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": "In \"The Simpsons\" fourteenth episode of season nine, what 1954 novel did they have an extended parody on? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Lord of the Flies",
"style": "rule"
}
|
{
"index": 3500,
"need_tools_kwargs": true,
"question": "In \"The Simpsons\" fourteenth episode of season nine, what 1954 novel did they have an extended parody on? ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given the function $f(x) = \\sin\\left(\\frac{5\\pi}{3}x + \\frac{\\pi}{6}\\right) + \\frac{3x}{2x-1}$, then the value of $f\\left(\\frac{1}{2016}\\right) + f\\left(\\frac{3}{2016}\\right) + f\\left(\\frac{5}{2016}\\right) + f\\left(\\frac{7}{2016}\\right) + \\ldots + f\\left(\\frac{2015}{2016}\\right) = \\_\\_\\_\\_\\_\\_$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "1512",
"style": "rule"
}
|
{
"index": 3501,
"need_tools_kwargs": true,
"question": "Given the function $f(x) = \\sin\\left(\\frac{5\\pi}{3}x + \\frac{\\pi}{6}\\right) + \\frac{3x}{2x-1}$, then the value of $f\\left(\\frac{1}{2016}\\right) + f\\left(\\frac{3}{2016}\\right) + f\\left(\\frac{5}{2016}\\right) + f\\left(\\frac{7}{2016}\\right) + \\ldots + f\\left(\\frac{2015}{2016}\\right) = \\_\\_\\_\\_\\_\\_$.",
"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": "What is the name of the stage production that Wim Hogenkamp starred in that started out as a rock musical?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Hair",
"style": "rule"
}
|
{
"index": 3502,
"need_tools_kwargs": true,
"question": "What is the name of the stage production that Wim Hogenkamp starred in that started out as a rock musical?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When did the director of film Racing Blood die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "April 11, 1994",
"style": "rule"
}
|
{
"index": 3503,
"need_tools_kwargs": true,
"question": "When did the director of film Racing Blood die?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In right triangle $ABC$, where $\\angle BAC = 90^\\circ$, lengths $AB=2$ and $AC=4$. The side $\\overline{BC}$ and the median from $A$ to $\\overline{BC}$ have the same length. Determine $BC$ and express your answer in simplest radical form.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2\\sqrt{5}",
"style": "rule"
}
|
{
"index": 3504,
"need_tools_kwargs": true,
"question": "In right triangle $ABC$, where $\\angle BAC = 90^\\circ$, lengths $AB=2$ and $AC=4$. The side $\\overline{BC}$ and the median from $A$ to $\\overline{BC}$ have the same length. Determine $BC$ and express your answer in simplest radical form.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Are both Tahiti 80 and Sector 27 from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 3505,
"need_tools_kwargs": true,
"question": "Are both Tahiti 80 and Sector 27 from the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of death of the director of film Top Hat?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "March 4, 1945",
"style": "rule"
}
|
{
"index": 3506,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film Top Hat?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Do both films The Story Of Esther Costello and The Organization (Film) have the directors from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 3507,
"need_tools_kwargs": true,
"question": "Do both films The Story Of Esther Costello and The Organization (Film) have the directors 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": "Mr. Reader has six different Spiderman comic books, five different Archie comic books and four different Garfield comic books. When stacked, all of the Spiderman comic books are grouped together, all of the Archie comic books are grouped together and all of the Garfield comic books are grouped together. In how many different orders can these 15 comic books be stacked in a pile with the covers facing up and all of them facing the same direction? Express your answer as a whole number.",
"role": "user"
}
] |
math
|
{
"ground_truth": "12,\\!441,\\!600",
"style": "rule"
}
|
{
"index": 3508,
"need_tools_kwargs": true,
"question": "Mr. Reader has six different Spiderman comic books, five different Archie comic books and four different Garfield comic books. When stacked, all of the Spiderman comic books are grouped together, all of the Archie comic books are grouped together and all of the Garfield comic books are grouped together. In how many different orders can these 15 comic books be stacked in a pile with the covers facing up and all of them facing the same direction? Express your answer as a whole number.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In which German federal state was did Walter Schlesinger born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Hesse",
"style": "rule"
}
|
{
"index": 3509,
"need_tools_kwargs": true,
"question": "In which German federal state was did Walter Schlesinger born?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "At a team press conference, there are eight players from three teams to be seated: four from the Cubs, three from the Red Sox, and one coach. The Cubs insist on sitting together, the Red Sox also wish to sit together, and the coach needs to sit at one end of the row. How many ways can they be seated?",
"role": "user"
}
] |
math
|
{
"ground_truth": "576",
"style": "rule"
}
|
{
"index": 3510,
"need_tools_kwargs": true,
"question": "At a team press conference, there are eight players from three teams to be seated: four from the Cubs, three from the Red Sox, and one coach. The Cubs insist on sitting together, the Red Sox also wish to sit together, and the coach needs to sit at one end of the row. How many ways can they be seated?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In a circle with center $O$, the measure of $\\angle BAC$ is $45^\\circ$, and the radius of the circle $OA=15$ cm. Also, $\\angle BAC$ subtends another arc $BC$ which does not include point $A$. Compute the length of arc $BC$ in terms of $\\pi$. [asy]\ndraw(circle((0,0),1));\ndraw((0,0)--(sqrt(2)/2,sqrt(2)/2)--(-sqrt(2)/2,sqrt(2)/2)--(0,0));\nlabel(\"$O$\", (0,0), SW); label(\"$A$\", (sqrt(2)/2,sqrt(2)/2), NE); label(\"$B$\", (-sqrt(2)/2,sqrt(2)/2), NW);\n[/asy]",
"role": "user"
}
] |
math
|
{
"ground_truth": "22.5\\pi",
"style": "rule"
}
|
{
"index": 3511,
"need_tools_kwargs": true,
