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": "A sequence of positive integers with $a_1=1$ and $a_9+a_{10}=646$ is formed so that the first three terms are in geometric progression, the second, third, and fourth terms are in arithmetic progression, and, in general, for all $n\\ge1,$ the terms $a_{2n-1}, a_{2n}, a_{2n+1}$ are in geometric progression, and the terms $a_{2n}, a_{2n+1},$ and $a_{2n+2}$ are in arithmetic progression. Let $a_n$ be the greatest term in this sequence that is less than 1000. Find $n+a_n.$",
"role": "user"
}
] |
math
|
{
"ground_truth": "973",
"style": "rule"
}
|
{
"index": 6600,
"need_tools_kwargs": true,
"question": "A sequence of positive integers with $a_1=1$ and $a_9+a_{10}=646$ is formed so that the first three terms are in geometric progression, the second, third, and fourth terms are in arithmetic progression, and, in general, for all $n\\ge1,$ the terms $a_{2n-1}, a_{2n}, a_{2n+1}$ are in geometric progression, and the terms $a_{2n}, a_{2n+1},$ and $a_{2n+2}$ are in arithmetic progression. Let $a_n$ be the greatest term in this sequence that is less than 1000. Find $n+a_n.$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Are the directors of both films Richard Iii (1955 Film) and His Days Are Numbered from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 6601,
"need_tools_kwargs": true,
"question": "Are the directors of both films Richard Iii (1955 Film) and His Days Are Numbered 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": " Christmas Bounty is a 2013 television film that stars an American actress who is most notable for her role in what?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "The Secret Life of the American Teenager",
"style": "rule"
}
|
{
"index": 6602,
"need_tools_kwargs": true,
"question": " Christmas Bounty is a 2013 television film that stars an American actress who is most notable for her role in what?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What American film actress served as the First Lady of the United States from 1981 to 1989 starred in a 1957 black-and-white World War II submarine film drama from Columbia Pictures?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Nancy Davis Reagan",
"style": "rule"
}
|
{
"index": 6603,
"need_tools_kwargs": true,
"question": "What American film actress served as the First Lady of the United States from 1981 to 1989 starred in a 1957 black-and-white World War II submarine film drama from Columbia Pictures?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Grupčin and Gardeh Now located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 6604,
"need_tools_kwargs": true,
"question": "Are both Grupčin and Gardeh Now 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": "Quentin, Skylar, and Colten have a total of 383 chickens. Quentin has some more than double the chickens that Skylar has. Skylar has 4 less than triple the number of chickens that Colten has. Colten has 37 chickens. How many more chickens does Quentin have than double the number of chickens Skylar has?",
"role": "user"
}
] |
math
|
{
"ground_truth": "32",
"style": "rule"
}
|
{
"index": 6605,
"need_tools_kwargs": true,
"question": "Quentin, Skylar, and Colten have a total of 383 chickens. Quentin has some more than double the chickens that Skylar has. Skylar has 4 less than triple the number of chickens that Colten has. Colten has 37 chickens. How many more chickens does Quentin have than double the number of chickens Skylar has?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Herbert Furth's mother die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Washington",
"style": "rule"
}
|
{
"index": 6606,
"need_tools_kwargs": true,
"question": "Where did Herbert Furth'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": "In right $\\triangle ABC$ with hypotenuse $\\overline{AB}$, $AC = 12$, $BC = 35$, and $\\overline{CD}$ is the altitude to $\\overline{AB}$. Let $\\omega$ be the circle having $\\overline{CD}$ as a diameter. Let $I$ be a point outside $\\triangle ABC$ such that $\\overline{AI}$ and $\\overline{BI}$ are both tangent to circle $\\omega$. The ratio of the perimeter of $\\triangle ABI$ to the length $AB$ can be expressed in the form $\\frac {m}{n}$, where $m$ and $n$ are relatively prime positive integers. Find $m + n$.\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "11",
"style": "rule"
}
|
{
"index": 6607,
"need_tools_kwargs": true,
"question": "In right $\\triangle ABC$ with hypotenuse $\\overline{AB}$, $AC = 12$, $BC = 35$, and $\\overline{CD}$ is the altitude to $\\overline{AB}$. Let $\\omega$ be the circle having $\\overline{CD}$ as a diameter. Let $I$ be a point outside $\\triangle ABC$ such that $\\overline{AI}$ and $\\overline{BI}$ are both tangent to circle $\\omega$. The ratio of the perimeter of $\\triangle ABI$ to the length $AB$ can be expressed in the form $\\frac {m}{n}$, where $m$ and $n$ are relatively prime positive integers. Find $m + n$.\n",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The polar equation of a circle is $\\rho=2(\\cos\\theta+\\sin\\theta)$. What is the polar coordinate of the center of this circle?\n\nA: $(1, \\frac{\\pi}{4})$ \nB: $(\\frac{1}{2}, \\frac{\\pi}{4})$ \nC: $(\\sqrt{2}, \\frac{\\pi}{4})$ \nD: $(2, \\frac{\\pi}{4})$",
"role": "user"
}
] |
math
|
{
"ground_truth": "( \\sqrt{2}, \\frac{\\pi}{4})",
"style": "rule"
}
|
{
"index": 6608,
"need_tools_kwargs": true,
"question": "The polar equation of a circle is $\\rho=2(\\cos\\theta+\\sin\\theta)$. What is the polar coordinate of the center of this circle?\n\nA: $(1, \\frac{\\pi}{4})$ \nB: $(\\frac{1}{2}, \\frac{\\pi}{4})$ \nC: $(\\sqrt{2}, \\frac{\\pi}{4})$ \nD: $(2, \\frac{\\pi}{4})$",
"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": "Given that an ellipse has the equation $\\frac {x^{2}}{a^{2}} + \\frac {y^{2}}{b^{2}} = 1$ with $a > b > 0$ and eccentricity $e = \\frac {\\sqrt {6}}{3}$. The distance from the origin to the line that passes through points $A(0,-b)$ and $B(a,0)$ is $\\frac {\\sqrt {3}}{2}$.\n\n$(1)$ Find the equation of the ellipse.\n\n$(2)$ Given the fixed point $E(-1,0)$, if the line $y = kx + 2 \\ (k \\neq 0)$ intersects the ellipse at points $C$ and $D$, is there a value of $k$ such that the circle with diameter $CD$ passes through point $E$? Please provide an explanation.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac {7}{6}",
"style": "rule"
}
|
{
"index": 6609,
"need_tools_kwargs": true,
"question": "Given that an ellipse has the equation $\\frac {x^{2}}{a^{2}} + \\frac {y^{2}}{b^{2}} = 1$ with $a > b > 0$ and eccentricity $e = \\frac {\\sqrt {6}}{3}$. The distance from the origin to the line that passes through points $A(0,-b)$ and $B(a,0)$ is $\\frac {\\sqrt {3}}{2}$.\n\n$(1)$ Find the equation of the ellipse.\n\n$(2)$ Given the fixed point $E(-1,0)$, if the line $y = kx + 2 \\ (k \\neq 0)$ intersects the ellipse at points $C$ and $D$, is there a value of $k$ such that the circle with diameter $CD$ passes through point $E$? Please provide an explanation.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Define a function $f(x)$ on $\\mathbb{R}$ such that\n$$\nf(x) = \\begin{cases}\n\\log_{2}(8-x) & \\text{if } x \\leq 0, \\\\\nf(x-1) - f(x-2) & \\text{if } x > 0.\n\\end{cases}\n$$\nDetermine the value of $f(2013)$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "f(2013) = -3",
"style": "rule"
}
|
{
"index": 6610,
"need_tools_kwargs": true,
