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": "From a class, 5 students were selected to measure their heights (in cm), and the data obtained were 160, 162, 159, 160, 159. The variance $s^2$ of this group of data is \\_\\_\\_\\_\\_\\_.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{6}{5}",
"style": "rule"
}
|
{
"index": 6100,
"need_tools_kwargs": true,
"question": "From a class, 5 students were selected to measure their heights (in cm), and the data obtained were 160, 162, 159, 160, 159. The variance $s^2$ of this group of data is \\_\\_\\_\\_\\_\\_.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which film was released earlier, Bells Of Coronado or Reel People (Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Bells Of Coronado",
"style": "rule"
}
|
{
"index": 6101,
"need_tools_kwargs": true,
"question": "Which film was released earlier, Bells Of Coronado or Reel People (Film)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The sum of sides \\( AB \\) and \\( BC \\) of triangle \\( ABC \\) is 11, angle \\( B \\) is \\( 60^\\circ \\), and the radius of the inscribed circle is \\(\\frac{2}{\\sqrt{3}}\\). It is also known that side \\( AB \\) is longer than side \\( BC \\). Find the height of the triangle dropped from vertex \\( A \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "4\\sqrt{3}",
"style": "rule"
}
|
{
"index": 6102,
"need_tools_kwargs": true,
"question": "The sum of sides \\( AB \\) and \\( BC \\) of triangle \\( ABC \\) is 11, angle \\( B \\) is \\( 60^\\circ \\), and the radius of the inscribed circle is \\(\\frac{2}{\\sqrt{3}}\\). It is also known that side \\( AB \\) is longer than side \\( BC \\). Find the height of the triangle dropped from vertex \\( A \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A student multiplied the number 84 by the repeating decimal \n\\[ 1.\\overline{c \\ d}, \\]\nwhere \\(c\\) and \\(d\\) are digits, thinking it was \\(1.cd\\) instead of \\(1.\\overline{cd}\\). After recalculating, he noticed his answer was 0.6 less than the correct answer. Identify the two-digit number \\(cd\\).\nA) 60 \nB) 65 \nC) 70 \nD) 71 \nE) 75",
"role": "user"
}
] |
math
|
{
"ground_truth": "The final answer is \\(\\boxed{D}\\).",
"style": "rule"
}
|
{
"index": 6103,
"need_tools_kwargs": true,
"question": "A student multiplied the number 84 by the repeating decimal \n\\[ 1.\\overline{c \\ d}, \\]\nwhere \\(c\\) and \\(d\\) are digits, thinking it was \\(1.cd\\) instead of \\(1.\\overline{cd}\\). After recalculating, he noticed his answer was 0.6 less than the correct answer. Identify the two-digit number \\(cd\\).\nA) 60 \nB) 65 \nC) 70 \nD) 71 \nE) 75",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 of the 343 smallest positive integers written in base 7 use 4 or 5 (or both) as a digit?",
"role": "user"
}
] |
math
|
{
"ground_truth": "218",
"style": "rule"
}
|
{
"index": 6104,
"need_tools_kwargs": true,
"question": "How many of the 343 smallest positive integers written in base 7 use 4 or 5 (or both) as a digit?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given the function $f(x)= \\begin{cases}x-1,0 < x\\leqslant 2 \\\\ -1,-2\\leqslant x\\leqslant 0 \\end{cases}$, and $g(x)=f(x)+ax$, where $x\\in[-2,2]$, if $g(x)$ is an even function, find the value of the real number $a$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "-\\dfrac{1}{2}",
"style": "rule"
}
|
{
"index": 6105,
"need_tools_kwargs": true,
"question": "Given the function $f(x)= \\begin{cases}x-1,0 < x\\leqslant 2 \\\\ -1,-2\\leqslant x\\leqslant 0 \\end{cases}$, and $g(x)=f(x)+ax$, where $x\\in[-2,2]$, if $g(x)$ is an even function, find the value of the real number $a$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Do director of film Srimadvirat Veerabrahmendra Swami Charitra and director of film She Married An Artist share the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 6106,
"need_tools_kwargs": true,
"question": "Do director of film Srimadvirat Veerabrahmendra Swami Charitra and director of film She Married An Artist share the same nationality?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What do Cistus and Kohleria have in common?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "flowering plant",
"style": "rule"
}
|
{
"index": 6107,
"need_tools_kwargs": true,
"question": "What do Cistus and Kohleria have in common?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A vendor sells 60 percent of the apples he had and throws away some percent of the remainder. The next day, the vendor sells 50 percent of the remaining apples and throws away the rest. In total, the vendor throws away 28 percent of his apples. What percent of the remaining apples does the vendor throw away on the first day?",
"role": "user"
}
] |
math
|
{
"ground_truth": "40\\%",
"style": "rule"
}
|
{
"index": 6108,
"need_tools_kwargs": true,
"question": "A vendor sells 60 percent of the apples he had and throws away some percent of the remainder. The next day, the vendor sells 50 percent of the remaining apples and throws away the rest. In total, the vendor throws away 28 percent of his apples. What percent of the remaining apples does the vendor throw away on the first 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": "Which American comedian and actor born in 1952 made a cameo in the movie Comedian?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "George Wallace",
"style": "rule"
}
|
{
"index": 6109,
"need_tools_kwargs": true,
"question": "Which American comedian and actor born in 1952 made a cameo in the movie Comedian?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 decimal number that is equal to the binary number $110_{(2)}$ is ( )\nA: 6\nB: 7\nC: 10\nD: 11",
"role": "user"
}
] |
math
|
{
"ground_truth": "A: 6",
"style": "rule"
}
|
{
"index": 6110,
"need_tools_kwargs": true,
"question": "The decimal number that is equal to the binary number $110_{(2)}$ is ( )\nA: 6\nB: 7\nC: 10\nD: 11",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The main ingredients of Braulio liquor are medicinal herbs, fruits, roots, and berries that originally were collected on the slopes of what valley?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Braulio Valley",
"style": "rule"
}
|
{
"index": 6111,
"need_tools_kwargs": true,
"question": "The main ingredients of Braulio liquor are medicinal herbs, fruits, roots, and berries that originally were collected on the slopes of what valley?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Tooheys Extra Dry and Hahn Brewery were accquired by which company in 2009",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Japanese Kirin Company",
"style": "rule"
}
|
{
"index": 6112,
"need_tools_kwargs": true,
"question": "Tooheys Extra Dry and Hahn Brewery were accquired by which company 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": "Suppose P is a point of intersection of the hyperbola C₁: $\\frac{x^{2}}{a^{2}} - \\frac{y^{2}}{b^{2}} = 1 (a > 0, b > 0)$ and the circle C₂: $x^2 + y^2 = a^2 + b^2$, and ∠PF₂F₁ = 2∠PF₁F₂, where F₁ and F₂ are the two foci of the hyperbola C₁. Then, the eccentricity of the hyperbola C₁ is \\_\\_\\_\\_\\_\\_.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\sqrt{3} + 1",
"style": "rule"
}
|
{