"question": "In a circle with center $O$, the measure of $\\angle BAC$ is $45^\\circ$, and the radius of the circle $OA=15$ cm. Also, $\\angle BAC$ subtends another arc $BC$ which does not include point $A$. Compute the length of arc $BC$ in terms of $\\pi$. [asy]\ndraw(circle((0,0),1));\ndraw((0,0)--(sqrt(2)/2,sqrt(2)/2)--(-sqrt(2)/2,sqrt(2)/2)--(0,0));\nlabel(\"$O$\", (0,0), SW); label(\"$A$\", (sqrt(2)/2,sqrt(2)/2), NE); label(\"$B$\", (-sqrt(2)/2,sqrt(2)/2), NW);\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": "Couriers from locations $A$ and $B$ move at a uniform pace but with different speeds towards each other. After meeting, one of them takes another 16 hours and the other takes another 9 hours to reach their respective destinations. How much time does it take for each of them to travel the entire distance from $A$ to $B$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "21",
"style": "rule"
}
|
{
"index": 3512,
"need_tools_kwargs": true,
"question": "Couriers from locations $A$ and $B$ move at a uniform pace but with different speeds towards each other. After meeting, one of them takes another 16 hours and the other takes another 9 hours to reach their respective destinations. How much time does it take for each of them to travel the entire distance from $A$ to $B$?",
"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": "Divide $a^{2^k} − b^{2^k}$ by $(a + b)(a ^2 + b ^2 )(a ^4 + b^ 4 )\\cdots (a^ {2 ^{k-1}} + b^ {2 ^{k-1}} )$. If $a=1$ and $b=-1$, what is the result of the division?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"index": 3513,
"need_tools_kwargs": true,
"question": "Divide $a^{2^k} − b^{2^k}$ by $(a + b)(a ^2 + b ^2 )(a ^4 + b^ 4 )\\cdots (a^ {2 ^{k-1}} + b^ {2 ^{k-1}} )$. If $a=1$ and $b=-1$, what is the result of the division?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "After the World Hockey Championship, three journalists wrote articles about the German team - each for their own newspaper.\n\n- The first wrote: \"The German team scored more than 10 but less than 17 goals throughout the championship.\"\n- The second wrote: \"The German team scored more than 11 but less than 18 goals throughout the championship.\"\n- The third wrote: \"The German team scored an odd number of goals throughout the championship.\"\n \nIt turned out that only two of the journalists were correct. How many goals could the German team have scored in the championship? List all possible options.",
"role": "user"
}
] |
math
|
{
"ground_truth": "[11, 12, 14, 16, 17]",
"style": "rule"
}
|
{
"index": 3514,
"need_tools_kwargs": true,
"question": "After the World Hockey Championship, three journalists wrote articles about the German team - each for their own newspaper.\n\n- The first wrote: \"The German team scored more than 10 but less than 17 goals throughout the championship.\"\n- The second wrote: \"The German team scored more than 11 but less than 18 goals throughout the championship.\"\n- The third wrote: \"The German team scored an odd number of goals throughout the championship.\"\n \nIt turned out that only two of the journalists were correct. How many goals could the German team have scored in the championship? List all possible options.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "On what day, month, and year did the Winnipeg Free Press cease publishing its regular Sunday edition?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "November 1, 2009",
"style": "rule"
}
|
{
"index": 3515,
"need_tools_kwargs": true,
"question": "On what day, month, and year did the Winnipeg Free Press cease publishing its regular Sunday edition?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Don Smoothey and Mauro Blanco share the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 3516,
"need_tools_kwargs": true,
"question": "Do Don Smoothey and Mauro Blanco share the same nationality?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In a square lawn with a side length of $a$, there are sprinklers installed at each of the four corners. Each sprinkler can rotate and spray water over a $90^{\\circ}$ angle, reaching from one side of the corner to the other, with an effective range of $a$. What proportion of the lawn can be simultaneously covered by the water from all four sprinklers?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{\\pi}{3} + 1 - \\sqrt{3}",
"style": "rule"
}
|
{
"index": 3517,
"need_tools_kwargs": true,
"question": "In a square lawn with a side length of $a$, there are sprinklers installed at each of the four corners. Each sprinkler can rotate and spray water over a $90^{\\circ}$ angle, reaching from one side of the corner to the other, with an effective range of $a$. What proportion of the lawn can be simultaneously covered by the water from all four sprinklers?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Princess María De Los Dolores Of Bourbon-Two Sicilies's mother?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "French",
"style": "rule"
}
|
{
"index": 3518,
"need_tools_kwargs": true,
"question": "What nationality is Princess María De Los Dolores Of Bourbon-Two Sicilies'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": "The complex number \\( z \\) satisfies \\( z+\\frac{1}{z} \\in \\mathbf{R} \\) and \\( |z-2|=\\sqrt{2} \\). How many such complex numbers \\( z \\) are there?\nA. 1\nB. 2\nC. 3\nD. 4",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"index": 3519,
"need_tools_kwargs": true,
"question": "The complex number \\( z \\) satisfies \\( z+\\frac{1}{z} \\in \\mathbf{R} \\) and \\( |z-2|=\\sqrt{2} \\). How many such complex numbers \\( z \\) are there?\nA. 1\nB. 2\nC. 3\nD. 4",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "All faces of a tetrahedron are right-angled triangles. It is known that three of its edges have the same length $s$ . Find the volume of the tetrahedron.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{s^3\\sqrt{2}}{12}",
"style": "rule"
}
|
{
"index": 3520,
"need_tools_kwargs": true,
"question": "All faces of a tetrahedron are right-angled triangles. It is known that three of its edges have the same length $s$ . Find the volume of the tetrahedron.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Roy Galbriath Henderson taught what English contralto singer that died of cancer during the height of her career? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Kathleen Mary Ferrier",
"style": "rule"
}
|
{
"index": 3521,
"need_tools_kwargs": true,
"question": "Roy Galbriath Henderson taught what English contralto singer that died of cancer during the height of her career? ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Crosswind is a drama about this, a mass deportation by the Soviet Union in 1940-1941?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "June deportation",
"style": "rule"
}
|
{
"index": 3522,
"need_tools_kwargs": true,
"question": "In the Crosswind is a drama about this, a mass deportation by the Soviet Union in 1940-1941?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Berlin: Live At St. Ann'S Warehouse?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American",
"style": "rule"
}
