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": "Given the function \\\\(f(x)= \\begin{cases} a\\ln x-x^{2}-2 & (x > 0) \\\\ x+ \\frac {1}{x}+a & (x < 0)\\\\ \\end{cases}\\\\) with a maximum value of \\\\(f(-1)\\\\), determine the range of the real number \\\\(a\\\\). The options are:\nA: \\\\(\\[0,2e^{2}\\]\\\\)\nB: \\\\(\\[0,2e^{3}\\]\\\\)\nC: \\\\((0,2e^{2}\\]\\\\)\nD: \\\\((0,2e^{3}\\]\\\\)",
"role": "user"
}
] |
math
|
{
"ground_truth": "[0,2e^{3}]",
"style": "rule"
}
|
{
"index": 7100,
"need_tools_kwargs": true,
"question": "Given the function \\\\(f(x)= \\begin{cases} a\\ln x-x^{2}-2 & (x > 0) \\\\ x+ \\frac {1}{x}+a & (x < 0)\\\\ \\end{cases}\\\\) with a maximum value of \\\\(f(-1)\\\\), determine the range of the real number \\\\(a\\\\). The options are:\nA: \\\\(\\[0,2e^{2}\\]\\\\)\nB: \\\\(\\[0,2e^{3}\\]\\\\)\nC: \\\\((0,2e^{2}\\]\\\\)\nD: \\\\((0,2e^{3}\\]\\\\)",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Determine how many pairs \\((a, b)\\) from the set \\(\\{(1, 2), (3, 5), (5, 7), (7, 11)\\}\\) result in the polynomial \\(P(x) = x^5 + ax^4 + bx^3 + bx^2 + ax + 1\\) having exactly one real root.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 7101,
"need_tools_kwargs": true,
"question": "Determine how many pairs \\((a, b)\\) from the set \\(\\{(1, 2), (3, 5), (5, 7), (7, 11)\\}\\) result in the polynomial \\(P(x) = x^5 + ax^4 + bx^3 + bx^2 + ax + 1\\) having exactly one real root.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where was the place of death of the director of film The 5Th Monkey?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Rio de Janeiro",
"style": "rule"
}
|
{
"index": 7102,
"need_tools_kwargs": true,
"question": "Where was the place of death of the director of film The 5Th Monkey?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "One piece of string is 1.5 inches long and another piece of string is 4.5 inches long. What is the average length, in inches, of these two pieces of string?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 7103,
"need_tools_kwargs": true,
"question": "One piece of string is 1.5 inches long and another piece of string is 4.5 inches long. What is the average length, in inches, of these two pieces of string?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Right triangle $ABC$ has its right angle at $A$ . A semicircle with center $O$ is inscribed inside triangle $ABC$ with the diameter along $AB$ . Let $D$ be the point where the semicircle is tangent to $BC$ . If $AD=4$ and $CO=5$ , find $\\cos\\angle{ABC}$ .\n\n[asy]\nimport olympiad;\n\npair A, B, C, D, O;\nA = (1,0);\nB = origin;\nC = (1,1);\nO = incenter(C, B, (1,-1));\ndraw(A--B--C--cycle);\ndot(O);\ndraw(arc(O, 0.41421356237,0,180));\nD = O+0.41421356237*dir(135);\nlabel(\" $A$ \",A,SE);\nlabel(\" $B$ \",B,SW);\nlabel(\" $C$ \",C,NE);\nlabel(\" $D$ \",D,NW);\nlabel(\" $O$ \",O,S);\n[/asy]",
"role": "user"
}
] |
math
|
{
"ground_truth": "$\\frac{4}{5}$",
"style": "rule"
}
|
{
"index": 7104,
"need_tools_kwargs": true,
"question": "Right triangle $ABC$ has its right angle at $A$ . A semicircle with center $O$ is inscribed inside triangle $ABC$ with the diameter along $AB$ . Let $D$ be the point where the semicircle is tangent to $BC$ . If $AD=4$ and $CO=5$ , find $\\cos\\angle{ABC}$ .\n\n[asy]\nimport olympiad;\n\npair A, B, C, D, O;\nA = (1,0);\nB = origin;\nC = (1,1);\nO = incenter(C, B, (1,-1));\ndraw(A--B--C--cycle);\ndot(O);\ndraw(arc(O, 0.41421356237,0,180));\nD = O+0.41421356237*dir(135);\nlabel(\" $A$ \",A,SE);\nlabel(\" $B$ \",B,SW);\nlabel(\" $C$ \",C,NE);\nlabel(\" $D$ \",D,NW);\nlabel(\" $O$ \",O,S);\n[/asy]",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "On what day, month, and year was the amendment to the Federal Meat Inspection Act, Public Law Number 75-776, enacted during Franklin Delano Roosevelt's administration?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "June 29, 1938",
"style": "rule"
}
|
{
"index": 7105,
"need_tools_kwargs": true,
"question": "On what day, month, and year was the amendment to the Federal Meat Inspection Act, Public Law Number 75-776, enacted during Franklin Delano Roosevelt's administration?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let \\( S = \\{(x, y) \\mid -2 \\leq y \\leq |x|, -2 \\leq x \\leq 2\\} \\). Determine the probability that for a point \\( (x, y) \\) chosen from the set \\( S \\), one root of the quadratic equation \\( t^{2} + (|x| - 1)t + |y| - 2 = 0 \\) is greater than 1 and the other root is less than 1.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{1}{2}",
"style": "rule"
}
|
{
"index": 7106,
"need_tools_kwargs": true,
"question": "Let \\( S = \\{(x, y) \\mid -2 \\leq y \\leq |x|, -2 \\leq x \\leq 2\\} \\). Determine the probability that for a point \\( (x, y) \\) chosen from the set \\( S \\), one root of the quadratic equation \\( t^{2} + (|x| - 1)t + |y| - 2 = 0 \\) is greater than 1 and the other root is less than 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": "Given that the function $f(x) = (a+1)x^2 + 3ax + 1$ is an even function, find the value of the real number $a$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "a = 0",
"style": "rule"
}
|
{
"index": 7107,
"need_tools_kwargs": true,
"question": "Given that the function $f(x) = (a+1)x^2 + 3ax + 1$ is an even function, find the value of the real number $a$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $a, b, t,$ and $p$ be real numbers such that $a + b = t$ and $ab = p.$ Find the minimum value of $a^2 + ab + b^2$ given these conditions.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{3t^2}{4}",
"style": "rule"
}
|
{
"index": 7108,
"need_tools_kwargs": true,
"question": "Let $a, b, t,$ and $p$ be real numbers such that $a + b = t$ and $ab = p.$ Find the minimum value of $a^2 + ab + b^2$ given these conditions.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who was the supporting cast in The Man Who Shot Liberty Valance that was norminated for a Golden Globe Award in 1960?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Woody Strode",
"style": "rule"
}
|
{
"index": 7109,
"need_tools_kwargs": true,
"question": "Who was the supporting cast in The Man Who Shot Liberty Valance that was norminated for a Golden Globe Award in 1960?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 length of the Pakistani band Jal's album \"Aadat\" released in 2004, in minutes and seconds?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "53:44",
"style": "rule"
}
|
{
"index": 7110,
"need_tools_kwargs": true,
"question": "What is the length of the Pakistani band Jal's album \"Aadat\" released in 2004, in minutes and seconds?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "\"Nature abhors a vacuum\" or Horror vacui was challenged by this mathematician and engineer from Alexandria whose work represents what type of scientific tradition?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Hellenistic scientific tradition",
"style": "rule"
}
|
{
"index": 7111,
"need_tools_kwargs": true,