"index": 6113,
"need_tools_kwargs": true,
"question": "Suppose P is a point of intersection of the hyperbola C₁: $\\frac{x^{2}}{a^{2}} - \\frac{y^{2}}{b^{2}} = 1 (a > 0, b > 0)$ and the circle C₂: $x^2 + y^2 = a^2 + b^2$, and ∠PF₂F₁ = 2∠PF₁F₂, where F₁ and F₂ are the two foci of the hyperbola C₁. Then, the eccentricity of the hyperbola C₁ 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": "The equation \\(5 z^{4}+10 z^{3}+10 z^{2}+5 z+1=0\\) has four complex roots. The real part of the complex root with the largest modulus is \\(\\qquad\\) _.",
"role": "user"
}
] |
math
|
{
"ground_truth": "-\\frac{1}{2}",
"style": "rule"
}
|
{
"index": 6114,
"need_tools_kwargs": true,
"question": "The equation \\(5 z^{4}+10 z^{3}+10 z^{2}+5 z+1=0\\) has four complex roots. The real part of the complex root with the largest modulus is \\(\\qquad\\) _.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 city with 10 parallel streets and 10 streets crossing them at right angles, what is the minimum number of turns that a closed bus route passing through all intersections can have?",
"role": "user"
}
] |
math
|
{
"ground_truth": "20",
"style": "rule"
}
|
{
"index": 6115,
"need_tools_kwargs": true,
"question": "In a city with 10 parallel streets and 10 streets crossing them at right angles, what is the minimum number of turns that a closed bus route passing through all intersections can 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": "In spherical coordinates, the point $\\left( 3, \\frac{2 \\pi}{7}, \\frac{8 \\pi}{5} \\right)$ is equivalent to what other point, in the standard spherical coordinate representation? Enter your answer in the form $(\\rho,\\theta,\\phi),$ where $\\rho > 0,$ $0 \\le \\theta < 2 \\pi,$ and $0 \\le \\phi \\le \\pi.$",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\left( 3, \\frac{9 \\pi}{7}, \\frac{2 \\pi}{5} \\right)",
"style": "rule"
}
|
{
"index": 6116,
"need_tools_kwargs": true,
"question": "In spherical coordinates, the point $\\left( 3, \\frac{2 \\pi}{7}, \\frac{8 \\pi}{5} \\right)$ is equivalent to what other point, in the standard spherical coordinate representation? Enter your answer in the form $(\\rho,\\theta,\\phi),$ where $\\rho > 0,$ $0 \\le \\theta < 2 \\pi,$ and $0 \\le \\phi \\le \\pi.$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Determine the minimum of the expression\n\n$$\n\\frac{2}{|a-b|}+\\frac{2}{|b-c|}+\\frac{2}{|c-a|}+\\frac{5}{\\sqrt{ab+bc+ca}}\n$$\n\nunder the conditions that \\(ab + bc + ca > 0\\), \\(a + b + c = 1\\), and \\(a, b, c\\) are distinct.",
"role": "user"
}
] |
math
|
{
"ground_truth": "10\\sqrt{6}",
"style": "rule"
}
|
{
"index": 6117,
"need_tools_kwargs": true,
"question": "Determine the minimum of the expression\n\n$$\n\\frac{2}{|a-b|}+\\frac{2}{|b-c|}+\\frac{2}{|c-a|}+\\frac{5}{\\sqrt{ab+bc+ca}}\n$$\n\nunder the conditions that \\(ab + bc + ca > 0\\), \\(a + b + c = 1\\), and \\(a, b, c\\) are distinct.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 ends does a game of the sport, which Elisabeth Högström plays, consist of?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "eight or ten",
"style": "rule"
}
|
{
"index": 6118,
"need_tools_kwargs": true,
"question": "How many ends does a game of the sport, which Elisabeth Högström plays, consist 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": "A dresser contains a mix of red, blue, and yellow socks, with a maximum of 2300 socks in total. When three socks are selected randomly without replacement, there is a probability exactly equal to $\\frac{1}{3}$ that all three are of the same color. What is the largest possible number of red socks that can be in the dresser, given these conditions?",
"role": "user"
}
] |
math
|
{
"ground_truth": "897",
"style": "rule"
}
|
{
"index": 6119,
"need_tools_kwargs": true,
"question": "A dresser contains a mix of red, blue, and yellow socks, with a maximum of 2300 socks in total. When three socks are selected randomly without replacement, there is a probability exactly equal to $\\frac{1}{3}$ that all three are of the same color. What is the largest possible number of red socks that can be in the dresser, given these conditions?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the place of birth of the director of film Alias Mike Moran?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Ogden",
"style": "rule"
}
|
{
"index": 6120,
"need_tools_kwargs": true,
"question": "What is the place of birth of the director of film Alias Mike Moran?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 rectangle \\(ABCD\\), the ratio of the lengths of sides \\(AB\\) to \\(AD\\) is \\(1:2\\). Point \\(M\\) is the midpoint of side \\(AB\\), and point \\(K\\) lies on side \\(AD\\), dividing it in the ratio \\(3:1\\) starting from point \\(A\\). Calculate the sum of the angles \\(\\angle CAD\\) and \\(\\angle AKM\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "90",
"style": "rule"
}
|
{
"index": 6121,
"need_tools_kwargs": true,
"question": "In rectangle \\(ABCD\\), the ratio of the lengths of sides \\(AB\\) to \\(AD\\) is \\(1:2\\). Point \\(M\\) is the midpoint of side \\(AB\\), and point \\(K\\) lies on side \\(AD\\), dividing it in the ratio \\(3:1\\) starting from point \\(A\\). Calculate the sum of the angles \\(\\angle CAD\\) and \\(\\angle AKM\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Determine all real numbers $ a$ such that the inequality $ |x^2 + ax + 4a| \\leq 3$ has exactly one solution in $ x$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "8 + 2\\sqrt{13}, 8 - 2\\sqrt{13}",
"style": "rule"
}
|
{
"index": 6122,
"need_tools_kwargs": true,
"question": "Determine all real numbers $ a$ such that the inequality $ |x^2 + ax + 4a| \\leq 3$ has exactly one solution in $ 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": "For each real number \\(a\\) with \\(0 \\leq a \\leq 1\\), let numbers \\(x\\) and \\(y\\) be chosen independently at random from the intervals \\([0, a]\\) and \\([0, 1]\\), respectively, and let \\(P(a)\\) be the probability that\n\\(\\sin^2{(\\pi x)} + \\sin^2{(\\pi y)} > 1\\).\nFind the maximum value of \\(P(a)\\). The original answer is in the form \\(k - \\sqrt{m}\\), please give the value of \\(k + m\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"index": 6123,
"need_tools_kwargs": true,
"question": "For each real number \\(a\\) with \\(0 \\leq a \\leq 1\\), let numbers \\(x\\) and \\(y\\) be chosen independently at random from the intervals \\([0, a]\\) and \\([0, 1]\\), respectively, and let \\(P(a)\\) be the probability that\n\\(\\sin^2{(\\pi x)} + \\sin^2{(\\pi y)} > 1\\).\nFind the maximum value of \\(P(a)\\). The original answer is in the form \\(k - \\sqrt{m}\\), please give the value of \\(k + m\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "At a sumo wrestling tournament, 20 sumo wrestlers participated. After weighing, it was found that the average weight of the wrestlers is 125 kg. What is the maximum possible number of wrestlers weighing more than 131 kg, given that according to the rules, individuals weighing less than 90 kg cannot participate in sumo wrestling?",
"role": "user"
}
] |
math
|
{
"ground_truth": "17",
"style": "rule"
}
|
{
"index": 6124,
"need_tools_kwargs": true,
