data_source
stringclasses 1
value | prompt
listlengths 2
2
| ability
stringclasses 2
values | reward_model
dict | extra_info
dict | metadata
null |
|---|---|---|---|---|---|
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given that $\\{x\\}$ and $[x]$ represent the fractional and integer parts of the number $x$, respectively. The integer part of the number $x$ is the largest integer not greater than $x$, and $\\{x\\} = x - [x]$. Find $x$ such that $4x^2 - 5[x] + 8\\{x\\} = 19$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{5}{2}",
"style": "rule"
}
|
{
"index": 3100,
"need_tools_kwargs": true,
"question": "Given that $\\{x\\}$ and $[x]$ represent the fractional and integer parts of the number $x$, respectively. The integer part of the number $x$ is the largest integer not greater than $x$, and $\\{x\\} = x - [x]$. Find $x$ such that $4x^2 - 5[x] + 8\\{x\\} = 19$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Satish Chandra Maheshwari is a former professor at Jaipur National University and a univeristy founded in what year?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1922",
"style": "rule"
}
|
{
"index": 3101,
"need_tools_kwargs": true,
"question": "Satish Chandra Maheshwari is a former professor at Jaipur National University and a univeristy founded 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": "A square with side length 1 is rotated about one vertex by an angle of $\\alpha,$ where $0^\\circ < \\alpha < 90^\\circ$ and $\\cos \\alpha = \\frac{4}{5}.$ Find the area of the shaded region that is common to both squares.\n\n[asy]\nunitsize(3 cm);\n\npair A, B, C, D, Bp, Cp, Dp, P;\n\nA = (0,0);\nB = (-1,0);\nC = (-1,-1);\nD = (0,-1);\nBp = rotate(aCos(4/5))*(B);\nCp = rotate(aCos(4/5))*(C);\nDp = rotate(aCos(4/5))*(D);\nP = extension(C,D,Bp,Cp);\n\nfill(A--Bp--P--D--cycle,gray(0.7));\ndraw(A--B---C--D--cycle);\ndraw(A--Bp--Cp--Dp--cycle);\n\nlabel(\"$\\alpha$\", A + (-0.25,-0.1));\n[/asy]",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{1}{2}",
"style": "rule"
}
|
{
"index": 3102,
"need_tools_kwargs": true,
"question": "A square with side length 1 is rotated about one vertex by an angle of $\\alpha,$ where $0^\\circ < \\alpha < 90^\\circ$ and $\\cos \\alpha = \\frac{4}{5}.$ Find the area of the shaded region that is common to both squares.\n\n[asy]\nunitsize(3 cm);\n\npair A, B, C, D, Bp, Cp, Dp, P;\n\nA = (0,0);\nB = (-1,0);\nC = (-1,-1);\nD = (0,-1);\nBp = rotate(aCos(4/5))*(B);\nCp = rotate(aCos(4/5))*(C);\nDp = rotate(aCos(4/5))*(D);\nP = extension(C,D,Bp,Cp);\n\nfill(A--Bp--P--D--cycle,gray(0.7));\ndraw(A--B---C--D--cycle);\ndraw(A--Bp--Cp--Dp--cycle);\n\nlabel(\"$\\alpha$\", A + (-0.25,-0.1));\n[/asy]",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where did the director of film Karisakattu Poove die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Chennai",
"style": "rule"
}
|
{
"index": 3103,
"need_tools_kwargs": true,
"question": "Where did the director of film Karisakattu Poove die?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Are Millinocket Seaplane Base and St. George Airport (South Carolina) both located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 3104,
"need_tools_kwargs": true,
"question": "Are Millinocket Seaplane Base and St. George Airport (South Carolina) 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": "Let the function\n$$\nf(x, y) = \\sqrt{x^{2}+y^{2}-6y+9} + \\sqrt{x^{2}+y^{2}+2\\sqrt{3}x+3} + \\sqrt{x^{2}+y^{2}-2\\sqrt{3}x+3}\n$$\n\nFind the minimum value of \\( f(x, y) \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "6.0",
"style": "rule"
}
|
{
"index": 3105,
"need_tools_kwargs": true,
"question": "Let the function\n$$\nf(x, y) = \\sqrt{x^{2}+y^{2}-6y+9} + \\sqrt{x^{2}+y^{2}+2\\sqrt{3}x+3} + \\sqrt{x^{2}+y^{2}-2\\sqrt{3}x+3}\n$$\n\nFind the minimum value of \\( f(x, y) \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the name of the college from where Dr. Farooq Abdullah, a political leader of Kashmir, completed his MBBS degree?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "SMS Medical College, Jaipur",
"style": "rule"
}
|
{
"index": 3106,
"need_tools_kwargs": true,
"question": "What is the name of the college from where Dr. Farooq Abdullah, a political leader of Kashmir, completed his MBBS degree?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "For how many positive integers \\( x \\) does there exist a rectangular prism \\( P Q R S T U V W \\), labelled as shown, with \\( P R = 1867 \\), \\( P V = 2019 \\), and \\( P T = x \\)?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1981",
"style": "rule"
}
|
{
"index": 3107,
"need_tools_kwargs": true,
"question": "For how many positive integers \\( x \\) does there exist a rectangular prism \\( P Q R S T U V W \\), labelled as shown, with \\( P R = 1867 \\), \\( P V = 2019 \\), and \\( P T = x \\)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What nationality is the composer of song The Longest Night (Song)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "British",
"style": "rule"
}
|
{
"index": 3108,
"need_tools_kwargs": true,
"question": "What nationality is the composer of song The Longest Night (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": "In trapezoid $PQRS$, where leg $\\overline{QR}$ is perpendicular to bases $\\overline{PQ}$ and $\\overline{RS}$, diagonals $\\overline{PR}$ and $\\overline{QS}$ are perpendicular. It's given that $PQ = \\sqrt{41}$ and $PS = \\sqrt{2001}$. The total length of bases $PQ$ and $RS$ equals $\\sqrt{2082}$. Determine $QR^2$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "410",
"style": "rule"
}
|
{
"index": 3109,
"need_tools_kwargs": true,
"question": "In trapezoid $PQRS$, where leg $\\overline{QR}$ is perpendicular to bases $\\overline{PQ}$ and $\\overline{RS}$, diagonals $\\overline{PR}$ and $\\overline{QS}$ are perpendicular. It's given that $PQ = \\sqrt{41}$ and $PS = \\sqrt{2001}$. The total length of bases $PQ$ and $RS$ equals $\\sqrt{2082}$. Determine $QR^2$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who produced the 1984 American musical comedy that starred the actress who also played the title character in the sitcom \"Alice\"?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Henson Associates and TriStar Pictures",
"style": "rule"
}
|
{
"index": 3110,
"need_tools_kwargs": true,
"question": "Who produced the 1984 American musical comedy that starred the actress who also played the title character in the sitcom \"Alice\"?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Gigi Zanchetta and Jack Kerley both from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 3111,
"need_tools_kwargs": true,
"question": "Are Gigi Zanchetta and Jack Kerley 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": "The Great St Trinian's Train Robbery was a comedy that parodies the ideas of which Labour leader's government?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "James Harold Wilson",
"style": "rule"
}
|
{
"index": 3112,
"need_tools_kwargs": true,