"question": "Define a function $f(x)$ on $\\mathbb{R}$ such that\n$$\nf(x) = \\begin{cases}\n\\log_{2}(8-x) & \\text{if } x \\leq 0, \\\\\nf(x-1) - f(x-2) & \\text{if } x > 0.\n\\end{cases}\n$$\nDetermine the value of $f(2013)$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 trapezoid \\(ABCD\\) with bases \\(AB\\) and \\(CD\\) measuring 55 and 31 units, respectively. The diagonals \\(AC\\) and \\(BD\\) intersect at point \\(O\\) and are mutually perpendicular. Calculate the dot product of the vectors \\(\\overrightarrow{AD}\\) and \\(\\overrightarrow{BC}\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "1705",
"style": "rule"
}
|
{
"index": 6611,
"need_tools_kwargs": true,
"question": "Consider trapezoid \\(ABCD\\) with bases \\(AB\\) and \\(CD\\) measuring 55 and 31 units, respectively. The diagonals \\(AC\\) and \\(BD\\) intersect at point \\(O\\) and are mutually perpendicular. Calculate the dot product of the vectors \\(\\overrightarrow{AD}\\) and \\(\\overrightarrow{BC}\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "James Eddie is a NBA player for a team that was founded in this year?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1966",
"style": "rule"
}
|
{
"index": 6612,
"need_tools_kwargs": true,
"question": "James Eddie is a NBA player for a team that was founded in this 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": "Under a revised proposal, a year that ends in double zeroes will be considered a leap year only if the year leaves a remainder of 300 or 600 when divided by 800. How many leap years will there be that end in double zeroes from the year 1500 to 3500?",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
|
{
"index": 6613,
"need_tools_kwargs": true,
"question": "Under a revised proposal, a year that ends in double zeroes will be considered a leap year only if the year leaves a remainder of 300 or 600 when divided by 800. How many leap years will there be that end in double zeroes from the year 1500 to 3500?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Avalanche actor also set a Guinness World record?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "David Michael Hasselhoff",
"style": "rule"
}
|
{
"index": 6614,
"need_tools_kwargs": true,
"question": "What Avalanche actor also set a Guinness World record?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 previous name of the suburb that is included in Norwood electoral district?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "\"College Town\"",
"style": "rule"
}
|
{
"index": 6615,
"need_tools_kwargs": true,
"question": "What was the previous name of the suburb that is included in Norwood electoral district?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given the function f(x) = A sin(ωx + φ) (x ∈ R) (where A > 0, $ω > 0, 0 < φ < \\frac{π}{2}$) and the distance between two adjacent intersection points of the graph and the x-axis is $\\frac{π}{2}$, and one of the highest points on the graph is ($\\frac{π}{6}$, 3), find the analytical expression of the function f(x) = \\_\\_\\_\\_\\_\\_.",
"role": "user"
}
] |
math
|
{
"ground_truth": "3 \\sin \\left(2 x+\\frac{\\pi}{6}\\right)",
"style": "rule"
}
|
{
"index": 6616,
"need_tools_kwargs": true,
"question": "Given the function f(x) = A sin(ωx + φ) (x ∈ R) (where A > 0, $ω > 0, 0 < φ < \\frac{π}{2}$) and the distance between two adjacent intersection points of the graph and the x-axis is $\\frac{π}{2}$, and one of the highest points on the graph is ($\\frac{π}{6}$, 3), find the analytical expression of the function f(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 is the date of death of the composer of film Manipayal?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "14 July 2015",
"style": "rule"
}
|
{
"index": 6617,
"need_tools_kwargs": true,
"question": "What is the date of death of the composer of film Manipayal?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What year was a screenwriter and co-creator for an adult animated television series revolving around the activity of the Sebben & Sebben law firm born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1966",
"style": "rule"
}
|
{
"index": 6618,
"need_tools_kwargs": true,
"question": "What year was a screenwriter and co-creator for an adult animated television series revolving around the activity of the Sebben & Sebben law firm 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": "Which American left the country to become a British citizen, Stan Lee or T. S. Eliot?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Thomas Stearns Eliot",
"style": "rule"
}
|
{
"index": 6619,
"need_tools_kwargs": true,
"question": "Which American left the country to become a British citizen, Stan Lee or T. S. Eliot?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 local government area oversees the city where the Lake Oval is located?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "City of Port Phillip",
"style": "rule"
}
|
{
"index": 6620,
"need_tools_kwargs": true,
"question": "What local government area oversees the city where the Lake Oval is located?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In an acute-angled triangle \\(ABC\\), the angle \\(\\angle BAC = 60^\\circ\\). A circle is constructed with \\(BC\\) as the diameter, which intersects side \\(AB\\) at point \\(D\\) and side \\(AC\\) at point \\(E\\). Calculate the ratio of the area of quadrilateral \\(BDEC\\) to the area of triangle \\(ABC\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{3}{4}",
"style": "rule"
}
|
{
"index": 6621,
"need_tools_kwargs": true,
"question": "In an acute-angled triangle \\(ABC\\), the angle \\(\\angle BAC = 60^\\circ\\). A circle is constructed with \\(BC\\) as the diameter, which intersects side \\(AB\\) at point \\(D\\) and side \\(AC\\) at point \\(E\\). Calculate the ratio of the area of quadrilateral \\(BDEC\\) to the area of triangle \\(ABC\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of death of Richard Watson (Politician)'s father?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "21 June 1806",
"style": "rule"
}
|
{
"index": 6622,
"need_tools_kwargs": true,
"question": "What is the date of death of Richard Watson (Politician)'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": "Today there are $2^n$ species on the planet Kerbin, all of which are exactly n steps from an original species. In an evolutionary step, One species split into exactly two new species and died out in the process. There were already $2^n-1$ species in the past, which are no longer present today can be found, but are only documented by fossils. The famous space pioneer Jebediah Kerman once suggested reducing the biodiversity of a planet by doing this to measure how closely two species are on average related, with also already extinct species should be taken into account. The degree of relationship is measured two types, of course, by how many evolutionary steps before or back you have to do at least one to get from one to the other. What is the biodiversity of the planet Kerbin?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 6623,
"need_tools_kwargs": true,