"question": "At a sumo wrestling tournament, 20 sumo wrestlers participated. After weighing, it was found that the average weight of the wrestlers is 125 kg. What is the maximum possible number of wrestlers weighing more than 131 kg, given that according to the rules, individuals weighing less than 90 kg cannot participate in sumo wrestling?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 \\( x y z + y + z = 12 \\), find the maximum value of \\( \\log_{4} x + \\log_{2} y + \\log_{2} z \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "3.00",
"style": "rule"
}
|
{
"index": 6125,
"need_tools_kwargs": true,
"question": "Given \\( x y z + y + z = 12 \\), find the maximum value of \\( \\log_{4} x + \\log_{2} y + \\log_{2} z \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Persiana Jones and Max Frost And The Troopers from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 6126,
"need_tools_kwargs": true,
"question": "Are both Persiana Jones and Max Frost And The Troopers 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": "Solve the equation\n\n\\[ x^3 - 7x^2 + 36 = 0 \\]\n\ngiven that the product of two of its roots is 18.",
"role": "user"
}
] |
math
|
{
"ground_truth": "3, 6, -2",
"style": "rule"
}
|
{
"index": 6127,
"need_tools_kwargs": true,
"question": "Solve the equation\n\n\\[ x^3 - 7x^2 + 36 = 0 \\]\n\ngiven that the product of two of its roots is 18.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Two circles are tangent to the x-axis, with centers at $(3,3)$ and $(16,5)$. What is the distance between the closest points of the two circles?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\sqrt{173} - 8",
"style": "rule"
}
|
{
"index": 6128,
"need_tools_kwargs": true,
"question": "Two circles are tangent to the x-axis, with centers at $(3,3)$ and $(16,5)$. What is the distance between the closest points of the two circles?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 villager A and a motorcycle with a passenger, villager B, set off at the same time from the village to the station along a single road. Before reaching the station, the motorcyclist dropped off villager B and immediately went back towards the village, while villager B walked to the station. Upon meeting villager A, the motorcyclist picked him up and took him to the station. As a result, both villagers arrived at the station simultaneously. What fraction of the journey from the village to the station did villager A travel by motorcycle, considering that both villagers walked at the same speed, which was 9 times slower than the speed of the motorcycle?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{5}{6}",
"style": "rule"
}
|
{
"index": 6129,
"need_tools_kwargs": true,
"question": "A villager A and a motorcycle with a passenger, villager B, set off at the same time from the village to the station along a single road. Before reaching the station, the motorcyclist dropped off villager B and immediately went back towards the village, while villager B walked to the station. Upon meeting villager A, the motorcyclist picked him up and took him to the station. As a result, both villagers arrived at the station simultaneously. What fraction of the journey from the village to the station did villager A travel by motorcycle, considering that both villagers walked at the same speed, which was 9 times slower than the speed of the motorcycle?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "称平面上边平行于坐标轴的矩形为一个箱子. 如果两个箱子有公共点（包括边界），则称它们相交. 求最大的正整数 n，使得存在 n 个箱子 B_1, B_2, \\cdots, B_n，满足 B_i 与 B_j 相交当且仅当 i\\not\\equiv j\\pm1\\pmod{n}.",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
|
{
"index": 6130,
"need_tools_kwargs": true,
"question": "称平面上边平行于坐标轴的矩形为一个箱子. 如果两个箱子有公共点（包括边界），则称它们相交. 求最大的正整数 n，使得存在 n 个箱子 B_1, B_2, \\cdots, B_n，满足 B_i 与 B_j 相交当且仅当 i\\not\\equiv j\\pm1\\pmod{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 are both Couples and \"Heroes\"?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "albums",
"style": "rule"
}
|
{
"index": 6131,
"need_tools_kwargs": true,
"question": "What are both Couples and \"Heroes\"?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who is the model in the video for She Doesn't Mind by the lyricist of Wine It Up?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Lisa Jackson",
"style": "rule"
}
|
{
"index": 6132,
"need_tools_kwargs": true,
"question": "Who is the model in the video for She Doesn't Mind by the lyricist of Wine It Up?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Choi Seung-hyun composed the song Doom Dada with who?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Choice37",
"style": "rule"
}
|
{
"index": 6133,
"need_tools_kwargs": true,
"question": "Choi Seung-hyun composed the song Doom Dada with who?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The sum of the ages of three people A, B, and C, denoted as \\(x, y, z\\), is 120, with \\(x, y, z \\in (20, 60)\\). How many ordered triples \\((x, y, z)\\) satisfy this condition?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1198",
"style": "rule"
}
|
{
"index": 6134,
"need_tools_kwargs": true,
"question": "The sum of the ages of three people A, B, and C, denoted as \\(x, y, z\\), is 120, with \\(x, y, z \\in (20, 60)\\). How many ordered triples \\((x, y, z)\\) satisfy this condition?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 area of the country which hosted the 1912 Summer Olympics?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "450295 km2",
"style": "rule"
}
|
{
"index": 6135,
"need_tools_kwargs": true,
"question": "What is the area of the country which hosted the 1912 Summer Olympics?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who is the father of the composer of film Vamsanikokkadu?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Saluri Rajeswara Rao",
"style": "rule"
}
|
{
"index": 6136,
"need_tools_kwargs": true,
"question": "Who is the father of the composer of film Vamsanikokkadu?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Find all possible values of \\( \\frac{1}{a}\\left(\\frac{1}{b}+\\frac{1}{c}+\\frac{1}{b+c}\\right)+\\frac{1}{b}\\left(\\frac{1}{c}+\\frac{1}{a}+\\frac{1}{c+a}\\right)+\\frac{1}{c}\\left(\\frac{1}{a}+\\frac{1}{b}+\\frac{1}{a+b}\\right)-\\frac{1}{a+b+c}\\left(\\frac{1}{a}+\\frac{1}{b}+\\frac{1}{c}+\\frac{1}{a+b}+\\frac{1}{b+c}+\\frac{1}{c+a}\\right)+\\frac{1}{a^2}+\\frac{1}{b^2}+\\frac{1}{c^2} \\) where \\( a, b, \\) and \\( c \\) are positive real numbers such that \\( ab+bc+ca=abc \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"index": 6137,
"need_tools_kwargs": true,
"question": "Find all possible values of \\( \\frac{1}{a}\\left(\\frac{1}{b}+\\frac{1}{c}+\\frac{1}{b+c}\\right)+\\frac{1}{b}\\left(\\frac{1}{c}+\\frac{1}{a}+\\frac{1}{c+a}\\right)+\\frac{1}{c}\\left(\\frac{1}{a}+\\frac{1}{b}+\\frac{1}{a+b}\\right)-\\frac{1}{a+b+c}\\left(\\frac{1}{a}+\\frac{1}{b}+\\frac{1}{c}+\\frac{1}{a+b}+\\frac{1}{b+c}+\\frac{1}{c+a}\\right)+\\frac{1}{a^2}+\\frac{1}{b^2}+\\frac{1}{c^2} \\) where \\( a, b, \\) and \\( c \\) are positive real numbers such that \\( ab+bc+ca=abc \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which country the director of film Sinful Davey is from?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American",
