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": "Were Lara Peyrot and Krzysztof Kwiatkowski of the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 6700,
"need_tools_kwargs": true,
"question": "Were Lara Peyrot and Krzysztof Kwiatkowski of 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": "A train 110 m long running at the speed of 72 km/hr takes 11.099112071034318 seconds to cross a bridge of a certain length. How long is the bridge in meters?",
"role": "user"
}
] |
math
|
{
"ground_truth": "111.98",
"style": "rule"
}
|
{
"index": 6701,
"need_tools_kwargs": true,
"question": "A train 110 m long running at the speed of 72 km/hr takes 11.099112071034318 seconds to cross a bridge of a certain length. How long is the bridge in meters?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Günter \"Bobby\" Klass was a factory driver for a company that has been successful in many branches of motorsport of which most have been in what?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "long distance races",
"style": "rule"
}
|
{
"index": 6702,
"need_tools_kwargs": true,
"question": "Günter \"Bobby\" Klass was a factory driver for a company that has been successful in many branches of motorsport of which most have been 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": "Given that \\\\(-\\frac{\\pi}{2} < \\alpha < \\frac{\\pi}{2}\\\\) and \\\\(-\\frac{\\pi}{2} < \\beta < \\frac{\\pi}{2}\\\\), and \\\\(\\tan \\alpha\\\\) and \\\\(\\tan \\beta\\\\) are the two roots of the equation \\\\(x^2 + 6x + 7 = 0\\\\), find the value of \\\\(\\alpha + \\beta\\\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "-\\frac{3\\pi}{4}",
"style": "rule"
}
|
{
"index": 6703,
"need_tools_kwargs": true,
"question": "Given that \\\\(-\\frac{\\pi}{2} < \\alpha < \\frac{\\pi}{2}\\\\) and \\\\(-\\frac{\\pi}{2} < \\beta < \\frac{\\pi}{2}\\\\), and \\\\(\\tan \\alpha\\\\) and \\\\(\\tan \\beta\\\\) are the two roots of the equation \\\\(x^2 + 6x + 7 = 0\\\\), find the value of \\\\(\\alpha + \\beta\\\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Find the least prime number greater than $1000$ that divides $2^{1010} \\cdot 23^{2020} + 1$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "1013",
"style": "rule"
}
|
{
"index": 6704,
"need_tools_kwargs": true,
"question": "Find the least prime number greater than $1000$ that divides $2^{1010} \\cdot 23^{2020} + 1$.",
"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": "Who founded an American family notable for their social prominence, wealth, business enterprises and philanthropy, who has a member by marriage who isan American poet, writer, racehorse owner/breeder, socialite, and philanthropist ? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "John Whitney",
"style": "rule"
}
|
{
"index": 6705,
"need_tools_kwargs": true,
"question": "Who founded an American family notable for their social prominence, wealth, business enterprises and philanthropy, who has a member by marriage who isan American poet, writer, racehorse owner/breeder, socialite, and philanthropist ? ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 table consists of several rows of numbers. From the second row onwards, each number in a row is equal to the sum of the two numbers directly above it. The last row contains only one number. The first row is made up of the first 100 positive integers arranged in ascending order. What is the number in the last row? (You may use exponential notation to express the number).",
"role": "user"
}
] |
math
|
{
"ground_truth": "101\\times2^{98}",
"style": "rule"
}
|
{
"index": 6706,
"need_tools_kwargs": true,
"question": "A table consists of several rows of numbers. From the second row onwards, each number in a row is equal to the sum of the two numbers directly above it. The last row contains only one number. The first row is made up of the first 100 positive integers arranged in ascending order. What is the number in the last row? (You may use exponential notation to express the 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": "Let $S$ be the set of ordered pairs $(a, b)$ of positive integers such that $\\gcd(a, b) = 1$. Compute \\[ \\sum_{(a, b) \\in S} \\left\\lfloor \\frac{300}{2a+3b} \\right\\rfloor. \\]",
"role": "user"
}
] |
math
|
{
"ground_truth": "7400",
"style": "rule"
}
|
{
"index": 6707,
"need_tools_kwargs": true,
"question": "Let $S$ be the set of ordered pairs $(a, b)$ of positive integers such that $\\gcd(a, b) = 1$. Compute \\[ \\sum_{(a, b) \\in S} \\left\\lfloor \\frac{300}{2a+3b} \\right\\rfloor. \\]",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "WHAT Is the population of the Florida county that is named after a famous Spanish conquistador?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "287,822",
"style": "rule"
}
|
{
"index": 6708,
"need_tools_kwargs": true,
"question": "WHAT Is the population of the Florida county that is named after a famous Spanish conquistador?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the name of the 10-meter sculpture that William Kentridge created in 2009?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Fire Walker",
"style": "rule"
}
|
{
"index": 6709,
"need_tools_kwargs": true,
"question": "What is the name of the 10-meter sculpture that William Kentridge created in 2009?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "An $11 \\times 11 \\times 11$ wooden cube is formed by gluing together $11^3$ unit cubes. What is the greatest number of unit cubes that can be seen from a single point?",
"role": "user"
}
] |
math
|
{
"ground_truth": "331",
"style": "rule"
}
|
{
"index": 6710,
"need_tools_kwargs": true,
"question": "An $11 \\times 11 \\times 11$ wooden cube is formed by gluing together $11^3$ unit cubes. What is the greatest number of unit cubes that can be seen from a single point?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $z_1,z_2,z_3,\\dots,z_{12}$ be the 12 zeroes of the polynomial $z^{12}-2^{36}$ . For each $j$ , let $w_j$ be one of $z_j$ or $i z_j$ . Then the maximum possible value of the real part of $\\sum_{j=1}^{12} w_j$ can be written as $m+\\sqrt{n}$ where $m$ and $n$ are positive integers. Find $m+n$ .",
"role": "user"
}
] |
math
|
{
"ground_truth": "784",
"style": "rule"
}
|
{
"index": 6711,
"need_tools_kwargs": true,
"question": "Let $z_1,z_2,z_3,\\dots,z_{12}$ be the 12 zeroes of the polynomial $z^{12}-2^{36}$ . For each $j$ , let $w_j$ be one of $z_j$ or $i z_j$ . Then the maximum possible value of the real part of $\\sum_{j=1}^{12} w_j$ can be written as $m+\\sqrt{n}$ where $m$ and $n$ are positive integers. Find $m+n$ .",
"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": "If \\( x + 2x + 3x + 4x = 5 \\), then \\( x \\) equals\n(A) 10\n(B) \\(\\frac{1}{2}\\)\n(C) \\(\\frac{5}{4}\\)\n(D) 2\n(E) \\(\\frac{5}{9}\\)",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{1}{2}",
"style": "rule"
}
|
{
"index": 6712,
"need_tools_kwargs": true,
