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": "Let $\\mathbf{v} = \\begin{pmatrix} 3 \\\\ 2 \\\\ -2 \\end{pmatrix}$ and $\\mathbf{w} = \\begin{pmatrix} 2 \\\\ -1 \\\\ 4 \\end{pmatrix}$. The columns of a matrix are $\\mathbf{u}, \\mathbf{v},$ and $\\mathbf{w},$ where $\\mathbf{u}$ is a unit vector. Find the largest possible determinant of this matrix.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\sqrt{149}",
"style": "rule"
}
|
{
"index": 3000,
"need_tools_kwargs": true,
"question": "Let $\\mathbf{v} = \\begin{pmatrix} 3 \\\\ 2 \\\\ -2 \\end{pmatrix}$ and $\\mathbf{w} = \\begin{pmatrix} 2 \\\\ -1 \\\\ 4 \\end{pmatrix}$. The columns of a matrix are $\\mathbf{u}, \\mathbf{v},$ and $\\mathbf{w},$ where $\\mathbf{u}$ is a unit vector. Find the largest possible determinant of this matrix.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": " Stewart F. Lane, a six-time Tony Award winning Broadway producer has directed an American actor, screenwriter, and producer, best known for his Academy Award-nominated role for Best Supporting Actor in what 1993 film?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "A Bronx Tale",
"style": "rule"
}
|
{
"index": 3001,
"need_tools_kwargs": true,
"question": " Stewart F. Lane, a six-time Tony Award winning Broadway producer has directed an American actor, screenwriter, and producer, best known for his Academy Award-nominated role for Best Supporting Actor in what 1993 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": "Find the least three digit number that is equal to the sum of its digits plus twice the product of its digits.",
"role": "user"
}
] |
math
|
{
"ground_truth": "397",
"style": "rule"
}
|
{
"index": 3002,
"need_tools_kwargs": true,
"question": "Find the least three digit number that is equal to the sum of its digits plus twice the product of its digits.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When was the book published that made into a play where Marguerite MacIntyre starred in regional versions?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1953",
"style": "rule"
}
|
{
"index": 3003,
"need_tools_kwargs": true,
"question": "When was the book published that made into a play where Marguerite MacIntyre starred in regional versions?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What nationality is the composer of film Maayavi?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "India",
"style": "rule"
}
|
{
"index": 3004,
"need_tools_kwargs": true,
"question": "What nationality is the composer of film Maayavi?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who was born first out of Baxter Ward and Matías José Jerman?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Baxter Ward",
"style": "rule"
}
|
{
"index": 3005,
"need_tools_kwargs": true,
"question": "Who was born first out of Baxter Ward and Matías José Jerman?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "It is known that for any integer $k \\not= 27$ the number $a − k^{ 1964}$ is divisible by $27 − k$. Find a, where a is in the form $27^n$. Please provide the value of n + 1.",
"role": "user"
}
] |
math
|
{
"ground_truth": "1965",
"style": "rule"
}
|
{
"index": 3006,
"need_tools_kwargs": true,
"question": "It is known that for any integer $k \\not= 27$ the number $a − k^{ 1964}$ is divisible by $27 − k$. Find a, where a is in the form $27^n$. Please provide the value of n + 1.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "For all real numbers $r$ and $s$, define the mathematical operation $\\#$ such that the following conditions apply: $r\\ \\#\\ 0 = r$, $r\\ \\#\\ s = s\\ \\#\\ r$, and $(r + 1)\\ \\#\\ s = (r\\ \\#\\ s) + 2s + 1$. What is the value of $8\\ \\#\\ 3$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "127",
"style": "rule"
}
|
{
"index": 3007,
"need_tools_kwargs": true,
"question": "For all real numbers $r$ and $s$, define the mathematical operation $\\#$ such that the following conditions apply: $r\\ \\#\\ 0 = r$, $r\\ \\#\\ s = s\\ \\#\\ r$, and $(r + 1)\\ \\#\\ s = (r\\ \\#\\ s) + 2s + 1$. What is the value of $8\\ \\#\\ 3$?",
"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 equation \\(\\sqrt{4 + 9 + x^{2}} = 7\\) for \\(x\\). What are the possible values for \\(x\\)?",
"role": "user"
}
] |
math
|
{
"ground_truth": "-6",
"style": "rule"
}
|
{
"index": 3008,
"need_tools_kwargs": true,
"question": "Solve the equation \\(\\sqrt{4 + 9 + x^{2}} = 7\\) for \\(x\\). What are the possible values for \\(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": "Find all pairs of two-digit natural numbers whose arithmetic mean is $25/24$ times greater than their geometric mean. In the answer, indicate the largest of the arithmetic means for all such pairs.",
"role": "user"
}
] |
math
|
{
"ground_truth": "75",
"style": "rule"
}
|
{
"index": 3009,
"need_tools_kwargs": true,
"question": "Find all pairs of two-digit natural numbers whose arithmetic mean is $25/24$ times greater than their geometric mean. In the answer, indicate the largest of the arithmetic means for all such pairs.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Wolf Rüdiger Hess's mother?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "7 September 1995",
"style": "rule"
}
|
{
"index": 3010,
"need_tools_kwargs": true,
"question": "What is the date of death of Wolf Rüdiger Hess's mother?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "已知双曲线 C:\\df{x^2}{a^2}-\\df{y^2}{b^2}=1(a>0,b>0) 的离心率为 \\df{\\sqrt{17}}{3}，F 为右焦点，点 A,B 在右支上. 设 D 为 A 关于原点 O 的对称点，且 DF\\bot AB. 若 \\overrightarrow{AF}=\\lambda\\overrightarrow{FB}，则 \\lambda=_________.原始的答案是\\frac{m}{n}的形式，其中m、n是互质的。请给出最终m + n的值",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 3011,
"need_tools_kwargs": true,
"question": "已知双曲线 C:\\df{x^2}{a^2}-\\df{y^2}{b^2}=1(a>0,b>0) 的离心率为 \\df{\\sqrt{17}}{3}，F 为右焦点，点 A,B 在右支上. 设 D 为 A 关于原点 O 的对称点，且 DF\\bot AB. 若 \\overrightarrow{AF}=\\lambda\\overrightarrow{FB}，则 \\lambda=_________.原始的答案是\\frac{m}{n}的形式，其中m、n是互质的。请给出最终m + n的值",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Do both directors of films Two And A Lady and Welcome To Canada have the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 3012,
"need_tools_kwargs": true,
"question": "Do both directors of films Two And A Lady and Welcome To Canada have 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": "Find $A+B$ (in base 10), given the following addition problem \\[ \\begin{array}{c@{}c@{\\;}c@{}c@{}c@{}c}& & & 4 & A & B_{6}\\\\ &+& & & 4 & 1_{6}\\\\ \\cline{2-6}& & & 5 & 3 & A_{6}\\\\ \\end{array} \\]",
"role": "user"
}
] |
math
|
{
"ground_truth": "9",
"style": "rule"
}
|
{
"index": 3013,
"need_tools_kwargs": true,
"question": "Find $A+B$ (in base 10), given the following addition problem \\[ \\begin{array}{c@{}c@{\\;}c@{}c@{}c@{}c}& & & 4 & A & B_{6}\\\\ &+& & & 4 & 1_{6}\\\\ \\cline{2-6}& & & 5 & 3 & A_{6}\\\\ \\end{array} \\]",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 villages, Revesht and Kartij Kola, located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 3014,
"need_tools_kwargs": true,