|
{
"index": 3523,
"need_tools_kwargs": true,
"question": "What nationality is the composer of film Berlin: Live At St. Ann'S Warehouse?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What American writer helped create Klutter?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Savage Steve Holland",
"style": "rule"
}
|
{
"index": 3524,
"need_tools_kwargs": true,
"question": "What American writer helped create Klutter?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 geometric sequence $\\{a_n\\}$, the terms $2a_4$, $a_6$, and $48$ form an arithmetic sequence, and $a_3 \\cdot a_5 = 64$. Find the sum of the first 8 terms of $\\{a_n\\}$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "85",
"style": "rule"
}
|
{
"index": 3525,
"need_tools_kwargs": true,
"question": "In the geometric sequence $\\{a_n\\}$, the terms $2a_4$, $a_6$, and $48$ form an arithmetic sequence, and $a_3 \\cdot a_5 = 64$. Find the sum of the first 8 terms of $\\{a_n\\}$.",
"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": "What television series did the actor that Penny Layden performed with in The Libertine star in and subsequently became a teen idol?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "21 Jump Street",
"style": "rule"
}
|
{
"index": 3526,
"need_tools_kwargs": true,
"question": "What television series did the actor that Penny Layden performed with in The Libertine star in and subsequently became a teen idol?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "We have a $9 \\times 9$ chessboard with 9 kings in the bottom row. Each king can move to any of the 8 adjacent squares. What is the minimum number of moves required to arrange all the kings into an $X$ shape on a $5 \\times 5$ region, such that there are 5 kings along each diagonal of the $X$?\n\n\\[\n\\begin{array}{ccccc}\n O & & & & O \\\\\n & O & & O & \\\\\n & & O & & \\\\\n & O & & O & \\\\\n O & & & & O \\\\\n\\end{array}\n\\]",
"role": "user"
}
] |
math
|
{
"ground_truth": "18",
"style": "rule"
}
|
{
"index": 3527,
"need_tools_kwargs": true,
"question": "We have a $9 \\times 9$ chessboard with 9 kings in the bottom row. Each king can move to any of the 8 adjacent squares. What is the minimum number of moves required to arrange all the kings into an $X$ shape on a $5 \\times 5$ region, such that there are 5 kings along each diagonal of the $X$?\n\n\\[\n\\begin{array}{ccccc}\n O & & & & O \\\\\n & O & & O & \\\\\n & & O & & \\\\\n & O & & O & \\\\\n O & & & & O \\\\\n\\end{array}\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": "When did the symphonic black/industrial metal band that formed in 1987 in Sion release their fourth album?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "19 August 1996",
"style": "rule"
}
|
{
"index": 3528,
"need_tools_kwargs": true,
"question": "When did the symphonic black/industrial metal band that formed in 1987 in Sion release their fourth album?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 straight line $y=x+b$ intersects with the curve $({x-2})^{2}+({y-3})^{2}=4 (0 \\leqslant x \\leqslant 4, 1 \\leqslant y \\leqslant 3)$, then the range of the real number $b$ is ( ).\n\nA: $\\left[ 1-2\\sqrt{2},3 \\right]$\nB: $\\left[ 1-\\sqrt{2},3 \\right]$\nC: $\\left[ -1,1+2\\sqrt{2} \\right]$\nD: $\\left[ 1-2\\sqrt{2},1+2\\sqrt{2} \\right]$",
"role": "user"
}
] |
math
|
{
"ground_truth": "b \\in \\left[ 1-2\\sqrt{2}, 3 \\right]",
"style": "rule"
}
|
{
"index": 3529,
"need_tools_kwargs": true,
"question": "If the straight line $y=x+b$ intersects with the curve $({x-2})^{2}+({y-3})^{2}=4 (0 \\leqslant x \\leqslant 4, 1 \\leqslant y \\leqslant 3)$, then the range of the real number $b$ is ( ).\n\nA: $\\left[ 1-2\\sqrt{2},3 \\right]$\nB: $\\left[ 1-\\sqrt{2},3 \\right]$\nC: $\\left[ -1,1+2\\sqrt{2} \\right]$\nD: $\\left[ 1-2\\sqrt{2},1+2\\sqrt{2} \\right]$",
"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": "What kingdom was established after the battle that led to the separation of Dumnonia from Wales?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Hwicce",
"style": "rule"
}
|
{
"index": 3530,
"need_tools_kwargs": true,
"question": "What kingdom was established after the battle that led to the separation of Dumnonia from Wales?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 the original artist of the song covered in Glen Campbell's 1967 video?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Johnny Rivers",
"style": "rule"
}
|
{
"index": 3531,
"need_tools_kwargs": true,
"question": "Who was the original artist of the song covered in Glen Campbell's 1967 video?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 line $(m+4)x + (m+2)y + 4 = 0$ is parallel to the line $(m+2)x + (m+1)y - 1 = 0$, then the value of the real number $m$ is ( )\nA: 0\nB: 2\nC: -2\nD: 0 or -2",
"role": "user"
}
] |
math
|
{
"ground_truth": "A: 0",
"style": "rule"
}
|
{
"index": 3532,
"need_tools_kwargs": true,
"question": "If the line $(m+4)x + (m+2)y + 4 = 0$ is parallel to the line $(m+2)x + (m+1)y - 1 = 0$, then the value of the real number $m$ is ( )\nA: 0\nB: 2\nC: -2\nD: 0 or -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": "When is Karl Johann Von Königsmarck's father's birthday?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "24 March 1634",
"style": "rule"
}
|
{
"index": 3533,
"need_tools_kwargs": true,
"question": "When is Karl Johann Von Königsmarck's father's birthday?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "满足 $\\frac{1}{4}<\\sin \\frac{\\pi}{n}<\\frac{1}{3}$ 的所有正整数 $n$ 的和是 $\\qquad$..",
"role": "user"
}
] |
math
|
{
"ground_truth": "33",
"style": "rule"
}
|
{
"index": 3534,
"need_tools_kwargs": true,
"question": "满足 $\\frac{1}{4}<\\sin \\frac{\\pi}{n}<\\frac{1}{3}$ 的所有正整数 $n$ 的和是 $\\qquad$..",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "This man finished third in the 1951 Pau Grand Prix and also was the Italian champion in what years?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1937, 1938 and 1939",
"style": "rule"
}
|
{
"index": 3535,
"need_tools_kwargs": true,
"question": "This man finished third in the 1951 Pau Grand Prix and also was the Italian champion in what years?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 an odd function $f(x)$ defined on $(-1, 1)$, when $x \\in (0, 1)$, $f(x) = x^2 - 1$. If $f(x_0) = \\frac{1}{2}$, then $x_0 = \\_\\_\\_\\_\\_\\_$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "-\\frac{\\sqrt{2}}{2}",
"style": "rule"
}
|
{
"index": 3536,
"need_tools_kwargs": true,
"question": "Given an odd function $f(x)$ defined on $(-1, 1)$, when $x \\in (0, 1)$, $f(x) = x^2 - 1$. If $f(x_0) = \\frac{1}{2}$, then $x_0 = \\_\\_\\_\\_\\_\\_$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Consider two solid spherical balls, one centered at $\\left( 0, 0, \\frac{21}{2} \\right),$ with radius 6, and the other centered at $(0,0,1)$ with radius $\\frac{9}{2}.$ How many points $(x,y,z)$ with only integer coefficients are there in the intersection of the balls?",
