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 film did the singer of \"I Saw Mommy Kissing Santa Claus\" star in?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "The Two Little Bears",
"style": "rule"
}
|
{
"index": 5000,
"need_tools_kwargs": true,
"question": "What film did the singer of \"I Saw Mommy Kissing Santa Claus\" star in?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The Bentley Continental Flying Spur shares its platform with a car described by Volkswagen as what ?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "their \"premium class\" vehicle",
"style": "rule"
}
|
{
"index": 5001,
"need_tools_kwargs": true,
"question": "The Bentley Continental Flying Spur shares its platform with a car described by Volkswagen as what ?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "joe invested a certain sum of money in a simple interest bond whose value grew to $ 260 at the end of 3 years and to $ 360 at the end of another 5 years . what was the rate of interest in which he invested his sum ?",
"role": "user"
}
] |
math
|
{
"ground_truth": "7.69\\%",
"style": "rule"
}
|
{
"index": 5002,
"need_tools_kwargs": true,
"question": "joe invested a certain sum of money in a simple interest bond whose value grew to $ 260 at the end of 3 years and to $ 360 at the end of another 5 years . what was the rate of interest in which he invested his sum ?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the largest possible length of an arithmetic progression of positive integers $a_1, a_2, \\ldots, a_n$ with a common difference of $2$, such that $a_k^2 + 1$ is a prime number for each $k = 1, 2, \\ldots, n$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 5003,
"need_tools_kwargs": true,
"question": "What is the largest possible length of an arithmetic progression of positive integers $a_1, a_2, \\ldots, a_n$ with a common difference of $2$, such that $a_k^2 + 1$ is a prime number for each $k = 1, 2, \\ldots, n$?",
"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": "A table tennis club hosts a series of doubles matches following several rules:\n1. Each player belongs to two pairs at most.\n2. Every two distinct pairs play one game against each other at most.\n3. Players in the same pair do not play against each other when they pair with others respectively.\n\nEvery player plays a certain number of games in this series. All these distinct numbers make up a set called the \"set of games\". \n\nConsider a set $A=\\{a_1,a_2,\\ldots ,a_k\\}$ of positive integers such that every element in $A$ is divisible by $6$. Determine the minimum number of players needed to participate in this series so that a schedule for which the corresponding \"set of games\" is equal to set $A$ exists.",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
|
{
"index": 5004,
"need_tools_kwargs": true,
"question": "A table tennis club hosts a series of doubles matches following several rules:\n1. Each player belongs to two pairs at most.\n2. Every two distinct pairs play one game against each other at most.\n3. Players in the same pair do not play against each other when they pair with others respectively.\n\nEvery player plays a certain number of games in this series. All these distinct numbers make up a set called the \"set of games\". \n\nConsider a set $A=\\{a_1,a_2,\\ldots ,a_k\\}$ of positive integers such that every element in $A$ is divisible by $6$. Determine the minimum number of players needed to participate in this series so that a schedule for which the corresponding \"set of games\" is equal to set $A$ exists.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Ok Baytong and director of film Abhinayam have the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 5005,
"need_tools_kwargs": true,
"question": "Do director of film Ok Baytong and director of film Abhinayam have the same nationality?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which film has the director born earlier, The Big Operator (1976 Film) or Soft Living?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Soft Living",
"style": "rule"
}
|
{
"index": 5006,
"need_tools_kwargs": true,
"question": "Which film has the director born earlier, The Big Operator (1976 Film) or Soft Living?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 unitary sovereign state in what part of the world was linked to illegal export of electronic waste?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "East Asia",
"style": "rule"
}
|
{
"index": 5007,
"need_tools_kwargs": true,
"question": "A unitary sovereign state in what part of the world was linked to illegal export of electronic waste?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Die by the drop is second album released on March 30 2010 by a Rock supergroup . In which City and state was this rock supergroup formed in 2009 ?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Nashville, Tennessee",
"style": "rule"
}
|
{
"index": 5008,
"need_tools_kwargs": true,
"question": "Die by the drop is second album released on March 30 2010 by a Rock supergroup . In which City and state was this rock supergroup formed in 2009 ?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In the arithmetic sequence $\\{a_n\\}$, it is given that $a_2 + a_3 + a_4 = 3$, and $S_n$ denotes the sum of the first $n$ terms of the sequence. Find the value of $S_5$.\nA: 3\nB: 4\nC: 5\nD: 6",
"role": "user"
}
] |
math
|
{
"ground_truth": "C: 5",
"style": "rule"
}
|
{
"index": 5009,
"need_tools_kwargs": true,
