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": "Masakatsu Ueda is a MMA fighter who is a blue belt under the martial artist who teaches which two disciplines?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "shoot wrestling and jiu-jitsu",
"style": "rule"
}
|
{
"index": 4100,
"need_tools_kwargs": true,
"question": "Masakatsu Ueda is a MMA fighter who is a blue belt under the martial artist who teaches which two disciplines?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 triangle \\( \\triangle ABC \\), the interior angles opposite to the sides \\( a, b, c \\) are \\( \\angle A, \\angle B, \\angle C \\) respectively. The exterior angle at vertex \\( A \\) of \\( \\triangle ABC \\) is denoted as \\( \\alpha \\), and the exterior angle at vertex \\( B \\) is denoted as \\( \\beta \\). Which of the following statements is correct?\n\n(A) \\( a = b + c \\).\n\n(B) \\( \\angle B = \\alpha \\).\n\n(C) \\( \\alpha > 120^\\circ, \\beta \\geq 120^\\circ, \\angle C < 60^\\circ \\).\n\n(D) \\( \\angle B + \\angle C = \\alpha \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\angle B + \\angle C = \\alpha",
"style": "rule"
}
|
{
"index": 4101,
"need_tools_kwargs": true,
"question": "In the triangle \\( \\triangle ABC \\), the interior angles opposite to the sides \\( a, b, c \\) are \\( \\angle A, \\angle B, \\angle C \\) respectively. The exterior angle at vertex \\( A \\) of \\( \\triangle ABC \\) is denoted as \\( \\alpha \\), and the exterior angle at vertex \\( B \\) is denoted as \\( \\beta \\). Which of the following statements is correct?\n\n(A) \\( a = b + c \\).\n\n(B) \\( \\angle B = \\alpha \\).\n\n(C) \\( \\alpha > 120^\\circ, \\beta \\geq 120^\\circ, \\angle C < 60^\\circ \\).\n\n(D) \\( \\angle B + \\angle C = \\alpha \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Girl Spy: An Incident Of The Civil War die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "December 16, 1949",
"style": "rule"
}
|
{
"index": 4102,
"need_tools_kwargs": true,
"question": "When did the director of film The Girl Spy: An Incident Of The Civil War 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": "Where was the place of death of the director of film Port Of Seven Seas?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Hollywood",
"style": "rule"
}
|
{
"index": 4103,
"need_tools_kwargs": true,
"question": "Where was the place of death of the director of film Port Of Seven Seas?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "For how many integers $a$ satisfying $1 \\le a \\le 23$ is it true that $a^{-1} \\equiv a \\pmod{24}$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "8",
"style": "rule"
}
|
{
"index": 4104,
"need_tools_kwargs": true,
"question": "For how many integers $a$ satisfying $1 \\le a \\le 23$ is it true that $a^{-1} \\equiv a \\pmod{24}$?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 polynomial $p(x)$ is called semi-balanced if it has integer coefficients and $p(50) = 50$. If $p(x)$ is a semi-balanced polynomial, what is the maximum number of integer solutions $k$ to the equation $p(k) = k^2$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "7",
"style": "rule"
}
|
{
"index": 4105,
"need_tools_kwargs": true,
"question": "A polynomial $p(x)$ is called semi-balanced if it has integer coefficients and $p(50) = 50$. If $p(x)$ is a semi-balanced polynomial, what is the maximum number of integer solutions $k$ to the equation $p(k) = k^2$?",
"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": "Vasya replaced the same digits in two numbers with the same letters, and different digits with different letters. It turned out that the number ZARAZA is divisible by 4, and ALMAZ is divisible by 28. Find the last two digits of the sum ZARAZA + ALMAZ.",
"role": "user"
}
] |
math
|
{
"ground_truth": "32",
"style": "rule"
}
|
{
"index": 4106,
"need_tools_kwargs": true,
"question": "Vasya replaced the same digits in two numbers with the same letters, and different digits with different letters. It turned out that the number ZARAZA is divisible by 4, and ALMAZ is divisible by 28. Find the last two digits of the sum ZARAZA + ALMAZ.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "How big is the swamp that the Stephen C Foster State Park is located in?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "438,000 acre",
"style": "rule"
}
|
{
"index": 4107,
"need_tools_kwargs": true,
"question": "How big is the swamp that the Stephen C Foster State Park is located 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": "Which film has the director who died later, Ettore Fieramosca (1938 Film) or Yama Kinkara?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Yama Kinkara",
"style": "rule"
}
|
{
"index": 4108,
"need_tools_kwargs": true,
"question": "Which film has the director who died later, Ettore Fieramosca (1938 Film) or Yama Kinkara?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "求所有满足 ab(a-b)\\neq0 的整数对 (a,b)，使得存在 \\bZ 的子集 Z_0，满足：对任意整数 n，n,n+a,n+b 中恰有一个属于 Z_0。答案的形式为 (x^k a_1, x^k b_1)，其中 \\{a_1, b_1\\} \\equiv \\{1, 2\\} \\pmod{y}，请给出x+y的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
|
{
"index": 4109,
"need_tools_kwargs": true,
"question": "求所有满足 ab(a-b)\\neq0 的整数对 (a,b)，使得存在 \\bZ 的子集 Z_0，满足：对任意整数 n，n,n+a,n+b 中恰有一个属于 Z_0。答案的形式为 (x^k a_1, x^k b_1)，其中 \\{a_1, b_1\\} \\equiv \\{1, 2\\} \\pmod{y}，请给出x+y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": "Amy, Jan, and Toy each have a certain amount of money. Initially, Toy has 24 dollars and ends with 24 dollars after redistributing their money. Amy first gives enough money to Jan and Toy to double their amounts. Then, Jan gives enough to Amy and Toy to double their amounts. Finally, Toy gives enough to Amy and Jan to double their amounts. What is the total amount of money that all three friends have?",
"role": "user"
}
] |
math
|
{
"ground_truth": "168",
"style": "rule"
}
|
{
"index": 4110,
"need_tools_kwargs": true,
"question": "Amy, Jan, and Toy each have a certain amount of money. Initially, Toy has 24 dollars and ends with 24 dollars after redistributing their money. Amy first gives enough money to Jan and Toy to double their amounts. Then, Jan gives enough to Amy and Toy to double their amounts. Finally, Toy gives enough to Amy and Jan to double their amounts. What is the total amount of money that all three friends have?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Úna Palliser sang over the credits of a BBC drama series set in what year?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1943",
"style": "rule"
}
|
{
"index": 4111,
"need_tools_kwargs": true,
"question": "Úna Palliser sang over the credits of a BBC drama series set in what year?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Define $L(x) = x - \\frac{x^2}{2}$ for every real number $x$. If $n$ is a positive integer, define $a_n$ by\n\\[\n a_n = L \\Bigl( L \\Bigl( L \\Bigl( \\cdots L \\Bigl( \\frac{17}{n} \\Bigr) \\cdots \\Bigr) \\Bigr) \\Bigr),\n\\]where there are $n$ iterations of $L$. For example,\n\\[\n a_4 = L \\Bigl( L \\Bigl( L \\Bigl( L \\Bigl( \\frac{17}{4} \\Bigr) \\Bigr) \\Bigr) \\Bigr).\n\\]As $n$ approaches infinity, what value does $n a_n$ approach?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1.789",
