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": "In the expansion of \\((x+y+z)^{8}\\), what is the sum of the coefficients for all terms of the form \\(x^{2} y^{a} z^{b}\\) (where \\(a, b \\in \\mathbf{N})\\)?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1792",
"style": "rule"
}
|
{
"index": 8000,
"need_tools_kwargs": true,
"question": "In the expansion of \\((x+y+z)^{8}\\), what is the sum of the coefficients for all terms of the form \\(x^{2} y^{a} z^{b}\\) (where \\(a, b \\in \\mathbf{N})\\)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the premier date of this South Korean television drama airing every Wednesday and Thursday, in which Jung Hae-in appears?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "September 27, 2017",
"style": "rule"
}
|
{
"index": 8001,
"need_tools_kwargs": true,
"question": "What is the premier date of this South Korean television drama airing every Wednesday and Thursday, in which Jung Hae-in appears?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Cawthra Park Secondary School and Crestline High School both located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 8002,
"need_tools_kwargs": true,
"question": "Are Cawthra Park Secondary School and Crestline High School both located in the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "For a certain value of $k$, the system\n\\begin{align*}\nx + ky + 5z &= 0, \\\\\n4x + ky - 3z &= 0, \\\\\n3x + 5y - 4z &= 0\n\\end{align*}\nhas a solution where $x$, $y$, and $z$ are all nonzero. Find $\\frac{xz}{y^2}$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{2}{15}",
"style": "rule"
}
|
{
"index": 8003,
"need_tools_kwargs": true,
"question": "For a certain value of $k$, the system\n\\begin{align*}\nx + ky + 5z &= 0, \\\\\n4x + ky - 3z &= 0, \\\\\n3x + 5y - 4z &= 0\n\\end{align*}\nhas a solution where $x$, $y$, and $z$ are all nonzero. Find $\\frac{xz}{y^2}$.",
"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": "Who is younger, Étienne Jalenques or Ted Bates (Mayor of Warren)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Étienne Jalenques",
"style": "rule"
}
|
{
"index": 8004,
"need_tools_kwargs": true,
"question": "Who is younger, Étienne Jalenques or Ted Bates (Mayor of Warren)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given a triangle \\(ABC\\). Point \\(P\\) is the center of the inscribed circle. Find the angle \\(B\\), given that \\(R_{ABC} = R_{APC}\\), where \\(R_{ABC}\\) and \\(R_{APC}\\) are the circumradii of triangles \\(ABC\\) and \\(APC\\) respectively.",
"role": "user"
}
] |
math
|
{
"ground_truth": "60",
"style": "rule"
}
|
{
"index": 8005,
"need_tools_kwargs": true,
"question": "Given a triangle \\(ABC\\). Point \\(P\\) is the center of the inscribed circle. Find the angle \\(B\\), given that \\(R_{ABC} = R_{APC}\\), where \\(R_{ABC}\\) and \\(R_{APC}\\) are the circumradii of triangles \\(ABC\\) and \\(APC\\) respectively.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Find the largest real number \\(\\lambda\\) such that for the real-coefficient polynomial \\(f(x) = x^3 + ax^2 + bx + c\\) with all roots non-negative real numbers, we have \\(f(x) \\geqslant \\lambda(x - a)^3\\) for all \\(x \\geqslant 0\\). Also, determine when the equality holds.",
"role": "user"
}
] |
math
|
{
"ground_truth": "-\\frac{1}{27}",
"style": "rule"
}
|
{
"index": 8006,
"need_tools_kwargs": true,
"question": "Find the largest real number \\(\\lambda\\) such that for the real-coefficient polynomial \\(f(x) = x^3 + ax^2 + bx + c\\) with all roots non-negative real numbers, we have \\(f(x) \\geqslant \\lambda(x - a)^3\\) for all \\(x \\geqslant 0\\). Also, determine when the equality holds.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In $\\triangle ABC$, $A=60^{\\circ}$, $c=2$, and $S_{\\triangle ABC}= \\frac{ \\sqrt{3}}{2}$, find the length of side $a$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "a = \\sqrt{3}",
"style": "rule"
}
|
{
"index": 8007,
"need_tools_kwargs": true,
"question": "In $\\triangle ABC$, $A=60^{\\circ}$, $c=2$, and $S_{\\triangle ABC}= \\frac{ \\sqrt{3}}{2}$, find the length of side $a$.",
"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": "Which country the director of film The Reincarnation Of Golden Lotus is from?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Australia",
"style": "rule"
}
|
{
"index": 8008,
"need_tools_kwargs": true,
"question": "Which country the director of film The Reincarnation Of Golden Lotus is from?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Two concentric circles have radii $1$ and $2$. Two points on the outer circle are chosen independently and uniformly at random. What is the probability that the chord joining the two points intersects the inner circle?\n$\\textbf{(A)}\\ \\frac{1}{6}\\qquad \\textbf{(B)}\\ \\frac{1}{4}\\qquad \\textbf{(C)}\\ \\frac{2-\\sqrt{2}}{2}\\qquad \\textbf{(D)}\\ \\frac{1}{3}\\qquad \\textbf{(E)}\\ \\frac{1}{2}\\qquad$",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{1}{3}",
"style": "rule"
}
|
{
"index": 8009,
"need_tools_kwargs": true,
"question": "Two concentric circles have radii $1$ and $2$. Two points on the outer circle are chosen independently and uniformly at random. What is the probability that the chord joining the two points intersects the inner circle?\n$\\textbf{(A)}\\ \\frac{1}{6}\\qquad \\textbf{(B)}\\ \\frac{1}{4}\\qquad \\textbf{(C)}\\ \\frac{2-\\sqrt{2}}{2}\\qquad \\textbf{(D)}\\ \\frac{1}{3}\\qquad \\textbf{(E)}\\ \\frac{1}{2}\\qquad$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "This year is 2014. The number 2014 is not a perfect square, but its digits can be rearranged to form a new four-digit number that is a perfect square. For example, \\(1024 = 32^2\\). Given that using the digits \\(2, 0, 1, 4\\) exactly once can form another four-digit perfect square, find this new four-digit perfect square.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2401",
"style": "rule"
}
|
{
"index": 8010,
"need_tools_kwargs": true,
"question": "This year is 2014. The number 2014 is not a perfect square, but its digits can be rearranged to form a new four-digit number that is a perfect square. For example, \\(1024 = 32^2\\). Given that using the digits \\(2, 0, 1, 4\\) exactly once can form another four-digit perfect square, find this new four-digit perfect 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": "In the complex plane, let \\( A \\) be the set of solutions to the equation \\( z^3 - 27 = 0 \\) and let \\( B \\) be the set of solutions to the equation \\( z^2 - 6z + 9 = 0 \\). Determine the greatest distance between any point in set \\( A \\) and any point in set \\( B \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "3\\sqrt{7}",
"style": "rule"
}
|
{
"index": 8011,
"need_tools_kwargs": true,
"question": "In the complex plane, let \\( A \\) be the set of solutions to the equation \\( z^3 - 27 = 0 \\) and let \\( B \\) be the set of solutions to the equation \\( z^2 - 6z + 9 = 0 \\). Determine the greatest distance between any point in set \\( A \\) and any point in set \\( B \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the name of the limit that was named in honour of the person who was honoured by having the number that represents the number of protons named after him?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Eddington limit",
"style": "rule"
}
|
{
"index": 8012,
"need_tools_kwargs": true,