"role": "user"
}
] |
math
|
{
"ground_truth": "13",
"style": "rule"
}
|
{
"index": 3537,
"need_tools_kwargs": true,
"question": "Consider two solid spherical balls, one centered at $\\left( 0, 0, \\frac{21}{2} \\right),$ with radius 6, and the other centered at $(0,0,1)$ with radius $\\frac{9}{2}.$ How many points $(x,y,z)$ with only integer coefficients are there in the intersection of the balls?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where was the clothing corporation at which Jim Brett has previously held position headquartered? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Philadelphia, Pennsylvania",
"style": "rule"
}
|
{
"index": 3538,
"need_tools_kwargs": true,
"question": "Where was the clothing corporation at which Jim Brett has previously held position headquartered? ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What was the full name of the author that memorialized Susan Bertie through her single volume of poems?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Emilia Lanier",
"style": "rule"
}
|
{
"index": 3539,
"need_tools_kwargs": true,
"question": "What was the full name of the author that memorialized Susan Bertie through her single volume of poems?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Lehqorbani-Ye Olya and Eshkali Zayer Hoseyn both located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 3540,
"need_tools_kwargs": true,
"question": "Are Lehqorbani-Ye Olya and Eshkali Zayer Hoseyn both located in the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which town is named after the developers of Monmouth Heights at Manalapan?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Levittown",
"style": "rule"
}
|
{
"index": 3541,
"need_tools_kwargs": true,
"question": "Which town is named after the developers of Monmouth Heights at Manalapan?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Young Sheldon, the tv series that follows the character Sheldon Cooper at the age of 9, is a spin-off from what prequel?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "\"The Big Bang Theory\"",
"style": "rule"
}
|
{
"index": 3542,
"need_tools_kwargs": true,
"question": "Young Sheldon, the tv series that follows the character Sheldon Cooper at the age of 9, is a spin-off from what prequel?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 real name of the character that Mark Rylance portrayed in \"Bridge of Spies\"?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Vilyam \"Willie\" Genrikhovich Fisher",
"style": "rule"
}
|
{
"index": 3543,
"need_tools_kwargs": true,
"question": "What is the real name of the character that Mark Rylance portrayed in \"Bridge of Spies\"?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 cells of a $20 \\times 20$ table are colored in $n$ colors such that for any cell, in the union of its row and column, cells of all $n$ colors are present. Find the greatest possible number of blue cells if:\n\n(a) $n=2$;\n\n(b) $n=10$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "220",
"style": "rule"
}
|
{
"index": 3544,
"need_tools_kwargs": true,
"question": "The cells of a $20 \\times 20$ table are colored in $n$ colors such that for any cell, in the union of its row and column, cells of all $n$ colors are present. Find the greatest possible number of blue cells if:\n\n(a) $n=2$;\n\n(b) $n=10$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In the diagram, point \\(E\\) lies on line segment \\(AB\\), and triangles \\(AED\\) and \\(BEC\\) are isosceles. Also, \\(\\angle DEC\\) is twice \\(\\angle ADE\\). What is the size of \\(\\angle EBC\\) ?\n(A) \\(75^\\circ\\)\n(B) \\(80^\\circ\\)\n(C) \\(60^\\circ\\)\n(D) \\(55^\\circ\\)\n(E) \\(45^\\circ\\)",
"role": "user"
}
] |
math
|
{
"ground_truth": "75^\\circ",
"style": "rule"
}
|
{
"index": 3545,
"need_tools_kwargs": true,
"question": "In the diagram, point \\(E\\) lies on line segment \\(AB\\), and triangles \\(AED\\) and \\(BEC\\) are isosceles. Also, \\(\\angle DEC\\) is twice \\(\\angle ADE\\). What is the size of \\(\\angle EBC\\) ?\n(A) \\(75^\\circ\\)\n(B) \\(80^\\circ\\)\n(C) \\(60^\\circ\\)\n(D) \\(55^\\circ\\)\n(E) \\(45^\\circ\\)",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $E$ and $F$ are a chord of the circle $C: x^{2}+y^{2}-2x-4y+1=0$, and $CE\\bot CF$, $P$ is the midpoint of $EF$. When the chord $EF$ moves on the circle $C$, there exist two points $A$ and $B$ on the line $l: x-y-3=0$ such that $∠APB≥\\frac{π}{2}$ always holds. Determine the minimum value of the length of segment $AB$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "4\\sqrt{2}",
"style": "rule"
}
|
{
"index": 3546,
"need_tools_kwargs": true,
"question": "Given that $E$ and $F$ are a chord of the circle $C: x^{2}+y^{2}-2x-4y+1=0$, and $CE\\bot CF$, $P$ is the midpoint of $EF$. When the chord $EF$ moves on the circle $C$, there exist two points $A$ and $B$ on the line $l: x-y-3=0$ such that $∠APB≥\\frac{π}{2}$ always holds. Determine the minimum value of the length of segment $AB$.",
"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": "已知平面直角坐标系中的点集L=\\{(x,y)\\ |\\ x,y\\in\\{1,2,\\cdots,100\\}\\}.设 A 是由平面上若干个凸多边形组成的集合，满足：A 中每个凸多边形的所有顶点均属于 L，并且 L 中的每个点都恰好是 A 中一个凸多边形的顶点.求 A 中所有凸多边形的面积之和的最小可能值.",
"role": "user"
}
] |
math
|
{
"ground_truth": "1667",
"style": "rule"
}
|
{
"index": 3547,
"need_tools_kwargs": true,
"question": "已知平面直角坐标系中的点集L=\\{(x,y)\\ |\\ x,y\\in\\{1,2,\\cdots,100\\}\\}.设 A 是由平面上若干个凸多边形组成的集合，满足：A 中每个凸多边形的所有顶点均属于 L，并且 L 中的每个点都恰好是 A 中一个凸多边形的顶点.求 A 中所有凸多边形的面积之和的最小可能值.",
"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 character in the thirteenth season on South Park has a name that is a play on the confection butterscotch?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Leopold \"Butters\" Stotch",
"style": "rule"
}
|
{
"index": 3548,
"need_tools_kwargs": true,
"question": "What character in the thirteenth season on South Park has a name that is a play on the confection butterscotch?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Are both directors of films Alice In Wondertown and New In Town from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 3549,
"need_tools_kwargs": true,
"question": "Are both directors of films Alice In Wondertown and New In Town 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": "若既约分数 $\\frac{p}{q}\\left(p 、 q \\in \\mathbf{Z}_{+}\\right)$ 化为小数是 $0.18 \\cdots$ ，则当 $q$ 最小时，求 $p$ 的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 3550,
"need_tools_kwargs": true,
