data_source
stringclasses 1
value | prompt
listlengths 2
2
| ability
stringclasses 2
values | reward_model
dict | extra_info
dict | metadata
null |
|---|---|---|---|---|---|
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What Scottish novelist created a character whose name is the title of a film starred in by Ozzie Devrish?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "J. M. Barrie",
"style": "rule"
}
|
{
"index": 3700,
"need_tools_kwargs": true,
"question": "What Scottish novelist created a character whose name is the title of a film starred in by Ozzie Devrish?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 sale price of sarees listed for Rs. 400 after four successive discounts of 15%, 8%, 7%, and 10% is?",
"role": "user"
}
] |
math
|
{
"ground_truth": "261.81",
"style": "rule"
}
|
{
"index": 3701,
"need_tools_kwargs": true,
"question": "The sale price of sarees listed for Rs. 400 after four successive discounts of 15%, 8%, 7%, and 10% is?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Assume that the Earth is a perfect sphere. A plane flies between $30^\\circ$ N $45^\\circ$ W and $30^\\circ$ N $45^\\circ$ E along the shortest possible route along the surface of the Earth. Let $\\theta$ be the northernmost latitude that the plane flies over. Compute $\\sin \\theta$. The original answer is in the form \\frac{\\sqrt{k}}{m}, please give the value of k + m.",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
|
{
"index": 3702,
"need_tools_kwargs": true,
"question": "Assume that the Earth is a perfect sphere. A plane flies between $30^\\circ$ N $45^\\circ$ W and $30^\\circ$ N $45^\\circ$ E along the shortest possible route along the surface of the Earth. Let $\\theta$ be the northernmost latitude that the plane flies over. Compute $\\sin \\theta$. The original answer is in the form \\frac{\\sqrt{k}}{m}, please give the value of k + m.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In a circle $\\omega$, triangle $ABC$ is inscribed with $AB=6$, $BC=8$, and $AC=4$. The bisector of angle $A$ intersects side $BC$ at point $D$ and circle $\\omega$ at another point $E$. Define $\\gamma$ as the circle with diameter $\\overline{DE}$. Circles $\\omega$ and $\\gamma$ intersect at $E$ and another point $F$. Determine $AF^2$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "AF^2 = \\frac{96}{25}",
"style": "rule"
}
|
{
"index": 3703,
"need_tools_kwargs": true,
"question": "In a circle $\\omega$, triangle $ABC$ is inscribed with $AB=6$, $BC=8$, and $AC=4$. The bisector of angle $A$ intersects side $BC$ at point $D$ and circle $\\omega$ at another point $E$. Define $\\gamma$ as the circle with diameter $\\overline{DE}$. Circles $\\omega$ and $\\gamma$ intersect at $E$ and another point $F$. Determine $AF^2$.",
"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": "Find the area bounded by the graph of $y = \\arcsin(\\cos x)$ and the $x$-axis on the interval $\\frac{\\pi}{4} \\le x \\le \\frac{9\\pi}{4}.$",
"role": "user"
}
] |
math
|
{
"ground_truth": "2\\pi^2",
"style": "rule"
}
|
{
"index": 3704,
"need_tools_kwargs": true,
"question": "Find the area bounded by the graph of $y = \\arcsin(\\cos x)$ and the $x$-axis on the interval $\\frac{\\pi}{4} \\le x \\le \\frac{9\\pi}{4}.$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Do director of film La Bellezza Di Ippolita and director of film Cuidado Con Las Colas share the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 3705,
"need_tools_kwargs": true,
"question": "Do director of film La Bellezza Di Ippolita and director of film Cuidado Con Las Colas 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": "Find the largest $K$ satisfying the following:\n\nGiven any closed intervals $A_1, \\ldots, A_N$ of length $1$ where $N$ is an arbitrary positive integer. If their union is $[0, 2021]$, then we can always find $K$ intervals from $A_1, \\ldots, A_N$ such that the intersection of any two of them is empty.",
"role": "user"
}
] |
math
|
{
"ground_truth": "1011",
"style": "rule"
}
|
{
"index": 3706,
"need_tools_kwargs": true,
"question": "Find the largest $K$ satisfying the following:\n\nGiven any closed intervals $A_1, \\ldots, A_N$ of length $1$ where $N$ is an arbitrary positive integer. If their union is $[0, 2021]$, then we can always find $K$ intervals from $A_1, \\ldots, A_N$ such that the intersection of any two of them is empty.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "设 $f(x)$ 是定义在 $(0,+\\infty)$ 上的单调函数, 对任意 $x>0$ 有 $f(x)>-\\frac{4}{x}, f\\left(f(x)+\\frac{4}{x}\\right)=3$,则 $f(8)=$ $\\frac{a}{b}$，请给出a+b的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "9",
"style": "rule"
}
|
{
"index": 3707,
"need_tools_kwargs": true,
"question": "设 $f(x)$ 是定义在 $(0,+\\infty)$ 上的单调函数, 对任意 $x>0$ 有 $f(x)>-\\frac{4}{x}, f\\left(f(x)+\\frac{4}{x}\\right)=3$,则 $f(8)=$ $\\frac{a}{b}$，请给出a+b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": "What nationality is the director of film Rustling A Bride?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American",
"style": "rule"
}
|
{
"index": 3708,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Rustling A Bride?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Do director of film The Heart Of Casanova and director of film Waterloo (1929 Film) have the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 3709,
"need_tools_kwargs": true,
"question": "Do director of film The Heart Of Casanova and director of film Waterloo (1929 Film) have the same nationality?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Are Ali Sarı and Max Raphael from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 3710,
"need_tools_kwargs": true,
"question": "Are Ali Sarı and Max Raphael from the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When did the director of film The Man With Nine Lives (Film) die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "June 19, 1979",
"style": "rule"
}
|
{
"index": 3711,
"need_tools_kwargs": true,
"question": "When did the director of film The Man With Nine Lives (Film) die?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In which year was the party that had been represented in the Styrian parliament since 2005 formed?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1918",
"style": "rule"
}
|
{
"index": 3712,
"need_tools_kwargs": true,
"question": "In which year was the party that had been represented in the Styrian parliament since 2005 formed?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let the probabilities of heads and tails be $p$ and $q=1-p$, respectively. Form the equation\n\n$$\nC_{10}^{7} p^{7} q^{3}=C_{10}^{6} p^{6} q^{4}\n$$\n\nfrom which it follows: $120 p=210 q ; \\frac{p}{q}=\\frac{7}{4} ; p=\\frac{7}{11}$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "p = \\frac{7}{11}, \\; q = \\frac{4}{11}",