"style": "rule"
}
|
{
"index": 4112,
"need_tools_kwargs": true,
"question": "Define $L(x) = x - \\frac{x^2}{2}$ for every real number $x$. If $n$ is a positive integer, define $a_n$ by\n\\[\n a_n = L \\Bigl( L \\Bigl( L \\Bigl( \\cdots L \\Bigl( \\frac{17}{n} \\Bigr) \\cdots \\Bigr) \\Bigr) \\Bigr),\n\\]where there are $n$ iterations of $L$. For example,\n\\[\n a_4 = L \\Bigl( L \\Bigl( L \\Bigl( L \\Bigl( \\frac{17}{4} \\Bigr) \\Bigr) \\Bigr) \\Bigr).\n\\]As $n$ approaches infinity, what value does $n a_n$ approach?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given a circle $C: x^{2} + y^{2} = 4$ and a line $l: y = x + b$. If there are exactly four points on the circle $C$ that are at a distance of 1 from the line $l$, determine the range of possible values for $b$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "B: (-\\infty, -\\sqrt{2}) \\cup (\\sqrt{2}, +\\infty)",
"style": "rule"
}
|
{
"index": 4113,
"need_tools_kwargs": true,
"question": "Given a circle $C: x^{2} + y^{2} = 4$ and a line $l: y = x + b$. If there are exactly four points on the circle $C$ that are at a distance of 1 from the line $l$, determine the range of possible values for $b$.",
"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": "Given a tetrahedron with the areas of its four faces being $S_{1}, S_{2}, S_{3},$ and $S_{4}$, where the maximum area is denoted by $S$, let $\\lambda = \\frac{\\sum_{i=1}^{4} S_{i}}{S}$. Then $\\lambda$ must satisfy:\n(A) $2 < \\lambda \\leq 4$\n(B) $3 < \\lambda < 4$\n(C) $2.5 < \\lambda \\leq 4.5$\n(D) $3.5 < \\lambda < 5.5$",
"role": "user"
}
] |
math
|
{
"ground_truth": "(\\mathrm{A})",
"style": "rule"
}
|
{
"index": 4114,
"need_tools_kwargs": true,
"question": "Given a tetrahedron with the areas of its four faces being $S_{1}, S_{2}, S_{3},$ and $S_{4}$, where the maximum area is denoted by $S$, let $\\lambda = \\frac{\\sum_{i=1}^{4} S_{i}}{S}$. Then $\\lambda$ must satisfy:\n(A) $2 < \\lambda \\leq 4$\n(B) $3 < \\lambda < 4$\n(C) $2.5 < \\lambda \\leq 4.5$\n(D) $3.5 < \\lambda < 5.5$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of death of Colin Forbes Adam's father?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "22 December 1926",
"style": "rule"
}
|
{
"index": 4115,
"need_tools_kwargs": true,
"question": "What is the date of death of Colin Forbes Adam's father?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 largest number, all of whose digits are 5 or 3, and whose digits add up to $12$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3333",
"style": "rule"
}
|
{
"index": 4116,
"need_tools_kwargs": true,
"question": "What is the largest number, all of whose digits are 5 or 3, and whose digits add up to $12$?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the name of the developer behind the hill resort located 80 km northeast of Kuala Lumpur?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Genting Group",
"style": "rule"
}
|
{
"index": 4117,
"need_tools_kwargs": true,
"question": "What is the name of the developer behind the hill resort located 80 km northeast of Kuala Lumpur?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 kind of business was Elmer Lucille Allen the first African-American Chemist at?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "spirits and wine business",
"style": "rule"
}
|
{
"index": 4118,
"need_tools_kwargs": true,
"question": "what kind of business was Elmer Lucille Allen the first African-American Chemist at?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who released a 1945 animated film starring an anthropomorphic white duck?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "RKO Radio Pictures",
"style": "rule"
}
|
{
"index": 4119,
"need_tools_kwargs": true,
"question": "Who released a 1945 animated film starring an anthropomorphic white duck?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 director of film The Vintage?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "October 15, 1926",
"style": "rule"
}
|
{
"index": 4120,
"need_tools_kwargs": true,
"question": "What is the date of birth of the director of film The Vintage?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Looking for... the best is an album by the man who set a Guinness World Record as the most watched man on TV, and was released in Germany when?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "October 1995",
"style": "rule"
}
|
{
"index": 4121,
"need_tools_kwargs": true,
"question": "Looking for... the best is an album by the man who set a Guinness World Record as the most watched man on TV, and was released in Germany when?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The set $\\{[x] + [2x] + [3x] \\mid x \\in \\mathbb{R}\\} \\mid \\{x \\mid 1 \\leq x \\leq 100, x \\in \\mathbb{Z}\\}$ has how many elements, where $[x]$ denotes the greatest integer less than or equal to $x$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "67",
"style": "rule"
}
|
{
"index": 4122,
"need_tools_kwargs": true,
"question": "The set $\\{[x] + [2x] + [3x] \\mid x \\in \\mathbb{R}\\} \\mid \\{x \\mid 1 \\leq x \\leq 100, x \\in \\mathbb{Z}\\}$ has how many elements, where $[x]$ denotes the greatest integer less than or equal to $x$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where does the performer of song Brains! work at?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "School of Visual Arts",
"style": "rule"
}
|
{
"index": 4123,
"need_tools_kwargs": true,
"question": "Where does the performer of song Brains! work at?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What Island is leased by an independent, Uniting Church, co-educational, day and boarding school?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Goose Island",
"style": "rule"
}
|
{
"index": 4124,
"need_tools_kwargs": true,
"question": "What Island is leased by an independent, Uniting Church, co-educational, day and boarding school?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 triangle diagram, what is the value of $y$?\n\n[asy]\ndraw((0,0)--(18,0),black+linewidth(1));\ndraw((18,0)--(18,-6),black+linewidth(1));\ndraw((0,0)--(4,6)--(18,-6),black+linewidth(1));\ndraw((18,0)--(18,-0.5)--(17.5,-0.5)--(17.5,0)--cycle,black+linewidth(1));\nlabel(\"$70^{\\circ}$\",(4.5,5),S);\nlabel(\"$50^{\\circ}$\",(1,0),NE);\nlabel(\"$y^{\\circ}$\",(18.25,-5),NW);\n[/asy]",
"role": "user"
}
] |
math
|
{
"ground_truth": "30^\\circ",
"style": "rule"
}
|
{
"index": 4125,
"need_tools_kwargs": true,
"question": "In the triangle diagram, what is the value of $y$?\n\n[asy]\ndraw((0,0)--(18,0),black+linewidth(1));\ndraw((18,0)--(18,-6),black+linewidth(1));\ndraw((0,0)--(4,6)--(18,-6),black+linewidth(1));\ndraw((18,0)--(18,-0.5)--(17.5,-0.5)--(17.5,0)--cycle,black+linewidth(1));\nlabel(\"$70^{\\circ}$\",(4.5,5),S);\nlabel(\"$50^{\\circ}$\",(1,0),NE);\nlabel(\"$y^{\\circ}$\",(18.25,-5),NW);\n[/asy]",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of death of the director of film Queen Louise (1957 Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "28 November 1987",
