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": "求所有的正整数组 (a, n, p, q, r)，使得 a^n - 1 = (a^p - 1)(a^q - 1)(a^r - 1)。答案形式为 a + n + p + q + r，请给出所有可能解中最小的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "8",
"style": "rule"
}
|
{
"index": 900,
"need_tools_kwargs": true,
"question": "求所有的正整数组 (a, n, p, q, r)，使得 a^n - 1 = (a^p - 1)(a^q - 1)(a^r - 1)。答案形式为 a + n + p + q + r，请给出所有可能解中最小的值。",
"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": "Who is known for her role as Becky Barnett in the 1997 film \"Boogie Nights\", and starred in a 1999 American comedy film written and directed by Kwyn Bader?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Nicole Ari Parker-Kodjoe",
"style": "rule"
}
|
{
"index": 901,
"need_tools_kwargs": true,
"question": "Who is known for her role as Becky Barnett in the 1997 film \"Boogie Nights\", and starred in a 1999 American comedy film written and directed by Kwyn Bader?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who is the spouse of the director of film Struggle For Eagle Peak?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Lillebil Ibsen",
"style": "rule"
}
|
{
"index": 902,
"need_tools_kwargs": true,
"question": "Who is the spouse of the director of film Struggle For Eagle Peak?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 actor born 17 February 1934, was part of the cast of the 1975 film Side by Side?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Barry Humphries",
"style": "rule"
}
|
{
"index": 903,
"need_tools_kwargs": true,
"question": "What actor born 17 February 1934, was part of the cast of the 1975 film Side by Side?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 vertices of a unit square, perpendiculars are erected to its plane. On them, on one side of the plane of the square, points are taken at distances of 3, 4, 6, and 5 from this plane (in order of traversal). Find the volume of the polyhedron whose vertices are the specified points and the vertices of the square.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{9}{2}",
"style": "rule"
}
|
{
"index": 904,
"need_tools_kwargs": true,
"question": "In the vertices of a unit square, perpendiculars are erected to its plane. On them, on one side of the plane of the square, points are taken at distances of 3, 4, 6, and 5 from this plane (in order of traversal). Find the volume of the polyhedron whose vertices are the specified points and the vertices of the square.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Do both films Imaginary Heroes and Meri Aawaz Suno have the directors from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 905,
"need_tools_kwargs": true,
"question": "Do both films Imaginary Heroes and Meri Aawaz Suno have the directors from the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When was the stage performer who is also was Paul Daniels wife born",
"role": "user"
}
] |
qa
|
{
"ground_truth": "31 October 1958",
"style": "rule"
}
|
{
"index": 906,
"need_tools_kwargs": true,
"question": "When was the stage performer who is also was Paul Daniels wife 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": "If \\( c \\) is the largest slope of the tangents from the point \\( A\\left(\\frac{\\sqrt{10}}{2}, \\frac{\\sqrt{10}}{2}\\right) \\) to the circle \\( C: x^{2}+y^{2}=1 \\), find the value of \\( c \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 907,
"need_tools_kwargs": true,
"question": "If \\( c \\) is the largest slope of the tangents from the point \\( A\\left(\\frac{\\sqrt{10}}{2}, \\frac{\\sqrt{10}}{2}\\right) \\) to the circle \\( C: x^{2}+y^{2}=1 \\), find the value of \\( 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": "Who is older, Pelle Almqvist or Jake Burns?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "John \"Jake\" Burns",
"style": "rule"
}
|
{
"index": 908,
"need_tools_kwargs": true,
"question": "Who is older, Pelle Almqvist or Jake Burns?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In a square $ABCD$ with side length $2$ units, $E$ is the midpoint of $AD$. A point $F$ is located on $BE$ such that $CF \\perp BE$. If the area of the quadrilateral $CDEF$ is $x$ and $x$ is multiplied by 10, what is the value of $10x$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "22",
"style": "rule"
}
|
{
"index": 909,
"need_tools_kwargs": true,
"question": "In a square $ABCD$ with side length $2$ units, $E$ is the midpoint of $AD$. A point $F$ is located on $BE$ such that $CF \\perp BE$. If the area of the quadrilateral $CDEF$ is $x$ and $x$ is multiplied by 10, what is the value of $10x$?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The sum of 9 standard dice rolled has the same probability of occurring as the sum of 20. Find the value of the sum of 9 standard dice that shares this same probability.",
"role": "user"
}
] |
math
|
{
"ground_truth": "43",
"style": "rule"
}
|
{
"index": 910,
"need_tools_kwargs": true,
"question": "The sum of 9 standard dice rolled has the same probability of occurring as the sum of 20. Find the value of the sum of 9 standard dice that shares this same probability.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 solid hemisphere with a base area of 3 and a variable thickness t, find the combined surface area W of both the interior and exterior surfaces of the hemisphere.",
"role": "user"
}
] |
math
|
{
"ground_truth": "12",
"style": "rule"
}
|
{
"index": 911,
"need_tools_kwargs": true,
"question": "Given a solid hemisphere with a base area of 3 and a variable thickness t, find the combined surface area W of both the interior and exterior surfaces of the hemisphere.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Vladimir Vasiliev (Dancer)'s wife?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "28 April 2009",
"style": "rule"
}
|
{
"index": 912,
"need_tools_kwargs": true,
"question": "What is the date of death of Vladimir Vasiliev (Dancer)'s wife?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "It is known that $x^5 = a_0 + a_1 (1+x) + a_2 (1+x)^2 + a_3 (1+x)^3 + a_4 (1+x)^4 + a_5 (1+x)^5$, find the value of $a_0 + a_2 + a_4$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "-16",
"style": "rule"
}
|
{
"index": 913,
"need_tools_kwargs": true,
"question": "It is known that $x^5 = a_0 + a_1 (1+x) + a_2 (1+x)^2 + a_3 (1+x)^3 + a_4 (1+x)^4 + a_5 (1+x)^5$, find the value of $a_0 + a_2 + a_4$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Find the area of the figure on the coordinate plane bounded by the straight lines $x = 0$, $x = 2$, and the graphs of the functions $y = \\sqrt{x^3 + 1}$ and $y = -\\sqrt[3]{x^2 + 2x}$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
|
{
"index": 914,
"need_tools_kwargs": true,
"question": "Find the area of the figure on the coordinate plane bounded by the straight lines $x = 0$, $x = 2$, and the graphs of the functions $y = \\sqrt{x^3 + 1}$ and $y = -\\sqrt[3]{x^2 + 2x}$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The sum of the first n terms of the sequence {a_n} is S_n = n^2 + n + 1, and b_n = (-1)^n a_n (n ∈ N^*). Determine the sum of the first 50 terms of the sequence {b_n}.",