"question": "\"Nature abhors a vacuum\" or Horror vacui was challenged by this mathematician and engineer from Alexandria whose work represents what type of scientific tradition?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which film has the director born first, Nancy Drew (2007 Film) or People Of No Importance?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "People Of No Importance",
"style": "rule"
}
|
{
"index": 7112,
"need_tools_kwargs": true,
"question": "Which film has the director born first, Nancy Drew (2007 Film) or People Of No Importance?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Kathryn Kidder's husband die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "May 10, 1947",
"style": "rule"
}
|
{
"index": 7113,
"need_tools_kwargs": true,
"question": "When did Kathryn Kidder's husband die?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "How many positive integer $n$ are there satisfying the inequality $1+\\sqrt{n^2-9n+20} > \\sqrt{n^2-7n+12}$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"index": 7114,
"need_tools_kwargs": true,
"question": "How many positive integer $n$ are there satisfying the inequality $1+\\sqrt{n^2-9n+20} > \\sqrt{n^2-7n+12}$?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Are Central Airport (Film) and Twenty Bucks both from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 7115,
"need_tools_kwargs": true,
"question": "Are Central Airport (Film) and Twenty Bucks 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": "Were Clair Burgener and Abdul Ahad (music director) of the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 7116,
"need_tools_kwargs": true,
"question": "Were Clair Burgener and Abdul Ahad (music director) of the same nationality?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "For a certain square, two vertices lie on the line $y = 2x - 17,$ and the other two vertices lie on the parabola $y = x^2.$ Find the smallest possible area of the square.",
"role": "user"
}
] |
math
|
{
"ground_truth": "80",
"style": "rule"
}
|
{
"index": 7117,
"need_tools_kwargs": true,
"question": "For a certain square, two vertices lie on the line $y = 2x - 17,$ and the other two vertices lie on the parabola $y = x^2.$ Find the smallest possible area of the square.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 day, month, and year did Disney end the distribution of Disney Channel programs in Russia?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "December 14, 2022",
"style": "rule"
}
|
{
"index": 7118,
"need_tools_kwargs": true,
"question": "What day, month, and year did Disney end the distribution of Disney Channel programs in Russia?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In what year did the last ruler of the dynasty that was previously led by the person crowned as the Chhatrapati of his realm at Raigad in 1674 die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1832",
"style": "rule"
}
|
{
"index": 7119,
"need_tools_kwargs": true,
"question": "In what year did the last ruler of the dynasty that was previously led by the person crowned as the Chhatrapati of his realm at Raigad in 1674 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": "Calculate the sum: \n\\[\n\\frac{1^{2}+2^{2}}{1 \\times 2}+\\frac{2^{2}+3^{2}}{2 \\times 3}+\\ldots+\\frac{100^{2}+101^{2}}{100 \\times 101}\n\\]\n(where \\( n^{2} = n \\times n \\)).",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{20300}{101}",
"style": "rule"
}
|
{
"index": 7120,
"need_tools_kwargs": true,
"question": "Calculate the sum: \n\\[\n\\frac{1^{2}+2^{2}}{1 \\times 2}+\\frac{2^{2}+3^{2}}{2 \\times 3}+\\ldots+\\frac{100^{2}+101^{2}}{100 \\times 101}\n\\]\n(where \\( n^{2} = n \\times 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 angle is formed by the hour and minute hands at 4:12?",
"role": "user"
}
] |
math
|
{
"ground_truth": "54.0",
"style": "rule"
}
|
{
"index": 7121,
"need_tools_kwargs": true,
"question": "What angle is formed by the hour and minute hands at 4:12?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When did the director of film Hugon, The Mighty die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "May 10, 1961",
"style": "rule"
}
|
{
"index": 7122,
"need_tools_kwargs": true,
"question": "When did the director of film Hugon, The Mighty die?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What year was Kara Walker elected to be an Honorary Royal Academician at the Royal Academy of Arts in London?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "2019",
"style": "rule"
}
|
{
"index": 7123,
"need_tools_kwargs": true,
"question": "What year was Kara Walker elected to be an Honorary Royal Academician at the Royal Academy of Arts in London?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What phrase did Bird Person say to Morty in his native language about making the right choice or the one that lets you sleep at night in Season 1, Episode 11?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "gubba nub nub doo rah kah",
"style": "rule"
}
|
{
"index": 7124,
"need_tools_kwargs": true,
"question": "What phrase did Bird Person say to Morty in his native language about making the right choice or the one that lets you sleep at night in Season 1, Episode 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": "When was the director of film The Lion'S Den (1919 Film) born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "April 22, 1868",
"style": "rule"
}
|
{
"index": 7125,
"need_tools_kwargs": true,
"question": "When was the director of film The Lion'S Den (1919 Film) born?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Tightrope starred the actor who achieved success in what TV series?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Rawhide",
"style": "rule"
}
|
{
"index": 7126,
"need_tools_kwargs": true,
"question": "Tightrope starred the actor who achieved success in what TV series?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 person who said \"Child is the father of man\" live?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1770-1850",
"style": "rule"
}
|
{
"index": 7127,
"need_tools_kwargs": true,
"question": "When did the person who said \"Child is the father of man\" live?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Without Limits is a biographical sports film about what distance runner who competed in the 1972 Olympics?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Steve Roland \"Pre\" Prefontaine",
"style": "rule"
}
|
{
"index": 7128,
"need_tools_kwargs": true,
"question": "Without Limits is a biographical sports film about what distance runner who competed in the 1972 Olympics?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "There are some different movies and 15 different books in the 'crazy silly school' series. If you read 11 of the books and watched 40 of the movies, there are 1 more book than movie in the 'crazy silly school' series. How many different movies are there in the series?",
"role": "user"
}
] |
math
|
{
"ground_truth": "14",
"style": "rule"
}
|
{
"index": 7129,
"need_tools_kwargs": true,
