffering was added to Gilmore Girls by Amy Sherman-Palladino?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 multinational professional services firm, headquartered in London, England, is one of the \"Big Four\" accounting firms and is also a tenant in InfoPark, Kochi?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Ernst & Young",
"style": "rule"
}
|
{
"index": 3487,
"need_tools_kwargs": true,
"question": "What multinational professional services firm, headquartered in London, England, is one of the \"Big Four\" accounting firms and is also a tenant in InfoPark, Kochi?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 very large number of small particles forms a spherical cloud. Initially, they are at rest, have uniform mass density per unit volume $\\rho_0$, and occupy a region of radius $r_0$. The cloud collapses due to gravitation; the particles do not interact with each other in any other way.\n\nFind the time that passes until the cloud collapses fully, expressed in the form $\\frac{k}{\\sqrt{G \\rho_0}}$. Please give the value of $10000k$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "5427",
"style": "rule"
}
|
{
"index": 3488,
"need_tools_kwargs": true,
"question": "A very large number of small particles forms a spherical cloud. Initially, they are at rest, have uniform mass density per unit volume $\\rho_0$, and occupy a region of radius $r_0$. The cloud collapses due to gravitation; the particles do not interact with each other in any other way.\n\nFind the time that passes until the cloud collapses fully, expressed in the form $\\frac{k}{\\sqrt{G \\rho_0}}$. Please give the value of $10000k$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Six different small books and three different large books are placed on a shelf. Three children can each choose either two small books or one large book. Determine the number of ways the three children can select their books.",
"role": "user"
}
] |
math
|
{
"ground_truth": "1176",
"style": "rule"
}
|
{
"index": 3489,
"need_tools_kwargs": true,
"question": "Six different small books and three different large books are placed on a shelf. Three children can each choose either two small books or one large book. Determine the number of ways the three children can select their books.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "two trains 121 meters and 165 meters in length respectively are running in opposite directions , one at the rate of 80 km and the other at the rate of 55 kmph . in what time will they be completely clear of each other from the moment they meet ?",
"role": "user"
}
] |
math
|
{
"ground_truth": "7.63",
"style": "rule"
}
|
{
"index": 3490,
"need_tools_kwargs": true,
"question": "two trains 121 meters and 165 meters in length respectively are running in opposite directions , one at the rate of 80 km and the other at the rate of 55 kmph . in what time will they be completely clear of each other from the moment they meet ?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 House Majority Leader from 1989 to 1995 did Donald J. Gralike lose to in 1976?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Richard Andrew Gephardt",
"style": "rule"
}
|
{
"index": 3491,
"need_tools_kwargs": true,
"question": "Which House Majority Leader from 1989 to 1995 did Donald J. Gralike lose to in 1976?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 spinner was created by drawing five radii from the center of a circle. The first four radii divide the circle into four equal wedges. The fifth radius divides one of the wedges into two parts, one having twice the area of the other. The five wedges are labeled with the wedge labeled by 2 having twice the area of the wedge labeled by 1. Determine the probability of spinning an odd number.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{7}{12}",
"style": "rule"
}
|
{
"index": 3492,
"need_tools_kwargs": true,
"question": "A spinner was created by drawing five radii from the center of a circle. The first four radii divide the circle into four equal wedges. The fifth radius divides one of the wedges into two parts, one having twice the area of the other. The five wedges are labeled with the wedge labeled by 2 having twice the area of the wedge labeled by 1. Determine the probability of spinning an odd 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": "Originally born Seymour Kaufman, who helped create the musical revue Diamonds?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Cy Coleman",
"style": "rule"
}
|
{
"index": 3493,
"need_tools_kwargs": true,
"question": "Originally born Seymour Kaufman, who helped create the musical revue Diamonds?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 whose director was born first, Holy God, Here Comes The Passatore! or Stagecoach War?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Stagecoach War",
"style": "rule"
}
|
{
"index": 3494,
"need_tools_kwargs": true,
"question": "Which film whose director was born first, Holy God, Here Comes The Passatore! or Stagecoach War?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 worked with animation producer George Dunning and worked as Eric Porter's animation director?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Cam Ford",
"style": "rule"
}
|
{
"index": 3495,
"need_tools_kwargs": true,