"question": "The Great St Trinian's Train Robbery was a comedy that parodies the ideas of which Labour leader's government?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "An integer $n$ satisfies the following conditions:\n\n1. $\\Bigl\\lfloor \\frac{n}{9} \\Bigr\\rfloor$ is a three-digit number with equal digits.\n2. $\\Bigl\\lfloor \\frac{n-172}{4} \\Bigr\\rfloor$ is a four-digit number with the digits $2, 0, 2, 4$ in some order.\n\nDetermine the remainder when $n$ is divided by $100$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "91",
"style": "rule"
}
|
{
"index": 3113,
"need_tools_kwargs": true,
"question": "An integer $n$ satisfies the following conditions:\n\n1. $\\Bigl\\lfloor \\frac{n}{9} \\Bigr\\rfloor$ is a three-digit number with equal digits.\n2. $\\Bigl\\lfloor \\frac{n-172}{4} \\Bigr\\rfloor$ is a four-digit number with the digits $2, 0, 2, 4$ in some order.\n\nDetermine the remainder when $n$ is divided by $100$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given the system of equations:\n$$\\left.\\left\\{\\begin{array}{c}x_1x_2x_3\\ldots x_{1961}x_{1962}=1,\\\\x_1-x_2x_3\\ldots x_{1961}x_{1962}=1,\\\\x_1x_2-x_3\\ldots x_{1961}x_{1962}=1,\\\\\\\\x_1x_2x_3\\ldots x_{1961}-x_{1962}=1,\\end{array}\\right.\\right.$$\nfind what values $x_{25}$ can take. The original possible values are $1$, $\\frac{a+\\sqrt{b}}{c-\\sqrt{d}}$, and $\\frac{c-\\sqrt{d}}{a+\\sqrt{b}}$. Please give the value of $a+b+c+d$ for the possible values in fractional form.",
"role": "user"
}
] |
math
|
{
"ground_truth": "12",
"style": "rule"
}
|
{
"index": 3114,
"need_tools_kwargs": true,
"question": "Given the system of equations:\n$$\\left.\\left\\{\\begin{array}{c}x_1x_2x_3\\ldots x_{1961}x_{1962}=1,\\\\x_1-x_2x_3\\ldots x_{1961}x_{1962}=1,\\\\x_1x_2-x_3\\ldots x_{1961}x_{1962}=1,\\\\\\\\x_1x_2x_3\\ldots x_{1961}-x_{1962}=1,\\end{array}\\right.\\right.$$\nfind what values $x_{25}$ can take. The original possible values are $1$, $\\frac{a+\\sqrt{b}}{c-\\sqrt{d}}$, and $\\frac{c-\\sqrt{d}}{a+\\sqrt{b}}$. Please give the value of $a+b+c+d$ for the possible values in fractional form.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In what year did Sigismund Casimir's mother die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1644",
"style": "rule"
}
|
{
"index": 3115,
"need_tools_kwargs": true,
"question": "In what year did Sigismund Casimir's mother die?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which film has the director born first, Princess (2014 film) or Dog Star Man?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Dog Star Man",
"style": "rule"
}
|
{
"index": 3116,
"need_tools_kwargs": true,
"question": "Which film has the director born first, Princess (2014 film) or Dog Star Man?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 number must we add to $3-5i$ to get $2+7i$? Here, $i^2 = -1.$",
"role": "user"
}
] |
math
|
{
"ground_truth": "-1+12i",
"style": "rule"
}
|
{
"index": 3117,
"need_tools_kwargs": true,
"question": "What number must we add to $3-5i$ to get $2+7i$? Here, $i^2 = -1.$",
"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": "Which country the director of film End Of A Priest is from?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Czech",
"style": "rule"
}
|
{
"index": 3118,
"need_tools_kwargs": true,
"question": "Which country the director of film End Of A Priest 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": "Natural numbers \\(a, b, c\\) are chosen such that \\(a < b < c\\). It is also known that the system of equations \\(2x + y = 2027\\) and \\(y = |x - a| + |x - b| + |x - c|\\) has exactly one solution. Find the minimum possible value of \\(c\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "1014",
"style": "rule"
}
|
{
"index": 3119,
"need_tools_kwargs": true,
"question": "Natural numbers \\(a, b, c\\) are chosen such that \\(a < b < c\\). It is also known that the system of equations \\(2x + y = 2027\\) and \\(y = |x - a| + |x - b| + |x - c|\\) has exactly one solution. Find the minimum possible value of \\(c\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Find the number of permutations of $1, 2, 3, 4, 5, 6$ such that for each $k$ with $1 \\leq k \\leq 5$, at least one of the first $k$ terms of the permutation is greater than $k$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "461",
"style": "rule"
}
|
{
"index": 3120,
"need_tools_kwargs": true,
"question": "Find the number of permutations of $1, 2, 3, 4, 5, 6$ such that for each $k$ with $1 \\leq k \\leq 5$, at least one of the first $k$ terms of the permutation is greater than $k$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When was the director of film .Com For Murder born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "28 April 1941",
"style": "rule"
}
|
{
"index": 3121,
"need_tools_kwargs": true,
"question": "When was the director of film .Com For Murder 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": "The present observation of Greenery is a holiday that stems from the celebration of a birthday of an emperor whose name means what in English ?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "abundant benevolence",
"style": "rule"
}
|
{
"index": 3122,
"need_tools_kwargs": true,
"question": "The present observation of Greenery is a holiday that stems from the celebration of a birthday of an emperor whose name means what in English ?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "There are 4 people in the family. If Masha's scholarship is doubled, the total family income will increase by 5%. If the mother's salary is doubled instead, the total family income will increase by 15%. If the father's salary is doubled, the total family income will increase by 25%. By how many percent will the family's income increase if the grandfather's pension is doubled?",
"role": "user"
}
] |
math
|
{
"ground_truth": "55",
"style": "rule"
}
|
{
"index": 3123,
"need_tools_kwargs": true,
"question": "There are 4 people in the family. If Masha's scholarship is doubled, the total family income will increase by 5%. If the mother's salary is doubled instead, the total family income will increase by 15%. If the father's salary is doubled, the total family income will increase by 25%. By how many percent will the family's income increase if the grandfather's pension is doubled?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Find the area of the ellipse given by $x^2 + 6x + 4y^2 - 8y + 9 = 0.$",
"role": "user"
}
] |
math
|
{
"ground_truth": "2 \\pi",
"style": "rule"
}
|
{
"index": 3124,
"need_tools_kwargs": true,
"question": "Find the area of the ellipse given by $x^2 + 6x + 4y^2 - 8y + 9 = 0.$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The graph of the function $y=f(x)$ is symmetric to the graph of $y=g(x)$ with respect to the line $y=x$. Then the inverse function of $y=f(x)$ is:\nA. $y=g(x)$\nB. $y=g(-x)$\nC. $y=-g(x)$\nD. $y=-g(-x)$",
"role": "user"
}
] |
math
|
{
"ground_truth": "D. y=-g(-x)",
"style": "rule"