"role": "user"
}
] |
math
|
{
"ground_truth": "49",
"style": "rule"
}
|
{
"index": 915,
"need_tools_kwargs": true,
"question": "The sum of the first n terms of the sequence {a_n} is S_n = n^2 + n + 1, and b_n = (-1)^n a_n (n ∈ N^*). Determine the sum of the first 50 terms of the sequence {b_n}.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In triangle \\( \\triangle ABC \\), the side lengths are \\( AC = 6 \\), \\( BC = 9 \\), and \\( \\angle C = 120^\\circ \\). Find the length of the angle bisector \\( CD \\) of \\( \\angle C \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{18}{5}",
"style": "rule"
}
|
{
"index": 916,
"need_tools_kwargs": true,
"question": "In triangle \\( \\triangle ABC \\), the side lengths are \\( AC = 6 \\), \\( BC = 9 \\), and \\( \\angle C = 120^\\circ \\). Find the length of the angle bisector \\( CD \\) of \\( \\angle 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": "John buys 1.5 ounces of silver and twice as much gold. The silver costs $20 per ounce. The gold is 50 times more expensive per ounce. How much does he spend on everything?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\$3030",
"style": "rule"
}
|
{
"index": 917,
"need_tools_kwargs": true,
"question": "John buys 1.5 ounces of silver and twice as much gold. The silver costs $20 per ounce. The gold is 50 times more expensive per ounce. How much does he spend on everything?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 St. Louis Cardinals 1998 season included a home run battle against which Haitian-Dominican slugger?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Samuel \"Maiky\" Peralta Sosa",
"style": "rule"
}
|
{
"index": 918,
"need_tools_kwargs": true,
"question": "The St. Louis Cardinals 1998 season included a home run battle against which Haitian-Dominican slugger?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 three American cities' police departments were visited by Mustafa Adebayo Balogun, Nigeria's former Inspector General of Police, and his five-man delegation to study their implementation of community policing?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Houston, Atlanta, and Chicago",
"style": "rule"
}
|
{
"index": 919,
"need_tools_kwargs": true,
"question": "Which three American cities' police departments were visited by Mustafa Adebayo Balogun, Nigeria's former Inspector General of Police, and his five-man delegation to study their implementation of community policing?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Based on what, a form of polyalphabetic substitution uses a series of interwoven Caesar ciphers for encrypting alphabetic text?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "letters of a keyword",
"style": "rule"
}
|
{
"index": 920,
"need_tools_kwargs": true,
"question": "Based on what, a form of polyalphabetic substitution uses a series of interwoven Caesar ciphers for encrypting alphabetic text?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 large equilateral triangle and a smaller equilateral triangle are constructed side by side using toothpicks. The large triangle has 100 small triangles on its base, while the smaller triangle has 50 small triangles on its base. Calculate the total number of toothpicks needed to construct both triangles, taking into account any shared boundaries.",
"role": "user"
}
] |
math
|
{
"ground_truth": "18925",
"style": "rule"
}
|
{
"index": 921,
"need_tools_kwargs": true,
"question": "A large equilateral triangle and a smaller equilateral triangle are constructed side by side using toothpicks. The large triangle has 100 small triangles on its base, while the smaller triangle has 50 small triangles on its base. Calculate the total number of toothpicks needed to construct both triangles, taking into account any shared boundaries.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Sean James, is a former American football player and activist who signed as a rookie free agent with the Minnesota Vikings, 2] Sean is the cousin of father and son Major League Baseball players Cecil Fielder and Prince Fielder, an American professional baseball first baseman and designated hitter, for which sports organization?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Texas Rangers",
"style": "rule"
}
|
{
"index": 922,
"need_tools_kwargs": true,
"question": "Sean James, is a former American football player and activist who signed as a rookie free agent with the Minnesota Vikings, 2] Sean is the cousin of father and son Major League Baseball players Cecil Fielder and Prince Fielder, an American professional baseball first baseman and designated hitter, for which sports organization?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What was the original name of the band that song \"No Smokes\" was used in an episode of the TV series \"Clangers\"?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Jaygars",
"style": "rule"
}
|
{
"index": 923,
"need_tools_kwargs": true,
"question": "What was the original name of the band that song \"No Smokes\" was used in an episode of the TV series \"Clangers\"?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 all infinite sequences $(a_1,a_2,\\dots)$ of positive integers satisfying\n\\[a_{n+1}^2=1+(n+2021)a_n\\]\nfor all $n \\ge 1$. The original answer is in the form of $(mn + k)_{n=1}^{\\infty}$, please find the value of m + k.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2020",
"style": "rule"
}
|
{
"index": 924,
"need_tools_kwargs": true,
"question": "Determine all infinite sequences $(a_1,a_2,\\dots)$ of positive integers satisfying\n\\[a_{n+1}^2=1+(n+2021)a_n\\]\nfor all $n \\ge 1$. The original answer is in the form of $(mn + k)_{n=1}^{\\infty}$, please find the value of m + k.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let the set $\\mathbf{A}=\\{1, 2, 3, 4, 5, 6\\}$ and a bijection $f: \\mathbf{A} \\rightarrow \\mathbf{A}$ satisfy the condition: for any $x \\in \\mathbf{A}$, $f(f(f(x)))=x$. Then the number of bijections $f$ satisfying the above condition is:\nA. 40\nB. 41\nC. 80\nD. 81",
"role": "user"
}
] |
math
|
{
"ground_truth": "81",
"style": "rule"
}
|
{
"index": 925,
"need_tools_kwargs": true,
"question": "Let the set $\\mathbf{A}=\\{1, 2, 3, 4, 5, 6\\}$ and a bijection $f: \\mathbf{A} \\rightarrow \\mathbf{A}$ satisfy the condition: for any $x \\in \\mathbf{A}$, $f(f(f(x)))=x$. Then the number of bijections $f$ satisfying the above condition is:\nA. 40\nB. 41\nC. 80\nD. 81",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Do both directors of films Raja (1972 Film) and Aloha, Bobby And Rose have the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 926,
"need_tools_kwargs": true,
"question": "Do both directors of films Raja (1972 Film) and Aloha, Bobby And Rose have the same nationality?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Ahmad Niyaltigin was the treasurer of a sultan who rose to power by seizing what from his younger twin?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "the Ghaznavid throne",
"style": "rule"
}
|
{
"index": 927,
"need_tools_kwargs": true,
