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": "While Alice in Wonderland is a film directed by Tim Burton, who made the film Johnny Tremain?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Walt Disney Productions",
"style": "rule"
}
|
{
"index": 8400,
"need_tools_kwargs": true,
"question": "While Alice in Wonderland is a film directed by Tim Burton, who made the film Johnny Tremain?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Trapezoid $ABCD$ has parallel sides $\\overline{AB}$ of length $33$ and $\\overline {CD}$ of length $21$. The other two sides are of lengths $10$ and $14$. The angles $A$ and $B$ are acute. What is the length of the shorter diagonal of $ABCD$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "25",
"style": "rule"
}
|
{
"index": 8401,
"need_tools_kwargs": true,
"question": "Trapezoid $ABCD$ has parallel sides $\\overline{AB}$ of length $33$ and $\\overline {CD}$ of length $21$. The other two sides are of lengths $10$ and $14$. The angles $A$ and $B$ are acute. What is the length of the shorter diagonal of $ABCD$?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In the cartesian coordinate system $(xOy)$, the parametric equation of line $l$ is given by $ \\begin{cases} x=t\\cos \\alpha \\\\ y=-2+t\\sin \\alpha \\end{cases} (t\\text{ is a parameter}) $. The points where line $l$ intersects the two coordinate axes are $A$ and $B$, respectively. With $O$ as the pole and the positive half of the $x$-axis as the polar axis, establish a polar coordinate system. The semi-circle $C$ has a polar coordinate equation of $ρ=2\\sin θ$, where $θ∈(\\frac{π}{4},\\frac{3π}{4})$. The center of the semi-circle $C$ is $C$.\n(I) Find the general equation of line $l$ and the parametric equation of semi-circle $C$;\n(II) If point $D$ is on semi-circle $C$, and the acute angle formed by line $CD$ is $2α$, with the area of $△ABD$ being $4$, find the cartesian coordinates of point $D$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "D(0,2)",
"style": "rule"
}
|
{
"index": 8402,
"need_tools_kwargs": true,
"question": "In the cartesian coordinate system $(xOy)$, the parametric equation of line $l$ is given by $ \\begin{cases} x=t\\cos \\alpha \\\\ y=-2+t\\sin \\alpha \\end{cases} (t\\text{ is a parameter}) $. The points where line $l$ intersects the two coordinate axes are $A$ and $B$, respectively. With $O$ as the pole and the positive half of the $x$-axis as the polar axis, establish a polar coordinate system. The semi-circle $C$ has a polar coordinate equation of $ρ=2\\sin θ$, where $θ∈(\\frac{π}{4},\\frac{3π}{4})$. The center of the semi-circle $C$ is $C$.\n(I) Find the general equation of line $l$ and the parametric equation of semi-circle $C$;\n(II) If point $D$ is on semi-circle $C$, and the acute angle formed by line $CD$ is $2α$, with the area of $△ABD$ being $4$, find the cartesian coordinates of point $D$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Are the directors of films The Woman In Black (2012 Film) and Anurodh both from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 8403,
"need_tools_kwargs": true,
"question": "Are the directors of films The Woman In Black (2012 Film) and Anurodh both from the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "How many children did actress Camille Clifford have with her second husband, Captain John Meredyth Jones-Evans?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"index": 8404,
"need_tools_kwargs": true,
"question": "How many children did actress Camille Clifford have with her second husband, Captain John Meredyth Jones-Evans?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Determine how many of the fractions \\( \\frac{1}{2023}, \\frac{2}{2023}, \\frac{3}{2023}, \\ldots, \\frac{2022}{2023} \\) simplify to a fraction whose denominator is prime.",
"role": "user"
}
] |
math
|
{
"ground_truth": "22",
"style": "rule"
}
|
{
"index": 8405,
"need_tools_kwargs": true,
"question": "Determine how many of the fractions \\( \\frac{1}{2023}, \\frac{2}{2023}, \\frac{3}{2023}, \\ldots, \\frac{2022}{2023} \\) simplify to a fraction whose denominator is prime.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 sets $A=\\{0,1,a^{2}\\}$ and $B=\\{1,0,2a+3\\}$, if $A=B$, then the real number $a$ is ______.",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 8406,
"need_tools_kwargs": true,
"question": "Given sets $A=\\{0,1,a^{2}\\}$ and $B=\\{1,0,2a+3\\}$, if $A=B$, then the real number $a$ is ______.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where does Julie Nixon Eisenhower's husband work at?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "University of Pennsylvania",
"style": "rule"
}
|
{
"index": 8407,
"need_tools_kwargs": true,
"question": "Where does Julie Nixon Eisenhower's husband work at?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which American musician was born first, Micky Dolenz or Chris Robinson?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "George Michael Dolenz, Jr.",
"style": "rule"
}
|
{
"index": 8408,
"need_tools_kwargs": true,
"question": "Which American musician was born first, Micky Dolenz or Chris Robinson?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given an arithmetic sequence $\\{a_n\\}$, where $a_1 = 29$ and $S_{10} = S_{20}$, find the maximum value of the sum of the first $n$ terms of this sequence.",
"role": "user"
}
] |
math
|
{
"ground_truth": "960",
"style": "rule"
}
|
{
"index": 8409,
"need_tools_kwargs": true,
"question": "Given an arithmetic sequence $\\{a_n\\}$, where $a_1 = 29$ and $S_{10} = S_{20}$, find the maximum value of the sum of the first $n$ terms of this sequence.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Find the maximum real number \\( k \\) such that for any simple graph \\( G \\) with \\( n \\) vertices (\\( n \\geq 3 \\)), the inequality \\( x^3 \\geq k y^2 \\) holds, where \\( x \\) is the number of edges of \\( G \\) and \\( y \\) is the number of triangles in \\( G \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{9}{2}",
"style": "rule"
}
|
{
"index": 8410,
"need_tools_kwargs": true,
"question": "Find the maximum real number \\( k \\) such that for any simple graph \\( G \\) with \\( n \\) vertices (\\( n \\geq 3 \\)), the inequality \\( x^3 \\geq k y^2 \\) holds, where \\( x \\) is the number of edges of \\( G \\) and \\( y \\) is the number of triangles in \\( G \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 triangle \\( ABC \\) with angles \\( \\angle A = 60^{\\circ} \\), \\( \\angle B = 75^{\\circ} \\), and \\( \\angle C = 45^{\\circ} \\). Let \\( H \\) be the orthocenter, \\( O \\) be the circumcenter, \\( F \\) be the midpoint of side \\( AB \\), and \\( Q \\) be the foot of the perpendicular from \\( B \\) onto \\( AC \\). Denote by \\( X \\) the intersection point of the lines \\( FH \\) and \\( QO \\). Determine the ratio of the length of \\( FX \\) to the circumradius \\( R \\) of the triangle, and express this ratio in the form \\( \\frac{a + b \\sqrt{c}}{d} \\). Then, calculate the value of \\( 1000a + 100b + 10c + d \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "1132",