}
|
{
"index": 3125,
"need_tools_kwargs": true,
"question": "The graph of the function $y=f(x)$ is symmetric to the graph of $y=g(x)$ with respect to the line $y=x$. Then the inverse function of $y=f(x)$ is:\nA. $y=g(x)$\nB. $y=g(-x)$\nC. $y=-g(x)$\nD. $y=-g(-x)$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Consider the series \\(3 + 2 + \\frac{2}{3} + \\frac{2}{9} + \\cdots\\). Analyze the following statements regarding the behavior of the sum of this series:\n\n1. The sum increases without limit.\n2. The sum decreases without limit.\n3. The difference between any term of the sequence and zero can be made less than any positive quantity no matter how small.\n4. The difference between the sum and 6 can be made less than any positive quantity no matter how small.\n5. The sum approaches a limit.\n\nDetermine which of these statements are true and provide a justification for your conclusions.",
"role": "user"
}
] |
math
|
{
"ground_truth": "35",
"style": "rule"
}
|
{
"index": 3126,
"need_tools_kwargs": true,
"question": "Consider the series \\(3 + 2 + \\frac{2}{3} + \\frac{2}{9} + \\cdots\\). Analyze the following statements regarding the behavior of the sum of this series:\n\n1. The sum increases without limit.\n2. The sum decreases without limit.\n3. The difference between any term of the sequence and zero can be made less than any positive quantity no matter how small.\n4. The difference between the sum and 6 can be made less than any positive quantity no matter how small.\n5. The sum approaches a limit.\n\nDetermine which of these statements are true and provide a justification for your conclusions.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 military transport aircraft was developed from an airliner which crashed on March 27, 1951?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Douglas C-47 Skytrain",
"style": "rule"
}
|
{
"index": 3127,
"need_tools_kwargs": true,
"question": "What military transport aircraft was developed from an airliner which crashed on March 27, 1951?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 building of The first performance of Pohjola's Daughter built ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1860",
"style": "rule"
}
|
{
"index": 3128,
"need_tools_kwargs": true,
"question": "When was the building of The first performance of Pohjola's Daughter built ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In a certain kingdom, the workforce is composed exclusively of the dwarf clan and the elf clan. Historically in this kingdom, dwarves and elves have always worked separately, and no enterprise ever hired both dwarves and elves simultaneously. The aggregate supply of labor resources for dwarves is represented by the function \\( w_{\\text{dwar}}^S = 1 + \\frac{L}{3} \\), and the aggregate supply of labor resources for elves is \\( w_{\\text{elf}}^S = 3 + L \\). Conversely, the inverse function of aggregate demand for dwarf labor is \\( w_{\\text{dwar}}^D = 10 - \\frac{2L}{3} \\), and the inverse function of aggregate demand for elf labor is \\( w_{\\text{elf}}^D = 18 - 2L \\).\n\nThe newly ascended king is very concerned about the difference in wage rates for his subjects and therefore decrees that the wages of elves and dwarves must be the same, ensuring that workers are not discriminated against based on their clan affiliation. The king believes that wage regulation may negatively impact the kingdom's economy and mandates that all his subjects behave completely competitively. By how many times will the wage of the group of workers, whose wage was lower before the king's intervention, increase if the firms in the kingdom are indifferent to hiring either elves or dwarves?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1.25",
"style": "rule"
}
|
{
"index": 3129,
"need_tools_kwargs": true,
"question": "In a certain kingdom, the workforce is composed exclusively of the dwarf clan and the elf clan. Historically in this kingdom, dwarves and elves have always worked separately, and no enterprise ever hired both dwarves and elves simultaneously. The aggregate supply of labor resources for dwarves is represented by the function \\( w_{\\text{dwar}}^S = 1 + \\frac{L}{3} \\), and the aggregate supply of labor resources for elves is \\( w_{\\text{elf}}^S = 3 + L \\). Conversely, the inverse function of aggregate demand for dwarf labor is \\( w_{\\text{dwar}}^D = 10 - \\frac{2L}{3} \\), and the inverse function of aggregate demand for elf labor is \\( w_{\\text{elf}}^D = 18 - 2L \\).\n\nThe newly ascended king is very concerned about the difference in wage rates for his subjects and therefore decrees that the wages of elves and dwarves must be the same, ensuring that workers are not discriminated against based on their clan affiliation. The king believes that wage regulation may negatively impact the kingdom's economy and mandates that all his subjects behave completely competitively. By how many times will the wage of the group of workers, whose wage was lower before the king's intervention, increase if the firms in the kingdom are indifferent to hiring either elves or dwarves?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 counterexamples to the statement: \n\\[ \\text{If } N \\text{ is an odd positive integer the sum of whose digits is 4 and none of whose digits is 0, then } N \\text{ is prime.} \\]\nProvide your answer as an integer.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 3130,
"need_tools_kwargs": true,
"question": "Find the number of counterexamples to the statement: \n\\[ \\text{If } N \\text{ is an odd positive integer the sum of whose digits is 4 and none of whose digits is 0, then } N \\text{ is prime.} \\]\nProvide your answer as an integer.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who is the midfielder of the professional football club in the Kersal area of Salford?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Steven Roy Hogg",
"style": "rule"
}
|
{
"index": 3131,
"need_tools_kwargs": true,
"question": "Who is the midfielder of the professional football club in the Kersal area of Salford?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Josh Beech's wife born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "October 24, 1989",
"style": "rule"
}
|
{
"index": 3132,
"need_tools_kwargs": true,
"question": "When was Josh Beech's wife born?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given the parabola $y=x^{2}$ and the line $x-y-2=0$, the shortest distance from a point on the parabola to the line is __________.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\dfrac {7 \\sqrt {2}}{8}",
"style": "rule"
}
|
{
"index": 3133,
"need_tools_kwargs": true,