"question": "Ahmad Niyaltigin was the treasurer of a sultan who rose to power by seizing what from his younger twin?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "There are 50 gangsters gathered in a square. They simultaneously shoot at each other, with each one aiming at the nearest person or one of the nearest people. What is the minimum possible number of deaths?",
"role": "user"
}
] |
math
|
{
"ground_truth": "10",
"style": "rule"
}
|
{
"index": 928,
"need_tools_kwargs": true,
"question": "There are 50 gangsters gathered in a square. They simultaneously shoot at each other, with each one aiming at the nearest person or one of the nearest people. What is the minimum possible number of deaths?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 2 cards from a standard deck are selected randomly, what is the probability that either two kings or at least 1 ace occurs? (There are 4 Aces, 4 kings and 52 total cards in a standard deck.)",
"role": "user"
}
] |
math
|
{
"ground_truth": "0.1538",
"style": "rule"
}
|
{
"index": 929,
"need_tools_kwargs": true,
"question": "If 2 cards from a standard deck are selected randomly, what is the probability that either two kings or at least 1 ace occurs? (There are 4 Aces, 4 kings and 52 total cards in a standard deck.)",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Kenneth K. Bechtel's father die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "August 28, 1933",
"style": "rule"
}
|
{
"index": 930,
"need_tools_kwargs": true,
"question": "When did Kenneth K. Bechtel'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": "How many records have been sold by one of the writers of \"Bachelor Boy\"?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "more than 250 million",
"style": "rule"
}
|
{
"index": 931,
"need_tools_kwargs": true,
"question": "How many records have been sold by one of the writers of \"Bachelor Boy\"?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given the following four propositions:\n① For vectors $\\overrightarrow{a}$, $\\overrightarrow{b}$, $\\overrightarrow{c}$, if $\\overrightarrow{a} \\parallel \\overrightarrow{b}$ and $\\overrightarrow{b} \\parallel \\overrightarrow{c}$, then $\\overrightarrow{a} \\parallel \\overrightarrow{c}$;\n② If the set of angles A = {$\\alpha | \\alpha = \\frac{k\\pi}{2} + \\frac{\\pi}{4}, k \\in \\mathbb{N}$}. B = {$\\beta | \\beta = k\\pi \\pm \\frac{\\pi}{4}, k \\in \\mathbb{Z}$}, then A = B;\n③ The graph of the function $y = 2^x$ has exactly 2 common points with the graph of the function $y = x^2$;\n④ Shifting the graph of the function $f(-x)$ to the right by 2 units results in the graph of $f(-x+2)$.\nThe correct propositions are \\_\\_\\_\\_\\_\\_ . (Please list all the correct proposition numbers)",
"role": "user"
}
] |
math
|
{
"ground_truth": "②④",
"style": "rule"
}
|
{
"index": 932,
"need_tools_kwargs": true,
"question": "Given the following four propositions:\n① For vectors $\\overrightarrow{a}$, $\\overrightarrow{b}$, $\\overrightarrow{c}$, if $\\overrightarrow{a} \\parallel \\overrightarrow{b}$ and $\\overrightarrow{b} \\parallel \\overrightarrow{c}$, then $\\overrightarrow{a} \\parallel \\overrightarrow{c}$;\n② If the set of angles A = {$\\alpha | \\alpha = \\frac{k\\pi}{2} + \\frac{\\pi}{4}, k \\in \\mathbb{N}$}. B = {$\\beta | \\beta = k\\pi \\pm \\frac{\\pi}{4}, k \\in \\mathbb{Z}$}, then A = B;\n③ The graph of the function $y = 2^x$ has exactly 2 common points with the graph of the function $y = x^2$;\n④ Shifting the graph of the function $f(-x)$ to the right by 2 units results in the graph of $f(-x+2)$.\nThe correct propositions are \\_\\_\\_\\_\\_\\_ . (Please list all the correct proposition numbers)",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Four numbers, 2613, 2243, 1503, and 985, when divided by the same positive integer, yield the same remainder (which is not zero). Find the divisor and the remainder.",
"role": "user"
}
] |
math
|
{
"ground_truth": "23",
"style": "rule"
}
|
{
"index": 933,
"need_tools_kwargs": true,
"question": "Four numbers, 2613, 2243, 1503, and 985, when divided by the same positive integer, yield the same remainder (which is not zero). Find the divisor and the remainder.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the cause of death of director of film Pagala Premi?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "cancer",
"style": "rule"
}
|
{
"index": 934,
"need_tools_kwargs": true,
"question": "What is the cause of death of director of film Pagala Premi?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Richard de Clair, 5th Earl of Hertford's wife's father died on what day?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "22 July 1240",
"style": "rule"
}
|
{
"index": 935,
"need_tools_kwargs": true,
"question": "Richard de Clair, 5th Earl of Hertford's wife's father died on what day?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A number is called a refined visible factor number if it is divisible by each of its non-zero digits and also by the sum of all its digits. How many refined visible factor numbers are there from 100 through 199, inclusive, with the additional constraint that all digits in the number must be unique?",
"role": "user"
}
] |
math
|
{
"ground_truth": "126, 129, 134, 146, 152, 168, 174, 186",
"style": "rule"
}
|
{
"index": 936,
"need_tools_kwargs": true,
"question": "A number is called a refined visible factor number if it is divisible by each of its non-zero digits and also by the sum of all its digits. How many refined visible factor numbers are there from 100 through 199, inclusive, with the additional constraint that all digits in the number must be unique?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 producer born on June 25, 1963 release his first song that became a UK and US number one hit? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "14 May 1984",
"style": "rule"
}
|
{
"index": 937,
"need_tools_kwargs": true,
"question": "When did the producer born on June 25, 1963 release his first song that became a UK and US number one hit? ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 1988 film in which the exterior of the abandoned W.S. Kelly gas station and general store in Cogar can be seen?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Barry Levinson",
"style": "rule"
}
|
{
"index": 938,
"need_tools_kwargs": true,
"question": "Who directed the 1988 film in which the exterior of the abandoned W.S. Kelly gas station and general store in Cogar can be seen?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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: $\\sqrt{3} \\times (\\sqrt{3}+2) - 2\\tan 60^\\circ + (-1)^{2023}$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2 + \\sqrt{3}",
"style": "rule"
}
|
{
"index": 939,
"need_tools_kwargs": true,
"question": "Calculate: $\\sqrt{3} \\times (\\sqrt{3}+2) - 2\\tan 60^\\circ + (-1)^{2023}$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where was the director of film Virsa born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Chandigarh",
"style": "rule"
}
|
{