"style": "rule"
}
|
{
"index": 3713,
"need_tools_kwargs": true,
"question": "Let the probabilities of heads and tails be $p$ and $q=1-p$, respectively. Form the equation\n\n$$\nC_{10}^{7} p^{7} q^{3}=C_{10}^{6} p^{6} q^{4}\n$$\n\nfrom which it follows: $120 p=210 q ; \\frac{p}{q}=\\frac{7}{4} ; p=\\frac{7}{11}$.",
"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": "Analogous to the exponentiation of rational numbers, we define the division operation of several identical rational numbers (all not equal to $0$) as \"division exponentiation,\" denoted as $a^{ⓝ}$, read as \"$a$ circle $n$ times.\" For example, $2\\div 2\\div 2$ is denoted as $2^{③}$, read as \"$2$ circle $3$ times\"; $\\left(-3\\right)\\div \\left(-3\\right)\\div \\left(-3\\right)\\div \\left(-3\\right)$ is denoted as $\\left(-3\\right)^{④}$, read as \"$-3$ circle $4$ times\".<br/>$(1)$ Write down the results directly: $2^{③}=$______, $(-\\frac{1}{2})^{④}=$______; <br/>$(2)$ Division exponentiation can also be converted into the form of powers, such as $2^{④}=2\\div 2\\div 2\\div 2=2\\times \\frac{1}{2}\\times \\frac{1}{2}\\times \\frac{1}{2}=(\\frac{1}{2})^{2}$. Try to directly write the following operation results in the form of powers: $\\left(-3\\right)^{④}=$______; ($\\frac{1}{2})^{⑩}=$______; $a^{ⓝ}=$______; <br/>$(3)$ Calculate: $2^{2}\\times (-\\frac{1}{3})^{④}\\div \\left(-2\\right)^{③}-\\left(-3\\right)^{②}$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "-73",
"style": "rule"
}
|
{
"index": 3714,
"need_tools_kwargs": true,
"question": "Analogous to the exponentiation of rational numbers, we define the division operation of several identical rational numbers (all not equal to $0$) as \"division exponentiation,\" denoted as $a^{ⓝ}$, read as \"$a$ circle $n$ times.\" For example, $2\\div 2\\div 2$ is denoted as $2^{③}$, read as \"$2$ circle $3$ times\"; $\\left(-3\\right)\\div \\left(-3\\right)\\div \\left(-3\\right)\\div \\left(-3\\right)$ is denoted as $\\left(-3\\right)^{④}$, read as \"$-3$ circle $4$ times\".<br/>$(1)$ Write down the results directly: $2^{③}=$______, $(-\\frac{1}{2})^{④}=$______; <br/>$(2)$ Division exponentiation can also be converted into the form of powers, such as $2^{④}=2\\div 2\\div 2\\div 2=2\\times \\frac{1}{2}\\times \\frac{1}{2}\\times \\frac{1}{2}=(\\frac{1}{2})^{2}$. Try to directly write the following operation results in the form of powers: $\\left(-3\\right)^{④}=$______; ($\\frac{1}{2})^{⑩}=$______; $a^{ⓝ}=$______; <br/>$(3)$ Calculate: $2^{2}\\times (-\\frac{1}{3})^{④}\\div \\left(-2\\right)^{③}-\\left(-3\\right)^{②}$.",
"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": "Angela won a contest and got $90 to spend at Puzzle Palace. She bought many wonderful puzzles and spent $78. How much money did she have left after buying the puzzles?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\$12",
"style": "rule"
}
|
{
"index": 3715,
"need_tools_kwargs": true,
"question": "Angela won a contest and got $90 to spend at Puzzle Palace. She bought many wonderful puzzles and spent $78. How much money did she have left after buying the puzzles?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 cube has a side length of \\( a \\). If one dimension of the cube is increased by \\( 2 \\), another is increased by \\( 1 \\), and the third is decreased by \\( 1 \\), the volume of the resulting rectangular solid is \\( 6 \\) less than that of the original cube. What was the volume of the original cube?",
"role": "user"
}
] |
math
|
{
"ground_truth": "8",
"style": "rule"
}
|
{
"index": 3716,
"need_tools_kwargs": true,
"question": "A cube has a side length of \\( a \\). If one dimension of the cube is increased by \\( 2 \\), another is increased by \\( 1 \\), and the third is decreased by \\( 1 \\), the volume of the resulting rectangular solid is \\( 6 \\) less than that of the original cube. What was the volume of the original cube?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which film has the director born later, Space Cowboys or Romanoff And Juliet (1961 Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Space Cowboys",
"style": "rule"
}
|
{
"index": 3717,
"need_tools_kwargs": true,
"question": "Which film has the director born later, Space Cowboys or Romanoff And Juliet (1961 Film)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The lead vocalist of rock band Drug Restaurant is also a member of the cast of a South Korean variety show that airs on what network?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "KBS2",
"style": "rule"
}
|
{
"index": 3718,
"need_tools_kwargs": true,
"question": "The lead vocalist of rock band Drug Restaurant is also a member of the cast of a South Korean variety show that airs on what network?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 British period drama did the actor who played Nathan Green in \"Pride and Joy\", act in?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Mr Selfridge",
"style": "rule"
}
|
{
"index": 3719,
"need_tools_kwargs": true,
"question": "What British period drama did the actor who played Nathan Green in \"Pride and Joy\", act in?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of death of the director of film The Devil Strikes At Night?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "10 March 1973",
"style": "rule"
}
|
{
"index": 3720,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film The Devil Strikes At Night?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A standard deck of 52 cards has 13 ranks (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King) and 4 suits ($\\spadesuit$, $\\heartsuit$, $\\diamondsuit$, $\\clubsuit$), each suit containing one of each rank. There are three face cards (Jack, Queen, King) per suit and nine number cards (Ace, 2-10) per suit. The deck is shuffled randomly. What is the probability that the top card is a face card and the second card is a number card?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{8}{49}",
"style": "rule"
}
|
{
"index": 3721,
"need_tools_kwargs": true,
"question": "A standard deck of 52 cards has 13 ranks (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King) and 4 suits ($\\spadesuit$, $\\heartsuit$, $\\diamondsuit$, $\\clubsuit$), each suit containing one of each rank. There are three face cards (Jack, Queen, King) per suit and nine number cards (Ace, 2-10) per suit. The deck is shuffled randomly. What is the probability that the top card is a face card and the second card is a number card?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 large is the nature reserve that encompasses the Molii pond?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "4000-acre",
"style": "rule"
}
|
{
"index": 3722,
"need_tools_kwargs": true,