"style": "rule"
}
|
{
"index": 4126,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film Queen Louise (1957 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": "Consider the list:\n\\[12, 3, 6, 3, 5, 3, y\\]\nWhen the mean, median, and mode of this list are arranged in increasing order, they should form a non-constant arithmetic progression. Determine the sum of all possible values of \\(y\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{274}{13}",
"style": "rule"
}
|
{
"index": 4127,
"need_tools_kwargs": true,
"question": "Consider the list:\n\\[12, 3, 6, 3, 5, 3, y\\]\nWhen the mean, median, and mode of this list are arranged in increasing order, they should form a non-constant arithmetic progression. Determine the sum of all possible values of \\(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": "What city did the key suspect in the 2001 anthrax attacks work in?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Frederick, Maryland",
"style": "rule"
}
|
{
"index": 4128,
"need_tools_kwargs": true,
"question": "What city did the key suspect in the 2001 anthrax attacks work 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": "When did Shazahn Padamsee's father die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "17 November 2018",
"style": "rule"
}
|
{
"index": 4129,
"need_tools_kwargs": true,
"question": "When did Shazahn Padamsee's father die?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The B-series automotive engines are sold concurrently with an engine used in the first-generation of what?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Integra",
"style": "rule"
}
|
{
"index": 4130,
"need_tools_kwargs": true,
"question": "The B-series automotive engines are sold concurrently with an engine used in the first-generation of what?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A sum of Rs. 2743 is lent into two parts so that the interest on the first part for 8 years at 3% per annum may be equal to the interest on the second part for 3 years at a certain interest rate per annum. The second sum is Rs. 1688. What is the interest rate for the second part?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4.99\\%",
"style": "rule"
}
|
{
"index": 4131,
"need_tools_kwargs": true,
"question": "A sum of Rs. 2743 is lent into two parts so that the interest on the first part for 8 years at 3% per annum may be equal to the interest on the second part for 3 years at a certain interest rate per annum. The second sum is Rs. 1688. What is the interest rate for the second part?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $\\triangle ABC$, $a$ is 4 units longer than $c$, $b$ is 2 units longer than $c$, and the cosine value of the largest angle is $-\\frac{1}{2}$. Find the area of $\\triangle ABC$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{15\\sqrt{3}}{4}",
"style": "rule"
}
|
{
"index": 4132,
"need_tools_kwargs": true,
"question": "In $\\triangle ABC$, $a$ is 4 units longer than $c$, $b$ is 2 units longer than $c$, and the cosine value of the largest angle is $-\\frac{1}{2}$. Find the area of $\\triangle ABC$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Vicious Lies and Dangerous Rumors featured a guest appearance by which rapper, actor, and model from Harlem?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Rakim Mayers",
"style": "rule"
}
|
{
"index": 4133,
"need_tools_kwargs": true,
"question": "Vicious Lies and Dangerous Rumors featured a guest appearance by which rapper, actor, and model from Harlem?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 points $P$, $Q$ and $R$ lie on the surface of a sphere with center $O$ and radius $25$. It is given that $PQ=20$, $QR=21$, $RP=29$, and that the distance from $O$ to $\\triangle PQR$ is $\\frac{x\\sqrt{y}}{z}$, where $x$, $y$, and $z$ are positive integers, $x$ and $z$ are relatively prime, and $y$ is not divisible by the square of any prime. Find $x+y+z$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "46",
"style": "rule"
}
|
{
"index": 4134,
"need_tools_kwargs": true,
"question": "The points $P$, $Q$ and $R$ lie on the surface of a sphere with center $O$ and radius $25$. It is given that $PQ=20$, $QR=21$, $RP=29$, and that the distance from $O$ to $\\triangle PQR$ is $\\frac{x\\sqrt{y}}{z}$, where $x$, $y$, and $z$ are positive integers, $x$ and $z$ are relatively prime, and $y$ is not divisible by the square of any prime. Find $x+y+z$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Out of 8 circular disks with radius \\( r \\), 7 are fixed on a table such that their centers are at the vertices and center of a regular hexagon with side length \\( 2r \\), and the 8th disk touches one of the 6 outer disks. The 8th disk is rolled around the 7 fixed disks once without slipping, until it returns to its starting position. How many times does the 8th disk rotate about its own center during this process? (Provide an explanation for the answer.)",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"index": 4135,
"need_tools_kwargs": true,
"question": "Out of 8 circular disks with radius \\( r \\), 7 are fixed on a table such that their centers are at the vertices and center of a regular hexagon with side length \\( 2r \\), and the 8th disk touches one of the 6 outer disks. The 8th disk is rolled around the 7 fixed disks once without slipping, until it returns to its starting position. How many times does the 8th disk rotate about its own center during this process? (Provide an explanation for the answer.)",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 boards, one five inches wide and the other six inches wide, are nailed together to form an X. The angle at which they cross is 45 degrees. If this structure is painted and the boards are separated, what is the area of the unpainted region on the five-inch board? Assume that the holes caused by the nails are negligible.",
"role": "user"
}
] |
math
|
{
"ground_truth": "30\\sqrt{2}",
"style": "rule"
}
|
{
"index": 4136,
"need_tools_kwargs": true,
"question": "Two boards, one five inches wide and the other six inches wide, are nailed together to form an X. The angle at which they cross is 45 degrees. If this structure is painted and the boards are separated, what is the area of the unpainted region on the five-inch board? Assume that the holes caused by the nails are negligible.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Josh works 8 hours a day, 5 days a week, 4 weeks a month. Carl is an intern and works 2 hours less than Josh every day. Josh gets $9 an hour and Carl, half that. How much does the company pay for the 2 together in one month?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\$1980",
"style": "rule"
}
|
{
"index": 4137,
"need_tools_kwargs": true,