"question": "Are both villages, Revesht and Kartij Kola, located in the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The density of a body is defined as the ratio of its mass to the volume it occupies. There is a homogeneous cube with a volume of $V=8 \\, m^{3}$. As a result of heating, each of its edges increased by 4 mm. By what percentage did the density of this cube change?",
"role": "user"
}
] |
math
|
{
"ground_truth": "0.6",
"style": "rule"
}
|
{
"index": 3015,
"need_tools_kwargs": true,
"question": "The density of a body is defined as the ratio of its mass to the volume it occupies. There is a homogeneous cube with a volume of $V=8 \\, m^{3}$. As a result of heating, each of its edges increased by 4 mm. By what percentage did the density of this cube change?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 geometric sequence $\\{a_n\\}$ where $a_1 + a_3 = 10$ and $a_2 + a_4 = 5$, find the maximum value of the product $a_1a_2 \\ldots a_n$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "64",
"style": "rule"
}
|
{
"index": 3016,
"need_tools_kwargs": true,
"question": "Given a geometric sequence $\\{a_n\\}$ where $a_1 + a_3 = 10$ and $a_2 + a_4 = 5$, find the maximum value of the product $a_1a_2 \\ldots a_n$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Two circles have radii $2$ and $3$, and the distance between their centers is $10$. Let $E$ be the intersection of their two common external tangents, and $I$ be the intersection of their two common internal tangents. Compute $EI$.\n\nA common external tangent is a tangent line to two circles such that the circles are on the same side of the line, while a common internal tangent is a tangent line to two circles such that the circles are on opposite sides of the line.",
"role": "user"
}
] |
math
|
{
"ground_truth": "24",
"style": "rule"
}
|
{
"index": 3017,
"need_tools_kwargs": true,
"question": "Two circles have radii $2$ and $3$, and the distance between their centers is $10$. Let $E$ be the intersection of their two common external tangents, and $I$ be the intersection of their two common internal tangents. Compute $EI$.\n\nA common external tangent is a tangent line to two circles such that the circles are on the same side of the line, while a common internal tangent is a tangent line to two circles such that the circles are on opposite sides of the line.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 that $x$ is an integer that satisfies the following congruences: \\begin{align*}\n3+x &\\equiv 2^2 \\pmod{3^3} \\\\\n5+x &\\equiv 3^2 \\pmod{5^3} \\\\\n7+x &\\equiv 5^2 \\pmod{7^3}\n\\end{align*}What is the remainder when $x$ is divided by $105$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"index": 3018,
"need_tools_kwargs": true,
"question": "Suppose that $x$ is an integer that satisfies the following congruences: \\begin{align*}\n3+x &\\equiv 2^2 \\pmod{3^3} \\\\\n5+x &\\equiv 3^2 \\pmod{5^3} \\\\\n7+x &\\equiv 5^2 \\pmod{7^3}\n\\end{align*}What is the remainder when $x$ is divided by $105$?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 class participates in a tree-planting event, divided into three groups. The first group plants 5 trees per person, the second group plants 4 trees per person, and the third group plants 3 trees per person. It is known that the number of people in the second group is one-third of the sum of the number of people in the first and third groups. The total number of trees planted by the second group is 72 less than the sum of the trees planted by the first and third groups. Determine the minimum number of people in the class.",
"role": "user"
}
] |
math
|
{
"ground_truth": "32",
"style": "rule"
}
|
{
"index": 3019,
"need_tools_kwargs": true,
"question": "A class participates in a tree-planting event, divided into three groups. The first group plants 5 trees per person, the second group plants 4 trees per person, and the third group plants 3 trees per person. It is known that the number of people in the second group is one-third of the sum of the number of people in the first and third groups. The total number of trees planted by the second group is 72 less than the sum of the trees planted by the first and third groups. Determine the minimum number of people in the class.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $7 \\times 7$ board is either empty or contains an invisible $2 \\times 2$ ship placed \"on the cells.\" Detectors can be placed on certain cells of the board and then activated simultaneously. An activated detector signals if its cell is occupied by the ship. What is the minimum number of detectors needed to guarantee determining whether the ship is on the board and, if so, identifying the cells it occupies?",
"role": "user"
}
] |
math
|
{
"ground_truth": "16",
"style": "rule"
}
|
{
"index": 3020,
"need_tools_kwargs": true,
"question": "A $7 \\times 7$ board is either empty or contains an invisible $2 \\times 2$ ship placed \"on the cells.\" Detectors can be placed on certain cells of the board and then activated simultaneously. An activated detector signals if its cell is occupied by the ship. What is the minimum number of detectors needed to guarantee determining whether the ship is on the board and, if so, identifying the cells it occupies?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who directed the 2016 Pakistani romantic drama film produced by the CEO of ARY Digital Network?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Mehreen Jabbar",
"style": "rule"
}
|
{
"index": 3021,
"need_tools_kwargs": true,
"question": "Who directed the 2016 Pakistani romantic drama film produced by the CEO of ARY Digital Network?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "According to the conditions of a chess match, the winner is declared as the one who surpasses the opponent by two victories. Draws do not count. The probabilities of winning for the opponents are equal. The number of decisive games in such a match is a random variable. Find its expected value.",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"index": 3022,
"need_tools_kwargs": true,
"question": "According to the conditions of a chess match, the winner is declared as the one who surpasses the opponent by two victories. Draws do not count. The probabilities of winning for the opponents are equal. The number of decisive games in such a match is a random variable. Find its expected value.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 New York (1927 Film) and Ta Ra Rum Pum have the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 3023,
"need_tools_kwargs": true,
"question": "Do both directors of films New York (1927 Film) and Ta Ra Rum Pum have 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 is the sum of the roots of $z^{12}=64$ that have a positive real part? The original answer can be expressed in the form $n\\sqrt{k} + \\sqrt{m}$. Please find the value of k + m + n.",
"role": "user"
}
] |
math
|
{
"ground_truth": "10",
"style": "rule"
}
|
{
"index": 3024,
"need_tools_kwargs": true,
"question": "What is the sum of the roots of $z^{12}=64$ that have a positive real part? The original answer can be expressed in the form $n\\sqrt{k} + \\sqrt{m}$. Please find the value of k + m + n.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Are both Seh Cheshmeh, Kermanshah and Qezelabad, Famenin located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 3025,