"style": "rule"
}
|
{
"index": 8411,
"need_tools_kwargs": true,
"question": "Consider triangle \\( ABC \\) with angles \\( \\angle A = 60^{\\circ} \\), \\( \\angle B = 75^{\\circ} \\), and \\( \\angle C = 45^{\\circ} \\). Let \\( H \\) be the orthocenter, \\( O \\) be the circumcenter, \\( F \\) be the midpoint of side \\( AB \\), and \\( Q \\) be the foot of the perpendicular from \\( B \\) onto \\( AC \\). Denote by \\( X \\) the intersection point of the lines \\( FH \\) and \\( QO \\). Determine the ratio of the length of \\( FX \\) to the circumradius \\( R \\) of the triangle, and express this ratio in the form \\( \\frac{a + b \\sqrt{c}}{d} \\). Then, calculate the value of \\( 1000a + 100b + 10c + d \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 other Disney film did the writer of the song performed by singer Idina Menzel in her vocal role as Queen Elsa contribute to?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "\"Winnie the Pooh\"",
"style": "rule"
}
|
{
"index": 8412,
"need_tools_kwargs": true,
"question": "What other Disney film did the writer of the song performed by singer Idina Menzel in her vocal role as Queen Elsa contribute to?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 is the main building of the rebuilt structure that was the subject of the Impending Death located in?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Lower Manhattan, New York City",
"style": "rule"
}
|
{
"index": 8413,
"need_tools_kwargs": true,
"question": "Where is the main building of the rebuilt structure that was the subject of the Impending Death located in?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Michaella McCollum Connolly, part of the Peru Two, was from what Irish county?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "County Tyrone",
"style": "rule"
}
|
{
"index": 8414,
"need_tools_kwargs": true,
"question": "Michaella McCollum Connolly, part of the Peru Two, was from what Irish county?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Andrew and Jeremy Get Married and Without the King are both what?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "documentary film",
"style": "rule"
}
|
{
"index": 8415,
"need_tools_kwargs": true,
"question": "Andrew and Jeremy Get Married and Without the King are both what?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A fly trapped inside a cubical box with side length \\(1\\) meter decides to relieve its boredom by visiting each corner of the box. It will begin and end in the same corner and visit each of the other corners exactly once. To get from a corner to any other corner, it will either fly or crawl in a straight line. The maximum possible length of its path is in the form of \\(k\\sqrt{2} + m\\sqrt{3}\\). Please find the value of \\(k + m\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "8",
"style": "rule"
}
|
{
"index": 8416,
"need_tools_kwargs": true,
"question": "A fly trapped inside a cubical box with side length \\(1\\) meter decides to relieve its boredom by visiting each corner of the box. It will begin and end in the same corner and visit each of the other corners exactly once. To get from a corner to any other corner, it will either fly or crawl in a straight line. The maximum possible length of its path is in the form of \\(k\\sqrt{2} + m\\sqrt{3}\\). Please find the value of \\(k + m\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Do the movies Bruce Lee Fights Back From The Grave and Wasted On The Young, originate from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 8417,
"need_tools_kwargs": true,
"question": "Do the movies Bruce Lee Fights Back From The Grave and Wasted On The Young, originate from the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What documentary did the environmental writer for The Guardian work on?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "The Planet",
"style": "rule"
}
|
{
"index": 8418,
"need_tools_kwargs": true,
"question": "What documentary did the environmental writer for The Guardian work on?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What nationality is the performer of song Poor Boy (Elvis Presley Song)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American",
"style": "rule"
}
|
{
"index": 8419,
"need_tools_kwargs": true,
"question": "What nationality is the performer of song Poor Boy (Elvis Presley Song)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where was the director of film Four Stars (1967 Film) born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Pittsburgh",
"style": "rule"
}
|
{
"index": 8420,
"need_tools_kwargs": true,
"question": "Where was the director of film Four Stars (1967 Film) born?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given the sets $A=\\{x|x^{2}-5x-6 < 0\\}$, $B=\\{x|6x^{2}-5x+1\\geqslant 0\\}$, and $C=\\{x| \\frac {x-m}{x-m-9} < 0\\}$,\n(1) Find $A\\cap B$;\n(2) If $A\\cup C=C$, find the range of values for the real number $m$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\{m|-3\\leqslant m\\leqslant -1\\}",
"style": "rule"
}
|
{
"index": 8421,
"need_tools_kwargs": true,
"question": "Given the sets $A=\\{x|x^{2}-5x-6 < 0\\}$, $B=\\{x|6x^{2}-5x+1\\geqslant 0\\}$, and $C=\\{x| \\frac {x-m}{x-m-9} < 0\\}$,\n(1) Find $A\\cap B$;\n(2) If $A\\cup C=C$, find the range of values for the real number $m$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The equation of the directrix of the parabola \\\\(y=4x^{2}\\\\) is \\_\\_\\_\\_\\_\\_.",
"role": "user"
}
] |
math
|
{
"ground_truth": "y=- \\dfrac {1}{16}",
"style": "rule"
}
|
{
"index": 8422,
"need_tools_kwargs": true,
"question": "The equation of the directrix of the parabola \\\\(y=4x^{2}\\\\) is \\_\\_\\_\\_\\_\\_.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which wildlife sanctuary is located in the town in which the Hollis/Brookline High School services?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Talbot-Taylor Wildlife Sanctuary",
"style": "rule"
}
|
{
"index": 8423,
"need_tools_kwargs": true,
"question": "Which wildlife sanctuary is located in the town in which the Hollis/Brookline High School services?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 was teacher in a Nickelodeon sitcom about two girls who become roommates and start a babysitting service?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Eric Lange",
"style": "rule"
}
|
{
"index": 8424,
"need_tools_kwargs": true,
"question": "What actor was teacher in a Nickelodeon sitcom about two girls who become roommates and start a babysitting service?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the place of birth of the director of film Once More (1988 Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Ajaccio",
"style": "rule"
}
|
{
"index": 8425,
"need_tools_kwargs": true,
"question": "What is the place of birth of the director of film Once More (1988 Film)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The school store is running out of supplies, but it still has five items: one pencil (costing $1), one pen (costing $1), one folder (costing $2), one pack of paper (costing $3), and one binder (costing $4). If you have $10, in how many ways can you spend your money? (You don't have to spend all of your money, or any of it.)",