"question": "There are some different movies and 15 different books in the 'crazy silly school' series. If you read 11 of the books and watched 40 of the movies, there are 1 more book than movie in the 'crazy silly school' series. How many different movies are there in the series?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Grandpa prepared a pile of hazelnuts for his six grandchildren. Each grandchild took some hazelnuts in the following manner: Adam counted out half of the hazelnuts, took one extra hazelnut, and left. Bob, Cyril, Dan, and Eda followed the same pattern. By the time it was Franta's turn, there were no hazelnuts left. Determine how many hazelnuts were originally in the pile.",
"role": "user"
}
] |
math
|
{
"ground_truth": "62",
"style": "rule"
}
|
{
"index": 7130,
"need_tools_kwargs": true,
"question": "Grandpa prepared a pile of hazelnuts for his six grandchildren. Each grandchild took some hazelnuts in the following manner: Adam counted out half of the hazelnuts, took one extra hazelnut, and left. Bob, Cyril, Dan, and Eda followed the same pattern. By the time it was Franta's turn, there were no hazelnuts left. Determine how many hazelnuts were originally in the pile.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $\\mathbf{a}$ and $\\mathbf{b},$ let $\\mathbf{p}$ be a vector such that\n\\[\\|\\mathbf{p} - \\mathbf{b}\\| = 2 \\|\\mathbf{p} - \\mathbf{a}\\|.\\]Among all such vectors $\\mathbf{p},$ there exists constants $t$ and $u$ such that $\\mathbf{p}$ is at a fixed distance from $t \\mathbf{a} + u \\mathbf{b}.$ Enter the ordered pair $(t,u).$",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\left( \\frac{4}{3}, -\\frac{1}{3} \\right)",
"style": "rule"
}
|
{
"index": 7131,
"need_tools_kwargs": true,
"question": "Given vectors $\\mathbf{a}$ and $\\mathbf{b},$ let $\\mathbf{p}$ be a vector such that\n\\[\\|\\mathbf{p} - \\mathbf{b}\\| = 2 \\|\\mathbf{p} - \\mathbf{a}\\|.\\]Among all such vectors $\\mathbf{p},$ there exists constants $t$ and $u$ such that $\\mathbf{p}$ is at a fixed distance from $t \\mathbf{a} + u \\mathbf{b}.$ Enter the ordered pair $(t,u).$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 The Little Hut die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "heart attack",
"style": "rule"
}
|
{
"index": 7132,
"need_tools_kwargs": true,
"question": "Why did the director of film The Little Hut die?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of death of the director of film Gasparone (Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "21 February 1964",
"style": "rule"
}
|
{
"index": 7133,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film Gasparone (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": "In a school of wizardry, there are 13 students. Before a clairvoyance exam, the teacher seated them around a round table and asked each to guess who would receive the diploma of clairvoyance. Each student humbly did not mention themselves or their two neighbors and wrote: \"None of these ten will receive it!\" Of course, all those who passed the exam guessed correctly, and all the other students guessed incorrectly. How many wizards received the diploma?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 7134,
"need_tools_kwargs": true,
"question": "In a school of wizardry, there are 13 students. Before a clairvoyance exam, the teacher seated them around a round table and asked each to guess who would receive the diploma of clairvoyance. Each student humbly did not mention themselves or their two neighbors and wrote: \"None of these ten will receive it!\" Of course, all those who passed the exam guessed correctly, and all the other students guessed incorrectly. How many wizards received the diploma?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Xiao Zhang's daily sleep time is uniformly distributed between 6 to 9 hours, what is the probability that his average sleep time over two consecutive days is at least 7 hours?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{7}{9}",
"style": "rule"
}
|
{
"index": 7135,
"need_tools_kwargs": true,
"question": "If Xiao Zhang's daily sleep time is uniformly distributed between 6 to 9 hours, what is the probability that his average sleep time over two consecutive days is at least 7 hours?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Wicked Wisdom is a band formed by the actress who made her debut in what sitcom?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "True Colors",
"style": "rule"
}
|
{
"index": 7136,
"need_tools_kwargs": true,
"question": "Wicked Wisdom is a band formed by the actress who made her debut in what sitcom?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The sequence of positive integers $a_1, a_2, \\dots$ has the property that $\\gcd(a_m, a_n) > 1$ if and only if $|m - n| = 1$. Find the sum of the four smallest possible values of $a_2$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "42",
"style": "rule"
}
|
{
"index": 7137,
"need_tools_kwargs": true,
"question": "The sequence of positive integers $a_1, a_2, \\dots$ has the property that $\\gcd(a_m, a_n) > 1$ if and only if $|m - n| = 1$. Find the sum of the four smallest possible values of $a_2$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "\nThe trunk of the sky-high tree branches into two at a height of one foot. We consider a branch to be the section between two consecutive nodes where no further branching occurs. Each branch in the sky-high tree is straight and ends one foot higher than the lower end. We refer to the branches emerging from the higher end of a branch as its children, and these branches are also referred to as each other's siblings.\n\nEvery branch in the sky-high tree has at least two children, and if it doesn't have exactly two children, then it has a sibling with exactly two children. Siblings always have different numbers of children. If a branch has more than two children, then it has a sibling with exactly one fewer child than itself. \n\nHow many branches emerge from the nodes that are $n$ feet high?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\binom{2n+2}{n+1} - \\binom{2n+2}{n}",
"style": "rule"
}
|
{
"index": 7138,
"need_tools_kwargs": true,
"question": "\nThe trunk of the sky-high tree branches into two at a height of one foot. We consider a branch to be the section between two consecutive nodes where no further branching occurs. Each branch in the sky-high tree is straight and ends one foot higher than the lower end. We refer to the branches emerging from the higher end of a branch as its children, and these branches are also referred to as each other's siblings.\n\nEvery branch in the sky-high tree has at least two children, and if it doesn't have exactly two children, then it has a sibling with exactly two children. Siblings always have different numbers of children. If a branch has more than two children, then it has a sibling with exactly one fewer child than itself. \n\nHow many branches emerge from the nodes that are $n$ feet high?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 smallest result that can be obtained from the following process? \nChoose three different numbers from the set $\\{3,5,7,11,13,17\\}$. \nAdd two of these numbers. \nMultiply their sum by the third number. \nFind the smallest possible result.",
"role": "user"
}
] |
math
|
{
"ground_truth": "36",
"style": "rule"
}
|
{
"index": 7139,
"need_tools_kwargs": true,