"question": "Today there are $2^n$ species on the planet Kerbin, all of which are exactly n steps from an original species. In an evolutionary step, One species split into exactly two new species and died out in the process. There were already $2^n-1$ species in the past, which are no longer present today can be found, but are only documented by fossils. The famous space pioneer Jebediah Kerman once suggested reducing the biodiversity of a planet by doing this to measure how closely two species are on average related, with also already extinct species should be taken into account. The degree of relationship is measured two types, of course, by how many evolutionary steps before or back you have to do at least one to get from one to the other. What is the biodiversity of the planet Kerbin?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 actress, known for her role as Harper Munroe on the MTV comedy series \"Happyland\", starred alongside Laura Marano, Parker Mack, Michelle Clunie and Kathleen Wilhoite in the film A Sort of Homecoming?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Katherine Grace McNamara",
"style": "rule"
}
|
{
"index": 6624,
"need_tools_kwargs": true,
"question": "Which actress, known for her role as Harper Munroe on the MTV comedy series \"Happyland\", starred alongside Laura Marano, Parker Mack, Michelle Clunie and Kathleen Wilhoite in the film A Sort of Homecoming?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What nationality is the director of film A Stranger In Town (1943 Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American",
"style": "rule"
}
|
{
"index": 6625,
"need_tools_kwargs": true,
"question": "What nationality is the director of film A Stranger In Town (1943 Film)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The vertex of the parabola $y^2 = 4x$ is $O$, and the coordinates of point $A$ are $(5, 0)$. A line $l$ with an inclination angle of $\\frac{\\pi}{4}$ intersects the line segment $OA$ (but does not pass through points $O$ and $A$) and intersects the parabola at points $M$ and $N$. The maximum area of $\\triangle AMN$ is __________.",
"role": "user"
}
] |
math
|
{
"ground_truth": "8\\sqrt{2}",
"style": "rule"
}
|
{
"index": 6626,
"need_tools_kwargs": true,
"question": "The vertex of the parabola $y^2 = 4x$ is $O$, and the coordinates of point $A$ are $(5, 0)$. A line $l$ with an inclination angle of $\\frac{\\pi}{4}$ intersects the line segment $OA$ (but does not pass through points $O$ and $A$) and intersects the parabola at points $M$ and $N$. The maximum area of $\\triangle AMN$ is __________.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let \\( G, O, D, I, \\) and \\( T \\) be digits that satisfy the following equation:\n\n\\[\n\\begin{array}{cccc}\n & G & O & G & O \\\\\n+ & D & I & D & I \\\\\n\\hline\nG & O & D & O & T\n\\end{array}\n\\]\n\n(Note that \\( G \\) and \\( D \\) cannot be \\( 0 \\), and that the five variables are not necessarily different.)\n\nCompute the value of GODOT.",
"role": "user"
}
] |
math
|
{
"ground_truth": "10908",
"style": "rule"
}
|
{
"index": 6627,
"need_tools_kwargs": true,
"question": "Let \\( G, O, D, I, \\) and \\( T \\) be digits that satisfy the following equation:\n\n\\[\n\\begin{array}{cccc}\n & G & O & G & O \\\\\n+ & D & I & D & I \\\\\n\\hline\nG & O & D & O & T\n\\end{array}\n\\]\n\n(Note that \\( G \\) and \\( D \\) cannot be \\( 0 \\), and that the five variables are not necessarily different.)\n\nCompute the value of GODOT.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Find all real solutions to the equation:\n\\[\\frac{(x - 1)(x - 3)(x - 5)(x - 6)(x - 3)(x - 1)}{(x - 3)(x - 6)(x - 3)} = 2.\\]",
"role": "user"
}
] |
math
|
{
"ground_truth": "2 + \\sqrt{2}, 2 - \\sqrt{2}",
"style": "rule"
}
|
{
"index": 6628,
"need_tools_kwargs": true,
"question": "Find all real solutions to the equation:\n\\[\\frac{(x - 1)(x - 3)(x - 5)(x - 6)(x - 3)(x - 1)}{(x - 3)(x - 6)(x - 3)} = 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": "Let $P(x) = x^2 - 4x - 4$. A real number $x$ is chosen at random from the interval $3 \\le x \\le 20$. The probability that $\\lfloor\\sqrt{P(x)}\\rfloor = \\sqrt{P(\\lfloor x \\rfloor)}$ is equal to $\\frac{\\sqrt{a} + \\sqrt{b} + \\sqrt{c} - d}{e}$ , where $a$, $b$, $c$, $d$, and $e$ are positive integers. Find $a + b + c + d + e$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "61 + 81 + 145 + 43 + 17 = 347",
"style": "rule"
}
|
{
"index": 6629,
"need_tools_kwargs": true,
"question": "Let $P(x) = x^2 - 4x - 4$. A real number $x$ is chosen at random from the interval $3 \\le x \\le 20$. The probability that $\\lfloor\\sqrt{P(x)}\\rfloor = \\sqrt{P(\\lfloor x \\rfloor)}$ is equal to $\\frac{\\sqrt{a} + \\sqrt{b} + \\sqrt{c} - d}{e}$ , where $a$, $b$, $c$, $d$, and $e$ are positive integers. Find $a + b + c + d + e$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given the system of equations $\\left\\{\\begin{array}{l}2x-y=2\\\\ y=ax+b\\end{array}\\right.$ has a solution of $\\left\\{\\begin{array}{l}x=2\\\\ y=2\\end{array}\\right.$, then the coordinates of the intersection point of the line $l_{1}$:$y=2x-2$ and the line $l_{2}$:$y=ax+b$ are ____.",
"role": "user"
}
] |
math
|
{
"ground_truth": "(2,2)",
"style": "rule"
}
|
{
"index": 6630,
"need_tools_kwargs": true,
"question": "Given the system of equations $\\left\\{\\begin{array}{l}2x-y=2\\\\ y=ax+b\\end{array}\\right.$ has a solution of $\\left\\{\\begin{array}{l}x=2\\\\ y=2\\end{array}\\right.$, then the coordinates of the intersection point of the line $l_{1}$:$y=2x-2$ and the line $l_{2}$:$y=ax+b$ are ____.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In the arithmetic sequence $20, p, q, r, s, s+10, 40$, what is the value of $s$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "30",
"style": "rule"
}
|
{
"index": 6631,
"need_tools_kwargs": true,
"question": "In the arithmetic sequence $20, p, q, r, s, s+10, 40$, what is the value of $s$?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In triangle \\(ABC\\), there is a right angle at \\(C\\), and \\(D\\) is the foot of the altitude from \\(C\\) to \\(AB\\). Points \\(L\\), \\(M\\), and \\(N\\) are the midpoints of segments \\(AD\\), \\(DC\\), and \\(CA\\), respectively. Given that \\(CL = 7\\) and \\(BM = 12\\), calculate \\(BN^2\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "193",
"style": "rule"
}
|
{
"index": 6632,
"need_tools_kwargs": true,
"question": "In triangle \\(ABC\\), there is a right angle at \\(C\\), and \\(D\\) is the foot of the altitude from \\(C\\) to \\(AB\\). Points \\(L\\), \\(M\\), and \\(N\\) are the midpoints of segments \\(AD\\), \\(DC\\), and \\(CA\\), respectively. Given that \\(CL = 7\\) and \\(BM = 12\\), calculate \\(BN^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": "Do the movies The 10th Victim and Bunker Bean, originate from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 6633,
"need_tools_kwargs": true,
"question": "Do the movies The 10th Victim and Bunker Bean, 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": "Who wrote the drama \"HUM KAHAN K SACHAY THAY\"? In which year and month was it released?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Umera Ahmad, 2021, August",
"style": "rule"
}
|
{
"index": 6634,
"need_tools_kwargs": true,
"question": "Who wrote the drama \"HUM KAHAN K SACHAY THAY\"? In which year and month was it released?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Edward Martell (Politician) and Atsede Baysa from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 6635,
"need_tools_kwargs": true,
"question": "Are Edward Martell (Politician) and Atsede Baysa 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": "Which film has the director who is older than the other, Aniki-Bóbó or Shaft (2019 film)? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Aniki-Bóbó",
"style": "rule"
}
|
{
"index": 6636,
"need_tools_kwargs": true,