"need_tools_kwargs": true,
"question": "Are both Seh Cheshmeh, Kermanshah and Qezelabad, Famenin located in the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who was born first, Corina Morariu or Paul Haarhuis?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Paul Vincent Nicholas Haarhuis",
"style": "rule"
}
|
{
"index": 3026,
"need_tools_kwargs": true,
"question": "Who was born first, Corina Morariu or Paul Haarhuis?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Abhayam had a musical score directed by the composer affectionately called what?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Salilda",
"style": "rule"
}
|
{
"index": 3027,
"need_tools_kwargs": true,
"question": "Abhayam had a musical score directed by the composer affectionately called 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": "Suppose that $y$ is an integer that satisfies the following congruences: \n\\begin{align*}\ny+4 &\\equiv 3^2 \\pmod{3^3}, \\\\\ny+4 &\\equiv 4^2 \\pmod{5^3}, \\\\\ny+4 &\\equiv 6^2 \\pmod{7^3}.\n\\end{align*}\nWhat is the remainder when $y$ is divided by $105$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "32",
"style": "rule"
}
|
{
"index": 3028,
"need_tools_kwargs": true,
"question": "Suppose that $y$ is an integer that satisfies the following congruences: \n\\begin{align*}\ny+4 &\\equiv 3^2 \\pmod{3^3}, \\\\\ny+4 &\\equiv 4^2 \\pmod{5^3}, \\\\\ny+4 &\\equiv 6^2 \\pmod{7^3}.\n\\end{align*}\nWhat is the remainder when $y$ is divided by $105$?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 season eighteen of a show that premiered on March 17, 2014 Brooke Burke-Charvet was replaced as co-host by an American sportscaster who is a sideline reporter for who?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Fox NFL",
"style": "rule"
}
|
{
"index": 3029,
"need_tools_kwargs": true,
"question": "On season eighteen of a show that premiered on March 17, 2014 Brooke Burke-Charvet was replaced as co-host by an American sportscaster who is a sideline reporter for 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": "设 P 是所有 2012 元数组 (x_1,x_2,\\cdots,x_{2012}) 构成的集合，其中 x_i\\in\\{1,2,\\cdots,20\\}, 1\\leq i\\leq 2012.称 A\\subseteq P 是递减的，如果对任意 (x_1,x_2,\\cdots,x_{2012})\\in A 以及任意 y_i\\leq x_i (1\\leq i\\leq 2012)，都有 (y_1,y_2,\\cdots,y_{2012})\\in A. 类似定义递增的 B\\subseteq P.设 A,B 分别为非空递减、递增的集合，求 f(A,B)=\\df{|A\\cap B|}{|A|\\cdot|B|} 的最大值。答案的格式为 \\frac{x}{y*20^z}，请给出 x+y+z 的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "2014",
"style": "rule"
}
|
{
"index": 3030,
"need_tools_kwargs": true,
"question": "设 P 是所有 2012 元数组 (x_1,x_2,\\cdots,x_{2012}) 构成的集合，其中 x_i\\in\\{1,2,\\cdots,20\\}, 1\\leq i\\leq 2012.称 A\\subseteq P 是递减的，如果对任意 (x_1,x_2,\\cdots,x_{2012})\\in A 以及任意 y_i\\leq x_i (1\\leq i\\leq 2012)，都有 (y_1,y_2,\\cdots,y_{2012})\\in A. 类似定义递增的 B\\subseteq P.设 A,B 分别为非空递减、递增的集合，求 f(A,B)=\\df{|A\\cap B|}{|A|\\cdot|B|} 的最大值。答案的格式为 \\frac{x}{y*20^z}，请给出 x+y+z 的值。",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given vectors \\(\\mathbf{u}\\) and \\(\\mathbf{v}\\) such that \\(\\|\\mathbf{u}\\| = 5\\), \\(\\|\\mathbf{v}\\| = 10\\), and \\(\\|\\mathbf{u} + \\mathbf{v}\\| = 12\\). Find \\(\\cos \\phi\\), where \\(\\phi\\) is the angle between \\(\\mathbf{u}\\) and \\(\\mathbf{v}\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "0.19",
"style": "rule"
}
|
{
"index": 3031,
"need_tools_kwargs": true,
"question": "Given vectors \\(\\mathbf{u}\\) and \\(\\mathbf{v}\\) such that \\(\\|\\mathbf{u}\\| = 5\\), \\(\\|\\mathbf{v}\\| = 10\\), and \\(\\|\\mathbf{u} + \\mathbf{v}\\| = 12\\). Find \\(\\cos \\phi\\), where \\(\\phi\\) is the angle between \\(\\mathbf{u}\\) and \\(\\mathbf{v}\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In triangle \\(ABC\\), the measure of angle \\(A\\) is 30 degrees, and the length of the median drawn from vertex \\(B\\) is equal to the length of the altitude drawn from vertex \\(C\\). Find the measures of angles \\(B\\) and \\(C\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "60",
"style": "rule"
}
|
{
"index": 3032,
"need_tools_kwargs": true,
"question": "In triangle \\(ABC\\), the measure of angle \\(A\\) is 30 degrees, and the length of the median drawn from vertex \\(B\\) is equal to the length of the altitude drawn from vertex \\(C\\). Find the measures of angles \\(B\\) and \\(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": "What is the name of the performance that influenced \"Rhythm 2\" by Marina Abramović to include an unconscious aspect?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Rhythm 5",
"style": "rule"
}
|
{
"index": 3033,
"need_tools_kwargs": true,
"question": "What is the name of the performance that influenced \"Rhythm 2\" by Marina Abramović to include an unconscious aspect?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $a, b$, and $c$ are complex numbers satisfying $$\\begin{aligned} a^{2} & =b-c \\\\ b^{2} & =c-a, \\text { and } \\\\ c^{2} & =a-b \\end{aligned}$$ Compute all possible values of $a+b+c$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "0, \\pm i \\sqrt{6}",
"style": "rule"
}
|
{
"index": 3034,
"need_tools_kwargs": true,
"question": "Suppose $a, b$, and $c$ are complex numbers satisfying $$\\begin{aligned} a^{2} & =b-c \\\\ b^{2} & =c-a, \\text { and } \\\\ c^{2} & =a-b \\end{aligned}$$ Compute all possible values of $a+b+c$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What nationality is the director of film Duet For Four?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Australia",
"style": "rule"
}
|
{
"index": 3035,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Duet For Four?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 curves $C_{1}$: $\\begin{cases}x=-4+\\cos t \\\\ y=3+\\sin t\\end{cases}$ (where $t$ is a parameter), $C_{2}$: $\\begin{cases}x=8\\cos \\theta \\\\ y=3\\sin \\theta\\end{cases}$ (where $\\theta$ is a parameter).\n\n$(1)$ Convert the equations of $C_{1}$ and $C_{2}$ into standard form and explain what curves they represent respectively;\n\n$(2)$ If the point $P$ on $C_{1}$ corresponds to the parameter $t= \\frac {\\pi}{2}$, and $Q$ is a moving point on $C_{2}$, find the minimum distance from the midpoint $M$ of $PQ$ to the line $C_{1}$: $\\begin{cases} x=3+2t \\\\ y=-2+t \\end{cases}$ (where $t$ is a parameter).",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac {8 \\sqrt {5}}{5}",
"style": "rule"
}
|
{
"index": 3036,
"need_tools_kwargs": true,
"question": "Given the curves $C_{1}$: $\\begin{cases}x=-4+\\cos t \\\\ y=3+\\sin t\\end{cases}$ (where $t$ is a parameter), $C_{2}$: $\\begin{cases}x=8\\cos \\theta \\\\ y=3\\sin \\theta\\end{cases}$ (where $\\theta$ is a parameter).\n\n$(1)$ Convert the equations of $C_{1}$ and $C_{2}$ into standard form and explain what curves they represent respectively;\n\n$(2)$ If the point $P$ on $C_{1}$ corresponds to the parameter $t= \\frac {\\pi}{2}$, and $Q$ is a moving point on $C_{2}$, find the minimum distance from the midpoint $M$ of $PQ$ to the line $C_{1}$: $\\begin{cases} x=3+2t \\\\ y=-2+t \\end{cases}$ (where $t$ is a parameter).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Eileen Sheridan is a perceived associate to a gang in East London known for the murders of what two men?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Jack \"the Hat\" McVitie and George Cornell",