"question": "What is the smallest result that can be obtained from the following process? \nChoose three different numbers from the set $\\{3,5,7,11,13,17\\}$. \nAdd two of these numbers. \nMultiply their sum by the third number. \nFind the smallest possible result.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 law school at which Howard A. Glickstein was an attorney, legal scholar, educator, and Dean Emeritus located? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Long Island, New York",
"style": "rule"
}
|
{
"index": 7140,
"need_tools_kwargs": true,
"question": "Where was the law school at which Howard A. Glickstein was an attorney, legal scholar, educator, and Dean Emeritus located? ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given the line $l: x-y+4=0$ and the circle $C: \\begin{cases}x=1+2\\cos \\theta \\\\ y=1+2\\sin \\theta\\end{cases} (\\theta$ is a parameter), find the distance from each point on $C$ to $l$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2 \\sqrt{2}-2",
"style": "rule"
}
|
{
"index": 7141,
"need_tools_kwargs": true,
"question": "Given the line $l: x-y+4=0$ and the circle $C: \\begin{cases}x=1+2\\cos \\theta \\\\ y=1+2\\sin \\theta\\end{cases} (\\theta$ is a parameter), find the distance from each point on $C$ to $l$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "You have some amount in nickels and quarters. You have the same number of each kind of coin, and you have 40 nickels. How much money do you have in total?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\$12",
"style": "rule"
}
|
{
"index": 7142,
"need_tools_kwargs": true,
"question": "You have some amount in nickels and quarters. You have the same number of each kind of coin, and you have 40 nickels. How much money do you have in total?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 cuckoo clock is on the wall. At the beginning of every hour, the cuckoo makes a number of \"cuckoo\" sounds equal to the hour displayed by the hour hand (for example, at 19:00 the cuckoo makes 7 sounds). One morning, Maxim approached the clock when it showed 9:05. He started turning the minute hand until he moved the time forward by 7 hours. How many times did the cuckoo make a sound during this time?",
"role": "user"
}
] |
math
|
{
"ground_truth": "43",
"style": "rule"
}
|
{
"index": 7143,
"need_tools_kwargs": true,
"question": "A cuckoo clock is on the wall. At the beginning of every hour, the cuckoo makes a number of \"cuckoo\" sounds equal to the hour displayed by the hour hand (for example, at 19:00 the cuckoo makes 7 sounds). One morning, Maxim approached the clock when it showed 9:05. He started turning the minute hand until he moved the time forward by 7 hours. How many times did the cuckoo make a sound during this time?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 equations of the \\( n \\) lines that pass through the origin and are perpendicular to the \\( n \\) lines represented by \\( a_{0} x^{n} + a_{1} x^{n-1} y + a_{2} x^{n-2} y^{2} + \\cdots + a_{n} y^{n} = 0 \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "0",
"style": "rule"
}
|
{
"index": 7144,
"need_tools_kwargs": true,
"question": "Find the equations of the \\( n \\) lines that pass through the origin and are perpendicular to the \\( n \\) lines represented by \\( a_{0} x^{n} + a_{1} x^{n-1} y + a_{2} x^{n-2} y^{2} + \\cdots + a_{n} y^{n} = 0 \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who starred in the 2001 film Saving Silverman who was also in \"Out of Sight\" (1998), \"Happy, Texas\" (1999), \"Riding in Cars with Boys\" (2001)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Steven James \"Steve\" Zahn",
"style": "rule"
}
|
{
"index": 7145,
"need_tools_kwargs": true,
"question": "Who starred in the 2001 film Saving Silverman who was also in \"Out of Sight\" (1998), \"Happy, Texas\" (1999), \"Riding in Cars with Boys\" (2001)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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, b, and c started a business with different capitals. At the end of the year, the profit share of b is Rs. 3500, and the difference between the profit shares of a and c is Rs. 1399.9999999999998. If b and c invested Rs. 10000 and Rs. 12000 respectively, how much did a invest?",
"role": "user"
}
] |
math
|
{
"ground_truth": "12628.57",
"style": "rule"
}
|
{
"index": 7146,
"need_tools_kwargs": true,
"question": "a, b, and c started a business with different capitals. At the end of the year, the profit share of b is Rs. 3500, and the difference between the profit shares of a and c is Rs. 1399.9999999999998. If b and c invested Rs. 10000 and Rs. 12000 respectively, how much did a invest?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Kanga labelled the vertices of a square-based pyramid using \\(1, 2, 3, 4,\\) and \\(5\\) once each. For each face, Kanga calculated the sum of the numbers on its vertices. Four of these sums equaled \\(7, 8, 9,\\) and \\(10\\). What is the sum for the fifth face?\nA) 11\nB) 12\nC) 13\nD) 14\nE) 15",
"role": "user"
}
] |
math
|
{
"ground_truth": "13",
"style": "rule"
}
|
{
"index": 7147,
"need_tools_kwargs": true,
"question": "Kanga labelled the vertices of a square-based pyramid using \\(1, 2, 3, 4,\\) and \\(5\\) once each. For each face, Kanga calculated the sum of the numbers on its vertices. Four of these sums equaled \\(7, 8, 9,\\) and \\(10\\). What is the sum for the fifth face?\nA) 11\nB) 12\nC) 13\nD) 14\nE) 15",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Taxi (1953 Film) die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "December 14, 1960",
"style": "rule"
}
|
{
"index": 7148,
"need_tools_kwargs": true,
"question": "When did the director of film Taxi (1953 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": "$P$ is a point inside triangle $\\triangle ABC$. Line $AC$ and $BP$ intersect at $Q$, and line $AB$ and $CP$ intersect at $R$. It is known that $AR = RB = CP$ and $CQ = PQ$. Find the measure of $\\angle BRC$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "120",
"style": "rule"
}
|
{
"index": 7149,
"need_tools_kwargs": true,
"question": "$P$ is a point inside triangle $\\triangle ABC$. Line $AC$ and $BP$ intersect at $Q$, and line $AB$ and $CP$ intersect at $R$. It is known that $AR = RB = CP$ and $CQ = PQ$. Find the measure of $\\angle BRC$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 \\( N \\) be the set of non-negative integers. The function \\( f: N \\to N \\) satisfies \\( f(a+b) = f(f(a)+b) \\) for all \\( a \\), \\( b \\) and \\( f(a+b) = f(a) + f(b) \\) for \\( a+b < 10 \\). Also \\( f(10) = 1 \\). How many three-digit numbers \\( n \\) satisfy \\( f(n) = f(N) \\), where \\( N \\) is the \"tower\" 2, 3, 4, 5, in other words, it is \\( 2^{a} \\), where \\( a = 3^{b} \\), where \\( b = 4^{5} \\)?",
"role": "user"
}
] |
math
|
{
"ground_truth": "100",
"style": "rule"
}
|
{
"index": 7150,
"need_tools_kwargs": true,
"question": "Let \\( N \\) be the set of non-negative integers. The function \\( f: N \\to N \\) satisfies \\( f(a+b) = f(f(a)+b) \\) for all \\( a \\), \\( b \\) and \\( f(a+b) = f(a) + f(b) \\) for \\( a+b < 10 \\). Also \\( f(10) = 1 \\). How many three-digit numbers \\( n \\) satisfy \\( f(n) = f(N) \\), where \\( N \\) is the \"tower\" 2, 3, 4, 5, in other words, it is \\( 2^{a} \\), where \\( a = 3^{b} \\), where \\( b = 4^{5} \\)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who is the spouse of the director of film Mr. Love?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Judy Loe",
