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": "Knights, who always tell the truth, and liars, who always lie, live on an island. One day, 65 islanders gathered for a meeting. Each of them made the following statement in turn: \"Among the statements made earlier, the true ones are exactly 20 less than the false ones.\" How many knights were present at this meeting?",
"role": "user"
}
] |
math
|
{
"ground_truth": "23",
"style": "rule"
}
|
{
"index": 4600,
"need_tools_kwargs": true,
"question": "Knights, who always tell the truth, and liars, who always lie, live on an island. One day, 65 islanders gathered for a meeting. Each of them made the following statement in turn: \"Among the statements made earlier, the true ones are exactly 20 less than the false ones.\" How many knights were present at this meeting?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $\\{b_k\\}$ be a sequence of integers where $b_1 = 2$ and $b_{m+n} = b_m + b_n + m^2 + n^2$ for all positive integers $m$ and $n$. Find $b_{12}$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "160",
"style": "rule"
}
|
{
"index": 4601,
"need_tools_kwargs": true,
"question": "Let $\\{b_k\\}$ be a sequence of integers where $b_1 = 2$ and $b_{m+n} = b_m + b_n + m^2 + n^2$ for all positive integers $m$ and $n$. Find $b_{12}$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Find the least positive integer $n$ for which there exists a set $\\{s_1,s_2,\\ldots,s_n\\}$ consisting of $n$ distinct positive integers such that\n$\\left(1-\\dfrac{1}{s_1}\\right)\\left(1-\\dfrac{1}{s_2}\\right)\\dots\\left(1-\\dfrac{1}{s_n}\\right)=\\dfrac{51}{2010}.$\nPlease provide the value of $n$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "39",
"style": "rule"
}
|
{
"index": 4602,
"need_tools_kwargs": true,
"question": "Find the least positive integer $n$ for which there exists a set $\\{s_1,s_2,\\ldots,s_n\\}$ consisting of $n$ distinct positive integers such that\n$\\left(1-\\dfrac{1}{s_1}\\right)\\left(1-\\dfrac{1}{s_2}\\right)\\dots\\left(1-\\dfrac{1}{s_n}\\right)=\\dfrac{51}{2010}.$\nPlease provide the value of $n$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "How many conflicts were the wars of which Thomas James Maling was a captain categorized?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "five",
"style": "rule"
}
|
{
"index": 4603,
"need_tools_kwargs": true,
"question": "How many conflicts were the wars of which Thomas James Maling was a captain categorized?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "设 $x 、 y 、 z \\in(0,1)$ ，满是\n$\\sqrt{\\frac{1-x}{y z}}+\\sqrt{\\frac{1-y}{z x}}+\\sqrt{\\frac{1-z}{x y}}=2$.\n求 $x y z$ 的最大值。\n已知答案的形式为\\(\\frac{m}{n}\\pi+p\\)，求m+n+p的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "91",
"style": "rule"
}
|
{
"index": 4604,
"need_tools_kwargs": true,
"question": "设 $x 、 y 、 z \\in(0,1)$ ，满是\n$\\sqrt{\\frac{1-x}{y z}}+\\sqrt{\\frac{1-y}{z x}}+\\sqrt{\\frac{1-z}{x y}}=2$.\n求 $x y z$ 的最大值。\n已知答案的形式为\\(\\frac{m}{n}\\pi+p\\)，求m+n+p的值。",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Did Gene Gallette and Ananda Everingham share the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 4605,
"need_tools_kwargs": true,
"question": "Did Gene Gallette and Ananda Everingham 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": "A set $S \\subseteq \\mathbb{N}$ satisfies the following conditions:\n\t\n(a) If $x, y \\in S$ (not necessarily distinct), then $x + y \\in S$ .\n(b) If $x$ is an integer and $2x \\in S$ , then $x \\in S$ .\n\nFind the number of pairs of integers $(a, b)$ with $1 \\le a, b\\le 50$ such that if $a, b \\in S$ then $S = \\mathbb{N}.$ *Proposed by Yang Liu*",
"role": "user"
}
] |
math
|
{
"ground_truth": "2068",
"style": "rule"
}
|
{
"index": 4606,
"need_tools_kwargs": true,
"question": "A set $S \\subseteq \\mathbb{N}$ satisfies the following conditions:\n\t\n(a) If $x, y \\in S$ (not necessarily distinct), then $x + y \\in S$ .\n(b) If $x$ is an integer and $2x \\in S$ , then $x \\in S$ .\n\nFind the number of pairs of integers $(a, b)$ with $1 \\le a, b\\le 50$ such that if $a, b \\in S$ then $S = \\mathbb{N}.$ *Proposed by Yang Liu*",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $f(x)=x^3+ax^2+bx+1$, its derivative $f'(x)$ satisfies $f'(1)=2a$, $f'(2)=-b$, where $a$ and $b$ are constants.\n\n(I) Find the values of $a$ and $b$;\n\n(II) Let $g(x)=f'(x)e^{-x}$, find the extreme values of the function $g(x)$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "15e^{-3}",
"style": "rule"
}
|
{
"index": 4607,
"need_tools_kwargs": true,
"question": "Given the function $f(x)=x^3+ax^2+bx+1$, its derivative $f'(x)$ satisfies $f'(1)=2a$, $f'(2)=-b$, where $a$ and $b$ are constants.\n\n(I) Find the values of $a$ and $b$;\n\n(II) Let $g(x)=f'(x)e^{-x}$, find the extreme values of the function $g(x)$.",
"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": "Between two musicians, Phil Mogg and Yoon Chae-kyung, who is older?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Phillip John Mogg",
"style": "rule"
}
|
{
"index": 4608,
"need_tools_kwargs": true,
"question": "Between two musicians, Phil Mogg and Yoon Chae-kyung, who is older?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 cause of death of director of film Brother Rat And A Baby?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "heart attack",
"style": "rule"
}
|
{
"index": 4609,
"need_tools_kwargs": true,
"question": "What is the cause of death of director of film Brother Rat And A 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": "Given that the focus of the parabola $x^2 = 8y$ is point F, and point P is on the parabola with $|PF| = 6$. Point Q is the intersection of the parabola's directrix and its axis of symmetry. Determine the area of triangle PFQ.\nA: $$20 \\sqrt {2}$$\nB: $$16 \\sqrt {2}$$\nC: $$12 \\sqrt {2}$$\nD: $$8 \\sqrt {2}$$",
"role": "user"
}
] |
math
|
{
"ground_truth": "8\\sqrt{2}",
"style": "rule"
}
|
{
"index": 4610,
"need_tools_kwargs": true,
"question": "Given that the focus of the parabola $x^2 = 8y$ is point F, and point P is on the parabola with $|PF| = 6$. Point Q is the intersection of the parabola's directrix and its axis of symmetry. Determine the area of triangle PFQ.\nA: $$20 \\sqrt {2}$$\nB: $$16 \\sqrt {2}$$\nC: $$12 \\sqrt {2}$$\nD: $$8 \\sqrt {2}$$",
"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": "What year saw releases of numerous video games including an action-adventure video game developed by Crystal Dynamics and published by Square Enix?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "year 2015",
"style": "rule"
}
|
{