"question": "If \\( x + 2x + 3x + 4x = 5 \\), then \\( x \\) equals\n(A) 10\n(B) \\(\\frac{1}{2}\\)\n(C) \\(\\frac{5}{4}\\)\n(D) 2\n(E) \\(\\frac{5}{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": "In the inscribed quadrilateral \\(ABCD\\), the degree measures of the angles are in the ratio \\(\\angle A: \\angle B: \\angle C = 2: 3: 4\\). Given that \\(CD = 5\\) and \\(BC = 6\\sqrt{3} - 2.5\\), determine the length of \\(AC\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "13",
"style": "rule"
}
|
{
"index": 6713,
"need_tools_kwargs": true,
"question": "In the inscribed quadrilateral \\(ABCD\\), the degree measures of the angles are in the ratio \\(\\angle A: \\angle B: \\angle C = 2: 3: 4\\). Given that \\(CD = 5\\) and \\(BC = 6\\sqrt{3} - 2.5\\), determine the length of \\(AC\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "$\\triangle ABC$ is similar to $\\triangle DEF$ . What is the number of centimeters in the length of $\\overline{EF}$ ? Express your answer as a decimal to the nearest tenth.\n\n[asy]\ndraw((0,0)--(8,-2)--(5,4)--cycle);\nlabel(\"8cm\",(2.5,2),NW);\nlabel(\"5cm\",(6.1,1),NE);\ndraw((12,0)--(18,-1.5)--(15.7,2.5)--cycle);\nlabel(\"$A$\",(8,-2),SE);\nlabel(\"3cm\",(16.9,0.5),NE);\nlabel(\"$B$\",(5,4),N);\nlabel(\"$C$\",(0,0),SW);\nlabel(\"$D$\",(18,-1.5),SE);\nlabel(\"$E$\",(15.7,2.5),N);\nlabel(\"$F$\",(12,0),N);\n[/asy]",
"role": "user"
}
] |
math
|
{
"ground_truth": "4.8",
"style": "rule"
}
|
{
"index": 6714,
"need_tools_kwargs": true,
"question": "$\\triangle ABC$ is similar to $\\triangle DEF$ . What is the number of centimeters in the length of $\\overline{EF}$ ? Express your answer as a decimal to the nearest tenth.\n\n[asy]\ndraw((0,0)--(8,-2)--(5,4)--cycle);\nlabel(\"8cm\",(2.5,2),NW);\nlabel(\"5cm\",(6.1,1),NE);\ndraw((12,0)--(18,-1.5)--(15.7,2.5)--cycle);\nlabel(\"$A$\",(8,-2),SE);\nlabel(\"3cm\",(16.9,0.5),NE);\nlabel(\"$B$\",(5,4),N);\nlabel(\"$C$\",(0,0),SW);\nlabel(\"$D$\",(18,-1.5),SE);\nlabel(\"$E$\",(15.7,2.5),N);\nlabel(\"$F$\",(12,0),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": "What is the date of death of Sigvard Gundersen's wife?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "25 December 1898",
"style": "rule"
}
|
{
"index": 6715,
"need_tools_kwargs": true,
"question": "What is the date of death of Sigvard Gundersen's wife?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Consider sequences made up entirely of $A$'s and $B$'s such that every run of consecutive $A$'s has odd length, and every run of consecutive $B$'s has even length. Find how many such sequences exist of length 15.",
"role": "user"
}
] |
math
|
{
"ground_truth": "47260",
"style": "rule"
}
|
{
"index": 6716,
"need_tools_kwargs": true,
"question": "Consider sequences made up entirely of $A$'s and $B$'s such that every run of consecutive $A$'s has odd length, and every run of consecutive $B$'s has even length. Find how many such sequences exist of length 15.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 directors of films Lovely Man and Kanalkattakal from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 6717,
"need_tools_kwargs": true,
"question": "Are both directors of films Lovely Man and Kanalkattakal 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 directed the 1966 crime film that starred the actress who played Myrna Gibbons on \"The Doris Day Show\"?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Bernard Girard",
"style": "rule"
}
|
{
"index": 6718,
"need_tools_kwargs": true,
"question": "Who directed the 1966 crime film that starred the actress who played Myrna Gibbons on \"The Doris Day Show\"?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 center of a circular field, there is a geologists' house. From it, 8 straight roads extend, dividing the field into 8 equal sectors. Two geologists set off from their house at a speed of 5 km/h along a randomly chosen road by each of them. Determine the probability that the distance between them after one hour will be more than 8 km.",
"role": "user"
}
] |
math
|
{
"ground_truth": "0.375",
"style": "rule"
}
|
{
"index": 6719,
"need_tools_kwargs": true,
"question": "In the center of a circular field, there is a geologists' house. From it, 8 straight roads extend, dividing the field into 8 equal sectors. Two geologists set off from their house at a speed of 5 km/h along a randomly chosen road by each of them. Determine the probability that the distance between them after one hour will be more than 8 km.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Compute\n\\[\\sum_{k = 2}^\\infty \\frac{k - 3}{k(k^2 - 1)}.\\]",
"role": "user"
}
] |
math
|
{
"ground_truth": "0",
"style": "rule"
}
|
{
"index": 6720,
"need_tools_kwargs": true,
"question": "Compute\n\\[\\sum_{k = 2}^\\infty \\frac{k - 3}{k(k^2 - 1)}.\\]",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is Step Nineteen of the funeral process called in Shinto tradition?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Kotsuage",
"style": "rule"
}
|
{
"index": 6721,
"need_tools_kwargs": true,
"question": "What is Step Nineteen of the funeral process called in Shinto tradition?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 maximum number of African forest elephants in typical family groups?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "20",
"style": "rule"
}
|
{
"index": 6722,
"need_tools_kwargs": true,
"question": "What is the maximum number of African forest elephants in typical family groups?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 nonzero coefficients can a polynomial $P(z)$ have if its coefficients are integers and $|P(z)| \\leq 2$ for any complex number $z$ of unit length? Please provide the sum of all possible values.",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 6723,
"need_tools_kwargs": true,
"question": "How many nonzero coefficients can a polynomial $P(z)$ have if its coefficients are integers and $|P(z)| \\leq 2$ for any complex number $z$ of unit length? Please provide the sum of all possible values.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Sue now owns 14 pairs of shoes: seven identical black pairs, four identical brown pairs, two identical gray pairs, and one pair of red shoes. If she picks two shoes at random, what is the probability that they are the same color and consist of one left and one right shoe? Express your answer as a common fraction.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{20}{63}",
"style": "rule"
}
|
{
"index": 6724,
"need_tools_kwargs": true,
"question": "Sue now owns 14 pairs of shoes: seven identical black pairs, four identical brown pairs, two identical gray pairs, and one pair of red shoes. If she picks two shoes at random, what is the probability that they are the same color and consist of one left and one right shoe? Express your answer as a common fraction.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "How many pairs of positive integers \\((m, n)\\) satisfy the inequality \\(m^2 + 2n < 40\\)?",
"role": "user"
}
] |
math
|
{
"ground_truth": "72",
"style": "rule"
}
|
{
"index": 6725,
"need_tools_kwargs": true,
"question": "How many pairs of positive integers \\((m, n)\\) satisfy the inequality \\(m^2 + 2n < 40\\)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Limited Edition is a 2002 album by the singer who is part of the genre coined by what music industry entrepreneur?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Kedar Massenburg",