"index": 940,
"need_tools_kwargs": true,
"question": "Where was the director of film Virsa born?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What characteristic is shared by High Times and In These Times?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "monthly magazine",
"style": "rule"
}
|
{
"index": 941,
"need_tools_kwargs": true,
"question": "What characteristic is shared by High Times and In These Times?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What was the shop visited by Gemmy Industries product development vice president Joe known for?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "stocking a wide selection",
"style": "rule"
}
|
{
"index": 942,
"need_tools_kwargs": true,
"question": "What was the shop visited by Gemmy Industries product development vice president Joe known for?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Determine the largest positive integer $n$ that divides $p^6 - 1$ for all primes $p > 7$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "504",
"style": "rule"
}
|
{
"index": 943,
"need_tools_kwargs": true,
"question": "Determine the largest positive integer $n$ that divides $p^6 - 1$ for all primes $p > 7$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the cause of death of director of film Gung Ho!?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "heart attack",
"style": "rule"
}
|
{
"index": 944,
"need_tools_kwargs": true,
"question": "What is the cause of death of director of film Gung Ho!?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "An engineer is given a fixed volume \\(V_m\\) of metal with which to construct a spherical pressure vessel. Assuming the vessel has thin walls and is always pressurized to near its bursting point, the amount of gas the vessel can contain, \\(n\\) (measured in moles), does not depend on the radius \\(r\\) of the vessel. Instead, it depends only on \\(V_m\\) (measured in \\(\\text{m}^3\\)), the temperature \\(T\\) (measured in \\(\\text{K}\\)), the ideal gas constant \\(R\\) (measured in \\(\\text{J/(K} \\cdot \\text{mol})\\)), and the tensile strength of the metal \\(\\sigma\\) (measured in \\(\\text{N/m}^2\\)). Express \\(n\\) in terms of these parameters. The original answer is in the form \\(\\frac{k}{m} \\times \\frac{V_m\\sigma}{RTn}\\). Please give the value of \\(k + m + n\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
|
{
"index": 945,
"need_tools_kwargs": true,
"question": "An engineer is given a fixed volume \\(V_m\\) of metal with which to construct a spherical pressure vessel. Assuming the vessel has thin walls and is always pressurized to near its bursting point, the amount of gas the vessel can contain, \\(n\\) (measured in moles), does not depend on the radius \\(r\\) of the vessel. Instead, it depends only on \\(V_m\\) (measured in \\(\\text{m}^3\\)), the temperature \\(T\\) (measured in \\(\\text{K}\\)), the ideal gas constant \\(R\\) (measured in \\(\\text{J/(K} \\cdot \\text{mol})\\)), and the tensile strength of the metal \\(\\sigma\\) (measured in \\(\\text{N/m}^2\\)). Express \\(n\\) in terms of these parameters. The original answer is in the form \\(\\frac{k}{m} \\times \\frac{V_m\\sigma}{RTn}\\). Please give the value of \\(k + m + n\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In how many rearrangements of the numbers $1, 2, 3, 4, 5, 6, 7, 8, 9$ do the numbers form a \\textit{hill}? A \\textit{hill} is defined as a sequence where the numbers increase to a peak and then decrease, such as in $129876543$ or $258976431$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "254",
"style": "rule"
}
|
{
"index": 946,
"need_tools_kwargs": true,
"question": "In how many rearrangements of the numbers $1, 2, 3, 4, 5, 6, 7, 8, 9$ do the numbers form a \\textit{hill}? A \\textit{hill} is defined as a sequence where the numbers increase to a peak and then decrease, such as in $129876543$ or $258976431$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "We call a number lucky if it can be expressed as the sum of positive integers whose reciprocals sum to 1. For example, $11 = 2 + 3 + 6$ and $4 = 2 + 2$ are lucky numbers because\n\n$$\n\\frac{1}{2} + \\frac{1}{3} + \\frac{1}{6} = 1 \\quad \\text{and} \\quad \\frac{1}{2} + \\frac{1}{2} = 1\n$$\n\nIs $2005$ a lucky number?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2005",
"style": "rule"
}
|
{
"index": 947,
"need_tools_kwargs": true,
"question": "We call a number lucky if it can be expressed as the sum of positive integers whose reciprocals sum to 1. For example, $11 = 2 + 3 + 6$ and $4 = 2 + 2$ are lucky numbers because\n\n$$\n\\frac{1}{2} + \\frac{1}{3} + \\frac{1}{6} = 1 \\quad \\text{and} \\quad \\frac{1}{2} + \\frac{1}{2} = 1\n$$\n\nIs $2005$ a lucky number?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Frank Ellis Boynton worked at a tourist attraction that stands today as one of the most prominent remaining examples of what?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "the Gilded Age",
"style": "rule"
}
|
{
"index": 948,
"need_tools_kwargs": true,
"question": "Frank Ellis Boynton worked at a tourist attraction that stands today as one of the most prominent remaining examples 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": "Are both Khademabad and Chahar Tall-E Mir Mohammad Fasiyeh located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 949,
"need_tools_kwargs": true,
"question": "Are both Khademabad and Chahar Tall-E Mir Mohammad Fasiyeh 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": "Car X began traveling at an average speed of 35 miles per hour. After 72 minutes, Car Y began traveling at a certain average speed. When both cars had traveled the same distance, both cars stopped. Car X traveled 490 miles from the time Car Y began traveling until both cars stopped. What was the average speed of Car Y?",
"role": "user"
}
] |
math
|
{
"ground_truth": "32.24",
"style": "rule"
}
|
{
"index": 950,
"need_tools_kwargs": true,
"question": "Car X began traveling at an average speed of 35 miles per hour. After 72 minutes, Car Y began traveling at a certain average speed. When both cars had traveled the same distance, both cars stopped. Car X traveled 490 miles from the time Car Y began traveling until both cars stopped. What was the average speed of Car 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": "In an obtuse triangle \\(ABC\\) where \\(\\angle C > 90^\\circ\\), the points \\(M\\) and \\(D\\) are defined such that \\(AM = MB\\) and \\(MD \\perp BC\\). Additionally, point \\(E\\) is on line \\(AB\\) such that \\(EC \\perp BC\\). Given that the area of triangle \\(ABC\\) is \\(24\\), calculate the area of triangle \\(BED\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "12",
"style": "rule"
}
|
{
"index": 951,
"need_tools_kwargs": true,
"question": "In an obtuse triangle \\(ABC\\) where \\(\\angle C > 90^\\circ\\), the points \\(M\\) and \\(D\\) are defined such that \\(AM = MB\\) and \\(MD \\perp BC\\). Additionally, point \\(E\\) is on line \\(AB\\) such that \\(EC \\perp BC\\). Given that the area of triangle \\(ABC\\) is \\(24\\), calculate the area of triangle \\(BED\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 William Kronick and Jon Turteltaub both television writers ?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 952,