"question": "若既约分数 $\\frac{p}{q}\\left(p 、 q \\in \\mathbf{Z}_{+}\\right)$ 化为小数是 $0.18 \\cdots$ ，则当 $q$ 最小时，求 $p$ 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": "The 2010 Kobalt Tools 500 was a NASCAR Sprint Cup Series race held at Atlanta Motor Speedway in Hampton, Georgia on March 7, 2010, during the race, Brad Keselowski and who collided, sending Keselowski airborne, subsequently crashing on his side door, who is the retired American professional stock car racing driver, born on August 15, 1979?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Carl Michael Edwards II",
"style": "rule"
}
|
{
"index": 3551,
"need_tools_kwargs": true,
"question": "The 2010 Kobalt Tools 500 was a NASCAR Sprint Cup Series race held at Atlanta Motor Speedway in Hampton, Georgia on March 7, 2010, during the race, Brad Keselowski and who collided, sending Keselowski airborne, subsequently crashing on his side door, who is the retired American professional stock car racing driver, born on August 15, 1979?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 2005 San Diego Toreros football team, represented the University of San Diego during the 2005 NCAA Division, in their second year under which head coach, they won the Pioneer Football League championship?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "James Joseph Harbaugh",
"style": "rule"
}
|
{
"index": 3552,
"need_tools_kwargs": true,
"question": "The 2005 San Diego Toreros football team, represented the University of San Diego during the 2005 NCAA Division, in their second year under which head coach, they won the Pioneer Football League championship?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 has more scope of profession, Kerry Parker or Gennaro Vitiello?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Gennaro Vitiello",
"style": "rule"
}
|
{
"index": 3553,
"need_tools_kwargs": true,
"question": "Who has more scope of profession, Kerry Parker or Gennaro Vitiello?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Were both Nikolai Baibakov and Babajide Collins Babatunde, born in the same place?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 3554,
"need_tools_kwargs": true,
"question": "Were both Nikolai Baibakov and Babajide Collins Babatunde, born in the same 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": "What is the founding year of this public research university in the Netherlands, where Jan Borgman was a professor from 1968 to 1988?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1614",
"style": "rule"
}
|
{
"index": 3555,
"need_tools_kwargs": true,
"question": "What is the founding year of this public research university in the Netherlands, where Jan Borgman was a professor from 1968 to 1988?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which film whose director is younger, Jail Bait (1954 Film) or Loafing And Camouflage?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Loafing And Camouflage",
"style": "rule"
}
|
{
"index": 3556,
"need_tools_kwargs": true,
"question": "Which film whose director is younger, Jail Bait (1954 Film) or Loafing And Camouflage?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 complex number $z = (x^2 - 1) + (x - 1)i$ is a pure imaginary number. Find the real number $x$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "-1",
"style": "rule"
}
|
{
"index": 3557,
"need_tools_kwargs": true,
"question": "The complex number $z = (x^2 - 1) + (x - 1)i$ is a pure imaginary number. Find the real number $x$.",
"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": "All natural numbers from 1 to 30 are written on identical cards and placed in an urn. After thoroughly mixing the cards, one card is drawn from the urn. What is the probability that the number on the drawn card is a multiple of 5?",
"role": "user"
}
] |
math
|
{
"ground_truth": "0.2",
"style": "rule"
}
|
{
"index": 3558,
"need_tools_kwargs": true,
"question": "All natural numbers from 1 to 30 are written on identical cards and placed in an urn. After thoroughly mixing the cards, one card is drawn from the urn. What is the probability that the number on the drawn card is a multiple of 5?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $S=\\{1, 2, 3, 4, 5, 6, 7, 8, 9\\}$, and let $A = \\{a_1, a_2, a_3\\}$ be a subset of $S$ such that $a_1 < a_2 < a_3$ and $a_3 - a_2 \\leq 6$. Determine the number of possible subsets $A$ that satisfy these conditions.",
"role": "user"
}
] |
math
|
{
"ground_truth": "83",
"style": "rule"
}
|
{
"index": 3559,
"need_tools_kwargs": true,
"question": "Let $S=\\{1, 2, 3, 4, 5, 6, 7, 8, 9\\}$, and let $A = \\{a_1, a_2, a_3\\}$ be a subset of $S$ such that $a_1 < a_2 < a_3$ and $a_3 - a_2 \\leq 6$. Determine the number of possible subsets $A$ that satisfy these conditions.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who was the first African American woman to patent a web-based EEO software (Nalikah, formerly known as LinkLine)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Janet Emerson Bashen",
"style": "rule"
}
|
{
"index": 3560,
"need_tools_kwargs": true,
"question": "Who was the first African American woman to patent a web-based EEO software (Nalikah, formerly known as LinkLine)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "During the weekends, Eli delivers milk in the complex plane. On Saturday, he begins at $z$ and delivers milk to houses located at $z^3,z^5,z^7,\\ldots,z^{2013}$ in that order; on Sunday, he begins at $1$ and delivers milk to houses located at $z^2,z^4,z^6,\\ldots,z^{2012}$ in that order. Eli always walks directly (in a straight line) between two houses. If the distance he must travel from his starting point to the last house is $\\sqrt{2012}$ on both days, find the real part of $z^2$. The original answer is in \\frac{k}{m} format, please give the value of k + m.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2011",
"style": "rule"
}
|
{
"index": 3561,
"need_tools_kwargs": true,
"question": "During the weekends, Eli delivers milk in the complex plane. On Saturday, he begins at $z$ and delivers milk to houses located at $z^3,z^5,z^7,\\ldots,z^{2013}$ in that order; on Sunday, he begins at $1$ and delivers milk to houses located at $z^2,z^4,z^6,\\ldots,z^{2012}$ in that order. Eli always walks directly (in a straight line) between two houses. If the distance he must travel from his starting point to the last house is $\\sqrt{2012}$ on both days, find the real part of $z^2$. The original answer is in \\frac{k}{m} format, please give the value of k + m.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When did the Dutch rapper of Moroccan descent who returned as a coach in The Voice of Holland born? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "16 October 1981",
"style": "rule"
}
|
{
"index": 3562,
"need_tools_kwargs": true,