"question": "Josh works 8 hours a day, 5 days a week, 4 weeks a month. Carl is an intern and works 2 hours less than Josh every day. Josh gets $9 an hour and Carl, half that. How much does the company pay for the 2 together in one 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": "Determine how many non-congruent triangles can be formed by selecting vertices from the nine points in the following 3x3 grid:\n- Point 1: (0,0)\n- Point 2: (0.5,0)\n- Point 3: (1,0)\n- Point 4: (0,0.5)\n- Point 5: (0.5,0.5)\n- Point 6: (1,0.5)\n- Point 7: (0,1)\n- Point 8: (0.5,1)\n- Point 9: (1,1)",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 4138,
"need_tools_kwargs": true,
"question": "Determine how many non-congruent triangles can be formed by selecting vertices from the nine points in the following 3x3 grid:\n- Point 1: (0,0)\n- Point 2: (0.5,0)\n- Point 3: (1,0)\n- Point 4: (0,0.5)\n- Point 5: (0.5,0.5)\n- Point 6: (1,0.5)\n- Point 7: (0,1)\n- Point 8: (0.5,1)\n- Point 9: (1,1)",
"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": "在 1,2,3,\\cdots,10 中随机选出一个数 a，在 -1, -2, -3, \\cdots, -10 中随机选出一个数 b，则 a^2+b 能被 3 整除的概率为 \\dfrac{k}{m}，请给出 k + m 的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "137",
"style": "rule"
}
|
{
"index": 4139,
"need_tools_kwargs": true,
"question": "在 1,2,3,\\cdots,10 中随机选出一个数 a，在 -1, -2, -3, \\cdots, -10 中随机选出一个数 b，则 a^2+b 能被 3 整除的概率为 \\dfrac{k}{m}，请给出 k + m 的值。",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which is the only religious building created by the Italian architect and painter of the High Renaissance who was born in 1483?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "The Chigi Chapel",
"style": "rule"
}
|
{
"index": 4140,
"need_tools_kwargs": true,
"question": "Which is the only religious building created by the Italian architect and painter of the High Renaissance who was born in 1483?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Fifteen women are seated in a circular arrangement. After a break, they need to be reseated using all 15 seats, with each woman sitting either in her original seat or in the seat immediately to her left or right. Determine the total number of ways the women can be reseated under these conditions.",
"role": "user"
}
] |
math
|
{
"ground_truth": "987",
"style": "rule"
}
|
{
"index": 4141,
"need_tools_kwargs": true,
"question": "Fifteen women are seated in a circular arrangement. After a break, they need to be reseated using all 15 seats, with each woman sitting either in her original seat or in the seat immediately to her left or right. Determine the total number of ways the women can be reseated under these conditions.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Gillian’s phone bill is usually $50 a month. If the monthly bill increases by a certain percentage, her phone bill for the entire next year will be $660. What is the percentage increase in her monthly bill?",
"role": "user"
}
] |
math
|
{
"ground_truth": "10\\%",
"style": "rule"
}
|
{
"index": 4142,
"need_tools_kwargs": true,
"question": "Gillian’s phone bill is usually $50 a month. If the monthly bill increases by a certain percentage, her phone bill for the entire next year will be $660. What is the percentage increase in her monthly bill?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who is the The Golden Stairs' painter's son?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Philip Burne-Jones",
"style": "rule"
}
|
{
"index": 4143,
"need_tools_kwargs": true,
"question": "Who is the The Golden Stairs' painter's son?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "If three lines: \\(4x + y = 4\\), \\(mx + y = 0\\), and \\(2x - 3my = 4\\) do not form a triangle, then the value of \\(m\\) is .",
"role": "user"
}
] |
math
|
{
"ground_truth": "4, -\\frac{1}{6}, -1, \\frac{2}{3}",
"style": "rule"
}
|
{
"index": 4144,
"need_tools_kwargs": true,
"question": "If three lines: \\(4x + y = 4\\), \\(mx + y = 0\\), and \\(2x - 3my = 4\\) do not form a triangle, then the value of \\(m\\) is .",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The actress that stars in \"Seven Minutes in Heaven\" made her acting debut in what film?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "\"Once Upon a Time in America\"",
"style": "rule"
}
|
{
"index": 4145,
"need_tools_kwargs": true,
"question": "The actress that stars in \"Seven Minutes in Heaven\" made her acting debut in what 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": "Find the minimum value of\n\\[\\frac{\\sin^6 x + \\cos^6 x + 1}{\\sin^4 x + \\cos^4 x + 1}\\]over all real values $x.$",
"role": "user"
}
] |
math
|
{
"ground_truth": "0.833333333333333",
"style": "rule"
}
|
{
"index": 4146,
"need_tools_kwargs": true,
"question": "Find the minimum value of\n\\[\\frac{\\sin^6 x + \\cos^6 x + 1}{\\sin^4 x + \\cos^4 x + 1}\\]over all real values $x.$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Shedd Park Fieldhouse was named for the second president and chairman of what board?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Marshall Field & Company",
"style": "rule"
}
|
{
"index": 4147,
"need_tools_kwargs": true,
"question": "Shedd Park Fieldhouse was named for the second president and chairman of what board?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where was the place of death of the director of film Neutral Port?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "West Sussex",
"style": "rule"
}
|
{
"index": 4148,
"need_tools_kwargs": true,
"question": "Where was the place of death of the director of film Neutral Port?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Playboy was forced to sell a club in 1982 that it had purchased from an English zoo owner who used gambling to move to the centre of what?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "British high society",
"style": "rule"
}
|
{
"index": 4149,
"need_tools_kwargs": true,
"question": "Playboy was forced to sell a club in 1982 that it had purchased from an English zoo owner who used gambling to move to the centre of what?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Klitgaarden (lit.\"The Dune House\") is a former summer residence of the Danish royal family situated just south of Skagen on the northern tip of Jutland, the house was designed by Ulrik Plesner, and completed in 1914, for King Christian X and Queen Alexandrine, Alexandrine of Mecklenburg-Schwerin (24 December 1879 – 28 December 1952) was Queen of Denmark as the spouse of King Christian X, she was also of which title?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Queen of Iceland",
"style": "rule"
}
|
{
"index": 4150,
"need_tools_kwargs": true,
"question": "Klitgaarden (lit.\"The Dune House\") is a former summer residence of the Danish royal family situated just south of Skagen on the northern tip of Jutland, the house was designed by Ulrik Plesner, and completed in 1914, for King Christian X and Queen Alexandrine, Alexandrine of Mecklenburg-Schwerin (24 December 1879 – 28 December 1952) was Queen of Denmark as the spouse of King Christian X, she was also of which title?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 cars Niva and Toyota are driving on a ring track of a test site, a quarter of which is on a dirt road and the remaining part is on asphalt. The speed of the Niva on the dirt road is 80 km/h, and on asphalt it is 90 km/h. The speed of the Toyota on the dirt road is 40 km/h, and on asphalt it is 120 km/h. The cars start simultaneously at the beginning of the dirt road section and first drive through this dirt part. On which lap will one of the cars overtake the other for the first time?",