"question": "In the arithmetic sequence $\\{a_n\\}$, it is given that $a_2 + a_3 + a_4 = 3$, and $S_n$ denotes the sum of the first $n$ terms of the sequence. Find the value of $S_5$.\nA: 3\nB: 4\nC: 5\nD: 6",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In 2016, which NHL player achieved the same status as the baseball player featured in 1989's movie \"Field of Dreams\"?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Jorge Alves",
"style": "rule"
}
|
{
"index": 5010,
"need_tools_kwargs": true,
"question": "In 2016, which NHL player achieved the same status as the baseball player featured in 1989's movie \"Field of Dreams\"?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where did the director of film Happy Memories die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Montreal, Quebec",
"style": "rule"
}
|
{
"index": 5011,
"need_tools_kwargs": true,
"question": "Where did the director of film Happy Memories 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 which district of the Badakhshan Province is the settlement located which is famous for its ancient mines, which produce a deep blue metamorphic rock used as a semi-precious stone that has been prized since antiquity for its intense color, and are said to produce the world's finest of this stone?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "the Kuran Wa Munjan District",
"style": "rule"
}
|
{
"index": 5012,
"need_tools_kwargs": true,
"question": "In which district of the Badakhshan Province is the settlement located which is famous for its ancient mines, which produce a deep blue metamorphic rock used as a semi-precious stone that has been prized since antiquity for its intense color, and are said to produce the world's finest of this stone?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the name of the computer scientist who supervised the doctoral thesis of Annamaria Beatrice Amenta at the University of California, Berkeley?",
"role": "user"
}
] |
qa
|
{
"ground_truth": " Raimund Seidel",
"style": "rule"
}
|
{
"index": 5013,
"need_tools_kwargs": true,
"question": "What is the name of the computer scientist who supervised the doctoral thesis of Annamaria Beatrice Amenta at the University of California, Berkeley?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Sarah Kubitschek's husband?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "22 August 1976",
"style": "rule"
}
|
{
"index": 5014,
"need_tools_kwargs": true,
"question": "What is the date of death of Sarah Kubitschek's husband?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "There are $2022$ students in a winter school. Each pair of students are either friends or enemies. In each turn, we select a student $S$ and switch the status of all relationships for $S$: friends become enemies, and enemies become friends. This process continues until a specific condition is met.\n\n**Final Condition:** For any partition of the students into two non-empty groups $A$ and $B$, there must exist at least one pair of students $a \\in A$ and $b \\in B$ who are friends.\n\nDetermine the minimum number of turns, $n$, required to ensure the final condition is met, regardless of the initial configuration.",
"role": "user"
}
] |
math
|
{
"ground_truth": "1011",
"style": "rule"
}
|
{
"index": 5015,
"need_tools_kwargs": true,
"question": "There are $2022$ students in a winter school. Each pair of students are either friends or enemies. In each turn, we select a student $S$ and switch the status of all relationships for $S$: friends become enemies, and enemies become friends. This process continues until a specific condition is met.\n\n**Final Condition:** For any partition of the students into two non-empty groups $A$ and $B$, there must exist at least one pair of students $a \\in A$ and $b \\in B$ who are friends.\n\nDetermine the minimum number of turns, $n$, required to ensure the final condition is met, regardless of the initial configuration.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Christopher Chaplin's mother graduate from?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Brearley School",
"style": "rule"
}
|
{
"index": 5016,
"need_tools_kwargs": true,
"question": "Where did Christopher Chaplin's mother graduate from?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "For a function $f(x)$ defined on $\\mathbb{R}$, if there exists a function $g(x)=ax+b$ ($a,b$ are constants), such that $f(x) \\geqslant g(x)$ holds for all real numbers $x$, then $g(x)$ is called a supporting function of $f(x)$. Consider the following propositions:\n\n1. The function $g(x)=-2$ is a supporting function of $f(x)= \\begin{cases} \\ln x & ,x > 0 \\\\ 1 & ,x\\leqslant 0 \\end{cases}$;\n2. The function $g(x)=x-1$ is a supporting function of $f(x)=x+\\sin x$;\n3. If the function $g(x)=ax$ is a supporting function of $f(x)=e^{x}$, then the range of $a$ is $[0,e]$;\n4. A function $f(x)$ whose range is $\\mathbb{R}$ does not have a supporting function.\n\nThe number of correct propositions is ______.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 5017,
"need_tools_kwargs": true,
"question": "For a function $f(x)$ defined on $\\mathbb{R}$, if there exists a function $g(x)=ax+b$ ($a,b$ are constants), such that $f(x) \\geqslant g(x)$ holds for all real numbers $x$, then $g(x)$ is called a supporting function of $f(x)$. Consider the following propositions:\n\n1. The function $g(x)=-2$ is a supporting function of $f(x)= \\begin{cases} \\ln x & ,x > 0 \\\\ 1 & ,x\\leqslant 0 \\end{cases}$;\n2. The function $g(x)=x-1$ is a supporting function of $f(x)=x+\\sin x$;\n3. If the function $g(x)=ax$ is a supporting function of $f(x)=e^{x}$, then the range of $a$ is $[0,e]$;\n4. A function $f(x)$ whose range is $\\mathbb{R}$ does not have a supporting function.\n\nThe number of correct propositions is ______.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the Old Icelandic name of the jutish chieftain on whom Hamlet was based?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "\"Amlóði\"",