"style": "rule"
}
|
{
"index": 6726,
"need_tools_kwargs": true,
"question": "Limited Edition is a 2002 album by the singer who is part of the genre coined by what music industry entrepreneur?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Find the probability that event \\(A\\) will occur 1400 times in 2400 trials if the probability of this event occurring in each trial is 0.6.",
"role": "user"
}
] |
math
|
{
"ground_truth": "0.0041",
"style": "rule"
}
|
{
"index": 6727,
"need_tools_kwargs": true,
"question": "Find the probability that event \\(A\\) will occur 1400 times in 2400 trials if the probability of this event occurring in each trial is 0.6.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who directed the 1952 film that starred the actor who won the Academy Award for Best Supporting Actor for his role in \"A Streetcar Named Desire\"?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "King Vidor",
"style": "rule"
}
|
{
"index": 6728,
"need_tools_kwargs": true,
"question": "Who directed the 1952 film that starred the actor who won the Academy Award for Best Supporting Actor for his role in \"A Streetcar Named Desire\"?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Georgia Clay is a song written by what American singer-songwriter who has recorded for Hollywood Records, Threshold Records, and DNK Records?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Joshua Bishop \"Josh\" Kelley Sr.",
"style": "rule"
}
|
{
"index": 6729,
"need_tools_kwargs": true,
"question": "Georgia Clay is a song written by what American singer-songwriter who has recorded for Hollywood Records, Threshold Records, and DNK Records?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Adrian Anthony Gill wrote his first peice of a British magazine founded in what year?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1901",
"style": "rule"
}
|
{
"index": 6730,
"need_tools_kwargs": true,
"question": "Adrian Anthony Gill wrote his first peice of a British magazine founded in what year?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given two circles $A:(x+4)^2+y^2=25$ and $B:(x-4)^2+y^2=1$, a moving circle $M$ is externally tangent to both fixed circles. Let the locus of the center of moving circle $M$ be curve $C$.\n\n(I) Find the equation of curve $C$;\n\n(II) If line $l$ intersects curve $C$ at points $P$ and $Q$, and $OP \\perp OQ$. Is $\\frac{1}{|OP|^2}+\\frac{1}{|OQ|^2}$ a constant value? If it is, find the value; if not, explain the reason.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{1}{6}",
"style": "rule"
}
|
{
"index": 6731,
"need_tools_kwargs": true,
"question": "Given two circles $A:(x+4)^2+y^2=25$ and $B:(x-4)^2+y^2=1$, a moving circle $M$ is externally tangent to both fixed circles. Let the locus of the center of moving circle $M$ be curve $C$.\n\n(I) Find the equation of curve $C$;\n\n(II) If line $l$ intersects curve $C$ at points $P$ and $Q$, and $OP \\perp OQ$. Is $\\frac{1}{|OP|^2}+\\frac{1}{|OQ|^2}$ a constant value? If it is, find the value; if not, explain the reason.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 in which Bigelow Preserve is located?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "618",
"style": "rule"
}
|
{
"index": 6732,
"need_tools_kwargs": true,
"question": "According to the 2010 census, what was the population of the town in which Bigelow Preserve 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": "A student participated in five tests, each with a maximum score of 100. The student's scores for each test were between 0 and 100, including 100. It is known that the student scored the same in the first four tests and scored higher in the last test. Given that the student's average score across the five tests was 82, determine how many possible scores the student could have received for the last test.",
"role": "user"
}
] |
math
|
{
"ground_truth": "23",
"style": "rule"
}
|
{
"index": 6733,
"need_tools_kwargs": true,
"question": "A student participated in five tests, each with a maximum score of 100. The student's scores for each test were between 0 and 100, including 100. It is known that the student scored the same in the first four tests and scored higher in the last test. Given that the student's average score across the five tests was 82, determine how many possible scores the student could have received for the last test.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 polynomial $p(x) = x^3+ax^2+bx+c$ has the property that the average of its zeros, the product of its zeros, and the sum of its coefficients are all equal. The $y$-intercept of the graph of $y=p(x)$ is $2$. The original answer is in the form of a multiple-choice option, specifically option A, corresponding to an integer k. What is the value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": "-11",
"style": "rule"
}
|
{
"index": 6734,
"need_tools_kwargs": true,
"question": "The polynomial $p(x) = x^3+ax^2+bx+c$ has the property that the average of its zeros, the product of its zeros, and the sum of its coefficients are all equal. The $y$-intercept of the graph of $y=p(x)$ is $2$. The original answer is in the form of a multiple-choice option, specifically option A, corresponding to an integer k. What is the value of k?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $g(x)$ be a third-degree polynomial with real coefficients satisfying \\[|g(-1)|=|g(0)|=|g(2)|=|g(4)|=|g(5)|=|g(8)|=24.\\] Find $|g(1)|$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "31",
"style": "rule"
}
|
{
"index": 6735,
"need_tools_kwargs": true,
"question": "Let $g(x)$ be a third-degree polynomial with real coefficients satisfying \\[|g(-1)|=|g(0)|=|g(2)|=|g(4)|=|g(5)|=|g(8)|=24.\\] Find $|g(1)|$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In $\\triangle BAC$, $\\angle BAC=40^\\circ$, $AB=10$, and $AC=6$. Points $D$ and $E$ lie on $\\overline{AB}$ and $\\overline{AC}$ respectively. Find the minimum possible value of $BE+DE+CD$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "14",
"style": "rule"
}
|
{
"index": 6736,
"need_tools_kwargs": true,
"question": "In $\\triangle BAC$, $\\angle BAC=40^\\circ$, $AB=10$, and $AC=6$. Points $D$ and $E$ lie on $\\overline{AB}$ and $\\overline{AC}$ respectively. Find the minimum possible value of $BE+DE+CD$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "令S=\\ds{m=1}{\\infty}\\ds{n=1}{\\infty}\\df{m^2n}{2^m(n2^m+m2^n)},则 [100S]=__________.",
"role": "user"
}
] |
math
|
{
"ground_truth": "200",
"style": "rule"
}
|
{
"index": 6737,
"need_tools_kwargs": true,
"question": "令S=\\ds{m=1}{\\infty}\\ds{n=1}{\\infty}\\df{m^2n}{2^m(n2^m+m2^n)},则 [100S]=__________.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Ralph has $54.00 worth of products in his cart. At the register, he asks if he could have a 20% discount on an item with a small issue. This item is $20.00 to start. They agree. Ralph also adds another item to his cart, which costs $15.00. The additional item has a 25% discount due to a promotion. He then uses a 10% coupon on his entire purchase after applying the individual item discounts (20% discount on the item with the small issue and 25% discount on the additional item). After applying all discounts, calculate Ralph's total cost including a 7% sales tax.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\$78.24",