"question": "Given the parabola $y=x^{2}$ and the line $x-y-2=0$, the shortest distance from a point on the parabola to the line 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": "In the game of *Winners Make Zeros*, a pair of positive integers \\((m,n)\\) is written on a sheet of paper. Then the game begins, as the players make the following legal moves:\n\n- If \\(m \\geq n\\), the player chooses a positive integer \\(c\\) such that \\(m-cn \\geq 0\\), and replaces \\((m,n)\\) with \\((m-cn,n)\\).\n- If \\(m < n\\), the player chooses a positive integer \\(c\\) such that \\(n-cm \\geq 0\\), and replaces \\((m,n)\\) with \\((m,n-cm)\\).\n\nWhen \\(m\\) or \\(n\\) becomes \\(0\\), the game ends, and the last player to have moved is declared the winner. If \\(m\\) and \\(n\\) are originally \\(2007777\\) and \\(2007\\), find the largest choice the first player can make for \\(c\\) (on his first move) such that the first player has a winning strategy after that first move.",
"role": "user"
}
] |
math
|
{
"ground_truth": "999",
"style": "rule"
}
|
{
"index": 3134,
"need_tools_kwargs": true,
"question": "In the game of *Winners Make Zeros*, a pair of positive integers \\((m,n)\\) is written on a sheet of paper. Then the game begins, as the players make the following legal moves:\n\n- If \\(m \\geq n\\), the player chooses a positive integer \\(c\\) such that \\(m-cn \\geq 0\\), and replaces \\((m,n)\\) with \\((m-cn,n)\\).\n- If \\(m < n\\), the player chooses a positive integer \\(c\\) such that \\(n-cm \\geq 0\\), and replaces \\((m,n)\\) with \\((m,n-cm)\\).\n\nWhen \\(m\\) or \\(n\\) becomes \\(0\\), the game ends, and the last player to have moved is declared the winner. If \\(m\\) and \\(n\\) are originally \\(2007777\\) and \\(2007\\), find the largest choice the first player can make for \\(c\\) (on his first move) such that the first player has a winning strategy after that first move.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $n$ be a positive integer. All numbers $m$ which are coprime to $n$ satisfy $m^6 \\equiv 1 \\pmod{n}$. Find the maximum possible value of $n$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "504",
"style": "rule"
}
|
{
"index": 3135,
"need_tools_kwargs": true,
"question": "Let $n$ be a positive integer. All numbers $m$ which are coprime to $n$ satisfy $m^6 \\equiv 1 \\pmod{n}$. Find the maximum possible 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": "Where was the composer of song I Like (Keri Hilson Song) born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Hamburg, Germany",
"style": "rule"
}
|
{
"index": 3136,
"need_tools_kwargs": true,
"question": "Where was the composer of song I Like (Keri Hilson Song) 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": "WNSL is licensed to a city locted in what Mississippi county?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Jones County",
"style": "rule"
}
|
{
"index": 3137,
"need_tools_kwargs": true,
"question": "WNSL is licensed to a city locted in what Mississippi 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": "Can the number, formed by writing out the integers from 1 to \\( n \\) (where \\( n > 1 \\)) in a row, be the same when read from left to right and from right to left?",
"role": "user"
}
] |
math
|
{
"ground_truth": "No",
"style": "rule"
}
|
{
"index": 3138,
"need_tools_kwargs": true,
"question": "Can the number, formed by writing out the integers from 1 to \\( n \\) (where \\( n > 1 \\)) in a row, be the same when read from left to right and from right to left?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Crooked Creek (Coon Creek) and Martins Creek (Delaware River Tributary) located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 3139,
"need_tools_kwargs": true,
"question": "Are Crooked Creek (Coon Creek) and Martins Creek (Delaware River Tributary) 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": "What is the name of this professional qualification to practise as a senior surgeon in Ireland or the United Kingdom for which Bidham Chandra Roy holds this qualification?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Fellowship of the Royal Colleges of Surgeons",
"style": "rule"
}
|
{
"index": 3140,
"need_tools_kwargs": true,
"question": "What is the name of this professional qualification to practise as a senior surgeon in Ireland or the United Kingdom for which Bidham Chandra Roy holds this qualification?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "At the All Goods Available store, it is observed that during weekends, 5/8 of the shoppers prefer using the express lane while the rest use the regular check-out lane. Among the express lane users, 60% are under the age of 35 and 40% are aged 35 or older. The store has three entry times: morning (9 am - 12 pm), afternoon (12 pm - 4 pm), and evening (4 pm - 8 pm). \n\nDuring the morning entry time, 420 shoppers visit the store, with 50% of them using cash, 35% using debit cards, and 15% using credit cards for their transactions. In the afternoon, the number of shoppers increases by 15% (compared to the morning), and the payment preferences change with 60% using cash, 25% using debit cards, and 15% using credit cards. In the evening, there is a 20% increase in the number of shoppers compared to the morning time, with 10% using cash, 40% using debit cards, and 50% using credit cards.\n\nCalculate the number of shoppers aged 35 or older who use the express lane during each entry-time slot, and provide a breakdown of their payment methods for each time slot.",
"role": "user"
}
] |
math
|
{
"ground_truth": "63",
"style": "rule"
}
|
{
"index": 3141,
"need_tools_kwargs": true,
"question": "At the All Goods Available store, it is observed that during weekends, 5/8 of the shoppers prefer using the express lane while the rest use the regular check-out lane. Among the express lane users, 60% are under the age of 35 and 40% are aged 35 or older. The store has three entry times: morning (9 am - 12 pm), afternoon (12 pm - 4 pm), and evening (4 pm - 8 pm). \n\nDuring the morning entry time, 420 shoppers visit the store, with 50% of them using cash, 35% using debit cards, and 15% using credit cards for their transactions. In the afternoon, the number of shoppers increases by 15% (compared to the morning), and the payment preferences change with 60% using cash, 25% using debit cards, and 15% using credit cards. In the evening, there is a 20% increase in the number of shoppers compared to the morning time, with 10% using cash, 40% using debit cards, and 50% using credit cards.\n\nCalculate the number of shoppers aged 35 or older who use the express lane during each entry-time slot, and provide a breakdown of their payment methods for each time slot.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The football tournament, held in one round, involved $16$ teams, each of which scored a different number of points. In this tournament, $3$ points were awarded for a victory, $1$ point for a draw, and $0$ points for a defeat. It was observed that the Chisel team lost to all the teams that ultimately scored fewer points. What is the best result that the Chisel team could achieve?",
"role": "user"
}
] |
math
|
{
"ground_truth": "21",
"style": "rule"
}
|
{
"index": 3142,
"need_tools_kwargs": true,