"style": "rule"
}
|
{
"index": 5018,
"need_tools_kwargs": true,
"question": "What is the Old Icelandic name of the jutish chieftain on whom Hamlet was based?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "If \\( a + b + c = 1 \\) where \\( a, b, c \\in \\mathbf{R}^{+} \\), find the maximum value of \\( m \\) for which \\( \\sqrt{4a+1} + \\sqrt{4b+1} + \\sqrt{4c+1} > m \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "2+\\sqrt{5}",
"style": "rule"
}
|
{
"index": 5019,
"need_tools_kwargs": true,
"question": "If \\( a + b + c = 1 \\) where \\( a, b, c \\in \\mathbf{R}^{+} \\), find the maximum value of \\( m \\) for which \\( \\sqrt{4a+1} + \\sqrt{4b+1} + \\sqrt{4c+1} > m \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "16 chess players held a tournament among themselves where every two players played exactly one game. The scoring system was as follows: 1 point for a victory, 0.5 points for a draw, and 0 points for a defeat. It was found that exactly 15 chess players shared the first place. Determine how many points the sixteenth chess player could have scored.",
"role": "user"
}
] |
math
|
{
"ground_truth": "0",
"style": "rule"
}
|
{
"index": 5020,
"need_tools_kwargs": true,
"question": "16 chess players held a tournament among themselves where every two players played exactly one game. The scoring system was as follows: 1 point for a victory, 0.5 points for a draw, and 0 points for a defeat. It was found that exactly 15 chess players shared the first place. Determine how many points the sixteenth chess player could have 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": "Let $\\{a_n\\}$ be an arithmetic sequence, and $S_n$ be the sum of its first $n$ terms, given that $S_5 < S_6$, $S_6=S_7 > S_8$, then the correct conclusion(s) is/are \\_\\_\\_\\_\\_\\_ \n$(1) d < 0$ \n$(2) a_7=0$ \n$(3) S_9 > S_5$ \n$(4) S_6$ and $S_7$ are both the maximum value of $S_n$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "(1)(2)(4)",
"style": "rule"
}
|
{
"index": 5021,
"need_tools_kwargs": true,
"question": "Let $\\{a_n\\}$ be an arithmetic sequence, and $S_n$ be the sum of its first $n$ terms, given that $S_5 < S_6$, $S_6=S_7 > S_8$, then the correct conclusion(s) is/are \\_\\_\\_\\_\\_\\_ \n$(1) d < 0$ \n$(2) a_7=0$ \n$(3) S_9 > S_5$ \n$(4) S_6$ and $S_7$ are both the maximum value of $S_n$.",
"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": "A circular cone has vertex \\( I \\), a base with radius 1, and a slant height of 4. Point \\( A \\) is on the circumference of the base and point \\( R \\) is on the line segment \\( IA \\) with \\( IR = 3 \\). Shahid draws the shortest possible path starting at \\( R \\), traveling once around the cone, and ending at \\( A \\). If \\( P \\) is the point on this path that is closest to \\( I \\), what is the length \\( IP \\)?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{12}{5}",
"style": "rule"
}
|
{
"index": 5022,
"need_tools_kwargs": true,
"question": "A circular cone has vertex \\( I \\), a base with radius 1, and a slant height of 4. Point \\( A \\) is on the circumference of the base and point \\( R \\) is on the line segment \\( IA \\) with \\( IR = 3 \\). Shahid draws the shortest possible path starting at \\( R \\), traveling once around the cone, and ending at \\( A \\). If \\( P \\) is the point on this path that is closest to \\( I \\), what is the length \\( IP \\)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $a$ be a constant such that $0 < a \\neq 1$. Find all functions $f: \\mathbb{R}^{+} \\rightarrow \\mathbb{R}$ that satisfy $f(xy) = f(x) + f(y)$ for all $x, y \\in \\mathbb{R}^{+}$ and $f(a) = 1$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "f(x) = \\frac{\\log(x)}{\\log(a)}",
"style": "rule"
}
|
{
"index": 5023,
"need_tools_kwargs": true,
"question": "Let $a$ be a constant such that $0 < a \\neq 1$. Find all functions $f: \\mathbb{R}^{+} \\rightarrow \\mathbb{R}$ that satisfy $f(xy) = f(x) + f(y)$ for all $x, y \\in \\mathbb{R}^{+}$ and $f(a) = 1$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Consider a rectangle \\(ABCD\\) where the length of side \\(AD\\) is twice that of side \\(AB\\). Let point \\(M\\) be the midpoint of side \\(AD\\). Inside the rectangle, there is a point \\(K\\) such that the angle \\(\\angle AMK\\) measures \\(80^\\circ\\), and the ray \\(KD\\) bisects the angle \\(\\angle MKC\\). Determine the measure of the angle \\(\\angle KDA\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "35",
"style": "rule"
}
|
{
"index": 5024,
"need_tools_kwargs": true,
"question": "Consider a rectangle \\(ABCD\\) where the length of side \\(AD\\) is twice that of side \\(AB\\). Let point \\(M\\) be the midpoint of side \\(AD\\). Inside the rectangle, there is a point \\(K\\) such that the angle \\(\\angle AMK\\) measures \\(80^\\circ\\), and the ray \\(KD\\) bisects the angle \\(\\angle MKC\\). Determine the measure of the angle \\(\\angle KDA\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A rectangular piece of paper measures 10 inches by 8 inches. If this paper is folded in half horizontally and then both layers are cut in half parallel to the fold, three new rectangles are formed: one large rectangle and two smaller rectangles. Calculate the ratio of the perimeter of one of the small rectangles to the perimeter of the large rectangle.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{9}{13}",
"style": "rule"
}
|
{
"index": 5025,
"need_tools_kwargs": true,