"question": "When did the Dutch rapper of Moroccan descent who returned as a coach in The Voice of Holland born? ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given that the function \\(f(x)\\) is differentiable at \\(x_0\\), the limit $$\\lim_{\\Delta x \\to 0} \\frac{f(x_0 - \\Delta x) - f(x_0)}{\\Delta x}$$ equals ( )\nA: \\(f'(x_0)\\) \nB: \\(f'(-x_0)\\) \nC: \\(-f'(x_0)\\) \nD: \\(-f(-x_0)\\)",
"role": "user"
}
] |
math
|
{
"ground_truth": "-f'(x_0)",
"style": "rule"
}
|
{
"index": 3563,
"need_tools_kwargs": true,
"question": "Given that the function \\(f(x)\\) is differentiable at \\(x_0\\), the limit $$\\lim_{\\Delta x \\to 0} \\frac{f(x_0 - \\Delta x) - f(x_0)}{\\Delta x}$$ equals ( )\nA: \\(f'(x_0)\\) \nB: \\(f'(-x_0)\\) \nC: \\(-f'(x_0)\\) \nD: \\(-f(-x_0)\\)",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "At the beginning of the year, the price of a stock was $S_0$. It decreased by 15% in January, increased by 10% in February, rose by 30% in March, fell by 20% in April, and finally decreased by $y\\%$ in May. After these changes, the price of the stock at the end of May was the same as it was at the beginning of January. Determine the percentage decrease $y$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 3564,
"need_tools_kwargs": true,
"question": "At the beginning of the year, the price of a stock was $S_0$. It decreased by 15% in January, increased by 10% in February, rose by 30% in March, fell by 20% in April, and finally decreased by $y\\%$ in May. After these changes, the price of the stock at the end of May was the same as it was at the beginning of January. Determine the percentage decrease $y$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the place of birth of Irina Pozdnyakova's husband?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Leningrad",
"style": "rule"
}
|
{
"index": 3565,
"need_tools_kwargs": true,
"question": "What is the place of birth of Irina Pozdnyakova's husband?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $f(x)$ be a polynomial such that\n\\[f(x^2 + 1) = x^4 + 6x^2 + 2.\\]Find $f(x^2 - 3).$",
"role": "user"
}
] |
math
|
{
"ground_truth": "x^4 - 2x^2 - 7",
"style": "rule"
}
|
{
"index": 3566,
"need_tools_kwargs": true,
"question": "Let $f(x)$ be a polynomial such that\n\\[f(x^2 + 1) = x^4 + 6x^2 + 2.\\]Find $f(x^2 - 3).$",
"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": "What is the editorial stance of the newspaper that featured Paul Rimstead as a page 5 columnist?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "populist conservative",
"style": "rule"
}
|
{
"index": 3567,
"need_tools_kwargs": true,
"question": "What is the editorial stance of the newspaper that featured Paul Rimstead as a page 5 columnist?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 rearrangements of the nine letters $\\text{AAABBBCCC}$ where no three consecutive letters are the same. For example, count $\\text{AABBCCABC}$ and $\\text{ACABBCCAB}$ but not $\\text{ABABCCCBA}.$",
"role": "user"
}
] |
math
|
{
"ground_truth": "1314",
"style": "rule"
}
|
{
"index": 3568,
"need_tools_kwargs": true,
"question": "Find the number of rearrangements of the nine letters $\\text{AAABBBCCC}$ where no three consecutive letters are the same. For example, count $\\text{AABBCCABC}$ and $\\text{ACABBCCAB}$ but not $\\text{ABABCCCBA}.$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $m$, $n$, $a$, and $k$ be positive integers with $k > 1$ such that the equation \\(5^m + 63n + 49 = a^k\\) holds. Find the minimum value of $k$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
|
{
"index": 3569,
"need_tools_kwargs": true,
"question": "Let $m$, $n$, $a$, and $k$ be positive integers with $k > 1$ such that the equation \\(5^m + 63n + 49 = a^k\\) holds. Find the minimum value of $k$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "By 1938, Harry McEvoy had established a large factory in Greater Manchester, what is the population of that city?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "37,500",
"style": "rule"
}
|
{
"index": 3570,
"need_tools_kwargs": true,
"question": "By 1938, Harry McEvoy had established a large factory in Greater Manchester, what is the population of that 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": "A strip of cells $1 \\times N$ is given. Two players play the following game. On their turn, the first player places an \"X\" in one of the free cells, and the second player places an \"O\". It is not allowed to place two \"X\"s or two \"O\"s in adjacent cells. The player who cannot make a move loses.\n\nWhich player can always win, regardless of the opponent's moves?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"index": 3571,
"need_tools_kwargs": true,
"question": "A strip of cells $1 \\times N$ is given. Two players play the following game. On their turn, the first player places an \"X\" in one of the free cells, and the second player places an \"O\". It is not allowed to place two \"X\"s or two \"O\"s in adjacent cells. The player who cannot make a move loses.\n\nWhich player can always win, regardless of the opponent's moves?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 song, inspired by a high school student who shot himself in front of his English class, also appears with Yellow Ledbetter?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Jeremy",
"style": "rule"
}
|
{
"index": 3572,
"need_tools_kwargs": true,
"question": "Which song, inspired by a high school student who shot himself in front of his English class, also appears with Yellow Ledbetter?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "\"Goodnight Kisses\" is a song by an American R&B singer born when?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "January 29, 1953",
"style": "rule"
}
|
{
"index": 3573,
"need_tools_kwargs": true,
"question": "\"Goodnight Kisses\" is a song by an American R&B singer born when?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Subtracting a certain percentage of a from a is equivalent to multiplying a by 0.97. What is the percentage subtracted from a?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3\\%",
"style": "rule"
}
|
{
"index": 3574,
"need_tools_kwargs": true,
"question": "Subtracting a certain percentage of a from a is equivalent to multiplying a by 0.97. What is the percentage subtracted from a?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Two trains start at the same time from two stations and proceed towards each other at the rate of 20 km/hr and another speed respectively. When they meet, it is found that one train has traveled 70 km more than the other. The distance between the two stations is 630 km. What is the speed of the second train?",
"role": "user"
}
] |
math
|
{
"ground_truth": "16",
"style": "rule"
}
|
{
"index": 3575,
"need_tools_kwargs": true,