"style": "rule"
}
|
{
"index": 6138,
"need_tools_kwargs": true,
"question": "Which country the director of film Sinful Davey is from?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the place of birth of Janusz Różycki's father?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Vilshana",
"style": "rule"
}
|
{
"index": 6139,
"need_tools_kwargs": true,
"question": "What is the place of birth of Janusz Różycki's father?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Compared to the Miami and Erie Canal, how was the Dundee Canal better?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "It supplied hydropower and water for manufacturing",
"style": "rule"
}
|
{
"index": 6140,
"need_tools_kwargs": true,
"question": "Compared to the Miami and Erie Canal, how was the Dundee Canal better?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given the function $f(x) = |\\ln x|$, the solution set of the inequality $f(x) - f(x_0) \\geq c(x - x_0)$ is $(0, +\\infty)$, where $x_0 \\in (0, +\\infty)$, and $c$ is a constant. When $x_0 = 1$, the range of values for $c$ is \\_\\_\\_\\_\\_\\_; when $x_0 = \\frac{1}{2}$, the value of $c$ is \\_\\_\\_\\_\\_\\_.",
"role": "user"
}
] |
math
|
{
"ground_truth": "-2",
"style": "rule"
}
|
{
"index": 6141,
"need_tools_kwargs": true,
"question": "Given the function $f(x) = |\\ln x|$, the solution set of the inequality $f(x) - f(x_0) \\geq c(x - x_0)$ is $(0, +\\infty)$, where $x_0 \\in (0, +\\infty)$, and $c$ is a constant. When $x_0 = 1$, the range of values for $c$ is \\_\\_\\_\\_\\_\\_; when $x_0 = \\frac{1}{2}$, the value of $c$ 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": "Given the polar equation of a conic section $\\rho=\\frac{5}{3-2 \\cos \\theta}$, find the distance between its focus and the corresponding directrix:",
"role": "user"
}
] |
math
|
{
"ground_truth": "$\\frac{5}{2}$",
"style": "rule"
}
|
{
"index": 6142,
"need_tools_kwargs": true,
"question": "Given the polar equation of a conic section $\\rho=\\frac{5}{3-2 \\cos \\theta}$, find the distance between its focus and the corresponding directrix:",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 segment connecting the centers of two intersecting circles is divided by their common chord into segments equal to 5 and 2. Find the length of the common chord, given that the radii of the circles are in the ratio \\(4: 3\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "2\\sqrt{23}",
"style": "rule"
}
|
{
"index": 6143,
"need_tools_kwargs": true,
"question": "A segment connecting the centers of two intersecting circles is divided by their common chord into segments equal to 5 and 2. Find the length of the common chord, given that the radii of the circles are in the ratio \\(4: 3\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Solve the inequality\n\\[-12x^2 + 3x - 5 < 0.\\]",
"role": "user"
}
] |
math
|
{
"ground_truth": "(-\\infty,\\infty)",
"style": "rule"
}
|
{
"index": 6144,
"need_tools_kwargs": true,
"question": "Solve the inequality\n\\[-12x^2 + 3x - 5 < 0.\\]",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Eight people are sitting around a circular table, each holding a fair coin. All eight people flip their coins and those who flip heads stand while those who flip tails remain seated. What is the probability that no two adjacent people will stand?\n$\\textbf{(A)}\\dfrac{47}{256}\\qquad\\textbf{(B)}\\dfrac{3}{16}\\qquad\\textbf{(C) }\\dfrac{49}{256}\\qquad\\textbf{(D) }\\dfrac{25}{128}\\qquad\\textbf{(E) }\\dfrac{51}{256}$",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{47}{256}",
"style": "rule"
}
|
{
"index": 6145,
"need_tools_kwargs": true,
"question": "Eight people are sitting around a circular table, each holding a fair coin. All eight people flip their coins and those who flip heads stand while those who flip tails remain seated. What is the probability that no two adjacent people will stand?\n$\\textbf{(A)}\\dfrac{47}{256}\\qquad\\textbf{(B)}\\dfrac{3}{16}\\qquad\\textbf{(C) }\\dfrac{49}{256}\\qquad\\textbf{(D) }\\dfrac{25}{128}\\qquad\\textbf{(E) }\\dfrac{51}{256}$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 the equation $\\frac{n}{x-1}+\\frac{2}{1-x}=1$ has a positive root with respect to $x$, then the value of $n$ is ______.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 6146,
"need_tools_kwargs": true,
"question": "If the equation $\\frac{n}{x-1}+\\frac{2}{1-x}=1$ has a positive root with respect to $x$, then the value of $n$ 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": "Lawrence Ferlinghetti and A. R. Ammons both were know for what type of writing?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American poet",
"style": "rule"
}
|
{
"index": 6147,
"need_tools_kwargs": true,
"question": "Lawrence Ferlinghetti and A. R. Ammons both were know for what type of writing?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who is the spouse of the performer of song Wake Up (Hilary Duff Song)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Mike Comrie",
"style": "rule"
}
|
{
"index": 6148,
"need_tools_kwargs": true,
"question": "Who is the spouse of the performer of song Wake Up (Hilary Duff Song)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which New York Times best selling author also hosted an American news and talk show that co-hosted Mavericks owner Mark Cuban and television producer Mark McKinnon in its first episode.",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Eric Bolling",
"style": "rule"
}
|
{
"index": 6149,
"need_tools_kwargs": true,
"question": "Which New York Times best selling author also hosted an American news and talk show that co-hosted Mavericks owner Mark Cuban and television producer Mark McKinnon in its first episode.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 artist was associated with a band winning more gold and platinum records, Matt Skiba or Randy Owen?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Randy Yeuell Owen",
"style": "rule"
}
|
{
"index": 6150,
"need_tools_kwargs": true,
"question": "Which artist was associated with a band winning more gold and platinum records, Matt Skiba or Randy Owen?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Do both directors of films The Last of the Unjust and The Sky Hawk share the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 6151,
"need_tools_kwargs": true,
"question": "Do both directors of films The Last of the Unjust and The Sky Hawk share the same nationality?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A rectangular piece of metal has dimensions 10 units by 6 units. A circular piece of maximum diameter is cut out from this rectangle, with the longest dimension serving as the diameter. Then, a square piece of maximum size is cut out from the circular piece. Calculate the total amount of metal wasted.",
"role": "user"
}
] |
math
|
{
"ground_truth": "42",
"style": "rule"
}
|
{
"index": 6152,
"need_tools_kwargs": true,
"question": "A rectangular piece of metal has dimensions 10 units by 6 units. A circular piece of maximum diameter is cut out from this rectangle, with the longest dimension serving as the diameter. Then, a square piece of maximum size is cut out from the circular piece. Calculate the total amount of metal wasted.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $f(x+2)$ is an even function on $\\mathbb{R}$, and when $x>2$, $f(x)=x^2+1$. Determine $f(x)$ for $x<2$. \nA. $x^2+1$ B. $x^2-8x+5$ C. $x^2+4x+5$ D. $x^2-8x+17$",
