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": "What is the date of birth of the director of film Martín (Hache)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "October 19, 1943",
"style": "rule"
}
|
{
"index": 800,
"need_tools_kwargs": true,
"question": "What is the date of birth of the director of film Martín (Hache)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What nationality is the director of film Soulboy (Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Irish",
"style": "rule"
}
|
{
"index": 801,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Soulboy (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": "Suppose the point $(1,2)$ is on the graph of $y=\\frac{f(x)}2$. Then there is one point which must be on the graph of $y=\\frac{f^{-1}(x)}{2}$. What is the sum of that point's coordinates?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac 92",
"style": "rule"
}
|
{
"index": 802,
"need_tools_kwargs": true,
"question": "Suppose the point $(1,2)$ is on the graph of $y=\\frac{f(x)}2$. Then there is one point which must be on the graph of $y=\\frac{f^{-1}(x)}{2}$. What is the sum of that point's coordinates?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Absent-Minded Scientist commutes to work on weekdays using the Ring Line of the Moscow Metro from \"Taganskaya\" station to \"Kievskaya\" station, and back in the evening. When he enters the station, he boards the first arriving train. It is known that in both directions, trains run at approximately equal intervals. The train traveling via the northern route (through \"Belorusskaya\") takes 17 minutes to go from \"Kievskaya\" to \"Taganskaya\" or vice versa, while the train traveling via the southern route (through \"Paveletskaya\") takes 11 minutes.\n\nAccording to his long-term observations, the train traveling counterclockwise arrives at \"Kievskaya\" on average 1 minute and 15 seconds after the clockwise train arrives. The same is true for \"Taganskaya.\" Moreover, the scientist notes that his average travel time from home to work is 1 minute less than his average travel time from work to home. Find the expected interval between trains traveling in one direction.",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 803,
"need_tools_kwargs": true,
"question": "The Absent-Minded Scientist commutes to work on weekdays using the Ring Line of the Moscow Metro from \"Taganskaya\" station to \"Kievskaya\" station, and back in the evening. When he enters the station, he boards the first arriving train. It is known that in both directions, trains run at approximately equal intervals. The train traveling via the northern route (through \"Belorusskaya\") takes 17 minutes to go from \"Kievskaya\" to \"Taganskaya\" or vice versa, while the train traveling via the southern route (through \"Paveletskaya\") takes 11 minutes.\n\nAccording to his long-term observations, the train traveling counterclockwise arrives at \"Kievskaya\" on average 1 minute and 15 seconds after the clockwise train arrives. The same is true for \"Taganskaya.\" Moreover, the scientist notes that his average travel time from home to work is 1 minute less than his average travel time from work to home. Find the expected interval between trains traveling in one direction.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Patio blocks that are hexagons $1$ unit on a side are used to outline a garden by placing the blocks edge to edge with $n$ on each side. The diagram indicates the path of blocks around the garden when $n=5$. \nIf $n=202$, then the area of the garden enclosed by the path, not including the path itself, is $m\\left(\\sqrt{3}/2\\right)$ square units, where $m$ is a positive integer. Find the remainder when $m$ is divided by $1000$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "803",
"style": "rule"
}
|
{
"index": 804,
"need_tools_kwargs": true,
"question": "Patio blocks that are hexagons $1$ unit on a side are used to outline a garden by placing the blocks edge to edge with $n$ on each side. The diagram indicates the path of blocks around the garden when $n=5$. \nIf $n=202$, then the area of the garden enclosed by the path, not including the path itself, is $m\\left(\\sqrt{3}/2\\right)$ square units, where $m$ is a positive integer. Find the remainder when $m$ is divided by $1000$.",
"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": "How many four-digit numbers can be formed using three 1s, two 2s, and five 3s?",
"role": "user"
}
] |
math
|
{
"ground_truth": "71",
"style": "rule"
}
|
{
"index": 805,
"need_tools_kwargs": true,
"question": "How many four-digit numbers can be formed using three 1s, two 2s, and five 3s?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 sum of the values of $x$ for which $\\binom{x}{0}-\\binom{x}{1}+\\binom{x}{2}-...+\\binom{x}{2008}=0$",
"role": "user"
}
] |
math
|
{
"ground_truth": "2017036",
"style": "rule"
}
|
{
"index": 806,
"need_tools_kwargs": true,
"question": "Find the sum of the values of $x$ for which $\\binom{x}{0}-\\binom{x}{1}+\\binom{x}{2}-...+\\binom{x}{2008}=0$",
"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": "We divide the entire set of integers $\\mathbb{Z}$ into $n$ subsets such that the difference between any two elements in a subset is not a prime number. What is the minimum value of $n$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"index": 807,
"need_tools_kwargs": true,
"question": "We divide the entire set of integers $\\mathbb{Z}$ into $n$ subsets such that the difference between any two elements in a subset is not a prime number. What is the minimum value of $n$?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who was responsible for putting the band, Missing Man Formation, together after leaving an American rock band that had been formed in Palo Alto, California?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Vince Welnick",
"style": "rule"
}
|
{
"index": 808,
"need_tools_kwargs": true,
"question": "Who was responsible for putting the band, Missing Man Formation, together after leaving an American rock band that had been formed in Palo Alto, California?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 cube with side length 10 is suspended above a plane. The vertex closest to the plane is labeled $A$. The three vertices adjacent to vertex $A$ are at heights 10, 11, and 12 above the plane. The distance from vertex $A$ to the plane can be expressed as $ \\frac{r-\\sqrt{s}}{t}$, where $r$, $s$, and $t$ are positive integers, and $r+s+t<{1000}$. Find $r+s+t.$",
"role": "user"
}
] |
math
|
{
"ground_truth": "330",
"style": "rule"
}
|
{
"index": 809,
"need_tools_kwargs": true,
"question": "A cube with side length 10 is suspended above a plane. The vertex closest to the plane is labeled $A$. The three vertices adjacent to vertex $A$ are at heights 10, 11, and 12 above the plane. The distance from vertex $A$ to the plane can be expressed as $ \\frac{r-\\sqrt{s}}{t}$, where $r$, $s$, and $t$ are positive integers, and $r+s+t<{1000}$. Find $r+s+t.$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which film has the director who died later, The Peaceful Age or The Final Hour (Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "The Peaceful Age",
"style": "rule"