"question": "The football tournament, held in one round, involved $16$ teams, each of which scored a different number of points. In this tournament, $3$ points were awarded for a victory, $1$ point for a draw, and $0$ points for a defeat. It was observed that the Chisel team lost to all the teams that ultimately scored fewer points. What is the best result that the Chisel team could achieve?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 numbers leave a remainder of 5 when dividing 2007?",
"role": "user"
}
] |
math
|
{
"ground_truth": "71113142226779114315418228610012002",
"style": "rule"
}
|
{
"index": 3143,
"need_tools_kwargs": true,
"question": "Which numbers leave a remainder of 5 when dividing 2007?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 semicircle has a radius of 2021, with diameter \\( AB \\) and center \\( O \\). Points \\( C \\) and \\( D \\) lie on the semicircle such that \\(\\angle AOC < \\angle AOD = 90^{\\circ}\\). A circle of radius \\( r \\) is inscribed in the sector bounded by \\( OA \\) and \\( OC \\) and is tangent to the semicircle at point \\( E \\). Given that \\( CD = CE \\), determine the value of \\( \\lfloor r \\rfloor \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "673",
"style": "rule"
}
|
{
"index": 3144,
"need_tools_kwargs": true,
"question": "A semicircle has a radius of 2021, with diameter \\( AB \\) and center \\( O \\). Points \\( C \\) and \\( D \\) lie on the semicircle such that \\(\\angle AOC < \\angle AOD = 90^{\\circ}\\). A circle of radius \\( r \\) is inscribed in the sector bounded by \\( OA \\) and \\( OC \\) and is tangent to the semicircle at point \\( E \\). Given that \\( CD = CE \\), determine the value of \\( \\lfloor r \\rfloor \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What American actress born June 19, 1972, was is the film The In-Laws?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Robin Tunney",
"style": "rule"
}
|
{
"index": 3145,
"need_tools_kwargs": true,
"question": "What American actress born June 19, 1972, was is the film The In-Laws?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When is Bonnie Bartlett's husband's birthday?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "March 31, 1927",
"style": "rule"
}
|
{
"index": 3146,
"need_tools_kwargs": true,
"question": "When is Bonnie Bartlett's husband's birthday?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When did Joan Of France, Duchess Of Bourbon's mother die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "29 November 1463",
"style": "rule"
}
|
{
"index": 3147,
"need_tools_kwargs": true,
"question": "When did Joan Of France, Duchess Of Bourbon's mother die?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of death of the director of film Tanks A Million?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "May 23, 1964",
"style": "rule"
}
|
{
"index": 3148,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film Tanks A Million?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Regeneration: Volume I & II is a compilation album that includes two covers from an American rock supergroup formed in what year?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1989",
"style": "rule"
}
|
{
"index": 3149,
"need_tools_kwargs": true,
"question": "Regeneration: Volume I & II is a compilation album that includes two covers from an American rock supergroup formed 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": "Who directed actress Laura Slade Wiggins in a 2017 psychological horror film?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "F. Javier Gutiérrez",
"style": "rule"
}
|
{
"index": 3150,
"need_tools_kwargs": true,
"question": "Who directed actress Laura Slade Wiggins in a 2017 psychological horror 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": "A baseball card decreased in value some percent in its first year and 10% in its second year. The total percent decrease of the card's value over the two years was 37%. What was the percent decrease in the first year?",
"role": "user"
}
] |
math
|
{
"ground_truth": "30\\%",
"style": "rule"
}
|
{
"index": 3151,
"need_tools_kwargs": true,
"question": "A baseball card decreased in value some percent in its first year and 10% in its second year. The total percent decrease of the card's value over the two years was 37%. What was the percent decrease in the first 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": "Consider two integers \\(a\\) and \\(b\\) where \\(a\\) consists of a sequence of \\(1500\\) sixes in its base \\(10\\) representation, and \\(b\\) consists of a sequence of \\(1500\\) threes. Calculate the sum of the digits of the base \\(10\\) representation of \\(9ab\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "13501",
"style": "rule"
}
|
{
"index": 3152,
"need_tools_kwargs": true,
"question": "Consider two integers \\(a\\) and \\(b\\) where \\(a\\) consists of a sequence of \\(1500\\) sixes in its base \\(10\\) representation, and \\(b\\) consists of a sequence of \\(1500\\) threes. Calculate the sum of the digits of the base \\(10\\) representation of \\(9ab\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When is the director of film A Musical War Of Love 's birthday?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "10 May 1899",
"style": "rule"
}
|
{
"index": 3153,
"need_tools_kwargs": true,
"question": "When is the director of film A Musical War Of Love 's birthday?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Graham Bonnet and John Corabi, have which mutual occupation?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "rock singer",
"style": "rule"
}
|
{
"index": 3154,
"need_tools_kwargs": true,
"question": "Graham Bonnet and John Corabi, have which mutual occupation?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Investigate the convergence of the functional series \\(\\sum_{n=1}^{\\infty} \\frac{1}{n^{2}+3} \\cdot\\left(\\frac{x+1}{x-1}\\right)^{n}\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "(-\\infty, 0]",
"style": "rule"
}
|
{
"index": 3155,
"need_tools_kwargs": true,
"question": "Investigate the convergence of the functional series \\(\\sum_{n=1}^{\\infty} \\frac{1}{n^{2}+3} \\cdot\\left(\\frac{x+1}{x-1}\\right)^{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": "Which film has the director who is older than the other, Lovers In Quarantine or La Parola Che Uccide? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "La Parola Che Uccide",
"style": "rule"
}
|
{
"index": 3156,
"need_tools_kwargs": true,
"question": "Which film has the director who is older than the other, Lovers In Quarantine or La Parola Che Uccide? ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 base is located west of \"Birdshit Island\"?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Marine Corps Base Hawaii",
"style": "rule"
}
|
{
"index": 3157,
"need_tools_kwargs": true,