"role": "user"
}
] |
math
|
{
"ground_truth": "x^2 - 8x + 17",
"style": "rule"
}
|
{
"index": 6153,
"need_tools_kwargs": true,
"question": "Given that $f(x+2)$ is an even function on $\\mathbb{R}$, and when $x>2$, $f(x)=x^2+1$. Determine $f(x)$ for $x<2$. \nA. $x^2+1$ B. $x^2-8x+5$ C. $x^2+4x+5$ D. $x^2-8x+17$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Two workers were assigned to produce a batch of identical parts; after the first worked for \\(a\\) hours and the second for \\(0.6a\\) hours, it turned out that they had completed \\(\\frac{5}{n}\\) of the entire job. After working together for another \\(0.6a\\) hours, they found that they still had \\(\\frac{1}{n}\\) of the batch left to produce. How many hours will it take for each of them, working separately, to complete the whole job? The number \\(n\\) is a natural number; find it.",
"role": "user"
}
] |
math
|
{
"ground_truth": "10",
"style": "rule"
}
|
{
"index": 6154,
"need_tools_kwargs": true,
"question": "Two workers were assigned to produce a batch of identical parts; after the first worked for \\(a\\) hours and the second for \\(0.6a\\) hours, it turned out that they had completed \\(\\frac{5}{n}\\) of the entire job. After working together for another \\(0.6a\\) hours, they found that they still had \\(\\frac{1}{n}\\) of the batch left to produce. How many hours will it take for each of them, working separately, to complete the whole job? The number \\(n\\) is a natural number; find it.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The Screamers are coached by Coach Yellsalot. The Screamers have 12 players, but two of them, Bob and Yogi, refuse to play together. How many starting lineups (of 5 players) can Coach Yellsalot make, if the starting lineup can't contain both Bob and Yogi? (The order of the 5 players in the lineup does not matter; that is, two lineups are the same if they consist of the same 5 players.)",
"role": "user"
}
] |
math
|
{
"ground_truth": "672",
"style": "rule"
}
|
{
"index": 6155,
"need_tools_kwargs": true,
"question": "The Screamers are coached by Coach Yellsalot. The Screamers have 12 players, but two of them, Bob and Yogi, refuse to play together. How many starting lineups (of 5 players) can Coach Yellsalot make, if the starting lineup can't contain both Bob and Yogi? (The order of the 5 players in the lineup does not matter; that is, two lineups are the same if they consist of the same 5 players.)",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Do both films, The Silent Master and Night Must Fall (1964 film), have the directors who are from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 6156,
"need_tools_kwargs": true,
"question": "Do both films, The Silent Master and Night Must Fall (1964 film), have the directors who are 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": "Are the movies El Barro Humano and Mulher Objeto, from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 6157,
"need_tools_kwargs": true,
"question": "Are the movies El Barro Humano and Mulher Objeto, 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": "Solve for $x$ in the equation\n\\[2^{(16^x)} = 16^{(2^x)}.\\]",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"index": 6158,
"need_tools_kwargs": true,
"question": "Solve for $x$ in the equation\n\\[2^{(16^x)} = 16^{(2^x)}.\\]",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given a sequence $\\{a_n\\}$ where $a_n=n$, find the sum of the first $100$ terms of the sequence $\\left\\{ \\frac{1}{a_na_{n+1}} \\right\\}$ and select the correct answer:\nA: $\\frac{99}{100}$\nB: $\\frac{99}{101}$\nC: $\\frac{100}{101}$\nD: $\\frac{101}{100}$",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{100}{101}",
"style": "rule"
}
|
{
"index": 6159,
"need_tools_kwargs": true,
"question": "Given a sequence $\\{a_n\\}$ where $a_n=n$, find the sum of the first $100$ terms of the sequence $\\left\\{ \\frac{1}{a_na_{n+1}} \\right\\}$ and select the correct answer:\nA: $\\frac{99}{100}$\nB: $\\frac{99}{101}$\nC: $\\frac{100}{101}$\nD: $\\frac{101}{100}$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Three circles with centers at points \\( A \\), \\( B \\), and \\( C \\) have radii of \\( 2 \\), \\( 3 \\), and \\( 4 \\) respectively. These circles are all tangent to the same line \\( m \\) at points \\( A' \\), \\( B' \\), and \\( C' \\), with point \\( B' \\) located between \\( A' \\) and \\( C' \\). The circle centered at \\( B \\) is externally tangent to the other two circles. Determine the area of triangle \\( ABC \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
|
{
"index": 6160,
"need_tools_kwargs": true,
"question": "Three circles with centers at points \\( A \\), \\( B \\), and \\( C \\) have radii of \\( 2 \\), \\( 3 \\), and \\( 4 \\) respectively. These circles are all tangent to the same line \\( m \\) at points \\( A' \\), \\( B' \\), and \\( C' \\), with point \\( B' \\) located between \\( A' \\) and \\( C' \\). The circle centered at \\( B \\) is externally tangent to the other two circles. Determine the area of triangle \\( ABC \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": " \"Wij zijn Ajax\" features rap parts from a Dutch footballer who plays for what Turkish club?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Beşiktaş",
"style": "rule"
}
|
{
"index": 6161,
"need_tools_kwargs": true,
"question": " \"Wij zijn Ajax\" features rap parts from a Dutch footballer who plays for what Turkish club?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "CCA's B building has 6 rooms on the second floor, labeled B201 to B206, as well as 8 rooms on the first floor, labeled B101 to B108. Annie is currently in room B205. Each minute, she chooses to stay or change floors with equal probability, and chooses a classroom on that floor to go to at random (she can stay in the classroom that she's already in). B104, B108, and B203 are the only rooms that have teachers who will scold her for randomly walking around during class time. The probability that she is first scolded in room B203 can be expressed as $\\frac{p}{q}$. Compute $p+q$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "7",
"style": "rule"
}
|
{
"index": 6162,
"need_tools_kwargs": true,
"question": "CCA's B building has 6 rooms on the second floor, labeled B201 to B206, as well as 8 rooms on the first floor, labeled B101 to B108. Annie is currently in room B205. Each minute, she chooses to stay or change floors with equal probability, and chooses a classroom on that floor to go to at random (she can stay in the classroom that she's already in). B104, B108, and B203 are the only rooms that have teachers who will scold her for randomly walking around during class time. The probability that she is first scolded in room B203 can be expressed as $\\frac{p}{q}$. Compute $p+q$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which film has the director who is older, Friday The 13Th: A New Beginning or Until The End Of The World?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Friday The 13Th: A New Beginning",