"style": "rule"
}
|
{
"index": 6738,
"need_tools_kwargs": true,
"question": "Ralph has $54.00 worth of products in his cart. At the register, he asks if he could have a 20% discount on an item with a small issue. This item is $20.00 to start. They agree. Ralph also adds another item to his cart, which costs $15.00. The additional item has a 25% discount due to a promotion. He then uses a 10% coupon on his entire purchase after applying the individual item discounts (20% discount on the item with the small issue and 25% discount on the additional item). After applying all discounts, calculate Ralph's total cost including a 7% sales tax.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Compute $(\\cos 185^\\circ + i \\sin 185^\\circ)^{54}.$",
"role": "user"
}
] |
math
|
{
"ground_truth": "-i",
"style": "rule"
}
|
{
"index": 6739,
"need_tools_kwargs": true,
"question": "Compute $(\\cos 185^\\circ + i \\sin 185^\\circ)^{54}.$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Triangle $A B C$ is given in the plane. Let $A D$ be the angle bisector of $\\angle B A C$; let $B E$ be the altitude from $B$ to $A D$, and let $F$ be the midpoint of $A B$. Given that $A B=28, B C=33, C A=37$, what is the length of $E F$ ?",
"role": "user"
}
] |
math
|
{
"ground_truth": "14",
"style": "rule"
}
|
{
"index": 6740,
"need_tools_kwargs": true,
"question": "Triangle $A B C$ is given in the plane. Let $A D$ be the angle bisector of $\\angle B A C$; let $B E$ be the altitude from $B$ to $A D$, and let $F$ be the midpoint of $A B$. Given that $A B=28, B C=33, C A=37$, what is the length of $E F$ ?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $a$ and $b$ be the positive roots of $x^2 - 3x + 1 = 0.$ Find\n\\[\\frac{a}{\\sqrt{b}} + \\frac{b}{\\sqrt{a}}.\\]The answer is in the form k\\sqrt{m}+n,. Please provide the value of k + m + n.",
"role": "user"
}
] |
math
|
{
"ground_truth": "7",
"style": "rule"
}
|
{
"index": 6741,
"need_tools_kwargs": true,
"question": "Let $a$ and $b$ be the positive roots of $x^2 - 3x + 1 = 0.$ Find\n\\[\\frac{a}{\\sqrt{b}} + \\frac{b}{\\sqrt{a}}.\\]The answer is in the form k\\sqrt{m}+n,. Please provide 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": "What nationality is the director of film Stonewall (2015 Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "German",
"style": "rule"
}
|
{
"index": 6742,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Stonewall (2015 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": "Tom at the Farm starred a French Canadian actor who first received international acclaim in 2009 for what feature?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "I Killed My Mother",
"style": "rule"
}
|
{
"index": 6743,
"need_tools_kwargs": true,
"question": "Tom at the Farm starred a French Canadian actor who first received international acclaim in 2009 for what feature?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 film was Светлана Афанасьевна Светличная famous for?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Russian cult film",
"style": "rule"
}
|
{
"index": 6744,
"need_tools_kwargs": true,
"question": "What kind of film was Светлана Афанасьевна Светличная famous for?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "If Tim had lunch at $50.50, ordered dessert for $8.25, and had a beverage costing $3.75, a tax of 7% was applied to the bill, and he gave a 20% tip, how much did he spend in total?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\$79.38",
"style": "rule"
}
|
{
"index": 6745,
"need_tools_kwargs": true,
"question": "If Tim had lunch at $50.50, ordered dessert for $8.25, and had a beverage costing $3.75, a tax of 7% was applied to the bill, and he gave a 20% tip, how much did he spend in total?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the largest possible value of $8x^2 + 9xy + 18y^2 + 2x + 3y$ such that $4x^2 + 9y^2 = 8$, where $x, y$ are real numbers?",
"role": "user"
}
] |
math
|
{
"ground_truth": "26",
"style": "rule"
}
|
{
"index": 6746,
"need_tools_kwargs": true,
"question": "What is the largest possible value of $8x^2 + 9xy + 18y^2 + 2x + 3y$ such that $4x^2 + 9y^2 = 8$, where $x, y$ are real 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": "The 2010–11 Bristol City F.C. season began with the former player who now coaches which Indian Super League team at the helm?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Jamshedpur FC",
"style": "rule"
}
|
{
"index": 6747,
"need_tools_kwargs": true,
"question": "The 2010–11 Bristol City F.C. season began with the former player who now coaches which Indian Super League team at the helm?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 daughter of former Congressman Pat Williams co-established an American nonprofit organization that provides development grants in what country? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Democratic Republic of Congo",
"style": "rule"
}
|
{
"index": 6748,
"need_tools_kwargs": true,
"question": "The daughter of former Congressman Pat Williams co-established an American nonprofit organization that provides development grants in what country? ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What television show is the American comedian and actress that starred in a 2016 supernatural comedy film directed by Paul Feig known for?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Saturday Night Live",
"style": "rule"
}
|
{
"index": 6749,
"need_tools_kwargs": true,
"question": "What television show is the American comedian and actress that starred in a 2016 supernatural comedy film directed by Paul Feig known for?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where did the director of film Crocodile Dundee In Los Angeles study?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Cranbrook School",
"style": "rule"
}
|
{
"index": 6750,
"need_tools_kwargs": true,
"question": "Where did the director of film Crocodile Dundee In Los Angeles study?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 next movie in which Anna Kendrick will appear with the actress who played Alexis in the file \"Project X?\"",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Pitch Perfect 3",
"style": "rule"
}
|
{
"index": 6751,
"need_tools_kwargs": true,
"question": "What is the next movie in which Anna Kendrick will appear with the actress who played Alexis in the file \"Project 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": "Let $S$ be the set of positive real numbers. Let $f : S \\to \\mathbb{R}$ be a function such that\n\\[f(x) f(y) = f(xy) + 2005 \\left( \\frac{1}{x} + \\frac{1}{y} + 2004 \\right)\\]for all $x,$ $y > 0.$\n\nLet $n$ be the number of possible values of $f(2),$ and let $s$ be the sum of all possible values of $f(2).$ Find $n \\times s.$",
"role": "user"
}
] |
math
|
{
"ground_truth": "2005.5",
"style": "rule"
}
|
{
"index": 6752,