"question": "What base is located west of \"Birdshit Island\"?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where was the place of death of the director of film Here Come The Jets?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Woodland Hills, California",
"style": "rule"
}
|
{
"index": 3158,
"need_tools_kwargs": true,
"question": "Where was the place of death of the director of film Here Come The Jets?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Australian cricketer born who made his Test debut in the first match, scoring 151 in the first innings?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "2 April 1981",
"style": "rule"
}
|
{
"index": 3159,
"need_tools_kwargs": true,
"question": "When was the Australian cricketer born who made his Test debut in the first match, scoring 151 in the first innings?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The actress named Hasty Pudding's Woman of the Year in 2009 stars with Russell Crowe in a 2005 film titled after the nickname of what boxing champion?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "James J. Braddock",
"style": "rule"
}
|
{
"index": 3160,
"need_tools_kwargs": true,
"question": "The actress named Hasty Pudding's Woman of the Year in 2009 stars with Russell Crowe in a 2005 film titled after the nickname of what boxing champion?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "At which University, did the LA Rams player who made his NFL debut in November 1990 against the New York Giants, finish college ?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "University of Southern Mississippi",
"style": "rule"
}
|
{
"index": 3161,
"need_tools_kwargs": true,
"question": "At which University, did the LA Rams player who made his NFL debut in November 1990 against the New York Giants, finish college ?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Mark builds an apartment that is 16 feet long and of certain width. There are 6 rooms in total. All the rooms are the same size except the living room which is as big as 3 other rooms. The living room is 60 square feet. What is the width of the apartment?",
"role": "user"
}
] |
math
|
{
"ground_truth": "10",
"style": "rule"
}
|
{
"index": 3162,
"need_tools_kwargs": true,
"question": "Mark builds an apartment that is 16 feet long and of certain width. There are 6 rooms in total. All the rooms are the same size except the living room which is as big as 3 other rooms. The living room is 60 square feet. What is the width of the apartment?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Without solving the quadratic equation \\(x^{2} + px + q = 0\\), construct a new equation whose roots are the squares of the roots of the given equation.",
"role": "user"
}
] |
math
|
{
"ground_truth": "0",
"style": "rule"
}
|
{
"index": 3163,
"need_tools_kwargs": true,
"question": "Without solving the quadratic equation \\(x^{2} + px + q = 0\\), construct a new equation whose roots are the squares of the roots of the given equation.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Clausius–Clapeyron relation was named after a German physicist and mathematician who is considered one of the central founders of what area of science?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "the science of thermodynamics",
"style": "rule"
}
|
{
"index": 3164,
"need_tools_kwargs": true,
"question": "The Clausius–Clapeyron relation was named after a German physicist and mathematician who is considered one of the central founders of what area of science?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Are both Bastard Boys and Highballing To Victory from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 3165,
"need_tools_kwargs": true,
"question": "Are both Bastard Boys and Highballing To Victory from the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What nationality is B. Sohanlal's wife?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "India",
"style": "rule"
}
|
{
"index": 3166,
"need_tools_kwargs": true,
"question": "What nationality is B. Sohanlal's wife?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Until which year did this Polish professional boxer who lost to Joe Smith Jr. in 2016 in a knockout victory hold the IBO light heavyweight title?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "2013",
"style": "rule"
}
|
{
"index": 3167,
"need_tools_kwargs": true,
"question": "Until which year did this Polish professional boxer who lost to Joe Smith Jr. in 2016 in a knockout victory hold the IBO light heavyweight title?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of death of Thomas Goppel's father?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "24 December 1991",
"style": "rule"
}
|
{
"index": 3168,
"need_tools_kwargs": true,
"question": "What is the date of death of Thomas Goppel's father?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of death of the performer of song Flores Negras?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "30 October 1989",
"style": "rule"
}
|
{
"index": 3169,
"need_tools_kwargs": true,
"question": "What is the date of death of the performer of song Flores Negras?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "If you want to see Cowbell Man at a New York Mets game, what bus would you take to get to Citi Field?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "New York City Bus: Q48",
"style": "rule"
}
|
{
"index": 3170,
"need_tools_kwargs": true,
"question": "If you want to see Cowbell Man at a New York Mets game, what bus would you take to get to Citi Field?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Tellico River and Namo River both located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 3171,
"need_tools_kwargs": true,
"question": "Are Tellico River and Namo River 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": "Who did Manny Diaz Jr. lose to when he ran for the Miami-Dade County School Board in 2010?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Perla Tabares Hantman",
"style": "rule"
}
|
{
"index": 3172,
"need_tools_kwargs": true,
"question": "Who did Manny Diaz Jr. lose to when he ran for the Miami-Dade County School Board in 2010?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 \\( k \\geqslant 0 \\), determine the minimum of the expression \n\\[ A=\\frac{x}{1+y^{2}}+\\frac{y}{1+x^{2}}+\\frac{z}{1+t^{2}}+ \\frac{t}{1+z^{2}} \\]\nunder the condition \\( x + y + z + t = k \\) and \\( x, y, z, t \\) are positive.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{4k}{4 + k^2}",
"style": "rule"
}
|
{
"index": 3173,
"need_tools_kwargs": true,
"question": "Given \\( k \\geqslant 0 \\), determine the minimum of the expression \n\\[ A=\\frac{x}{1+y^{2}}+\\frac{y}{1+x^{2}}+\\frac{z}{1+t^{2}}+ \\frac{t}{1+z^{2}} \\]\nunder the condition \\( x + y + z + t = k \\) and \\( x, y, z, t \\) are positive.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 The Country Mouse And The City Mouse: A Christmas Tale born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "New York",
"style": "rule"
}
|
{
"index": 3174,
"need_tools_kwargs": true,