"question": "Which film has the director who is older than the other, Aniki-Bóbó or Shaft (2019 film)? ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The song Skin which was included in Rihanna's Loud Tour is by who?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Barbadian",
"style": "rule"
}
|
{
"index": 6637,
"need_tools_kwargs": true,
"question": "The song Skin which was included in Rihanna's Loud Tour is by who?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which film has the director who is older, Utopia (1983 Film) or The Lawless Nineties?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "The Lawless Nineties",
"style": "rule"
}
|
{
"index": 6638,
"need_tools_kwargs": true,
"question": "Which film has the director who is older, Utopia (1983 Film) or The Lawless Nineties?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Waylon Smithers appeared an episode of The Simpsons that originally aired on January 21, 1990, and that has Homer promoted to what position?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Nuclear Safety Inspector",
"style": "rule"
}
|
{
"index": 6639,
"need_tools_kwargs": true,
"question": "Waylon Smithers appeared an episode of The Simpsons that originally aired on January 21, 1990, and that has Homer promoted to what position?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $C$. The graph symmetric to $C$ about the line $x=1$ is $C_{1}$. After moving $C_{1}$ two units to the left, we obtain the graph $C_{2}$. The function corresponding to $C_{2}$ is ($\\quad$).\nA: $y=f-(x)$\nB: $y=f(1-x)$\nC: $y=f(2-x)$\nD: $y=f(3-x)$",
"role": "user"
}
] |
math
|
{
"ground_truth": "y=f(1-x)",
"style": "rule"
}
|
{
"index": 6640,
"need_tools_kwargs": true,
"question": "The graph of the function $y=f(x)$ is $C$. The graph symmetric to $C$ about the line $x=1$ is $C_{1}$. After moving $C_{1}$ two units to the left, we obtain the graph $C_{2}$. The function corresponding to $C_{2}$ is ($\\quad$).\nA: $y=f-(x)$\nB: $y=f(1-x)$\nC: $y=f(2-x)$\nD: $y=f(3-x)$",
"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": "Given the equation \\(x + 11y + 11z = n\\) where \\(n \\in \\mathbf{Z}_{+}\\), there are 16,653 sets of positive integer solutions \\((x, y, z)\\). Find the minimum value of \\(n\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "2014",
"style": "rule"
}
|
{
"index": 6641,
"need_tools_kwargs": true,
"question": "Given the equation \\(x + 11y + 11z = n\\) where \\(n \\in \\mathbf{Z}_{+}\\), there are 16,653 sets of positive integer solutions \\((x, y, z)\\). Find the minimum 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": "\\(\\sin 3x \\sin^3 x + \\cos 3x \\cos^3 x = \\frac{1}{8}\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "x = \\pm \\frac{\\pi}{6} + \\pi k.",
"style": "rule"
}
|
{
"index": 6642,
"need_tools_kwargs": true,
"question": "\\(\\sin 3x \\sin^3 x + \\cos 3x \\cos^3 x = \\frac{1}{8}\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Jana Cilliers's husband?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "11 July 2007",
"style": "rule"
}
|
{
"index": 6643,
"need_tools_kwargs": true,
"question": "What is the date of death of Jana Cilliers's husband?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "已知 $\\forall x \\in R, f(x)=2 x^{4}+m x^{3}+(m+6) x^{2}+m x+2>0$, 求正整数 $m$ 的最大值.",
"role": "user"
}
] |
math
|
{
"ground_truth": "9",
"style": "rule"
}
|
{
"index": 6644,
"need_tools_kwargs": true,
"question": "已知 $\\forall x \\in R, f(x)=2 x^{4}+m x^{3}+(m+6) x^{2}+m x+2>0$, 求正整数 $m$ 的最大值.",
"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": "Find all prime numbers that do not have a multiple ending in $2015$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 6645,
"need_tools_kwargs": true,
"question": "Find all prime numbers that do not have a multiple ending in $2015$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which tennis player is older, Roy Emerson or Wayne Black?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Roy Stanley Emerson",
"style": "rule"
}
|
{
"index": 6646,
"need_tools_kwargs": true,
"question": "Which tennis player is older, Roy Emerson or Wayne Black?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 two small towns', Fenton, Cumbria and Brampton, Carlisle are near this large railway.",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Newcastle and Carlisle Railway",
"style": "rule"
}
|
{
"index": 6647,
"need_tools_kwargs": true,
"question": "The two small towns', Fenton, Cumbria and Brampton, Carlisle are near this large railway.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 cyclist travels the 150 kilometers from $C$ to $D$ uphill at 25 kilometers per hour, then returns to $C$ downhill at a faster speed. If the average speed for the round trip is 35 kilometers per hour, what is the downhill speed, in kilometers per hour, of the cyclist traveling from $D$ to $C$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "58.33",
"style": "rule"
}
|
{
"index": 6648,
"need_tools_kwargs": true,
"question": "A cyclist travels the 150 kilometers from $C$ to $D$ uphill at 25 kilometers per hour, then returns to $C$ downhill at a faster speed. If the average speed for the round trip is 35 kilometers per hour, what is the downhill speed, in kilometers per hour, of the cyclist traveling from $D$ to $C$?",
"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": "If $x$ is a real number and $k$ is a nonnegative integer, recall that the binomial coefficient $\\binom{x}{k}$ is defined by the formula\n\\[\n \\binom{x}{k} = \\frac{x(x - 1)(x - 2) \\dots (x - k + 1)}{k!} \\, .\n\\]Compute the value of\n\\[\n \\frac{\\binom{1/2}{2014} \\cdot 4^{2014}}{\\binom{4028}{2014}} \\, .\n\\]",
"role": "user"
}
] |
math
|
{
"ground_truth": "-\\frac{1} { 4027}",
"style": "rule"
}
|
{
"index": 6649,
"need_tools_kwargs": true,
"question": "If $x$ is a real number and $k$ is a nonnegative integer, recall that the binomial coefficient $\\binom{x}{k}$ is defined by the formula\n\\[\n \\binom{x}{k} = \\frac{x(x - 1)(x - 2) \\dots (x - k + 1)}{k!} \\, .\n\\]Compute the value of\n\\[\n \\frac{\\binom{1/2}{2014} \\cdot 4^{2014}}{\\binom{4028}{2014}} \\, .\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 country the performer of song Soldier (Neil Young Song) is from?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Canadian",
"style": "rule"
}
|
{
"index": 6650,
"need_tools_kwargs": true,
"question": "Which country the performer of song Soldier (Neil Young Song) 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": "Where was the first \"All-India Ijtema of Jamaat-e-Islami\" held?",
"role": "user"
}
] |
qa
|
{
"ground_truth": " Pathankot",
"style": "rule"
}
|
{
"index": 6651,
"need_tools_kwargs": true,
"question": "Where was the first \"All-India Ijtema of Jamaat-e-Islami\" held?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 all the firms in a country have a certain rank, which is a natural number. When two firms of ranks $m$ and $n$ merge, a new firm of rank $(m+n)$ is formed. The profit of the new firm will be $m \\cdot n$ more than the sum of the profits of the firms that formed it. The profit of a firm of the first rank is 1 unit. Does there exist a rank at which the profit of the firm will be 2016 units?",
"role": "user"
}
] |
math
|
{
"ground_truth": "63",
"style": "rule"
}
|
{
"index": 6652,
"need_tools_kwargs": true,
"question": "Let all the firms in a country have a certain rank, which is a natural number. When two firms of ranks $m$ and $n$ merge, a new firm of rank $(m+n)$ is formed. The profit of the new firm will be $m \\cdot n$ more than the sum of the profits of the firms that formed it. The profit of a firm of the first rank is 1 unit. Does there exist a rank at which the profit of the firm will be 2016 units?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 The Traveling Saleswoman?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "La Jolla",