"need_tools_kwargs": true,
"question": "Are William Kronick and Jon Turteltaub both television writers ?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Theuderic I's father?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "27 November 511",
"style": "rule"
}
|
{
"index": 953,
"need_tools_kwargs": true,
"question": "What is the date of death of Theuderic I'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": "In $\\triangle ABC$, the sides opposite to angles $A$, $B$, and $C$ are $a$, $b$, and $c$ respectively, with $C= \\dfrac {\\pi}{3}$, $b=8$. The area of $\\triangle ABC$ is $10 \\sqrt {3}$.\n(I) Find the value of $c$;\n(II) Find the value of $\\cos (B-C)$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\dfrac {13}{14}",
"style": "rule"
}
|
{
"index": 954,
"need_tools_kwargs": true,
"question": "In $\\triangle ABC$, the sides opposite to angles $A$, $B$, and $C$ are $a$, $b$, and $c$ respectively, with $C= \\dfrac {\\pi}{3}$, $b=8$. The area of $\\triangle ABC$ is $10 \\sqrt {3}$.\n(I) Find the value of $c$;\n(II) Find the value of $\\cos (B-C)$.",
"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": "(Ricky Liu) For what values of $k > 0$ is it possible to dissect a $1 \\times k$ rectangle into two similar, but incongruent, polygons?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2.61803398874989",
"style": "rule"
}
|
{
"index": 955,
"need_tools_kwargs": true,
"question": "(Ricky Liu) For what values of $k > 0$ is it possible to dissect a $1 \\times k$ rectangle into two similar, but incongruent, polygons?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 value of $k$ in the hyperbola equation $5x^{2}-ky^{2}=5$ if one of its focal points is $(2,0)$.\nA: $3$\nB: $5$\nC: $\\frac{3}{5}$\nD: $\\frac{5}{3}$",
"role": "user"
}
] |
math
|
{
"ground_truth": "k=\\frac{5}{3}",
"style": "rule"
}
|
{
"index": 956,
"need_tools_kwargs": true,
"question": "Find the value of $k$ in the hyperbola equation $5x^{2}-ky^{2}=5$ if one of its focal points is $(2,0)$.\nA: $3$\nB: $5$\nC: $\\frac{3}{5}$\nD: $\\frac{5}{3}$",
"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": "Given the three-digit number $\\mathrm{abc}$, and the conditions $a(b+c)=33$ and $b(a+c)=40$, determine this three-digit number.",
"role": "user"
}
] |
math
|
{
"ground_truth": "347",
"style": "rule"
}
|
{
"index": 957,
"need_tools_kwargs": true,
"question": "Given the three-digit number $\\mathrm{abc}$, and the conditions $a(b+c)=33$ and $b(a+c)=40$, determine this three-digit number.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The creator of The Golden Stairs is noted for creating mosaics in what century?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "19th",
"style": "rule"
}
|
{
"index": 958,
"need_tools_kwargs": true,
"question": "The creator of The Golden Stairs is noted for creating mosaics in what century?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "For how many primes \\( p \\), there exist unique integers \\( r \\) and \\( s \\) such that for every integer \\( x \\), the congruence \\( x^{3} - x + 2 \\equiv (x - r)^{2} (x - s) \\pmod{p} \\) holds? Find the number of such primes.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 959,
"need_tools_kwargs": true,
"question": "For how many primes \\( p \\), there exist unique integers \\( r \\) and \\( s \\) such that for every integer \\( x \\), the congruence \\( x^{3} - x + 2 \\equiv (x - r)^{2} (x - s) \\pmod{p} \\) holds? Find the number of such primes.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 3 companies were housed in the tallest building in New York until 1931?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Forhan's toothpaste and antiseptic, Argyrol, and Larvex.",
"style": "rule"
}
|
{
"index": 960,
"need_tools_kwargs": true,
"question": "What 3 companies were housed in the tallest building in New York until 1931?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 girl group that the host of the Nickelodeon Australian Kids' Choice Awards 2006 was a member of?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Bardot",
"style": "rule"
}
|
{
"index": 961,
"need_tools_kwargs": true,
"question": "What is the name of the girl group that the host of the Nickelodeon Australian Kids' Choice Awards 2006 was a member of?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "By the first of September, Vlad bought several ballpoint and gel pens. He noticed that if all the purchased pens were gel pens, he would have paid 4 times more than he actually did. Conversely, if all the pens were ballpoint pens, the purchase would have cost him half of the actual amount. How many times more expensive is a gel pen compared to a ballpoint pen?",
"role": "user"
}
] |
math
|
{
"ground_truth": "8",
"style": "rule"
}
|
{
"index": 962,
"need_tools_kwargs": true,
"question": "By the first of September, Vlad bought several ballpoint and gel pens. He noticed that if all the purchased pens were gel pens, he would have paid 4 times more than he actually did. Conversely, if all the pens were ballpoint pens, the purchase would have cost him half of the actual amount. How many times more expensive is a gel pen compared to a ballpoint pen?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 matrix for projecting onto a certain line $\\ell,$ which passes through the origin, is given by\n\\[\\renewcommand{\\arraystretch}{1.5} \\begin{pmatrix} \\frac{2}{15} & -\\frac{1}{15} & -\\frac{1}{3} \\\\ -\\frac{1}{15} & \\frac{1}{30} & \\frac{1}{6} \\\\ -\\frac{1}{3} & \\frac{1}{6} & \\frac{5}{6} \\end{pmatrix} \\renewcommand{\\arraystretch}{1}.\\]Find the direction vector of line $\\ell.$ Enter your answer in the form $\\begin{pmatrix} a \\\\ b \\\\ c \\end{pmatrix},$ where $a,$ $b,$ and $c$ are integers, $a > 0,$ and $\\gcd(|a|,|b|,|c|) = 1.$",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\begin{pmatrix} 2 \\\\ -1 \\\\ -5 \\end{pmatrix}",
"style": "rule"
}
|
{
"index": 963,
"need_tools_kwargs": true,
"question": "The matrix for projecting onto a certain line $\\ell,$ which passes through the origin, is given by\n\\[\\renewcommand{\\arraystretch}{1.5} \\begin{pmatrix} \\frac{2}{15} & -\\frac{1}{15} & -\\frac{1}{3} \\\\ -\\frac{1}{15} & \\frac{1}{30} & \\frac{1}{6} \\\\ -\\frac{1}{3} & \\frac{1}{6} & \\frac{5}{6} \\end{pmatrix} \\renewcommand{\\arraystretch}{1}.\\]Find the direction vector of line $\\ell.$ Enter your answer in the form $\\begin{pmatrix} a \\\\ b \\\\ c \\end{pmatrix},$ where $a,$ $b,$ and $c$ are integers, $a > 0,$ and $\\gcd(|a|,|b|,|c|) = 1.$",
"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": "Find the sum of all integers $k$ such that $\\binom{24}{4} + \\binom{24}{5} = \\binom{25}{k}$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "k = 5 + 20 = 25",
"style": "rule"
}
|
{
"index": 964,
"need_tools_kwargs": true,