"role": "user"
}
] |
math
|
{
"ground_truth": "11",
"style": "rule"
}
|
{
"index": 4151,
"need_tools_kwargs": true,
"question": "The cars Niva and Toyota are driving on a ring track of a test site, a quarter of which is on a dirt road and the remaining part is on asphalt. The speed of the Niva on the dirt road is 80 km/h, and on asphalt it is 90 km/h. The speed of the Toyota on the dirt road is 40 km/h, and on asphalt it is 120 km/h. The cars start simultaneously at the beginning of the dirt road section and first drive through this dirt part. On which lap will one of the cars overtake the other for the first time?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The expression \\(\\frac{a^{-2}}{a^{5}} \\times \\frac{4 a}{\\left(2^{-1} a\\right)^{-3}}\\) where \\(a \\neq 0\\), is equal to:\n(a) \\(\\frac{a^{3}}{2}\\)\n(b) \\(\\frac{2}{a^{3}}\\)\n(c) \\(\\frac{1}{2 a^{3}}\\)\n(d) \\(\\frac{a^{5}}{2}\\)\n(e) \\(\\frac{2}{a^{5}}\\)",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{1}{2 a^{3}}",
"style": "rule"
}
|
{
"index": 4152,
"need_tools_kwargs": true,
"question": "The expression \\(\\frac{a^{-2}}{a^{5}} \\times \\frac{4 a}{\\left(2^{-1} a\\right)^{-3}}\\) where \\(a \\neq 0\\), is equal to:\n(a) \\(\\frac{a^{3}}{2}\\)\n(b) \\(\\frac{2}{a^{3}}\\)\n(c) \\(\\frac{1}{2 a^{3}}\\)\n(d) \\(\\frac{a^{5}}{2}\\)\n(e) \\(\\frac{2}{a^{5}}\\)",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In the first quarter, Vasya had 5 grades in math, with most of them being A's (assuming A corresponds to a 5). The median of all the grades was 4, and the arithmetic mean was 3.8. What grades could Vasya have received?",
"role": "user"
}
] |
math
|
{
"ground_truth": "[1, 4, 4, 5, 5]",
"style": "rule"
}
|
{
"index": 4153,
"need_tools_kwargs": true,
"question": "In the first quarter, Vasya had 5 grades in math, with most of them being A's (assuming A corresponds to a 5). The median of all the grades was 4, and the arithmetic mean was 3.8. What grades could Vasya have received?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "设$x>1$，$y>1$，$S=\\min\\left\\{\\log_{x}2,\\log_{2}y,\\log_{y}\\left(8x^{2}\\right)\\right\\}$。则$S$的最大值为______。",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 4154,
"need_tools_kwargs": true,
"question": "设$x>1$，$y>1$，$S=\\min\\left\\{\\log_{x}2,\\log_{2}y,\\log_{y}\\left(8x^{2}\\right)\\right\\}$。则$S$的最大值为______。",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A circular sheet of paper with radius of $6$ cm is cut into three congruent sectors. What is the height of the cone in centimeters that can be created by rolling one of the sections until the edges meet? Express your answer in simplest radical form.",
"role": "user"
}
] |
math
|
{
"ground_truth": "4 \\sqrt{2}",
"style": "rule"
}
|
{
"index": 4155,
"need_tools_kwargs": true,
"question": "A circular sheet of paper with radius of $6$ cm is cut into three congruent sectors. What is the height of the cone in centimeters that can be created by rolling one of the sections until the edges meet? Express your answer in simplest radical 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": "Gordon Warnecke worked alongside the former senator for which political party on Young Toscanini?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "\"Forza Italia\" party.",
"style": "rule"
}
|
{
"index": 4156,
"need_tools_kwargs": true,
"question": "Gordon Warnecke worked alongside the former senator for which political party on Young Toscanini?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Nutt-So collaborated on an album with which rapper known for his collaborative work with Tupac Shakur?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Hussein Fatal",
"style": "rule"
}
|
{
"index": 4157,
"need_tools_kwargs": true,
"question": "Nutt-So collaborated on an album with which rapper known for his collaborative work with Tupac Shakur?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 woman can do a piece of work in 40 days. A man is more efficient than the woman and can do the same piece of work in 32 days. What is the percentage increase in efficiency of the man compared to the woman?",
"role": "user"
}
] |
math
|
{
"ground_truth": "25\\%",
"style": "rule"
}
|
{
"index": 4158,
"need_tools_kwargs": true,
"question": "A woman can do a piece of work in 40 days. A man is more efficient than the woman and can do the same piece of work in 32 days. What is the percentage increase in efficiency of the man compared to the woman?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $a \\in A$, and $a-1 \\notin A$ and $a+1 \\notin A$, $a$ is called an isolated element of set $A$. How many four-element subsets of the set $M=\\{1,2, \\cdots, 9\\}$ have no isolated elements?",
"role": "user"
}
] |
math
|
{
"ground_truth": "21",
"style": "rule"
}
|
{
"index": 4159,
"need_tools_kwargs": true,
"question": "Given that $a \\in A$, and $a-1 \\notin A$ and $a+1 \\notin A$, $a$ is called an isolated element of set $A$. How many four-element subsets of the set $M=\\{1,2, \\cdots, 9\\}$ have no isolated elements?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "First airing in 1999, this show features the fictitiius place \"rock bottom\".",
"role": "user"
}
] |
qa
|
{
"ground_truth": "\"SpongeBob SquarePants\", created by former marine biologist and animator Stephen Hillenburg",
"style": "rule"
}
|
{
"index": 4160,
"need_tools_kwargs": true,
"question": "First airing in 1999, this show features the fictitiius place \"rock bottom\".",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 focus of the parabola $y = 4x^2 - 3.$",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\left( 0, -\\frac{47}{16} \\right)",
"style": "rule"
}
|
{
"index": 4161,
"need_tools_kwargs": true,
"question": "Find the focus of the parabola $y = 4x^2 - 3.$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where did Charlotte Attenborough's father graduate from?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Royal Academy of Dramatic Art",
"style": "rule"
}
|
{
"index": 4162,
"need_tools_kwargs": true,
"question": "Where did Charlotte Attenborough's father 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": "Who directed the comedy film based on Shakespeare's play about two young star-crossed lovers?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Carlo Vanzina",
"style": "rule"
}
|
{
"index": 4163,
"need_tools_kwargs": true,
"question": "Who directed the comedy film based on Shakespeare's play about two young star-crossed lovers?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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\\), angle \\(A\\) is \\(40^\\circ\\). The triangle is randomly thrown onto a table. Find the probability that vertex \\(A\\) ends up east of the other two vertices.",
"role": "user"
}
] |
math
|
{
"ground_truth": "0.388888888888889",
"style": "rule"
}
|
{
"index": 4164,
"need_tools_kwargs": true,