"question": "A rectangular piece of paper measures 10 inches by 8 inches. If this paper is folded in half horizontally and then both layers are cut in half parallel to the fold, three new rectangles are formed: one large rectangle and two smaller rectangles. Calculate the ratio of the perimeter of one of the small rectangles to the perimeter of the large rectangle.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 American singer, guitarist, songwriter, and producer born who is known for his work in the hard rock bands Rainbow and also performed with Jason Hartless?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "August 2, 1951",
"style": "rule"
}
|
{
"index": 5026,
"need_tools_kwargs": true,
"question": "When was the American singer, guitarist, songwriter, and producer born who is known for his work in the hard rock bands Rainbow and also performed with Jason Hartless?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Ryan has 3 red lava lamps and 3 blue lava lamps. He arranges them in a row on a shelf randomly, then turns 3 random lamps on. What is the probability that the leftmost lamp on the shelf is red, and the leftmost lamp which is turned on is also red?The answer is in the form \frac{m}{n}, where gcd(m, n) = 1. Please provide the value of m + n.",
"role": "user"
}
] |
math
|
{
"ground_truth": "27",
"style": "rule"
}
|
{
"index": 5027,
"need_tools_kwargs": true,
"question": "Ryan has 3 red lava lamps and 3 blue lava lamps. He arranges them in a row on a shelf randomly, then turns 3 random lamps on. What is the probability that the leftmost lamp on the shelf is red, and the leftmost lamp which is turned on is also red?The answer is in the form \frac{m}{n}, where gcd(m, n) = 1. Please provide the value of m + n.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the place of birth of the director of film Marvin (Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Luxembourger",
"style": "rule"
}
|
{
"index": 5028,
"need_tools_kwargs": true,
"question": "What is the place of birth of the director of film Marvin (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": "Define a positive integer as monotonous if it is a one-digit number, or its digits, when read from left to right, form either a strictly increasing sequence, a strictly decreasing sequence, or all digits are the same. Calculate how many monotonous positive integers exist between 1 and 9999 inclusive.",
"role": "user"
}
] |
math
|
{
"ground_truth": "555",
"style": "rule"
}
|
{
"index": 5029,
"need_tools_kwargs": true,
"question": "Define a positive integer as monotonous if it is a one-digit number, or its digits, when read from left to right, form either a strictly increasing sequence, a strictly decreasing sequence, or all digits are the same. Calculate how many monotonous positive integers exist between 1 and 9999 inclusive.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Colleen Barrett joined Southwest Airlines in 1978, after working as executive assistant to a man with what title at Southwest Airlines?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "co-founder, Chairman Emeritus and former CEO",
"style": "rule"
}
|
{
"index": 5030,
"need_tools_kwargs": true,
"question": "Colleen Barrett joined Southwest Airlines in 1978, after working as executive assistant to a man with what title at Southwest Airlines?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 book released that was based on a 1964 American psychological thriller directed by Alfred Hitchcock?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1997",
"style": "rule"
}
|
{
"index": 5031,
"need_tools_kwargs": true,
"question": "What year was the book released that was based on a 1964 American psychological thriller directed by Alfred Hitchcock?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Evaluate $\\log_{\\sqrt{5}} (500\\sqrt{5})$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "x = \\log_5(2) + 7",
"style": "rule"
}
|
{
"index": 5032,
"need_tools_kwargs": true,
"question": "Evaluate $\\log_{\\sqrt{5}} (500\\sqrt{5})$.",
"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": "Which film has the director born later, Dooman River or Double Speed?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Dooman River",
"style": "rule"
}
|
{
"index": 5033,
"need_tools_kwargs": true,
"question": "Which film has the director born later, Dooman River or Double Speed?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $f(x)=2\\sin (\\omega x+\\varphi)$ $(\\omega > 0,|\\varphi| < \\frac {\\pi}{2})$, among the intersection points of the graph of the function and the line $y=1$, the minimum distance between two adjacent intersection points is $\\frac {\\pi}{3}$. Also, $f(x)\\leqslant f(\\frac {\\pi}{12})$ holds for any real number $x$. Find $\\varphi=$ \\_\\_\\_\\_\\_\\_.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac {\\pi}{3}",
"style": "rule"
}
|
{
"index": 5034,
"need_tools_kwargs": true,
"question": "Given the function $f(x)=2\\sin (\\omega x+\\varphi)$ $(\\omega > 0,|\\varphi| < \\frac {\\pi}{2})$, among the intersection points of the graph of the function and the line $y=1$, the minimum distance between two adjacent intersection points is $\\frac {\\pi}{3}$. Also, $f(x)\\leqslant f(\\frac {\\pi}{12})$ holds for any real number $x$. Find $\\varphi=$ \\_\\_\\_\\_\\_\\_.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "100 proof rum contains what percentage of alcohol",
"role": "user"
}
] |
qa
|
{
"ground_truth": "50%",
"style": "rule"
}
|
{
"index": 5035,
"need_tools_kwargs": true,