"question": "What is the name of the limit that was named in honour of the person who was honoured by having the number that represents the number of protons named after him?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What American politician, who was the first formally designated floor leader in the United States Senate, lived at 2000 G Street in Washington, D.C. from 1914 to 1925?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Oscar Wilder Underwood",
"style": "rule"
}
|
{
"index": 8013,
"need_tools_kwargs": true,
"question": "What American politician, who was the first formally designated floor leader in the United States Senate, lived at 2000 G Street in Washington, D.C. from 1914 to 1925?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Hearts of Age or The Last Note?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "The Last Note",
"style": "rule"
}
|
{
"index": 8014,
"need_tools_kwargs": true,
"question": "Which film was released more recently, The Hearts of Age or The Last Note?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 xy-plane of the Cartesian coordinate system, there are points O(0,0) and A(0,1). A moving point M(x,y) has a projection point N on the x-axis, and the following relationship holds: $$\\overrightarrow {MA}\\cdot \\overrightarrow {MO}= \\overrightarrow {MO}\\cdot \\overrightarrow {MN}$$.\n(1) Find the trajectory equation of the moving point M;\n(2) A line passing through the point $$T(0,-\\frac{1}{4})$$ intersects the trajectory of point M at points P and Q. If $$\\overrightarrow {TQ}=3 \\overrightarrow {TP}$$, find the equation of the line (express the result in slope-intercept form).",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\pm \\frac{2\\sqrt{3}}{3}x - \\frac{1}{4}",
"style": "rule"
}
|
{
"index": 8015,
"need_tools_kwargs": true,
"question": "In the xy-plane of the Cartesian coordinate system, there are points O(0,0) and A(0,1). A moving point M(x,y) has a projection point N on the x-axis, and the following relationship holds: $$\\overrightarrow {MA}\\cdot \\overrightarrow {MO}= \\overrightarrow {MO}\\cdot \\overrightarrow {MN}$$.\n(1) Find the trajectory equation of the moving point M;\n(2) A line passing through the point $$T(0,-\\frac{1}{4})$$ intersects the trajectory of point M at points P and Q. If $$\\overrightarrow {TQ}=3 \\overrightarrow {TP}$$, find the equation of the line (express the result in slope-intercept form).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In $\\triangle ABC$, $AB=5$, $BC=7$, $AC=9$, and $D$ is on $\\overline{AC}$ with $BD=5$. Find the ratio of $AD:DC$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "19/8",
"style": "rule"
}
|
{
"index": 8016,
"need_tools_kwargs": true,
"question": "In $\\triangle ABC$, $AB=5$, $BC=7$, $AC=9$, and $D$ is on $\\overline{AC}$ with $BD=5$. Find the ratio of $AD:DC$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Justin David Swibel and Guillermo del Toro are both what?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "screenwriter",
"style": "rule"
}
|
{
"index": 8017,
"need_tools_kwargs": true,
"question": "Justin David Swibel and Guillermo del Toro are both what?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the nationality of the current holder of the PFA Players' Player of the Year award? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "French",
"style": "rule"
}
|
{
"index": 8018,
"need_tools_kwargs": true,
"question": "What is the nationality of the current holder of the PFA Players' Player of the Year award? ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Satya Harishchandra (1943 Film) die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "9 February 1977",
"style": "rule"
}
|
{
"index": 8019,
"need_tools_kwargs": true,
"question": "When did the director of film Satya Harishchandra (1943 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": "Given $a > 3$ and $a \\neq \\frac{7}{2}$, let proposition p be: the exponential function $f(x) = (2a-6)^x$ is monotonically decreasing on $\\mathbb{R}$, and let proposition q be: the equation $x^2 - 3ax + 2a^2 + 1 = 0$ has two real roots both greater than 3. If either p or q is true, but not both, find the range of the real number $a$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "a > \\frac{7}{2}",
"style": "rule"
}
|
{
"index": 8020,
"need_tools_kwargs": true,
"question": "Given $a > 3$ and $a \\neq \\frac{7}{2}$, let proposition p be: the exponential function $f(x) = (2a-6)^x$ is monotonically decreasing on $\\mathbb{R}$, and let proposition q be: the equation $x^2 - 3ax + 2a^2 + 1 = 0$ has two real roots both greater than 3. If either p or q is true, but not both, find the range of the real number $a$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who directed the 2012 romantic-comedy film Jeom Deok-su starred in?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Daniel Hsia",
"style": "rule"
}
|
{
"index": 8021,
"need_tools_kwargs": true,
"question": "Who directed the 2012 romantic-comedy film Jeom Deok-su 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": "Do both The Fighting Fool and Blood and Black Lace films have the directors from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 8022,
"need_tools_kwargs": true,
"question": "Do both The Fighting Fool and Blood and Black Lace 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": "Solve the equation\n\\[(x - 2)^5 + (x - 6)^5 = 32.\\]",
"role": "user"
}
] |
math
|
{
"ground_truth": "x_1, x_2, ..., x_n",
"style": "rule"
}
|
{
"index": 8023,
"need_tools_kwargs": true,
"question": "Solve the equation\n\\[(x - 2)^5 + (x - 6)^5 = 32.\\]",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 each cell of a $10 \\times 10$ table, a natural number is written. Then, each cell is painted if the number written in that cell is less than one of its neighbors but greater than another neighbor. (Two numbers are considered neighbors if they are in cells sharing a common side.) As a result, only two cells remain unpainted, and neither of these cells is in a corner. What is the minimum possible sum of the numbers in these two cells?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 8024,
"need_tools_kwargs": true,
"question": "In each cell of a $10 \\times 10$ table, a natural number is written. Then, each cell is painted if the number written in that cell is less than one of its neighbors but greater than another neighbor. (Two numbers are considered neighbors if they are in cells sharing a common side.) As a result, only two cells remain unpainted, and neither of these cells is in a corner. What is the minimum possible sum of the numbers in these two cells?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Christian denomination to which Frank Lloyd Wright's father originally belonged?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Baptist",
"style": "rule"
}
|
{
"index": 8025,
"need_tools_kwargs": true,
"question": "What was the Christian denomination to which Frank Lloyd Wright's father originally belonged?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Solve in prime numbers the equation \\( p^2 - 6pq + q^2 + 3q - 1 = 0 \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "(17, 3)",
"style": "rule"
}
|
{
"index": 8026,
"need_tools_kwargs": true,