"style": "rule"
}
|
{
"index": 3037,
"need_tools_kwargs": true,
"question": "Eileen Sheridan is a perceived associate to a gang in East London known for the murders of what two men?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the name and surname of the photographer who first invented a tool to coat calotype paper called the Buckle Brush?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Samuel Buckle",
"style": "rule"
}
|
{
"index": 3038,
"need_tools_kwargs": true,
"question": "What is the name and surname of the photographer who first invented a tool to coat calotype paper called the Buckle Brush?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Find the number of solutions to the equation\n\\[\\frac{1}{(7 - x)(1 + x)(1 - x)} + \\frac{3x^2 - 18x - 22}{(x^2 - 1)(x - 7)} + \\frac{3}{x - 2} = \\frac{3}{(x - 1)(x - 2)}.\\]",
"role": "user"
}
] |
math
|
{
"ground_truth": "0",
"style": "rule"
}
|
{
"index": 3039,
"need_tools_kwargs": true,
"question": "Find the number of solutions to the equation\n\\[\\frac{1}{(7 - x)(1 + x)(1 - x)} + \\frac{3x^2 - 18x - 22}{(x^2 - 1)(x - 7)} + \\frac{3}{x - 2} = \\frac{3}{(x - 1)(x - 2)}.\\]",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The drummer born in 1974 who was one of the hosts of Mammary Lane was born in what state?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Kansas",
"style": "rule"
}
|
{
"index": 3040,
"need_tools_kwargs": true,
"question": "The drummer born in 1974 who was one of the hosts of Mammary Lane was born in what state?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 table with numbers $1, 2, \\ldots, 18$, determine the minimal number of numbers that must be erased so that the sum of any two remaining numbers is not a perfect square of a positive integer.",
"role": "user"
}
] |
math
|
{
"ground_truth": "9",
"style": "rule"
}
|
{
"index": 3041,
"need_tools_kwargs": true,
"question": "Given a table with numbers $1, 2, \\ldots, 18$, determine the minimal number of numbers that must be erased so that the sum of any two remaining numbers is not a perfect square of a positive integer.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The author that wrote the foreword to \"The Challenge of the Cults and New Religions\" has received how many ECPA Christian Book Awards?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "four",
"style": "rule"
}
|
{
"index": 3042,
"need_tools_kwargs": true,
"question": "The author that wrote the foreword to \"The Challenge of the Cults and New Religions\" has received how many ECPA Christian Book Awards?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "For a real number $x$, let $\\lfloor x \\rfloor$ denote the greatest integer less than or equal to $x$, and let $\\{x\\} = x - \\lfloor x \\rfloor$ denote the fractional part of $x$. The sum of all real numbers $\\alpha$ that satisfy the equation $$\\alpha^2 + \\{\\alpha\\} = 21$$ can be expressed in the form $$\\frac{\\sqrt{a} - \\sqrt{b}}{c} - d$$ where $a$, $b$, $c$, and $d$ are positive integers, and $a$ and $b$ are not divisible by the square of any prime. Compute $a + b + c + d$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "169",
"style": "rule"
}
|
{
"index": 3043,
"need_tools_kwargs": true,
"question": "For a real number $x$, let $\\lfloor x \\rfloor$ denote the greatest integer less than or equal to $x$, and let $\\{x\\} = x - \\lfloor x \\rfloor$ denote the fractional part of $x$. The sum of all real numbers $\\alpha$ that satisfy the equation $$\\alpha^2 + \\{\\alpha\\} = 21$$ can be expressed in the form $$\\frac{\\sqrt{a} - \\sqrt{b}}{c} - d$$ where $a$, $b$, $c$, and $d$ are positive integers, and $a$ and $b$ are not divisible by the square of any prime. Compute $a + b + c + d$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the smallest possible sum of nine consecutive natural numbers if this sum ends in 3040102?",
"role": "user"
}
] |
math
|
{
"ground_truth": "83040102",
"style": "rule"
}
|
{
"index": 3044,
"need_tools_kwargs": true,
"question": "What is the smallest possible sum of nine consecutive natural numbers if this sum ends in 3040102?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 sport does Phil Mahre and Mikaela Shiffrin participate in?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "alpine ski racer",
"style": "rule"
}
|
{
"index": 3045,
"need_tools_kwargs": true,
"question": "What sport does Phil Mahre and Mikaela Shiffrin participate in?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where did the director of film The Lemon Sisters graduate from?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Brandeis University",
"style": "rule"
}
|
{
"index": 3046,
"need_tools_kwargs": true,
"question": "Where did the director of film The Lemon Sisters graduate 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": "In triangle \\( ABC \\), the side \\( AC = 5 \\) cm, \\( BC - AB = 2 \\) cm, and \\( \\angle A : \\angle C = 2 \\). Find the lengths of sides \\( AB \\) and \\( BC \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
|
{
"index": 3047,
"need_tools_kwargs": true,
"question": "In triangle \\( ABC \\), the side \\( AC = 5 \\) cm, \\( BC - AB = 2 \\) cm, and \\( \\angle A : \\angle C = 2 \\). Find the lengths of sides \\( AB \\) and \\( BC \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A smartphone seller is offering a discount of 5% off for customers who buy at least 2 smartphones at once. Melinda, Zoe and Joel want to buy an iPhone X each. If an iPhone X costs $600, how much can they save by pooling their money together and buying three iPhones at once from this seller rather than buying individually?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\$90",
"style": "rule"
}
|
{
"index": 3048,
"need_tools_kwargs": true,
"question": "A smartphone seller is offering a discount of 5% off for customers who buy at least 2 smartphones at once. Melinda, Zoe and Joel want to buy an iPhone X each. If an iPhone X costs $600, how much can they save by pooling their money together and buying three iPhones at once from this seller rather than buying individually?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 singer is American, Mark King or Nick Hexum?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Nicholas Lofton \"Nick\" Hexum",
"style": "rule"
}
|
{
"index": 3049,
"need_tools_kwargs": true,
"question": "Which singer is American, Mark King or Nick Hexum?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "求最大的正整数 k，使得存在正整数 a，满足 2^{x_1}-1, 2^{x_2}-1, \\cdots, 2^{x_k}-1 都是质数，其中数列 \\{x_n\\} 定义为： x_1=a，x_{n+1}=2x_n+1,n\\geq1.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 3050,
"need_tools_kwargs": true,