"question": "Find the sum of all integers $k$ such that $\\binom{24}{4} + \\binom{24}{5} = \\binom{25}{k}$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $\\frac 1p$ -array is a structured, infinite, collection of numbers. For example, a $\\frac 13$ -array is constructed as follows:\n\\begin{align*} 1 \\qquad \\frac 13\\,\\ \\qquad \\frac 19\\,\\ \\qquad \\frac 1{27} \\qquad &\\cdots\\\\ \\frac 16 \\qquad \\frac 1{18}\\,\\ \\qquad \\frac{1}{54} \\qquad &\\cdots\\\\ \\frac 1{36} \\qquad \\frac 1{108} \\qquad &\\cdots\\\\ \\frac 1{216} \\qquad &\\cdots\\\\ &\\ddots \\end{align*}\nIn general, the first entry of each row is $\\frac{1}{2p}$ times the first entry of the previous row. Then, each succeeding term in a row is $\\frac 1p$ times the previous term in the same row. If the sum of all the terms in a $\\frac{1}{2008}$ -array can be written in the form $\\frac mn$, where $m$ and $n$ are relatively prime positive integers, find the remainder when $m+n$ is divided by $2008$.\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"index": 965,
"need_tools_kwargs": true,
"question": "A $\\frac 1p$ -array is a structured, infinite, collection of numbers. For example, a $\\frac 13$ -array is constructed as follows:\n\\begin{align*} 1 \\qquad \\frac 13\\,\\ \\qquad \\frac 19\\,\\ \\qquad \\frac 1{27} \\qquad &\\cdots\\\\ \\frac 16 \\qquad \\frac 1{18}\\,\\ \\qquad \\frac{1}{54} \\qquad &\\cdots\\\\ \\frac 1{36} \\qquad \\frac 1{108} \\qquad &\\cdots\\\\ \\frac 1{216} \\qquad &\\cdots\\\\ &\\ddots \\end{align*}\nIn general, the first entry of each row is $\\frac{1}{2p}$ times the first entry of the previous row. Then, each succeeding term in a row is $\\frac 1p$ times the previous term in the same row. If the sum of all the terms in a $\\frac{1}{2008}$ -array can be written in the form $\\frac mn$, where $m$ and $n$ are relatively prime positive integers, find the remainder when $m+n$ is divided by $2008$.\n",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given \\( a \\in \\mathbf{Z} \\), and \\( x^{6} - 33x + 20 \\) is divisible by \\( x^{2} - x + a \\), determine the value of \\( a \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"index": 966,
"need_tools_kwargs": true,
"question": "Given \\( a \\in \\mathbf{Z} \\), and \\( x^{6} - 33x + 20 \\) is divisible by \\( x^{2} - x + a \\), determine the value of \\( a \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The Love Machines stars an actor born in 1926, known for his nightclub performances in what city?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Las Vegas",
"style": "rule"
}
|
{
"index": 967,
"need_tools_kwargs": true,
"question": "The Love Machines stars an actor born in 1926, known for his nightclub performances in what city?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Suppose $P(x) = x^{2016} + a_{2015}x^{2015} + \\ldots + a_1x + a_0$ satisfies the equation $P(x)P(2x + 1) = P(-x)P(-2x - 1)$ for all $x \\in \\mathbb{R}$. Find the sum of all possible values of $a_{2015}$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "0",
"style": "rule"
}
|
{
"index": 968,
"need_tools_kwargs": true,
"question": "Suppose $P(x) = x^{2016} + a_{2015}x^{2015} + \\ldots + a_1x + a_0$ satisfies the equation $P(x)P(2x + 1) = P(-x)P(-2x - 1)$ for all $x \\in \\mathbb{R}$. Find the sum of all possible values of $a_{2015}$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Why did the director of film Song Of The Open Road die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "heart attack",
"style": "rule"
}
|
{
"index": 969,
"need_tools_kwargs": true,
"question": "Why did the director of film Song Of The Open Road 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": "When is the composer of film Thangaikkor Geetham 's birthday?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "9 May 1955",
"style": "rule"
}
|
{
"index": 970,
"need_tools_kwargs": true,
"question": "When is the composer of film Thangaikkor Geetham 's birthday?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "One of the members of Dru Hill is nicknamed after which cartoon character?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Woody Woodpecker",
"style": "rule"
}
|
{
"index": 971,
"need_tools_kwargs": true,
"question": "One of the members of Dru Hill is nicknamed after which cartoon character?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Mok Ying Ren is a triathlete and long-distance runner from Singapore, at National University of Singapore, he was a full-time student of what?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "medical school",
"style": "rule"
}
|
{
"index": 972,
"need_tools_kwargs": true,
"question": "Mok Ying Ren is a triathlete and long-distance runner from Singapore, at National University of Singapore, he was a full-time student 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": "What festivals feature music of genres that are produced by artists such as Bakermat?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "summer festivals such as Tomorrowland",
"style": "rule"
}
|
{
"index": 973,
"need_tools_kwargs": true,
"question": "What festivals feature music of genres that are produced by artists such as Bakermat?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $ABC$ , $\\tan \\angle CAB = 22/7$ , and the altitude from $A$ divides $BC$ into segments of length $3$ and $17$ . What is the area of triangle $ABC$ ?",
"role": "user"
}
] |
math
|
{
"ground_truth": "110",
"style": "rule"
}
|
{
"index": 974,
"need_tools_kwargs": true,
"question": "In triangle $ABC$ , $\\tan \\angle CAB = 22/7$ , and the altitude from $A$ divides $BC$ into segments of length $3$ and $17$ . What is the area of triangle $ABC$ ?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who wrote and directed the film which critics have noted to have similarities with the 1999 crime action film, Ghost Dog: The Way of the Samurai?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Jean-Pierre Melville",
"style": "rule"
}
|
{
"index": 975,
"need_tools_kwargs": true,
"question": "Who wrote and directed the film which critics have noted to have similarities with the 1999 crime action film, Ghost Dog: The Way of the Samurai?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "称 \\bN_+ 的一个子集 A 是\"无和集\"，如果对任意 x,y\\in A（允许相同），x+y\\not\\in A。求所有的满射 f:\\bN_+\\rightarrow\\bN_+，使得对任意无和集 A，它的像 \\{f(a)\\ |\\ a\\in A\\} 也是无和集。原始答案的形式是 f(n) = mn + n，请给出 m 的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "0",
"style": "rule"
}
|
{
"index": 976,
"need_tools_kwargs": true,
"question": "称 \\bN_+ 的一个子集 A 是\"无和集\"，如果对任意 x,y\\in A（允许相同），x+y\\not\\in A。求所有的满射 f:\\bN_+\\rightarrow\\bN_+，使得对任意无和集 A，它的像 \\{f(a)\\ |\\ a\\in A\\} 也是无和集。原始答案的形式是 f(n) = mn + n，请给出 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": "Solve\n\\[\\frac{x + 6}{x^2 + 2x + 7} \\ge 0.\\]Enter your answer using interval notation.",
"role": "user"
}
] |
math
|
{
"ground_truth": "[-6,\\infty)",
"style": "rule"
}
|
{
"index": 977,
"need_tools_kwargs": true,