"role": "user"
}
] |
math
|
{
"ground_truth": "31",
"style": "rule"
}
|
{
"index": 8426,
"need_tools_kwargs": true,
"question": "The school store is running out of supplies, but it still has five items: one pencil (costing $1), one pen (costing $1), one folder (costing $2), one pack of paper (costing $3), and one binder (costing $4). If you have $10, in how many ways can you spend your money? (You don't have to spend all of your money, or any of it.)",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Consider the region $A$ in the complex plane that consists of all points $z$ such that both $\\frac{z}{40}$ and $\\frac{40}{\\overline{z}}$ have real and imaginary parts between $0$ and $1$ , inclusive. What is the integer that is nearest the area of $A$ ?",
"role": "user"
}
] |
math
|
{
"ground_truth": "572",
"style": "rule"
}
|
{
"index": 8427,
"need_tools_kwargs": true,
"question": "Consider the region $A$ in the complex plane that consists of all points $z$ such that both $\\frac{z}{40}$ and $\\frac{40}{\\overline{z}}$ have real and imaginary parts between $0$ and $1$ , inclusive. What is the integer that is nearest the area of $A$ ?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Ann and Glenda are participating in a skating race with varying speeds and scheduled breaks. Ann starts off skating at a speed of 6 miles per hour for the first hour, increases her speed to 8 miles per hour for the second hour, and then decreases it to 4 miles per hour for the third hour. However, Ann takes a 15-minute break before starting her third hour. On the other hand, Glenda starts off skating at a speed of 8 miles per hour for the first hour, slows down to 5 miles per hour for the second hour, and increases her speed to 9 miles per hour for the third hour. Glenda takes a 10-minute break while changing direction to skate back towards the starting point for 30 minutes before continuing her original direction with her third hour speed. If they start in the same place and initially skate in straight lines in opposite directions, how many miles apart do they end up after the three hours, including breaks and changes in direction?",
"role": "user"
}
] |
math
|
{
"ground_truth": "35.5",
"style": "rule"
}
|
{
"index": 8428,
"need_tools_kwargs": true,
"question": "Ann and Glenda are participating in a skating race with varying speeds and scheduled breaks. Ann starts off skating at a speed of 6 miles per hour for the first hour, increases her speed to 8 miles per hour for the second hour, and then decreases it to 4 miles per hour for the third hour. However, Ann takes a 15-minute break before starting her third hour. On the other hand, Glenda starts off skating at a speed of 8 miles per hour for the first hour, slows down to 5 miles per hour for the second hour, and increases her speed to 9 miles per hour for the third hour. Glenda takes a 10-minute break while changing direction to skate back towards the starting point for 30 minutes before continuing her original direction with her third hour speed. If they start in the same place and initially skate in straight lines in opposite directions, how many miles apart do they end up after the three hours, including breaks and changes in direction?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 actress played Margaret Joseph Hill? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Kathy Ann Najimy",
"style": "rule"
}
|
{
"index": 8429,
"need_tools_kwargs": true,
"question": "What actress played Margaret Joseph Hill? ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Different letters represent different non-zero digits, and the same letters represent the same digits. Given the equation $\\overline{\\mathrm{AB}} \\times \\overline{\\mathrm{CB}} = \\overline{\\mathrm{DDD}}$ and the condition that $\\overline{\\mathrm{AB}} < \\overline{\\mathrm{CB}}$, determine the values of the digits represented by $A$, $B$, $C$, and $D$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2739",
"style": "rule"
}
|
{
"index": 8430,
"need_tools_kwargs": true,
"question": "Different letters represent different non-zero digits, and the same letters represent the same digits. Given the equation $\\overline{\\mathrm{AB}} \\times \\overline{\\mathrm{CB}} = \\overline{\\mathrm{DDD}}$ and the condition that $\\overline{\\mathrm{AB}} < \\overline{\\mathrm{CB}}$, determine the values of the digits represented by $A$, $B$, $C$, and $D$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 arithmetic sequence $\\{a_n\\}$, $a_{10} < 0$, $a_{11} > 0$, and $a_{11} > |a_{10}|$. The maximum negative value of the partial sum $S_n$ of the first $n$ terms of the sequence $\\{a_n\\}$ is the sum of the first ______ terms.",
"role": "user"
}
] |
math
|
{
"ground_truth": "19",
"style": "rule"
}
|
{
"index": 8431,
"need_tools_kwargs": true,
"question": "In an arithmetic sequence $\\{a_n\\}$, $a_{10} < 0$, $a_{11} > 0$, and $a_{11} > |a_{10}|$. The maximum negative value of the partial sum $S_n$ of the first $n$ terms of the sequence $\\{a_n\\}$ is the sum of the first ______ terms.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 country of origin does Neva Left and Empire Distribution have in common?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American",
"style": "rule"
}
|
{
"index": 8432,
"need_tools_kwargs": true,
"question": "What country of origin does Neva Left and Empire Distribution have in common?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Imperial Noble Consort Gongsu's husband is from?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Qing dynasty",
"style": "rule"
}
|
{
"index": 8433,
"need_tools_kwargs": true,
"question": "Which country Imperial Noble Consort Gongsu's husband 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": "On November 15, a dodgeball tournament took place. In each game, two teams competed. A win was awarded 15 points, a tie 11 points, and a loss 0 points. Each team played against every other team once. At the end of the tournament, the total number of points accumulated was 1151. How many teams participated?",
"role": "user"
}
] |
math
|
{
"ground_truth": "12",
"style": "rule"
}
|
{
"index": 8434,
"need_tools_kwargs": true,
"question": "On November 15, a dodgeball tournament took place. In each game, two teams competed. A win was awarded 15 points, a tie 11 points, and a loss 0 points. Each team played against every other team once. At the end of the tournament, the total number of points accumulated was 1151. How many teams participated?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Does Ross Fitzpatrick have the same nationality as Lucille Lisle?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 8435,
"need_tools_kwargs": true,