"need_tools_kwargs": true,
"question": "Let $S$ be the set of positive real numbers. Let $f : S \\to \\mathbb{R}$ be a function such that\n\\[f(x) f(y) = f(xy) + 2005 \\left( \\frac{1}{x} + \\frac{1}{y} + 2004 \\right)\\]for all $x,$ $y > 0.$\n\nLet $n$ be the number of possible values of $f(2),$ and let $s$ be the sum of all possible values of $f(2).$ Find $n \\times s.$",
"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": "Today, Ivan the Confessor prefers continuous functions $f:[0,1]\\to\\mathbb{R}$ satisfying $f(x)+f(y)\\geq |x-y|$ for all pairs $x,y\\in [0,1]$. Find the minimum of $\\int_0^1 f$ over all preferred functions.\n\n(",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{1}{4}",
"style": "rule"
}
|
{
"index": 6753,
"need_tools_kwargs": true,
"question": "Today, Ivan the Confessor prefers continuous functions $f:[0,1]\\to\\mathbb{R}$ satisfying $f(x)+f(y)\\geq |x-y|$ for all pairs $x,y\\in [0,1]$. Find the minimum of $\\int_0^1 f$ over all preferred functions.\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": "Which American singer recorded an album titled after a romantic pop music ballad from the 1950s?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Jo Stafford",
"style": "rule"
}
|
{
"index": 6754,
"need_tools_kwargs": true,
"question": "Which American singer recorded an album titled after a romantic pop music ballad from the 1950s?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 variance of the data 198, 199, 200, 201, 202 is ____.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 6755,
"need_tools_kwargs": true,
"question": "The variance of the data 198, 199, 200, 201, 202 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 title of the tenth track on the album \"Now is the Time\" by South African singer Brenda Fassie, which was released in August 1996?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "No Yana",
"style": "rule"
}
|
{
"index": 6756,
"need_tools_kwargs": true,
"question": "What is the title of the tenth track on the album \"Now is the Time\" by South African singer Brenda Fassie, which was released in August 1996?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "从正九边形中任取三个顶点构成三角形, 则正九边形的中心在三角形内的概率的原始答案为\\frac{k}{m}，请给出k+m的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "19",
"style": "rule"
}
|
{
"index": 6757,
"need_tools_kwargs": true,
"question": "从正九边形中任取三个顶点构成三角形, 则正九边形的中心在三角形内的概率的原始答案为\\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": "Compute the sum of the squares of the roots of the equation \\[x\\sqrt{x} - 8x + 9\\sqrt{x} - 2 = 0,\\] given that all of the roots are real and nonnegative.",
"role": "user"
}
] |
math
|
{
"ground_truth": "46",
"style": "rule"
}
|
{
"index": 6758,
"need_tools_kwargs": true,
"question": "Compute the sum of the squares of the roots of the equation \\[x\\sqrt{x} - 8x + 9\\sqrt{x} - 2 = 0,\\] given that all of the roots are real and nonnegative.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 season number and episode number of the scene in Breaking Bad where Walt's son wishes him dead, when he stops at the local bar and pays a barmaid to call Walter White Jr.'s school pretending to be Marie?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Season 5, episode 15",
"style": "rule"
}
|
{
"index": 6759,
"need_tools_kwargs": true,
"question": "What is the season number and episode number of the scene in Breaking Bad where Walt's son wishes him dead, when he stops at the local bar and pays a barmaid to call Walter White Jr.'s school pretending to be Marie?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Find the number of different complex numbers $z$ with the properties that $|z|=1$ and $z^{6!}-z^{5!}$ is a real number.",
"role": "user"
}
] |
math
|
{
"ground_truth": "1440",
"style": "rule"
}
|
{
"index": 6760,
"need_tools_kwargs": true,
"question": "Find the number of different complex numbers $z$ with the properties that $|z|=1$ and $z^{6!}-z^{5!}$ is a real 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": "This 1992 game for the Atari Lynx that let you play a casino game named after the French word meaning what?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "little wheel",
"style": "rule"
}
|
{
"index": 6761,
"need_tools_kwargs": true,
"question": "This 1992 game for the Atari Lynx that let you play a casino game named after the French word meaning 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": "For Gwen's birthday, she received $5.00. She spent $3.25 on candy, earned $1.50 from recycling cans, and then spent another $0.70 on a greeting card. How much money did she still have?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\$2.55",
"style": "rule"
}
|
{
"index": 6762,
"need_tools_kwargs": true,
"question": "For Gwen's birthday, she received $5.00. She spent $3.25 on candy, earned $1.50 from recycling cans, and then spent another $0.70 on a greeting card. How much money did she still have?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "How many checkered rectangles contain exactly one gray cell in this picture? The picture contains $2 \\cdot 20 = 40$ gray cells. For example, three such rectangles are circled.",
"role": "user"
}
] |
math
|
{
"ground_truth": "176",
"style": "rule"
}
|
{
"index": 6763,
"need_tools_kwargs": true,
"question": "How many checkered rectangles contain exactly one gray cell in this picture? The picture contains $2 \\cdot 20 = 40$ gray cells. For example, three such rectangles are circled.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Suppose $p(x)$ is a function such that $p(x) + (x^5+3x^3+9x) = (7x^3+24x^2+25x+1)$. Express $p(x)$ as a polynomial with the degrees of the terms in decreasing order.",
"role": "user"
}
] |
math
|
{
"ground_truth": "-x^5+4x^3+24x^2+16x+1",
"style": "rule"
}
|
{
"index": 6764,
"need_tools_kwargs": true,
"question": "Suppose $p(x)$ is a function such that $p(x) + (x^5+3x^3+9x) = (7x^3+24x^2+25x+1)$. Express $p(x)$ as a polynomial with the degrees of the terms in decreasing 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": "The parabolas given by the equations \\( y = -x^2 + 6x - 10 \\) and \\( 2y = x^2 + 6x + 13 \\) are centrally similar. Find the center of similarity.",
"role": "user"
}
] |
math
|
{
"ground_truth": "(1, 0)",
"style": "rule"
}
|
{
"index": 6765,
"need_tools_kwargs": true,
"question": "The parabolas given by the equations \\( y = -x^2 + 6x - 10 \\) and \\( 2y = x^2 + 6x + 13 \\) are centrally similar. Find the center of similarity.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Peter Marc Jacobson is best known as the co-creator of the popular sitcom \"The Nanny\", which he created and wrote with his then wife an actress born in which year ?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1957",
"style": "rule"
}
|
{
"index": 6766,
"need_tools_kwargs": true,