}
|
{
"index": 810,
"need_tools_kwargs": true,
"question": "Which film has the director who died later, The Peaceful Age or The Final Hour (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": "What is the date of death of Widukind Lenz's father?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "6 July 1976",
"style": "rule"
}
|
{
"index": 811,
"need_tools_kwargs": true,
"question": "What is the date of death of Widukind Lenz's father?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When did the director of film The Harvest Month die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "13 December 2018",
"style": "rule"
}
|
{
"index": 812,
"need_tools_kwargs": true,
"question": "When did the director of film The Harvest Month die?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What Washington county did Alexander Vasilyevich Belyakov land in at the end of the first non-stop flight across the North Pole?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Clark County",
"style": "rule"
}
|
{
"index": 813,
"need_tools_kwargs": true,
"question": "What Washington county did Alexander Vasilyevich Belyakov land in at the end of the first non-stop flight across the North Pole?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "For which team does the player who performs rap parts on the single We are Ajax play ? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Beşiktaş",
"style": "rule"
}
|
{
"index": 814,
"need_tools_kwargs": true,
"question": "For which team does the player who performs rap parts on the single We are Ajax play ? ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 area enclosed by the curve determined by the equation \\( |x-1| + |y-1| = 1 \\) is\n(A) 1\n(B) 2\n(C) \\(\\pi\\)\n(D) 4",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 815,
"need_tools_kwargs": true,
"question": "The area enclosed by the curve determined by the equation \\( |x-1| + |y-1| = 1 \\) is\n(A) 1\n(B) 2\n(C) \\(\\pi\\)\n(D) 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": "Where was Temple's selection to the All-Championship team in the 2000 Atlantic 10 Men's Basketball Tournament born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Argentina",
"style": "rule"
}
|
{
"index": 816,
"need_tools_kwargs": true,
"question": "Where was Temple's selection to the All-Championship team in the 2000 Atlantic 10 Men's Basketball Tournament born?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which film has the director who is older than the other, Anji (Film) or Las Tecnologías Pesqueras? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Las Tecnologías Pesqueras",
"style": "rule"
}
|
{
"index": 817,
"need_tools_kwargs": true,
"question": "Which film has the director who is older than the other, Anji (Film) or Las Tecnologías Pesqueras? ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 cone is formed from a 300-degree sector of a circle of radius 18 by aligning the two straight sides. [asy]\nsize(110);\ndraw(Arc((0,0),1,0,300));\ndraw((1,0)--(0,0)--(.5,-.5*sqrt(3)));\nlabel(\"18\",(.5,0),S); label(\"$300^\\circ$\",(0,0),NW);\n[/asy] What is the result when the volume of the cone is divided by $\\pi$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "746.24",
"style": "rule"
}
|
{
"index": 818,
"need_tools_kwargs": true,
"question": "A cone is formed from a 300-degree sector of a circle of radius 18 by aligning the two straight sides. [asy]\nsize(110);\ndraw(Arc((0,0),1,0,300));\ndraw((1,0)--(0,0)--(.5,-.5*sqrt(3)));\nlabel(\"18\",(.5,0),S); label(\"$300^\\circ$\",(0,0),NW);\n[/asy] What is the result when the volume of the cone is divided by $\\pi$?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given the universal set $U=\\mathbb{R}$, and the sets $A=(-\\infty, 0)$, $B=\\{-1, -3, a\\}$. If $(\\complement_U A) \\cap B \\neq \\emptyset$, then the range of the real number $a$ is ______.",
"role": "user"
}
] |
math
|
{
"ground_truth": "a\\geq 0",
"style": "rule"
}
|
{
"index": 819,
"need_tools_kwargs": true,
"question": "Given the universal set $U=\\mathbb{R}$, and the sets $A=(-\\infty, 0)$, $B=\\{-1, -3, a\\}$. If $(\\complement_U A) \\cap B \\neq \\emptyset$, then the range of the real number $a$ is ______.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Are both director of film Chhatrapati (film) and director of film Sethubandhanam (film) from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 820,
"need_tools_kwargs": true,
"question": "Are both director of film Chhatrapati (film) and director of film Sethubandhanam (film) from the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When did the composer of song I'M Crazy Over Every Girl In France die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "April 7, 1974",
"style": "rule"
}
|
{
"index": 821,
"need_tools_kwargs": true,
"question": "When did the composer of song I'M Crazy Over Every Girl In France 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": "If the equation \\(\\sqrt{a x^{2}+a x+2}=a x+2\\) has exactly one real root, what is the range of values for the real number \\(a\\)?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\{ -8 \\} \\cup [1, +\\infty)",
"style": "rule"
}
|
{
"index": 822,
"need_tools_kwargs": true,
"question": "If the equation \\(\\sqrt{a x^{2}+a x+2}=a x+2\\) has exactly one real root, what is the range of values for the real number \\(a\\)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "对于任意的正整数 $n$, 用 $a_{n}$ 表示三边长均为整数且最长边的长为 $2 n$ 的三角形的个数。 \n设数列 $\\left\\{b_{n}\\right\\}$ 满足 \n$$ \n\\sum_{k=1}^{n}(-1)^{n-k} \\mathrm{C}_{n}^{k} b_{k}=a_{n}\\left(n \\in \\mathbf{Z}_{+}\\right), \n$$ \n求使 $b_{n} \\leqslant 2019 a_{n}$ 成立的正整数 $n$ 的个数，并给出该整数。",
"role": "user"
}
] |
math
|
{
"ground_truth": "12",
"style": "rule"
}
|
{
"index": 823,
"need_tools_kwargs": true,
"question": "对于任意的正整数 $n$, 用 $a_{n}$ 表示三边长均为整数且最长边的长为 $2 n$ 的三角形的个数。 \n设数列 $\\left\\{b_{n}\\right\\}$ 满足 \n$$ \n\\sum_{k=1}^{n}(-1)^{n-k} \\mathrm{C}_{n}^{k} b_{k}=a_{n}\\left(n \\in \\mathbf{Z}_{+}\\right), \n$$ \n求使 $b_{n} \\leqslant 2019 a_{n}$ 成立的正整数 $n$ 的个数，并给出该整数。",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of birth of the composer of film Jaitra Yatra?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "4 June 1946",
"style": "rule"
}
|
{
"index": 824,
"need_tools_kwargs": true,
"question": "What is the date of birth of the composer of film Jaitra Yatra?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Do both directors of films Jettchen Gebert'S Story and The Three Sisters (1966 Film) share the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 825,
"need_tools_kwargs": true,
"question": "Do both directors of films Jettchen Gebert'S Story and The Three Sisters (1966 Film) 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": "About the equation \\(2007 x^{3} + 2006 x^{2} + 2005 x = 0\\), it is correct to state that:\n(a) it has no roots;\n(b) it has three distinct real roots;\n(c) it has two equal roots;\n(d) it has only one real root;\n(e) it has three positive roots.",
"role": "user"
}
] |
math
|
{
"ground_truth": "d",
"style": "rule"
}
|
{
"index": 826,
"need_tools_kwargs": true,