"question": "100 proof rum contains what percentage of alcohol",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 reals $x \\ge 3$, let $f(x)$ denote the function \\[ f(x) = \\frac{-x + x\\sqrt{4x-3}}{2}. \\]\nLet $a_1, a_2, \\ldots$, be the sequence satisfying $a_1 > 3$, $a_{2013} = 2013$, and for $n=1,2,\\ldots,2012$, $a_{n+1} = f(a_n)$. Determine the value of \\[ a_1 + \\sum_{i=1}^{2012} \\frac{a_{i+1}^3}{a_i^2 + a_ia_{i+1} + a_{i+1}^2}. \\]",
"role": "user"
}
] |
math
|
{
"ground_truth": "4025",
"style": "rule"
}
|
{
"index": 5036,
"need_tools_kwargs": true,
"question": "For reals $x \\ge 3$, let $f(x)$ denote the function \\[ f(x) = \\frac{-x + x\\sqrt{4x-3}}{2}. \\]\nLet $a_1, a_2, \\ldots$, be the sequence satisfying $a_1 > 3$, $a_{2013} = 2013$, and for $n=1,2,\\ldots,2012$, $a_{n+1} = f(a_n)$. Determine the value of \\[ a_1 + \\sum_{i=1}^{2012} \\frac{a_{i+1}^3}{a_i^2 + a_ia_{i+1} + a_{i+1}^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 both Garm Hava and Land Of Hypocrisy films have the directors from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 5037,
"need_tools_kwargs": true,
"question": "Do both Garm Hava and Land Of Hypocrisy films have the directors from the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What were the names of the two streets at the intersection where the Sydenham Hospital in New York was originally located?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "124th Street and Manhattan Avenue",
"style": "rule"
}
|
{
"index": 5038,
"need_tools_kwargs": true,
"question": "What were the names of the two streets at the intersection where the Sydenham Hospital in New York was originally located?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which film has the director who was born later, Two Paths (1954 Film) or Smashing Time?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Smashing Time",
"style": "rule"
}
|
{
"index": 5039,
"need_tools_kwargs": true,
"question": "Which film has the director who was born later, Two Paths (1954 Film) or Smashing Time?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 initial set { 5, 6, 3, 8, 4 }, determine the two smallest numbers (including non-integers and/or negative values) that must be inserted into the set such that the median value becomes precisely 10.",
"role": "user"
}
] |
math
|
{
"ground_truth": "10,",
"style": "rule"
}
|
{
"index": 5040,
"need_tools_kwargs": true,
"question": "Given the initial set { 5, 6, 3, 8, 4 }, determine the two smallest numbers (including non-integers and/or negative values) that must be inserted into the set such that the median value becomes precisely 10.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which award the composer of film Chennakesava Reddy earned?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Filmfare Awards South",
"style": "rule"
}
|
{
"index": 5041,
"need_tools_kwargs": true,
"question": "Which award the composer of film Chennakesava Reddy earned?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 head coach of 1955 Mississippi State Maroons football team born who left after 1955 college football season?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "July 6, 1924",
"style": "rule"
}
|
{
"index": 5042,
"need_tools_kwargs": true,
"question": "When was the head coach of 1955 Mississippi State Maroons football team born who left after 1955 college football season?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which country the performer of song On A Little Bamboo Bridge is from?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "America",
"style": "rule"
}
|
{
"index": 5043,
"need_tools_kwargs": true,
"question": "Which country the performer of song On A Little Bamboo Bridge is from?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the name of the member of the judging panel who crowned Reita Faria, the winner of Miss World 1966?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Lady Annabel Birley",
"style": "rule"
}
|
{
"index": 5044,
"need_tools_kwargs": true,
"question": "What is the name of the member of the judging panel who crowned Reita Faria, the winner of Miss World 1966?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who was born later, Charles M. Huber or Gábor Zacher?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Gábor Zacher",
"style": "rule"
}
|
{
"index": 5045,
"need_tools_kwargs": true,
"question": "Who was born later, Charles M. Huber or Gábor Zacher?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Consider a cyclic quadrilateral \\(ABCD\\) with diagonals intersecting at point \\(E\\). Given that the measure of angle \\(ADB\\) is \\(22.5^\\circ\\), the length of segment \\(BD\\) is \\(6\\), and the relationship \\( |AD| \\cdot |CE| = |DC| \\cdot |AE| \\) holds, determine the area of the quadrilateral \\(ABCD\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "9\\sqrt{2}",
"style": "rule"
}
|
{
"index": 5046,
"need_tools_kwargs": true,
"question": "Consider a cyclic quadrilateral \\(ABCD\\) with diagonals intersecting at point \\(E\\). Given that the measure of angle \\(ADB\\) is \\(22.5^\\circ\\), the length of segment \\(BD\\) is \\(6\\), and the relationship \\( |AD| \\cdot |CE| = |DC| \\cdot |AE| \\) holds, determine the area of the quadrilateral \\(ABCD\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is one of the state Democratic party affiliates of a different name that has a member who is president of the Saint Paul City Council?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Minnesota Democratic–Farmer–Labor Party",
"style": "rule"
}
|
{
"index": 5047,
"need_tools_kwargs": true,