"question": "Who worked with animation producer George Dunning and worked as Eric Porter's animation director?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "\"Classification discussion\" is an important mathematical thinking method. The following is the process of solving problems using the mathematical thinking of classification discussion. Please read carefully and answer the three questions raised after the problem. Example: Three rational numbers $a$, $b$, $c$ satisfy $abc \\gt 0$. Find the value of $\\frac{{|a|}}{a}+\\frac{{|b|}}{b}+\\frac{{|c|}}{c}$. \nSolution: According to the problem, the three rational numbers $a$, $b$, $c$ are all positive numbers or one of them is positive and the other two are negative. \n① When $a$, $b$, $c$ are all positive numbers, i.e., $a \\gt 0$, $b \\gt 0$, $c \\gt 0$, \nthen: $\\frac{{|a|}}{a}+\\frac{{|b|}}{b}+\\frac{{|c|}}{c}=\\frac{a}{a}+\\frac{b}{b}+\\frac{c}{c}=1+1+1=3$; \n② When $a$, $b$, $c$ have one positive number and the other two are negative numbers, let $a \\gt 0$, $b \\lt 0$, $c \\lt 0$, \nthen: $\\frac{{|a|}}{a}+\\frac{{|b|}}{b}+\\frac{{|c|}}{c}=\\frac{a}{a}+\\frac{{-b}}{b}+\\frac{{-c}}{c}=1+(-1)+(-1)=-1$; \nIn summary, the value of $\\frac{{|a|}}{a}+\\frac{{|b|}}{b}+\\frac{{|c|}}{c}$ is $3$ or $-1$. \nPlease answer the following questions based on the above problem-solving ideas: \n$(1)$ Given $|a|=3$, $|b|=1$, and $a \\lt b$, find the value of $a+b$. \n$(2)$ Given $a$, $b$ are rational numbers, when $ab\\neq 0$, find the value of $\\frac{a}{{|a|}}+\\frac{b}{{|b|}}$. \n$(3)$ Given $a$, $b$, $c$ are rational numbers, $a+b+c=0$, $abc \\lt 0$. Find the value of $\\frac{{b+c}}{{|a|}}+\\frac{{a+c}}{{|b|}}+\\frac{{a+b}}{{|c|}}$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "-1",
"style": "rule"
}
|
{
"index": 3496,
"need_tools_kwargs": true,
"question": "\"Classification discussion\" is an important mathematical thinking method. The following is the process of solving problems using the mathematical thinking of classification discussion. Please read carefully and answer the three questions raised after the problem. Example: Three rational numbers $a$, $b$, $c$ satisfy $abc \\gt 0$. Find the value of $\\frac{{|a|}}{a}+\\frac{{|b|}}{b}+\\frac{{|c|}}{c}$. \nSolution: According to the problem, the three rational numbers $a$, $b$, $c$ are all positive numbers or one of them is positive and the other two are negative. \n① When $a$, $b$, $c$ are all positive numbers, i.e., $a \\gt 0$, $b \\gt 0$, $c \\gt 0$, \nthen: $\\frac{{|a|}}{a}+\\frac{{|b|}}{b}+\\frac{{|c|}}{c}=\\frac{a}{a}+\\frac{b}{b}+\\frac{c}{c}=1+1+1=3$; \n② When $a$, $b$, $c$ have one positive number and the other two are negative numbers, let $a \\gt 0$, $b \\lt 0$, $c \\lt 0$, \nthen: $\\frac{{|a|}}{a}+\\frac{{|b|}}{b}+\\frac{{|c|}}{c}=\\frac{a}{a}+\\frac{{-b}}{b}+\\frac{{-c}}{c}=1+(-1)+(-1)=-1$; \nIn summary, the value of $\\frac{{|a|}}{a}+\\frac{{|b|}}{b}+\\frac{{|c|}}{c}$ is $3$ or $-1$. \nPlease answer the following questions based on the above problem-solving ideas: \n$(1)$ Given $|a|=3$, $|b|=1$, and $a \\lt b$, find the value of $a+b$. \n$(2)$ Given $a$, $b$ are rational numbers, when $ab\\neq 0$, find the value of $\\frac{a}{{|a|}}+\\frac{b}{{|b|}}$. \n$(3)$ Given $a$, $b$, $c$ are rational numbers, $a+b+c=0$, $abc \\lt 0$. Find the value of $\\frac{{b+c}}{{|a|}}+\\frac{{a+c}}{{|b|}}+\\frac{{a+b}}{{|c|}}$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What profession is shared by Paul Thomas Anderson and Russell DeGrazier?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "filmmaker",
"style": "rule"
}
|
{
"index": 3497,
"need_tools_kwargs": true,
"question": "What profession is shared by Paul Thomas Anderson and Russell DeGrazier?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Brazilian IMO leader chooses two natural numbers \\( n \\) and \\( k \\) with \\( n > k \\), and tells these numbers to his Deputy and a participant. Then, the leader whispers a binary sequence of length \\( n \\) into the Deputy's ear. The Deputy writes down all binary sequences of length \\( n \\) that differ from the leader's sequence at exactly \\( k \\) positions. (Example for \\( n = 3 \\) and \\( k = 1 \\): If the leader chooses 101, the Deputy writes down 001, 100, 111.) The participant looks at the sequences written down by the Deputy. The participant then tries to determine the original sequence chosen by the leader.\n\nHow many times must the participant guess (depending on \\( n \\) and \\( k \\)) to ensure that they have guessed correctly at least once?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 3498,
"need_tools_kwargs": true,
"question": "The Brazilian IMO leader chooses two natural numbers \\( n \\) and \\( k \\) with \\( n > k \\), and tells these numbers to his Deputy and a participant. Then, the leader whispers a binary sequence of length \\( n \\) into the Deputy's ear. The Deputy writes down all binary sequences of length \\( n \\) that differ from the leader's sequence at exactly \\( k \\) positions. (Example for \\( n = 3 \\) and \\( k = 1 \\): If the leader chooses 101, the Deputy writes down 001, 100, 111.) The participant looks at the sequences written down by the Deputy. The participant then tries to determine the original sequence chosen by the leader.\n\nHow many times must the participant guess (depending on \\( n \\) and \\( k \\)) to ensure that they have guessed correctly at least once?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 two boxes contains both black and white marbles, and the total number of marbles in the two boxes is $25.$ One marble is taken out of each box randomly. The probability that both marbles are black is $27/50,$ and the probability that both marbles are white is $m/n,$ where $m$ and $n$ are relatively prime positive integers. What is $m + n$?\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "26",
"style": "rule"
}
|
{
"index": 3499,
"need_tools_kwargs": true,
"question": "Each of two boxes contains both black and white marbles, and the total number of marbles in the two boxes is $25.$ One marble is taken out of each box randomly. The probability that both marbles are black is $27/50,$ and the probability that both marbles are white is $m/n,$ where $m$ and $n$ are relatively prime positive integers. What is $m + n$?\n",
"split": "train"
}
| null |
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