"question": "Where was the director of film The Country Mouse And The City Mouse: A Christmas Tale 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": "Are both Amir Salar-E Sofla and Galu Boraq located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 3175,
"need_tools_kwargs": true,
"question": "Are both Amir Salar-E Sofla and Galu Boraq 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": "What American actor born 1917 starred in God is My Partner?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Jesse White",
"style": "rule"
}
|
{
"index": 3176,
"need_tools_kwargs": true,
"question": "What American actor born 1917 starred in God is My Partner?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Lojzička?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Prague",
"style": "rule"
}
|
{
"index": 3177,
"need_tools_kwargs": true,
"question": "What is the place of birth of the director of film Lojzička?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "已知 $|\\boldsymbol{a}|=|\\boldsymbol{b}|=1, \\boldsymbol{a} \\cdot \\boldsymbol{b}=\\frac{1}{2},(\\boldsymbol{c}-\\boldsymbol{a})(\\boldsymbol{c}-\\boldsymbol{b})=0$. 若 $|\\boldsymbol{d}-\\boldsymbol{c}|=1$, 则 $|\\boldsymbol{d}|$ 的最大值为 $\\frac{k+\\sqrt{m}}{n}$ 的形式，请给出 k + m + n 的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "8",
"style": "rule"
}
|
{
"index": 3178,
"need_tools_kwargs": true,
"question": "已知 $|\\boldsymbol{a}|=|\\boldsymbol{b}|=1, \\boldsymbol{a} \\cdot \\boldsymbol{b}=\\frac{1}{2},(\\boldsymbol{c}-\\boldsymbol{a})(\\boldsymbol{c}-\\boldsymbol{b})=0$. 若 $|\\boldsymbol{d}-\\boldsymbol{c}|=1$, 则 $|\\boldsymbol{d}|$ 的最大值为 $\\frac{k+\\sqrt{m}}{n}$ 的形式，请给出 k + m + n 的值。",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $x$ and $y$ be two real numbers such that $2 \\sin x \\sin y + 3 \\cos y + 6 \\cos x \\sin y = 7$. Find $\\tan^2 x + 2 \\tan^2 y$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "9",
"style": "rule"
}
|
{
"index": 3179,
"need_tools_kwargs": true,
"question": "Let $x$ and $y$ be two real numbers such that $2 \\sin x \\sin y + 3 \\cos y + 6 \\cos x \\sin y = 7$. Find $\\tan^2 x + 2 \\tan^2 y$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Vishal invested 10% more than Trishul. Trishul invested 10% less than Raghu. Deepak invested 20% more than Vishal. If the total sum of their investments is Rs. 8578, how much amount did Raghu invest?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2103.96",
"style": "rule"
}
|
{
"index": 3180,
"need_tools_kwargs": true,
"question": "Vishal invested 10% more than Trishul. Trishul invested 10% less than Raghu. Deepak invested 20% more than Vishal. If the total sum of their investments is Rs. 8578, how much amount did Raghu invest?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In the Land of Fools, coins with denominations of $1, 2, 3, \\ldots, 19, 20$ solardon circulate (no other denominations). Pinocchio had one coin. He bought ice cream and received one coin as change. He bought the same ice cream again and received change in three coins of different denominations. Pinocchio wanted to buy the third ice cream, but he didn't have enough money. How much does the ice cream cost?",
"role": "user"
}
] |
math
|
{
"ground_truth": "7",
"style": "rule"
}
|
{
"index": 3181,
"need_tools_kwargs": true,
"question": "In the Land of Fools, coins with denominations of $1, 2, 3, \\ldots, 19, 20$ solardon circulate (no other denominations). Pinocchio had one coin. He bought ice cream and received one coin as change. He bought the same ice cream again and received change in three coins of different denominations. Pinocchio wanted to buy the third ice cream, but he didn't have enough money. How much does the ice cream cost?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Ed Mangano defeated whom?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "defeated incumbent Thomas R. Suozzi",
"style": "rule"
}
|
{
"index": 3182,
"need_tools_kwargs": true,
"question": "Ed Mangano defeated whom?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs. 2 per sq m?",
"role": "user"
}
] |
math
|
{
"ground_truth": "675",
"style": "rule"
}
|
{
"index": 3183,
"need_tools_kwargs": true,
"question": "A rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs. 2 per sq 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": "Given positive integers $a$ and $b$ are members of a set where $a \\in \\{2, 3, 5, 7\\}$ and $b \\in \\{2, 4, 6, 8\\}$, and the sum of $a$ and $b$ must be even, determine the smallest possible value for the expression $2 \\cdot a - a \\cdot b$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "-12",
"style": "rule"
}
|
{
"index": 3184,
"need_tools_kwargs": true,
"question": "Given positive integers $a$ and $b$ are members of a set where $a \\in \\{2, 3, 5, 7\\}$ and $b \\in \\{2, 4, 6, 8\\}$, and the sum of $a$ and $b$ must be even, determine the smallest possible value for the expression $2 \\cdot a - a \\cdot b$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $d_1$, $d_2$, $d_3$, $d_4$, $e_1$, $e_2$, $e_3$, and $e_4$ be real numbers such that for every real number $x$, we have\n\\[\n x^8 - 2x^7 + 2x^6 - 2x^5 + 2x^4 - 2x^3 + 2x^2 - 2x + 1 = (x^2 + d_1 x + e_1)(x^2 + d_2 x + e_2)(x^2 + d_3 x + e_3)(x^2 + d_4 x + e_4). \n\\]\nCompute $d_1 e_1 + d_2 e_2 + d_3 e_3 + d_4 e_4$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "-2",
"style": "rule"
}
|
{
"index": 3185,
"need_tools_kwargs": true,
"question": "Let $d_1$, $d_2$, $d_3$, $d_4$, $e_1$, $e_2$, $e_3$, and $e_4$ be real numbers such that for every real number $x$, we have\n\\[\n x^8 - 2x^7 + 2x^6 - 2x^5 + 2x^4 - 2x^3 + 2x^2 - 2x + 1 = (x^2 + d_1 x + e_1)(x^2 + d_2 x + e_2)(x^2 + d_3 x + e_3)(x^2 + d_4 x + e_4). \n\\]\nCompute $d_1 e_1 + d_2 e_2 + d_3 e_3 + d_4 e_4$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The population of Port Perry is seven times as many as the population of Wellington. Meanwhile, the population of Lazy Harbor is 600 more than twice the population of Wellington. The population of Newbridge is three times the difference between the populations of Port Perry and Wellington. Over the past year, the population of Newbridge has increased by 12.5% while Lazy Harbor has experienced a 5% decline. If Wellington has a population of 900, what is the new population of Newbridge after the 12.5% increase?",
"role": "user"
}
] |
math
|
{
"ground_truth": "18,225",
"style": "rule"
}
|
{
"index": 3186,
"need_tools_kwargs": true,
"question": "The population of Port Perry is seven times as many as the population of Wellington. Meanwhile, the population of Lazy Harbor is 600 more than twice the population of Wellington. The population of Newbridge is three times the difference between the populations of Port Perry and Wellington. Over the past year, the population of Newbridge has increased by 12.5% while Lazy Harbor has experienced a 5% decline. If Wellington has a population of 900, what is the new population of Newbridge after the 12.5% increase?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Did the movies The House Of Pulcini and Ruthless (Film), originate from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 3187,