"question": "How large is the nature reserve that encompasses the Molii pond?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 line $l$ passes through the point $(0,0)$ and has a slope of $2$, the equation of line $l$ is \\_\\_\\_\\_\\_\\_.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2x-y=0",
"style": "rule"
}
|
{
"index": 3723,
"need_tools_kwargs": true,
"question": "Given that line $l$ passes through the point $(0,0)$ and has a slope of $2$, the equation of line $l$ is \\_\\_\\_\\_\\_\\_.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When did the director of film Mourning Becomes Electra (Film) die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "January 4, 1960",
"style": "rule"
}
|
{
"index": 3724,
"need_tools_kwargs": true,
"question": "When did the director of film Mourning Becomes Electra (Film) die?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "If the complex number $\\frac {m^{2}+i}{1-mi}$ is a real number, then the real number $m$ is:\n\nA: $-1$ \nB: $1$ \nC: $-\\sqrt{2}$ \nD: $\\sqrt{2}$",
"role": "user"
}
] |
math
|
{
"ground_truth": "A: -1",
"style": "rule"
}
|
{
"index": 3725,
"need_tools_kwargs": true,
"question": "If the complex number $\\frac {m^{2}+i}{1-mi}$ is a real number, then the real number $m$ is:\n\nA: $-1$ \nB: $1$ \nC: $-\\sqrt{2}$ \nD: $\\sqrt{2}$",
"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": "The first instance of Time including Julie Mehretu in their '100 Most Influential People' was in which year?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "2020.",
"style": "rule"
}
|
{
"index": 3726,
"need_tools_kwargs": true,
"question": "The first instance of Time including Julie Mehretu in their '100 Most Influential People' was 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": "Who owned the hotel at which 16th AVN Awards was held? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Caesars Entertainment Corporation",
"style": "rule"
}
|
{
"index": 3727,
"need_tools_kwargs": true,
"question": "Who owned the hotel at which 16th AVN Awards was held? ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Bob has to hire someone to fix his garden. A storm destroyed all 20 of his rose bushes. He decides to replant all the rose bushes. Each rose bush costs $150. He also needs to pay a gardener $30 an hour, 5 hours each day for 4 days. The final expense is 100 cubic feet of soil sold for a certain amount per cubic foot. The entire gardening project cost $4100. How much does each cubic foot of soil cost?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\$5",
"style": "rule"
}
|
{
"index": 3728,
"need_tools_kwargs": true,
"question": "Bob has to hire someone to fix his garden. A storm destroyed all 20 of his rose bushes. He decides to replant all the rose bushes. Each rose bush costs $150. He also needs to pay a gardener $30 an hour, 5 hours each day for 4 days. The final expense is 100 cubic feet of soil sold for a certain amount per cubic foot. The entire gardening project cost $4100. How much does each cubic foot of soil cost?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let \\( R \\) be a square, one diagonal of which has endpoints \\( (0,1) \\) and \\( (1,0) \\). A point \\( w = (x,y) \\) is chosen uniformly at random such that \\( 0 \\leq x \\leq 100 \\) and \\( 0 \\leq y \\leq 100 \\). Define \\( Q(w) \\) as a translated square centered at \\( w \\). Determine the probability that the region determined by \\( Q(w) \\) contains exactly four points with integer coordinates on its perimeter.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{10000}{10201}",
"style": "rule"
}
|
{
"index": 3729,
"need_tools_kwargs": true,
"question": "Let \\( R \\) be a square, one diagonal of which has endpoints \\( (0,1) \\) and \\( (1,0) \\). A point \\( w = (x,y) \\) is chosen uniformly at random such that \\( 0 \\leq x \\leq 100 \\) and \\( 0 \\leq y \\leq 100 \\). Define \\( Q(w) \\) as a translated square centered at \\( w \\). Determine the probability that the region determined by \\( Q(w) \\) contains exactly four points with integer coordinates on its perimeter.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When was the publication which published the SPOT criteria launched?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "February 2014",
"style": "rule"
}
|
{
"index": 3730,
"need_tools_kwargs": true,
"question": "When was the publication which published the SPOT criteria launched?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 role-playing game, which is a supplement for another game by the same Michigan-based company, released?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1989",
"style": "rule"
}
|
{
"index": 3731,
"need_tools_kwargs": true,
"question": "What year was the role-playing game, which is a supplement for another game by the same Michigan-based company, released?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Consider the sequence \\(1, 3, 1, 3, 3, 1, 3, 3, 3, 1, 3, 3, 3, 3, 1, 3, 3, 3, 3, 3, 1, 3, \\ldots\\) where every \\(1\\) is followed by an increasing number of \\(3\\)'s, with \\(n\\) instances of \\(3\\) in the \\(n^{th}\\) block. Calculate the sum of the first \\(1000\\) terms of this sequence.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2912",
"style": "rule"
}
|
{
"index": 3732,
"need_tools_kwargs": true,
"question": "Consider the sequence \\(1, 3, 1, 3, 3, 1, 3, 3, 3, 1, 3, 3, 3, 3, 1, 3, 3, 3, 3, 3, 1, 3, \\ldots\\) where every \\(1\\) is followed by an increasing number of \\(3\\)'s, with \\(n\\) instances of \\(3\\) in the \\(n^{th}\\) block. Calculate the sum of the first \\(1000\\) terms of this sequence.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 two-meter gas pipe has rusted in two places. Determine the probability that all three resulting pieces can be used as connections to gas stoves, given that according to regulations, a stove should not be located closer than 50 cm to the main gas pipe.",
"role": "user"
}
] |
math
|
{
"ground_truth": "0.0625",
"style": "rule"
}
|
{
"index": 3733,
"need_tools_kwargs": true,
"question": "A two-meter gas pipe has rusted in two places. Determine the probability that all three resulting pieces can be used as connections to gas stoves, given that according to regulations, a stove should not be located closer than 50 cm to the main gas pipe.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 m,n 是正整数。一个圆形项链有 mn 颗珠子，每颗均是红色或蓝色。已知无论如何将项链切成 m 段连续的 n 颗珠子，各段中红色珠子的个数均互不相同。假设答案形如n_1 + m_1 - (n_2 + m_2)，其中(n_1, m_1)和(n_2, m_2)分别是满足条件的最小和最大数对。请计算这个表达式的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "-2",
"style": "rule"
}
|
{
"index": 3734,
"need_tools_kwargs": true,
"question": "设 m,n 是正整数。一个圆形项链有 mn 颗珠子，每颗均是红色或蓝色。已知无论如何将项链切成 m 段连续的 n 颗珠子，各段中红色珠子的个数均互不相同。假设答案形如n_1 + m_1 - (n_2 + m_2)，其中(n_1, m_1)和(n_2, m_2)分别是满足条件的最小和最大数对。请计算这个表达式的值。",