"question": "What is one of the state Democratic party affiliates of a different name that has a member who is president of the Saint Paul City Council?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given an arithmetic sequence $\\{a\\_n\\}$ where all terms are positive, let $S\\_n$ denote the sum of its first $n$ terms. If $a\\_3=2$ and $S\\_4=5S\\_2$, find the values of $a\\_1$ and $S\\_4$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{15}{2}",
"style": "rule"
}
|
{
"index": 5048,
"need_tools_kwargs": true,
"question": "Given an arithmetic sequence $\\{a\\_n\\}$ where all terms are positive, let $S\\_n$ denote the sum of its first $n$ terms. If $a\\_3=2$ and $S\\_4=5S\\_2$, find the values of $a\\_1$ and $S\\_4$.",
"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": "Five dice with faces numbered 1 through 6 are arranged in a configuration where 14 of the visible faces are showing. The visible numbers are 1, 2, 3, 4, 5, 6, 2, 3, 4, 5, 6, 4, 5, 6. What is the total number of dots NOT visible in this view?",
"role": "user"
}
] |
math
|
{
"ground_truth": "49",
"style": "rule"
}
|
{
"index": 5049,
"need_tools_kwargs": true,
"question": "Five dice with faces numbered 1 through 6 are arranged in a configuration where 14 of the visible faces are showing. The visible numbers are 1, 2, 3, 4, 5, 6, 2, 3, 4, 5, 6, 4, 5, 6. What is the total number of dots NOT visible in this view?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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, The Banger Sisters and Jolly Roger: Massacre At Cutter'S Cove, from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 5050,
"need_tools_kwargs": true,
"question": "Are both movies, The Banger Sisters and Jolly Roger: Massacre At Cutter'S Cove, from the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What music video ,which made the director a two-time Grammy Award winner, amassed over 740 million views on YouTube?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "We Found Love",
"style": "rule"
}
|
{
"index": 5051,
"need_tools_kwargs": true,
"question": "What music video ,which made the director a two-time Grammy Award winner, amassed over 740 million views on YouTube?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Consider tetrahedron \\(PQRS\\) with edge lengths \\(PQ = 4\\), \\(PR = 6\\), \\(PS = 8\\), \\(QR = \\sqrt{52}\\), \\(QS = 3\\sqrt{13}\\), and \\(RS = 10\\). Calculate the volume of tetrahedron \\(PQRS\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "32",
"style": "rule"
}
|
{
"index": 5052,
"need_tools_kwargs": true,
"question": "Consider tetrahedron \\(PQRS\\) with edge lengths \\(PQ = 4\\), \\(PR = 6\\), \\(PS = 8\\), \\(QR = \\sqrt{52}\\), \\(QS = 3\\sqrt{13}\\), and \\(RS = 10\\). Calculate the volume of tetrahedron \\(PQRS\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 burial of the performer of song Early Autumn (Song)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Holy Cross Cemetery",
"style": "rule"
}
|
{
"index": 5053,
"need_tools_kwargs": true,
"question": "Where was the place of burial of the performer of song Early Autumn (Song)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of birth of Michael Cobb's wife?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "21 April 1946",
"style": "rule"
}
|
{
"index": 5054,
"need_tools_kwargs": true,
"question": "What is the date of birth of Michael Cobb's wife?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Are Pinch Creek (Loutre River) and Stolniceni (River) located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 5055,
"need_tools_kwargs": true,
"question": "Are Pinch Creek (Loutre River) and Stolniceni (River) 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": "What is the value of the expression \\(k - m - n - p\\), where \\(k = 4^0\\), \\(m = 3^1\\), \\(n = 2^2\\), and \\(p = 1^3\\)? Please find the value of \\(k + m + n + p\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "9",
"style": "rule"
}
|
{
"index": 5056,
"need_tools_kwargs": true,
"question": "What is the value of the expression \\(k - m - n - p\\), where \\(k = 4^0\\), \\(m = 3^1\\), \\(n = 2^2\\), and \\(p = 1^3\\)? Please find the value of \\(k + m + n + p\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The Apples in Stereo and SafetySuit are both what?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "rock band",
"style": "rule"
}
|
{
"index": 5057,
"need_tools_kwargs": true,
"question": "The Apples in Stereo and SafetySuit are both what?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The 2001 American science fiction film written by Richard Kelly casted what lead character?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Dr. Kenneth Monnitoff",
"style": "rule"
}
|
{
"index": 5058,
"need_tools_kwargs": true,
"question": "The 2001 American science fiction film written by Richard Kelly casted what lead character?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Dreams from My Real Father: A Story of Reds and Deception, the person who is presented as Barack Obama's biological father is born on what date?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "December 31, 1905",
"style": "rule"
}
|
{
"index": 5059,
"need_tools_kwargs": true,
"question": "In Dreams from My Real Father: A Story of Reds and Deception, the person who is presented as Barack Obama's biological father is born on what date?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Private Music signed the drummer who was part of which English group?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Beatles",
"style": "rule"
}
|
{
"index": 5060,
"need_tools_kwargs": true,