"question": "Solve in prime numbers the equation \\( p^2 - 6pq + q^2 + 3q - 1 = 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": "In a chess tournament, each of the 10 players played one game against each other, and Petya took the last place (scored fewer points than any other participant). Then two players were disqualified, and all the points earned in the matches against them were canceled, and these two players were excluded from the table. As a result, Petya became the winner of the tournament (scored more points than any other participant). How many points could Petya score in the end (after the disqualification of the players)? A win gives 1 point, a draw gives 0.5 points, and a loss gives 0 points.",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"index": 8027,
"need_tools_kwargs": true,
"question": "In a chess tournament, each of the 10 players played one game against each other, and Petya took the last place (scored fewer points than any other participant). Then two players were disqualified, and all the points earned in the matches against them were canceled, and these two players were excluded from the table. As a result, Petya became the winner of the tournament (scored more points than any other participant). How many points could Petya score in the end (after the disqualification of the players)? A win gives 1 point, a draw gives 0.5 points, and a loss gives 0 points.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Find the smallest real number $A$ such that there exist two different triangles with integer side lengths, and each triangle has an area of $A$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "12",
"style": "rule"
}
|
{
"index": 8028,
"need_tools_kwargs": true,
"question": "Find the smallest real number $A$ such that there exist two different triangles with integer side lengths, and each triangle has an area of $A$.",
"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": "Do both films Viaje Sin Regreso and Hellraiser: Inferno have the directors that share the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 8029,
"need_tools_kwargs": true,
"question": "Do both films Viaje Sin Regreso and Hellraiser: Inferno have the directors that 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": "There are 120,000 red squirrels living in Scotland. This represents 75% of their total UK population. How many more red squirrels live in Scotland than live in the remainder of the UK? \n\nA) 30,000 \nB) 40,000 \nC) 60,000 \nD) 80,000 \nE) 90,000",
"role": "user"
}
] |
math
|
{
"ground_truth": "80,000",
"style": "rule"
}
|
{
"index": 8030,
"need_tools_kwargs": true,
"question": "There are 120,000 red squirrels living in Scotland. This represents 75% of their total UK population. How many more red squirrels live in Scotland than live in the remainder of the UK? \n\nA) 30,000 \nB) 40,000 \nC) 60,000 \nD) 80,000 \nE) 90,000",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 store normally sells windows at $100$ each. This week the store is offering one free window for each purchase of four. Dave needs seven windows and Doug needs eight windows. How much will they save if they purchase the windows together rather than separately?",
"role": "user"
}
] |
math
|
{
"ground_truth": "100",
"style": "rule"
}
|
{
"index": 8031,
"need_tools_kwargs": true,
"question": "A store normally sells windows at $100$ each. This week the store is offering one free window for each purchase of four. Dave needs seven windows and Doug needs eight windows. How much will they save if they purchase the windows together rather than separately?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 monarch during the time appointment of the 1st Kings Dragoon Guard?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "James II and VII (14 October 1633 – 16 September 1701)",
"style": "rule"
}
|
{
"index": 8032,
"need_tools_kwargs": true,
"question": "Who was the monarch during the time appointment of the 1st Kings Dragoon Guard?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 draft held in which Chukwudiebere Maduabum was drafted?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Prudential Center in Newark, New Jersey",
"style": "rule"
}
|
{
"index": 8033,
"need_tools_kwargs": true,
"question": "Where was the draft held in which Chukwudiebere Maduabum was drafted?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Kevin Billington's wife?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "British",
"style": "rule"
}
|
{
"index": 8034,
"need_tools_kwargs": true,
"question": "What nationality is Kevin Billington's wife?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "For a plane \\(\\alpha\\), if the distance from each vertex of a polyhedron to plane \\(\\alpha\\) is equal, then plane \\(\\alpha\\) is called the \"median plane\" of the polyhedron.\n(1) How many distinct median planes does a tetrahedron have?\n(2) How many distinct median planes does a parallelepiped have?\n(3) Given four non-coplanar points in a three-dimensional space as the vertices (among the vertices) of a parallelepiped, how many distinct parallelepipeds can be formed in total?\nPlease provide the answers for each sub-question and explain the reasons.",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 8035,
"need_tools_kwargs": true,
"question": "For a plane \\(\\alpha\\), if the distance from each vertex of a polyhedron to plane \\(\\alpha\\) is equal, then plane \\(\\alpha\\) is called the \"median plane\" of the polyhedron.\n(1) How many distinct median planes does a tetrahedron have?\n(2) How many distinct median planes does a parallelepiped have?\n(3) Given four non-coplanar points in a three-dimensional space as the vertices (among the vertices) of a parallelepiped, how many distinct parallelepipeds can be formed in total?\nPlease provide the answers for each sub-question and explain the reasons.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "James Hillier had a role in Seasons 1 and 2 of the Netflix series created and written by whom?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Peter Morgan",
"style": "rule"
}
|
{
"index": 8036,
"need_tools_kwargs": true,
"question": "James Hillier had a role in Seasons 1 and 2 of the Netflix series created and written by whom?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of birth of the performer of song Iconic (Song)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "August 16, 1958",
"style": "rule"
}
|
{
"index": 8037,
"need_tools_kwargs": true,
"question": "What is the date of birth of the performer of song Iconic (Song)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When was the performer of song White Summer born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "9 January 1944",
"style": "rule"
}
|
{
"index": 8038,
"need_tools_kwargs": true,
"question": "When was the performer of song White Summer born?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What nationality is the director of film Gunfighter'S Moon?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American",
"style": "rule"
}
|
{
"index": 8039,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Gunfighter'S Moon?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 which date, month, and year did the BBC publish an apology on their website for previously publishing inaccurate statements about Tunisian politician Rached Ghannouchi six months earlier on 21 November 2012?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "17 May 2013",
"style": "rule"
}
|
{
"index": 8040,
"need_tools_kwargs": true,