"question": "About the equation \\(2007 x^{3} + 2006 x^{2} + 2005 x = 0\\), it is correct to state that:\n(a) it has no roots;\n(b) it has three distinct real roots;\n(c) it has two equal roots;\n(d) it has only one real root;\n(e) it has three positive roots.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 2010 population of the city where Cameron was manufactured? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "39,502",
"style": "rule"
}
|
{
"index": 827,
"need_tools_kwargs": true,
"question": "What is the 2010 population of the city where Cameron was manufactured? ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 famous theorem states that given any five points in the plane, with no three on the same line, there is a unique conic section (ellipse, hyperbola, or parabola) which passes through all five points. The conic section passing through the five points \\[(-\\tfrac32, 1), \\; (0,0), \\;(0,2),\\; (3,0),\\; (3,2).\\]is an ellipse whose axes are parallel to the coordinate axes. Find the length of its minor axis.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2.3094",
"style": "rule"
}
|
{
"index": 828,
"need_tools_kwargs": true,
"question": "A famous theorem states that given any five points in the plane, with no three on the same line, there is a unique conic section (ellipse, hyperbola, or parabola) which passes through all five points. The conic section passing through the five points \\[(-\\tfrac32, 1), \\; (0,0), \\;(0,2),\\; (3,0),\\; (3,2).\\]is an ellipse whose axes are parallel to the coordinate axes. Find the length of its minor axis.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When was the sovereign duke of the Duchy of Saxe-Coburg and Gotha diedto whom Symphony No. 2 in C major, Op. 140 dedicated to?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "22 August 1893",
"style": "rule"
}
|
{
"index": 829,
"need_tools_kwargs": true,
"question": "When was the sovereign duke of the Duchy of Saxe-Coburg and Gotha diedto whom Symphony No. 2 in C major, Op. 140 dedicated to?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 football tournament, teams $A, B, C, D, E$ participated. Each team played against each other exactly once. In each game, 3 points were awarded for a win, 1 point for a draw, and 0 points for a loss.\n\nIt is known that at the end of the tournament:\n\n- All teams scored a different number of points.\n- Team $A$ scored the most points, although it lost to team $B$.\n- Teams $B$ and $C$ did not lose any games.\n- Team $C$ scored fewer points than team $D$.\n\nHow many points did each team score?\n\nTeam $A$ scored:\n\nTeam $B$ scored:\n\nTeam $C$ scored:\n\nTeam $D$ scored:\n\nTeam $E$ scored:",
"role": "user"
}
] |
math
|
{
"ground_truth": "A=7,\\ B=6,\\ C=4,\\ D=5,\\ E=2",
"style": "rule"
}
|
{
"index": 830,
"need_tools_kwargs": true,
"question": "In a football tournament, teams $A, B, C, D, E$ participated. Each team played against each other exactly once. In each game, 3 points were awarded for a win, 1 point for a draw, and 0 points for a loss.\n\nIt is known that at the end of the tournament:\n\n- All teams scored a different number of points.\n- Team $A$ scored the most points, although it lost to team $B$.\n- Teams $B$ and $C$ did not lose any games.\n- Team $C$ scored fewer points than team $D$.\n\nHow many points did each team score?\n\nTeam $A$ scored:\n\nTeam $B$ scored:\n\nTeam $C$ scored:\n\nTeam $D$ scored:\n\nTeam $E$ scored:",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 semicircular sponge with a diameter of $20 \\text{ cm}$ is used to wipe a corner of a room's floor such that the ends of the diameter continuously touch the two walls forming a right angle. What area does the sponge wipe?",
"role": "user"
}
] |
math
|
{
"ground_truth": "100\\pi",
"style": "rule"
}
|
{
"index": 831,
"need_tools_kwargs": true,
"question": "A semicircular sponge with a diameter of $20 \\text{ cm}$ is used to wipe a corner of a room's floor such that the ends of the diameter continuously touch the two walls forming a right angle. What area does the sponge wipe?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 vertices of a $3 \\times 1 \\times 1$ rectangular prism are $A, B, C, D, E, F, G$, and $H$ so that $A E, B F$, $C G$, and $D H$ are edges of length 3. Point $I$ and point $J$ are on $A E$ so that $A I=I J=J E=1$. Similarly, points $K$ and $L$ are on $B F$ so that $B K=K L=L F=1$, points $M$ and $N$ are on $C G$ so that $C M=M N=N G=1$, and points $O$ and $P$ are on $D H$ so that $D O=O P=P H=1$. For every pair of the 16 points $A$ through $P$, Maria computes the distance between them and lists the 120 distances. How many of these 120 distances are equal to $\\sqrt{2}$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "32",
"style": "rule"
}
|
{
"index": 832,
"need_tools_kwargs": true,
"question": "The vertices of a $3 \\times 1 \\times 1$ rectangular prism are $A, B, C, D, E, F, G$, and $H$ so that $A E, B F$, $C G$, and $D H$ are edges of length 3. Point $I$ and point $J$ are on $A E$ so that $A I=I J=J E=1$. Similarly, points $K$ and $L$ are on $B F$ so that $B K=K L=L F=1$, points $M$ and $N$ are on $C G$ so that $C M=M N=N G=1$, and points $O$ and $P$ are on $D H$ so that $D O=O P=P H=1$. For every pair of the 16 points $A$ through $P$, Maria computes the distance between them and lists the 120 distances. How many of these 120 distances are equal to $\\sqrt{2}$?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Do director of film Seven Footprints To Satan and director of film Mia Nonna Poliziotto share the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 833,
"need_tools_kwargs": true,
"question": "Do director of film Seven Footprints To Satan and director of film Mia Nonna Poliziotto 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": "Masha wrote on the board, in ascending order, all the natural divisors of a certain number \\( N \\) (the first divisor is 1, and the largest divisor is the number \\( N \\) itself). It turned out that the third-to-last divisor is 21 times larger than the second divisor. What is the largest possible value of \\( N \\)?",
"role": "user"
}
] |
math
|
{
"ground_truth": "441",
"style": "rule"
}
|
{
"index": 834,
"need_tools_kwargs": true,
"question": "Masha wrote on the board, in ascending order, all the natural divisors of a certain number \\( N \\) (the first divisor is 1, and the largest divisor is the number \\( N \\) itself). It turned out that the third-to-last divisor is 21 times larger than the second divisor. What is the largest possible value of \\( N \\)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who casted a film directed by John G. Avildsen?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Caro Jones",
"style": "rule"
}
|
{
"index": 835,
"need_tools_kwargs": true,
"question": "Who casted a film directed by John G. Avildsen?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Of the integers $a$, $b$, and $c$ that satisfy $0 < c < b < a$ and\n$$a^3 - b^3 - c^3 - abc + 1 = 2022,$$\nlet $c'$ be the least value of $ c$ appearing in any solution, let $a'$ be the least value of $a$ appearing in any solution with $c = c'$, and let $b'$ be the value of $b$ in the solution where $c = c'$ and $a = a'$. Find $a' + b' + c'$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "19",
"style": "rule"
}
|
{
"index": 836,