"question": "Peter Marc Jacobson is best known as the co-creator of the popular sitcom \"The Nanny\", which he created and wrote with his then wife an actress born in which year ?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A rabbit is eavesdropping at point \\( A \\), which is \\( 160 \\, \\text{m} \\) away from a straight railway track. The point \\( A \\) has a perpendicular projection onto the tracks at point \\( T \\). A train is approaching point \\( T \\) at a speed of \\( 30 \\, \\text{m/s} \\). The initial distance of the front of the train from point \\( T \\) is \\( 300 \\, \\text{m} \\). The rabbit can run at a speed of \\( 15 \\, \\text{m/s} \\). Can the rabbit cross the tracks in front of the train in any direction?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\left(23.21, 176.79\\right)",
"style": "rule"
}
|
{
"index": 6767,
"need_tools_kwargs": true,
"question": "A rabbit is eavesdropping at point \\( A \\), which is \\( 160 \\, \\text{m} \\) away from a straight railway track. The point \\( A \\) has a perpendicular projection onto the tracks at point \\( T \\). A train is approaching point \\( T \\) at a speed of \\( 30 \\, \\text{m/s} \\). The initial distance of the front of the train from point \\( T \\) is \\( 300 \\, \\text{m} \\). The rabbit can run at a speed of \\( 15 \\, \\text{m/s} \\). Can the rabbit cross the tracks in front of the train in any direction?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When studying the operation of a new type of cyclic thermal engine, it was found that during part of the period it receives heat, and the absolute power of heat supply is expressed by the law: \n\\[ P_{1}(t)=P_{0} \\frac{\\sin (\\omega t)}{100+\\sin (t^{2})}, \\quad 0<t<\\frac{\\pi}{\\omega}. \\] \nThe gas performs work, developing mechanical power \n\\[ P_{2}(t)=3 P_{0} \\frac{\\sin (2 \\omega t)}{100+\\sin (2 t)^{2}}, \\quad 0<t<\\frac{\\pi}{2 \\omega}. \\] \nThe work on the gas performed by external bodies is \\( \\frac{2}{3} \\) of the work performed by the gas. Determine the efficiency of the engine.",
"role": "user"
}
] |
math
|
{
"ground_truth": "0.5",
"style": "rule"
}
|
{
"index": 6768,
"need_tools_kwargs": true,
"question": "When studying the operation of a new type of cyclic thermal engine, it was found that during part of the period it receives heat, and the absolute power of heat supply is expressed by the law: \n\\[ P_{1}(t)=P_{0} \\frac{\\sin (\\omega t)}{100+\\sin (t^{2})}, \\quad 0<t<\\frac{\\pi}{\\omega}. \\] \nThe gas performs work, developing mechanical power \n\\[ P_{2}(t)=3 P_{0} \\frac{\\sin (2 \\omega t)}{100+\\sin (2 t)^{2}}, \\quad 0<t<\\frac{\\pi}{2 \\omega}. \\] \nThe work on the gas performed by external bodies is \\( \\frac{2}{3} \\) of the work performed by the gas. Determine the efficiency of the engine.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 tv series is the star of Beautiful & Twisted known for being the title character of?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Murphy Brown",
"style": "rule"
}
|
{
"index": 6769,
"need_tools_kwargs": true,
"question": "What tv series is the star of Beautiful & Twisted known for being the title character of?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who was held out for a contract dispute while University of Alabama graduate starting running back for the same team was rising to be known?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Emmitt Smith",
"style": "rule"
}
|
{
"index": 6770,
"need_tools_kwargs": true,
"question": "Who was held out for a contract dispute while University of Alabama graduate starting running back for the same team was rising to be known?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Why did the director of film An Angel From Texas die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "heart attack",
"style": "rule"
}
|
{
"index": 6771,
"need_tools_kwargs": true,
"question": "Why did the director of film An Angel From Texas die?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When was Siemens opened in the place where Johann Amman died?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1855",
"style": "rule"
}
|
{
"index": 6772,
"need_tools_kwargs": true,
"question": "When was Siemens opened in the place where Johann Amman died?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who was born first, Alessandro Golinucci or Eva Craig Graves Doughty?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Eva Craig Graves Doughty",
"style": "rule"
}
|
{
"index": 6773,
"need_tools_kwargs": true,
"question": "Who was born first, Alessandro Golinucci or Eva Craig Graves Doughty?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which film has the director who died later, The Nightcomers or Witches' Brew (Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "The Nightcomers",
"style": "rule"
}
|
{
"index": 6774,
"need_tools_kwargs": true,
"question": "Which film has the director who died later, The Nightcomers or Witches' Brew (Film)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In triangle $XYZ$, the angle bisectors are $XP$, $YQ$, and $ZR$, which intersect at the incenter $I$. If $\\angle XYZ = 24^\\circ$, find the measure of $\\angle XIZ$, in degrees.",
"role": "user"
}
] |
math
|
{
"ground_truth": "78^\\circ",
"style": "rule"
}
|
{
"index": 6775,
"need_tools_kwargs": true,
"question": "In triangle $XYZ$, the angle bisectors are $XP$, $YQ$, and $ZR$, which intersect at the incenter $I$. If $\\angle XYZ = 24^\\circ$, find the measure of $\\angle XIZ$, in degrees.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 positive integer number is written in red on each side of a square. The product of the two red numbers on the adjacent sides is written in green for each corner point. The sum of the green numbers is $40$ . Which values are possible for the sum of the red numbers?\n\n(G. Kirchner, University of Innsbruck)",
"role": "user"
}
] |
math
|
{
"ground_truth": "13142241",
"style": "rule"
}
|
{
"index": 6776,
"need_tools_kwargs": true,
"question": "A positive integer number is written in red on each side of a square. The product of the two red numbers on the adjacent sides is written in green for each corner point. The sum of the green numbers is $40$ . Which values are possible for the sum of the red numbers?\n\n(G. Kirchner, University of Innsbruck)",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "On what month, day, and year did Judge Michael W. Mosman assume senior status?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "December 27, 2021",
"style": "rule"
}
|
{
"index": 6777,
"need_tools_kwargs": true,
"question": "On what month, day, and year did Judge Michael W. Mosman assume senior status?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Victim (1961 Film) die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "23 March 1971",
"style": "rule"
}
|
{
"index": 6778,
"need_tools_kwargs": true,
"question": "When did the director of film Victim (1961 Film) die?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A student was given an assignment consisting of 20 problems. For each correctly solved problem, the student earns 8 points; for each incorrectly solved problem, the student loses 5 points; and for each problem the student did not attempt, they receive 0 points. The student received a total of 13 points. How many problems did the student attempt to solve?",
"role": "user"
}
] |
math
|
{
"ground_truth": "13",