"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": "in the \"Search Committee\" episode, Deangelo's new replacement is sought out through a search committee process led by a character whose role is played by an American actor who was born when?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "October 20, 1979",
"style": "rule"
}
|
{
"index": 3735,
"need_tools_kwargs": true,
"question": "in the \"Search Committee\" episode, Deangelo's new replacement is sought out through a search committee process led by a character whose role is played by an American actor who was born when?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Consider the matrix \n\\[\\mathbf{N} = \\begin{pmatrix} 2x & -y & z \\\\ y & x & -2z \\\\ y & -x & z \\end{pmatrix}\\]\nand it is known that $\\mathbf{N}^T \\mathbf{N} = \\mathbf{I}$. Find $x^2 + y^2 + z^2$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{2}{3}",
"style": "rule"
}
|
{
"index": 3736,
"need_tools_kwargs": true,
"question": "Consider the matrix \n\\[\\mathbf{N} = \\begin{pmatrix} 2x & -y & z \\\\ y & x & -2z \\\\ y & -x & z \\end{pmatrix}\\]\nand it is known that $\\mathbf{N}^T \\mathbf{N} = \\mathbf{I}$. Find $x^2 + y^2 + z^2$.",
"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": "Given vectors $\\overrightarrow{a} = (m, 1-n)$ and $\\overrightarrow{b} = (1, 2)$ where $m > 0$, $n > 0$, and $\\overrightarrow{a} \\parallel \\overrightarrow{b}$, find the minimum value of $\\frac{1}{m} + \\frac{1}{n}$. The options are:\nA: $2\\sqrt{2}$\nB: $3+2\\sqrt{2}$\nC: $4\\sqrt{2}$\nD: $3+\\sqrt{2}$",
"role": "user"
}
] |
math
|
{
"ground_truth": "3+2\\sqrt{2}",
"style": "rule"
}
|
{
"index": 3737,
"need_tools_kwargs": true,
"question": "Given vectors $\\overrightarrow{a} = (m, 1-n)$ and $\\overrightarrow{b} = (1, 2)$ where $m > 0$, $n > 0$, and $\\overrightarrow{a} \\parallel \\overrightarrow{b}$, find the minimum value of $\\frac{1}{m} + \\frac{1}{n}$. The options are:\nA: $2\\sqrt{2}$\nB: $3+2\\sqrt{2}$\nC: $4\\sqrt{2}$\nD: $3+\\sqrt{2}$",
"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": "Are both Khamti Airport and Sandy Bay Water Aerodrome located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 3738,
"need_tools_kwargs": true,
"question": "Are both Khamti Airport and Sandy Bay Water Aerodrome located in the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The point \\( N \\) is the center of the face \\( ABCD \\) of the cube \\( ABCDEFGH \\). Additionally, \\( M \\) is the midpoint of the edge \\( AE \\). Given that the area of triangle \\( MNH \\) is \\( 13 \\sqrt{14} \\), determine the edge length of the cube.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2\\sqrt{13}",
"style": "rule"
}
|
{
"index": 3739,
"need_tools_kwargs": true,
"question": "The point \\( N \\) is the center of the face \\( ABCD \\) of the cube \\( ABCDEFGH \\). Additionally, \\( M \\) is the midpoint of the edge \\( AE \\). Given that the area of triangle \\( MNH \\) is \\( 13 \\sqrt{14} \\), determine the edge length of the cube.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $AB=85$, $BC=125$, $CA=140$, and incircle $\\omega$. Let $D$, $E$, $F$ be the points of tangency of $\\omega$ with $\\overline{BC}$, $\\overline{CA}$, $\\overline{AB}$ respectively. Furthermore, denote by $X$, $Y$, and $Z$ the incenters of $\\triangle AEF$, $\\triangle BFD$, and $\\triangle CDE$, respectively. Find the circumradius of $\\triangle XYZ$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "30",
"style": "rule"
}
|
{
"index": 3740,
"need_tools_kwargs": true,
"question": "Let $\\triangle ABC$ be a triangle with $AB=85$, $BC=125$, $CA=140$, and incircle $\\omega$. Let $D$, $E$, $F$ be the points of tangency of $\\omega$ with $\\overline{BC}$, $\\overline{CA}$, $\\overline{AB}$ respectively. Furthermore, denote by $X$, $Y$, and $Z$ the incenters of $\\triangle AEF$, $\\triangle BFD$, and $\\triangle CDE$, respectively. Find the circumradius of $\\triangle XYZ$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Suppose the domain of the function \\( f(x) \\) is \\([-4, +\\infty)\\), and for any real number \\( t \\), it holds that \\( f(t^2 + 4t) = |t+2| \\). Then, the expression for \\( f(x) \\) is \\( f(x) = \\) ______.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\sqrt{x + 4}",
"style": "rule"
}
|
{
"index": 3741,
"need_tools_kwargs": true,
"question": "Suppose the domain of the function \\( f(x) \\) is \\([-4, +\\infty)\\), and for any real number \\( t \\), it holds that \\( f(t^2 + 4t) = |t+2| \\). Then, the expression for \\( f(x) \\) is \\( f(x) = \\) ______.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A group of 15 persons can complete a piece of work in 18 days. Assume a new group such that 2.5 times the number of persons in the new group can do 1/3 of that work in 21 days. How many persons are in the new group?",
"role": "user"
}
] |
math
|
{
"ground_truth": "7",
"style": "rule"
}
|
{
"index": 3742,
"need_tools_kwargs": true,
"question": "A group of 15 persons can complete a piece of work in 18 days. Assume a new group such that 2.5 times the number of persons in the new group can do 1/3 of that work in 21 days. How many persons are in the new group?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given that $m$ is a positive integer, and given that $\\mathop{\\text{lcm}}[40, m] = 120$ and $\\mathop{\\text{lcm}}[m, 45] = 180$, what is $m$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "m = 36",
"style": "rule"
}
|
{
"index": 3743,
"need_tools_kwargs": true,
"question": "Given that $m$ is a positive integer, and given that $\\mathop{\\text{lcm}}[40, m] = 120$ and $\\mathop{\\text{lcm}}[m, 45] = 180$, what is $m$?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the place of birth of the director of film Ruang Talok 69?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Bangkok",
"style": "rule"
}
|
{
"index": 3744,
"need_tools_kwargs": true,
"question": "What is the place of birth of the director of film Ruang Talok 69?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Joe will randomly select two letters from the word CAMP, four letters from the word HERBS, and three letters from the word GLOW. What is the probability that he will have all of the letters from the word PROBLEM? Express your answer as a common fraction.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{1}{30}",
"style": "rule"
}
|
{
"index": 3745,
"need_tools_kwargs": true,