"question": "On which date, month, and year did the BBC publish an apology on their website for previously publishing inaccurate statements about Tunisian politician Rached Ghannouchi six months earlier on 21 November 2012?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 positive integer divisors of 216, except 1, are arranged around a circle so that every pair of adjacent integers has a common factor greater than 1. What is the sum of the two integers adjacent to 9?",
"role": "user"
}
] |
math
|
{
"ground_truth": "30",
"style": "rule"
}
|
{
"index": 8041,
"need_tools_kwargs": true,
"question": "The positive integer divisors of 216, except 1, are arranged around a circle so that every pair of adjacent integers has a common factor greater than 1. What is the sum of the two integers adjacent to 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": "Do both films: Living Wigan and The Miracle (1913 Film) have the directors from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 8042,
"need_tools_kwargs": true,
"question": "Do both films: Living Wigan and The Miracle (1913 Film) 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": "Olivia Newton-John has how many more Grammy wins than the number of performers in the Main Event Tour?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "One",
"style": "rule"
}
|
{
"index": 8043,
"need_tools_kwargs": true,
"question": "Olivia Newton-John has how many more Grammy wins than the number of performers in the Main Event Tour?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "将 8 个半径为 2 的球分两层放置于一个圆柱形容器中，使得每个球和与其相邻四个球均相切，且与圆柱的一个底面和侧面都相切。圆柱的高为 k\\sqrt[4]{m}+n，请给出k+m+n的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "14",
"style": "rule"
}
|
{
"index": 8044,
"need_tools_kwargs": true,
"question": "将 8 个半径为 2 的球分两层放置于一个圆柱形容器中，使得每个球和与其相邻四个球均相切，且与圆柱的一个底面和侧面都相切。圆柱的高为 k\\sqrt[4]{m}+n，请给出k+m+n的值。",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Good Girl Gone Bad Live also included songs for her 2006 album that was released in what month?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "April",
"style": "rule"
}
|
{
"index": 8045,
"need_tools_kwargs": true,
"question": "Good Girl Gone Bad Live also included songs for her 2006 album that was released in what month?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 other name for a huge area of heavy fighting across Europe with the Soviet Union having occupied and annexed several countries effectively handed over by Nazi Germany?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Second European War",
"style": "rule"
}
|
{
"index": 8046,
"need_tools_kwargs": true,
"question": "What is the other name for a huge area of heavy fighting across Europe with the Soviet Union having occupied and annexed several countries effectively handed over by Nazi Germany?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Bottle Shock starred which American actor who played Capt. Kirk in the Star Trek reboot?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Christopher Whitelaw Pine",
"style": "rule"
}
|
{
"index": 8047,
"need_tools_kwargs": true,
"question": "Bottle Shock starred which American actor who played Capt. Kirk in the Star Trek reboot?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Find all functions \\( f(x) \\) such that \\( f(2x + 1) = 4x^2 + 14x + 7 \\). \n\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "x^2 + 5x + 1",
"style": "rule"
}
|
{
"index": 8048,
"need_tools_kwargs": true,
"question": "Find all functions \\( f(x) \\) such that \\( f(2x + 1) = 4x^2 + 14x + 7 \\). \n\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": "Find all integer-valued polynomials $$ f, g : \\mathbb{N} \\rightarrow \\mathbb{N} \\text{ such that} \\; \\forall \\; x \\in \\mathbb{N}, \\tau (f(x)) = g(x) $$ holds for all positive integer $x$ , where $\\tau (x)$ is the number of positive factors of $x$ *Proposed By - ckliao914*",
"role": "user"
}
] |
math
|
{
"ground_truth": " (f, g) = (k, \\tau(k)) ",
"style": "rule"
}
|
{
"index": 8049,
"need_tools_kwargs": true,
"question": "Find all integer-valued polynomials $$ f, g : \\mathbb{N} \\rightarrow \\mathbb{N} \\text{ such that} \\; \\forall \\; x \\in \\mathbb{N}, \\tau (f(x)) = g(x) $$ holds for all positive integer $x$ , where $\\tau (x)$ is the number of positive factors of $x$ *Proposed By - ckliao914*",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Gilberto Meireles Ferreira plays for a team competing in which league ?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Liga de Elite",
"style": "rule"
}
|
{
"index": 8050,
"need_tools_kwargs": true,
"question": "Gilberto Meireles Ferreira plays for a team competing in which league ?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 has rectangular coordinates $(x,y,z)$ and spherical coordinates $\\left(2, \\frac{8 \\pi}{7}, \\frac{2 \\pi}{9} \\right).$ Find the spherical coordinates of the point with rectangular coordinates $(x,y,-z).$ Enter your answer in the form $(\\rho,\\theta,\\phi),$ where $\\rho > 0,$ $0 \\le \\theta < 2 \\pi,$ and $0 \\le \\phi \\le \\pi.$",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\left( 2, \\frac{8 \\pi}{7}, \\frac{7 \\pi}{9} \\right)",
"style": "rule"
}
|
{
"index": 8051,
"need_tools_kwargs": true,
"question": "A point has rectangular coordinates $(x,y,z)$ and spherical coordinates $\\left(2, \\frac{8 \\pi}{7}, \\frac{2 \\pi}{9} \\right).$ Find the spherical coordinates of the point with rectangular coordinates $(x,y,-z).$ Enter your answer in the form $(\\rho,\\theta,\\phi),$ where $\\rho > 0,$ $0 \\le \\theta < 2 \\pi,$ and $0 \\le \\phi \\le \\pi.$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A tourist was returning from vacation by bicycle. On the first section of the route, which was 246 km, he traveled an average of 15 km less per day than on the last section of the route, which was 276 km. He arrived home exactly on the last day of his vacation. It is also known that it took him one more day than half the number of days left from that point until the end of the vacation to complete the first section. How many days before the end of his vacation did the tourist start his journey home?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"index": 8052,
"need_tools_kwargs": true,
"question": "A tourist was returning from vacation by bicycle. On the first section of the route, which was 246 km, he traveled an average of 15 km less per day than on the last section of the route, which was 276 km. He arrived home exactly on the last day of his vacation. It is also known that it took him one more day than half the number of days left from that point until the end of the vacation to complete the first section. How many days before the end of his vacation did the tourist start his journey home?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Master Kilby (Roud 1434) is a traditional English folk song, it was collected by Maud Karpeles, and which person, who was the founding father of the folk-song revival in England in the early 20th century?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Cecil James Sharp",
"style": "rule"
}
|
{
"index": 8053,
"need_tools_kwargs": true,
"question": "Master Kilby (Roud 1434) is a traditional English folk song, it was collected by Maud Karpeles, and which person, who was the founding father of the folk-song revival in England in the early 20th century?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Míša cut out two identical squares, one rectangle measuring $10 \\mathrm{~cm} \\times 24 \\mathrm{~cm}$, and one more rectangle from paper. What dimensions could this additional rectangle have if it was possible to assemble a square from all four shapes without any overlap? There are several possible rectangles; list at least four.",