"question": "求最大的正整数 k，使得存在正整数 a，满足 2^{x_1}-1, 2^{x_2}-1, \\cdots, 2^{x_k}-1 都是质数，其中数列 \\{x_n\\} 定义为： x_1=a，x_{n+1}=2x_n+1,n\\geq1.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let the quadratic function \\(f(x) = ax^2 + bx + c\\) have its graph symmetric about the y-axis. It is given that \\(a + b = 1\\), and for any point \\((x, y)\\) on the graph of \\(y = f(x)\\), the point \\(\\left(x, y^2 + 1\\right)\\) lies on the graph of the function \\(g(x) = f(f(x))\\).\n\n1. Find the analytical expression of \\(g(x)\\).\n2. Let \\(F(x) = g(x) - \\lambda f(x)\\). Determine if there exists a real number \\(\\lambda\\) such that \\(F(x)\\) is a decreasing function in \\(\\left(-\\infty, -\\frac{\\sqrt{2}}{2}\\right]\\) and an increasing function in \\(\\left(-\\frac{\\sqrt{2}}{2}, 0\\right)\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 3051,
"need_tools_kwargs": true,
"question": "Let the quadratic function \\(f(x) = ax^2 + bx + c\\) have its graph symmetric about the y-axis. It is given that \\(a + b = 1\\), and for any point \\((x, y)\\) on the graph of \\(y = f(x)\\), the point \\(\\left(x, y^2 + 1\\right)\\) lies on the graph of the function \\(g(x) = f(f(x))\\).\n\n1. Find the analytical expression of \\(g(x)\\).\n2. Let \\(F(x) = g(x) - \\lambda f(x)\\). Determine if there exists a real number \\(\\lambda\\) such that \\(F(x)\\) is a decreasing function in \\(\\left(-\\infty, -\\frac{\\sqrt{2}}{2}\\right]\\) and an increasing function in \\(\\left(-\\frac{\\sqrt{2}}{2}, 0\\right)\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "From which country is Helen George's partner from when they finished in sixth place?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Slovenian",
"style": "rule"
}
|
{
"index": 3052,
"need_tools_kwargs": true,
"question": "From which country is Helen George's partner from when they finished in sixth place?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 ordered triples $(a,b,c)$ of positive reals that satisfy: $\\lfloor a\\rfloor bc=3,a\\lfloor b\\rfloor c=4$, and $ab\\lfloor c\\rfloor=5$, where $\\lfloor x\\rfloor$ denotes the greatest integer less than or equal to $x$. The original answer is in the form of two ordered triples: \\left(\\frac{\\sqrt{k}}{m}, \\frac{\\sqrt{k}}{n}, \\frac{p\\sqrt{k}}{q}\\right), \\left(\\frac{\\sqrt{r}}{s}, \\frac{\\sqrt{r}}{t}, \\frac{\\sqrt{r}}{u}\\right). Please provide the value of k + m + n + p + q + r + s + t + u.",
"role": "user"
}
] |
math
|
{
"ground_truth": "84",
"style": "rule"
}
|
{
"index": 3053,
"need_tools_kwargs": true,
"question": "Find all ordered triples $(a,b,c)$ of positive reals that satisfy: $\\lfloor a\\rfloor bc=3,a\\lfloor b\\rfloor c=4$, and $ab\\lfloor c\\rfloor=5$, where $\\lfloor x\\rfloor$ denotes the greatest integer less than or equal to $x$. The original answer is in the form of two ordered triples: \\left(\\frac{\\sqrt{k}}{m}, \\frac{\\sqrt{k}}{n}, \\frac{p\\sqrt{k}}{q}\\right), \\left(\\frac{\\sqrt{r}}{s}, \\frac{\\sqrt{r}}{t}, \\frac{\\sqrt{r}}{u}\\right). Please provide the value of k + m + n + p + q + r + s + t + u.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where is the team that Federico Agliardi plays for based?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Romagna",
"style": "rule"
}
|
{
"index": 3054,
"need_tools_kwargs": true,
"question": "Where is the team that Federico Agliardi plays for based?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $f$ be a polynomial. We say that a complex number $p$ is a double attractor if there exists a polynomial $h(x)$ so that $f(x)-f(p) = h(x)(x-p)^2$ for all x \\in R. Now, consider the polynomial $$f(x) = 12x^5 - 15x^4 - 40x^3 + 540x^2 - 2160x + 1,$$ and suppose that it’s double attractors are $a_1, a_2, ... , a_n$. If the sum $\\sum^{n}_{i=1}|a_i|$ can be written as $\\sqrt{a} +\\sqrt{b}$, where $a, b$ are positive integers, find $a + b$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "49",
"style": "rule"
}
|
{
"index": 3055,
"need_tools_kwargs": true,
"question": "Let $f$ be a polynomial. We say that a complex number $p$ is a double attractor if there exists a polynomial $h(x)$ so that $f(x)-f(p) = h(x)(x-p)^2$ for all x \\in R. Now, consider the polynomial $$f(x) = 12x^5 - 15x^4 - 40x^3 + 540x^2 - 2160x + 1,$$ and suppose that it’s double attractors are $a_1, a_2, ... , a_n$. If the sum $\\sum^{n}_{i=1}|a_i|$ can be written as $\\sqrt{a} +\\sqrt{b}$, where $a, b$ are positive integers, find $a + b$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The creator of a painting named Hope is noted for creating mosaics in what century?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "19th",
"style": "rule"
}
|
{
"index": 3056,
"need_tools_kwargs": true,
"question": "The creator of a painting named Hope is noted for creating mosaics in what century?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Hannah brought some money to the county fair. She spent half of it on rides and another $5 on dessert. She has $10 left. How much money did Hannah bring to the county fair?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\$30",
"style": "rule"
}
|
{
"index": 3057,
"need_tools_kwargs": true,
"question": "Hannah brought some money to the county fair. She spent half of it on rides and another $5 on dessert. She has $10 left. How much money did Hannah bring to the county fair?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 won the Americana music award for duo/group of the year, Raul Malo or Nick Gilder?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Raúl Malo",
"style": "rule"
}
|
{
"index": 3058,
"need_tools_kwargs": true,
"question": "Who won the Americana music award for duo/group of the year, Raul Malo or Nick Gilder?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Newest Pledge and Day Zero both from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 3059,
"need_tools_kwargs": true,
"question": "Are The Newest Pledge and Day Zero both from the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given the functions $f(x)=x^{2}-2x+2$ and $g(x)=-x^{2}+ax+b- \\frac {1}{2}$, one of their intersection points is $P$. The tangent lines $l_{1}$ and $l_{2}$ to the functions $f(x)$ and $g(x)$ at point $P$ are perpendicular. Find the maximum value of $ab$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{9}{4}",
"style": "rule"
}
|
{
"index": 3060,
"need_tools_kwargs": true,
"question": "Given the functions $f(x)=x^{2}-2x+2$ and $g(x)=-x^{2}+ax+b- \\frac {1}{2}$, one of their intersection points is $P$. The tangent lines $l_{1}$ and $l_{2}$ to the functions $f(x)$ and $g(x)$ at point $P$ are perpendicular. Find the maximum value of $ab$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In triangle \\(ABC\\), the perpendicular bisectors of sides \\(AB\\) and \\(AC\\) are drawn, intersecting lines \\(AC\\) and \\(AB\\) at points \\(N\\) and \\(M\\) respectively. The length of segment \\(NM\\) is equal to the length of side \\(BC\\) of the triangle. The angle at vertex \\(C\\) of the triangle is \\(40^\\circ\\). Find the angle at vertex \\(B\\) of the triangle.",
"role": "user"
}
] |
math
|
{
"ground_truth": "50",
"style": "rule"
}
|
{
"index": 3061,
"need_tools_kwargs": true,