"question": "Does Ross Fitzpatrick have the same nationality as Lucille Lisle?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Formulate the equation of the altitude \\( AD \\) of the triangle given by the points \\( A(-5, 3) \\), \\( B(3, 7) \\), and \\( C(4, -1) \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "0",
"style": "rule"
}
|
{
"index": 8436,
"need_tools_kwargs": true,
"question": "Formulate the equation of the altitude \\( AD \\) of the triangle given by the points \\( A(-5, 3) \\), \\( B(3, 7) \\), and \\( C(4, -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 triangle \\(ABC\\), side \\(AB\\) is 8 inches long. A line \\(DEF\\) runs parallel to \\(AB\\), intersects \\(AC\\) at \\(D\\) and intersects \\(BC\\) at \\(E\\). Additionally, the extension of \\(AE\\) bisects \\(\\angle FEC\\). If \\(DE\\) is 5 inches long, then what is the length of \\(CE\\) (in inches)?\n(A) \\(\\frac{51}{4}\\).\n(B) 13.\n(C) \\(\\frac{53}{4}\\).\n(D) \\(\\frac{40}{3}\\).\n(E) \\(\\frac{27}{2}\\).\n\n(From the 19th Annual High School Math Exam, 1968)",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{40}{3}",
"style": "rule"
}
|
{
"index": 8437,
"need_tools_kwargs": true,
"question": "In triangle \\(ABC\\), side \\(AB\\) is 8 inches long. A line \\(DEF\\) runs parallel to \\(AB\\), intersects \\(AC\\) at \\(D\\) and intersects \\(BC\\) at \\(E\\). Additionally, the extension of \\(AE\\) bisects \\(\\angle FEC\\). If \\(DE\\) is 5 inches long, then what is the length of \\(CE\\) (in inches)?\n(A) \\(\\frac{51}{4}\\).\n(B) 13.\n(C) \\(\\frac{53}{4}\\).\n(D) \\(\\frac{40}{3}\\).\n(E) \\(\\frac{27}{2}\\).\n\n(From the 19th Annual High School Math Exam, 1968)",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where did Jorge Ahumada have a title bout with \"The Deputy Sheriff\"?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Madison Square Garden",
"style": "rule"
}
|
{
"index": 8438,
"need_tools_kwargs": true,
"question": "Where did Jorge Ahumada have a title bout with \"The Deputy Sheriff\"?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 walked up a hill at a speed of $(x^2 - 13x - 48)$ miles per hour. Meanwhile, Jill walked a total distance of $(x^2 - 5x - 84)$ miles in $(x + 8)$ hours. If Jack and Jill walked at the same speed, what is that speed, in miles per hour?",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
|
{
"index": 8439,
"need_tools_kwargs": true,
"question": "Jack walked up a hill at a speed of $(x^2 - 13x - 48)$ miles per hour. Meanwhile, Jill walked a total distance of $(x^2 - 5x - 84)$ miles in $(x + 8)$ hours. If Jack and Jill walked at the same speed, what is that speed, in miles per hour?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 in 1945 starred in the show \"Trial & Error\"?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "John Lithgow",
"style": "rule"
}
|
{
"index": 8440,
"need_tools_kwargs": true,
"question": "What actor born in 1945 starred in the show \"Trial & Error\"?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Dare was described as similar to a cross between Cruel Intentions and what 1986 American film?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Pretty in Pink",
"style": "rule"
}
|
{
"index": 8441,
"need_tools_kwargs": true,
"question": "Dare was described as similar to a cross between Cruel Intentions and what 1986 American film?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In what year was the newspaper that recommended a list of who should perform Chopin upon his bicentenary established?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1851",
"style": "rule"
}
|
{
"index": 8442,
"need_tools_kwargs": true,
"question": "In what year was the newspaper that recommended a list of who should perform Chopin upon his bicentenary established?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Denis has cards with numbers from 1 to 50. How many ways are there to choose two cards such that the difference of the numbers on the cards is 11, and their product is divisible by 5?\n\nThe order of the selected cards does not matter: for example, selecting cards with numbers 5 and 16, as well as selecting cards with numbers 16 and 5, is considered the same way.",
"role": "user"
}
] |
math
|
{
"ground_truth": "15",
"style": "rule"
}
|
{
"index": 8443,
"need_tools_kwargs": true,
"question": "Denis has cards with numbers from 1 to 50. How many ways are there to choose two cards such that the difference of the numbers on the cards is 11, and their product is divisible by 5?\n\nThe order of the selected cards does not matter: for example, selecting cards with numbers 5 and 16, as well as selecting cards with numbers 16 and 5, is considered the same way.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When was the director of film Yellowstone (Film) born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "July 25, 1898",
"style": "rule"
}
|
{
"index": 8444,
"need_tools_kwargs": true,
"question": "When was the director of film Yellowstone (Film) born?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given two lines $l_1: ax + 2y + 6 = 0$ and $l_2: x + (a - 1)y + (a^2 - 1) = 0$ are parallel, find the real number $a$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "a = -1",
"style": "rule"
}
|
{
"index": 8445,
"need_tools_kwargs": true,
"question": "Given two lines $l_1: ax + 2y + 6 = 0$ and $l_2: x + (a - 1)y + (a^2 - 1) = 0$ are parallel, find the real number $a$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A fair $6$-sided die is repeatedly rolled until a $1$, $4$, $5$, or $6$ is rolled. What is the expected value of the product of all the rolls?",
"role": "user"
}
] |
math
|
{
"ground_truth": "16",
"style": "rule"
}
|
{
"index": 8446,
"need_tools_kwargs": true,
"question": "A fair $6$-sided die is repeatedly rolled until a $1$, $4$, $5$, or $6$ is rolled. What is the expected value of the product of all the rolls?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 arrows on the two spinners shown below are spun. Let the number \\(N\\) equal \\(10\\) times the number on Spinner \\(A\\), added to the number on Spinner \\(B\\). What is the probability that \\(N\\) is a perfect square number? Express your answer in the form of a simplified fraction \\(\\frac{k}{m}\\), and provide the value of \\(k + m\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "9",
"style": "rule"
}
|
{
"index": 8447,
"need_tools_kwargs": true,
"question": "The arrows on the two spinners shown below are spun. Let the number \\(N\\) equal \\(10\\) times the number on Spinner \\(A\\), added to the number on Spinner \\(B\\). What is the probability that \\(N\\) is a perfect square number? Express your answer in the form of a simplified fraction \\(\\frac{k}{m}\\), and provide the value of \\(k + m\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A right hexagonal prism has height $2$ . The bases are regular hexagons with side length $1$ . Any $3$ of the $12$ vertices determine a triangle. Find the number of these triangles that are isosceles (including equilateral triangles).",
"role": "user"
}
] |
math
|
{
"ground_truth": "52",
"style": "rule"
}
|
{
"index": 8448,
"need_tools_kwargs": true,