"question": "Joe will randomly select two letters from the word CAMP, four letters from the word HERBS, and three letters from the word GLOW. What is the probability that he will have all of the letters from the word PROBLEM? 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": "What were the day, month, and year when the European Court of Human Rights ruled in favor of Carola van Kück, a German trans woman whose insurance company denied her reimbursement for sex reassignment surgery as well as hormone replacement therapy?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "12 June 2003",
"style": "rule"
}
|
{
"index": 3746,
"need_tools_kwargs": true,
"question": "What were the day, month, and year when the European Court of Human Rights ruled in favor of Carola van Kück, a German trans woman whose insurance company denied her reimbursement for sex reassignment surgery as well as hormone replacement therapy?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 this former 1992 CHicago Bears season coach born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1939",
"style": "rule"
}
|
{
"index": 3747,
"need_tools_kwargs": true,
"question": "What year was this former 1992 CHicago Bears season coach born?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What nationality is the performer of song Go To The Mardi Gras?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American",
"style": "rule"
}
|
{
"index": 3748,
"need_tools_kwargs": true,
"question": "What nationality is the performer of song Go To The Mardi Gras?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where was the place of death of the director of film Revak The Rebel?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Hollywood",
"style": "rule"
}
|
{
"index": 3749,
"need_tools_kwargs": true,
"question": "Where was the place of death of the director of film Revak The Rebel?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In $\\triangle ABC$, where $A > B > C$, if $2 \\cos 2B - 8 \\cos B + 5 = 0$, $\\tan A + \\tan C = 3 + \\sqrt{3}$, and the height $CD$ from $C$ to $AB$ is $2\\sqrt{3}$, then find the area of $\\triangle ABC$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "12 - 4\\sqrt{3}",
"style": "rule"
}
|
{
"index": 3750,
"need_tools_kwargs": true,
"question": "In $\\triangle ABC$, where $A > B > C$, if $2 \\cos 2B - 8 \\cos B + 5 = 0$, $\\tan A + \\tan C = 3 + \\sqrt{3}$, and the height $CD$ from $C$ to $AB$ is $2\\sqrt{3}$, then find the area of $\\triangle ABC$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who was replaced by Jon Walker in a band that Jake Sinclair had wrote songs for?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Brent Wilson",
"style": "rule"
}
|
{
"index": 3751,
"need_tools_kwargs": true,
"question": "Who was replaced by Jon Walker in a band that Jake Sinclair had wrote songs 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": "Let $a, b$, and $c$ be real numbers. Let $u = a^2 + b^2 + c^2$ and $v = 2ab + 2bc + 2ca$. Suppose $2018u = 1001v + 1024$. Find the maximum possible value of $35a - 28b - 3c$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "32",
"style": "rule"
}
|
{
"index": 3752,
"need_tools_kwargs": true,
"question": "Let $a, b$, and $c$ be real numbers. Let $u = a^2 + b^2 + c^2$ and $v = 2ab + 2bc + 2ca$. Suppose $2018u = 1001v + 1024$. Find the maximum possible value of $35a - 28b - 3c$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Are Shotorak, Razavi Khorasan and Kafr Mousa both located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 3753,
"need_tools_kwargs": true,
"question": "Are Shotorak, Razavi Khorasan and Kafr Mousa both located in the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who Killed Nelson Nutmeg starred the actress best known for what Harry Potter role?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Ginny Weasley",
"style": "rule"
}
|
{
"index": 3754,
"need_tools_kwargs": true,
"question": "Who Killed Nelson Nutmeg starred the actress best known for what Harry Potter role?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Complex numbers $a,$ $b,$ $c$ form an equilateral triangle with side length 18 in the complex plane. If $|a + b + c| = 36,$ find $|ab + ac + bc|.$",
"role": "user"
}
] |
math
|
{
"ground_truth": "432",
"style": "rule"
}
|
{
"index": 3755,
"need_tools_kwargs": true,
"question": "Complex numbers $a,$ $b,$ $c$ form an equilateral triangle with side length 18 in the complex plane. If $|a + b + c| = 36,$ find $|ab + ac + bc|.$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 cryptographer devises the following method for encoding positive integers. First, the integer is expressed in base $5$. Second, a 1-to-1 correspondence is established between the digits that appear in the expressions in base $5$ and the elements of the set $\\{V, W, X, Y, Z\\}$. Using this correspondence, the cryptographer finds that three consecutive integers in increasing order are coded as $VYZ$, $VYX$, $VVW$, respectively. What is the base-10 expression for the integer coded as $XYZ$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "108",
"style": "rule"
}
|
{
"index": 3756,
"need_tools_kwargs": true,
"question": "A cryptographer devises the following method for encoding positive integers. First, the integer is expressed in base $5$. Second, a 1-to-1 correspondence is established between the digits that appear in the expressions in base $5$ and the elements of the set $\\{V, W, X, Y, Z\\}$. Using this correspondence, the cryptographer finds that three consecutive integers in increasing order are coded as $VYZ$, $VYX$, $VVW$, respectively. What is the base-10 expression for the integer coded as $XYZ$?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the place of birth of the director of film Sept Hommes Et Une Garce?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Paris",
"style": "rule"
}
|
{
"index": 3757,
"need_tools_kwargs": true,
"question": "What is the place of birth of the director of film Sept Hommes Et Une Garce?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A circle passes through the vertex of a rectangle $ABCD$ and touches its sides $AB$ and $AD$ at points $M$ and $N$, respectively. If the distance from point $C$ to the line segment $MN$ is $5$ units, find the area of rectangle $ABCD$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "25",
"style": "rule"
}
|
{
"index": 3758,
"need_tools_kwargs": true,
"question": "A circle passes through the vertex of a rectangle $ABCD$ and touches its sides $AB$ and $AD$ at points $M$ and $N$, respectively. If the distance from point $C$ to the line segment $MN$ is $5$ units, find the area of rectangle $ABCD$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Are Hans Bauer (Writer) and William Garnett (Politician) both from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 3759,
"need_tools_kwargs": true,
"question": "Are Hans Bauer (Writer) and William Garnett (Politician) both from the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What nationality is the racing driver who drove a Renault R.S.16 and has a father who won the Le Mans GT class four times?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Danish",