"need_tools_kwargs": true,
"question": "Of the integers $a$, $b$, and $c$ that satisfy $0 < c < b < a$ and\n$$a^3 - b^3 - c^3 - abc + 1 = 2022,$$\nlet $c'$ be the least value of $ c$ appearing in any solution, let $a'$ be the least value of $a$ appearing in any solution with $c = c'$, and let $b'$ be the value of $b$ in the solution where $c = c'$ and $a = a'$. Find $a' + b' + c'$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of death of the director of film 813 (Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "October 1, 1955",
"style": "rule"
}
|
{
"index": 837,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film 813 (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": "Who wrote the lyrics of Portofino with a collaborator on \"Fiddler on the Roof\"",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Richard Ney",
"style": "rule"
}
|
{
"index": 838,
"need_tools_kwargs": true,
"question": "Who wrote the lyrics of Portofino with a collaborator on \"Fiddler on the Roof\"",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let\n\n$$\n2^{x}=\\left(1+\\tan 0.01^{\\circ}\\right)\\left(1+\\tan 0.02^{\\circ}\\right)\\left(1+\\tan 0.03^{\\circ}\\right) \\ldots\\left(1+\\tan 44.99^{\\circ}\\right)\n$$\n\nFind \\( x \\). If necessary, round the answer to the nearest 0.01.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2249.5",
"style": "rule"
}
|
{
"index": 839,
"need_tools_kwargs": true,
"question": "Let\n\n$$\n2^{x}=\\left(1+\\tan 0.01^{\\circ}\\right)\\left(1+\\tan 0.02^{\\circ}\\right)\\left(1+\\tan 0.03^{\\circ}\\right) \\ldots\\left(1+\\tan 44.99^{\\circ}\\right)\n$$\n\nFind \\( x \\). If necessary, round the answer to the nearest 0.01.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When was the Canadian musician and actor who starred in Girl in 3D born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "September 24, 1965",
"style": "rule"
}
|
{
"index": 840,
"need_tools_kwargs": true,
"question": "When was the Canadian musician and actor who starred in Girl in 3D 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": "Let $N$ be the number of sequences of positive integers greater than $ 1$ where the product of all of the terms of the sequence is $12^{64}$. If $N$ can be expressed as $a(2^b)$ ), where $a$ is an odd positive integer, determine $b$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "128",
"style": "rule"
}
|
{
"index": 841,
"need_tools_kwargs": true,
"question": "Let $N$ be the number of sequences of positive integers greater than $ 1$ where the product of all of the terms of the sequence is $12^{64}$. If $N$ can be expressed as $a(2^b)$ ), where $a$ is an odd positive integer, determine $b$.",
"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": "Did Ashok Chavan and Peppino Tirri share the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 842,
"need_tools_kwargs": true,
"question": "Did Ashok Chavan and Peppino Tirri share the same nationality?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of death of Odoardo Farnese, Hereditary Prince Of Parma's father?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "11 December 1694",
"style": "rule"
}
|
{
"index": 843,
"need_tools_kwargs": true,
"question": "What is the date of death of Odoardo Farnese, Hereditary Prince Of Parma's father?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What Britain's Got Talent judge is also the editorial director of \"First News\", a British national newspaper for children?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Piers Stefan Pughe-Morgan",
"style": "rule"
}
|
{
"index": 844,
"need_tools_kwargs": true,
"question": "What Britain's Got Talent judge is also the editorial director of \"First News\", a British national newspaper for children?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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\\) copies of a right-angled isosceles triangle with hypotenuse \\(\\sqrt{2} \\, \\mathrm{cm}\\) can be assembled to form a trapezium with perimeter equal to \\(b \\, \\mathrm{cm}\\), find the least possible value of \\(b\\). (Give the answer in surd form.)",
"role": "user"
}
] |
math
|
{
"ground_truth": "4+2\\sqrt{2}",
"style": "rule"
}
|
{
"index": 845,
"need_tools_kwargs": true,
"question": "If \\(a\\) copies of a right-angled isosceles triangle with hypotenuse \\(\\sqrt{2} \\, \\mathrm{cm}\\) can be assembled to form a trapezium with perimeter equal to \\(b \\, \\mathrm{cm}\\), find the least possible value of \\(b\\). (Give the answer in surd 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": "若平面上有 100 条二次曲线, 则这些曲线可以把平面分成若干个连通区域, 则连通区域数量最大值为 $\\qquad$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "20101",
"style": "rule"
}
|
{
"index": 846,
"need_tools_kwargs": true,
"question": "若平面上有 100 条二次曲线, 则这些曲线可以把平面分成若干个连通区域, 则连通区域数量最大值为 $\\qquad$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In which year did this Saxon noble woman whose daughter gave birth to Gisela and Charles the Bald was born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "778",
"style": "rule"
}
|
{
"index": 847,
"need_tools_kwargs": true,
"question": "In which year did this Saxon noble woman whose daughter gave birth to Gisela and Charles the Bald was born?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The function $f(x) = \\begin{cases} 3^{x-2}, & x<2 \\\\ \\log_{3}(x^{2}-1), & x\\geq 2 \\end{cases}$, if $f(a)=1$, then the value of $a$ is ( )\n\nA: 1 or 2 \nB: 1 \nC: 2 \nD: 1 or -2",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 848,
"need_tools_kwargs": true,
"question": "The function $f(x) = \\begin{cases} 3^{x-2}, & x<2 \\\\ \\log_{3}(x^{2}-1), & x\\geq 2 \\end{cases}$, if $f(a)=1$, then the value of $a$ is ( )\n\nA: 1 or 2 \nB: 1 \nC: 2 \nD: 1 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": "Which film has the director who is older, Wait Until Spring, Bandini or The Wolf Dog?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "The Wolf Dog",
"style": "rule"
}
|
{
"index": 849,
"need_tools_kwargs": true,
"question": "Which film has the director who is older, Wait Until Spring, Bandini or The Wolf Dog?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $f(x)=ax^{2}-\\ln x$, where $a\\in \\mathbb{R}$. \n(I) When $a=1$, find the equation of the tangent line to the function $f(x)$ at the point $(1,f(1))$. \n(II) Determine whether there exists a real number $a$ such that the minimum value of the function $f(x)$ on the interval $(0,e]$ is $\\frac{3}{2}$. If it exists, find the value of $a$; if not, explain why.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{3}{2}",
"style": "rule"
}
|
{
"index": 850,
"need_tools_kwargs": true,
"question": "Given the function $f(x)=ax^{2}-\\ln x$, where $a\\in \\mathbb{R}$. \n(I) When $a=1$, find the equation of the tangent line to the function $f(x)$ at the point $(1,f(1))$. \n(II) Determine whether there exists a real number $a$ such that the minimum value of the function $f(x)$ on the interval $(0,e]$ is $\\frac{3}{2}$. If it exists, find the value of $a$; if not, explain why.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $θ$ is an angle in the second quadrant, if $\\tan \\left(θ+ \\frac {π}{4}\\right)= \\frac {1}{2}$, then the value of $\\sin θ-\\cos θ$ is ( ).\n\nA: $- \\frac { \\sqrt {10}}{5}$\n\nB: $\\frac { \\sqrt {10}}{5}$\n\nC: $\\frac {2 \\sqrt {10}}{5}$\n\nD: $- \\frac {2 \\sqrt {10}}{5}$",