"question": "A right hexagonal prism has height $2$ . The bases are regular hexagons with side length $1$ . Any $3$ of the $12$ vertices determine a triangle. Find the number of these triangles that are isosceles (including equilateral triangles).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Mordecai's physics notebook contains 60 pages printed on 30 sheets of paper, with each sheet containing two consecutive pages. One afternoon, his friend borrows a consecutive set of sheets from the notebook. When the notebook is returned, Mordecai finds that the average (mean) of the page numbers on all remaining sheets is exactly 25. Determine how many sheets were borrowed.",
"role": "user"
}
] |
math
|
{
"ground_truth": "10",
"style": "rule"
}
|
{
"index": 8449,
"need_tools_kwargs": true,
"question": "Mordecai's physics notebook contains 60 pages printed on 30 sheets of paper, with each sheet containing two consecutive pages. One afternoon, his friend borrows a consecutive set of sheets from the notebook. When the notebook is returned, Mordecai finds that the average (mean) of the page numbers on all remaining sheets is exactly 25. Determine how many sheets were borrowed.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Whose life do the only people accepted by Freemasons most common in Scandinavia as members learn from?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Jesus Christ",
"style": "rule"
}
|
{
"index": 8450,
"need_tools_kwargs": true,
"question": "Whose life do the only people accepted by Freemasons most common in Scandinavia as members learn 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": "Let $f(x)$ be a function mapping real numbers to real numbers. Given that $f(f(x)) = \\frac{1}{3x}$, and $f(2) = \\frac{1}{9}$, find $f\\left(\\frac{1}{6}\\right)$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 8451,
"need_tools_kwargs": true,
"question": "Let $f(x)$ be a function mapping real numbers to real numbers. Given that $f(f(x)) = \\frac{1}{3x}$, and $f(2) = \\frac{1}{9}$, find $f\\left(\\frac{1}{6}\\right)$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Best known for her performance as Donna Hayward, this actress also starred in what 2006 movie?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Land of the Blind",
"style": "rule"
}
|
{
"index": 8452,
"need_tools_kwargs": true,
"question": "Best known for her performance as Donna Hayward, this actress also starred in what 2006 movie?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Zhang Hua, Li Liang, and Wang Min each sent out x, y, z New Year's cards, respectively. If it is known that the least common multiple of x, y, z is 60, the greatest common divisor of x and y is 4, and the greatest common divisor of y and z is 3, then how many New Year's cards did Zhang Hua send out?",
"role": "user"
}
] |
math
|
{
"ground_truth": "20",
"style": "rule"
}
|
{
"index": 8453,
"need_tools_kwargs": true,
"question": "Zhang Hua, Li Liang, and Wang Min each sent out x, y, z New Year's cards, respectively. If it is known that the least common multiple of x, y, z is 60, the greatest common divisor of x and y is 4, and the greatest common divisor of y and z is 3, then how many New Year's cards did Zhang Hua send out?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In the Cartesian coordinate system $xOy$, the parametric equation of the line $l_{1}$ is $\\begin{cases}x=t- \\sqrt{3} \\\\ y=kt\\end{cases}$ (where $t$ is the parameter), and the parametric equation of line $l_{2}$ is $\\begin{cases}x= \\sqrt{3}-m \\\\ y= \\frac{m}{3k}\\end{cases}$ (where $m$ is the parameter). Let $P$ be the intersection point of $l_{1}$ and $l_{2}$. As $k$ varies, the trajectory of $P$ is the curve $C_{1}$.\n\n(Ⅰ) Write the general equation and the parametric equation of $C_{1}$;\n\n(Ⅱ) Establish a polar coordinate system with the origin as the pole and the positive $x$-axis as the polar axis, and let the polar equation of curve $C_{2}$ be $\\rho \\sin \\left( \\theta +\\frac{\\pi}{4} \\right)=4\\sqrt{2}$. If $Q$ is a moving point on curve $C_{1}$, find the minimum distance from point $Q$ to $C_{2}$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "3 \\sqrt{2}",
"style": "rule"
}
|
{
"index": 8454,
"need_tools_kwargs": true,
"question": "In the Cartesian coordinate system $xOy$, the parametric equation of the line $l_{1}$ is $\\begin{cases}x=t- \\sqrt{3} \\\\ y=kt\\end{cases}$ (where $t$ is the parameter), and the parametric equation of line $l_{2}$ is $\\begin{cases}x= \\sqrt{3}-m \\\\ y= \\frac{m}{3k}\\end{cases}$ (where $m$ is the parameter). Let $P$ be the intersection point of $l_{1}$ and $l_{2}$. As $k$ varies, the trajectory of $P$ is the curve $C_{1}$.\n\n(Ⅰ) Write the general equation and the parametric equation of $C_{1}$;\n\n(Ⅱ) Establish a polar coordinate system with the origin as the pole and the positive $x$-axis as the polar axis, and let the polar equation of curve $C_{2}$ be $\\rho \\sin \\left( \\theta +\\frac{\\pi}{4} \\right)=4\\sqrt{2}$. If $Q$ is a moving point on curve $C_{1}$, find the minimum distance from point $Q$ to $C_{2}$.",
"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": "What was the year and month when The Atlantic reported that the Centers for Disease Control and Prevention (CDC) were conflating the results of two different types of coronavirus tests that diagnose current coronavirus infections and measure whether someone has ever had the virus?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "May 2020",
"style": "rule"
}
|
{
"index": 8455,
"need_tools_kwargs": true,
"question": "What was the year and month when The Atlantic reported that the Centers for Disease Control and Prevention (CDC) were conflating the results of two different types of coronavirus tests that diagnose current coronavirus infections and measure whether someone has ever had the virus?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Richilde Of Provence's husband?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "6 October 877",
"style": "rule"
}
|
{
"index": 8456,
"need_tools_kwargs": true,
"question": "What is the date of death of Richilde Of Provence's husband?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What additional feature does the AirPort Time Capsule have over the Airport Extreme in the Apple network product line-up?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "an internal hard drive",
"style": "rule"
}
|
{
"index": 8457,
"need_tools_kwargs": true,
"question": "What additional feature does the AirPort Time Capsule have over the Airport Extreme in the Apple network product line-up?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 did Drake do prior to working with Ricci Riera?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "actor on the teen drama television series",
"style": "rule"
}
|
{
"index": 8458,
"need_tools_kwargs": true,
"question": "What did Drake do prior to working with Ricci Riera?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 map shows a field in the shape of a rhombus, with a scale of 500 miles represented by 2 inches. The long diagonal of the rhombus measures 10 inches on the map. Calculate the actual area of the field in square miles.",