"role": "user"
}
] |
math
|
{
"ground_truth": "24\\times38",
"style": "rule"
}
|
{
"index": 8054,
"need_tools_kwargs": true,
"question": "Míša cut out two identical squares, one rectangle measuring $10 \\mathrm{~cm} \\times 24 \\mathrm{~cm}$, and one more rectangle from paper. What dimensions could this additional rectangle have if it was possible to assemble a square from all four shapes without any overlap? There are several possible rectangles; list at least four.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Seventh Date of Blashyrkh is black metal band, and which black metal band from Bergen, Norway, founded in 1991 by frontman and bassist Abbath Doom Occulta (Olve Eikemo), first live DVD?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Immortal",
"style": "rule"
}
|
{
"index": 8055,
"need_tools_kwargs": true,
"question": "The Seventh Date of Blashyrkh is black metal band, and which black metal band from Bergen, Norway, founded in 1991 by frontman and bassist Abbath Doom Occulta (Olve Eikemo), first live DVD?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Find all pairs of prime numbers $(p, q)$ such that for each pair $(p, q)$, there is a positive integer $m$ satisfying\n$\\frac{pq}{p + q} = \\frac{m^2 + 6}{m + 1}$. The original answer is in the form $(p, q)$, please give the value of $p + q$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "14",
"style": "rule"
}
|
{
"index": 8056,
"need_tools_kwargs": true,
"question": "Find all pairs of prime numbers $(p, q)$ such that for each pair $(p, q)$, there is a positive integer $m$ satisfying\n$\\frac{pq}{p + q} = \\frac{m^2 + 6}{m + 1}$. The original answer is in the form $(p, q)$, please give the value of $p + q$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Three circles with radii 1, 2, and 3 touch each other externally at three points. Find the radius of the circle passing through these three points.",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"index": 8057,
"need_tools_kwargs": true,
"question": "Three circles with radii 1, 2, and 3 touch each other externally at three points. Find the radius of the circle passing through these three points.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "UPA was an animation studio that created the 1962 film musical that gave who her only animated film voice role?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Judy Garland",
"style": "rule"
}
|
{
"index": 8058,
"need_tools_kwargs": true,
"question": "UPA was an animation studio that created the 1962 film musical that gave who her only animated film voice role?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Problems $8, 9$ and $10$ use the data found in the accompanying paragraph and figures \n \nFour friends, Art, Roger, Paul and Trisha, bake cookies, and all cookies have the same thickness. The shapes of the cookies differ, as shown. \n \n$\\circ$ Art's cookies are trapezoids: \n \n$\\circ$ Roger's cookies are rectangles: \n \n$\\circ$ Paul's cookies are parallelograms: \n \n$\\circ$ Trisha's cookies are triangles: \n\nEach friend uses the same amount of dough, and Art makes exactly $12$ cookies. Art's cookies sell for $60$ cents each. To earn the same amount from a single batch, how much should one of Roger's cookies cost in cents? Provide your answer as an integer.",
"role": "user"
}
] |
math
|
{
"ground_truth": "40",
"style": "rule"
}
|
{
"index": 8059,
"need_tools_kwargs": true,
"question": "Problems $8, 9$ and $10$ use the data found in the accompanying paragraph and figures \n \nFour friends, Art, Roger, Paul and Trisha, bake cookies, and all cookies have the same thickness. The shapes of the cookies differ, as shown. \n \n$\\circ$ Art's cookies are trapezoids: \n \n$\\circ$ Roger's cookies are rectangles: \n \n$\\circ$ Paul's cookies are parallelograms: \n \n$\\circ$ Trisha's cookies are triangles: \n\nEach friend uses the same amount of dough, and Art makes exactly $12$ cookies. Art's cookies sell for $60$ cents each. To earn the same amount from a single batch, how much should one of Roger's cookies cost in cents? Provide your answer as an integer.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 has the highest scope of work in Philip José Farmer or Francis Ponge ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Francis Jean Gaston Alfred Ponge",
"style": "rule"
}
|
{
"index": 8060,
"need_tools_kwargs": true,
"question": "Who has the highest scope of work in Philip José Farmer or Francis Ponge ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 The Fountain (1934 Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American",
"style": "rule"
}
|
{
"index": 8061,
"need_tools_kwargs": true,
"question": "What nationality is the director of film The Fountain (1934 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": "What was the title of the Oxventure episode that was recorded live at MCM London 2022 in which Dob was to get married to Katie Pearlhead?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Bride or Die",
"style": "rule"
}
|
{
"index": 8062,
"need_tools_kwargs": true,
"question": "What was the title of the Oxventure episode that was recorded live at MCM London 2022 in which Dob was to get married to Katie Pearlhead?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Peter has a lock with a three-digit code. He knows that all the digits of his code are different and that if he divides the second digit by the third and then squares his answer, he will get the first digit. What is the difference between the largest and smallest possible codes?",
"role": "user"
}
] |
math
|
{
"ground_truth": "541",
"style": "rule"
}
|
{
"index": 8063,
"need_tools_kwargs": true,
"question": "Peter has a lock with a three-digit code. He knows that all the digits of his code are different and that if he divides the second digit by the third and then squares his answer, he will get the first digit. What is the difference between the largest and smallest possible codes?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 torture technique did the successor of the Cheka agency use?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Tean zu",
"style": "rule"
}
|
{
"index": 8064,
"need_tools_kwargs": true,
"question": "What torture technique did the successor of the Cheka agency use?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "John Ratzenberger's \"Made in America\" has visited a variety of factories, including a company that since 1984 has been a wholly owned subsidiary of who?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Hallmark Cards",
"style": "rule"
}
|
{
"index": 8065,
"need_tools_kwargs": true,
"question": "John Ratzenberger's \"Made in America\" has visited a variety of factories, including a company that since 1984 has been a wholly owned subsidiary of who?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 game version was The Dota 2 International 2019 played on?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "7.22f",
"style": "rule"
}
|
{
"index": 8066,
"need_tools_kwargs": true,