"style": "rule"
}
|
{
"index": 6779,
"need_tools_kwargs": true,
"question": "A student was given an assignment consisting of 20 problems. For each correctly solved problem, the student earns 8 points; for each incorrectly solved problem, the student loses 5 points; and for each problem the student did not attempt, they receive 0 points. The student received a total of 13 points. How many problems did the student attempt to solve?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 base of a pyramid is a square with side length \\( a = \\sqrt{21} \\). The height of the pyramid passes through the midpoint of one of the edges of the base and is equal to \\( \\frac{a \\sqrt{3}}{2} \\). Find the radius of the sphere circumscribed around the pyramid.",
"role": "user"
}
] |
math
|
{
"ground_truth": "3.5",
"style": "rule"
}
|
{
"index": 6780,
"need_tools_kwargs": true,
"question": "The base of a pyramid is a square with side length \\( a = \\sqrt{21} \\). The height of the pyramid passes through the midpoint of one of the edges of the base and is equal to \\( \\frac{a \\sqrt{3}}{2} \\). Find the radius of the sphere circumscribed around the pyramid.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 My Own Pal?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Los Angeles",
"style": "rule"
}
|
{
"index": 6781,
"need_tools_kwargs": true,
"question": "Where was the place of death of the director of film My Own Pal?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "在 $\\triangle A B C$ 中，求 $\\sin A+\\sin B \\sin C$ 的最大值。答案的形式为\\frac{k+\\sqrt{n}}{m}，请给出k+m+n的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "8",
"style": "rule"
}
|
{
"index": 6782,
"need_tools_kwargs": true,
"question": "在 $\\triangle A B C$ 中，求 $\\sin A+\\sin B \\sin C$ 的最大值。答案的形式为\\frac{k+\\sqrt{n}}{m}，请给出k+m+n的值。",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $ m\\equal{}\\left(abab\\right)$ and $ n\\equal{}\\left(cdcd\\right)$ be four-digit numbers in decimal system. If $ m\\plus{}n$ is a perfect square, what is the largest value of $ a\\cdot b\\cdot c\\cdot d$ ? $\\textbf{(A)}\\ 392 \\qquad\\textbf{(B)}\\ 420 \\qquad\\textbf{(C)}\\ 588 \\qquad\\textbf{(D)}\\ 600 \\qquad\\textbf{(E)}\\ 750$ ",
"role": "user"
}
] |
math
|
{
"ground_truth": "600",
"style": "rule"
}
|
{
"index": 6783,
"need_tools_kwargs": true,
"question": "Let $ m\\equal{}\\left(abab\\right)$ and $ n\\equal{}\\left(cdcd\\right)$ be four-digit numbers in decimal system. If $ m\\plus{}n$ is a perfect square, what is the largest value of $ a\\cdot b\\cdot c\\cdot d$ ? $\\textbf{(A)}\\ 392 \\qquad\\textbf{(B)}\\ 420 \\qquad\\textbf{(C)}\\ 588 \\qquad\\textbf{(D)}\\ 600 \\qquad\\textbf{(E)}\\ 750$ ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Explain which set of data does not uniquely determine the shape of a triangle among the following options: \n1. The ratio of two angles and the length of one side.\n2. The ratios of the three angle bisectors.\n3. The product of two sides and the angle between them.\n4. The square of one side and the ratio of the squares of the other two sides. Justify your reasoning.",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 6784,
"need_tools_kwargs": true,
"question": "Explain which set of data does not uniquely determine the shape of a triangle among the following options: \n1. The ratio of two angles and the length of one side.\n2. The ratios of the three angle bisectors.\n3. The product of two sides and the angle between them.\n4. The square of one side and the ratio of the squares of the other two sides. Justify your reasoning.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 textile factory workshop, there are $n$ ($n>7$, $n\\in\\mathbb{N}^*$) looms, numbered 1, 2, 3, …, $n$, and there are $n$ technicians, also numbered 1, 2, 3, …, $n$. Define the notation $a_{ij}$, where if the $i$-th technician operates the $j$-th loom, then $a_{ij}=1$, otherwise $a_{ij}=0$. If the 7th loom is operated by exactly one person, then $a_{17}+a_{27}+a_{37}+a_{47}+…+a_{n7}=$ $\\boxed{1}$; if $a_{31}+a_{32}+a_{33}+a_{34}+…+a_{3n}=2$, it means $\\boxed{\\text{The 3rd technician operates 2 looms.}}$",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"index": 6785,
"need_tools_kwargs": true,
"question": "In a textile factory workshop, there are $n$ ($n>7$, $n\\in\\mathbb{N}^*$) looms, numbered 1, 2, 3, …, $n$, and there are $n$ technicians, also numbered 1, 2, 3, …, $n$. Define the notation $a_{ij}$, where if the $i$-th technician operates the $j$-th loom, then $a_{ij}=1$, otherwise $a_{ij}=0$. If the 7th loom is operated by exactly one person, then $a_{17}+a_{27}+a_{37}+a_{47}+…+a_{n7}=$ $\\boxed{1}$; if $a_{31}+a_{32}+a_{33}+a_{34}+…+a_{3n}=2$, it means $\\boxed{\\text{The 3rd technician operates 2 looms.}}$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 man who Lord Frederick Charles Cavendish was a protege of last serve as Prime Minister?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1892–94",
"style": "rule"
}
|
{
"index": 6786,
"need_tools_kwargs": true,
"question": "When did the man who Lord Frederick Charles Cavendish was a protege of last serve as Prime Minister?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who did the host of Nickelodeon's 1st Annual Kids' Choice Sports Awards play in the NFL for?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "the New York Giants",
"style": "rule"
}
|
{
"index": 6787,
"need_tools_kwargs": true,
"question": "Who did the host of Nickelodeon's 1st Annual Kids' Choice Sports Awards play in the NFL for?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given real numbers $a$ and $b$ such that $a>0$, $b>1$, and $a+b=\\frac{3}{2}$, find the minimum value of $\\frac{2}{a}+\\frac{1}{b-1}$.\n\nA: $1+2\\sqrt{2}$\nB: $2+4\\sqrt{2}$\nC: $3+2\\sqrt{2}$\nD: $6+4\\sqrt{2}$",
"role": "user"
}
] |
math
|
{
"ground_truth": "6+4\\sqrt{2}",
"style": "rule"
}
|
{
"index": 6788,
"need_tools_kwargs": true,
"question": "Given real numbers $a$ and $b$ such that $a>0$, $b>1$, and $a+b=\\frac{3}{2}$, find the minimum value of $\\frac{2}{a}+\\frac{1}{b-1}$.\n\nA: $1+2\\sqrt{2}$\nB: $2+4\\sqrt{2}$\nC: $3+2\\sqrt{2}$\nD: $6+4\\sqrt{2}$",
"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": "The monotonic increasing interval of the function $f(x)=x\\ln x$ $(x > 0)$ is ______.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\left( \\frac {1}{e},+\\infty\\right)",
"style": "rule"
}
|
{
"index": 6789,
"need_tools_kwargs": true,
"question": "The monotonic increasing interval of the function $f(x)=x\\ln x$ $(x > 0)$ 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": "Matthew Settle is known for his role on Band of Brothers as what United States Army officer who served in the 506th Parachute Infantry Regiment of the 101st Airborne Division during World War II?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Lieutenant Colonel Ronald C. Speirs",
"style": "rule"
}
|
{
"index": 6790,
"need_tools_kwargs": true,