"index": 4611,
"need_tools_kwargs": true,
"question": "What year saw releases of numerous video games including an action-adventure video game developed by Crystal Dynamics and published by Square Enix?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Dane Boedigheimer, who voices the title character, in the TV series, created the show with what other person?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Spencer Grove",
"style": "rule"
}
|
{
"index": 4612,
"need_tools_kwargs": true,
"question": "Dane Boedigheimer, who voices the title character, in the TV series, created the show with what other person?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Find the smallest positive integer whose cube ends in $528$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "428",
"style": "rule"
}
|
{
"index": 4613,
"need_tools_kwargs": true,
"question": "Find the smallest positive integer whose cube ends in $528$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which country the director of film News Of The World (Film) is from?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "British",
"style": "rule"
}
|
{
"index": 4614,
"need_tools_kwargs": true,
"question": "Which country the director of film News Of The World (Film) is from?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Simplify $\\sqrt{32670}$.The answer is in the form k\\sqrt{m}+n,. Please provide the value of k + m + n.",
"role": "user"
}
] |
math
|
{
"ground_truth": "63",
"style": "rule"
}
|
{
"index": 4615,
"need_tools_kwargs": true,
"question": "Simplify $\\sqrt{32670}$.The answer is in the form k\\sqrt{m}+n,. Please provide the value of k + m + n.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "During what war was the German bombing of St Mary's Park in London?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Second World War",
"style": "rule"
}
|
{
"index": 4616,
"need_tools_kwargs": true,
"question": "During what war was the German bombing of St Mary's Park in London?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 circles touch each other internally at point K. The chord \\(A B\\) of the larger circle is tangent to the smaller circle at point \\(L\\), and \\(A L = 10\\). Find \\(B L\\) if \\(A K: B K = 2: 5\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "25",
"style": "rule"
}
|
{
"index": 4617,
"need_tools_kwargs": true,
"question": "Two circles touch each other internally at point K. The chord \\(A B\\) of the larger circle is tangent to the smaller circle at point \\(L\\), and \\(A L = 10\\). Find \\(B L\\) if \\(A K: B K = 2: 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": "What nationality is the director of film Swing Shift Maisie?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American",
"style": "rule"
}
|
{
"index": 4618,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Swing Shift Maisie?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 islands are in the island group where Steven Raymond Christian was born ?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "four",
"style": "rule"
}
|
{
"index": 4619,
"need_tools_kwargs": true,
"question": "How many islands are in the island group where Steven Raymond Christian was 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": "Which organization runs the Christian feast day celebrated on 13 December in Advent?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Samfundet Folkhälsan",
"style": "rule"
}
|
{
"index": 4620,
"need_tools_kwargs": true,
"question": "Which organization runs the Christian feast day celebrated on 13 December in Advent?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 TechCrunch article suggest that there is no legislative remedy for AI risks and abuses, while the Engadget article indicates that President Biden and Congress are actively working on drafting legislation related to AI?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Yes",
"style": "rule"
}
|
{
"index": 4621,
"need_tools_kwargs": true,
"question": "Does the TechCrunch article suggest that there is no legislative remedy for AI risks and abuses, while the Engadget article indicates that President Biden and Congress are actively working on drafting legislation related to AI?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Write the decomposition of the vector $x$ in terms of the vectors $p, q, r$:\n\n$x=\\{-13 ; 2 ; 18\\}$\n\n$p=\\{1 ; 1 ; 4\\}$\n\n$q=\\{-3 ; 0 ; 2\\}$\n\n$r=\\{1 ; 2 ;-1\\}$",
"role": "user"
}
] |
math
|
{
"ground_truth": "x = 2p + 5q + 0r",
"style": "rule"
}
|
{
"index": 4622,
"need_tools_kwargs": true,
"question": "Write the decomposition of the vector $x$ in terms of the vectors $p, q, r$:\n\n$x=\\{-13 ; 2 ; 18\\}$\n\n$p=\\{1 ; 1 ; 4\\}$\n\n$q=\\{-3 ; 0 ; 2\\}$\n\n$r=\\{1 ; 2 ;-1\\}$",
"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": "What is the date of death of Félix Pollaczek's wife?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "22 March 1973",
"style": "rule"
}
|
{
"index": 4623,
"need_tools_kwargs": true,
"question": "What is the date of death of Félix Pollaczek'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": "Given that $(1+\\sin t)(1+\\cos t)=\\frac{9}{4}$ and\n$(1-\\sin t)(1-\\cos t)=\\frac{p}{q}-\\sqrt{r},$\nwhere $p, q,$ and $r$ are positive integers with $p$ and $q$ relatively prime, find $p+q+r.$",
"role": "user"
}
] |
math
|
{
"ground_truth": "7",
"style": "rule"
}
|
{
"index": 4624,
"need_tools_kwargs": true,
"question": "Given that $(1+\\sin t)(1+\\cos t)=\\frac{9}{4}$ and\n$(1-\\sin t)(1-\\cos t)=\\frac{p}{q}-\\sqrt{r},$\nwhere $p, q,$ and $r$ are positive integers with $p$ and $q$ relatively prime, find $p+q+r.$",
"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": "函数 f(x)=\\sqrt{x^2+\\left(\\df{x^2}{4}-2\\right)^2}+\\sqrt{x^2+\\left(\\df{x^2}{4}-1\\right)^2} 的最小值为__________.",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 4625,
"need_tools_kwargs": true,
"question": "函数 f(x)=\\sqrt{x^2+\\left(\\df{x^2}{4}-2\\right)^2}+\\sqrt{x^2+\\left(\\df{x^2}{4}-1\\right)^2} 的最小值为__________.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What 43-year-old pornographic actress and sex educator co-hosted the 24th AVN Awards?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Jessica Drake",
"style": "rule"
}
|
{
"index": 4626,
"need_tools_kwargs": true,
"question": "What 43-year-old pornographic actress and sex educator co-hosted the 24th AVN Awards?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $V$ be the collection of all quadratic polynomials $P$ with real coefficients such that $|P(x)| \\leqq 1$ for all $x$ on the closed interval $[0,1]$. Determine\n$$\n\\sup \\left\\{\\left|P^{\\prime}(0)\\right|: P \\in V\\right\\}\n$$",