"need_tools_kwargs": true,
"question": "Did the movies The House Of Pulcini and Ruthless (Film), 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 is the positive difference of the solutions of $\\dfrac{r^2-5r-24}{r+5}=3r+11$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{1}{2}",
"style": "rule"
}
|
{
"index": 3188,
"need_tools_kwargs": true,
"question": "What is the positive difference of the solutions of $\\dfrac{r^2-5r-24}{r+5}=3r+11$?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which American singer-songwriter from Wichita, Kansas participated in the season two of \"The Voice\".",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Chris Mann",
"style": "rule"
}
|
{
"index": 3189,
"need_tools_kwargs": true,
"question": "Which American singer-songwriter from Wichita, Kansas participated in the season two of \"The Voice\".",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Spartak fans tell the truth when Spartak wins and lie when they lose. Dynamo, Zenit, and Lokomotiv fans behave similarly. After two matches involving these four teams (each ending with one team winning and not in a draw), fans watching the broadcast were asked if they supported Spartak, with 200 responding positively. When asked if they supported Dynamo, 300 responded positively. For Zenit, 500 responded positively, and for Lokomotiv, 600 responded positively. How many people supported each team?",
"role": "user"
}
] |
math
|
{
"ground_truth": "200300500600",
"style": "rule"
}
|
{
"index": 3190,
"need_tools_kwargs": true,
"question": "Spartak fans tell the truth when Spartak wins and lie when they lose. Dynamo, Zenit, and Lokomotiv fans behave similarly. After two matches involving these four teams (each ending with one team winning and not in a draw), fans watching the broadcast were asked if they supported Spartak, with 200 responding positively. When asked if they supported Dynamo, 300 responded positively. For Zenit, 500 responded positively, and for Lokomotiv, 600 responded positively. How many people supported each team?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When did the director of film Radha Kalyanam (1981 Film) die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "31 August 2014",
"style": "rule"
}
|
{
"index": 3191,
"need_tools_kwargs": true,
"question": "When did the director of film Radha Kalyanam (1981 Film) die?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given the hyperbola $x^{2}- \\frac {y^{2}}{m}=1$ with its left and right foci being $F_{1}$ and $F_{2}$ respectively, a line passing through point $F_{2}$ intersects the right branch of the hyperbola at points $A$ and $B$. If $\\triangle ABF_{1}$ is an isosceles triangle with $A$ as the vertex of the right angle, then the value of the real number $m$ is ______.",
"role": "user"
}
] |
math
|
{
"ground_truth": "4-2 \\sqrt {2}",
"style": "rule"
}
|
{
"index": 3192,
"need_tools_kwargs": true,
"question": "Given the hyperbola $x^{2}- \\frac {y^{2}}{m}=1$ with its left and right foci being $F_{1}$ and $F_{2}$ respectively, a line passing through point $F_{2}$ intersects the right branch of the hyperbola at points $A$ and $B$. If $\\triangle ABF_{1}$ is an isosceles triangle with $A$ as the vertex of the right angle, then the value of the real number $m$ is ______.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What was the original name of the university where Marianne Illing was educated?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Carleton College",
"style": "rule"
}
|
{
"index": 3193,
"need_tools_kwargs": true,
"question": "What was the original name of the university where Marianne Illing was educated?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Ab Bad, Faryab and Bala Gabri located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 3194,
"need_tools_kwargs": true,
"question": "Are Ab Bad, Faryab and Bala Gabri 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": "Write the number 1997 using 10 threes and arithmetic operations.",
"role": "user"
}
] |
math
|
{
"ground_truth": "3\\times333+3\\times333-3\\div3",
"style": "rule"
}
|
{
"index": 3195,
"need_tools_kwargs": true,
"question": "Write the number 1997 using 10 threes and arithmetic operations.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In triangle \\( \\triangle ABC \\), the side lengths opposite to angles \\(A\\), \\(B\\), and \\(C\\) are \\(a\\), \\(b\\), and \\(c\\) respectively. If \\(c - a\\) is equal to the height \\(h\\) on side \\(AC\\), then the value of \\( \\sin \\frac{C-A}{2} + \\cos \\frac{C+A}{2} \\) is:\n(A) 1.\n(B) \\(\\frac{1}{2}\\).\n(C) \\(\\frac{1}{3}\\).\n(D) -1.",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"index": 3196,
"need_tools_kwargs": true,
"question": "In triangle \\( \\triangle ABC \\), the side lengths opposite to angles \\(A\\), \\(B\\), and \\(C\\) are \\(a\\), \\(b\\), and \\(c\\) respectively. If \\(c - a\\) is equal to the height \\(h\\) on side \\(AC\\), then the value of \\( \\sin \\frac{C-A}{2} + \\cos \\frac{C+A}{2} \\) is:\n(A) 1.\n(B) \\(\\frac{1}{2}\\).\n(C) \\(\\frac{1}{3}\\).\n(D) -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": "有限集$\\mathcal{S}$是一个基数集，当且仅当$\\mathcal{S}$包含整数$|\\mathcal{S}|$，其中$|\\mathcal{S}|$表示$\\mathcal{S}$中不同元素的数量。设$f$是从正整数集合到自身的一个函数，使得对于任何基数集$\\mathcal{S}$，集合$f(\\mathcal{S})$也是基数集。这里$f(\\mathcal{S})$表示所有可以表示为$f(a)$的整数的集合，其中$a \\in \\mathcal{S}$。求$f(2024)$的所有可能值。原始答案为{x, y, z}，请给出x + y + z的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "2027",
"style": "rule"
}
|
{
"index": 3197,
"need_tools_kwargs": true,
"question": "有限集$\\mathcal{S}$是一个基数集，当且仅当$\\mathcal{S}$包含整数$|\\mathcal{S}|$，其中$|\\mathcal{S}|$表示$\\mathcal{S}$中不同元素的数量。设$f$是从正整数集合到自身的一个函数，使得对于任何基数集$\\mathcal{S}$，集合$f(\\mathcal{S})$也是基数集。这里$f(\\mathcal{S})$表示所有可以表示为$f(a)$的整数的集合，其中$a \\in \\mathcal{S}$。求$f(2024)$的所有可能值。原始答案为{x, y, z}，请给出x + y + z的值。",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which man who went into space was born first, Dirk Frimout or Franz Viehböck?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Dirk Dries David Damiaan",
"style": "rule"
}
|
{
"index": 3198,
"need_tools_kwargs": true,
"question": "Which man who went into space was born first, Dirk Frimout or Franz Viehböck?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 official communication including over 100 emails which contained classified information which was investigated by the 7th director of the Federal Bureau of Investigation?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Hillary Clinton email controversy",
"style": "rule"
}
|
{
"index": 3199,
"need_tools_kwargs": true,
"question": "What was the official communication including over 100 emails which contained classified information which was investigated by the 7th director of the Federal Bureau of Investigation?",
"split": "train"
}
| null |
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