"role": "user"
}
] |
math
|
{
"ground_truth": "C: \\frac {2 \\sqrt {10}}{5}",
"style": "rule"
}
|
{
"index": 851,
"need_tools_kwargs": true,
"question": "Given that $θ$ is an angle in the second quadrant, if $\\tan \\left(θ+ \\frac {π}{4}\\right)= \\frac {1}{2}$, then the value of $\\sin θ-\\cos θ$ is ( ).\n\nA: $- \\frac { \\sqrt {10}}{5}$\n\nB: $\\frac { \\sqrt {10}}{5}$\n\nC: $\\frac {2 \\sqrt {10}}{5}$\n\nD: $- \\frac {2 \\sqrt {10}}{5}$",
"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": "When did the performer of song Zion (Song) die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "10 January 2016",
"style": "rule"
}
|
{
"index": 852,
"need_tools_kwargs": true,
"question": "When did the performer of song Zion (Song) 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 a store, there are four types of nuts: hazelnuts, almonds, cashews, and pistachios. Stepan wants to buy 1 kilogram of nuts of one type and 1 kilogram of nuts of another type. He has calculated the cost of such a purchase depending on which two types of nuts he chooses. Five of Stepan's six possible purchases would cost 1900, 2070, 2110, 2330, and 2500 rubles. How many rubles is the cost of the sixth possible purchase?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2290",
"style": "rule"
}
|
{
"index": 853,
"need_tools_kwargs": true,
"question": "In a store, there are four types of nuts: hazelnuts, almonds, cashews, and pistachios. Stepan wants to buy 1 kilogram of nuts of one type and 1 kilogram of nuts of another type. He has calculated the cost of such a purchase depending on which two types of nuts he chooses. Five of Stepan's six possible purchases would cost 1900, 2070, 2110, 2330, and 2500 rubles. How many rubles is the cost of the sixth possible purchase?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Was Peter Hermann (Cyclist) or Franco Ferraris born first?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Franco Ferraris",
"style": "rule"
}
|
{
"index": 854,
"need_tools_kwargs": true,
"question": "Was Peter Hermann (Cyclist) or Franco Ferraris born first?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Forty mice were walking, carrying forty coins. Two less-capable mice carried two coins each. Several mice did not carry any coins at all. The larger ones carried seven coins each. The rest carried four coins each. How many mice were walking without any coins?",
"role": "user"
}
] |
math
|
{
"ground_truth": "32",
"style": "rule"
}
|
{
"index": 855,
"need_tools_kwargs": true,
"question": "Forty mice were walking, carrying forty coins. Two less-capable mice carried two coins each. Several mice did not carry any coins at all. The larger ones carried seven coins each. The rest carried four coins each. How many mice were walking without any coins?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 cube with a volume of 1 cubic meter is cut into four layers by three parallel cuts along the vertical axis. The first cut is made $\\frac{1}{4}$ meter from the top, the second cut is $\\frac{1}{6}$ meter below the first, and the third cut is $\\frac{1}{12}$ meter below the second. If the pieces are rearranged in the sequence of B, C, A, and D from top to bottom, calculate the total surface area of the new solid in square meters.",
"role": "user"
}
] |
math
|
{
"ground_truth": "8",
"style": "rule"
}
|
{
"index": 856,
"need_tools_kwargs": true,
"question": "A cube with a volume of 1 cubic meter is cut into four layers by three parallel cuts along the vertical axis. The first cut is made $\\frac{1}{4}$ meter from the top, the second cut is $\\frac{1}{6}$ meter below the first, and the third cut is $\\frac{1}{12}$ meter below the second. If the pieces are rearranged in the sequence of B, C, A, and D from top to bottom, calculate the total surface area of the new solid in square meters.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Max Hell Frog Warrior starred which Actor who hailed from Baltimore?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Conrad Brooks",
"style": "rule"
}
|
{
"index": 857,
"need_tools_kwargs": true,
"question": "Max Hell Frog Warrior starred which Actor who hailed from Baltimore?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Janusz Iii Of Masovia's father die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "28 October 1503",
"style": "rule"
}
|
{
"index": 858,
"need_tools_kwargs": true,
"question": "When did Janusz Iii Of Masovia's father 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": "Are Kwabenya and Zard-e Sheykh Hasan both located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 859,
"need_tools_kwargs": true,
"question": "Are Kwabenya and Zard-e Sheykh Hasan 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": "There are $200$ numbers on a blackboard: $ 1! , 2! , 3! , 4! , ... ... , 199! , 200!$ .\nJulia erases one of the numbers. When Julia multiplies the remaining $199$ numbers, the product is a perfect square. Which number was erased?",
"role": "user"
}
] |
math
|
{
"ground_truth": "100!",
"style": "rule"
}
|
{
"index": 860,
"need_tools_kwargs": true,
"question": "There are $200$ numbers on a blackboard: $ 1! , 2! , 3! , 4! , ... ... , 199! , 200!$ .\nJulia erases one of the numbers. When Julia multiplies the remaining $199$ numbers, the product is a perfect square. Which number was erased?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $ABCD$ be a rectangle with $AB = 6$ and $BC = 6 \\sqrt{3}$. We construct four semicircles $\\omega_1$, $\\omega_2$, $\\omega_3$, $\\omega_4$ whose diameters are the segments $AB$, $BC$, $CD$, $DA$. It is given that $\\omega_i$ and $\\omega_{i+1}$ intersect at some point $X_i$ in the interior of $ABCD$ for every $i=1,2,3,4$ (indices taken modulo $4$). Compute the square of the area of $X_1X_2X_3X_4$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "243",
"style": "rule"
}
|
{
"index": 861,
"need_tools_kwargs": true,
"question": "Let $ABCD$ be a rectangle with $AB = 6$ and $BC = 6 \\sqrt{3}$. We construct four semicircles $\\omega_1$, $\\omega_2$, $\\omega_3$, $\\omega_4$ whose diameters are the segments $AB$, $BC$, $CD$, $DA$. It is given that $\\omega_i$ and $\\omega_{i+1}$ intersect at some point $X_i$ in the interior of $ABCD$ for every $i=1,2,3,4$ (indices taken modulo $4$). Compute the square of the area of $X_1X_2X_3X_4$.",
"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": "Find all integers \\( n \\) (where \\( n \\geqslant 2 \\)) such that there exists a permutation \\( x_{0}, x_{1}, \\cdots, x_{n-1} \\) of \\( 0, 1, \\cdots, n-1 \\) satisfying that \\( x_{0}, x_{0}+x_{1}, \\cdots, x_{0}+x_{1}+\\cdots+x_{n-1} \\) are pairwise distinct modulo \\( n \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "2, 4, 6, 8, 10",
"style": "rule"
}
|
{
"index": 862,
"need_tools_kwargs": true,
"question": "Find all integers \\( n \\) (where \\( n \\geqslant 2 \\)) such that there exists a permutation \\( x_{0}, x_{1}, \\cdots, x_{n-1} \\) of \\( 0, 1, \\cdots, n-1 \\) satisfying that \\( x_{0}, x_{0}+x_{1}, \\cdots, x_{0}+x_{1}+\\cdots+x_{n-1} \\) are pairwise distinct modulo \\( 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 is the place of birth of Alexander Stockton Cussons's father?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Holbeck",