"question": "Two trains start at the same time from two stations and proceed towards each other at the rate of 20 km/hr and another speed respectively. When they meet, it is found that one train has traveled 70 km more than the other. The distance between the two stations is 630 km. What is the speed of the second train?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 real name of the actor who starred in State Property and was born on March 6, 1974?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Dwight Equan Grant",
"style": "rule"
}
|
{
"index": 3576,
"need_tools_kwargs": true,
"question": "What is the real name of the actor who starred in State Property and was born on March 6, 1974?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 lived in the Moor Park mansion after their annulment? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Catherine of Aragon",
"style": "rule"
}
|
{
"index": 3577,
"need_tools_kwargs": true,
"question": "Who lived in the Moor Park mansion after their annulment? ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In the tetrahedron \\(ABCD\\), the ratios of the lengths are:\n\\[ BD : CD : AB : AC : AD : BC = \\sqrt{3} : \\sqrt{2} : 1 : 1 : 1 : 1 \\]\n\nFind the angle between \\(AD\\) and \\(BC\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "60^\\circ",
"style": "rule"
}
|
{
"index": 3578,
"need_tools_kwargs": true,
"question": "In the tetrahedron \\(ABCD\\), the ratios of the lengths are:\n\\[ BD : CD : AB : AC : AD : BC = \\sqrt{3} : \\sqrt{2} : 1 : 1 : 1 : 1 \\]\n\nFind the angle between \\(AD\\) 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": "What actor appeared in both We'll Think of Something and Porridge?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Sam Kelly",
"style": "rule"
}
|
{
"index": 3579,
"need_tools_kwargs": true,
"question": "What actor appeared in both We'll Think of Something and Porridge?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Allen & Company Sun Valley Conference previous guest was born on August 15, 1964 ?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Melinda Gates",
"style": "rule"
}
|
{
"index": 3580,
"need_tools_kwargs": true,
"question": "Which Allen & Company Sun Valley Conference previous guest was born on August 15, 1964 ?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 group Suzie McNeil performed alongside at the halftime show during the 96th Grey Cup from?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Delta, British Columbia",
"style": "rule"
}
|
{
"index": 3581,
"need_tools_kwargs": true,
"question": "Where is the group Suzie McNeil performed alongside at the halftime show during the 96th Grey Cup 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": "Advertising executive, Jay Schulberg is responsible for creating the ad campaign for what American multinational financial services corporation headquartered in Three World Financial Center in New York City?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American Express Company",
"style": "rule"
}
|
{
"index": 3582,
"need_tools_kwargs": true,
"question": "Advertising executive, Jay Schulberg is responsible for creating the ad campaign for what American multinational financial services corporation headquartered in Three World Financial Center in New York 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 altitudes of an acute-angled triangle \\( ABC \\) drawn from vertices \\( B \\) and \\( C \\) are 7 and 9, respectively, and the median \\( AM \\) is 8. Points \\( P \\) and \\( Q \\) are symmetric to point \\( M \\) with respect to sides \\( AC \\) and \\( AB \\), respectively. Find the perimeter of the quadrilateral \\( APMQ \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "32",
"style": "rule"
}
|
{
"index": 3583,
"need_tools_kwargs": true,
"question": "The altitudes of an acute-angled triangle \\( ABC \\) drawn from vertices \\( B \\) and \\( C \\) are 7 and 9, respectively, and the median \\( AM \\) is 8. Points \\( P \\) and \\( Q \\) are symmetric to point \\( M \\) with respect to sides \\( AC \\) and \\( AB \\), respectively. Find the perimeter of the quadrilateral \\( APMQ \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": " Liezel Huber and Arantxa Sánchez Vicario, are both six time Grand Slam title winners of what sport?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "professional tennis player.",
"style": "rule"
}
|
{
"index": 3584,
"need_tools_kwargs": true,
"question": " Liezel Huber and Arantxa Sánchez Vicario, are both six time Grand Slam title winners of 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": "Where was the place of death of the director of film The Two Orphans (1965 Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Rome",
"style": "rule"
}
|
{
"index": 3585,
"need_tools_kwargs": true,
"question": "Where was the place of death of the director of film The Two Orphans (1965 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": "Are the directors of both films Megher Pore Megh and The Love-Ins from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 3586,
"need_tools_kwargs": true,
"question": "Are the directors of both films Megher Pore Megh and The Love-Ins 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": "Let three circles \\(\\Gamma_{1}, \\Gamma_{2}, \\Gamma_{3}\\) with centers \\(A_{1}, A_{2}, A_{3}\\) and radii \\(r_{1}, r_{2}, r_{3}\\) respectively be mutually tangent to each other externally. Suppose that the tangent to the circumcircle of the triangle \\(A_{1} A_{2} A_{3}\\) at \\(A_{3}\\) and the two external common tangents of \\(\\Gamma_{1}\\) and \\(\\Gamma_{2}\\) meet at a common point \\(P\\). Given that \\(r_{1}=18 \\mathrm{~cm}, r_{2}=8 \\mathrm{~cm}\\) and \\(r_{3}=k \\mathrm{~cm}\\), find the value of \\(k\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "12",
"style": "rule"
}
|
{
"index": 3587,
"need_tools_kwargs": true,
"question": "Let three circles \\(\\Gamma_{1}, \\Gamma_{2}, \\Gamma_{3}\\) with centers \\(A_{1}, A_{2}, A_{3}\\) and radii \\(r_{1}, r_{2}, r_{3}\\) respectively be mutually tangent to each other externally. Suppose that the tangent to the circumcircle of the triangle \\(A_{1} A_{2} A_{3}\\) at \\(A_{3}\\) and the two external common tangents of \\(\\Gamma_{1}\\) and \\(\\Gamma_{2}\\) meet at a common point \\(P\\). Given that \\(r_{1}=18 \\mathrm{~cm}, r_{2}=8 \\mathrm{~cm}\\) and \\(r_{3}=k \\mathrm{~cm}\\), find the value of \\(k\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What country of origin does Robert Langdon and Inferno have in common?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American",
"style": "rule"
}
|
{
"index": 3588,
"need_tools_kwargs": true,