"question": "What game version was The Dota 2 International 2019 played on?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let \\(n\\) (\\(n \\ge 1\\)) be an integer. Consider the equation\n\n\\[2\\cdot \\lfloor{\\frac{1}{2x}}\\rfloor - n + 1 = (n + 1)(1 - nx),\\]\n\nwhere \\(x\\) is the unknown real variable.\n\n(a) Solve the equation for \\(n = 8\\). The original answer for this part is in the form of two fractions: \\(\\frac{k}{m}\\) and \\(\\frac{n}{p}\\). Please provide the value of \\(k + m + n + p\\).\n\n(b) Prove that there exists an integer \\(n\\) for which the equation has at least 2021 solutions.\n\n(For any real number \\(y\\) by \\(\\lfloor{y} \\rfloor\\) we denote the largest integer \\(m\\) such that \\(m \\le y\\).)",
"role": "user"
}
] |
math
|
{
"ground_truth": "51",
"style": "rule"
}
|
{
"index": 8067,
"need_tools_kwargs": true,
"question": "Let \\(n\\) (\\(n \\ge 1\\)) be an integer. Consider the equation\n\n\\[2\\cdot \\lfloor{\\frac{1}{2x}}\\rfloor - n + 1 = (n + 1)(1 - nx),\\]\n\nwhere \\(x\\) is the unknown real variable.\n\n(a) Solve the equation for \\(n = 8\\). The original answer for this part is in the form of two fractions: \\(\\frac{k}{m}\\) and \\(\\frac{n}{p}\\). Please provide the value of \\(k + m + n + p\\).\n\n(b) Prove that there exists an integer \\(n\\) for which the equation has at least 2021 solutions.\n\n(For any real number \\(y\\) by \\(\\lfloor{y} \\rfloor\\) we denote the largest integer \\(m\\) such that \\(m \\le y\\).)",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 two arithmetic sequences $\\{a\\_n\\}$ and $\\{b\\_n\\}$ that satisfy $a\\_1=a (a > 0)$, $b\\_1 - a\\_1 = 1$, $b\\_2 - a\\_2 = 2$, $b\\_3 - a\\_3 = 3$, if sequence $\\{a\\_n\\}$ is unique, then $a=$ _____ .",
"role": "user"
}
] |
math
|
{
"ground_truth": "a = \\frac{1}{3}",
"style": "rule"
}
|
{
"index": 8068,
"need_tools_kwargs": true,
"question": "Given two arithmetic sequences $\\{a\\_n\\}$ and $\\{b\\_n\\}$ that satisfy $a\\_1=a (a > 0)$, $b\\_1 - a\\_1 = 1$, $b\\_2 - a\\_2 = 2$, $b\\_3 - a\\_3 = 3$, if sequence $\\{a\\_n\\}$ is unique, then $a=$ _____ .",
"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": "The side lengths in centimeters of each of the two squares are integers. If the smaller square had $2001 \\mathrm{~cm}^{2}$ more area, the two squares would be equal. What can be the side length of the larger square?",
"role": "user"
}
] |
math
|
{
"ground_truth": "49, 55, 335, 1001",
"style": "rule"
}
|
{
"index": 8069,
"need_tools_kwargs": true,
"question": "The side lengths in centimeters of each of the two squares are integers. If the smaller square had $2001 \\mathrm{~cm}^{2}$ more area, the two squares would be equal. What can be the side length of the larger 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": "Suppose a single bench at the community park can either accommodate 8 adults or 12 children. When M such benches are aligned together, they are to be fully occupied by an equal number of adults and children together. Determine the minimum number of benches that must be utilized to achieve this equal occupancy.",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 8070,
"need_tools_kwargs": true,
"question": "Suppose a single bench at the community park can either accommodate 8 adults or 12 children. When M such benches are aligned together, they are to be fully occupied by an equal number of adults and children together. Determine the minimum number of benches that must be utilized to achieve this equal occupancy.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 trapezoid $EFGH$, sides $\\overline{EF}$ and $\\overline{GH}$ are parallel, $\\angle E = 3\\angle H$, and $\\angle G = 2\\angle F$. Determine the measure of $\\angle E$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\angle E = 135^\\circ",
"style": "rule"
}
|
{
"index": 8071,
"need_tools_kwargs": true,
"question": "In trapezoid $EFGH$, sides $\\overline{EF}$ and $\\overline{GH}$ are parallel, $\\angle E = 3\\angle H$, and $\\angle G = 2\\angle F$. Determine the measure of $\\angle E$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Mr. Smith has incurred the following finance charges because he was not able to pay on time for his balances: \n\n1. A 2% finance charge for an unpaid balance worth $150.\n2. A 3.5% finance charge for another unpaid balance worth $220.\n3. A 1.5% finance charge for a third unpaid balance worth $75.\n\nIf he plans to settle all his balances today, how much will Mr. Smith pay in total, including the finance charges?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\$456.83",
"style": "rule"
}
|
{
"index": 8072,
"need_tools_kwargs": true,
"question": "Mr. Smith has incurred the following finance charges because he was not able to pay on time for his balances: \n\n1. A 2% finance charge for an unpaid balance worth $150.\n2. A 3.5% finance charge for another unpaid balance worth $220.\n3. A 1.5% finance charge for a third unpaid balance worth $75.\n\nIf he plans to settle all his balances today, how much will Mr. Smith pay in total, including the finance charges?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In a certain year, a specific date was never a Sunday in any month. Determine this date.",
"role": "user"
}
] |
math
|
{
"ground_truth": "31",
"style": "rule"
}
|
{
"index": 8073,
"need_tools_kwargs": true,
"question": "In a certain year, a specific date was never a Sunday in any month. Determine this date.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "James hurts himself and decides to go to his primary care doctor. His primary care doctor charges a certain amount for the visit and James's insurance covers 80%. James's out-of-pocket cost is $60. What is the total cost of the visit?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\$300",
"style": "rule"
}
|
{
"index": 8074,
"need_tools_kwargs": true,
"question": "James hurts himself and decides to go to his primary care doctor. His primary care doctor charges a certain amount for the visit and James's insurance covers 80%. James's out-of-pocket cost is $60. What is the total cost of the visit?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 award that the director of film Atlantis (1991 Film) earned?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "César Award for Best Director",
"style": "rule"
}
|
{
"index": 8075,
"need_tools_kwargs": true,
"question": "What is the award that the director of film Atlantis (1991 Film) earned?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Invincible Shaolin?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "22 June 2002",
"style": "rule"
}
|
{
"index": 8076,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film Invincible Shaolin?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 a set of integers $\\{1, 2, 3, \\ldots, 12\\}$, eight distinct integers are chosen at random. What is the probability that, among those selected, the third smallest number is $4$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{56}{165}",
"style": "rule"
}
|
{
"index": 8077,
"need_tools_kwargs": true,
"question": "From a set of integers $\\{1, 2, 3, \\ldots, 12\\}$, eight distinct integers are chosen at random. What is the probability that, among those selected, the third smallest number is $4$?",
"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": "Consider quadrilateral \\( ABCD \\) where \\( O \\) is the intersection point of the diagonals \\( AC \\) and \\( BD \\). Given that \\( \\angle BAD + \\angle ACB = 180^\\circ \\), and the lengths of the sides are \\( BC = 3 \\), \\( AD = 4 \\), \\( AC = 5 \\), and \\( AB = 6 \\). Determine the ratio \\( \\frac{DO}{OB} \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{10}{9}",
"style": "rule"
}
|
{
"index": 8078,
"need_tools_kwargs": true,