"style": "rule"
}
|
{
"index": 863,
"need_tools_kwargs": true,
"question": "What is the place of birth of Alexander Stockton Cussons's father?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What nationality is the director of film Age Of Consent (Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "British",
"style": "rule"
}
|
{
"index": 864,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Age Of Consent (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": "Write down the equation for which the number $\\alpha = \\frac{1}{2}(\\sqrt[3]{5 \\sqrt{2}+7} - \\sqrt[3]{5 \\sqrt{2}-7})$ will be a root. Express the number $\\alpha$ without using radicals.",
"role": "user"
}
] |
math
|
{
"ground_truth": "0",
"style": "rule"
}
|
{
"index": 865,
"need_tools_kwargs": true,
"question": "Write down the equation for which the number $\\alpha = \\frac{1}{2}(\\sqrt[3]{5 \\sqrt{2}+7} - \\sqrt[3]{5 \\sqrt{2}-7})$ will be a root. Express the number $\\alpha$ without using radicals.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 singer who won Best New Artist at the 2017 Grammy awards, has a second album that was released July 2017?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Kelsea Ballerini",
"style": "rule"
}
|
{
"index": 866,
"need_tools_kwargs": true,
"question": "What singer who won Best New Artist at the 2017 Grammy awards, has a second album that was released July 2017?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 total number of solutions to the following system of equations: \\[ \\begin{cases} a^2\\plus{}bc\\equiv a\\pmod {37} b(a\\plus{}d)\\equiv b\\pmod {37} c(a\\plus{}d)\\equiv c\\pmod{37} bc\\plus{}d^2\\equiv d\\pmod{37} ad\\minus{}bc\\equiv 1\\pmod{37}\\end{cases}\\]",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"index": 867,
"need_tools_kwargs": true,
"question": "Find the total number of solutions to the following system of equations: \\[ \\begin{cases} a^2\\plus{}bc\\equiv a\\pmod {37} b(a\\plus{}d)\\equiv b\\pmod {37} c(a\\plus{}d)\\equiv c\\pmod{37} bc\\plus{}d^2\\equiv d\\pmod{37} ad\\minus{}bc\\equiv 1\\pmod{37}\\end{cases}\\]",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $(x_1,x_2,\\dots,x_{100})$ be a permutation of $(1,2,...,100)$ . Define $$ S = \\{m \\mid m\\text{ is the median of }\\{x_i, x_{i+1}, x_{i+2}\\}\\text{ for some }i\\}. $$ Determine the minimum possible value of the sum of all elements of $S$ .",
"role": "user"
}
] |
math
|
{
"ground_truth": "1122",
"style": "rule"
}
|
{
"index": 868,
"need_tools_kwargs": true,
"question": "Let $(x_1,x_2,\\dots,x_{100})$ be a permutation of $(1,2,...,100)$ . Define $$ S = \\{m \\mid m\\text{ is the median of }\\{x_i, x_{i+1}, x_{i+2}\\}\\text{ for some }i\\}. $$ Determine the minimum possible value of the sum of all elements of $S$ .",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $ABCD$ be an isosceles trapezoid with $AD=BC$ and $AB<CD.$ Suppose that the distances from $A$ to the lines $BC,CD,$ and $BD$ are $15,18,$ and $10,$ respectively. Let $K$ be the area of $ABCD.$ Find $\\sqrt2 \\cdot K.$",
"role": "user"
}
] |
math
|
{
"ground_truth": "567",
"style": "rule"
}
|
{
"index": 869,
"need_tools_kwargs": true,
"question": "Let $ABCD$ be an isosceles trapezoid with $AD=BC$ and $AB<CD.$ Suppose that the distances from $A$ to the lines $BC,CD,$ and $BD$ are $15,18,$ and $10,$ respectively. Let $K$ be the area of $ABCD.$ Find $\\sqrt2 \\cdot K.$",
"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": "Are both movies, Destination Unknown (1933 film) and The Girl (1987 film), from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 870,
"need_tools_kwargs": true,
"question": "Are both movies, Destination Unknown (1933 film) and The Girl (1987 film), from the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Six ants are placed on the vertices of a regular hexagon with an area of $12$. At each point in time, each ant looks at the next ant in the hexagon (in counterclockwise order), and measures the distance, $s$, to the next ant. Each ant then proceeds towards the next ant at a speed of $\\frac{s}{100}$ units per year. After T years, the ants’ new positions are the vertices of a new hexagon with an area of $4$. T is of the form $a \\ln b$, where $b$ is square-free. Find $a + b$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "103",
"style": "rule"
}
|
{
"index": 871,
"need_tools_kwargs": true,
"question": "Six ants are placed on the vertices of a regular hexagon with an area of $12$. At each point in time, each ant looks at the next ant in the hexagon (in counterclockwise order), and measures the distance, $s$, to the next ant. Each ant then proceeds towards the next ant at a speed of $\\frac{s}{100}$ units per year. After T years, the ants’ new positions are the vertices of a new hexagon with an area of $4$. T is of the form $a \\ln b$, where $b$ is square-free. Find $a + b$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where did Rick Wolff (Writer)'s father study?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Duke University",
"style": "rule"
}
|
{
"index": 872,
"need_tools_kwargs": true,
"question": "Where did Rick Wolff (Writer)'s father study?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In how many ways can the numbers from $2$ to $2022$ be arranged so that the first number is a multiple of $1$ , the second number is a multiple of $2$ , the third number is a multiple of $3$ , and so on untile the last number is a multiple of $2021$ ?",
"role": "user"
}
] |
math
|
{
"ground_truth": "13",
"style": "rule"
}
|
{
"index": 873,
"need_tools_kwargs": true,
"question": "In how many ways can the numbers from $2$ to $2022$ be arranged so that the first number is a multiple of $1$ , the second number is a multiple of $2$ , the third number is a multiple of $3$ , and so on untile the last number is a multiple of $2021$ ?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Abigail spent a certain percentage of her money on food, and 25% of the remainder on her phone bill. After spending $20 on entertainment, she is left with $40. Abigail initially had $200. What percentage of her money did she spend on food?",
"role": "user"
}
] |
math
|
{
"ground_truth": "51.43\\%",
"style": "rule"
}
|
{
"index": 874,
"need_tools_kwargs": true,
"question": "Abigail spent a certain percentage of her money on food, and 25% of the remainder on her phone bill. After spending $20 on entertainment, she is left with $40. Abigail initially had $200. What percentage of her money did she spend on food?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 number of lattice points (points with integer coordinates) within and on the boundary of the circle \\(x^{2}+y^{2}=8\\) is one-fifth of the number of lattice points within and on the boundary of the ellipse \\(\\frac{x^{2}}{a^{2}}+\\frac{y^{2}}{4}=1\\), determine the range of the positive real number \\(a\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "22",
"style": "rule"
}
|
{
"index": 875,
"need_tools_kwargs": true,