"style": "rule"
}
|
{
"index": 6163,
"need_tools_kwargs": true,
"question": "Which film has the director who is older, Friday The 13Th: A New Beginning or Until The End Of The World?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "On the ellipse $\\frac {x^{2}}{4}+ \\frac {y^{2}}{3}=1$, there is a moving point $P$. For the circle $E: (x-1)^{2}+y^{2}=1$, any line passing through the center of circle $E$ intersects the circle at points $A$ and $B$. For the circle $F: (x+1)^{2}+y^{2}=1$, any line passing through the center intersects the circle at points $C$ and $D$. The minimum value of $\\overrightarrow{PA}\\cdot \\overrightarrow{PB}+ \\overrightarrow{PC}\\cdot \\overrightarrow{PD}$ is \\_\\_\\_\\_\\_\\_.",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
|
{
"index": 6164,
"need_tools_kwargs": true,
"question": "On the ellipse $\\frac {x^{2}}{4}+ \\frac {y^{2}}{3}=1$, there is a moving point $P$. For the circle $E: (x-1)^{2}+y^{2}=1$, any line passing through the center of circle $E$ intersects the circle at points $A$ and $B$. For the circle $F: (x+1)^{2}+y^{2}=1$, any line passing through the center intersects the circle at points $C$ and $D$. The minimum value of $\\overrightarrow{PA}\\cdot \\overrightarrow{PB}+ \\overrightarrow{PC}\\cdot \\overrightarrow{PD}$ is \\_\\_\\_\\_\\_\\_.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of birth of the composer of film Subhalekha?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "14 March 1918",
"style": "rule"
}
|
{
"index": 6165,
"need_tools_kwargs": true,
"question": "What is the date of birth of the composer of film Subhalekha?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $ABC$ has side lengths $AB = 9$ , $BC =$ $5\\sqrt{3}$ , and $AC = 12$ . Points $A = P_{0}, P_{1}, P_{2}, ... , P_{2450} = B$ are on segment $\\overline{AB}$ with $P_{k}$ between $P_{k-1}$ and $P_{k+1}$ for $k = 1, 2, ..., 2449$ , and points $A = Q_{0}, Q_{1}, Q_{2}, ... , Q_{2450} = C$ are on segment $\\overline{AC}$ with $Q_{k}$ between $Q_{k-1}$ and $Q_{k+1}$ for $k = 1, 2, ..., 2449$ . Furthermore, each segment $\\overline{P_{k}Q_{k}}$ , $k = 1, 2, ..., 2449$ , is parallel to $\\overline{BC}$ . The segments cut the triangle into $2450$ regions, consisting of $2449$ trapezoids and $1$ triangle. Each of the $2450$ regions has the same area. Find the number of segments $\\overline{P_{k}Q_{k}}$ , $k = 1, 2, ..., 2450$ , that have rational length.",
"role": "user"
}
] |
math
|
{
"ground_truth": "20",
"style": "rule"
}
|
{
"index": 6166,
"need_tools_kwargs": true,
"question": "Triangle $ABC$ has side lengths $AB = 9$ , $BC =$ $5\\sqrt{3}$ , and $AC = 12$ . Points $A = P_{0}, P_{1}, P_{2}, ... , P_{2450} = B$ are on segment $\\overline{AB}$ with $P_{k}$ between $P_{k-1}$ and $P_{k+1}$ for $k = 1, 2, ..., 2449$ , and points $A = Q_{0}, Q_{1}, Q_{2}, ... , Q_{2450} = C$ are on segment $\\overline{AC}$ with $Q_{k}$ between $Q_{k-1}$ and $Q_{k+1}$ for $k = 1, 2, ..., 2449$ . Furthermore, each segment $\\overline{P_{k}Q_{k}}$ , $k = 1, 2, ..., 2449$ , is parallel to $\\overline{BC}$ . The segments cut the triangle into $2450$ regions, consisting of $2449$ trapezoids and $1$ triangle. Each of the $2450$ regions has the same area. Find the number of segments $\\overline{P_{k}Q_{k}}$ , $k = 1, 2, ..., 2450$ , that have rational length.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 bases of a trapezoid are 3 cm and 5 cm. One of the diagonals of the trapezoid is 8 cm, and the angle between the diagonals is $60^{\\circ}$. Find the perimeter of the trapezoid.",
"role": "user"
}
] |
math
|
{
"ground_truth": "22",
"style": "rule"
}
|
{
"index": 6167,
"need_tools_kwargs": true,
"question": "The bases of a trapezoid are 3 cm and 5 cm. One of the diagonals of the trapezoid is 8 cm, and the angle between the diagonals is $60^{\\circ}$. Find the perimeter of the trapezoid.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 band that performed a song used worldwide as an anti-fascist hymn was formed in what year?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1990",
"style": "rule"
}
|
{
"index": 6168,
"need_tools_kwargs": true,
"question": "The band that performed a song used worldwide as an anti-fascist hymn was formed in what year?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What American teams did one of Xu Yongs competitors play for?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "the Milwaukee Bucks, New Jersey Nets, Washington Wizards and Dallas Mavericks.",
"style": "rule"
}
|
{
"index": 6169,
"need_tools_kwargs": true,
"question": "What American teams did one of Xu Yongs competitors play 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": "Five points, no three of which are collinear, are given. Find the least possible value of the number of convex polygons whose vertices are from these five points.",
"role": "user"
}
] |
math
|
{
"ground_truth": "11",
"style": "rule"
}
|
{
"index": 6170,
"need_tools_kwargs": true,
"question": "Five points, no three of which are collinear, are given. Find the least possible value of the number of convex polygons whose vertices are from these five points.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $\\mathbf{a},$ $\\mathbf{b},$ and $\\mathbf{c}$ be vectors such that $\\|\\mathbf{a}\\| = 2,$ $\\|\\mathbf{b}\\| = 3,$ and $\\|\\mathbf{c}\\| = 6,$ and\n\\[2\\mathbf{a} + 3\\mathbf{b} + 4\\mathbf{c} = \\mathbf{0}.\\]Compute $2(\\mathbf{a} \\cdot \\mathbf{b}) + 3(\\mathbf{a} \\cdot \\mathbf{c}) + 4(\\mathbf{b} \\cdot \\mathbf{c}).$",
"role": "user"
}
] |
math
|
{
"ground_truth": "-673/4",
"style": "rule"
}
|
{
"index": 6171,
"need_tools_kwargs": true,
"question": "Let $\\mathbf{a},$ $\\mathbf{b},$ and $\\mathbf{c}$ be vectors such that $\\|\\mathbf{a}\\| = 2,$ $\\|\\mathbf{b}\\| = 3,$ and $\\|\\mathbf{c}\\| = 6,$ and\n\\[2\\mathbf{a} + 3\\mathbf{b} + 4\\mathbf{c} = \\mathbf{0}.\\]Compute $2(\\mathbf{a} \\cdot \\mathbf{b}) + 3(\\mathbf{a} \\cdot \\mathbf{c}) + 4(\\mathbf{b} \\cdot \\mathbf{c}).$",
"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": "William Shepard protected the Springfield Armory during Shays' Rebellion, firing cannon into the force a soldier who passed away in which year ?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1825",
"style": "rule"
}
|
{
"index": 6172,
"need_tools_kwargs": true,
"question": "William Shepard protected the Springfield Armory during Shays' Rebellion, firing cannon into the force a soldier who passed away 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 Waste of Shame took its title from the first line of a Sonnet that published in what?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1609 Quarto",
"style": "rule"
}
|
{
"index": 6173,
"need_tools_kwargs": true,
"question": "A Waste of Shame took its title from the first line of a Sonnet that published in what?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "what amount does an investor receive if the investor invests $ 7000 at 10 % p . a . compound interest for two years , compounding done annually ?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\$8470",
"style": "rule"
}
|
{
"index": 6174,
"need_tools_kwargs": true,