"question": "What country of origin does Robert Langdon and Inferno have in common?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the largest $n$ such that a square cannot be partitioned into $n$ smaller, non-overlapping squares?",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
|
{
"index": 3589,
"need_tools_kwargs": true,
"question": "What is the largest $n$ such that a square cannot be partitioned into $n$ smaller, non-overlapping squares?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 40-liter solution of alcohol and water has a certain percentage of alcohol. If 6.5 liters of alcohol and 3.5 liters of water are added to this solution, the solution produced is 17 percent alcohol. What is the initial percentage of alcohol in the solution?",
"role": "user"
}
] |
math
|
{
"ground_truth": "5\\%",
"style": "rule"
}
|
{
"index": 3590,
"need_tools_kwargs": true,
"question": "A 40-liter solution of alcohol and water has a certain percentage of alcohol. If 6.5 liters of alcohol and 3.5 liters of water are added to this solution, the solution produced is 17 percent alcohol. What is the initial percentage of alcohol in the solution?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A sequence \\( s_{0}, s_{1}, s_{2}, s_{3}, \\ldots \\) is defined by \\( s_{0}=s_{1}=1 \\) and, for every positive integer \\( n \\), \\( s_{2n}=s_{n} \\), \\( s_{4n+1}=s_{2n+1} \\), and \\( s_{4n-1}=s_{2n-1} + \\frac{s_{2n-1}^2}{s_{n-1}} \\). What is the value of \\( s_{1000} \\)?",
"role": "user"
}
] |
math
|
{
"ground_truth": "720",
"style": "rule"
}
|
{
"index": 3591,
"need_tools_kwargs": true,
"question": "A sequence \\( s_{0}, s_{1}, s_{2}, s_{3}, \\ldots \\) is defined by \\( s_{0}=s_{1}=1 \\) and, for every positive integer \\( n \\), \\( s_{2n}=s_{n} \\), \\( s_{4n+1}=s_{2n+1} \\), and \\( s_{4n-1}=s_{2n-1} + \\frac{s_{2n-1}^2}{s_{n-1}} \\). What is the value of \\( s_{1000} \\)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Do both films Where Are You? I'M Here and 11 Flowers have the directors from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 3592,
"need_tools_kwargs": true,
"question": "Do both films Where Are You? I'M Here and 11 Flowers have the directors 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": "Do both Outcast of the Islands and Massacre at Marble City films have the directors from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 3593,
"need_tools_kwargs": true,
"question": "Do both Outcast of the Islands and Massacre at Marble City films have the directors 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": "Determine the number of all non-empty proper subsets of the set \\( M = \\left\\{ x \\mid 5 - |2x - 3| \\in \\mathbf{N}^{*} \\right\\} \\), where \\(\\mathbf{N}^{*}\\) represents the set of positive natural numbers.",
"role": "user"
}
] |
math
|
{
"ground_truth": "510",
"style": "rule"
}
|
{
"index": 3594,
"need_tools_kwargs": true,
"question": "Determine the number of all non-empty proper subsets of the set \\( M = \\left\\{ x \\mid 5 - |2x - 3| \\in \\mathbf{N}^{*} \\right\\} \\), where \\(\\mathbf{N}^{*}\\) represents the set of positive natural numbers.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A coin is tossed 10 times. What is the probability that heads will come up exactly three times?",
"role": "user"
}
] |
math
|
{
"ground_truth": "0.1171875",
"style": "rule"
}
|
{
"index": 3595,
"need_tools_kwargs": true,
"question": "A coin is tossed 10 times. What is the probability that heads will come up exactly three times?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "After observing the increase in solar activity as reported by 'FOX News - Lifestyle' on October 8, 2023, did the discoveries about the sun reported by 'Live Science: The Most Interesting Articles' on December 24, 2023, show an agreement or disagreement with the earlier observations of sunspots and solar activity?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Agreement",
"style": "rule"
}
|
{
"index": 3596,
"need_tools_kwargs": true,
"question": "After observing the increase in solar activity as reported by 'FOX News - Lifestyle' on October 8, 2023, did the discoveries about the sun reported by 'Live Science: The Most Interesting Articles' on December 24, 2023, show an agreement or disagreement with the earlier observations of sunspots and solar activity?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 domino is a rectangular tile composed of two squares. Each square has an integer from 0-12, and each integer from 0-12 is paired with every integer from 0-12 exactly once in a complete set. A $\\textit{double}$ is a domino that has the same integer on both squares. What is the probability that a domino randomly selected from this set will be a $\\textit{double}$? Express your answer as a common fraction.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{13}{91}",
"style": "rule"
}
|
{
"index": 3597,
"need_tools_kwargs": true,
"question": "A domino is a rectangular tile composed of two squares. Each square has an integer from 0-12, and each integer from 0-12 is paired with every integer from 0-12 exactly once in a complete set. A $\\textit{double}$ is a domino that has the same integer on both squares. What is the probability that a domino randomly selected from this set will be a $\\textit{double}$? Express your answer as a common fraction.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "If $a > 1$, and $b$ is a positive rational number, and $a^{b} + a^{-b} = 2 \\sqrt{2}$, then what is $a^{b} - a^{-b}$ equal to?\n\n(A) $\\sqrt{6}$.\n\n(B) 2 or -2.\n\n(C) -2.\n\n(D) 2.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 3598,
"need_tools_kwargs": true,
"question": "If $a > 1$, and $b$ is a positive rational number, and $a^{b} + a^{-b} = 2 \\sqrt{2}$, then what is $a^{b} - a^{-b}$ equal to?\n\n(A) $\\sqrt{6}$.\n\n(B) 2 or -2.\n\n(C) -2.\n\n(D) 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": "A square is inscribed inside a circle of radius $r$, and then a circle is inscribed inside that square, followed by a square inscribed in that circle, and so on, indefinitely. If $A_n$ represents the sum of the areas of the first $n$ squares so inscribed, determine the value $A_n$ approaches as $n$ becomes very large.\nA. $2r^2$\nB. $3r^2$\nC. $4r^2$\nD. $5r^2$\nE. $6r^2$",
"role": "user"
}
] |
math
|
{
"ground_truth": "C. 4r^2",
"style": "rule"
}
|
{
"index": 3599,
"need_tools_kwargs": true,
"question": "A square is inscribed inside a circle of radius $r$, and then a circle is inscribed inside that square, followed by a square inscribed in that circle, and so on, indefinitely. If $A_n$ represents the sum of the areas of the first $n$ squares so inscribed, determine the value $A_n$ approaches as $n$ becomes very large.\nA. $2r^2$\nB. $3r^2$\nC. $4r^2$\nD. $5r^2$\nE. $6r^2$",
"split": "train"
}
| null |
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