"role": "user"
}
] |
math
|
{
"ground_truth": "8",
"style": "rule"
}
|
{
"index": 4627,
"need_tools_kwargs": true,
"question": "Let $V$ be the collection of all quadratic polynomials $P$ with real coefficients such that $|P(x)| \\leqq 1$ for all $x$ on the closed interval $[0,1]$. Determine\n$$\n\\sup \\left\\{\\left|P^{\\prime}(0)\\right|: P \\in V\\right\\}\n$$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In the picture, arrows mark the entrance and exit of a maze. Movement is allowed such that on this picture you can only move to the right, down, or up (turning back is not allowed). How many different paths can one take through this maze?",
"role": "user"
}
] |
math
|
{
"ground_truth": "16",
"style": "rule"
}
|
{
"index": 4628,
"need_tools_kwargs": true,
"question": "In the picture, arrows mark the entrance and exit of a maze. Movement is allowed such that on this picture you can only move to the right, down, or up (turning back is not allowed). How many different paths can one take through this maze?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 old was Shanice when she appeared in a commercial with Ella Fitzgerald?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "9",
"style": "rule"
}
|
{
"index": 4629,
"need_tools_kwargs": true,
"question": "How old was Shanice when she appeared in a commercial with Ella Fitzgerald?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In a WeChat group, members A, B, C, D, and E simultaneously grab 4 red envelopes. Each person can grab at most one red envelope, and all red envelopes are grabbed. Among the 4 red envelopes, there are two worth 2 yuan and two worth 3 yuan (red envelopes with the same amount are considered the same). The number of situations where both A and B grab a red envelope is \\_\\_\\_\\_\\_\\_ (Answer in digits).",
"role": "user"
}
] |
math
|
{
"ground_truth": "18",
"style": "rule"
}
|
{
"index": 4630,
"need_tools_kwargs": true,
"question": "In a WeChat group, members A, B, C, D, and E simultaneously grab 4 red envelopes. Each person can grab at most one red envelope, and all red envelopes are grabbed. Among the 4 red envelopes, there are two worth 2 yuan and two worth 3 yuan (red envelopes with the same amount are considered the same). The number of situations where both A and B grab a red envelope is \\_\\_\\_\\_\\_\\_ (Answer in 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": "Ultu Ulla is the fourth studio album by a band formed in which year ?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "2009",
"style": "rule"
}
|
{
"index": 4631,
"need_tools_kwargs": true,
"question": "Ultu Ulla is the fourth studio album by a band formed in which year ?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The Pua'a Ka'a State Wayside Park is located along a highway that is how many miles long?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "64.4 mi long",
"style": "rule"
}
|
{
"index": 4632,
"need_tools_kwargs": true,
"question": "The Pua'a Ka'a State Wayside Park is located along a highway that is how many miles long?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given a circle $\\odot(O, r)$ with radius $r$ that contains a set $N$ of $n$ points, where the minimum distance between any two points in $N$ is $a$. Find the maximum value of $n$ when $a$ is (1) $\\sqrt{3} r$, (2) $\\sqrt{2} r$, and (3) $r$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 4633,
"need_tools_kwargs": true,
"question": "Given a circle $\\odot(O, r)$ with radius $r$ that contains a set $N$ of $n$ points, where the minimum distance between any two points in $N$ is $a$. Find the maximum value of $n$ when $a$ is (1) $\\sqrt{3} r$, (2) $\\sqrt{2} r$, and (3) $r$.",
"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": "Given $ \\frac {\\pi}{2} < \\alpha < \\pi$ and $0 < \\beta < \\frac {\\pi}{2}$, with $\\tan \\alpha= -\\frac {3}{4}$ and $\\cos (\\beta-\\alpha)= \\frac {5}{13}$, find the value of $\\sin \\beta$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac {63}{65}",
"style": "rule"
}
|
{
"index": 4634,
"need_tools_kwargs": true,
"question": "Given $ \\frac {\\pi}{2} < \\alpha < \\pi$ and $0 < \\beta < \\frac {\\pi}{2}$, with $\\tan \\alpha= -\\frac {3}{4}$ and $\\cos (\\beta-\\alpha)= \\frac {5}{13}$, find the value of $\\sin \\beta$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Calculate the integral \\(\\int_{C} e^{\\bar{z}} d z\\), where \\(C\\) is the line segment \\(y=-x\\) connecting the points \\(z_{1}=0\\) and \\(z_{2}=\\pi-i \\pi\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "i(1 + \\exp(\\pi))",
"style": "rule"
}
|
{
"index": 4635,
"need_tools_kwargs": true,
"question": "Calculate the integral \\(\\int_{C} e^{\\bar{z}} d z\\), where \\(C\\) is the line segment \\(y=-x\\) connecting the points \\(z_{1}=0\\) and \\(z_{2}=\\pi-i \\pi\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A convex quadrilateral $EFGH$ has an area of $2500$. In its interior lies a point $Q$ such that $QE = 30, QF = 40, QG = 35, QH = 50$. The diagonal $EG$ bisects diagonal $FH$. Find the perimeter of $EFGH$.\nA) 205\nB) 228\nC) 240\nD) 255\nE) 265",
"role": "user"
}
] |
math
|
{
"ground_truth": "228",
"style": "rule"
}
|
{
"index": 4636,
"need_tools_kwargs": true,
"question": "A convex quadrilateral $EFGH$ has an area of $2500$. In its interior lies a point $Q$ such that $QE = 30, QF = 40, QG = 35, QH = 50$. The diagonal $EG$ bisects diagonal $FH$. Find the perimeter of $EFGH$.\nA) 205\nB) 228\nC) 240\nD) 255\nE) 265",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 murder victims were found on a 1000 acre+ preserve located in Allenstown, New Hampshire?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "four",
"style": "rule"
}
|
{
"index": 4637,
"need_tools_kwargs": true,
"question": "How many murder victims were found on a 1000 acre+ preserve located in Allenstown, New Hampshire?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 George and Martha sereis of childrens books feature an animal whose name comes from an ancient Greek word that means what?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "\"river horse\"",
"style": "rule"
}
|
{
"index": 4638,
"need_tools_kwargs": true,
"question": "The George and Martha sereis of childrens books feature an animal whose name comes from an ancient Greek word that means what?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which Golden Globe winning actor trained at the National Youth Center in Great Britain?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Idris Elba",
"style": "rule"