"question": "In triangle \\(ABC\\), the perpendicular bisectors of sides \\(AB\\) and \\(AC\\) are drawn, intersecting lines \\(AC\\) and \\(AB\\) at points \\(N\\) and \\(M\\) respectively. The length of segment \\(NM\\) is equal to the length of side \\(BC\\) of the triangle. The angle at vertex \\(C\\) of the triangle is \\(40^\\circ\\). Find the angle at vertex \\(B\\) of the triangle.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "acme ’ s manufacturing costs for sets of horseshoes include a $ 12450 initial outlay , and $ 20.75 per set . they can sell the sets $ 50 . if profit is revenue from sales minus manufacturing costs , and the company producessells 950 sets of horseshoes , what was their profit ?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\$15,337.50",
"style": "rule"
}
|
{
"index": 3062,
"need_tools_kwargs": true,
"question": "acme ’ s manufacturing costs for sets of horseshoes include a $ 12450 initial outlay , and $ 20.75 per set . they can sell the sets $ 50 . if profit is revenue from sales minus manufacturing costs , and the company producessells 950 sets of horseshoes , what was their profit ?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Splendor in the Grass was a film directed by a Greek-American director described as \"one of the most honored and influential directors in Broadway and Hollywood history\" by who?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "The New York Times",
"style": "rule"
}
|
{
"index": 3063,
"need_tools_kwargs": true,
"question": "Splendor in the Grass was a film directed by a Greek-American director described as \"one of the most honored and influential directors in Broadway and Hollywood history\" by who?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which company is engaged in the bottling and distribution in the Philippines of the cola-flavored soft drink developed in 1905 by Claud A. Hatcher?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Macay Holdings, Inc.",
"style": "rule"
}
|
{
"index": 3064,
"need_tools_kwargs": true,
"question": "Which company is engaged in the bottling and distribution in the Philippines of the cola-flavored soft drink developed in 1905 by Claud A. Hatcher?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 point \\( P(x, y) \\) satisfies \\( |x| + |y| \\leq 2 \\), find the probability for point \\( P \\) to have a distance \\( d \\leq 1 \\) from the \\( x \\)-axis.",
"role": "user"
}
] |
math
|
{
"ground_truth": "0.75",
"style": "rule"
}
|
{
"index": 3065,
"need_tools_kwargs": true,
"question": "Given that point \\( P(x, y) \\) satisfies \\( |x| + |y| \\leq 2 \\), find the probability for point \\( P \\) to have a distance \\( d \\leq 1 \\) from the \\( x \\)-axis.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who was born first Tom Shadyac or Joe Camp?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Joseph S. Camp, Jr.",
"style": "rule"
}
|
{
"index": 3066,
"need_tools_kwargs": true,
"question": "Who was born first Tom Shadyac or Joe Camp?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": " Chad A. Lupinacci is an Assembly member whose districts include one with a population of what as of the 2010 census?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "11,177",
"style": "rule"
}
|
{
"index": 3067,
"need_tools_kwargs": true,
"question": " Chad A. Lupinacci is an Assembly member whose districts include one with a population of what as of the 2010 census?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What film's score was composed by the same person who produced an album called The City?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Bitter Moon",
"style": "rule"
}
|
{
"index": 3068,
"need_tools_kwargs": true,
"question": "What film's score was composed by the same person who produced an album called The City?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The expression $\\left(1 + \\sqrt[6]{26 + 15\\sqrt3} -\\sqrt[6]{26 - 15\\sqrt3}\\right)^6= m + n\\sqrt{p}$ , where $m, n$, and $p$ are positive integers, and $p$ is not divisible by the square of any prime. Find $m + n + p$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "171",
"style": "rule"
}
|
{
"index": 3069,
"need_tools_kwargs": true,
"question": "The expression $\\left(1 + \\sqrt[6]{26 + 15\\sqrt3} -\\sqrt[6]{26 - 15\\sqrt3}\\right)^6= m + n\\sqrt{p}$ , where $m, n$, and $p$ are positive integers, and $p$ is not divisible by the square of any prime. Find $m + n + p$.",
"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": "In the given diagram, determine the length of side $x$.\n\n[asy]\nimport olympiad;\ndraw((0,0)--(1,0)--(0.5,sqrt(3)/2)--cycle);\ndraw((0,0)--(-1,0)--(0.5,sqrt(3)/2)--cycle);\nlabel(\"6\",(-1/2,sqrt(3)/4),NW);\nlabel(\"$x$\",(0.75,sqrt(3)/4),NE);\ndraw(\"$30^{\\circ}$\",(1.2,0),NW);\ndraw(\"$45^{\\circ}$\",(-1.1,0),NE);\ndraw(rightanglemark((0.5,sqrt(3)/2),(0,0),(1,0),4));\n[/asy]",
"role": "user"
}
] |
math
|
{
"ground_truth": "2\\sqrt{6}",
"style": "rule"
}
|
{
"index": 3070,
"need_tools_kwargs": true,
"question": "In the given diagram, determine the length of side $x$.\n\n[asy]\nimport olympiad;\ndraw((0,0)--(1,0)--(0.5,sqrt(3)/2)--cycle);\ndraw((0,0)--(-1,0)--(0.5,sqrt(3)/2)--cycle);\nlabel(\"6\",(-1/2,sqrt(3)/4),NW);\nlabel(\"$x$\",(0.75,sqrt(3)/4),NE);\ndraw(\"$30^{\\circ}$\",(1.2,0),NW);\ndraw(\"$45^{\\circ}$\",(-1.1,0),NE);\ndraw(rightanglemark((0.5,sqrt(3)/2),(0,0),(1,0),4));\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": "Given the function $f\\left(x\\right)=ax^{3}-3x^{2}+1$, if $f\\left(x\\right)$ has a unique zero point $x_{0}$ and $x_{0} \\lt 0$, then the range of $a$ is ____.",
"role": "user"
}
] |
math
|
{
"ground_truth": "a > 2",
"style": "rule"
}
|
{
"index": 3071,
"need_tools_kwargs": true,
"question": "Given the function $f\\left(x\\right)=ax^{3}-3x^{2}+1$, if $f\\left(x\\right)$ has a unique zero point $x_{0}$ and $x_{0} \\lt 0$, then the range of $a$ is ____.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $F(0) = 0,$ $F(1) = \\frac{3}{2},$ and\n\\[F(n) = \\frac{5}{2} F(n - 1) - F(n - 2)\\]for $n \\ge 2.$ Find\n\\[\\sum_{n = 0}^\\infty \\frac{1}{F(2^n)}.\\]",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"index": 3072,
"need_tools_kwargs": true,
"question": "Let $F(0) = 0,$ $F(1) = \\frac{3}{2},$ and\n\\[F(n) = \\frac{5}{2} F(n - 1) - F(n - 2)\\]for $n \\ge 2.$ Find\n\\[\\sum_{n = 0}^\\infty \\frac{1}{F(2^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": "Who is the mother of the director of film Chhapaak?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Raakhee",
"style": "rule"
}
|
{
"index": 3073,
"need_tools_kwargs": true,
"question": "Who is the mother of the director of film Chhapaak?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Both Gert Bo Jacobsen and Greg Haugen were professionals at what sport?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "boxer",
"style": "rule"
}
|
{
"index": 3074,
"need_tools_kwargs": true,
"question": "Both Gert Bo Jacobsen and Greg Haugen were professionals at what sport?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Malvina and Pierro have several coins, each with a value of 1 soldi. Their total amount is less than 40 soldi. If Pierro manages to increase his amount of money by 8 times, he will have more money than Malvina. However, if Pierro only quadruples his capital and Buratino adds another 15 soldi to it, he still won't surpass Malvina. How much money does Malvina have?",