"question": "In triangle \\(ABC\\), angle \\(A\\) is \\(40^\\circ\\). The triangle is randomly thrown onto a table. Find the probability that vertex \\(A\\) ends up east of the other two vertices.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Calculate: \\( 4\\left(\\sin ^{3} \\frac{49 \\pi}{48} \\cos \\frac{49 \\pi}{16} + \\cos ^{3} \\frac{49 \\pi}{48} \\sin \\frac{49 \\pi}{16}\\right) \\cos \\frac{49 \\pi}{12} \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{3}{4}",
"style": "rule"
}
|
{
"index": 4165,
"need_tools_kwargs": true,
"question": "Calculate: \\( 4\\left(\\sin ^{3} \\frac{49 \\pi}{48} \\cos \\frac{49 \\pi}{16} + \\cos ^{3} \\frac{49 \\pi}{48} \\sin \\frac{49 \\pi}{16}\\right) \\cos \\frac{49 \\pi}{12} \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A locker at a crowded sports club contains 80 red socks, 70 yellow socks, 50 green socks, 60 blue socks, and 40 orange socks. A player selects socks one at a time from the locker without being able to see their color. What is the smallest number of socks that must be selected to guarantee that the selection contains at least 15 pairs?",
"role": "user"
}
] |
math
|
{
"ground_truth": "38",
"style": "rule"
}
|
{
"index": 4166,
"need_tools_kwargs": true,
"question": "A locker at a crowded sports club contains 80 red socks, 70 yellow socks, 50 green socks, 60 blue socks, and 40 orange socks. A player selects socks one at a time from the locker without being able to see their color. What is the smallest number of socks that must be selected to guarantee that the selection contains at least 15 pairs?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 jar contains only red , yellow , and orange marbles . if there are 3 red , 5 yellow , and 4 orange marbles , and 3 marbles are chosen from the jar at random without replacing any of them , what is the probability that 2 yellow , 1 red , and no orange marbles will be chosen ?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3/22",
"style": "rule"
}
|
{
"index": 4167,
"need_tools_kwargs": true,
"question": "a jar contains only red , yellow , and orange marbles . if there are 3 red , 5 yellow , and 4 orange marbles , and 3 marbles are chosen from the jar at random without replacing any of them , what is the probability that 2 yellow , 1 red , and no orange marbles will be chosen ?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which film has the director who was born earlier, My Love Came Back or The Gentleman From Maxim'S?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "The Gentleman From Maxim'S",
"style": "rule"
}
|
{
"index": 4168,
"need_tools_kwargs": true,
"question": "Which film has the director who was born earlier, My Love Came Back or The Gentleman From Maxim'S?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where was the place of death of the performer of song You (Marvin Gaye Song)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Los Angeles",
"style": "rule"
}
|
{
"index": 4169,
"need_tools_kwargs": true,
"question": "Where was the place of death of the performer of song You (Marvin Gaye 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": "For integer $k \\ge 1$, let $a_k =\\frac{k}{4k^4 + 1}$. Find the least integer $n$ such that $a_1 + a_2 + a_3 + ... + a_n > \\frac{505.45}{2022}$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "71",
"style": "rule"
}
|
{
"index": 4170,
"need_tools_kwargs": true,
"question": "For integer $k \\ge 1$, let $a_k =\\frac{k}{4k^4 + 1}$. Find the least integer $n$ such that $a_1 + a_2 + a_3 + ... + a_n > \\frac{505.45}{2022}$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Does Fallopia or Punica feature more species of flowering plants?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Fallopia is a genus of about 12–15 species",
"style": "rule"
}
|
{
"index": 4171,
"need_tools_kwargs": true,
"question": "Does Fallopia or Punica feature more species of flowering plants?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": " Thomas Anthony Jankiewicz was best known for penning a film staring an actress who played Fiona Bowa on what NBC sitcom?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "About a Boy",
"style": "rule"
}
|
{
"index": 4172,
"need_tools_kwargs": true,
"question": " Thomas Anthony Jankiewicz was best known for penning a film staring an actress who played Fiona Bowa on what NBC sitcom?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A rectangle has vertices at \\((0,0)\\), \\((100,0)\\), \\((100,50)\\), and \\((0,50)\\). Inside this rectangle, there is a circle with center at \\((75,30)\\) and a radius of 10. Determine the slope of the line that passes through the center of the circle \\((75,30)\\) and divides the remaining area of the rectangle (after the circle has been removed) into two equal areas.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{1}{5}",
"style": "rule"
}
|
{
"index": 4173,
"need_tools_kwargs": true,
"question": "A rectangle has vertices at \\((0,0)\\), \\((100,0)\\), \\((100,50)\\), and \\((0,50)\\). Inside this rectangle, there is a circle with center at \\((75,30)\\) and a radius of 10. Determine the slope of the line that passes through the center of the circle \\((75,30)\\) and divides the remaining area of the rectangle (after the circle has been removed) into two equal areas.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 set of data $2$, $3$, $3$, $4$, $6$, $6$, $8$, $8$, the $50$th percentile is ______.",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
|
{
"index": 4174,
"need_tools_kwargs": true,
"question": "For a set of data $2$, $3$, $3$, $4$, $6$, $6$, $8$, $8$, the $50$th percentile is ______.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let \\( S \\) be the set of points whose coordinates \\( x \\), \\( y \\), and \\( z \\) are integers that satisfy \\( 0 \\leq x \\leq 2 \\), \\( 0 \\leq y \\leq 3 \\), and \\( 0 \\leq z \\leq 4 \\). Two distinct points are randomly chosen from \\( S \\). Find the probability that the midpoint of the two chosen points also belongs to \\( S \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "0.1299",
"style": "rule"
}
|
{
"index": 4175,
"need_tools_kwargs": true,
"question": "Let \\( S \\) be the set of points whose coordinates \\( x \\), \\( y \\), and \\( z \\) are integers that satisfy \\( 0 \\leq x \\leq 2 \\), \\( 0 \\leq y \\leq 3 \\), and \\( 0 \\leq z \\leq 4 \\). Two distinct points are randomly chosen from \\( S \\). Find the probability that the midpoint of the two chosen points also belongs to \\( S \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Find, as a function of $\\, n, \\,$ the sum of the digits of \\[9 \\times 99 \\times 9999 \\times \\cdots \\times \\left( 10^{2^n} - 1 \\right),\\] where each factor has twice as many digits as the previous one.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\[ 9 \\cdot 2^n \\]",
"style": "rule"
}
|
{
"index": 4176,
"need_tools_kwargs": true,