}
|
{
"index": 4639,
"need_tools_kwargs": true,
"question": "Which Golden Globe winning actor trained at the National Youth Center in Great Britain?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given that the sequence $\\{a_n\\}$ is a geometric sequence, and $a_2 \\cdot a_4 = 2a_3 - 1$, find the value of $a_3$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "a_3 = 1",
"style": "rule"
}
|
{
"index": 4640,
"need_tools_kwargs": true,
"question": "Given that the sequence $\\{a_n\\}$ is a geometric sequence, and $a_2 \\cdot a_4 = 2a_3 - 1$, find the value of $a_3$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of death of the performer of song Ooh I Do?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1 October 2014",
"style": "rule"
}
|
{
"index": 4641,
"need_tools_kwargs": true,
"question": "What is the date of death of the performer of song Ooh I Do?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 area of trapezoid \\( ABCD \\) is \\( 164 \\text{ cm}^2 \\). The altitude is \\( 8 \\text{ cm} \\), \\( AB \\) measures \\( 10 \\text{ cm} \\), and \\( CD \\) measures \\( 17 \\text{ cm} \\). Calculate the length of \\( BC \\) in centimeters.",
"role": "user"
}
] |
math
|
{
"ground_truth": "10",
"style": "rule"
}
|
{
"index": 4642,
"need_tools_kwargs": true,
"question": "The area of trapezoid \\( ABCD \\) is \\( 164 \\text{ cm}^2 \\). The altitude is \\( 8 \\text{ cm} \\), \\( AB \\) measures \\( 10 \\text{ cm} \\), and \\( CD \\) measures \\( 17 \\text{ cm} \\). Calculate the length of \\( BC \\) in centimeters.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Some people each took 5 tests. The ranges of their scores in the 5 practice tests were 17, 28, and 35, 45. The minimum possible range in scores of the test-takers is 45. How many people took the tests?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 4643,
"need_tools_kwargs": true,
"question": "Some people each took 5 tests. The ranges of their scores in the 5 practice tests were 17, 28, and 35, 45. The minimum possible range in scores of the test-takers is 45. How many people took the tests?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 American public research university in the Las Vegas suburb of Paradise, Nevada which houses the School of Dental Medicine represents which program which began on September 14, 1968 and is coached by former Bishop Gorman High School head coach, Tony Sanchez?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "UNLV Rebels football",
"style": "rule"
}
|
{
"index": 4644,
"need_tools_kwargs": true,
"question": "an American public research university in the Las Vegas suburb of Paradise, Nevada which houses the School of Dental Medicine represents which program which began on September 14, 1968 and is coached by former Bishop Gorman High School head coach, Tony Sanchez?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 career record of the coach who the Gagliardi Trophy is named for?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "489–138–11",
"style": "rule"
}
|
{
"index": 4645,
"need_tools_kwargs": true,
"question": "What is the career record of the coach who the Gagliardi Trophy is named for?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 positive integers \\( n \\) such that there exists a permutation \\( a_1, a_2, \\ldots, a_n \\) of \\(\\{1, 2, \\ldots, n\\}\\) satisfying the condition that the remainders of \\(0, a_1, a_1 + a_2, a_1 + a_2 + a_3, \\ldots, a_1 + a_2 + \\ldots + a_n\\) when divided by \\( n+1 \\) are all distinct.",
"role": "user"
}
] |
math
|
{
"ground_truth": "1, 3, 7, 15",
"style": "rule"
}
|
{
"index": 4646,
"need_tools_kwargs": true,
"question": "Find all positive integers \\( n \\) such that there exists a permutation \\( a_1, a_2, \\ldots, a_n \\) of \\(\\{1, 2, \\ldots, n\\}\\) satisfying the condition that the remainders of \\(0, a_1, a_1 + a_2, a_1 + a_2 + a_3, \\ldots, a_1 + a_2 + \\ldots + a_n\\) when divided by \\( n+1 \\) are all distinct.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $p, q$ 均为不大于 100 的正整数，若关于 $x$ 的方程 $x^{5}+p x+q=0$ 有有理根，则有序数组（ $p$ ， $q$ ) 的组数是多少？",
"role": "user"
}
] |
math
|
{
"ground_truth": "133",
"style": "rule"
}
|
{
"index": 4647,
"need_tools_kwargs": true,
"question": "已知 $p, q$ 均为不大于 100 的正整数，若关于 $x$ 的方程 $x^{5}+p x+q=0$ 有有理根，则有序数组（ $p$ ， $q$ ) 的组数是多少？",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 distance between the two intersections of $x=y^4$ and $x+y^2=1$ is $\\sqrt{u+v\\sqrt5}$. Find the ordered pair, $(u,v)$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "(-2,2)",
"style": "rule"
}
|
{
"index": 4648,
"need_tools_kwargs": true,
"question": "The distance between the two intersections of $x=y^4$ and $x+y^2=1$ is $\\sqrt{u+v\\sqrt5}$. Find the ordered pair, $(u,v)$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "There are coins of $1, 2, 3,$ and 5 cruzeiros, one of each denomination, which, if they are genuine, weigh 1, 2, 3, and 5 grams respectively. It turned out that one of them is counterfeit, differing in weight from the normal one (but it is not known whether it is heavier or lighter). How can the counterfeit coin be identified with the minimum number of weighings using a balance scale without weights?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 4649,
"need_tools_kwargs": true,
"question": "There are coins of $1, 2, 3,$ and 5 cruzeiros, one of each denomination, which, if they are genuine, weigh 1, 2, 3, and 5 grams respectively. It turned out that one of them is counterfeit, differing in weight from the normal one (but it is not known whether it is heavier or lighter). How can the counterfeit coin be identified with the minimum number of weighings using a balance scale without weights?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 most popular hotel in the location of the Miss Universe 1995 pageant?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Windhoek Country Club Resort",
"style": "rule"
}
|
{
"index": 4650,
"need_tools_kwargs": true,
"question": "What is the most popular hotel in the location of the Miss Universe 1995 pageant?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Solve for $y$: $4+2.3y = 1.7y - 20$",
"role": "user"
}
] |
math
|
{
"ground_truth": "-40.0",
"style": "rule"
}
|
{
"index": 4651,
"need_tools_kwargs": true,
"question": "Solve for $y$: $4+2.3y = 1.7y - 20$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "This 1997 American superhero film starred an American Actress who mader her film debut in what movie?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "The Crush",
"style": "rule"
}
|
{
"index": 4652,