"style": "rule"
}
|
{
"index": 7151,
"need_tools_kwargs": true,
"question": "Who is the spouse of the director of film Mr. Love?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 mass percentage of H in Dihydrogen monoxide",
"role": "user"
}
] |
math
|
{
"ground_truth": "11.19\\%",
"style": "rule"
}
|
{
"index": 7152,
"need_tools_kwargs": true,
"question": "Find the mass percentage of H in Dihydrogen monoxide",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who was the first recipient of the Nebula Award for Best Game Writing?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Charlie Brooker",
"style": "rule"
}
|
{
"index": 7153,
"need_tools_kwargs": true,
"question": "Who was the first recipient of the Nebula Award for Best Game Writing?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What was the actress which acted the role of Nell Trent best known for? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "role as Evelyn Doyle in the Irish film \"Evelyn\"",
"style": "rule"
}
|
{
"index": 7154,
"need_tools_kwargs": true,
"question": "What was the actress which acted the role of Nell Trent best known 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": "What was the 2004 novel-turned-film adaptation that Freddie Highmore starred in? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Five Children and It",
"style": "rule"
}
|
{
"index": 7155,
"need_tools_kwargs": true,
"question": "What was the 2004 novel-turned-film adaptation that Freddie Highmore starred 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": "For how many integers $n$ with $1 \\le n \\le 2012$ is the product\n\\[\n \\prod_{k=0}^{n-1} \\left( \\left( 1 + e^{2 \\pi i k / n} \\right)^n + 1 \\right) \n\\]equal to zero?",
"role": "user"
}
] |
math
|
{
"ground_truth": "335",
"style": "rule"
}
|
{
"index": 7156,
"need_tools_kwargs": true,
"question": "For how many integers $n$ with $1 \\le n \\le 2012$ is the product\n\\[\n \\prod_{k=0}^{n-1} \\left( \\left( 1 + e^{2 \\pi i k / n} \\right)^n + 1 \\right) \n\\]equal to zero?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The table below displays the grade distribution of the $30$ students in a mathematics class on the last two tests. For example, exactly one student received a 'D' on Test 1 and a 'C' on Test 2. What percent of the students received the same grade on both tests?",
"role": "user"
}
] |
math
|
{
"ground_truth": "40\\%",
"style": "rule"
}
|
{
"index": 7157,
"need_tools_kwargs": true,
"question": "The table below displays the grade distribution of the $30$ students in a mathematics class on the last two tests. For example, exactly one student received a 'D' on Test 1 and a 'C' on Test 2. What percent of the students received the same grade on both tests?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Mary is baking a cake. The recipe calls for 2.25 kg of flour and 5.5 lb of sugar. She has already put in 1 kg of flour. How many more grams of sugar than grams of flour does she need to add now? (Assume 1 kg = 2.205 lb)",
"role": "user"
}
] |
math
|
{
"ground_truth": "1244.8",
"style": "rule"
}
|
{
"index": 7158,
"need_tools_kwargs": true,
"question": "Mary is baking a cake. The recipe calls for 2.25 kg of flour and 5.5 lb of sugar. She has already put in 1 kg of flour. How many more grams of sugar than grams of flour does she need to add now? (Assume 1 kg = 2.205 lb)",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $6 \\times 9$ rectangle can be rolled to form two different cylinders. Calculate the ratio of the larger volume to the smaller volume. Express your answer as a common fraction.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{3}{2}",
"style": "rule"
}
|
{
"index": 7159,
"need_tools_kwargs": true,
"question": "A $6 \\times 9$ rectangle can be rolled to form two different cylinders. Calculate the ratio of the larger volume to the smaller volume. 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": "Who is the mother of Princess Carolina of Orange-Nassau and the daughter of King George II of Great Britain?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Anne, Princess Royal and Princess of Orange",
"style": "rule"
}
|
{
"index": 7160,
"need_tools_kwargs": true,
"question": "Who is the mother of Princess Carolina of Orange-Nassau and the daughter of King George II of Great Britain?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The line from the origin to the point \\((1, \\tan 75^\\circ)\\) intersects the unit circle at \\(P\\). Find the slope of the tangent line to the circle at \\(P\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "-2+\\sqrt{3}",
"style": "rule"
}
|
{
"index": 7161,
"need_tools_kwargs": true,
"question": "The line from the origin to the point \\((1, \\tan 75^\\circ)\\) intersects the unit circle at \\(P\\). Find the slope of the tangent line to the circle at \\(P\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The sum of the interior angles of a pentagon is ____.",
"role": "user"
}
] |
math
|
{
"ground_truth": "540^{\\circ}",
"style": "rule"
}
|
{
"index": 7162,
"need_tools_kwargs": true,
"question": "The sum of the interior angles of a pentagon 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": "Design an algorithm to calculate $1 \\times 3 \\times 5 \\times 7 \\times 9 \\times 11 \\times 13$. Part of the program is given below. The number that cannot be filled in at position ① is ( )\n\n$S=1$\n\n$i=3$\n\n$WHILE$ $i < $①\n\n$S=S*i$\n\n$i=i+2$\n\n$WEND$\n\n$PRINT$ $S$\n\n$END$\n\nA: $13$\n\nB: $13.5$\n\nC: $14$\n\nD: $14.5$",
"role": "user"
}
] |
math
|
{
"ground_truth": "A: 13",
"style": "rule"
}
|
{
"index": 7163,
"need_tools_kwargs": true,
"question": "Design an algorithm to calculate $1 \\times 3 \\times 5 \\times 7 \\times 9 \\times 11 \\times 13$. Part of the program is given below. The number that cannot be filled in at position ① is ( )\n\n$S=1$\n\n$i=3$\n\n$WHILE$ $i < $①\n\n$S=S*i$\n\n$i=i+2$\n\n$WEND$\n\n$PRINT$ $S$\n\n$END$\n\nA: $13$\n\nB: $13.5$\n\nC: $14$\n\nD: $14.5$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Car A traveled 360 miles in 4 hours and 30 minutes, Car B traveled 870 kilometers in 6 hours and 45 minutes, and Car C traveled 1150 kilometers in 10 hours. Convert the distances and times to miles and hours, respectively, then calculate the speed for each car in miles per hour. Determine which car was traveling the fastest.\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "80.088",
"style": "rule"
}
|
{
"index": 7164,
"need_tools_kwargs": true,
"question": "Car A traveled 360 miles in 4 hours and 30 minutes, Car B traveled 870 kilometers in 6 hours and 45 minutes, and Car C traveled 1150 kilometers in 10 hours. Convert the distances and times to miles and hours, respectively, then calculate the speed for each car in miles per hour. Determine which car was traveling the fastest.\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": "Andy Wright worked with with this Australian singer-songwriter, model and actress who played what character in the Australian soap opera \"Neighbours\"?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Beth Brennan",