"style": "rule"
}
|
{
"index": 3760,
"need_tools_kwargs": true,
"question": "What nationality is the racing driver who drove a Renault R.S.16 and has a father who won the Le Mans GT class four times?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What do students do at the school of New York University where Meleko Mokgosi is an artist and assistant professor?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "design their own interdisciplinary program",
"style": "rule"
}
|
{
"index": 3761,
"need_tools_kwargs": true,
"question": "What do students do at the school of New York University where Meleko Mokgosi is an artist and assistant professor?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Nick Morris has made a promo for which English female singer-songwriter of the 1980s and 90s?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Kirsty Anna MacColl",
"style": "rule"
}
|
{
"index": 3762,
"need_tools_kwargs": true,
"question": "Nick Morris has made a promo for which English female singer-songwriter of the 1980s and 90s?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 title of the book written by the host of \"Family Feud\"?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "\"Act Like a Lady, Think Like a Man\"",
"style": "rule"
}
|
{
"index": 3763,
"need_tools_kwargs": true,
"question": "What is the title of the book written by the host of \"Family Feud\"?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Consider a prism, not necessarily right, whose base is a rhombus $ABCD$ with side $AB = 5$ and diagonal $AC = 8$. A sphere of radius $r$ is tangent to the plane $ABCD$ at $C$ and tangent to the edges $AA_1$, $BB_1$, and $DD_1$ of the prism. Calculate $r$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"index": 3764,
"need_tools_kwargs": true,
"question": "Consider a prism, not necessarily right, whose base is a rhombus $ABCD$ with side $AB = 5$ and diagonal $AC = 8$. A sphere of radius $r$ is tangent to the plane $ABCD$ at $C$ and tangent to the edges $AA_1$, $BB_1$, and $DD_1$ of the prism. Calculate $r$.",
"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": "In a company with \\( n > 1 \\) people, where some members are acquainted with each other and some are not, if person \\( X \\) knows person \\( Y \\), then \\( Y \\) also knows \\( X \\). A person is not considered to be acquainted with themselves. Determine all values of \\( n \\) for which there will always be two individuals \\( A \\) and \\( B \\) in the company who have the same number of acquaintances, such that there exists either a person \\( C \\) who is acquainted with both \\( A \\) and \\( B \\), or a person \\( D \\) who is not acquainted with both \\( A \\) and \\( B \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"index": 3765,
"need_tools_kwargs": true,
"question": "In a company with \\( n > 1 \\) people, where some members are acquainted with each other and some are not, if person \\( X \\) knows person \\( Y \\), then \\( Y \\) also knows \\( X \\). A person is not considered to be acquainted with themselves. Determine all values of \\( n \\) for which there will always be two individuals \\( A \\) and \\( B \\) in the company who have the same number of acquaintances, such that there exists either a person \\( C \\) who is acquainted with both \\( A \\) and \\( B \\), or a person \\( D \\) who is not acquainted with both \\( A \\) and \\( B \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "How many people was the subject of the film \"Life and Death of a Serial Killer\" convicted and sentenced for murdering?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "six",
"style": "rule"
}
|
{
"index": 3766,
"need_tools_kwargs": true,
"question": "How many people was the subject of the film \"Life and Death of a Serial Killer\" convicted and sentenced for murdering?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 actor in the upcoming musical with book by Tina Fey?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Benjamin Tyler Cook",
"style": "rule"
}
|
{
"index": 3767,
"need_tools_kwargs": true,
"question": "Who is the actor in the upcoming musical with book by Tina Fey?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 hosts the animated game show in which Carter Hayden reprised his role?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Chudd Chudders",
"style": "rule"
}
|
{
"index": 3768,
"need_tools_kwargs": true,
"question": "Who hosts the animated game show in which Carter Hayden reprised his role?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Michael, David, Evan, Isabella, and Justin compete in the NIMO Super Bowl, a round-robin cereal-eating tournament. Each pair of competitors plays exactly one game, in which each competitor has an equal chance of winning (and there are no ties). The probability that none of the five players wins all of his/her games is $\\frac{m}{n}$ for relatively prime positive integers $m$, $n$. Compute $100m + n$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "1116",
"style": "rule"
}
|
{
"index": 3769,
"need_tools_kwargs": true,
"question": "Michael, David, Evan, Isabella, and Justin compete in the NIMO Super Bowl, a round-robin cereal-eating tournament. Each pair of competitors plays exactly one game, in which each competitor has an equal chance of winning (and there are no ties). The probability that none of the five players wins all of his/her games is $\\frac{m}{n}$ for relatively prime positive integers $m$, $n$. Compute $100m + n$.",
"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 were the active years of this vaudeville and comedy team, who were the stars of the short film Oil's Well That Ends Well?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1928 until 1970",
"style": "rule"
}
|
{
"index": 3770,
"need_tools_kwargs": true,
"question": "What were the active years of this vaudeville and comedy team, who were the stars of the short film Oil's Well That Ends Well?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Nicknamed \"The Invicincibles\", this professional football club is the only English club to do what?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "go a 38-match league season unbeaten",
"style": "rule"
}
|
{
"index": 3771,
"need_tools_kwargs": true,
"question": "Nicknamed \"The Invicincibles\", this professional football club is the only English club to do 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": "Evaluate the integral \\\\(∫_{1}^{e}(x+ \\dfrac{1}{x})dx\\\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\dfrac{e^2+1}{2}",
"style": "rule"
}
|
{
"index": 3772,
"need_tools_kwargs": true,