"question": "Find, as a function of $\\, n, \\,$ the sum of the digits of \\[9 \\times 99 \\times 9999 \\times \\cdots \\times \\left( 10^{2^n} - 1 \\right),\\] where each factor has twice as many digits as the previous one.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "William McKendree Gwin (October 9, 1805 – September 3, 1885) was an American medical doctor and politician, serving in elected office in Mississippi and California, in California he shared the distinction, along with which American explorer, politician, and soldier who, in 1856, became the first candidate of the anti-slavery Republican Party for the office of President of the United States?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "John Charles Frémont",
"style": "rule"
}
|
{
"index": 4177,
"need_tools_kwargs": true,
"question": "William McKendree Gwin (October 9, 1805 – September 3, 1885) was an American medical doctor and politician, serving in elected office in Mississippi and California, in California he shared the distinction, along with which American explorer, politician, and soldier who, in 1856, became the first candidate of the anti-slavery Republican Party for the office of President of the United States?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $ABC,$ if median $\\overline{AD}$ makes an angle of $45^\\circ$ with side $\\overline{BC},$ then find the value of $|\\cot B - \\cot C|.$",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 4178,
"need_tools_kwargs": true,
"question": "In triangle $ABC,$ if median $\\overline{AD}$ makes an angle of $45^\\circ$ with side $\\overline{BC},$ then find the value of $|\\cot B - \\cot C|.$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Dave had some apps and 9 files on his phone. After deleting some apps and files, he had 5 files and 12 apps left. Now, Dave has 7 more apps than files left on the phone. How many apps did he have initially?",
"role": "user"
}
] |
math
|
{
"ground_truth": "16",
"style": "rule"
}
|
{
"index": 4179,
"need_tools_kwargs": true,
"question": "Dave had some apps and 9 files on his phone. After deleting some apps and files, he had 5 files and 12 apps left. Now, Dave has 7 more apps than files left on the phone. How many apps did he have initially?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 \\( a^{2}+b^{2}+c^{2}+d^{2}-a b-b c-c d-d+2 / 5=0 \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{4}{5}",
"style": "rule"
}
|
{
"index": 4180,
"need_tools_kwargs": true,
"question": "Solve the equation \\( a^{2}+b^{2}+c^{2}+d^{2}-a b-b c-c d-d+2 / 5=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": "Thomas D'Alesandro Jr. is the father of the Minority Leader who represents what district?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "California's 12th",
"style": "rule"
}
|
{
"index": 4181,
"need_tools_kwargs": true,
"question": "Thomas D'Alesandro Jr. is the father of the Minority Leader who represents what district?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Get Carter starred which Scottish-American actor and activist?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Alan Cumming",
"style": "rule"
}
|
{
"index": 4182,
"need_tools_kwargs": true,
"question": "Get Carter starred which Scottish-American actor and activist?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "圆周上有 \\(A_{1}, A_{2}, \\ldots, A_{7}\\) 七个点两两相连。任选两条线段，则这两条线段无公共点的概率是多少？请以分数形式 \\(\\frac{k}{m}\\) 作答，并给出 \\(k + m\\) 的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"index": 4183,
"need_tools_kwargs": true,
"question": "圆周上有 \\(A_{1}, A_{2}, \\ldots, A_{7}\\) 七个点两两相连。任选两条线段，则这两条线段无公共点的概率是多少？请以分数形式 \\(\\frac{k}{m}\\) 作答，并给出 \\(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": "Let $ABC$ be a triangle with area $K$ . Points $A^*$ , $B^*$ , and $C^*$ are chosen on $AB$ , $BC$ , and $CA$ respectively such that $\\triangle{A^*B^*C^*}$ has area $J$ . Suppose that \\[\\frac{AA^*}{AB}=\\frac{BB^*}{BC}=\\frac{CC^*}{CA}=\\frac{J}{K}=x\\] for some $0<x<1$ . What is $x$ ?\n\n*2019 CCA Math Bonanza Lightning Round #4.3*",
"role": "user"
}
] |
math
|
{
"ground_truth": "1/3",
"style": "rule"
}
|
{
"index": 4184,
"need_tools_kwargs": true,
"question": "Let $ABC$ be a triangle with area $K$ . Points $A^*$ , $B^*$ , and $C^*$ are chosen on $AB$ , $BC$ , and $CA$ respectively such that $\\triangle{A^*B^*C^*}$ has area $J$ . Suppose that \\[\\frac{AA^*}{AB}=\\frac{BB^*}{BC}=\\frac{CC^*}{CA}=\\frac{J}{K}=x\\] for some $0<x<1$ . What is $x$ ?\n\n*2019 CCA Math Bonanza Lightning Round #4.3*",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What year did the film Michael Nyman performed excerpts of Wonderland for come out?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "2004",
"style": "rule"
}
|
{
"index": 4185,
"need_tools_kwargs": true,
"question": "What year did the film Michael Nyman performed excerpts of Wonderland for come out?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Maisy is at the origin of the coordinate plane. On her first step, she moves $1$ unit up. On her second step, she moves $1$ unit to the right. On her third step, she moves $2$ units up. On her fourth step, she moves $2$ units to the right. She repeats this pattern with each odd-numbered step being $1$ unit more than the previous step. Given that the point that Maisy lands on after her $21$st step can be written in the form $(x, y)$, find the value of $x + y$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "121",
"style": "rule"
}
|
{
"index": 4186,
"need_tools_kwargs": true,
"question": "Maisy is at the origin of the coordinate plane. On her first step, she moves $1$ unit up. On her second step, she moves $1$ unit to the right. On her third step, she moves $2$ units up. On her fourth step, she moves $2$ units to the right. She repeats this pattern with each odd-numbered step being $1$ unit more than the previous step. Given that the point that Maisy lands on after her $21$st step can be written in the form $(x, y)$, find the value of $x + y$.",
"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 an ellipse $\\frac{x^{2}}{a^{2}} + \\frac{y^{2}}{b^{2}} = 1$ ($a > b > 0$) with its left and right foci being $F_{1}$ and $F_{2}$ respectively, and four points $M(-a, b)$, $N(a, b)$, $F_{2}$, and $F_{1}$ form an isosceles trapezoid with a height of $\\sqrt{3}$ and an area of $3\\sqrt{3}$. \n(1) Find the equation of the ellipse; \n(2) A line passing through point $F_{1}$ intersects the ellipse at two points $A$ and $B$. Find the maximum area of $\\triangle F_{2}AB$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 4187,
"need_tools_kwargs": true,
"question": "Given an ellipse $\\frac{x^{2}}{a^{2}} + \\frac{y^{2}}{b^{2}} = 1$ ($a > b > 0$) with its left and right foci being $F_{1}$ and $F_{2}$ respectively, and four points $M(-a, b)$, $N(a, b)$, $F_{2}$, and $F_{1}$ form an isosceles trapezoid with a height of $\\sqrt{3}$ and an area of $3\\sqrt{3}$. \n(1) Find the equation of the ellipse; \n(2) A line passing through point $F_{1}$ intersects the ellipse at two points $A$ and $B$. Find the maximum area of $\\triangle F_{2}AB$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 shortest distance from a point on the curve $f(x)=\\ln (2x-1)$ to the line $2x-y+3=0$. The shortest distance is ($\\ \\ \\ $).\nA: $1$\nB: $2$\nC: $\\sqrt {5}$\nD: $3$",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\sqrt {5}",