"question": "Consider quadrilateral \\( ABCD \\) where \\( O \\) is the intersection point of the diagonals \\( AC \\) and \\( BD \\). Given that \\( \\angle BAD + \\angle ACB = 180^\\circ \\), and the lengths of the sides are \\( BC = 3 \\), \\( AD = 4 \\), \\( AC = 5 \\), and \\( AB = 6 \\). Determine the ratio \\( \\frac{DO}{OB} \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A circle constructed with side \\( AC \\) of triangle \\( ABC \\) as its diameter passes through the midpoint of side \\( BC \\) and intersects side \\( AB \\) at point \\( D \\) such that \\( AD = \\frac{1}{3} AB \\). Find the area of triangle \\( ABC \\), given that \\( AC = 1 \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{\\sqrt{2}}{3}",
"style": "rule"
}
|
{
"index": 8079,
"need_tools_kwargs": true,
"question": "A circle constructed with side \\( AC \\) of triangle \\( ABC \\) as its diameter passes through the midpoint of side \\( BC \\) and intersects side \\( AB \\) at point \\( D \\) such that \\( AD = \\frac{1}{3} AB \\). Find the area of triangle \\( ABC \\), given that \\( AC = 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": "Point $(x,y)$ is randomly selected from the rectangular region with vertices at $(0,0)$, $(3020,0)$, $(3020,3010)$, and $(0,3010)$. What is the probability that $x > 3y$? Express your answer as a common fraction.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{1007}{6020}",
"style": "rule"
}
|
{
"index": 8080,
"need_tools_kwargs": true,
"question": "Point $(x,y)$ is randomly selected from the rectangular region with vertices at $(0,0)$, $(3020,0)$, $(3020,3010)$, and $(0,3010)$. What is the probability that $x > 3y$? 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": "The Millionaires' Unit is a documentary that was narrated by which actor?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Bruce MacLeish Dern",
"style": "rule"
}
|
{
"index": 8081,
"need_tools_kwargs": true,
"question": "The Millionaires' Unit is a documentary that was narrated by which actor?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When did the director of film The Little Buckaroo die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "September 7, 1962",
"style": "rule"
}
|
{
"index": 8082,
"need_tools_kwargs": true,
"question": "When did the director of film The Little Buckaroo 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 global cryptocurrency exchange, reported by both TechCrunch and CNBC as the largest of its kind within 180 days of its June 2017 launch, withdrew a multi-billion dollar equivalent in assets from FTX and is still operational despite its CEO agreeing to step down following legal challenges?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Binance",
"style": "rule"
}
|
{
"index": 8083,
"need_tools_kwargs": true,
"question": "Which global cryptocurrency exchange, reported by both TechCrunch and CNBC as the largest of its kind within 180 days of its June 2017 launch, withdrew a multi-billion dollar equivalent in assets from FTX and is still operational despite its CEO agreeing to step down following legal challenges?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where did the director of film Satellite In The Sky graduate from?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Wesleyan University",
"style": "rule"
}
|
{
"index": 8084,
"need_tools_kwargs": true,
"question": "Where did the director of film Satellite In The Sky graduate from?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Find the product of two approximate numbers: $0.3862 \\times 0.85$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "0.33",
"style": "rule"
}
|
{
"index": 8085,
"need_tools_kwargs": true,
"question": "Find the product of two approximate numbers: $0.3862 \\times 0.85$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 high school math preparation group consists of six science teachers and two liberal arts teachers. During a three-day period of smog-related class suspensions, they need to arrange teachers to be on duty for question-answering sessions. The requirement is that each day, there must be one liberal arts teacher and two science teachers on duty. Each teacher should be on duty for at least one day and at most two days. How many different arrangements are possible?",
"role": "user"
}
] |
math
|
{
"ground_truth": "540",
"style": "rule"
}
|
{
"index": 8086,
"need_tools_kwargs": true,
"question": "A high school math preparation group consists of six science teachers and two liberal arts teachers. During a three-day period of smog-related class suspensions, they need to arrange teachers to be on duty for question-answering sessions. The requirement is that each day, there must be one liberal arts teacher and two science teachers on duty. Each teacher should be on duty for at least one day and at most two days. How many different arrangements are possible?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 an isosceles right triangle \\( ABC \\) with \\( \\angle C = 90^\\circ \\) and \\( AB = 2 \\), points \\( D, E, \\) and \\( F \\) are positioned outside triangle \\( ABC \\) such that triangles \\( DBC, AEC, \\) and \\( ABF \\) are also isosceles right triangles with hypotenuses \\( BC, AC, \\) and \\( AB \\) respectively. Calculate the area of triangle \\( DEF \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 8087,
"need_tools_kwargs": true,
"question": "Given an isosceles right triangle \\( ABC \\) with \\( \\angle C = 90^\\circ \\) and \\( AB = 2 \\), points \\( D, E, \\) and \\( F \\) are positioned outside triangle \\( ABC \\) such that triangles \\( DBC, AEC, \\) and \\( ABF \\) are also isosceles right triangles with hypotenuses \\( BC, AC, \\) and \\( AB \\) respectively. Calculate the area of triangle \\( DEF \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Non-Stop starred the English actress best known for what role in Downton Abbey?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Lady Mary Crawley",
"style": "rule"
}
|
{
"index": 8088,
"need_tools_kwargs": true,
"question": "Non-Stop starred the English actress best known for what role in Downton Abbey?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 function $f$ is defined by $f(z) = (4 + i) z^2 + \\alpha z + \\gamma$ for all complex numbers $z$, where $\\alpha$ and $\\gamma$ are complex numbers and $i^2 = - 1$. Suppose that $f(1)$ and $f(i)$ are both real. What is the smallest possible value of $| \\alpha | + |\\gamma |$?The answer is in the form k\\sqrt{m}+n,. Please provide the value of k + m + n.",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 8089,
"need_tools_kwargs": true,
"question": "A function $f$ is defined by $f(z) = (4 + i) z^2 + \\alpha z + \\gamma$ for all complex numbers $z$, where $\\alpha$ and $\\gamma$ are complex numbers and $i^2 = - 1$. Suppose that $f(1)$ and $f(i)$ are both real. What is the smallest possible value of $| \\alpha | + |\\gamma |$?The answer is in the form k\\sqrt{m}+n,. Please provide the value of k + m + n.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Are Vice Versa (1948 Film) and Trollhunter both from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 8090,
"need_tools_kwargs": true,
"question": "Are Vice Versa (1948 Film) and Trollhunter 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": "Where did the director of film Ivy (1947 Film) die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Hollywood",
"style": "rule"
}
|
{
"index": 8091,