"style": "rule"
}
|
{
"index": 6653,
"need_tools_kwargs": true,
"question": "Where was the place of death of the director of film The Traveling Saleswoman?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Quadrilateral $CDEF$ is a parallelogram. Its area is $36$ square units. Points $G$ and $H$ are the midpoints of sides $CD$ and $EF,$ respectively. What is the area of triangle $CDJ?$ [asy]\ndraw((0,0)--(30,0)--(12,8)--(22,8)--(0,0));\ndraw((10,0)--(12,8));\ndraw((20,0)--(22,8));\nlabel(\"$I$\",(0,0),W);\nlabel(\"$C$\",(10,0),S);\nlabel(\"$F$\",(20,0),S);\nlabel(\"$J$\",(30,0),E);\nlabel(\"$D$\",(12,8),N);\nlabel(\"$E$\",(22,8),N);\nlabel(\"$G$\",(11,5),W);\nlabel(\"$H$\",(21,5),E);\n[/asy]",
"role": "user"
}
] |
math
|
{
"ground_truth": "36",
"style": "rule"
}
|
{
"index": 6654,
"need_tools_kwargs": true,
"question": "Quadrilateral $CDEF$ is a parallelogram. Its area is $36$ square units. Points $G$ and $H$ are the midpoints of sides $CD$ and $EF,$ respectively. What is the area of triangle $CDJ?$ [asy]\ndraw((0,0)--(30,0)--(12,8)--(22,8)--(0,0));\ndraw((10,0)--(12,8));\ndraw((20,0)--(22,8));\nlabel(\"$I$\",(0,0),W);\nlabel(\"$C$\",(10,0),S);\nlabel(\"$F$\",(20,0),S);\nlabel(\"$J$\",(30,0),E);\nlabel(\"$D$\",(12,8),N);\nlabel(\"$E$\",(22,8),N);\nlabel(\"$G$\",(11,5),W);\nlabel(\"$H$\",(21,5),E);\n[/asy]",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the first name and surname of the actress who was the guest star that played the bride named Risa in Ally McBeal Season 3, Episode 1?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Tracy Middendorf",
"style": "rule"
}
|
{
"index": 6655,
"need_tools_kwargs": true,
"question": "What is the first name and surname of the actress who was the guest star that played the bride named Risa in Ally McBeal Season 3, Episode 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": "Consider a month with 31 days and a number forming by multiplying the two smallest primes, i.e., prime factorization is $2 * 3$. Evaluate the number of days which are relatively prime to the month's number.",
"role": "user"
}
] |
math
|
{
"ground_truth": "21",
"style": "rule"
}
|
{
"index": 6656,
"need_tools_kwargs": true,
"question": "Consider a month with 31 days and a number forming by multiplying the two smallest primes, i.e., prime factorization is $2 * 3$. Evaluate the number of days which are relatively prime to the month's number.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A school library purchased 17 identical books. How much do they cost if they paid more than 11 rubles 30 kopecks, but less than 11 rubles 40 kopecks for 9 of these books?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2142",
"style": "rule"
}
|
{
"index": 6657,
"need_tools_kwargs": true,
"question": "A school library purchased 17 identical books. How much do they cost if they paid more than 11 rubles 30 kopecks, but less than 11 rubles 40 kopecks for 9 of these books?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 diagram below, $ABCD$ is a square. Point $E$ is the midpoint of $\\overline{AD}$ . Points $F$ and $G$ lie on $\\overline{CE}$ , and $H$ and $J$ lie on $\\overline{AB}$ and $\\overline{BC}$ , respectively, so that $FGHJ$ is a square. Points $K$ and $L$ lie on $\\overline{GH}$ , and $M$ and $N$ lie on $\\overline{AD}$ and $\\overline{AB}$ , respectively, so that $KLMN$ is a square. The area of $KLMN$ is 99. Find the area of $FGHJ$ . [asy] pair A,B,C,D,E,F,G,H,J,K,L,M,N; B=(0,0); real m=7*sqrt(55)/5; J=(m,0); C=(7*m/2,0); A=(0,7*m/2); D=(7*m/2,7*m/2); E=(A+D)/2; H=(0,2m); N=(0,2m+3*sqrt(55)/2); G=foot(H,E,C); F=foot(J,E,C); draw(A--B--C--D--cycle); draw(C--E); draw(G--H--J--F); pair X=foot(N,E,C); M=extension(N,X,A,D); K=foot(N,H,G); L=foot(M,H,G); draw(K--N--M--L); label(\"$A$\",A,NW); label(\"$B$\",B,SW); label(\"$C$\",C,SE); label(\"$D$\",D,NE); label(\"$E$\",E,dir(90)); label(\"$F$\",F,NE); label(\"$G$\",G,NE); label(\"$H$\",H,W); label(\"$J$\",J,S); label(\"$K$\",K,SE); label(\"$L$\",L,SE); label(\"$M$\",M,dir(90)); label(\"$N$\",N,dir(180)); [/asy]",
"role": "user"
}
] |
math
|
{
"ground_truth": "539",
"style": "rule"
}
|
{
"index": 6658,
"need_tools_kwargs": true,
"question": "In the diagram below, $ABCD$ is a square. Point $E$ is the midpoint of $\\overline{AD}$ . Points $F$ and $G$ lie on $\\overline{CE}$ , and $H$ and $J$ lie on $\\overline{AB}$ and $\\overline{BC}$ , respectively, so that $FGHJ$ is a square. Points $K$ and $L$ lie on $\\overline{GH}$ , and $M$ and $N$ lie on $\\overline{AD}$ and $\\overline{AB}$ , respectively, so that $KLMN$ is a square. The area of $KLMN$ is 99. Find the area of $FGHJ$ . [asy] pair A,B,C,D,E,F,G,H,J,K,L,M,N; B=(0,0); real m=7*sqrt(55)/5; J=(m,0); C=(7*m/2,0); A=(0,7*m/2); D=(7*m/2,7*m/2); E=(A+D)/2; H=(0,2m); N=(0,2m+3*sqrt(55)/2); G=foot(H,E,C); F=foot(J,E,C); draw(A--B--C--D--cycle); draw(C--E); draw(G--H--J--F); pair X=foot(N,E,C); M=extension(N,X,A,D); K=foot(N,H,G); L=foot(M,H,G); draw(K--N--M--L); label(\"$A$\",A,NW); label(\"$B$\",B,SW); label(\"$C$\",C,SE); label(\"$D$\",D,NE); label(\"$E$\",E,dir(90)); label(\"$F$\",F,NE); label(\"$G$\",G,NE); label(\"$H$\",H,W); label(\"$J$\",J,S); label(\"$K$\",K,SE); label(\"$L$\",L,SE); label(\"$M$\",M,dir(90)); label(\"$N$\",N,dir(180)); [/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": "In the tetrahedron \\( A B C D \\), the lengths of the edges are given as follows: \\( A B = A C = A D = B C = 1 \\), \\( B D = \\sqrt{3} \\), and \\( C D = \\sqrt{2} \\). Determine the angle between the edges \\( A D \\) and \\( B C \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "60",
"style": "rule"
}
|
{
"index": 6659,
"need_tools_kwargs": true,
"question": "In the tetrahedron \\( A B C D \\), the lengths of the edges are given as follows: \\( A B = A C = A D = B C = 1 \\), \\( B D = \\sqrt{3} \\), and \\( C D = \\sqrt{2} \\). Determine the angle between the edges \\( A D \\) and \\( B C \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Suppose \\(\\overline{a_{1} a_{2} \\ldots a_{2009}}\\) is a 2009-digit integer such that for each \\(i=1,2, \\ldots, 2007\\), the 2-digit integer \\(\\overline{a_{i} a_{i+1}}\\) contains 3 distinct prime factors. Find \\(a_{2008}\\). \n\n(Note: \\(xyz \\ldots\\) denotes an integer whose digits are \\(x, y, z, \\ldots\\))",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
|
{
"index": 6660,
"need_tools_kwargs": true,
"question": "Suppose \\(\\overline{a_{1} a_{2} \\ldots a_{2009}}\\) is a 2009-digit integer such that for each \\(i=1,2, \\ldots, 2007\\), the 2-digit integer \\(\\overline{a_{i} a_{i+1}}\\) contains 3 distinct prime factors. Find \\(a_{2008}\\). \n\n(Note: \\(xyz \\ldots\\) denotes an integer whose digits are \\(x, y, z, \\ldots\\))",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Algimantas Mykolas Dailidė, is a former official of which Nazi-sponsored local police force that operated in Nazi-occupied Lithuania from 1941 to 1944?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Lithuanian Security Police (LSP)",
"style": "rule"
}
|
{
"index": 6661,
"need_tools_kwargs": true,
"question": "Algimantas Mykolas Dailidė, is a former official of which Nazi-sponsored local police force that operated in Nazi-occupied Lithuania from 1941 to 1944?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 mother of Buddy Alan born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "October 1, 1929",