"style": "rule"
}
|
{
"index": 7165,
"need_tools_kwargs": true,
"question": "Andy Wright worked with with this Australian singer-songwriter, model and actress who played what character in the Australian soap opera \"Neighbours\"?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What was the author of Blow-Up and Other Stories known as the founder of?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Latin American Boom",
"style": "rule"
}
|
{
"index": 7166,
"need_tools_kwargs": true,
"question": "What was the author of Blow-Up and Other Stories known as the founder of?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 point is \"bouncing\" inside a unit equilateral triangle with vertices $(0,0)$ , $(1,0)$ , and $(1/2,\\sqrt{3}/2)$ . The point moves in straight lines inside the triangle and bounces elastically off an edge at an angle equal to the angle of incidence. Suppose that the point starts at the origin and begins motion in the direction of $(1,1)$ . After the ball has traveled a cumulative distance of $30\\sqrt{2}$ , compute its distance from the origin.",
"role": "user"
}
] |
math
|
{
"ground_truth": "30-17\\sqrt{3}",
"style": "rule"
}
|
{
"index": 7167,
"need_tools_kwargs": true,
"question": "A point is \"bouncing\" inside a unit equilateral triangle with vertices $(0,0)$ , $(1,0)$ , and $(1/2,\\sqrt{3}/2)$ . The point moves in straight lines inside the triangle and bounces elastically off an edge at an angle equal to the angle of incidence. Suppose that the point starts at the origin and begins motion in the direction of $(1,1)$ . After the ball has traveled a cumulative distance of $30\\sqrt{2}$ , compute its distance from the origin.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where did Mirza Farkhunda Shah's father die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Rangoon",
"style": "rule"
}
|
{
"index": 7168,
"need_tools_kwargs": true,
"question": "Where did Mirza Farkhunda Shah's father 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": "Three friends, Alex, Bob, and Carla, ordered a pizza with 12 equally-sized slices. Half of the pizza was vegetarian, which incurred an extra cost of $3. Carla ate all the vegetarian slices and two of the regular slices, Bob ate three of the regular slices, and Alex ate the remaining slices. The base cost of the plain pizza was $10. Calculate how much more Carla paid than Bob.",
"role": "user"
}
] |
math
|
{
"ground_truth": "5.42",
"style": "rule"
}
|
{
"index": 7169,
"need_tools_kwargs": true,
"question": "Three friends, Alex, Bob, and Carla, ordered a pizza with 12 equally-sized slices. Half of the pizza was vegetarian, which incurred an extra cost of $3. Carla ate all the vegetarian slices and two of the regular slices, Bob ate three of the regular slices, and Alex ate the remaining slices. The base cost of the plain pizza was $10. Calculate how much more Carla paid than Bob.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Submarine Seahawk?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American",
"style": "rule"
}
|
{
"index": 7170,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Submarine Seahawk?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Factor $36-9x^2$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "9(2-x)(2+x)",
"style": "rule"
}
|
{
"index": 7171,
"need_tools_kwargs": true,
"question": "Factor $36-9x^2$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $\\oplus$ denote the xor binary operation. Define $x \\star y=(x+y)-(x\\oplus y).$ Compute $$\\sum_{k=1}^{63} (k \\star 45).$$([i]Remark:[/i] The xor operation works as follows: when considered in binary, the $k$th binary digit of $a \\oplus b$ is $1$ exactly when the $k$th binary digits of $a$ and $b$ are different. For example, $5 \\oplus 12 = 0101_2 \\oplus 1100_2=1001_2=9.$)",
"role": "user"
}
] |
math
|
{
"ground_truth": "2880",
"style": "rule"
}
|
{
"index": 7172,
"need_tools_kwargs": true,
"question": "Let $\\oplus$ denote the xor binary operation. Define $x \\star y=(x+y)-(x\\oplus y).$ Compute $$\\sum_{k=1}^{63} (k \\star 45).$$([i]Remark:[/i] The xor operation works as follows: when considered in binary, the $k$th binary digit of $a \\oplus b$ is $1$ exactly when the $k$th binary digits of $a$ and $b$ are different. For example, $5 \\oplus 12 = 0101_2 \\oplus 1100_2=1001_2=9.$)",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Consider the number 2.5 and express it as the sum of two non-negative numbers, \\(x\\) and \\(y\\), such that \\(x + y = 2.5\\). After determining the values of \\(x\\) and \\(y\\), round each number to the nearest integer. What is the probability that the sum of the two rounded integers equals 3?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{2}{5}",
"style": "rule"
}
|
{
"index": 7173,
"need_tools_kwargs": true,
"question": "Consider the number 2.5 and express it as the sum of two non-negative numbers, \\(x\\) and \\(y\\), such that \\(x + y = 2.5\\). After determining the values of \\(x\\) and \\(y\\), round each number to the nearest integer. What is the probability that the sum of the two rounded integers equals 3?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the name of the wife of Svend Borberg's son?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Sunny von Bülow",
"style": "rule"
}
|
{
"index": 7174,
"need_tools_kwargs": true,
"question": "What is the name of the wife of Svend Borberg's son?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 legs of a right triangle are 9 cm and 12 cm. Find the distance between the point of intersection of its angle bisectors and the point of intersection of its medians.",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"index": 7175,
"need_tools_kwargs": true,
"question": "The legs of a right triangle are 9 cm and 12 cm. Find the distance between the point of intersection of its angle bisectors and the point of intersection of its medians.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 bombing event that was marked in a special program of The Late Late Tribute Shows six months later occur?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "15 August 1998",
"style": "rule"
}
|
{
"index": 7176,
"need_tools_kwargs": true,
"question": "When did the bombing event that was marked in a special program of The Late Late Tribute Shows six months later occur?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 is On Broadway, Inc. and Green Bay, Wisconsin connected?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Fox River",
"style": "rule"
}
|
{
"index": 7177,
"need_tools_kwargs": true,
"question": "how is On Broadway, Inc. and Green Bay, Wisconsin connected?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 major axis of an ellipse be $AB$ , let $O$ be its center, and let $F$ be one of its foci. $P$ is a point on the ellipse, and $CD$ a chord through $O$ , such that $CD$ is parallel to the tangent of the ellipse at $P$ . $PF$ and $CD$ intersect at $Q$ . Compare the lengths of $PQ$ and $OA$ .",
"role": "user"
}
] |
math
|
{
"ground_truth": "PQ \\leq OA",