"need_tools_kwargs": true,
"question": "This 1997 American superhero film starred an American Actress who mader her film debut in what movie?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 four distinct points \\( P_{1}, P_{2}, P_{3}, P_{4} \\) on a plane, find the minimum value of the ratio \\( \\frac{\\sum_{1 \\leqslant i<j \\leqslant 4} P_{i} P_{j}}{\\min_{1 \\leqslant j \\leqslant 4} P_{i} P_{j}} \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "5+\\sqrt{3}",
"style": "rule"
}
|
{
"index": 4653,
"need_tools_kwargs": true,
"question": "For four distinct points \\( P_{1}, P_{2}, P_{3}, P_{4} \\) on a plane, find the minimum value of the ratio \\( \\frac{\\sum_{1 \\leqslant i<j \\leqslant 4} P_{i} P_{j}}{\\min_{1 \\leqslant j \\leqslant 4} P_{i} P_{j}} \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $30^\\circ$-$60^\\circ$-$90^\\circ$ triangle is drawn on the exterior of an equilateral triangle so the hypotenuse of the right triangle is one side of the equilateral triangle. If the shorter leg of the right triangle is 6 units, what is the distance between the two vertices that the triangles do not have in common? Express your answer in simplest radical form. [asy]\ndraw((2,0)--(0,0)--(1,1.732)--(2,1.732)--(2,0)--(1,1.732));\ndraw((2,1.632)--(1.9,1.632)--(1.9,1.732));\nlabel(\"$60^\\circ$\",(1,1.732),2SE+E);\nlabel(\"$30^\\circ$\",(2,0),5NNW+4N);\nlabel(\"6\",(1.5,1.732),N);\n[/asy]The answer is in the form k\\sqrt{m}+n,. Please provide the value of k + m + n.",
"role": "user"
}
] |
math
|
{
"ground_truth": "13",
"style": "rule"
}
|
{
"index": 4654,
"need_tools_kwargs": true,
"question": "A $30^\\circ$-$60^\\circ$-$90^\\circ$ triangle is drawn on the exterior of an equilateral triangle so the hypotenuse of the right triangle is one side of the equilateral triangle. If the shorter leg of the right triangle is 6 units, what is the distance between the two vertices that the triangles do not have in common? Express your answer in simplest radical form. [asy]\ndraw((2,0)--(0,0)--(1,1.732)--(2,1.732)--(2,0)--(1,1.732));\ndraw((2,1.632)--(1.9,1.632)--(1.9,1.732));\nlabel(\"$60^\\circ$\",(1,1.732),2SE+E);\nlabel(\"$30^\\circ$\",(2,0),5NNW+4N);\nlabel(\"6\",(1.5,1.732),N);\n[/asy]The answer is in the form k\\sqrt{m}+n,. Please provide the value of k + m + n.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What type of team did Enrique Bernoldi join his rookie year?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "a British Formula One team",
"style": "rule"
}
|
{
"index": 4655,
"need_tools_kwargs": true,
"question": "What type of team did Enrique Bernoldi join his rookie 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": "At Central Middle School, the $150$ students who participate in the Math Club plan to gather for a game night. Due to an overlapping school event, attendance is expected to drop by $40\\%$. Walter and Gretel are preparing cookies using a new recipe that makes $18$ cookies per batch. The other details remain the same. How many full recipes should they prepare?",
"role": "user"
}
] |
math
|
{
"ground_truth": "10",
"style": "rule"
}
|
{
"index": 4656,
"need_tools_kwargs": true,
"question": "At Central Middle School, the $150$ students who participate in the Math Club plan to gather for a game night. Due to an overlapping school event, attendance is expected to drop by $40\\%$. Walter and Gretel are preparing cookies using a new recipe that makes $18$ cookies per batch. The other details remain the same. How many full recipes should they prepare?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 graph below shows the total accumulated dollars (in millions) spent by the Surf City government during $1988$. For example, about $.5$ million had been spent by the beginning of February and approximately $2$ million by the end of April. Approximately how many millions of dollars were spent during the summer months of June, July, and August?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2.5",
"style": "rule"
}
|
{
"index": 4657,
"need_tools_kwargs": true,
"question": "The graph below shows the total accumulated dollars (in millions) spent by the Surf City government during $1988$. For example, about $.5$ million had been spent by the beginning of February and approximately $2$ million by the end of April. Approximately how many millions of dollars were spent during the summer months of June, July, and August?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 contributer to the ballet Slice to Sharp was born in Venice?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Antonio Vivaldi",
"style": "rule"
}
|
{
"index": 4658,
"need_tools_kwargs": true,
"question": "Which contributer to the ballet Slice to Sharp was born in Venice?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "设函数 $f(x)=x^{3}+a x^{2}+b x+c(a 、 b 、 c$均为非零整数). 若 $f(a)=a^{3}, f(b)=b^{3}$, 则求$c$的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "16",
"style": "rule"
}
|
{
"index": 4659,
"need_tools_kwargs": true,
"question": "设函数 $f(x)=x^{3}+a x^{2}+b x+c(a 、 b 、 c$均为非零整数). 若 $f(a)=a^{3}, f(b)=b^{3}$, 则求$c$的值。",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "If $f(x) = e^{x} + ae^{-x}$ is an even function, then the solution set of $f(x-1) < e + e^{-1}$ is $(\\quad)$ \nA: $(2,+\\infty)$ \nB: $(-\\infty,2)$ \nC: $(0,2)$ \nD: $(-\\infty,0)\\cup(2,+\\infty)$",
"role": "user"
}
] |
math
|
{
"ground_truth": "(0,2)",
"style": "rule"
}
|
{
"index": 4660,
"need_tools_kwargs": true,
"question": "If $f(x) = e^{x} + ae^{-x}$ is an even function, then the solution set of $f(x-1) < e + e^{-1}$ is $(\\quad)$ \nA: $(2,+\\infty)$ \nB: $(-\\infty,2)$ \nC: $(0,2)$ \nD: $(-\\infty,0)\\cup(2,+\\infty)$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Calculate $\\frac{1}{6} \\cdot \\frac{2}{7} \\cdot \\frac{3}{8} \\cdot \\frac{4}{9} \\cdots \\frac{49}{54} \\cdot \\frac{50}{55} \\cdot \\frac{51}{56} \\cdot \\frac{52}{57} \\cdot \\frac{53}{58}$. Express your answer as a common fraction.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{1}{27720}",
"style": "rule"
}
|
{
"index": 4661,
"need_tools_kwargs": true,
"question": "Calculate $\\frac{1}{6} \\cdot \\frac{2}{7} \\cdot \\frac{3}{8} \\cdot \\frac{4}{9} \\cdots \\frac{49}{54} \\cdot \\frac{50}{55} \\cdot \\frac{51}{56} \\cdot \\frac{52}{57} \\cdot \\frac{53}{58}$. Express your answer as a common fraction.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $a$ and $b$ be two-digit positive integers. Find the greatest possible value of $a+b$, given that the greatest common factor of $a$ and $b$ is $6$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "186",