"question": "Evaluate the integral \\\\(∫_{1}^{e}(x+ \\dfrac{1}{x})dx\\\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Find the number of real solutions of the equation\n\\[\n\\frac{5x}{x^2 + 2x + 4} + \\frac{6x}{x^2 - 4x + 4} = -1.\n\\]",
"role": "user"
}
] |
math
|
{
"ground_truth": "0",
"style": "rule"
}
|
{
"index": 3773,
"need_tools_kwargs": true,
"question": "Find the number of real solutions of the equation\n\\[\n\\frac{5x}{x^2 + 2x + 4} + \\frac{6x}{x^2 - 4x + 4} = -1.\n\\]",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which soldier was conferred with the \"Points of Light Honour\" by British Prime Minister Rishi Sunak?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Rajindar Singh Dhatt",
"style": "rule"
}
|
{
"index": 3774,
"need_tools_kwargs": true,
"question": "Which soldier was conferred with the \"Points of Light Honour\" by British Prime Minister Rishi Sunak?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Are both villages, Ebrahimabad, West Azerbaijan and Nav-E Pain, located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 3775,
"need_tools_kwargs": true,
"question": "Are both villages, Ebrahimabad, West Azerbaijan and Nav-E Pain, located in the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "How many integers between 100 and 500 have at least two 3s as digits?",
"role": "user"
}
] |
math
|
{
"ground_truth": "22",
"style": "rule"
}
|
{
"index": 3776,
"need_tools_kwargs": true,
"question": "How many integers between 100 and 500 have at least two 3s as 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": "Do both films: Confessions Of A Frustrated Housewife and Alert In The Mediterranean have the directors from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 3777,
"need_tools_kwargs": true,
"question": "Do both films: Confessions Of A Frustrated Housewife and Alert In The Mediterranean have the directors from the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "If the parabola $y=-x^{2}+1$ is shifted $1$ unit to the left, then the shifted parabola is ______.",
"role": "user"
}
] |
math
|
{
"ground_truth": "y = -\\left(x + 1\\right)^2 + 1",
"style": "rule"
}
|
{
"index": 3778,
"need_tools_kwargs": true,
"question": "If the parabola $y=-x^{2}+1$ is shifted $1$ unit to the left, then the shifted parabola is ______.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A cylinder with radius \\(2 \\text{ cm}\\) and height \\(8 \\text{ cm}\\) is full of water. A second cylinder of radius \\(4 \\text{ cm}\\) and height \\(8 \\text{ cm}\\) is empty. If all of the water is poured from the first cylinder into the second cylinder, the depth of the water in the second cylinder will be \n(A) \\(1 \\text{ cm}\\)\n(B) \\(2 \\text{ cm}\\)\n(C) \\(3 \\text{ cm}\\)\n(D) \\(4 \\text{ cm}\\)\n(E) \\(6 \\text{ cm}\\)",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 3779,
"need_tools_kwargs": true,
"question": "A cylinder with radius \\(2 \\text{ cm}\\) and height \\(8 \\text{ cm}\\) is full of water. A second cylinder of radius \\(4 \\text{ cm}\\) and height \\(8 \\text{ cm}\\) is empty. If all of the water is poured from the first cylinder into the second cylinder, the depth of the water in the second cylinder will be \n(A) \\(1 \\text{ cm}\\)\n(B) \\(2 \\text{ cm}\\)\n(C) \\(3 \\text{ cm}\\)\n(D) \\(4 \\text{ cm}\\)\n(E) \\(6 \\text{ cm}\\)",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $T$ be a subset of $\\{1,2,3,\\ldots,2021\\}$ such that no two members of $T$ differ by $5$ or $8$. What is the largest number of elements $T$ can have?",
"role": "user"
}
] |
math
|
{
"ground_truth": "918",
"style": "rule"
}
|
{
"index": 3780,
"need_tools_kwargs": true,
"question": "Let $T$ be a subset of $\\{1,2,3,\\ldots,2021\\}$ such that no two members of $T$ differ by $5$ or $8$. What is the largest number of elements $T$ can have?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Are Seal Island (Nova Scotia) and Hemnskjela located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 3781,
"need_tools_kwargs": true,
"question": "Are Seal Island (Nova Scotia) and Hemnskjela located in the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When did the director of the Miami Vice episode No Exit become a British citizen ?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "2004",
"style": "rule"
}
|
{
"index": 3782,
"need_tools_kwargs": true,
"question": "When did the director of the Miami Vice episode No Exit become a British citizen ?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Consider a unique strictly increasing sequence of nonnegative integers $a_1 < a_2 < \\ldots < a_k$ such that\n\\[\\frac{2^{325}+1}{2^{25}+1} = 2^{a_1} + 2^{a_2} + \\ldots + 2^{a_k}.\\]\nDetermine the value of $k$.\nA) 150\nB) 151\nC) 152\nD) 153\nE) 154",
"role": "user"
}
] |
math
|
{
"ground_truth": "151",
"style": "rule"
}
|
{
"index": 3783,
"need_tools_kwargs": true,
"question": "Consider a unique strictly increasing sequence of nonnegative integers $a_1 < a_2 < \\ldots < a_k$ such that\n\\[\\frac{2^{325}+1}{2^{25}+1} = 2^{a_1} + 2^{a_2} + \\ldots + 2^{a_k}.\\]\nDetermine the value of $k$.\nA) 150\nB) 151\nC) 152\nD) 153\nE) 154",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Lady Katherine Percy's husband?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "English",
"style": "rule"
}
|
{
"index": 3784,
"need_tools_kwargs": true,
"question": "What nationality is Lady Katherine Percy's husband?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When was Bugsy Noonan's father head of the criminal organziation?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "during the 1980s and 1990s",
"style": "rule"
}
|
{
"index": 3785,
"need_tools_kwargs": true,
"question": "When was Bugsy Noonan's father head of the criminal organziation?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 cafeteria in a certain laboratory is open from noon until 2 in the afternoon every Monday for lunch. Two professors eat 15-minute lunches sometime between noon and 2 PM. What is the probability that they are in the cafeteria simultaneously on any given Monday?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{2}{7}",
"style": "rule"
}
|
{
"index": 3786,
"need_tools_kwargs": true,
"question": "The cafeteria in a certain laboratory is open from noon until 2 in the afternoon every Monday for lunch. Two professors eat 15-minute lunches sometime between noon and 2 PM. What is the probability that they are in the cafeteria simultaneously on any given Monday?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 value of \\( b \\) such that there exist integers \\( a, b, c, d \\) each greater than \\( 1 \\), satisfying the equation:\n\\[\n\\sqrt[a]{N\\sqrt[b]{N\\sqrt[c]{N\\sqrt[d]{N}}}} = \\sqrt[48]{N^{37}}\n\\]\nfor all \\( N \\neq 1 \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"index": 3787,