"style": "rule"
}
|
{
"index": 4188,
"need_tools_kwargs": true,
"question": "Find the shortest distance from a point on the curve $f(x)=\\ln (2x-1)$ to the line $2x-y+3=0$. The shortest distance is ($\\ \\ \\ $).\nA: $1$\nB: $2$\nC: $\\sqrt {5}$\nD: $3$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": " Ballad for Americans is a studio album of phonograph records by an American singer and actor whose sold how many records, tapes, compact discs and digital downloads?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "over one billion",
"style": "rule"
}
|
{
"index": 4189,
"need_tools_kwargs": true,
"question": " Ballad for Americans is a studio album of phonograph records by an American singer and actor whose sold how many records, tapes, compact discs and digital downloads?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Are the bands The Body Rampant and Abaco Dream, from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 4190,
"need_tools_kwargs": true,
"question": "Are the bands The Body Rampant and Abaco Dream, from the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What nationality is the director of film The Lawyer (Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Canadian",
"style": "rule"
}
|
{
"index": 4191,
"need_tools_kwargs": true,
"question": "What nationality is the director of film The Lawyer (Film)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where was the performer of song Think It Over born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Lubbock, Texas",
"style": "rule"
}
|
{
"index": 4192,
"need_tools_kwargs": true,
"question": "Where was the performer of song Think It Over 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": "Lilia has 15 peaches. She sold 10 peaches to her friends for $2 each, while 4 other peaches were sold to her relatives for $1.25 each, and she left the other one for herself. How much did she earn after selling 14 peaches?",
"role": "user"
}
] |
math
|
{
"ground_truth": "25.0",
"style": "rule"
}
|
{
"index": 4193,
"need_tools_kwargs": true,
"question": "Lilia has 15 peaches. She sold 10 peaches to her friends for $2 each, while 4 other peaches were sold to her relatives for $1.25 each, and she left the other one for herself. How much did she earn after selling 14 peaches?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 director of film The Art Of Living (Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "27 December 1930",
"style": "rule"
}
|
{
"index": 4194,
"need_tools_kwargs": true,
"question": "What is the date of birth of the director of film The Art Of Living (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": "Are both Qasem Alvan and Chah-E Hajji Rudini located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 4195,
"need_tools_kwargs": true,
"question": "Are both Qasem Alvan and Chah-E Hajji Rudini 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": "Are director of film One Year Later (Film) and director of film Spies Strike Silently from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 4196,
"need_tools_kwargs": true,
"question": "Are director of film One Year Later (Film) and director of film Spies Strike Silently from the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of birth of the director of film Hot Money (Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "April 15, 1893",
"style": "rule"
}
|
{
"index": 4197,
"need_tools_kwargs": true,
"question": "What is the date of birth of the director of film Hot Money (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": "After Brown v. Board of Education, the Florida legislature opened Hampton Junior College in which city as one of 11 black community colleges to show that the education system was separate but equal?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Ocala, Florida",
"style": "rule"
}
|
{
"index": 4198,
"need_tools_kwargs": true,
"question": "After Brown v. Board of Education, the Florida legislature opened Hampton Junior College in which city as one of 11 black community colleges to show that the education system was separate but equal?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "**Problem 1.** The longest side of a cyclic quadrilateral $ABCD$ has length $a$ , whereas the circumradius of $\\triangle{ACD}$ is of length 1. Determine the smallest of such $a$ . For what quadrilateral $ABCD$ results in $a$ attaining its minimum?**Problem 2.** In a box, there are 4 balls, each numbered 1, 2, 3 and 4. Anggi takes an arbitrary ball, takes note of the number, and puts it back into the box. She does the procedure 4 times. Suppose the sum of the four numbers she took note of, is 12. What's the probability that, while doing the mentioned procedure, that she always takes the ball numbered 3?**Problem 3.** If $\\alpha, \\beta$ and $\\gamma$ are the roots of $x^3 - x - 1 = 0$ , determine the value of \\[ \\frac{1 + \\alpha}{1 - \\alpha} + \\frac{1 + \\beta}{1 - \\beta} + \\frac{1 + \\gamma}{1 - \\gamma}. \\]**Problem 4.** The lengths of three sides, $a, b, c$ with $a \\leq b \\leq c$ , of a right triangle, are integers. Determine all triples $(a, b, c)$ so that the value of the perimeter and the area such triangle(s) are equal to each other.**Problem 5.** Let $A$ and $B$ be two sets, each having consecutive natural numbers as their elements. The sum of the arithmetic mean of the elements of $A$ and the arithmetic mean of the elements of $B$ is 5002. If $A \\cap B = \\{2005\\}$ , then find the largest possible element of $A \\cup B$ .",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 4199,
"need_tools_kwargs": true,
"question": "**Problem 1.** The longest side of a cyclic quadrilateral $ABCD$ has length $a$ , whereas the circumradius of $\\triangle{ACD}$ is of length 1. Determine the smallest of such $a$ . For what quadrilateral $ABCD$ results in $a$ attaining its minimum?**Problem 2.** In a box, there are 4 balls, each numbered 1, 2, 3 and 4. Anggi takes an arbitrary ball, takes note of the number, and puts it back into the box. She does the procedure 4 times. Suppose the sum of the four numbers she took note of, is 12. What's the probability that, while doing the mentioned procedure, that she always takes the ball numbered 3?**Problem 3.** If $\\alpha, \\beta$ and $\\gamma$ are the roots of $x^3 - x - 1 = 0$ , determine the value of \\[ \\frac{1 + \\alpha}{1 - \\alpha} + \\frac{1 + \\beta}{1 - \\beta} + \\frac{1 + \\gamma}{1 - \\gamma}. \\]**Problem 4.** The lengths of three sides, $a, b, c$ with $a \\leq b \\leq c$ , of a right triangle, are integers. Determine all triples $(a, b, c)$ so that the value of the perimeter and the area such triangle(s) are equal to each other.**Problem 5.** Let $A$ and $B$ be two sets, each having consecutive natural numbers as their elements. The sum of the arithmetic mean of the elements of $A$ and the arithmetic mean of the elements of $B$ is 5002. If $A \\cap B = \\{2005\\}$ , then find the largest possible element of $A \\cup B$ .",
"split": "train"
}
| null |
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