"style": "rule"
}
|
{
"index": 4662,
"need_tools_kwargs": true,
"question": "Let $a$ and $b$ be two-digit positive integers. Find the greatest possible value of $a+b$, given that the greatest common factor of $a$ and $b$ is $6$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 population in 2016 of the city where Walter Fellows was born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "12,909",
"style": "rule"
}
|
{
"index": 4663,
"need_tools_kwargs": true,
"question": "What was the population in 2016 of the city where Walter Fellows was 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": "设函数$f(x)=\\cos x \\cdot \\cos (x-\\theta)-\\frac{1}{2} \\cos \\theta$其中， $x \\in \\mathbf{R}, 0<\\theta<\\pi$. 已知当 $x=\\frac{\\pi}{3}$ 时， $f(x)$取得最大值。\n设 $g(x)=2 f\\left(\\frac{3}{2} x\\right)$, 求函数 $g(x)$ 在 $\\left[0, \\frac{\\pi}{3}\\right]$ 上的最小值。已知答案的形式为 -\\frac{k}{m}，请给出 k+m 的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 4664,
"need_tools_kwargs": true,
"question": "设函数$f(x)=\\cos x \\cdot \\cos (x-\\theta)-\\frac{1}{2} \\cos \\theta$其中， $x \\in \\mathbf{R}, 0<\\theta<\\pi$. 已知当 $x=\\frac{\\pi}{3}$ 时， $f(x)$取得最大值。\n设 $g(x)=2 f\\left(\\frac{3}{2} x\\right)$, 求函数 $g(x)$ 在 $\\left[0, \\frac{\\pi}{3}\\right]$ 上的最小值。已知答案的形式为 -\\frac{k}{m}，请给出 k+m 的值。",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The set \\( A \\) consists of integers, with the smallest element being 1 and the largest being 100. Except for 1, every element is equal to the sum of two (not necessarily distinct) elements from the set \\( A \\). Find the minimum number of elements in set \\( A \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "9",
"style": "rule"
}
|
{
"index": 4665,
"need_tools_kwargs": true,
"question": "The set \\( A \\) consists of integers, with the smallest element being 1 and the largest being 100. Except for 1, every element is equal to the sum of two (not necessarily distinct) elements from the set \\( A \\). Find the minimum number of elements in set \\( 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": "A calculator has digits from 0 to 9 and signs of two operations. Initially, the display shows the number 0. You can press any keys. The calculator performs operations in the sequence of keystrokes. If an operation sign is pressed several times in a row, the calculator remembers only the last press. A distracted Scientist pressed many buttons in a random sequence. Find approximately the probability that the result of the resulting sequence of actions is an odd number?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{1}{3}",
"style": "rule"
}
|
{
"index": 4666,
"need_tools_kwargs": true,
"question": "A calculator has digits from 0 to 9 and signs of two operations. Initially, the display shows the number 0. You can press any keys. The calculator performs operations in the sequence of keystrokes. If an operation sign is pressed several times in a row, the calculator remembers only the last press. A distracted Scientist pressed many buttons in a random sequence. Find approximately the probability that the result of the resulting sequence of actions is 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": "How many four-digit numbers can be formed using the digits $1$, $9$, $8$, and $8$ that leave a remainder of 8 when divided by 11?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"index": 4667,
"need_tools_kwargs": true,
"question": "How many four-digit numbers can be formed using the digits $1$, $9$, $8$, and $8$ that leave a remainder of 8 when divided by 11?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 vectors $\\overrightarrow{a}=(2,3)$, $\\overrightarrow{b}=(-1,2)$, if $m\\overrightarrow{a}+\\overrightarrow{b}$ is parallel to $\\overrightarrow{a}-2\\overrightarrow{b}$, then the real number $m$ equals __.\nA: $\\frac{1}{2}$\nB: $- \\frac{1}{2}$\nC: 2\nD: -2",
"role": "user"
}
] |
math
|
{
"ground_truth": "B\\, (-\\frac{1}{2})",
"style": "rule"
}
|
{
"index": 4668,
"need_tools_kwargs": true,
"question": "Given vectors $\\overrightarrow{a}=(2,3)$, $\\overrightarrow{b}=(-1,2)$, if $m\\overrightarrow{a}+\\overrightarrow{b}$ is parallel to $\\overrightarrow{a}-2\\overrightarrow{b}$, then the real number $m$ equals __.\nA: $\\frac{1}{2}$\nB: $- \\frac{1}{2}$\nC: 2\nD: -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": "What is the date of death of the founder of university Ghent University?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "12 December 1843",
"style": "rule"
}
|
{
"index": 4669,
"need_tools_kwargs": true,
"question": "What is the date of death of the founder of university Ghent University?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 the parabola \\( y = x^{2} + p x + q \\) is tangent to the line \\( y = 2x - 3 \\) at the point \\( M(2, 1) \\). Find \\( p \\) and \\( q \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"index": 4670,
"need_tools_kwargs": true,
"question": "It is known that the parabola \\( y = x^{2} + p x + q \\) is tangent to the line \\( y = 2x - 3 \\) at the point \\( M(2, 1) \\). Find \\( p \\) and \\( q \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 State Reasons die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Paris",
"style": "rule"
}
|
{
"index": 4671,
"need_tools_kwargs": true,
"question": "Where did the director of film State Reasons die?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who was the commencement speaker at Harvard in 2018?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "John Lewis",
"style": "rule"
}
|
{
"index": 4672,
"need_tools_kwargs": true,
"question": "Who was the commencement speaker at Harvard in 2018?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 king of Denmark and Norway had harsh restrictions imposed on him due to his close ties with Germany?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Frederick III",
"style": "rule"
}
|
{
"index": 4673,
"need_tools_kwargs": true,
"question": "Which king of Denmark and Norway had harsh restrictions imposed on him due to his close ties with Germany?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Azar, Carl, Jon, and Sergey are the four players left in a singles tennis tournament. They are randomly assigned opponents in the semifinal matches, and the winners of those matches play each other in the final match to determine the winner of the tournament. When Azar plays Carl, Azar will win the match with probability $\\frac23$ . When either Azar or Carl plays either Jon or Sergey, Azar or Carl will win the match with probability $\\frac34$ . Assume that outcomes of different matches are independent. The probability that Carl will win the tournament is $\\frac{p}{q}$ , where $p$ and $q$ are relatively prime positive integers. Find $p+q$ .",