"need_tools_kwargs": true,
"question": "Where did the director of film Ivy (1947 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": "A sequence $a_1,$ $a_2,$ $a_3,$ $\\dots,$ is defined recursively by $a_1 = 1,$ $a_2 = 1,$ and for $k \\ge 3,$\n\\[a_k = \\frac{1}{3} a_{k - 1} + \\frac{1}{4} a_{k - 2}.\\]Evaluate $a_1 + a_2 + a_3 + \\dotsb.$",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"index": 8092,
"need_tools_kwargs": true,
"question": "A sequence $a_1,$ $a_2,$ $a_3,$ $\\dots,$ is defined recursively by $a_1 = 1,$ $a_2 = 1,$ and for $k \\ge 3,$\n\\[a_k = \\frac{1}{3} a_{k - 1} + \\frac{1}{4} a_{k - 2}.\\]Evaluate $a_1 + a_2 + a_3 + \\dotsb.$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 in the rectangular coordinate system $(xOy)$, the origin is the pole and the positive semi-axis of $x$ is the polar axis to establish a polar coordinate system, the polar coordinate equation of the conic section $(C)$ is $p^{2}= \\frac {12}{3+\\sin ^{2}\\theta }$, the fixed point $A(0,- \\sqrt {3})$, $F\\_{1}$, $F\\_{2}$ are the left and right foci of the conic section $(C)$, and the line $l$ passes through point $F\\_{1}$ and is parallel to the line $AF\\_{2}$.\n(I) Find the rectangular coordinate equation of conic section $(C)$ and the parametric equation of line $l$;\n(II) If line $l$ intersects conic section $(C)$ at points $M$ and $N$, find $|F\\_{1}M|⋅|F\\_{1}N|$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac {12}{5}",
"style": "rule"
}
|
{
"index": 8093,
"need_tools_kwargs": true,
"question": "Given that in the rectangular coordinate system $(xOy)$, the origin is the pole and the positive semi-axis of $x$ is the polar axis to establish a polar coordinate system, the polar coordinate equation of the conic section $(C)$ is $p^{2}= \\frac {12}{3+\\sin ^{2}\\theta }$, the fixed point $A(0,- \\sqrt {3})$, $F\\_{1}$, $F\\_{2}$ are the left and right foci of the conic section $(C)$, and the line $l$ passes through point $F\\_{1}$ and is parallel to the line $AF\\_{2}$.\n(I) Find the rectangular coordinate equation of conic section $(C)$ and the parametric equation of line $l$;\n(II) If line $l$ intersects conic section $(C)$ at points $M$ and $N$, find $|F\\_{1}M|⋅|F\\_{1}N|$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Angry Dad: The Movie aired on February 20, 2011 during the twenty-second season, but was first introduced on what epsiode of the thirteenth season?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "eighteenth",
"style": "rule"
}
|
{
"index": 8094,
"need_tools_kwargs": true,
"question": "Angry Dad: The Movie aired on February 20, 2011 during the twenty-second season, but was first introduced on what epsiode of the thirteenth season?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "I have a rectangular area with dimensions $a$ and $b$ (in units), where $a$ and $b$ are both integers greater than two. I need to place this area within a larger rectangular boundary of dimensions $(3a + 4)$ and $(b+3)$. If the area of the boundary is measured to be $65$ square units, what is the area of the inner rectangle?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 8095,
"need_tools_kwargs": true,
"question": "I have a rectangular area with dimensions $a$ and $b$ (in units), where $a$ and $b$ are both integers greater than two. I need to place this area within a larger rectangular boundary of dimensions $(3a + 4)$ and $(b+3)$. If the area of the boundary is measured to be $65$ square units, what is the area of the inner rectangle?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 sets \\( A \\) and \\( B \\) are subsets of the universal set \\( U = \\{1, 2, 3, 4\\} \\), and the following conditions are satisfied:\n- \\( \\left.\\complement_{U} A\\right) \\cap B = \\{1\\} \\)\n- \\( A \\cap B = \\{3\\} \\)\n- \\( \\left(\\complement_{U} A\\right) \\cap \\left(\\complement_{U} B\\right) = \\{2\\} \\)\n\nFind \\( \\complement_{U}(A \\cup B) \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\{2\\}",
"style": "rule"
}
|
{
"index": 8096,
"need_tools_kwargs": true,
"question": "Given that sets \\( A \\) and \\( B \\) are subsets of the universal set \\( U = \\{1, 2, 3, 4\\} \\), and the following conditions are satisfied:\n- \\( \\left.\\complement_{U} A\\right) \\cap B = \\{1\\} \\)\n- \\( A \\cap B = \\{3\\} \\)\n- \\( \\left(\\complement_{U} A\\right) \\cap \\left(\\complement_{U} B\\right) = \\{2\\} \\)\n\nFind \\( \\complement_{U}(A \\cup B) \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "求最小的实数C>1，满足如下条件：对任意整数n\\geq 2和满足\\(\\frac{1}{a_1}+\\frac{1}{a_2}+\\cdots+\\frac{1}{a_n}=1\\)的非整正实数\\(a_1, a_2, \\cdots, a_n\\)，都可以找到正整数\\(b_i\\)，使得(1) 对1\\leq i\\leq n，\\(b_i=[a_i]\\)或\\([a_i]+1\\)；(2) \\(1<\\frac{1}{b_1}+\\frac{1}{b_2}+\\cdots+\\frac{1}{b_n}\\leq C\\)。原始答案是以\\(\\frac{k}{m}\\)的形式给出，请给出k+m的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
|
{
"index": 8097,
"need_tools_kwargs": true,
"question": "求最小的实数C>1，满足如下条件：对任意整数n\\geq 2和满足\\(\\frac{1}{a_1}+\\frac{1}{a_2}+\\cdots+\\frac{1}{a_n}=1\\)的非整正实数\\(a_1, a_2, \\cdots, a_n\\)，都可以找到正整数\\(b_i\\)，使得(1) 对1\\leq i\\leq n，\\(b_i=[a_i]\\)或\\([a_i]+1\\)；(2) \\(1<\\frac{1}{b_1}+\\frac{1}{b_2}+\\cdots+\\frac{1}{b_n}\\leq C\\)。原始答案是以\\(\\frac{k}{m}\\)的形式给出，请给出k+m的值。",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What band formed in London in 1973 included a former member of the Scottish group Silk?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Ultravox",
"style": "rule"
}
|
{
"index": 8098,
"need_tools_kwargs": true,
"question": "What band formed in London in 1973 included a former member of the Scottish group Silk?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 figure, $PA$ is tangent to semicircle $SAR$, $PB$ is tangent to semicircle $RBT$, and $SRT$ is a straight line. If arc $AS$ is $58^\\circ$ and arc $BT$ is $37^\\circ$, then find $\\angle APB$, in degrees.\n\n[asy]\nimport graph;\n\nunitsize(1.5 cm);\n\npair A, B, P, R, S, T;\npair[] O;\nreal[] r;\n\nr[1] = 1;\nr[2] = 0.8;\n\nS = (-2*r[1],0);\nO[1] = (-r[1],0);\nR = (0,0);\nO[2] = (r[2],0);\nT = (2*r[2],0);\nA = O[1] + dir(180 - 58)*r[1];\nB = O[2] + dir(37)*r[2];\nP = extension(A, A + rotate(90)*(A - O[1]), B, B + rotate(90)*(B - O[2]));\n\ndraw(S--T);\ndraw(arc(O[1],r[1],0,180));\ndraw(arc(O[2],r[2],0,180));\ndraw(A--P--B);\n\nlabel(\"$A$\", A, NW);\nlabel(\"$B$\", B, NE);\nlabel(\"$P$\", P, N);\nlabel(\"$R$\", R, dir(270));\nlabel(\"$S$\", S, SW);\nlabel(\"$T$\", T, SE);\n[/asy]",
"role": "user"
}
] |
math
|
{
"ground_truth": "95^\\circ",
"style": "rule"
}
|
{
"index": 8099,
"need_tools_kwargs": true,
"question": "In the figure, $PA$ is tangent to semicircle $SAR$, $PB$ is tangent to semicircle $RBT$, and $SRT$ is a straight line. If arc $AS$ is $58^\\circ$ and arc $BT$ is $37^\\circ$, then find $\\angle APB$, in degrees.\n\n[asy]\nimport graph;\n\nunitsize(1.5 cm);\n\npair A, B, P, R, S, T;\npair[] O;\nreal[] r;\n\nr[1] = 1;\nr[2] = 0.8;\n\nS = (-2*r[1],0);\nO[1] = (-r[1],0);\nR = (0,0);\nO[2] = (r[2],0);\nT = (2*r[2],0);\nA = O[1] + dir(180 - 58)*r[1];\nB = O[2] + dir(37)*r[2];\nP = extension(A, A + rotate(90)*(A - O[1]), B, B + rotate(90)*(B - O[2]));\n\ndraw(S--T);\ndraw(arc(O[1],r[1],0,180));\ndraw(arc(O[2],r[2],0,180));\ndraw(A--P--B);\n\nlabel(\"$A$\", A, NW);\nlabel(\"$B$\", B, NE);\nlabel(\"$P$\", P, N);\nlabel(\"$R$\", R, dir(270));\nlabel(\"$S$\", S, SW);\nlabel(\"$T$\", T, SE);\n[/asy]",
"split": "train"
}
| null |
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