"role": "user"
}
] |
math
|
{
"ground_truth": "1562500",
"style": "rule"
}
|
{
"index": 8459,
"need_tools_kwargs": true,
"question": "A map shows a field in the shape of a rhombus, with a scale of 500 miles represented by 2 inches. The long diagonal of the rhombus measures 10 inches on the map. Calculate the actual area of the field in square miles.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 pentagon and an equilateral triangle are both inscribed in a circle. They share one common vertex. Label this shared vertex as $X$, and the adjacent vertices in the pentagon from $X$ in the clockwise direction as $Y$ and $Z$. Label the vertices of the equilateral triangle such that $A$ is at $X$ and $B$ and $C$ on either side. If $\\angle BXC$ is marked with a question mark, what is the number of degrees in the measure of $\\angle BXC$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "144^\\circ",
"style": "rule"
}
|
{
"index": 8460,
"need_tools_kwargs": true,
"question": "A pentagon and an equilateral triangle are both inscribed in a circle. They share one common vertex. Label this shared vertex as $X$, and the adjacent vertices in the pentagon from $X$ in the clockwise direction as $Y$ and $Z$. Label the vertices of the equilateral triangle such that $A$ is at $X$ and $B$ and $C$ on either side. If $\\angle BXC$ is marked with a question mark, what is the number of degrees in the measure of $\\angle BXC$?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 former name of company of which Boston Express is a subsidiary?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Concord Trailways",
"style": "rule"
}
|
{
"index": 8461,
"need_tools_kwargs": true,
"question": "What is the former name of company of which Boston Express is a subsidiary?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Gunfighters Of Casa Grande born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "New York",
"style": "rule"
}
|
{
"index": 8462,
"need_tools_kwargs": true,
"question": "Where was the director of film Gunfighters Of Casa Grande 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": "Let $F_n$ be the nth Fibonacci number, defined by $F_1 = F_2 = 1$ and $F_n = F_{n-1} + F_{n-2}$ for $n > 2$ . Let $A_0, A_1, A_2,\\cdots$ be a sequence of points on a circle of radius $1$ such that the minor arc from $A_{k-1}$ to $A_k$ runs clockwise and such that\n\\[\\mu(A_{k-1}A_k)=\\frac{4F_{2k+1}}{F_{2k+1}^2+1}\\]\nfor $k \\geq 1$ , where $\\mu(XY )$ denotes the radian measure of the arc $XY$ in the clockwise direction. What is the limit of the radian measure of arc $A_0A_n$ as $n$ approaches infinity?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2\\pi",
"style": "rule"
}
|
{
"index": 8463,
"need_tools_kwargs": true,
"question": "Let $F_n$ be the nth Fibonacci number, defined by $F_1 = F_2 = 1$ and $F_n = F_{n-1} + F_{n-2}$ for $n > 2$ . Let $A_0, A_1, A_2,\\cdots$ be a sequence of points on a circle of radius $1$ such that the minor arc from $A_{k-1}$ to $A_k$ runs clockwise and such that\n\\[\\mu(A_{k-1}A_k)=\\frac{4F_{2k+1}}{F_{2k+1}^2+1}\\]\nfor $k \\geq 1$ , where $\\mu(XY )$ denotes the radian measure of the arc $XY$ in the clockwise direction. What is the limit of the radian measure of arc $A_0A_n$ as $n$ approaches infinity?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 composer of film Karinagam born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Kannur",
"style": "rule"
}
|
{
"index": 8464,
"need_tools_kwargs": true,
"question": "Where was the composer of film Karinagam 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": "WEGQ is licensed to a village with what population as of the 2010 census?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "967",
"style": "rule"
}
|
{
"index": 8465,
"need_tools_kwargs": true,
"question": "WEGQ is licensed to a village with what population as of the 2010 census?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Expand $(x+2)(3x-6)$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "3x^2-12",
"style": "rule"
}
|
{
"index": 8466,
"need_tools_kwargs": true,
"question": "Expand $(x+2)(3x-6)$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 died earlier Alexander Kronrod or Nicolai A. Vasiliev ?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Nicolai Alexandrovich Vasiliev",
"style": "rule"
}
|
{
"index": 8467,
"need_tools_kwargs": true,
"question": "Who died earlier Alexander Kronrod or Nicolai A. Vasiliev ?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Damaneh, Fars and Qobadabad both located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 8468,
"need_tools_kwargs": true,
"question": "Are Damaneh, Fars and Qobadabad both located in the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where was the place of death of the performer of song I Met A Little Girl?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Los Angeles",
"style": "rule"
}
|
{
"index": 8469,
"need_tools_kwargs": true,
"question": "Where was the place of death of the performer of song I Met A Little Girl?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Wendy ran 19.833333333333332 miles and walked 9.166666666666666 miles . How much farther did Wendy run than walk ? ",
"role": "user"
}
] |
math
|
{
"ground_truth": "10.666666666666666",
"style": "rule"
}
|
{
"index": 8470,
"need_tools_kwargs": true,
"question": "Wendy ran 19.833333333333332 miles and walked 9.166666666666666 miles . How much farther did Wendy run than walk ? ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of death of the director of film The Two Mrs. Carrolls?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "4 March 1970",
"style": "rule"
}
|
{
"index": 8471,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film The Two Mrs. Carrolls?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 person Samuel D. Heins presented his credentials to on March 10, 2016 was born in what year?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1937",
"style": "rule"
}
|
{
"index": 8472,
"need_tools_kwargs": true,
"question": "The person Samuel D. Heins presented his credentials to on March 10, 2016 was born in what year?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Jeanette Miller is an American character actress who appeared in a Christmas-themed romantic comedy film produced by who?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Spyglass Entertainment",
"style": "rule"
}
|
{
"index": 8473,
"need_tools_kwargs": true,
"question": "Jeanette Miller is an American character actress who appeared in a Christmas-themed romantic comedy film produced by who?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given \\( a \\) and \\( b \\) are two orthogonal unit vectors, and \\( c \\cdot a = c \\cdot b = 1 \\), find the minimum value of \\( \\left|c+t a+\\frac{1}{t} b\\right| \\) for any positive real number \\( t \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "2\\sqrt{2}",
"style": "rule"
}
|
{
"index": 8474,
"need_tools_kwargs": true,