"question": "Given that the number of lattice points (points with integer coordinates) within and on the boundary of the circle \\(x^{2}+y^{2}=8\\) is one-fifth of the number of lattice points within and on the boundary of the ellipse \\(\\frac{x^{2}}{a^{2}}+\\frac{y^{2}}{4}=1\\), determine the range of the positive real number \\(a\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where was the place of death of the director of film Under The Same Skin?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Buenos Aires",
"style": "rule"
}
|
{
"index": 876,
"need_tools_kwargs": true,
"question": "Where was the place of death of the director of film Under The Same Skin?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What nationality is the director of film The Fiend With The Electronic Brain?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American",
"style": "rule"
}
|
{
"index": 877,
"need_tools_kwargs": true,
"question": "What nationality is the director of film The Fiend With The Electronic Brain?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $a$, $b$, $c$, $d$, $e$, and $f$ are integers for which $1000x^3+27= (ax^2 + bx +c )(d x^2 +ex + f)$ for all $x$, then what is $a^2+b^2+c^2+d^2+e^2+f^2$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "11,\\!090",
"style": "rule"
}
|
{
"index": 878,
"need_tools_kwargs": true,
"question": "If $a$, $b$, $c$, $d$, $e$, and $f$ are integers for which $1000x^3+27= (ax^2 + bx +c )(d x^2 +ex + f)$ for all $x$, then what is $a^2+b^2+c^2+d^2+e^2+f^2$?",
"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": "Find the maximum value of\n\\[\\begin{vmatrix} 1 & 1 & 1 \\\\ 1 & 1 + \\sin \\theta & 1 \\\\ 1 + \\cos \\theta & 1 & 1 \\end{vmatrix},\\]as $\\theta$ ranges over all angles.",
"role": "user"
}
] |
math
|
{
"ground_truth": "0.5",
"style": "rule"
}
|
{
"index": 879,
"need_tools_kwargs": true,
"question": "Find the maximum value of\n\\[\\begin{vmatrix} 1 & 1 & 1 \\\\ 1 & 1 + \\sin \\theta & 1 \\\\ 1 + \\cos \\theta & 1 & 1 \\end{vmatrix},\\]as $\\theta$ ranges over all angles.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "矩形 R 被分割成 2016 个小矩形，其中每个小矩形的边均平行于矩形 R 的边。小矩形的顶点称为结点，一条在小矩形边上的线段，若其两个端点均为结点，且其内部不含其他结点，则称这条线段为\"基本线段\"。考虑所有的分割方式，设基本线段条数的最大值为 a，最小值为 b，求 a + b 的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "10171",
"style": "rule"
}
|
{
"index": 880,
"need_tools_kwargs": true,
"question": "矩形 R 被分割成 2016 个小矩形，其中每个小矩形的边均平行于矩形 R 的边。小矩形的顶点称为结点，一条在小矩形边上的线段，若其两个端点均为结点，且其内部不含其他结点，则称这条线段为\"基本线段\"。考虑所有的分割方式，设基本线段条数的最大值为 a，最小值为 b，求 a + b 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": "How many degrees are there in the measure of angle $P?$\n\n[asy]\nsize (5cm,5cm);\npair A,B,C,D,E;\n\nA=(0,1.1);\nB=(4.5,0);\nC=(6.4,1.7);\nD=(4.2,5);\nE=(0.5,4.2);\n\ndraw (A--B--C--D--E--A,linewidth(1));\n\nlabel(\"$P$\",A,SW);\nlabel(\"$128^\\circ$\",shift(0,0.6)*B);\n\nlabel(\"$92^\\circ$\",C,W);\nlabel(\"$113^\\circ$\",shift(-0.3,-0.5)*D);\nlabel(\"$111^\\circ$\",shift(0.5,-0.3)*E);\ndraw(anglemark(B,A,E),blue);\n\n[/asy]",
"role": "user"
}
] |
math
|
{
"ground_truth": "96^\\circ",
"style": "rule"
}
|
{
"index": 881,
"need_tools_kwargs": true,
"question": "How many degrees are there in the measure of angle $P?$\n\n[asy]\nsize (5cm,5cm);\npair A,B,C,D,E;\n\nA=(0,1.1);\nB=(4.5,0);\nC=(6.4,1.7);\nD=(4.2,5);\nE=(0.5,4.2);\n\ndraw (A--B--C--D--E--A,linewidth(1));\n\nlabel(\"$P$\",A,SW);\nlabel(\"$128^\\circ$\",shift(0,0.6)*B);\n\nlabel(\"$92^\\circ$\",C,W);\nlabel(\"$113^\\circ$\",shift(-0.3,-0.5)*D);\nlabel(\"$111^\\circ$\",shift(0.5,-0.3)*E);\ndraw(anglemark(B,A,E),blue);\n\n[/asy]",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Compute the number of ways to rearrange nine white cubes and eighteen black cubes into a $3 \\times 3 \\times 3$ cube such that each $1 \\times 1 \\times 3$ row or column contains exactly one white cube. Note that rotations are considered \\textit{distinct}.",
"role": "user"
}
] |
math
|
{
"ground_truth": "12",
"style": "rule"
}
|
{
"index": 882,
"need_tools_kwargs": true,
"question": "Compute the number of ways to rearrange nine white cubes and eighteen black cubes into a $3 \\times 3 \\times 3$ cube such that each $1 \\times 1 \\times 3$ row or column contains exactly one white cube. Note that rotations are considered \\textit{distinct}.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of death of the director of film The Dresser (1983 Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "9 January 2011",
"style": "rule"
}
|
{
"index": 883,
"need_tools_kwargs": true,
"question": "What is the date of death of the director of film The Dresser (1983 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": "What year was the man who formed The Council in 1972 born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1933",
"style": "rule"
}
|
{
"index": 884,
"need_tools_kwargs": true,
"question": "What year was the man who formed The Council in 1972 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": "Five freshmen from a university plan to join four school-organized clubs: \"Little Grass Literature Society,\" \"Street Dance Club,\" \"Football House,\" and \"Cycling Club.\" Each club must have at least one participant, and each student can only join one club. Student A does not participate in the \"Street Dance Club.\" The number of different ways these five students can join the clubs is ( ).\n\nA: 160\nB: 180\nC: 200\nD: 220",
"role": "user"
}
] |
math
|
{
"ground_truth": "180",
"style": "rule"
}
|
{
"index": 885,
"need_tools_kwargs": true,
"question": "Five freshmen from a university plan to join four school-organized clubs: \"Little Grass Literature Society,\" \"Street Dance Club,\" \"Football House,\" and \"Cycling Club.\" Each club must have at least one participant, and each student can only join one club. Student A does not participate in the \"Street Dance Club.\" The number of different ways these five students can join the clubs is ( ).\n\nA: 160\nB: 180\nC: 200\nD: 220",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Sathruvu die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "22 February 2019",
"style": "rule"
}
|
{
"index": 886,
"need_tools_kwargs": true,
"question": "When did the director of film Sathruvu 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": "Find the least possible value of the following expression:\n\n$$\\lfloor \\frac{a+b}{c+d}\\rfloor + \\lfloor \\frac{a+c}{b+d}\\rfloor + \\lfloor \\frac{a+d}{b+c}\\rfloor + \\lfloor \\frac{c+d}{a+b}\\rfloor + \\lfloor \\frac{b+d}{a+c}\\rfloor + \\lfloor \\frac{b+c}{a+d}\\rfloor$$\n\nwhere $a$, $b$, $c$, and $d$ are positive real numbers.",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 887,
"need_tools_kwargs": true,
"question": "Find the least possible value of the following expression:\n\n$$\\lfloor \\frac{a+b}{c+d}\\rfloor + \\lfloor \\frac{a+c}{b+d}\\rfloor + \\lfloor \\frac{a+d}{b+c}\\rfloor + \\lfloor \\frac{c+d}{a+b}\\rfloor + \\lfloor \\frac{b+d}{a+c}\\rfloor + \\lfloor \\frac{b+c}{a+d}\\rfloor$$\n\nwhere $a$, $b$, $c$, and $d$ are positive real numbers.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $f$ be a strictly increasing function defined on the set of natural numbers satisfying the conditions $f(2) = a > 2$ and $f(mn) = f(m)f(n)$ for all natural numbers $m$ and $n$. Determine the smallest possible value of $a$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"index": 888,