"need_tools_kwargs": true,
"question": "Determine the value of \\( b \\) such that there exist integers \\( a, b, c, d \\) each greater than \\( 1 \\), satisfying the equation:\n\\[\n\\sqrt[a]{N\\sqrt[b]{N\\sqrt[c]{N\\sqrt[d]{N}}}} = \\sqrt[48]{N^{37}}\n\\]\nfor all \\( N \\neq 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": "if x is 20 percent greater than 40 , then x =",
"role": "user"
}
] |
math
|
{
"ground_truth": "48",
"style": "rule"
}
|
{
"index": 3788,
"need_tools_kwargs": true,
"question": "if x is 20 percent greater than 40 , then 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": "Triangle $ABC$ is inscribed in circle $\\omega$ with $AB=5$ , $BC=7$ , and $AC=3$ . The bisector of angle $A$ meets side $\\overline{BC}$ at $D$ and circle $\\omega$ at a second point $E$ . Let $\\gamma$ be the circle with diameter $\\overline{DE}$ . Circles $\\omega$ and $\\gamma$ meet at $E$ and a second point $F$ . Then $AF^2 = \\frac mn$ , where $m$ and $n$ are relatively prime positive integers. Find $m+n$ .",
"role": "user"
}
] |
math
|
{
"ground_truth": "919",
"style": "rule"
}
|
{
"index": 3789,
"need_tools_kwargs": true,
"question": "Triangle $ABC$ is inscribed in circle $\\omega$ with $AB=5$ , $BC=7$ , and $AC=3$ . The bisector of angle $A$ meets side $\\overline{BC}$ at $D$ and circle $\\omega$ at a second point $E$ . Let $\\gamma$ be the circle with diameter $\\overline{DE}$ . Circles $\\omega$ and $\\gamma$ meet at $E$ and a second point $F$ . Then $AF^2 = \\frac mn$ , where $m$ and $n$ are relatively prime positive integers. Find $m+n$ .",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Free to Be… You and Me featured songs and stories by celebrities such as an actor, singer and director of what?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "stage, film, and television",
"style": "rule"
}
|
{
"index": 3790,
"need_tools_kwargs": true,
"question": "Free to Be… You and Me featured songs and stories by celebrities such as an actor, singer and director of what?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who is the spouse of the composer of film Hum Naujawan?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Asha Bhosle",
"style": "rule"
}
|
{
"index": 3791,
"need_tools_kwargs": true,
"question": "Who is the spouse of the composer of film Hum Naujawan?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "设整数 n\\geq3. 设 a_1,a_2,\\cdots,a_n 是非负实数，满足 \\ds{i=1}{n}a_i=1. 求\\left(\\ds{i=1}{n}\\max\\{a_i,a_{i+1},a_{i+2}\\}\\right)\\left(\\ds{i=1}{n}\\min\\{a_i,a_{i+1},a_{i+2}\\}\\right)的最大值，其中下标按模 n 理解.（YNWA）原始的答案是\\frac{m}{n}的形式，其中m、n是互质的。请给出最终m + n的值",
"role": "user"
}
] |
math
|
{
"ground_truth": "17",
"style": "rule"
}
|
{
"index": 3792,
"need_tools_kwargs": true,
"question": "设整数 n\\geq3. 设 a_1,a_2,\\cdots,a_n 是非负实数，满足 \\ds{i=1}{n}a_i=1. 求\\left(\\ds{i=1}{n}\\max\\{a_i,a_{i+1},a_{i+2}\\}\\right)\\left(\\ds{i=1}{n}\\min\\{a_i,a_{i+1},a_{i+2}\\}\\right)的最大值，其中下标按模 n 理解.（YNWA）原始的答案是\\frac{m}{n}的形式，其中m、n是互质的。请给出最终m + n的值",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The function \\( f(x, y) \\) satisfies the following conditions for all non-negative integers \\( x \\) and \\( y \\):\n(1) \\( f(0, y) = y + 1 \\);\n(2) \\( f(x+1, 0) = f(x, 1) \\);\n(3) \\( f(x+1, y+1) = f[x, f(x+1, y)] \\).\n\nFind \\( f(4, 1981) \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "2^{1984} - 3",
"style": "rule"
}
|
{
"index": 3793,
"need_tools_kwargs": true,
"question": "The function \\( f(x, y) \\) satisfies the following conditions for all non-negative integers \\( x \\) and \\( y \\):\n(1) \\( f(0, y) = y + 1 \\);\n(2) \\( f(x+1, 0) = f(x, 1) \\);\n(3) \\( f(x+1, y+1) = f[x, f(x+1, y)] \\).\n\nFind \\( f(4, 1981) \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Dolf Jansen is a runner in the race events that have what official length?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "42.195 kilometres",
"style": "rule"
}
|
{
"index": 3794,
"need_tools_kwargs": true,
"question": "Dolf Jansen is a runner in the race events that have what official length?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A number is chosen at random from the set of consecutive natural numbers $\\{1, 2, 3, \\ldots, 30\\}$. What is the probability that the number chosen is a factor of $5!$? Express your answer as a common fraction.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{8}{15}",
"style": "rule"
}
|
{
"index": 3795,
"need_tools_kwargs": true,
"question": "A number is chosen at random from the set of consecutive natural numbers $\\{1, 2, 3, \\ldots, 30\\}$. What is the probability that the number chosen is a factor of $5!$? 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": "John, was the Count of Auxonne and Chalon-sur-Saône in his own right, was a French nobleman, in contemporary documents, he was sometimes called \"Count of Burgundy\", in 1251, by which King?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "William II of Holland",
"style": "rule"
}
|
{
"index": 3796,
"need_tools_kwargs": true,
"question": "John, was the Count of Auxonne and Chalon-sur-Saône in his own right, was a French nobleman, in contemporary documents, he was sometimes called \"Count of Burgundy\", in 1251, by which King?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Shadows Of The North?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Canadian",
"style": "rule"
}
|
{
"index": 3797,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Shadows Of The North?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Why did the director of film Je T'Aime Moi Non Plus (Film) die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "heart attack",
"style": "rule"
}
|
{
"index": 3798,
"need_tools_kwargs": true,
"question": "Why did the director of film Je T'Aime Moi Non Plus (Film) die?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "There are 10 people standing equally spaced around a circle. Each person knows exactly 3 of the other 9 people: the 2 people standing next to them, as well as the person directly across the circle. Determine how many ways there are for the 10 people to split up into 5 pairs such that the members of each pair know each other.",
"role": "user"
}
] |
math
|
{
"ground_truth": "12",
"style": "rule"
}
|
{
"index": 3799,
"need_tools_kwargs": true,
"question": "There are 10 people standing equally spaced around a circle. Each person knows exactly 3 of the other 9 people: the 2 people standing next to them, as well as the person directly across the circle. Determine how many ways there are for the 10 people to split up into 5 pairs such that the members of each pair know each other.",
"split": "train"
}
| null |
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