"question": "Private Music signed the drummer who was part of which English group?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given a triangle $\\triangle ABC$ with an area of $S$, and $\\overrightarrow{AB} \\cdot \\overrightarrow{AC} = S$.\n\n(I) Find the value of $\\tan 2A$;\n\n(II) If $\\cos C = \\frac{3}{5}$, and $|\\overrightarrow{AC} - \\overrightarrow{AB}| = 2$, find the area $S$ of $\\triangle ABC$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{8}{5}",
"style": "rule"
}
|
{
"index": 5061,
"need_tools_kwargs": true,
"question": "Given a triangle $\\triangle ABC$ with an area of $S$, and $\\overrightarrow{AB} \\cdot \\overrightarrow{AC} = S$.\n\n(I) Find the value of $\\tan 2A$;\n\n(II) If $\\cos C = \\frac{3}{5}$, and $|\\overrightarrow{AC} - \\overrightarrow{AB}| = 2$, find the area $S$ of $\\triangle ABC$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In a five-digit number, one of the digits was crossed out, and the resulting four-digit number was subtracted from the original number. The result was 54321. Find the original number.",
"role": "user"
}
] |
math
|
{
"ground_truth": "60356",
"style": "rule"
}
|
{
"index": 5062,
"need_tools_kwargs": true,
"question": "In a five-digit number, one of the digits was crossed out, and the resulting four-digit number was subtracted from the original number. The result was 54321. Find the original number.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A positive integer is called a \"convex number\" if, starting from the first digit (the highest place) up to a certain digit in the middle, the digits are increasingly large, and from this digit to the last digit (the units place), the digits are increasingly small (for example, 1357642 is a \"convex number\", while 7531 and 1357462 are not \"convex numbers\"). How many nine-digit \"convex numbers\" can be formed using the digits 1-9 exactly once?",
"role": "user"
}
] |
math
|
{
"ground_truth": "254",
"style": "rule"
}
|
{
"index": 5063,
"need_tools_kwargs": true,
"question": "A positive integer is called a \"convex number\" if, starting from the first digit (the highest place) up to a certain digit in the middle, the digits are increasingly large, and from this digit to the last digit (the units place), the digits are increasingly small (for example, 1357642 is a \"convex number\", while 7531 and 1357462 are not \"convex numbers\"). How many nine-digit \"convex numbers\" can be formed using the digits 1-9 exactly once?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Three identical square sheets of paper each with side length $6$ are stacked on top of each other. The middle sheet is rotated clockwise $30^\\circ$ about its center and the top sheet is rotated clockwise $60^\\circ$ about its center, resulting in the $24$-sided polygon shown in the figure below. The area of this polygon can be expressed in the form $a-b\\sqrt{c}$, where $a$, $b$, and $c$ are positive integers, and $c$ is not divisible by the square of any prime. What is the value of $a+b+c$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "147",
"style": "rule"
}
|
{
"index": 5064,
"need_tools_kwargs": true,
"question": "Three identical square sheets of paper each with side length $6$ are stacked on top of each other. The middle sheet is rotated clockwise $30^\\circ$ about its center and the top sheet is rotated clockwise $60^\\circ$ about its center, resulting in the $24$-sided polygon shown in the figure below. The area of this polygon can be expressed in the form $a-b\\sqrt{c}$, where $a$, $b$, and $c$ are positive integers, and $c$ is not divisible by the square of any prime. What is the value of $a+b+c$?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A triangular piece of paper of area $1$ is folded along a line parallel to one of the sides and pressed flat. What is the minimum possible area of the resulting figure? The original answer is in \\frac{k}{m} format, please give the value of k + m.",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
|
{
"index": 5065,
"need_tools_kwargs": true,
"question": "A triangular piece of paper of area $1$ is folded along a line parallel to one of the sides and pressed flat. What is the minimum possible area of the resulting figure? The original answer is in \\frac{k}{m} format, please give the value of k + m.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Peter is eating chips. Each chip is 10 calories. A bag has 24 chips and costs $2. If he wants to eat 480 calories, how much does he have to spend on chips?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\$4",
"style": "rule"
}
|
{
"index": 5066,
"need_tools_kwargs": true,
"question": "Peter is eating chips. Each chip is 10 calories. A bag has 24 chips and costs $2. If he wants to eat 480 calories, how much does he have to spend on chips?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Aston wants to colour exactly three of the cells in the grid shown so that the coloured grid has rotational symmetry of order two. Each of the cells in the grid is a square. In how many ways can Aston do this?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"index": 5067,
"need_tools_kwargs": true,
"question": "Aston wants to colour exactly three of the cells in the grid shown so that the coloured grid has rotational symmetry of order two. Each of the cells in the grid is a square. In how many ways can Aston do this?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 point has rectangular coordinates $(-5,-7,4)$ and spherical coordinates $(\\rho, \\theta, \\phi).$ Find the rectangular coordinates of the point with spherical coordinates $(\\rho, \\theta, -\\phi).$",
"role": "user"
}
] |
math
|
{
"ground_truth": "(5,7,4)",
"style": "rule"
}
|
{
"index": 5068,
"need_tools_kwargs": true,