"style": "rule"
}
|
{
"index": 6662,
"need_tools_kwargs": true,
"question": "When was the mother of Buddy Alan 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 Hindu Times\" is a song that was written by musician who was raised where?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Burnage, Manchester",
"style": "rule"
}
|
{
"index": 6663,
"need_tools_kwargs": true,
"question": "\"The Hindu Times\" is a song that was written by musician who was raised where?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 cube, the edges originating from a single vertex form a corner tetrahedron. What volume of the cube is occupied by the points that lie within the common regions of at least two corner tetrahedra?",
"role": "user"
}
] |
math
|
{
"ground_truth": "0.5a^3",
"style": "rule"
}
|
{
"index": 6664,
"need_tools_kwargs": true,
"question": "In a cube, the edges originating from a single vertex form a corner tetrahedron. What volume of the cube is occupied by the points that lie within the common regions of at least two corner tetrahedra?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Born 2 B.R.E.E.D. was co-written by the late singer-songwriter who has sold over how many records worldwide?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "100 million",
"style": "rule"
}
|
{
"index": 6665,
"need_tools_kwargs": true,
"question": "Born 2 B.R.E.E.D. was co-written by the late singer-songwriter who has sold over how many records worldwide?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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. Compute the number of words $w$ that satisfy the following three properties.\n\n1. $w$ consists of $n$ letters from the alphabet $\\{a,b,c,d\\}.$\n\n2. $w$ contains an even number of $a$'s\n\n3. $w$ contains an even number of $b$'s.\n\nFor example, for $n=2$ there are $6$ such words: $aa, bb, cc, dd, cd, dc.$\n\nThe original answer can be expressed in the form of k*4^{n-1} + m*2^{n-1}. Please find the value of k + m.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 6666,
"need_tools_kwargs": true,
"question": "Let $n$ be a positive integer. Compute the number of words $w$ that satisfy the following three properties.\n\n1. $w$ consists of $n$ letters from the alphabet $\\{a,b,c,d\\}.$\n\n2. $w$ contains an even number of $a$'s\n\n3. $w$ contains an even number of $b$'s.\n\nFor example, for $n=2$ there are $6$ such words: $aa, bb, cc, dd, cd, dc.$\n\nThe original answer can be expressed in the form of k*4^{n-1} + m*2^{n-1}. Please find the value of k + m.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Seventh Void's debut album was released on the record label of a former member, and co-founder, of what heavy metal band?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Pantera",
"style": "rule"
}
|
{
"index": 6667,
"need_tools_kwargs": true,
"question": "Seventh Void's debut album was released on the record label of a former member, and co-founder, of what heavy metal band?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "John and his best friend Steve went to a bakery and bought an assortment of baked goods. They bought 3.5 chocolate cupcakes for $1.50 each, 2.25 almond pastries for $2.75 each, and 5 raspberry muffins for $2.10 each. They also had a 20% off coupon they applied to the total cost. After using the coupon, they split the remaining cost evenly. Calculate the cost paid by each person.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\$8.78",
"style": "rule"
}
|
{
"index": 6668,
"need_tools_kwargs": true,
"question": "John and his best friend Steve went to a bakery and bought an assortment of baked goods. They bought 3.5 chocolate cupcakes for $1.50 each, 2.25 almond pastries for $2.75 each, and 5 raspberry muffins for $2.10 each. They also had a 20% off coupon they applied to the total cost. After using the coupon, they split the remaining cost evenly. Calculate the cost paid by each person.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 universal set $U = \\{x \\in \\mathbb{N}^* | x < 6\\}$, and the sets $A = \\{1,3\\}$, $B = \\{3,5\\}$. Then, the complement of $A \\cup B$ in $U$ is \\_\\_\\_\\_\\_\\_\\_\\_.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\{2,4\\}",
"style": "rule"
}
|
{
"index": 6669,
"need_tools_kwargs": true,
"question": "Let the universal set $U = \\{x \\in \\mathbb{N}^* | x < 6\\}$, and the sets $A = \\{1,3\\}$, $B = \\{3,5\\}$. Then, the complement of $A \\cup B$ in $U$ 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 is the date of death of the composer of film The Magic Cloak Of Oz?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "July 15, 1934",
"style": "rule"
}
|
{
"index": 6670,
"need_tools_kwargs": true,
"question": "What is the date of death of the composer of film The Magic Cloak Of Oz?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "According to the 2010 census, what was the population of the town loacted approcimately seven miles south of Cave Rock Tunnel?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "842",
"style": "rule"
}
|
{
"index": 6671,
"need_tools_kwargs": true,
"question": "According to the 2010 census, what was the population of the town loacted approcimately seven miles south of Cave Rock Tunnel?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 album was released earlier, Here We Go Then, You And I or Songs For The New Depression?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Songs For The New Depression",
"style": "rule"
}
|
{
"index": 6672,
"need_tools_kwargs": true,
"question": "Which album was released earlier, Here We Go Then, You And I or Songs For The New Depression?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 plane contains points \\(A\\) and \\(B\\) with \\(AB = 1\\). Let \\(S\\) be the union of all disks of radius \\(1\\) in the plane that cover \\(\\overline{AB}\\). The original answer is in the form \\(k\\pi - \\frac{\\sqrt{m}}{n}\\). Please find the value of \\(k + m + n\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "8",
"style": "rule"
}
|
{
"index": 6673,
"need_tools_kwargs": true,
"question": "A plane contains points \\(A\\) and \\(B\\) with \\(AB = 1\\). Let \\(S\\) be the union of all disks of radius \\(1\\) in the plane that cover \\(\\overline{AB}\\). The original answer is in the form \\(k\\pi - \\frac{\\sqrt{m}}{n}\\). Please find the value of \\(k + m + n\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which film came out earlier, The Flight In The Night or Deep In The Wood?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "The Flight In The Night",
"style": "rule"
}
|
{
"index": 6674,
"need_tools_kwargs": true,
"question": "Which film came out earlier, The Flight In The Night or Deep In The Wood?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Do both directors of films Omana and The Leather Saint share the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 6675,
"need_tools_kwargs": true,
"question": "Do both directors of films Omana and The Leather Saint share the same nationality?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $p$ and $q$ be real numbers so that the roots of the quadratic equation\n\\[ z^2 + (6 + pi)z + (13 + qi) = 0 \\]\nare complex conjugates. Determine the values of $p$ and $q$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "(0, 0)",
"style": "rule"
}
|
{
"index": 6676,
"need_tools_kwargs": true,