"question": "Given \\( a \\) and \\( b \\) are two orthogonal unit vectors, and \\( c \\cdot a = c \\cdot b = 1 \\), find the minimum value of \\( \\left|c+t a+\\frac{1}{t} b\\right| \\) for any positive real number \\( t \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "For a natural number \\(a\\), \\(S(a)\\) represents the sum of the digits of \\(a\\) (for example, \\(S(123) = 1 + 2 + 3 = 6\\)). If the digits of a natural number \\(n\\) are all different and \\(S(3n) = 3S(n)\\), what is the maximum value of \\(n\\)?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3210",
"style": "rule"
}
|
{
"index": 8475,
"need_tools_kwargs": true,
"question": "For a natural number \\(a\\), \\(S(a)\\) represents the sum of the digits of \\(a\\) (for example, \\(S(123) = 1 + 2 + 3 = 6\\)). If the digits of a natural number \\(n\\) are all different and \\(S(3n) = 3S(n)\\), what is the maximum value of \\(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": " The Liberator was a monthly socialist magazine established to continue the work of a magazine that federal prosecutors brought charges against its editors for conspiring to obstruct what?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "conscription",
"style": "rule"
}
|
{
"index": 8476,
"need_tools_kwargs": true,
"question": " The Liberator was a monthly socialist magazine established to continue the work of a magazine that federal prosecutors brought charges against its editors for conspiring to obstruct 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": "Which \"Last Man Standing\" actor also starred in the 2015 American comedy horror film \"Gravy\"?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Molly Ephraim",
"style": "rule"
}
|
{
"index": 8477,
"need_tools_kwargs": true,
"question": "Which \"Last Man Standing\" actor also starred in the 2015 American comedy horror film \"Gravy\"?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Norman Wilson works with the character played by whom on The Wire?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Aidan Gillen",
"style": "rule"
}
|
{
"index": 8478,
"need_tools_kwargs": true,
"question": "Norman Wilson works with the character played by whom on The Wire?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Island of Knights and Knaves, knights always tell the truth, and knaves always lie. One day, a traveler questioned seven inhabitants of the island.\n\n- \"I am a knight,\" said the first.\n- \"Yes, he is a knight,\" said the second.\n- \"Among the first two, at least 50% are knaves,\" said the third.\n- \"Among the first three, at least 65% are knaves,\" said the fourth.\n- \"Among the first four, at least 50% are knights,\" said the fifth.\n- \"Among the first five, at least 40% are knaves,\" said the sixth.\n- \"Among the first six, at least 65% are knights,\" said the seventh.\n\nDetermine how many knights there are among them.",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
|
{
"index": 8479,
"need_tools_kwargs": true,
"question": "On the Island of Knights and Knaves, knights always tell the truth, and knaves always lie. One day, a traveler questioned seven inhabitants of the island.\n\n- \"I am a knight,\" said the first.\n- \"Yes, he is a knight,\" said the second.\n- \"Among the first two, at least 50% are knaves,\" said the third.\n- \"Among the first three, at least 65% are knaves,\" said the fourth.\n- \"Among the first four, at least 50% are knights,\" said the fifth.\n- \"Among the first five, at least 40% are knaves,\" said the sixth.\n- \"Among the first six, at least 65% are knights,\" said the seventh.\n\nDetermine how many knights there are among them.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 arithmetic sequence $\\{a_n\\}$, if $a_4 + a_6 + a_8 + a_{10} + a_{12} = 120$, then find the value of $2a_{10} - a_{12}$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "24",
"style": "rule"
}
|
{
"index": 8480,
"need_tools_kwargs": true,
"question": "In the arithmetic sequence $\\{a_n\\}$, if $a_4 + a_6 + a_8 + a_{10} + a_{12} = 120$, then find the value of $2a_{10} - a_{12}$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Find the number of points in the plane $xOy$ with natural coordinates $(x, y)$ that lie on the parabola $y=-\\frac{x^{2}}{3}+5x+72$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "7",
"style": "rule"
}
|
{
"index": 8481,
"need_tools_kwargs": true,
"question": "Find the number of points in the plane $xOy$ with natural coordinates $(x, y)$ that lie on the parabola $y=-\\frac{x^{2}}{3}+5x+72$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who was the model on the She Doesn't Mind music video by the artist who sings Other Side of Love?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Lisa Jackson",
"style": "rule"
}
|
{
"index": 8482,
"need_tools_kwargs": true,
"question": "Who was the model on the She Doesn't Mind music video by the artist who sings Other Side of Love?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What nationality is the father for the author of \"Mary Barton\"?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Scottish",
"style": "rule"
}
|
{
"index": 8483,
"need_tools_kwargs": true,
"question": "What nationality is the father for the author of \"Mary Barton\"?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Linda began a three-hour drive with her car's odometer reading 12321, which is a palindrome. At her next stop, the odometer again showed a palindrome. Given that Linda strictly obeyed a speed limit of 75 miles per hour throughout her journey, determine her greatest possible average speed for the trip.",
"role": "user"
}
] |
math
|
{
"ground_truth": "66\\frac{2}{3}",
"style": "rule"
}
|
{
"index": 8484,
"need_tools_kwargs": true,
"question": "Linda began a three-hour drive with her car's odometer reading 12321, which is a palindrome. At her next stop, the odometer again showed a palindrome. Given that Linda strictly obeyed a speed limit of 75 miles per hour throughout her journey, determine her greatest possible average speed for the trip.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Find the number of integers $n$ with $1\\le n\\le 100$ for which $n-\\phi(n)$ is prime. Here $\\phi(n)$ denotes the number of positive integers less than $n$ which are relatively prime to $n$ .\n\n*Proposed by Mehtaab Sawhney*",
"role": "user"
}
] |
math
|
{
"ground_truth": "13",
"style": "rule"
}
|
{
"index": 8485,
"need_tools_kwargs": true,
"question": "Find the number of integers $n$ with $1\\le n\\le 100$ for which $n-\\phi(n)$ is prime. Here $\\phi(n)$ denotes the number of positive integers less than $n$ which are relatively prime to $n$ .\n\n*Proposed by Mehtaab Sawhney*",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 equation $y = -16t^2 - 30t + 60$ describes the height (in feet) of a ball thrown downwards at $30$ feet per second from $60$ feet above the ground. Find the time (in seconds) when the ball will hit the ground. Express your answer as a common fraction.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{-15 + 5\\sqrt{237}}{16}",