"question": "Solve\n\\[\\frac{x + 6}{x^2 + 2x + 7} \\ge 0.\\]Enter your answer using interval notation.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 rectangular coordinate system $(xOy)$, the parametric equations of the curve $C_{1}$ are given by $\\begin{cases} x=2\\cos \\alpha \\\\ y=2+2\\sin \\alpha \\end{cases}$ ($\\alpha$ is the parameter). Point $M$ moves on curve $C_{1}$, and point $P$ satisfies $\\overrightarrow{OP}=2\\overrightarrow{OM}$. The trajectory of point $P$ forms the curve $C_{2}$.\n\n(I) Find the equation of $C_{2}$;\n\n(II) In the polar coordinate system with $O$ as the pole and the positive semi-axis of $x$ as the polar axis, the ray $\\theta = \\dfrac{\\pi}{3}$ intersects $C_{1}$ at point $A$ and $C_{2}$ at point $B$. Find the length of the segment $|AB|$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2 \\sqrt{3}",
"style": "rule"
}
|
{
"index": 978,
"need_tools_kwargs": true,
"question": "In the rectangular coordinate system $(xOy)$, the parametric equations of the curve $C_{1}$ are given by $\\begin{cases} x=2\\cos \\alpha \\\\ y=2+2\\sin \\alpha \\end{cases}$ ($\\alpha$ is the parameter). Point $M$ moves on curve $C_{1}$, and point $P$ satisfies $\\overrightarrow{OP}=2\\overrightarrow{OM}$. The trajectory of point $P$ forms the curve $C_{2}$.\n\n(I) Find the equation of $C_{2}$;\n\n(II) In the polar coordinate system with $O$ as the pole and the positive semi-axis of $x$ as the polar axis, the ray $\\theta = \\dfrac{\\pi}{3}$ intersects $C_{1}$ at point $A$ and $C_{2}$ at point $B$. Find the length of the segment $|AB|$.",
"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": "How is the battle represented in the game Cemetery Hill often described?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "the war's turning point",
"style": "rule"
}
|
{
"index": 979,
"need_tools_kwargs": true,
"question": "How is the battle represented in the game Cemetery Hill often described?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Adorable Cheat?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American",
"style": "rule"
}
|
{
"index": 980,
"need_tools_kwargs": true,
"question": "What nationality is the director of film The Adorable Cheat?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Cara is sitting at a circular table with her seven friends. Two of her friends, Alice and Bob, insist on sitting together but not next to Cara. How many different possible pairs of people could Cara be sitting between?",
"role": "user"
}
] |
math
|
{
"ground_truth": "10",
"style": "rule"
}
|
{
"index": 981,
"need_tools_kwargs": true,
"question": "Cara is sitting at a circular table with her seven friends. Two of her friends, Alice and Bob, insist on sitting together but not next to Cara. How many different possible pairs of people could Cara be sitting between?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "You want to sort the numbers $5, 4, 3, 2, 1$ using block moves. In other words, you can take any set of numbers that appear consecutively and put them back in at any spot as a block. For example, moving the block $6, 5, 3$ from $6, 5, 3, 4, 2, 1$ to $4, 2, 6, 5, 3, 1$ is a valid block move for 6 numbers. What is the minimum number of block moves necessary to get the sequence $1, 2, 3, 4, 5$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"index": 982,
"need_tools_kwargs": true,
"question": "You want to sort the numbers $5, 4, 3, 2, 1$ using block moves. In other words, you can take any set of numbers that appear consecutively and put them back in at any spot as a block. For example, moving the block $6, 5, 3$ from $6, 5, 3, 4, 2, 1$ to $4, 2, 6, 5, 3, 1$ is a valid block move for 6 numbers. What is the minimum number of block moves necessary to get the sequence $1, 2, 3, 4, 5$?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "On the edges \\(AB\\), \\(BC\\), and \\(AD\\) of the tetrahedron \\(ABCD\\), points \\(K\\), \\(N\\), and \\(M\\) are chosen, respectively, such that \\(AK:KB = BN:NC = 2:1\\) and \\(AM:MD = 3:1\\). Construct the section of the tetrahedron by the plane passing through points \\(K\\), \\(M\\), and \\(N\\). In what ratio does this plane divide edge \\(CD\\)?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4:3",
"style": "rule"
}
|
{
"index": 983,
"need_tools_kwargs": true,
"question": "On the edges \\(AB\\), \\(BC\\), and \\(AD\\) of the tetrahedron \\(ABCD\\), points \\(K\\), \\(N\\), and \\(M\\) are chosen, respectively, such that \\(AK:KB = BN:NC = 2:1\\) and \\(AM:MD = 3:1\\). Construct the section of the tetrahedron by the plane passing through points \\(K\\), \\(M\\), and \\(N\\). In what ratio does this plane divide edge \\(CD\\)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 2006 King of the Ring tournamentAmerican professional wrestler and former professional mixed martial artist, professional football player and amateur wrestler who is currently signed with WWE?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Brock Edward Lesnar",
"style": "rule"
}
|
{
"index": 984,
"need_tools_kwargs": true,
"question": "The 2006 King of the Ring tournamentAmerican professional wrestler and former professional mixed martial artist, professional football player and amateur wrestler who is currently signed with WWE?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Kieran Collins played at this stadium that is under lease from the NSW Government?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Sydney Showground Stadium",
"style": "rule"
}
|
{
"index": 985,
"need_tools_kwargs": true,
"question": "Kieran Collins played at this stadium that is under lease from the NSW Government?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Consider a triangle \\(ABC\\) where \\(\\angle ACB = 120^\\circ\\). Let \\(A'\\), \\(B'\\), and \\(C'\\) be the points of intersection of the angle bisectors through points \\(A\\), \\(B\\), and \\(C\\) with the opposite sides, respectively. Determine the measure of the angle \\(\\angle A'C'B'\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "90",
"style": "rule"
}
|
{
"index": 986,
"need_tools_kwargs": true,
"question": "Consider a triangle \\(ABC\\) where \\(\\angle ACB = 120^\\circ\\). Let \\(A'\\), \\(B'\\), and \\(C'\\) be the points of intersection of the angle bisectors through points \\(A\\), \\(B\\), and \\(C\\) with the opposite sides, respectively. Determine the measure of the angle \\(\\angle A'C'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": "The football award given to college football's most outstanding tight end is named for a player who played for which university?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Syracuse University",
"style": "rule"
}
|
{
"index": 987,
"need_tools_kwargs": true,
"question": "The football award given to college football's most outstanding tight end is named for a player who played for which university?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which country the composer of film Ekk Deewana Tha is from?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "India",
"style": "rule"
}
|
{
"index": 988,
"need_tools_kwargs": true,