"question": "what amount does an investor receive if the investor invests $ 7000 at 10 % p . a . compound interest for two years , compounding done annually ?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 a car's brakes are applied, it continues to travel 35 feet in the next second maintaining its initial speed before it starts to decelerate. Once deceleration begins, it travels 9 feet less in each subsequent second until it comes to a complete stop. The car travels 35 feet in the second after the brakes are applied. How many feet does the car travel from the time the brakes are applied until it comes to a stop?",
"role": "user"
}
] |
math
|
{
"ground_truth": "121",
"style": "rule"
}
|
{
"index": 6175,
"need_tools_kwargs": true,
"question": "When a car's brakes are applied, it continues to travel 35 feet in the next second maintaining its initial speed before it starts to decelerate. Once deceleration begins, it travels 9 feet less in each subsequent second until it comes to a complete stop. The car travels 35 feet in the second after the brakes are applied. How many feet does the car travel from the time the brakes are applied until it comes to a stop?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 flag does the Swiss born Formula One driver who competed in the 2015 season for Lotus race under?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "the French flag",
"style": "rule"
}
|
{
"index": 6176,
"need_tools_kwargs": true,
"question": "What flag does the Swiss born Formula One driver who competed in the 2015 season for Lotus race under?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "WMCW is a radio station that carried an Adult Contemporary format with a man who retired when? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "2009",
"style": "rule"
}
|
{
"index": 6177,
"need_tools_kwargs": true,
"question": "WMCW is a radio station that carried an Adult Contemporary format with a man who retired when? ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 focus of the parabola \\( y^2 = 4ax \\) (where \\( a > 0 \\)) is \\( A \\). Consider a semicircle centered at \\( B(a+4, 0) \\) with radius \\( |AB| \\), positioned above the \\( x \\)-axis. Assume the semicircle intersects the parabola at distinct points \\( M \\) and \\( N \\), with \\( P \\) being the midpoint of the segment \\( MN \\). \n\n(I) Find the value of \\( |AM| + |AN| \\). \n(II) Does there exist a value of \\( a \\) such that \\( |AM|, |AP|, and |AN| \\) form an arithmetic sequence?",
"role": "user"
}
] |
math
|
{
"ground_truth": "8",
"style": "rule"
}
|
{
"index": 6178,
"need_tools_kwargs": true,
"question": "The focus of the parabola \\( y^2 = 4ax \\) (where \\( a > 0 \\)) is \\( A \\). Consider a semicircle centered at \\( B(a+4, 0) \\) with radius \\( |AB| \\), positioned above the \\( x \\)-axis. Assume the semicircle intersects the parabola at distinct points \\( M \\) and \\( N \\), with \\( P \\) being the midpoint of the segment \\( MN \\). \n\n(I) Find the value of \\( |AM| + |AN| \\). \n(II) Does there exist a value of \\( a \\) such that \\( |AM|, |AP|, and |AN| \\) form an arithmetic sequence?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "\"Chocolate\" is a song by English rock band The 1975 featured in a teaser for a film directed by who ?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Juliette Towhidi",
"style": "rule"
}
|
{
"index": 6179,
"need_tools_kwargs": true,
"question": "\"Chocolate\" is a song by English rock band The 1975 featured in a teaser for a film directed by who ?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A line passes through the point \\((a, 0)\\) and forms a triangular region in the first quadrant with area \\(T'\\). Identify the equation of the line in standard form.",
"role": "user"
}
] |
math
|
{
"ground_truth": "0",
"style": "rule"
}
|
{
"index": 6180,
"need_tools_kwargs": true,
"question": "A line passes through the point \\((a, 0)\\) and forms a triangular region in the first quadrant with area \\(T'\\). Identify the equation of the line in standard form.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The Raconteurs and The Dead Weather both could be described as what kind of group?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American rock supergroup",
"style": "rule"
}
|
{
"index": 6181,
"need_tools_kwargs": true,
"question": "The Raconteurs and The Dead Weather both could be described as what kind of group?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Gopi initially gives his servant a salary of Rs. 90 plus one turban for one year. However, after every 3 months, the servant receives a 5% raise in his cash salary based on his initial salary. The servant then leaves after completing a total of 9 months of service and receives Rs. 80 and the turban as his payment. Find the price of the turban, considering the raise in salary after every 3 months.",
"role": "user"
}
] |
math
|
{
"ground_truth": "9.125",
"style": "rule"
}
|
{
"index": 6182,
"need_tools_kwargs": true,
"question": "Gopi initially gives his servant a salary of Rs. 90 plus one turban for one year. However, after every 3 months, the servant receives a 5% raise in his cash salary based on his initial salary. The servant then leaves after completing a total of 9 months of service and receives Rs. 80 and the turban as his payment. Find the price of the turban, considering the raise in salary after every 3 months.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Are the directors of both films The Mercy Of The Jungle and Magic (1917 Film) from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 6183,
"need_tools_kwargs": true,
"question": "Are the directors of both films The Mercy Of The Jungle and Magic (1917 Film) from the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which film has the director who is older, Melody Of The World or Ladies Love Danger?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Melody Of The World",
"style": "rule"
}
|
{
"index": 6184,
"need_tools_kwargs": true,
"question": "Which film has the director who is older, Melody Of The World or Ladies Love Danger?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $x$ be a positive integer, and define the integers $n = x^2 + 4x + 29$ and $d = 4x + 9$. When dividing $n$ by $d$, the quotient is $x$, and the remainder is $13$. Find $x$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 6185,
"need_tools_kwargs": true,
"question": "Let $x$ be a positive integer, and define the integers $n = x^2 + 4x + 29$ and $d = 4x + 9$. When dividing $n$ by $d$, the quotient is $x$, and the remainder is $13$. Find $x$.",
"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 acute triangle $ABC$ have circumcenter $O$, and let $M$ be the midpoint of $BC$. Let $P$ be the unique point such that $\\angle BAP=\\angle CAM, \\angle CAP=\\angle BAM$, and $\\angle APO=90^{\\circ}$. If $AO=53, OM=28$, and $AM=75$, compute the perimeter of $\\triangle BPC$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "192",
"style": "rule"
}
|
{
"index": 6186,
"need_tools_kwargs": true,