"role": "user"
}
] |
math
|
{
"ground_truth": "125",
"style": "rule"
}
|
{
"index": 4674,
"need_tools_kwargs": true,
"question": "Azar, Carl, Jon, and Sergey are the four players left in a singles tennis tournament. They are randomly assigned opponents in the semifinal matches, and the winners of those matches play each other in the final match to determine the winner of the tournament. When Azar plays Carl, Azar will win the match with probability $\\frac23$ . When either Azar or Carl plays either Jon or Sergey, Azar or Carl will win the match with probability $\\frac34$ . Assume that outcomes of different matches are independent. The probability that Carl will win the tournament is $\\frac{p}{q}$ , where $p$ and $q$ are relatively prime positive integers. Find $p+q$ .",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Divide 20 numbers into two groups of equal size. The first group has a mean of 50 and a variance of 33, while the second group has a mean of 40 and a variance of 45. Find the standard deviation of the entire set of numbers.",
"role": "user"
}
] |
math
|
{
"ground_truth": "8",
"style": "rule"
}
|
{
"index": 4675,
"need_tools_kwargs": true,
"question": "Divide 20 numbers into two groups of equal size. The first group has a mean of 50 and a variance of 33, while the second group has a mean of 40 and a variance of 45. Find the standard deviation of the entire set of numbers.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What year was the man whose car failed to arrive to the 1950 Indianapolis 500 first the Italian champion?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1937",
"style": "rule"
}
|
{
"index": 4676,
"need_tools_kwargs": true,
"question": "What year was the man whose car failed to arrive to the 1950 Indianapolis 500 first the Italian champion?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "\\[ \\begin{array}{c} {x^{2} + y^{2} + z^{2} = 21} \\\\ {x + y + z + xyz = -3} \\\\ {x^{2} yz + y^{2} xz + z^{2} xy = -40} \\end{array} \\] Find the number of real triples \\( \\left(x,y,z\\right) \\) satisfying the above system.",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
|
{
"index": 4677,
"need_tools_kwargs": true,
"question": "\\[ \\begin{array}{c} {x^{2} + y^{2} + z^{2} = 21} \\\\ {x + y + z + xyz = -3} \\\\ {x^{2} yz + y^{2} xz + z^{2} xy = -40} \\end{array} \\] Find the number of real triples \\( \\left(x,y,z\\right) \\) satisfying the above system.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 are the names of the brothers who form the band behind the Flick of the Switch/Monsters of Rock Tour?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Malcolm and Angus Young",
"style": "rule"
}
|
{
"index": 4678,
"need_tools_kwargs": true,
"question": "What are the names of the brothers who form the band behind the Flick of the Switch/Monsters of Rock Tour?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 maximum value that the product of natural numbers, whose sum is equal to 2020, can take.",
"role": "user"
}
] |
math
|
{
"ground_truth": "1.68866 \\times 10^{321}",
"style": "rule"
}
|
{
"index": 4679,
"need_tools_kwargs": true,
"question": "Find the maximum value that the product of natural numbers, whose sum is equal to 2020, can take.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which country the director of film Money Hai Toh Honey Hai is from?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "India",
"style": "rule"
}
|
{
"index": 4680,
"need_tools_kwargs": true,
"question": "Which country the director of film Money Hai Toh Honey Hai is from?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who is the father of the composer of film Men In The City?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Michael Verhoeven",
"style": "rule"
}
|
{
"index": 4681,
"need_tools_kwargs": true,
"question": "Who is the father of the composer of film Men In The City?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "How many total lunar eclipses occurred on Earth in the year 1967?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 4682,
"need_tools_kwargs": true,
"question": "How many total lunar eclipses occurred on Earth in the year 1967?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the area in square units of the quadrilateral XYZW shown below? [asy]\nsize(200); defaultpen(linewidth(0.8));\npair X = (0,0), Y = 96*dir(45), Z = (Y.x + 32, Y.y), W = (Z.x,Z.y - 24);\ndraw(X--Y--Z--W--cycle);\ndraw(rightanglemark(Y,Z,W,100));\nlabel(\"$X$\",X,SW); label(\"$Y$\",Y,NW); label(\"$Z$\",Z,NE); label(\"$W$\",W,SE); label(\"96\",X--Y,NW); label(\"104\",X--W,SE); label(\"24\",Z--W,E); label(\"32\",Y--Z,N);\n[/asy]",
"role": "user"
}
] |
math
|
{
"ground_truth": "2304",
"style": "rule"
}
|
{
"index": 4683,
"need_tools_kwargs": true,
"question": "What is the area in square units of the quadrilateral XYZW shown below? [asy]\nsize(200); defaultpen(linewidth(0.8));\npair X = (0,0), Y = 96*dir(45), Z = (Y.x + 32, Y.y), W = (Z.x,Z.y - 24);\ndraw(X--Y--Z--W--cycle);\ndraw(rightanglemark(Y,Z,W,100));\nlabel(\"$X$\",X,SW); label(\"$Y$\",Y,NW); label(\"$Z$\",Z,NE); label(\"$W$\",W,SE); label(\"96\",X--Y,NW); label(\"104\",X--W,SE); label(\"24\",Z--W,E); label(\"32\",Y--Z,N);\n[/asy]",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What nationality is the performer of song Love Party?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American",
"style": "rule"
}
|
{
"index": 4684,
"need_tools_kwargs": true,
"question": "What nationality is the performer of song Love Party?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 director of film Let There Be Light (1946 Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Walter Huston",
"style": "rule"
}
|
{
"index": 4685,
"need_tools_kwargs": true,
"question": "Who is the father of the director of film Let There Be Light (1946 Film)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "How many films she acted who was in lead role of Siva?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "more than 200",
"style": "rule"
}
|
{
"index": 4686,
"need_tools_kwargs": true,
"question": "How many films she acted who was in lead role of Siva?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 operates the airport that Regent Airways is based at?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Civil Aviation Authority, Bangladesh",
"style": "rule"
}
|
{
"index": 4687,
"need_tools_kwargs": true,