"question": "Let $p$ and $q$ be real numbers so that the roots of the quadratic equation\n\\[ z^2 + (6 + pi)z + (13 + qi) = 0 \\]\nare complex conjugates. Determine the values of $p$ and $q$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The deli has four kinds of bread, six kinds of meat, and five kinds of cheese. A sandwich consists of one type of bread, one type of meat, and one type of cheese. Ham, chicken, cheddar cheese, and white bread are each offered at the deli. If Al never orders a sandwich with a ham/cheddar cheese combination nor a sandwich with a white bread/chicken combination, how many different sandwiches could Al order?",
"role": "user"
}
] |
math
|
{
"ground_truth": "111",
"style": "rule"
}
|
{
"index": 6677,
"need_tools_kwargs": true,
"question": "The deli has four kinds of bread, six kinds of meat, and five kinds of cheese. A sandwich consists of one type of bread, one type of meat, and one type of cheese. Ham, chicken, cheddar cheese, and white bread are each offered at the deli. If Al never orders a sandwich with a ham/cheddar cheese combination nor a sandwich with a white bread/chicken combination, how many different sandwiches could Al order?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given a positive integer \\( n \\geq 2 \\), consider the polynomial \\( f(x)=x^{n}+b_{n-1} x^{n-1}+\\ldots+b_{0} \\), where \\( b_{i} \\in \\mathbb{R} \\) for \\( i=0,1,2, \\ldots, n-1 \\). If there exists an infinite geometric progression of positive integers \\( \\{a_{k}\\} \\) such that: for any positive integer \\( k \\), there exists a positive integer \\( x_{k} \\) making \\( a_{k}=f(x_{k}) \\), find all possible \\( f(x) \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "(x + a)^n",
"style": "rule"
}
|
{
"index": 6678,
"need_tools_kwargs": true,
"question": "Given a positive integer \\( n \\geq 2 \\), consider the polynomial \\( f(x)=x^{n}+b_{n-1} x^{n-1}+\\ldots+b_{0} \\), where \\( b_{i} \\in \\mathbb{R} \\) for \\( i=0,1,2, \\ldots, n-1 \\). If there exists an infinite geometric progression of positive integers \\( \\{a_{k}\\} \\) such that: for any positive integer \\( k \\), there exists a positive integer \\( x_{k} \\) making \\( a_{k}=f(x_{k}) \\), find all possible \\( f(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": "There are $k$ stones on the table. Alper, Betul, and Ceyhun take turns to remove one or two stones from the table. The player who cannot make a move loses the game, and the game ends. The game is played once for each $k=5,6,7,8,9$. If Alper is always the first player, for how many of the games can Alper guarantee that he does not lose the game?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 6679,
"need_tools_kwargs": true,
"question": "There are $k$ stones on the table. Alper, Betul, and Ceyhun take turns to remove one or two stones from the table. The player who cannot make a move loses the game, and the game ends. The game is played once for each $k=5,6,7,8,9$. If Alper is always the first player, for how many of the games can Alper guarantee that he does not lose the game?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $\\alpha$ and $\\beta$ be a pair of conjugate complex numbers. If $|\\alpha - \\beta| = 2$ and it is a real number, then $|\\alpha| = \\quad$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 6680,
"need_tools_kwargs": true,
"question": "Let $\\alpha$ and $\\beta$ be a pair of conjugate complex numbers. If $|\\alpha - \\beta| = 2$ and it is a real number, then $|\\alpha| = \\quad$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 American actor who starred in Four Brothers born ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "June 5, 1971",
"style": "rule"
}
|
{
"index": 6681,
"need_tools_kwargs": true,
"question": "when was the American actor who starred in Four Brothers 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": "How many triangles are in the figure below, where the structure consists of a square grid of dots with 3 rows and 3 columns, and triangles are formed by connecting these dots?\n[asy]\ndefaultpen(linewidth(0.7));\nfor(int i=0; i<3; ++i) {\n for(int j=0; j<3; ++j) {\n dot((i,j));\n if(i < 2) {\n draw((i,j)--(i+1,j)); // horizontal lines\n }\n if(j < 2) {\n draw((i,j)--(i,j+1)); // vertical lines\n }\n if(i < 2 && j < 2) {\n draw((i,j)--(i+1,j+1)); // diagonal lines\n draw((i+1,j)--(i,j+1)); // cross diagonal\n }\n }\n}\n[/asy]",
"role": "user"
}
] |
math
|
{
"ground_truth": "20",
"style": "rule"
}
|
{
"index": 6682,
"need_tools_kwargs": true,
"question": "How many triangles are in the figure below, where the structure consists of a square grid of dots with 3 rows and 3 columns, and triangles are formed by connecting these dots?\n[asy]\ndefaultpen(linewidth(0.7));\nfor(int i=0; i<3; ++i) {\n for(int j=0; j<3; ++j) {\n dot((i,j));\n if(i < 2) {\n draw((i,j)--(i+1,j)); // horizontal lines\n }\n if(j < 2) {\n draw((i,j)--(i,j+1)); // vertical lines\n }\n if(i < 2 && j < 2) {\n draw((i,j)--(i+1,j+1)); // diagonal lines\n draw((i+1,j)--(i,j+1)); // cross diagonal\n }\n }\n}\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": "A quadrilateral \\(ABCD\\) is inscribed in a circle. Given that \\( |DA| = |BC| = 2 \\) and \\( |AB| = 4 \\), let \\(E\\) be the intersection point of lines \\(BC\\) and \\(DA\\). If \\(\\angle AEB = 60^\\circ\\) and \\( |CD| < |AB| \\), calculate the radius of the circle in which quadrilateral \\(ABCD\\) is inscribed.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 6683,
"need_tools_kwargs": true,
"question": "A quadrilateral \\(ABCD\\) is inscribed in a circle. Given that \\( |DA| = |BC| = 2 \\) and \\( |AB| = 4 \\), let \\(E\\) be the intersection point of lines \\(BC\\) and \\(DA\\). If \\(\\angle AEB = 60^\\circ\\) and \\( |CD| < |AB| \\), calculate the radius of the circle in which quadrilateral \\(ABCD\\) is inscribed.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "设非负实数 $x, y$ 满足 $2 x+y=1$, 求 $x+\\sqrt{x^{2}+y^{2}}$ 的最小值。答案的形式为\\frac{k}{m}，请给出k+m的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "9",
"style": "rule"
}
|
{
"index": 6684,
"need_tools_kwargs": true,
"question": "设非负实数 $x, y$ 满足 $2 x+y=1$, 求 $x+\\sqrt{x^{2}+y^{2}}$ 的最小值。答案的形式为\\frac{k}{m}，请给出k+m的值。",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Evaluate the product $\\frac{1}{3} \\cdot \\frac{9}{1} \\cdot \\frac{1}{27} \\cdot \\frac{81}{1} \\dotsm \\frac{1}{6561} \\cdot \\frac{19683}{1}$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "243",
"style": "rule"
}
|
{
"index": 6685,
"need_tools_kwargs": true,
"question": "Evaluate the product $\\frac{1}{3} \\cdot \\frac{9}{1} \\cdot \\frac{1}{27} \\cdot \\frac{81}{1} \\dotsm \\frac{1}{6561} \\cdot \\frac{19683}{1}$.",
"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": "What kind of organization is AFSCME Local 77 in the university where Newman Ivey White attended?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "labor union",
"style": "rule"
}
|
{
"index": 6686,
"need_tools_kwargs": true,
"question": "What kind of organization is AFSCME Local 77 in the university where Newman Ivey White attended?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 nickname of this Romanian and authoritarian politician under whose regime the chief rabbi of Romania Alexandru Șafran succeeded in saving Jews during the Holocaust?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Conducător",
"style": "rule"
}
|
{
"index": 6687,
"need_tools_kwargs": true,