"question": "Let acute triangle $ABC$ have circumcenter $O$, and let $M$ be the midpoint of $BC$. Let $P$ be the unique point such that $\\angle BAP=\\angle CAM, \\angle CAP=\\angle BAM$, and $\\angle APO=90^{\\circ}$. If $AO=53, OM=28$, and $AM=75$, compute the perimeter of $\\triangle BPC$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In what city did Anselm Kiefer present his first exhibition?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Karlsruhe",
"style": "rule"
}
|
{
"index": 6187,
"need_tools_kwargs": true,
"question": "In what city did Anselm Kiefer present his first exhibition?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 unit square is cut into four pieces that can be arranged to make an isosceles triangle as shown below. What is the perimeter of the triangle? Express your answer in simplest radical form.\n\n[asy]\nfilldraw((0, 3)--(-1, 3)--(-2, 2)--(-1, 1)--cycle,lightgrey);\nfilldraw((0, 3)--(1, 3)--(2, 2)--(1, 1)--cycle,lightgrey);\nfilldraw((0, 4)--(-1, 3)--(1, 3)--cycle,grey);\ndraw((-1, 1)--(0,0)--(1, 1));\n\nfilldraw((4,1)--(3,2)--(2,0)--(3,0)--cycle,lightgrey);\nfilldraw((4,1)--(5,2)--(6,0)--(5,0)--cycle,lightgrey);\nfilldraw((4,1)--(3,0)--(5,0)--cycle,grey);\ndraw((3,2)--(4,4)--(5,2));\n[/asy]",
"role": "user"
}
] |
math
|
{
"ground_truth": "2\\sqrt{2}",
"style": "rule"
}
|
{
"index": 6188,
"need_tools_kwargs": true,
"question": "A unit square is cut into four pieces that can be arranged to make an isosceles triangle as shown below. What is the perimeter of the triangle? Express your answer in simplest radical form.\n\n[asy]\nfilldraw((0, 3)--(-1, 3)--(-2, 2)--(-1, 1)--cycle,lightgrey);\nfilldraw((0, 3)--(1, 3)--(2, 2)--(1, 1)--cycle,lightgrey);\nfilldraw((0, 4)--(-1, 3)--(1, 3)--cycle,grey);\ndraw((-1, 1)--(0,0)--(1, 1));\n\nfilldraw((4,1)--(3,2)--(2,0)--(3,0)--cycle,lightgrey);\nfilldraw((4,1)--(5,2)--(6,0)--(5,0)--cycle,lightgrey);\nfilldraw((4,1)--(3,0)--(5,0)--cycle,grey);\ndraw((3,2)--(4,4)--(5,2));\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": "Is there an integer $x$ such that $x \\equiv 1 \\ (\\text{mod} \\ 6)$, $x \\equiv 9 \\ (\\text{mod} \\ 14)$, and $x \\equiv 7 \\ (\\text{mod} \\ 15)$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "37",
"style": "rule"
}
|
{
"index": 6189,
"need_tools_kwargs": true,
"question": "Is there an integer $x$ such that $x \\equiv 1 \\ (\\text{mod} \\ 6)$, $x \\equiv 9 \\ (\\text{mod} \\ 14)$, and $x \\equiv 7 \\ (\\text{mod} \\ 15)$?",
"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": "When did the director of film Rovin' Tumbleweeds die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "March 15, 1991",
"style": "rule"
}
|
{
"index": 6190,
"need_tools_kwargs": true,
"question": "When did the director of film Rovin' Tumbleweeds die?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When is Joan Of Dampierre's mother's birthday?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "2 June 1202",
"style": "rule"
}
|
{
"index": 6191,
"need_tools_kwargs": true,
"question": "When is Joan Of Dampierre's mother's birthday?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What highway is the closest town to Montague Island located on?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Princes Highway",
"style": "rule"
}
|
{
"index": 6192,
"need_tools_kwargs": true,
"question": "What highway is the closest town to Montague Island located on?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Robert Maillet (born October 26, 1969) is a Canadian actor and retired professional wrestler, he's also known for his roles in films such as the 2007 American epic war film \"300\", based on the comic series \"300\" by Frank Miller and Lynn Varley, released in what year?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1998",
"style": "rule"
}
|
{
"index": 6193,
"need_tools_kwargs": true,
"question": "Robert Maillet (born October 26, 1969) is a Canadian actor and retired professional wrestler, he's also known for his roles in films such as the 2007 American epic war film \"300\", based on the comic series \"300\" by Frank Miller and Lynn Varley, released 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 that $n \\equiv 1(\\bmod 4)$ and $n > 1$, let $P=\\{a_{1}, a_{2}, \\cdots, a_{n}\\}$ be an arbitrary permutation of $\\{1,2,3, \\cdots, n\\}$. Define $k_{p}$ as the largest index $k$ for which the following inequality holds:\n$$\na_{1}+a_{2}+\\cdots+a_{k}<a_{k+1}+a_{k+2}+\\cdots+a_{n}.\n$$\n\nFind the total sum of $k_{p}$ for all possible different permutations $P$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{1}{2}(n-1)(n!)",
"style": "rule"
}
|
{
"index": 6194,
"need_tools_kwargs": true,
"question": "Given that $n \\equiv 1(\\bmod 4)$ and $n > 1$, let $P=\\{a_{1}, a_{2}, \\cdots, a_{n}\\}$ be an arbitrary permutation of $\\{1,2,3, \\cdots, n\\}$. Define $k_{p}$ as the largest index $k$ for which the following inequality holds:\n$$\na_{1}+a_{2}+\\cdots+a_{k}<a_{k+1}+a_{k+2}+\\cdots+a_{n}.\n$$\n\nFind the total sum of $k_{p}$ for all possible different permutations $P$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 the common difference of an arithmetic sequence \\(\\{a_n\\}\\) is \\(d\\), \\(a_1 \\neq d\\), and \\(d \\neq 0\\), if the sum of the first 20 terms of this sequence \\(S_{20} = 10M\\), where \\(M = x a_{10} + y d\\), find \\(x = \\quad\\) and \\(y = \\quad\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "x = 2, y = 1",
"style": "rule"
}
|
{
"index": 6195,
"need_tools_kwargs": true,
"question": "Given that the common difference of an arithmetic sequence \\(\\{a_n\\}\\) is \\(d\\), \\(a_1 \\neq d\\), and \\(d \\neq 0\\), if the sum of the first 20 terms of this sequence \\(S_{20} = 10M\\), where \\(M = x a_{10} + y d\\), find \\(x = \\quad\\) and \\(y = \\quad\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which movie features both a prominent actress on Orange is the New Black and Bob Odenkirk?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "\"Girlfriend's Day\"",
"style": "rule"
}
|
{
"index": 6196,
"need_tools_kwargs": true,
"question": "Which movie features both a prominent actress on Orange is the New Black and Bob Odenkirk?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 9 阶置换群 S_9 中，称两个元素 \\sigma_1,\\sigma_2 是共轭的，如果存在 \\tau\\in S_9，使得 \\tau^{-1}\\sigma_1\\tau=\\sigma_2. 记 \\sigma=(12345)(4567)\\in S_9，求 S_9 中与 \\sigma 共轭的元素个数.",
"role": "user"
}
] |
math
|
{
"ground_truth": "15120",
"style": "rule"
}
|
{
"index": 6197,
"need_tools_kwargs": true,
"question": "在 9 阶置换群 S_9 中，称两个元素 \\sigma_1,\\sigma_2 是共轭的，如果存在 \\tau\\in S_9，使得 \\tau^{-1}\\sigma_1\\tau=\\sigma_2. 记 \\sigma=(12345)(4567)\\in S_9，求 S_9 中与 \\sigma 共轭的元素个数.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of death of the composer of film Andaz (1949 Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "5 May 2006",
"style": "rule"
}
|
{
"index": 6198,
"need_tools_kwargs": true,
"question": "What is the date of death of the composer of film Andaz (1949 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": "On which day, month, and year did Indu Malhotra retire as a judge of the Supreme Court of India?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "13 March 2021",
"style": "rule"
}
|
{
"index": 6199,
"need_tools_kwargs": true,
"question": "On which day, month, and year did Indu Malhotra retire as a judge of the Supreme Court of India?",
"split": "train"
}
| null |
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