"need_tools_kwargs": true,
"question": "Let $f$ be a strictly increasing function defined on the set of natural numbers satisfying the conditions $f(2) = a > 2$ and $f(mn) = f(m)f(n)$ for all natural numbers $m$ and $n$. Determine the smallest possible value of $a$.",
"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": "Given \\( n \\in \\mathbb{N}^{*} \\), there are \\( 2n \\) points on the circumference of a circle. Let \\( F_n \\) be the number of ways to connect these points in pairs using \\( n \\) non-intersecting chords inside the circle. Find a recurrence relation for \\( F_n \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "0}^{n-1}F_kF_{n-k-1}",
"style": "rule"
}
|
{
"index": 889,
"need_tools_kwargs": true,
"question": "Given \\( n \\in \\mathbb{N}^{*} \\), there are \\( 2n \\) points on the circumference of a circle. Let \\( F_n \\) be the number of ways to connect these points in pairs using \\( n \\) non-intersecting chords inside the circle. Find a recurrence relation for \\( F_n \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The Festning Tunnel runs under what type of structure?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "a medieval castle",
"style": "rule"
}
|
{
"index": 890,
"need_tools_kwargs": true,
"question": "The Festning Tunnel runs under what type of structure?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Identify the equations from the following list that do not have a solution: \n1. $(x-5)^2 = -1$\n2. $|2x| + 3 = 0$\n3. $\\sqrt{x+3} - 1 = 0$\n4. $\\sqrt{4-x} - 3 = 0$\n5. $|2x| - 4 = 0$\n\nExplain your reasoning for each equation.",
"role": "user"
}
] |
math
|
{
"ground_truth": "12",
"style": "rule"
}
|
{
"index": 891,
"need_tools_kwargs": true,
"question": "Identify the equations from the following list that do not have a solution: \n1. $(x-5)^2 = -1$\n2. $|2x| + 3 = 0$\n3. $\\sqrt{x+3} - 1 = 0$\n4. $\\sqrt{4-x} - 3 = 0$\n5. $|2x| - 4 = 0$\n\nExplain your reasoning for each equation.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 smartphone that was the first to support the emerging LTE Advanced mobile network standard also included S Voice?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "The Samsung Galaxy S4",
"style": "rule"
}
|
{
"index": 892,
"need_tools_kwargs": true,
"question": "Which smartphone that was the first to support the emerging LTE Advanced mobile network standard also included S Voice?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Carlos Bustos and Bryony Shaw of the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 893,
"need_tools_kwargs": true,
"question": "Are Carlos Bustos and Bryony Shaw of the same nationality?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In triangle $ABC$, $AB = 16$, $AC = 24$, $BC = 19$, and $AD$ is an angle bisector. Find the ratio of the area of triangle $ABD$ to the area of triangle $ACD$. (Express your answer as a fraction in lowest terms.)",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{4}{9}",
"style": "rule"
}
|
{
"index": 894,
"need_tools_kwargs": true,
"question": "In triangle $ABC$, $AB = 16$, $AC = 24$, $BC = 19$, and $AD$ is an angle bisector. Find the ratio of the area of triangle $ABD$ to the area of triangle $ACD$. (Express your answer as a fraction in lowest terms.)",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 release date of this song recorded by Taylor Swift for which she released a music video?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "June 19, 2006",
"style": "rule"
}
|
{
"index": 895,
"need_tools_kwargs": true,
"question": "What is the release date of this song recorded by Taylor Swift for which she released a music 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": "P.J. starts with \\(m=500\\) and chooses a positive integer \\(n\\) with \\(1 \\leq n \\leq 499\\). He applies the following algorithm to \\(m\\) and \\(n\\): P.J. sets \\(r\\) equal to the remainder when \\(m\\) is divided by \\(n\\). If \\(r=0\\), P.J. sets \\(s=0\\). If \\(r>0\\), P.J. sets \\(s\\) equal to the remainder when \\(n\\) is divided by \\(r\\). If \\(s=0\\), P.J. sets \\(t=0\\). If \\(s>0\\), P.J. sets \\(t\\) equal to the remainder when \\(r\\) is divided by \\(s\\). For how many of the positive integers \\(n\\) with \\(1 \\leq n \\leq 499\\) does P.J.'s algorithm give \\(1 \\leq r \\leq 15\\) and \\(2 \\leq s \\leq 9\\) and \\(t=0\\)?",
"role": "user"
}
] |
math
|
{
"ground_truth": "13",
"style": "rule"
}
|
{
"index": 896,
"need_tools_kwargs": true,
"question": "P.J. starts with \\(m=500\\) and chooses a positive integer \\(n\\) with \\(1 \\leq n \\leq 499\\). He applies the following algorithm to \\(m\\) and \\(n\\): P.J. sets \\(r\\) equal to the remainder when \\(m\\) is divided by \\(n\\). If \\(r=0\\), P.J. sets \\(s=0\\). If \\(r>0\\), P.J. sets \\(s\\) equal to the remainder when \\(n\\) is divided by \\(r\\). If \\(s=0\\), P.J. sets \\(t=0\\). If \\(s>0\\), P.J. sets \\(t\\) equal to the remainder when \\(r\\) is divided by \\(s\\). For how many of the positive integers \\(n\\) with \\(1 \\leq n \\leq 499\\) does P.J.'s algorithm give \\(1 \\leq r \\leq 15\\) and \\(2 \\leq s \\leq 9\\) and \\(t=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": "In a convex quadrilateral \\(PQRS\\), the lengths of sides \\(PQ\\) and \\(RS\\) are given as \\(PQ = 8\\) and \\(RS = 14\\). The diagonals \\(PR\\) and \\(QS\\) intersect at point \\(T\\), with \\(PR = 18\\) and \\(QS = 12\\). It is known that the areas of triangles \\(PTR\\) and \\(QTS\\) are equal. Determine the length of segment \\(PT\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{72}{11}",
"style": "rule"
}
|
{
"index": 897,
"need_tools_kwargs": true,
"question": "In a convex quadrilateral \\(PQRS\\), the lengths of sides \\(PQ\\) and \\(RS\\) are given as \\(PQ = 8\\) and \\(RS = 14\\). The diagonals \\(PR\\) and \\(QS\\) intersect at point \\(T\\), with \\(PR = 18\\) and \\(QS = 12\\). It is known that the areas of triangles \\(PTR\\) and \\(QTS\\) are equal. Determine the length of segment \\(PT\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "On the board, a certain two-digit number is written. Neznaika claimed that it is divisible by $3, 4, 5, 9, 10, 15, 18, 30$. Znayka, upon hearing this, told Neznaika that he was mistaken exactly 4 times. What number could have been written on the board? List all possible options.",
"role": "user"
}
] |
math
|
{
"ground_truth": "36, 45, 72",
"style": "rule"
}
|
{
"index": 898,
"need_tools_kwargs": true,
"question": "On the board, a certain two-digit number is written. Neznaika claimed that it is divisible by $3, 4, 5, 9, 10, 15, 18, 30$. Znayka, upon hearing this, told Neznaika that he was mistaken exactly 4 times. What number could have been written on the board? 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": "Hezekiah Davis III was raised in a city that had how many inhabitants in 1900 ?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "3,380",
"style": "rule"
}
|
{
"index": 899,
"need_tools_kwargs": true,
"question": "Hezekiah Davis III was raised in a city that had how many inhabitants in 1900 ?",
"split": "train"
}
| null |
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