"role": "user"
}
] |
math
|
{
"ground_truth": "31",
"style": "rule"
}
|
{
"index": 3075,
"need_tools_kwargs": true,
"question": "Malvina and Pierro have several coins, each with a value of 1 soldi. Their total amount is less than 40 soldi. If Pierro manages to increase his amount of money by 8 times, he will have more money than Malvina. However, if Pierro only quadruples his capital and Buratino adds another 15 soldi to it, he still won't surpass Malvina. How much money does Malvina 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": " Czech dish Svíčková is generally served with these dumplings that are usually made from what?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "flour, bread or potatoes",
"style": "rule"
}
|
{
"index": 3076,
"need_tools_kwargs": true,
"question": " Czech dish Svíčková is generally served with these dumplings that are usually made from 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 is the 2012 population of the county in which Jersey Park Farm is located?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "75,283",
"style": "rule"
}
|
{
"index": 3077,
"need_tools_kwargs": true,
"question": "What is the 2012 population of the county in which Jersey Park Farm is located?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the maximum rate at which the function \\( u(M) = \\frac{10}{x^2 + y^2 + z^2 + 1} \\) can increase as the point \\( M(x, y, z) \\) passes through the point \\( M_0(-1, 2, -2) \\)? In which direction should the point \\( M \\) move as it passes through the point \\( M_1(2, 0, 1) \\) for the function \\( u(M) \\) to decrease at the greatest rate?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{3}{5}",
"style": "rule"
}
|
{
"index": 3078,
"need_tools_kwargs": true,
"question": "What is the maximum rate at which the function \\( u(M) = \\frac{10}{x^2 + y^2 + z^2 + 1} \\) can increase as the point \\( M(x, y, z) \\) passes through the point \\( M_0(-1, 2, -2) \\)? In which direction should the point \\( M \\) move as it passes through the point \\( M_1(2, 0, 1) \\) for the function \\( u(M) \\) to decrease at the greatest rate?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let \\( p(x) = x^{4} + a x^{3} + b x^{2} + c x + d \\), where \\( a, b, c, d \\) are constants, and \\( p(1) = 1993 \\), \\( p(2) = 3986 \\), \\( p(3) = 5979 \\). Calculate \\( \\frac{1}{4}[p(11) + p(-7)] \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "5233",
"style": "rule"
}
|
{
"index": 3079,
"need_tools_kwargs": true,
"question": "Let \\( p(x) = x^{4} + a x^{3} + b x^{2} + c x + d \\), where \\( a, b, c, d \\) are constants, and \\( p(1) = 1993 \\), \\( p(2) = 3986 \\), \\( p(3) = 5979 \\). Calculate \\( \\frac{1}{4}[p(11) + p(-7)] \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Identify the isometry that transforms the line segment \\(\\overline{CD}\\) onto the line segment \\(\\overline{C'D'}\\), given that the coordinates of point \\(C\\) are \\((-3, 0)\\) and are transformed to \\(C'(3, 0)\\), while the coordinates of point \\(D\\) are \\((0, 5)\\) and are transformed to \\(D'(0, -5)\\). Explain your reasoning.",
"role": "user"
}
] |
math
|
{
"ground_truth": "180",
"style": "rule"
}
|
{
"index": 3080,
"need_tools_kwargs": true,
"question": "Identify the isometry that transforms the line segment \\(\\overline{CD}\\) onto the line segment \\(\\overline{C'D'}\\), given that the coordinates of point \\(C\\) are \\((-3, 0)\\) and are transformed to \\(C'(3, 0)\\), while the coordinates of point \\(D\\) are \\((0, 5)\\) and are transformed to \\(D'(0, -5)\\). Explain your reasoning.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given a hyperbola centered at the origin with foci on the x-axis and eccentricity $e=\\frac{5}{3}$, which is tangent to the line $8x + 2\\sqrt{7}y - 16 = 0$. Find the equation of the hyperbola.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{x^2}{18} - \\frac{y^2}{32} = 1",
"style": "rule"
}
|
{
"index": 3081,
"need_tools_kwargs": true,
"question": "Given a hyperbola centered at the origin with foci on the x-axis and eccentricity $e=\\frac{5}{3}$, which is tangent to the line $8x + 2\\sqrt{7}y - 16 = 0$. Find the equation of the hyperbola.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 musician that Imperial Records worked with toured with Elvis Presley?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Slim Whitman",
"style": "rule"
}
|
{
"index": 3082,
"need_tools_kwargs": true,
"question": "Which musician that Imperial Records worked with toured with Elvis Presley?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "\"Need You Around\" is a song featured in the soundtrack of a coming-of-age comedy film loosely based on a novel by who?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Jane Austen",
"style": "rule"
}
|
{
"index": 3083,
"need_tools_kwargs": true,
"question": "\"Need You Around\" is a song featured in the soundtrack of a coming-of-age comedy film loosely based on a novel 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": "Let \\\\(f(x)= \\sqrt {3}\\sin 3x+\\cos 3x\\\\), if for any real number \\\\(x\\\\), \\\\(|f(x)|\\leqslant a\\\\) holds, then the range of the real number \\\\(a\\\\) is \\_\\_\\_\\_\\_\\_.",
"role": "user"
}
] |
math
|
{
"ground_truth": "a\\geqslant 2",
"style": "rule"
}
|
{
"index": 3084,
"need_tools_kwargs": true,
"question": "Let \\\\(f(x)= \\sqrt {3}\\sin 3x+\\cos 3x\\\\), if for any real number \\\\(x\\\\), \\\\(|f(x)|\\leqslant a\\\\) holds, then the range of the real number \\\\(a\\\\) is \\_\\_\\_\\_\\_\\_.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "for a certain art exhibit , a museum sold admission tickets to a group of 30 people every 5 minutes from 9 : 00 in the morning to 5 : 55 in the afternoon , inclusive . the price of a regular admission ticket was $ 8 and the price of a student ticket was $ 4 . if on one day 3 times as many regular admission tickets were sold as student tickets , what was the total revenue from ticket sales that day ?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\$22,456",
"style": "rule"
}
|
{
"index": 3085,
"need_tools_kwargs": true,
"question": "for a certain art exhibit , a museum sold admission tickets to a group of 30 people every 5 minutes from 9 : 00 in the morning to 5 : 55 in the afternoon , inclusive . the price of a regular admission ticket was $ 8 and the price of a student ticket was $ 4 . if on one day 3 times as many regular admission tickets were sold as student tickets , what was the total revenue from ticket sales that 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": "What is the date of death of the director of film Faustine Et Le Bel Été?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "9 April 2015",
"style": "rule"
}
|
{
"index": 3086,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film Faustine Et Le Bel Été?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 figure below has only two sizes for its internal angles. The larger angles are three times the size of the smaller angles. Find the degree measure of one of the larger angles. \n\nNote: The figure is a nonagon (9-sided polygon).",
"role": "user"
}
] |
math
|
{
"ground_truth": "252",