"style": "rule"
}
|
{
"index": 7178,
"need_tools_kwargs": true,
"question": "Let the major axis of an ellipse be $AB$ , let $O$ be its center, and let $F$ be one of its foci. $P$ is a point on the ellipse, and $CD$ a chord through $O$ , such that $CD$ is parallel to the tangent of the ellipse at $P$ . $PF$ and $CD$ intersect at $Q$ . Compare the lengths of $PQ$ and $OA$ .",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 reaction where 10 moles of Aluminum react with 6 moles of Iron(III) Oxide in a redox reaction. Determine the number of moles of Aluminum Oxide formed.",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
|
{
"index": 7179,
"need_tools_kwargs": true,
"question": "Consider a reaction where 10 moles of Aluminum react with 6 moles of Iron(III) Oxide in a redox reaction. Determine the number of moles of Aluminum Oxide 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": "Piano Concerto was premiered by a pianist who has what ethnicity?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Chinese",
"style": "rule"
}
|
{
"index": 7180,
"need_tools_kwargs": true,
"question": "Piano Concerto was premiered by a pianist who has what ethnicity?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 recent years, the awareness of traffic safety among citizens has gradually increased, leading to a greater demand for helmets. A certain store purchased two types of helmets, type A and type B. It is known that they bought 20 type A helmets and 30 type B helmets, spending a total of 2920 yuan. The unit price of type A helmets is 11 yuan higher than the unit price of type B helmets. \n$(1)$ What are the unit prices of type A and type B helmets, respectively? \n$(2)$ The store decides to purchase 40 more helmets of type A and type B. They coincide with a promotional event by the manufacturer: type A helmets are sold at 20% off the unit price, and type B helmets are discounted by 6 yuan each. If the number of type A helmets purchased this time is not less than half the number of type B helmets, how many type A helmets should be purchased to minimize the total cost of this purchase? What is the minimum cost?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1976",
"style": "rule"
}
|
{
"index": 7181,
"need_tools_kwargs": true,
"question": "In recent years, the awareness of traffic safety among citizens has gradually increased, leading to a greater demand for helmets. A certain store purchased two types of helmets, type A and type B. It is known that they bought 20 type A helmets and 30 type B helmets, spending a total of 2920 yuan. The unit price of type A helmets is 11 yuan higher than the unit price of type B helmets. \n$(1)$ What are the unit prices of type A and type B helmets, respectively? \n$(2)$ The store decides to purchase 40 more helmets of type A and type B. They coincide with a promotional event by the manufacturer: type A helmets are sold at 20% off the unit price, and type B helmets are discounted by 6 yuan each. If the number of type A helmets purchased this time is not less than half the number of type B helmets, how many type A helmets should be purchased to minimize the total cost of this purchase? What is the minimum 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": "What high school did RuPaul Charles attend in California?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Patrick Henry High School",
"style": "rule"
}
|
{
"index": 7182,
"need_tools_kwargs": true,
"question": "What high school did RuPaul Charles attend in California?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "How old was Aniol Serrasolses when he kayaked for the first time down the largest glacial waterfall ever recorded in Norway?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "32",
"style": "rule"
}
|
{
"index": 7183,
"need_tools_kwargs": true,
"question": "How old was Aniol Serrasolses when he kayaked for the first time down the largest glacial waterfall ever recorded in Norway?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 John Njenga and Margulan Seisembayev share the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 7184,
"need_tools_kwargs": true,
"question": "Do John Njenga and Margulan Seisembayev 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": "From post office $A$, a car leaves heading towards post office $B$. After 20 minutes, a motorcyclist departs in pursuit of the car, traveling at a speed of 60 km/h. Upon catching up with the car, the motorcyclist delivers a package to the driver's cab and immediately turns back. The car reaches $B$ at the moment when the motorcyclist is halfway back from the rendezvous point to $A$. Determine the speed of the car, given that the distance from $A$ to $B$ is 82.5 km.",
"role": "user"
}
] |
math
|
{
"ground_truth": "45",
"style": "rule"
}
|
{
"index": 7185,
"need_tools_kwargs": true,
"question": "From post office $A$, a car leaves heading towards post office $B$. After 20 minutes, a motorcyclist departs in pursuit of the car, traveling at a speed of 60 km/h. Upon catching up with the car, the motorcyclist delivers a package to the driver's cab and immediately turns back. The car reaches $B$ at the moment when the motorcyclist is halfway back from the rendezvous point to $A$. Determine the speed of the car, given that the distance from $A$ to $B$ is 82.5 km.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given the system of equations:\n\\[ 3x - 2y + z = 0 \\]\n\\[ x - 4y + 3z = 0 \\]\n\\[ 2x + y - 5z = 0 \\]\nfind the numerical value of the expression \\(\\frac{x^2 - 2xy + yz}{x^2 + z^2}\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{1}{2}",
"style": "rule"
}
|
{
"index": 7186,
"need_tools_kwargs": true,
"question": "Given the system of equations:\n\\[ 3x - 2y + z = 0 \\]\n\\[ x - 4y + 3z = 0 \\]\n\\[ 2x + y - 5z = 0 \\]\nfind the numerical value of the expression \\(\\frac{x^2 - 2xy + yz}{x^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": "When did the director of film Artists And Models Abroad die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "October 28, 1972",
"style": "rule"
}
|
{
"index": 7187,
"need_tools_kwargs": true,
"question": "When did the director of film Artists And Models Abroad 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": "Which film was released more recently, The Chronicles Of Melanie or The Lords Of Discipline (Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "The Chronicles Of Melanie",
"style": "rule"
}
|
{
"index": 7188,
"need_tools_kwargs": true,
"question": "Which film was released more recently, The Chronicles Of Melanie or The Lords Of Discipline (Film)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where was the director of film Muhafiz (1998 Film) born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Lahore",
"style": "rule"
}
|
{
"index": 7189,
"need_tools_kwargs": true,
"question": "Where was the director of film Muhafiz (1998 Film) born?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given that $\\alpha$ and $\\beta$ are the roots of $x^2 - 2x - 1 = 0,$ find $4 \\alpha^3 + 5 \\beta^4.$",
"role": "user"
}
] |
math
|
{
"ground_truth": "-40\\alpha + 153",
"style": "rule"
}
|
{
"index": 7190,
"need_tools_kwargs": true,