"question": "What was the nickname of this Romanian and authoritarian politician under whose regime the chief rabbi of Romania Alexandru Șafran succeeded in saving Jews during the Holocaust?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Made in England is the twenty-fifth studio album by English singer-songwriter Elton John, released in 1995, it was the last album to feature which regular English virtuoso percussionist, born on 19 September 1947?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Raymond Thomas \"Ray\" Cooper",
"style": "rule"
}
|
{
"index": 6688,
"need_tools_kwargs": true,
"question": "Made in England is the twenty-fifth studio album by English singer-songwriter Elton John, released in 1995, it was the last album to feature which regular English virtuoso percussionist, born on 19 September 1947?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 following lines in the plane: $2y - 3x = 4$, $x + 4y = 1$, and $6x - 4y = 8$. Determine how many points lie at the intersection of at least two of these lines.",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"index": 6689,
"need_tools_kwargs": true,
"question": "Consider the following lines in the plane: $2y - 3x = 4$, $x + 4y = 1$, and $6x - 4y = 8$. Determine how many points lie at the intersection of at least two of these lines.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A rectangle $ABCD$ is divided into four smaller non-overlapping rectangles by two perpendicular line segments, whose endpoints lie on the sides of $ABCD$. Given that the smallest three rectangles have areas of $48$, $18$, and $12$, determine the area of rectangle $ABCD$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "150",
"style": "rule"
}
|
{
"index": 6690,
"need_tools_kwargs": true,
"question": "A rectangle $ABCD$ is divided into four smaller non-overlapping rectangles by two perpendicular line segments, whose endpoints lie on the sides of $ABCD$. Given that the smallest three rectangles have areas of $48$, $18$, and $12$, determine the area of rectangle $ABCD$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given the ellipse \\( C: \\frac{x^{2}}{24}+\\frac{y^{2}}{16}=1 \\) and the line \\( l: \\frac{x}{12}+\\frac{y}{8}=1 \\), let \\( P \\) be a point on \\( l \\). The ray \\( OP \\) intersects the ellipse \\( C \\) at \\( R \\). Also, let \\( Q \\) be a point on \\( OP \\) such that \\(|OQ| \\cdot |OP| = |OR|^{2}\\). As \\( P \\) moves along \\( l \\), find the trajectory of point \\( Q \\) and describe the type of curve it represents.",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"index": 6691,
"need_tools_kwargs": true,
"question": "Given the ellipse \\( C: \\frac{x^{2}}{24}+\\frac{y^{2}}{16}=1 \\) and the line \\( l: \\frac{x}{12}+\\frac{y}{8}=1 \\), let \\( P \\) be a point on \\( l \\). The ray \\( OP \\) intersects the ellipse \\( C \\) at \\( R \\). Also, let \\( Q \\) be a point on \\( OP \\) such that \\(|OQ| \\cdot |OP| = |OR|^{2}\\). As \\( P \\) moves along \\( l \\), find the trajectory of point \\( Q \\) and describe the type of curve it represents.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 the positive integer x is divided by 9, the remainder is a certain number. The remainder when 6x is divided by 9 is 3. What is the remainder when x is divided by 9?",
"role": "user"
}
] |
math
|
{
"ground_truth": "30,",
"style": "rule"
}
|
{
"index": 6692,
"need_tools_kwargs": true,
"question": "When the positive integer x is divided by 9, the remainder is a certain number. The remainder when 6x is divided by 9 is 3. What is the remainder when x is divided by 9?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When did the director of film Aloha, Le Chant Des Îles die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "6 March 1968",
"style": "rule"
}
|
{
"index": 6693,
"need_tools_kwargs": true,
"question": "When did the director of film Aloha, Le Chant Des Îles 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 nationality is the performer of song A Leaf?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "British",
"style": "rule"
}
|
{
"index": 6694,
"need_tools_kwargs": true,
"question": "What nationality is the performer of song A Leaf?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Each person marked the table with an X on the day(s) he/she would not be able to attend a meeting. On which day can the most people attend a meeting? The numbers corresponding to Monday to Sunday are 1-7. Please answer with numbers.",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 6695,
"need_tools_kwargs": true,
"question": "Each person marked the table with an X on the day(s) he/she would not be able to attend a meeting. On which day can the most people attend a meeting? The numbers corresponding to Monday to Sunday are 1-7. Please answer with numbers.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In a movie theater, five friends took seats from 1 to 5 (the leftmost seat is number 1). During the movie, Anya went to get popcorn. When she returned, she found that Varya had moved one seat to the right, Galya had moved two seats to the left, and Diana and Ella had swapped seats, leaving the end seat for Anya. In which seat was Anya sitting before she got up?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"index": 6696,
"need_tools_kwargs": true,
"question": "In a movie theater, five friends took seats from 1 to 5 (the leftmost seat is number 1). During the movie, Anya went to get popcorn. When she returned, she found that Varya had moved one seat to the right, Galya had moved two seats to the left, and Diana and Ella had swapped seats, leaving the end seat for Anya. In which seat was Anya sitting before she got up?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What school district is the fourth most populous city in Colorado located in?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Poudre School District",
"style": "rule"
}
|
{
"index": 6697,
"need_tools_kwargs": true,
"question": "What school district is the fourth most populous city in Colorado located in?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Consider an acute triangle \\( \\triangle ABC \\) with circumcenter \\( O \\). The line \\( AO \\) intersects \\( BC \\) at point \\( D \\). Let \\( E \\) and \\( F \\) be the circumcenters of triangles \\( \\triangle ABD \\) and \\( \\triangle ACD \\), respectively. Given that \\( AB > AC \\) and \\( EF = BC \\), determine the difference between the angles \\( \\angle C \\) and \\( \\angle B \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "60",
"style": "rule"
}
|
{
"index": 6698,
"need_tools_kwargs": true,
"question": "Consider an acute triangle \\( \\triangle ABC \\) with circumcenter \\( O \\). The line \\( AO \\) intersects \\( BC \\) at point \\( D \\). Let \\( E \\) and \\( F \\) be the circumcenters of triangles \\( \\triangle ABD \\) and \\( \\triangle ACD \\), respectively. Given that \\( AB > AC \\) and \\( EF = BC \\), determine the difference between the angles \\( \\angle C \\) and \\( \\angle 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": "若 $a, b, c, d$ 是方程 $x^{4}+2 x^{3}+3 x^{2}+4 x+5= 0$ 的全部复数根, 求 $\\frac{a-1}{a+2}+\\frac{b-1}{b+2}+\\frac{c-1}{c+2}+\\frac{d-1}{d+2}$ 的值。答案的形式为\\frac{k}{m}，请给出k+m的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "-1",
"style": "rule"
}
|
{
"index": 6699,
"need_tools_kwargs": true,
"question": "若 $a, b, c, d$ 是方程 $x^{4}+2 x^{3}+3 x^{2}+4 x+5= 0$ 的全部复数根, 求 $\\frac{a-1}{a+2}+\\frac{b-1}{b+2}+\\frac{c-1}{c+2}+\\frac{d-1}{d+2}$ 的值。答案的形式为\\frac{k}{m}，请给出k+m的值。",
"split": "train"
}
| null |
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