"style": "rule"
}
|
{
"index": 3087,
"need_tools_kwargs": true,
"question": "The figure below has only two sizes for its internal angles. The larger angles are three times the size of the smaller angles. Find the degree measure of one of the larger angles. \n\nNote: The figure is a nonagon (9-sided polygon).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Each cell of an $m\\times n$ board is filled with some nonnegative integer. Two numbers in the filling are said to be adjacent if their cells share a common side. (Note that two numbers in cells that share only a corner are not adjacent). The filling is called a garden if it satisfies the following two conditions:\n(i) The difference between any two adjacent numbers is either $0$ or $1$. \n(ii) If a number is less than or equal to all of its adjacent numbers, then it is equal to $0$ .\nDetermine the number of distinct gardens in terms of $m$ and $n$ .",
"role": "user"
}
] |
math
|
{
"ground_truth": "2^{mn} - 1",
"style": "rule"
}
|
{
"index": 3088,
"need_tools_kwargs": true,
"question": "Each cell of an $m\\times n$ board is filled with some nonnegative integer. Two numbers in the filling are said to be adjacent if their cells share a common side. (Note that two numbers in cells that share only a corner are not adjacent). The filling is called a garden if it satisfies the following two conditions:\n(i) The difference between any two adjacent numbers is either $0$ or $1$. \n(ii) If a number is less than or equal to all of its adjacent numbers, then it is equal to $0$ .\nDetermine the number of distinct gardens in terms of $m$ and $n$ .",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The USRC \"Benjamin Rush\" was stationed in what current Pennsylvania county?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Erie County",
"style": "rule"
}
|
{
"index": 3089,
"need_tools_kwargs": true,
"question": "The USRC \"Benjamin Rush\" was stationed in what current Pennsylvania county?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The airport adjacent to the Cedars immigration detention facility is located how far away from Central London?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "29.5 mi south",
"style": "rule"
}
|
{
"index": 3090,
"need_tools_kwargs": true,
"question": "The airport adjacent to the Cedars immigration detention facility is located how far away from Central London?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Lohandar and Mineh located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 3091,
"need_tools_kwargs": true,
"question": "Are Lohandar and Mineh located in the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "How many members are in the lower house of the Legislature that Mark Uglem is in?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "134",
"style": "rule"
}
|
{
"index": 3092,
"need_tools_kwargs": true,
"question": "How many members are in the lower house of the Legislature that Mark Uglem is in?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given a cube with 27 specific points consisting of its 8 vertices, the midpoints of its 12 edges, the centers of its 6 faces, and the center of the cube, determine how many sets of three collinear points can be formed from these points.",
"role": "user"
}
] |
math
|
{
"ground_truth": "49",
"style": "rule"
}
|
{
"index": 3093,
"need_tools_kwargs": true,
"question": "Given a cube with 27 specific points consisting of its 8 vertices, the midpoints of its 12 edges, the centers of its 6 faces, and the center of the cube, determine how many sets of three collinear points can be formed from these 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": "The fictional country of Isoland uses a 6-letter license plate system using the same 12-letter alphabet as the Rotokas of Papua New Guinea (A, E, G, I, K, O, P, R, T, U, V). Design a license plate that starts with a vowel (A, E, I, O, U), ends with a consonant (G, K, P, R, T, V), contains no repeated letters and does not include the letter S.",
"role": "user"
}
] |
math
|
{
"ground_truth": "151200",
"style": "rule"
}
|
{
"index": 3094,
"need_tools_kwargs": true,
"question": "The fictional country of Isoland uses a 6-letter license plate system using the same 12-letter alphabet as the Rotokas of Papua New Guinea (A, E, G, I, K, O, P, R, T, U, V). Design a license plate that starts with a vowel (A, E, I, O, U), ends with a consonant (G, K, P, R, T, V), contains no repeated letters and does not include the letter S.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Dianne runs a store that sells books. 37% of her 1000 customers end up returning their books. Her books all cost 15 dollars apiece. How much money does she keep in sales after subtracting the returns?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\$9,450",
"style": "rule"
}
|
{
"index": 3095,
"need_tools_kwargs": true,
"question": "Dianne runs a store that sells books. 37% of her 1000 customers end up returning their books. Her books all cost 15 dollars apiece. How much money does she keep in sales after subtracting the returns?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "已知正实数 $x, y$ 满足: $\\frac{1}{x+3 y}+\\frac{1}{2 x+y}=1$, 则 $x+y$ 的最小值是。原始答案是 \\frac{m+2\\sqrt{n}}{k} 的格式，请给出 m + n + k 的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "9",
"style": "rule"
}
|
{
"index": 3096,
"need_tools_kwargs": true,
"question": "已知正实数 $x, y$ 满足: $\\frac{1}{x+3 y}+\\frac{1}{2 x+y}=1$, 则 $x+y$ 的最小值是。原始答案是 \\frac{m+2\\sqrt{n}}{k} 的格式，请给出 m + n + k 的值。",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What nickname was given to the man who carried out an attack on the Admiral Duncan pub ?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "London Nail Bomber",
"style": "rule"
}
|
{
"index": 3097,
"need_tools_kwargs": true,
"question": "What nickname was given to the man who carried out an attack on the Admiral Duncan pub ?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 points $F\\_1$ and $F\\_2$, which are the left and right foci of the hyperbola $\\frac{x^2}{a^2} - \\frac{y^2}{b^2} = 1 (a > 0, b > 0)$, the line passing through $F\\_1$ and perpendicular to the $x$-axis intersects the hyperbola at $\\_\\_\\_\\_\\_\\_$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "(-c, \\pm \\frac{b^2}{a})",
"style": "rule"
}
|
{
"index": 3098,
"need_tools_kwargs": true,
"question": "Given points $F\\_1$ and $F\\_2$, which are the left and right foci of the hyperbola $\\frac{x^2}{a^2} - \\frac{y^2}{b^2} = 1 (a > 0, b > 0)$, the line passing through $F\\_1$ and perpendicular to the $x$-axis intersects the hyperbola at $\\_\\_\\_\\_\\_\\_$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "If the maximum value of the function $f(x)=a^{x} (a > 0, a \\neq 1)$ on $[-2,1]$ is $4$, and the minimum value is $m$, what is the value of $m$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{1}{2}",
"style": "rule"
}
|
{
"index": 3099,
"need_tools_kwargs": true,
"question": "If the maximum value of the function $f(x)=a^{x} (a > 0, a \\neq 1)$ on $[-2,1]$ is $4$, and the minimum value is $m$, what is the value of $m$?",
"split": "train"
}
| null |
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