"question": "Which country the composer of film Ekk Deewana Tha is from?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Find all integers \\( k \\geq 1 \\) such that there exists a pair of integers \\( (n, m) \\) for which \\( 9n^6 = 2^k + 5m^2 + 2 \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"index": 989,
"need_tools_kwargs": true,
"question": "Find all integers \\( k \\geq 1 \\) such that there exists a pair of integers \\( (n, m) \\) for which \\( 9n^6 = 2^k + 5m^2 + 2 \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given $f(x)=ax^3-3x^2+1 $, if $f(x)$ has a unique zero point $(x_0)$, and $(x_0 > 0)$, then the range of $a$ is $(\\underline{\\quad\\quad})$.\n\nA: $(2,+\\infty)$\nB: $\\left( -\\infty ,-2 \\right)$\nC: $\\left( 1,+\\infty \\right)$\nD: $(-\\infty,1)$",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\left( -\\infty ,-2 \\right)",
"style": "rule"
}
|
{
"index": 990,
"need_tools_kwargs": true,
"question": "Given $f(x)=ax^3-3x^2+1 $, if $f(x)$ has a unique zero point $(x_0)$, and $(x_0 > 0)$, then the range of $a$ is $(\\underline{\\quad\\quad})$.\n\nA: $(2,+\\infty)$\nB: $\\left( -\\infty ,-2 \\right)$\nC: $\\left( 1,+\\infty \\right)$\nD: $(-\\infty,1)$",
"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": "In 2010, what was the census of the town in which Marjorie Spock passed away in. ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1,236",
"style": "rule"
}
|
{
"index": 991,
"need_tools_kwargs": true,
"question": "In 2010, what was the census of the town in which Marjorie Spock passed away 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": "A circle is inscribed in an angle with vertex \\( A \\), touching the sides of the angle at points \\( B \\) and \\( C \\). A line passing through \\( A \\) intersects the circle at points \\( D \\) and \\( E \\). The chord \\( B X \\) is parallel to the line \\( D E \\). In what ratio does the line \\( X C \\) divide the chord \\( D E \\)?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"index": 992,
"need_tools_kwargs": true,
"question": "A circle is inscribed in an angle with vertex \\( A \\), touching the sides of the angle at points \\( B \\) and \\( C \\). A line passing through \\( A \\) intersects the circle at points \\( D \\) and \\( E \\). The chord \\( B X \\) is parallel to the line \\( D E \\). In what ratio does the line \\( X C \\) divide the chord \\( D E \\)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Bert left the house with $41.99. He spent 1/3 of this at the hardware store, then some amount at the dry cleaners, and then half of what was left at the grocery store. When he got home, he had $10.50 left in his pocket. How much did he spend at the dry cleaners?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\$6.99",
"style": "rule"
}
|
{
"index": 993,
"need_tools_kwargs": true,
"question": "Bert left the house with $41.99. He spent 1/3 of this at the hardware store, then some amount at the dry cleaners, and then half of what was left at the grocery store. When he got home, he had $10.50 left in his pocket. How much did he spend at the dry cleaners?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Consecutive odd numbers are grouped as follows: $1 ;(3,5) ;(7,9,11) ;(13, 15, 17, 19) ; \\ldots$. Find the sum of the numbers in the $n$-th group.",
"role": "user"
}
] |
math
|
{
"ground_truth": "n^3",
"style": "rule"
}
|
{
"index": 994,
"need_tools_kwargs": true,
"question": "Consecutive odd numbers are grouped as follows: $1 ;(3,5) ;(7,9,11) ;(13, 15, 17, 19) ; \\ldots$. Find the sum of the numbers in the $n$-th group.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Jack goes up three flights of stairs, then down six flights of stairs. Each flight of stairs has a certain number of steps that are each 8 inches high. Jack is 24 feet further down than when he started. How many steps are in each flight of stairs?",
"role": "user"
}
] |
math
|
{
"ground_truth": "108",
"style": "rule"
}
|
{
"index": 995,
"need_tools_kwargs": true,
"question": "Jack goes up three flights of stairs, then down six flights of stairs. Each flight of stairs has a certain number of steps that are each 8 inches high. Jack is 24 feet further down than when he started. How many steps are in each flight of stairs?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $a_0=5/2$ and $a_k=a^2_{k-1}-2$ for $k\\geq1.$ Compute\n\n$$\\prod\\limits_{k=0}^{\\infty}\\left(1-\\frac{1}{a_k}\\right)$$\n\nin closed form.The answer is in the form \\frac{m}{n}, where gcd(m, n) = 1. Please provide the value of m + n.",
"role": "user"
}
] |
math
|
{
"ground_truth": "10",
"style": "rule"
}
|
{
"index": 996,
"need_tools_kwargs": true,
"question": "Let $a_0=5/2$ and $a_k=a^2_{k-1}-2$ for $k\\geq1.$ Compute\n\n$$\\prod\\limits_{k=0}^{\\infty}\\left(1-\\frac{1}{a_k}\\right)$$\n\nin closed form.The answer is in the form \\frac{m}{n}, where gcd(m, n) = 1. Please provide the value of m + n.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When was the presenter of Caribbean'S Next Top Model born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "4 October 1972",
"style": "rule"
}
|
{
"index": 997,
"need_tools_kwargs": true,
"question": "When was the presenter of Caribbean'S Next Top Model 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": "Consider a pyramid \\(OABCD\\) with a square base \\(ABCD\\) and congruent edges \\(\\overline{OA}, \\overline{OB}, \\overline{OC},\\) and \\(\\overline{OD}\\). The angle \\(\\angle AOB\\) measures \\(45^\\circ\\). Let \\(\\theta\\) represent the dihedral angle formed by the faces \\(OAB\\) and \\(OBC\\). If it is given that \\(\\cos \\theta = m + \\sqrt{n}\\), where \\(m\\) and \\(n\\) are integers, determine the sum \\(m+n\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
|
{
"index": 998,
"need_tools_kwargs": true,
"question": "Consider a pyramid \\(OABCD\\) with a square base \\(ABCD\\) and congruent edges \\(\\overline{OA}, \\overline{OB}, \\overline{OC},\\) and \\(\\overline{OD}\\). The angle \\(\\angle AOB\\) measures \\(45^\\circ\\). Let \\(\\theta\\) represent the dihedral angle formed by the faces \\(OAB\\) and \\(OBC\\). If it is given that \\(\\cos \\theta = m + \\sqrt{n}\\), where \\(m\\) and \\(n\\) are integers, determine the sum \\(m+n\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "For positive integers $n,$ let $\\tau (n)$ denote the number of positive divisors of $n,$ including 1 and $n.$ Define $S(n)$ by $S(n)=\\tau(1)+ \\tau(2) + \\cdots + \\tau(n).$ Let $a$ denote the number of positive integers $n \\leq 2500$ with $S(n)$ odd, and let $b$ denote the number of positive integers $n \\leq 2500$ with $S(n)$ even. Find $|a-b|.$",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"index": 999,
"need_tools_kwargs": true,
"question": "For positive integers $n,$ let $\\tau (n)$ denote the number of positive divisors of $n,$ including 1 and $n.$ Define $S(n)$ by $S(n)=\\tau(1)+ \\tau(2) + \\cdots + \\tau(n).$ Let $a$ denote the number of positive integers $n \\leq 2500$ with $S(n)$ odd, and let $b$ denote the number of positive integers $n \\leq 2500$ with $S(n)$ even. Find $|a-b|.$",
"split": "train"
}
| null |
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