"question": "Given that $\\alpha$ and $\\beta$ are the roots of $x^2 - 2x - 1 = 0,$ find $4 \\alpha^3 + 5 \\beta^4.$",
"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": "In the polar coordinate system, the polar coordinate equation of the curve $\\Gamma$ is $\\rho= \\frac {4\\cos \\theta}{\\sin ^{2}\\theta}$. Establish a rectangular coordinate system with the pole as the origin, the polar axis as the positive semi-axis of $x$, and the unit length unchanged. The lines $l_{1}$ and $l_{2}$ both pass through the point $F(1,0)$, and $l_{1} \\perp l_{2}$. The slope angle of line $l_{1}$ is $\\alpha$.\n(1) Write the rectangular coordinate equation of the curve $\\Gamma$; write the parameter equations of $l_{1}$ and $l_{2}$;\n(2) Suppose lines $l_{1}$ and $l_{2}$ intersect curve $\\Gamma$ at points $A$, $B$ and $C$, $D$ respectively. The midpoints of segments $AB$ and $CD$ are $M$ and $N$ respectively. Find the minimum value of $|MN|$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "4 \\sqrt {2}",
"style": "rule"
}
|
{
"index": 7191,
"need_tools_kwargs": true,
"question": "In the polar coordinate system, the polar coordinate equation of the curve $\\Gamma$ is $\\rho= \\frac {4\\cos \\theta}{\\sin ^{2}\\theta}$. Establish a rectangular coordinate system with the pole as the origin, the polar axis as the positive semi-axis of $x$, and the unit length unchanged. The lines $l_{1}$ and $l_{2}$ both pass through the point $F(1,0)$, and $l_{1} \\perp l_{2}$. The slope angle of line $l_{1}$ is $\\alpha$.\n(1) Write the rectangular coordinate equation of the curve $\\Gamma$; write the parameter equations of $l_{1}$ and $l_{2}$;\n(2) Suppose lines $l_{1}$ and $l_{2}$ intersect curve $\\Gamma$ at points $A$, $B$ and $C$, $D$ respectively. The midpoints of segments $AB$ and $CD$ are $M$ and $N$ respectively. Find the minimum value of $|MN|$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What was the birth name of the character that Silver Fox was a former love interest of?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "James Howlett",
"style": "rule"
}
|
{
"index": 7192,
"need_tools_kwargs": true,
"question": "What was the birth name of the character that Silver Fox was a former love interest of?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 school cafeteria line, there are 16 students alternating between boys and girls (starting with a boy, followed by a girl, then a boy, and so on). Any boy, followed immediately by a girl, can swap places with her. After some time, all the girls end up at the beginning of the line and all the boys are at the end. How many swaps were made?",
"role": "user"
}
] |
math
|
{
"ground_truth": "36",
"style": "rule"
}
|
{
"index": 7193,
"need_tools_kwargs": true,
"question": "In a school cafeteria line, there are 16 students alternating between boys and girls (starting with a boy, followed by a girl, then a boy, and so on). Any boy, followed immediately by a girl, can swap places with her. After some time, all the girls end up at the beginning of the line and all the boys are at the end. How many swaps were made?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Razlivnaya and Nigmatullino located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 7194,
"need_tools_kwargs": true,
"question": "Are both Razlivnaya and Nigmatullino located in the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In recent years, live streaming e-commerce has gradually become an emerging marketing model, bringing new growth points to the e-commerce industry. At the beginning of the first year, a certain live streaming platform had an initial capital of 5 million yuan. Due to the participation of some well-known hosts, the platform's annual average capital growth rate can reach 40%. At the end of each year, operating costs of $a$ million yuan are deducted, and the remaining funds are reinvested in the live streaming platform. \n$(1)$ If $a=100$, how many million yuan will the live streaming platform have at the end of the third year after deducting operating costs? \n$(2)$ How much should the maximum annual operating cost be controlled at most, in order for the live streaming platform to reach 3000 million yuan at the end of the sixth year after deducting operating costs? (Give the result accurate to 0.1 million yuan)",
"role": "user"
}
] |
math
|
{
"ground_truth": "46.8",
"style": "rule"
}
|
{
"index": 7195,
"need_tools_kwargs": true,
"question": "In recent years, live streaming e-commerce has gradually become an emerging marketing model, bringing new growth points to the e-commerce industry. At the beginning of the first year, a certain live streaming platform had an initial capital of 5 million yuan. Due to the participation of some well-known hosts, the platform's annual average capital growth rate can reach 40%. At the end of each year, operating costs of $a$ million yuan are deducted, and the remaining funds are reinvested in the live streaming platform. \n$(1)$ If $a=100$, how many million yuan will the live streaming platform have at the end of the third year after deducting operating costs? \n$(2)$ How much should the maximum annual operating cost be controlled at most, in order for the live streaming platform to reach 3000 million yuan at the end of the sixth year after deducting operating costs? (Give the result accurate to 0.1 million yuan)",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 The Rewrite and Molly And Lawless John films have the directors from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 7196,
"need_tools_kwargs": true,
"question": "Do both The Rewrite and Molly And Lawless John films 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": "The average of some numbers is 5 more than the average of 10, 60, and 35. If the other numbers are 20 and 60, what is the second number?",
"role": "user"
}
] |
math
|
{
"ground_truth": "40",
"style": "rule"
}
|
{
"index": 7197,
"need_tools_kwargs": true,
"question": "The average of some numbers is 5 more than the average of 10, 60, and 35. If the other numbers are 20 and 60, what is the second number?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who was the writer of the British sitcom starring the actor best known for his work on the sitcom \"Black Adder\"?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Ben Elton",
"style": "rule"
}
|
{
"index": 7198,
"need_tools_kwargs": true,
"question": "Who was the writer of the British sitcom starring the actor best known for his work on the sitcom \"Black Adder\"?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 \\( x, y, z \\geq 0 \\) with at most one of them being zero, find the minimum value of\n\\[ f(x, y, z) = \\sum \\sqrt{\\frac{x^{2}+256 y z}{y^{2}+z^{2}}} \\]\nwhere \\(\\sum\\) represents a cyclic sum.",
"role": "user"
}
] |
math
|
{
"ground_truth": "12",
"style": "rule"
}
|
{
"index": 7199,
"need_tools_kwargs": true,
"question": "Given \\( x, y, z \\geq 0 \\) with at most one of them being zero, find the minimum value of\n\\[ f(x, y, z) = \\sum \\sqrt{\\frac{x^{2}+256 y z}{y^{2}+z^{2}}} \\]\nwhere \\(\\sum\\) represents a cyclic sum.",
"split": "train"
}
| null |
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