"question": "Who operates the airport that Regent Airways is based at?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Ozell Jones played in the CBA for a team that was admitted to the CBA in what year ?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1982",
"style": "rule"
}
|
{
"index": 4688,
"need_tools_kwargs": true,
"question": "Ozell Jones played in the CBA for a team that was admitted to the CBA in what year ?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The 2011 TCU Horned Frogs football team, were led by which American football coach, and former player?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Gary Allen Patterson",
"style": "rule"
}
|
{
"index": 4689,
"need_tools_kwargs": true,
"question": "The 2011 TCU Horned Frogs football team, were led by which American football coach, and former player?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Collin learned that he could earn $0.25 per aluminum can that he brought into the recycling center. He found 12 cans at home, three times as many at his grandparents' house, his neighbor gave him 46 cans, and his dad brought home 250 cans from the office. His dad told him he could keep the money from the cans he brought home from the office if he promised to put half of his entire amount collected into savings. How much money would Collin have to put into savings?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\$43",
"style": "rule"
}
|
{
"index": 4690,
"need_tools_kwargs": true,
"question": "Collin learned that he could earn $0.25 per aluminum can that he brought into the recycling center. He found 12 cans at home, three times as many at his grandparents' house, his neighbor gave him 46 cans, and his dad brought home 250 cans from the office. His dad told him he could keep the money from the cans he brought home from the office if he promised to put half of his entire amount collected into savings. How much money would Collin have to put into savings?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Find the minimum value of\n$$\n\\max (a+b+c, b+c+d, c+d+e, d+e+f, e+f+g)\n$$\nsubject to the constraints\n(i) \\( a, b, c, d, e, f, g \\geq 0 \\),\n(ii) \\( a+b+c+d+e+f+g=1 \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{1}{3}",
"style": "rule"
}
|
{
"index": 4691,
"need_tools_kwargs": true,
"question": "Find the minimum value of\n$$\n\\max (a+b+c, b+c+d, c+d+e, d+e+f, e+f+g)\n$$\nsubject to the constraints\n(i) \\( a, b, c, d, e, f, g \\geq 0 \\),\n(ii) \\( a+b+c+d+e+f+g=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": "When was American actor and comedian which Saturday Night Live was known for born ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "February 15, 1964",
"style": "rule"
}
|
{
"index": 4692,
"need_tools_kwargs": true,
"question": "When was American actor and comedian which Saturday Night Live was known for 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": "Aaliyah rolls two standard $6$-sided dice. She notices that the product of the two numbers rolled is a multiple of $6$. Find the integer that cannot be the sum of the two numbers.",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
|
{
"index": 4693,
"need_tools_kwargs": true,
"question": "Aaliyah rolls two standard $6$-sided dice. She notices that the product of the two numbers rolled is a multiple of $6$. Find the integer that cannot be the sum of the two numbers.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is is the population of the county that contains the Edwin H. Armstrong House?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "949,113",
"style": "rule"
}
|
{
"index": 4694,
"need_tools_kwargs": true,
"question": "What is is the population of the county that contains the Edwin H. Armstrong House?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $\\triangle ABC$ be a triangle with points $D$, $M$, and $N$ on sides $BC$, $AB$, and $AC$, respectively. Suppose that $MD$ is parallel to $AC$ and $ND$ is parallel to $AB$. Given that the area of $\\triangle BMD$ is $9\\, \\text{cm}^2$ and the area of $\\triangle DNC$ is $25\\, \\text{cm}^2$, compute the area of $\\triangle AMN$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "15",
"style": "rule"
}
|
{
"index": 4695,
"need_tools_kwargs": true,
"question": "Let $\\triangle ABC$ be a triangle with points $D$, $M$, and $N$ on sides $BC$, $AB$, and $AC$, respectively. Suppose that $MD$ is parallel to $AC$ and $ND$ is parallel to $AB$. Given that the area of $\\triangle BMD$ is $9\\, \\text{cm}^2$ and the area of $\\triangle DNC$ is $25\\, \\text{cm}^2$, compute the area of $\\triangle AMN$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $135^\\circ < x < 180^\\circ$, points $P=(\\cos x, \\cos^2 x), Q=(\\cot x, \\cot^2 x), R=(\\sin x, \\sin^2 x)$ and $S =(\\tan x, \\tan^2 x)$ are the vertices of a trapezoid. The original answer is in the form $k - m\\sqrt{n}$. Please find the value of $k + m + n$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
|
{
"index": 4696,
"need_tools_kwargs": true,
"question": "For $135^\\circ < x < 180^\\circ$, points $P=(\\cos x, \\cos^2 x), Q=(\\cot x, \\cot^2 x), R=(\\sin x, \\sin^2 x)$ and $S =(\\tan x, \\tan^2 x)$ are the vertices of a trapezoid. The original answer is in the form $k - m\\sqrt{n}$. Please find the value of $k + m + n$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The sides of rectangle $EFGH$ have lengths $12$ and $13$. An equilateral triangle is drawn so that no point of the triangle lies outside $EFGH$. Find the maximum possible area of such a triangle.",
"role": "user"
}
] |
math
|
{
"ground_truth": "205 \\sqrt{3} - 468",
"style": "rule"
}
|
{
"index": 4697,
"need_tools_kwargs": true,
"question": "The sides of rectangle $EFGH$ have lengths $12$ and $13$. An equilateral triangle is drawn so that no point of the triangle lies outside $EFGH$. Find the maximum possible area of such a 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": "Determine the smallest integer $n > 1$ such that $n^2(n - 1)$ is divisible by 2009.",
"role": "user"
}
] |
math
|
{
"ground_truth": "42",
"style": "rule"
}
|
{
"index": 4698,
"need_tools_kwargs": true,
"question": "Determine the smallest integer $n > 1$ such that $n^2(n - 1)$ is divisible by 2009.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Do both films Santa Fe Rides and To Die In Madrid have the directors that share the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 4699,
"need_tools_kwargs": true,
"question": "Do both films Santa Fe Rides and To Die In Madrid have the directors that share the same nationality?",
"split": "train"
}
| null |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.