"style": "rule"
}
|
{
"index": 8486,
"need_tools_kwargs": true,
"question": "The equation $y = -16t^2 - 30t + 60$ describes the height (in feet) of a ball thrown downwards at $30$ feet per second from $60$ feet above the ground. Find the time (in seconds) when the ball will hit the ground. Express your answer as a common fraction.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A box contains 10 red cards and 10 blue cards, each card being numbered with $1, 3, 3^{2}, \\cdots, 3^{9}$ once. The total sum of the numbers on both colored cards is denoted as $S$. For a given positive integer $n$, if it is possible to select a number of cards from the box such that the sum of their numbers is exactly $n$, it is called a \"$n$ selection scheme.\" The number of different $n$ schemes is denoted as $f(n)$. Find the value of $P=$ $\\sum_{n=1}^{1000} f(n)$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "6423",
"style": "rule"
}
|
{
"index": 8487,
"need_tools_kwargs": true,
"question": "A box contains 10 red cards and 10 blue cards, each card being numbered with $1, 3, 3^{2}, \\cdots, 3^{9}$ once. The total sum of the numbers on both colored cards is denoted as $S$. For a given positive integer $n$, if it is possible to select a number of cards from the box such that the sum of their numbers is exactly $n$, it is called a \"$n$ selection scheme.\" The number of different $n$ schemes is denoted as $f(n)$. Find the value of $P=$ $\\sum_{n=1}^{1000} f(n)$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What Institute Founded in 1969 and with approximately 130 campuses in 38 states of the United States had an American actor sidelined his acting career and became an education supervisor?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "ITT Technical Institute",
"style": "rule"
}
|
{
"index": 8488,
"need_tools_kwargs": true,
"question": "What Institute Founded in 1969 and with approximately 130 campuses in 38 states of the United States had an American actor sidelined his acting career and became an education supervisor?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 sample consisting of seven observations has an arithmetic mean of 15 and a median of 18. Determine the smallest possible value of the range (the difference between the largest and smallest observation) for such a sample.",
"role": "user"
}
] |
math
|
{
"ground_truth": "9",
"style": "rule"
}
|
{
"index": 8489,
"need_tools_kwargs": true,
"question": "A sample consisting of seven observations has an arithmetic mean of 15 and a median of 18. Determine the smallest possible value of the range (the difference between the largest and smallest observation) for such a sample.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Willawilla is part of a watercourse that drains in to an area known as what?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Cowandilla Plains",
"style": "rule"
}
|
{
"index": 8490,
"need_tools_kwargs": true,
"question": "Willawilla is part of a watercourse that drains in to an area known as 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 do Tay Walker and Mac Miller have in common?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "is an American singer",
"style": "rule"
}
|
{
"index": 8491,
"need_tools_kwargs": true,
"question": "What do Tay Walker and Mac Miller have in common?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of death of the performer of song A Guy Is A Guy?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "May 13, 2019",
"style": "rule"
}
|
{
"index": 8492,
"need_tools_kwargs": true,
"question": "What is the date of death of the performer of song A Guy Is A Guy?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Tumbleweed (Film) and Maid Of Salem share the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 8493,
"need_tools_kwargs": true,
"question": "Do both directors of films Tumbleweed (Film) and Maid Of Salem share the same nationality?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Wang Lei and her older sister walk from home to the gym to play badminton. It is known that the older sister walks 20 meters more per minute than Wang Lei. After 25 minutes, the older sister reaches the gym, and then realizes she forgot the racket. She immediately returns along the same route to get the racket and meets Wang Lei at a point 300 meters away from the gym. Determine the distance between Wang Lei's home and the gym in meters.",
"role": "user"
}
] |
math
|
{
"ground_truth": "1500",
"style": "rule"
}
|
{
"index": 8494,
"need_tools_kwargs": true,
"question": "Wang Lei and her older sister walk from home to the gym to play badminton. It is known that the older sister walks 20 meters more per minute than Wang Lei. After 25 minutes, the older sister reaches the gym, and then realizes she forgot the racket. She immediately returns along the same route to get the racket and meets Wang Lei at a point 300 meters away from the gym. Determine the distance between Wang Lei's home and the gym in meters.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 university which David R. Marchant was a member of in 1994 is located in what city?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Orono",
"style": "rule"
}
|
{
"index": 8495,
"need_tools_kwargs": true,
"question": "The university which David R. Marchant was a member of in 1994 is located 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": "A clock is set correctly at 1 P.M. on March 15 and subsequently loses exactly 3 minutes per day. Calculate the amount of time, in minutes, that the clock must be adjusted on the morning of March 22 at 9 A.M. to reflect the correct time.",
"role": "user"
}
] |
math
|
{
"ground_truth": "21",
"style": "rule"
}
|
{
"index": 8496,
"need_tools_kwargs": true,
"question": "A clock is set correctly at 1 P.M. on March 15 and subsequently loses exactly 3 minutes per day. Calculate the amount of time, in minutes, that the clock must be adjusted on the morning of March 22 at 9 A.M. to reflect the correct time.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Æthelgeard was likely an official of a king usually called by what nickname?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "the All-Fair",
"style": "rule"
}
|
{
"index": 8497,
"need_tools_kwargs": true,
"question": "Æthelgeard was likely an official of a king usually called by what nickname?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 profession of the daughter of the founder of Tesco",
"role": "user"
}
] |
qa
|
{
"ground_truth": "politician",
"style": "rule"
}
|
{
"index": 8498,
"need_tools_kwargs": true,
"question": "What is the profession of the daughter of the founder of Tesco",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the place of birth of Vitalie Rimbaud's husband?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Dole",
"style": "rule"
}
|
{
"index": 8499,
"need_tools_kwargs": true,
"question": "What is the place of birth of Vitalie Rimbaud's husband?",
"split": "train"
}
| null |
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