"question": "Matthew Settle is known for his role on Band of Brothers as what United States Army officer who served in the 506th Parachute Infantry Regiment of the 101st Airborne Division during World War II?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 1961 crime drama film \"The Sinister Urge\" was written and directed by a director who passed away on which day ?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "December 10, 1978",
"style": "rule"
}
|
{
"index": 6791,
"need_tools_kwargs": true,
"question": "the 1961 crime drama film \"The Sinister Urge\" was written and directed by a director who passed away on which day ?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Full Circle included a cover of the song by which songwriter, musician, and actor?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Roger Dean Miller, Sr.",
"style": "rule"
}
|
{
"index": 6792,
"need_tools_kwargs": true,
"question": "Full Circle included a cover of the song by which songwriter, musician, and actor?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 sequence $\\left\\{a_{n}\\right\\}$ where $a_{1}=1, a_{2}=2,$ and the recurrence relation $a_{n} a_{n+1} a_{n+2}=a_{n}+a_{n+1}+a_{n+2}$ with the condition $a_{n+1} a_{n+2} \\neq 1$, find $S_{1999}=\\sum_{n=1}^{1999} a_{n}$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "3997.0",
"style": "rule"
}
|
{
"index": 6793,
"need_tools_kwargs": true,
"question": "Given the sequence $\\left\\{a_{n}\\right\\}$ where $a_{1}=1, a_{2}=2,$ and the recurrence relation $a_{n} a_{n+1} a_{n+2}=a_{n}+a_{n+1}+a_{n+2}$ with the condition $a_{n+1} a_{n+2} \\neq 1$, find $S_{1999}=\\sum_{n=1}^{1999} a_{n}$.",
"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": "The parabola $y^{2}=-4px$ rolls without slipping around the parabola $y^{2}=4px$. Find the equation of the locus of the vertex of the rolling parabola. The original answer is in the form $y=\\frac{a}{bt}x+cpt$, please provide the value of a + b + c.",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
|
{
"index": 6794,
"need_tools_kwargs": true,
"question": "The parabola $y^{2}=-4px$ rolls without slipping around the parabola $y^{2}=4px$. Find the equation of the locus of the vertex of the rolling parabola. The original answer is in the form $y=\\frac{a}{bt}x+cpt$, please provide the value of a + 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": "In trapezoid \\(ABCD\\) with bases \\(AB\\) and \\(CD\\), it is given that \\(|AD| = |CD|\\), \\(|AB| = 2|CD|\\), \\(|BC| = 24 \\text{ cm}\\), and \\(|AC| = 10 \\text{ cm}\\). Using this information, calculate the area of trapezoid \\(ABCD\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "240",
"style": "rule"
}
|
{
"index": 6795,
"need_tools_kwargs": true,
"question": "In trapezoid \\(ABCD\\) with bases \\(AB\\) and \\(CD\\), it is given that \\(|AD| = |CD|\\), \\(|AB| = 2|CD|\\), \\(|BC| = 24 \\text{ cm}\\), and \\(|AC| = 10 \\text{ cm}\\). Using this information, calculate the area of trapezoid \\(ABCD\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In an office at various times during the day, the boss gives the secretary a letter to type, each time putting the letter on top of the pile in the secretary's in-box. When there is time, the secretary takes the top letter off the pile and types it. There are nine letters to be typed during the day, and the boss delivers them in the order $1, 2, 3, 4, 5, 6, 7, 8, 9$.\nWhile leaving for lunch, the secretary tells a colleague that letter $8$ has already been typed, but says nothing else about the morning's typing. The colleague wonders which of the nine letters remain to be typed after lunch and in what order they will be typed. Based upon the above information, how many such after-lunch typing orders are possible? (That there are no letters left to be typed is one of the possibilities.)\nRe-stating the problem for clarity, let $S$ be a set arranged in increasing order. At any time an element can be appended to the end of $S$, or the last element of $S$ can be removed. The question asks for the number of different orders in which the all of the remaining elements of $S$ can be removed, given that $8$ had been removed already.",
"role": "user"
}
] |
math
|
{
"ground_truth": "704",
"style": "rule"
}
|
{
"index": 6796,
"need_tools_kwargs": true,
"question": "In an office at various times during the day, the boss gives the secretary a letter to type, each time putting the letter on top of the pile in the secretary's in-box. When there is time, the secretary takes the top letter off the pile and types it. There are nine letters to be typed during the day, and the boss delivers them in the order $1, 2, 3, 4, 5, 6, 7, 8, 9$.\nWhile leaving for lunch, the secretary tells a colleague that letter $8$ has already been typed, but says nothing else about the morning's typing. The colleague wonders which of the nine letters remain to be typed after lunch and in what order they will be typed. Based upon the above information, how many such after-lunch typing orders are possible? (That there are no letters left to be typed is one of the possibilities.)\nRe-stating the problem for clarity, let $S$ be a set arranged in increasing order. At any time an element can be appended to the end of $S$, or the last element of $S$ can be removed. The question asks for the number of different orders in which the all of the remaining elements of $S$ can be removed, given that $8$ had been removed already.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Swedish footballer led Milan to victory in the 1968 European Cup Winners' Cup Final?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Kurt Roland Hamrin",
"style": "rule"
}
|
{
"index": 6797,
"need_tools_kwargs": true,
"question": "Which Swedish footballer led Milan to victory in the 1968 European Cup Winners' Cup Final?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Calculate the result of $(-\\frac{1}{2})×(-2)$.\n\nA: $-\\frac{5}{2}$\n\nB: $-1$\n\nC: $\\frac{1}{4}$\n\nD: $1$",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"index": 6798,
"need_tools_kwargs": true,
"question": "Calculate the result of $(-\\frac{1}{2})×(-2)$.\n\nA: $-\\frac{5}{2}$\n\nB: $-1$\n\nC: $\\frac{1}{4}$\n\nD: $1$",
"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": "Let $T$ be the set of ordered triples $(x,y,z)$ of real numbers where\n\\[\\log_{10}(2x+2y) = z \\text{ and } \\log_{10}(x^{2}+2y^{2}) = z+2.\\]\nFind constants $c$ and $d$ such that for all $(x,y,z) \\in T$, the expression $x^{3} + y^{3}$ equals $c \\cdot 10^{3z} + d \\cdot 10^{z}.$ What is the value of $c+d$?\nA) $\\frac{1}{16}$\nB) $\\frac{3}{16}$\nC) $\\frac{5}{16}$\nD) $\\frac{1}{4}$\nE) $\\frac{1}{2}$",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{5}{16}",
"style": "rule"
}
|
{
"index": 6799,
"need_tools_kwargs": true,
"question": "Let $T$ be the set of ordered triples $(x,y,z)$ of real numbers where\n\\[\\log_{10}(2x+2y) = z \\text{ and } \\log_{10}(x^{2}+2y^{2}) = z+2.\\]\nFind constants $c$ and $d$ such that for all $(x,y,z) \\in T$, the expression $x^{3} + y^{3}$ equals $c \\cdot 10^{3z} + d \\cdot 10^{z}.$ What is the value of $c+d$?\nA) $\\frac{1}{16}$\nB) $\\frac{3}{16}$\nC) $\\frac{5}{16}$\nD) $\\frac{1}{4}$\nE) $\\frac{1}{2}$",
"split": "train"
}
| null |
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