"question": "A point has rectangular coordinates $(-5,-7,4)$ and spherical coordinates $(\\rho, \\theta, \\phi).$ Find the rectangular coordinates of the point with spherical coordinates $(\\rho, \\theta, -\\phi).$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What was a single released in 1959 and peaked at number 4 on the \"Billboard\" Hot 100, performed by an American country-influenced rock and roll duo, known for steel-string acoustic guitar playing and close harmony singing?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "'Till) I Kissed You",
"style": "rule"
}
|
{
"index": 5069,
"need_tools_kwargs": true,
"question": "What was a single released in 1959 and peaked at number 4 on the \"Billboard\" Hot 100, performed by an American country-influenced rock and roll duo, known for steel-string acoustic guitar playing and close harmony singing?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In rectangle \\(ABCD\\), the length of side \\(DC\\) is three times the length of side \\(CB\\). Points \\(E\\) and \\(F\\) lie on side \\(\\overline{AB}\\) such that the lines \\(\\overline{ED}\\) and \\(\\overline{FD}\\) bisect the angle \\(\\angle ADC\\). Determine the ratio of the area of triangle \\(DEF\\) to the area of rectangle \\(ABCD\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{1}{6}",
"style": "rule"
}
|
{
"index": 5070,
"need_tools_kwargs": true,
"question": "In rectangle \\(ABCD\\), the length of side \\(DC\\) is three times the length of side \\(CB\\). Points \\(E\\) and \\(F\\) lie on side \\(\\overline{AB}\\) such that the lines \\(\\overline{ED}\\) and \\(\\overline{FD}\\) bisect the angle \\(\\angle ADC\\). Determine the ratio of the area of triangle \\(DEF\\) to the area of rectangle \\(ABCD\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What year was the section of Oakland containing a shopping mall and social services hub annexed? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1909",
"style": "rule"
}
|
{
"index": 5071,
"need_tools_kwargs": true,
"question": "What year was the section of Oakland containing a shopping mall and social services hub annexed? ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Wild Blood (2008 Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1 October 1950",
"style": "rule"
}
|
{
"index": 5072,
"need_tools_kwargs": true,
"question": "What is the date of birth of the director of film Wild Blood (2008 Film)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The OFAB-100-120 is a bomb that can be carried on what twin-engine jetcraft?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Sukhoi Su-25",
"style": "rule"
}
|
{
"index": 5073,
"need_tools_kwargs": true,
"question": "The OFAB-100-120 is a bomb that can be carried on what twin-engine jetcraft?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 bag contains two red beads and two green beads. You reach into the bag and pull out a bead, replacing it with a red bead regardless of the color you pulled out. What is the probability that all beads in the bag are red after three such replacements? Express your answer as a common fraction.The answer is in the form \frac{m}{n}, where gcd(m, n) = 1. Please provide the value of m + n.",
"role": "user"
}
] |
math
|
{
"ground_truth": "41",
"style": "rule"
}
|
{
"index": 5074,
"need_tools_kwargs": true,
"question": "A bag contains two red beads and two green beads. You reach into the bag and pull out a bead, replacing it with a red bead regardless of the color you pulled out. What is the probability that all beads in the bag are red after three such replacements? Express your answer as a common fraction.The answer is in the form \frac{m}{n}, where gcd(m, n) = 1. Please provide the value of m + n.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When did the director of film Yield To The Night die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "30 August 2002",
"style": "rule"
}
|
{
"index": 5075,
"need_tools_kwargs": true,
"question": "When did the director of film Yield To The Night 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 nationality is the director of film Sick Abed?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American",
"style": "rule"
}
|
{
"index": 5076,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Sick Abed?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "During a performance, a panda named A Bao is performing on stilts. A Bao's height accounts for $\\frac{1}{4}$ of the total height when he is standing on the stilts. During the performance, A Bao accidentally breaks $20$ dm off each stilt. After the break, A Bao's height accounts for $\\frac{1}{3}$ of the new total height. What was the initial total height of A Bao and the stilts in dm?",
"role": "user"
}
] |
math
|
{
"ground_truth": "160",
"style": "rule"
}
|
{
"index": 5077,
"need_tools_kwargs": true,
"question": "During a performance, a panda named A Bao is performing on stilts. A Bao's height accounts for $\\frac{1}{4}$ of the total height when he is standing on the stilts. During the performance, A Bao accidentally breaks $20$ dm off each stilt. After the break, A Bao's height accounts for $\\frac{1}{3}$ of the new total height. What was the initial total height of A Bao and the stilts in dm?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 domain of the real-valued function $$f(x)=\\sqrt{-10x^2-11x+6}.$$ Give the endpoints in your answer as common fractions, not mixed numbers or decimals.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\left[ -\\frac{3}{2}, \\frac{2}{5} \\right]",
"style": "rule"
}
|
{
"index": 5078,
"need_tools_kwargs": true,
"question": "Find the domain of the real-valued function $$f(x)=\\sqrt{-10x^2-11x+6}.$$ Give the endpoints in your answer as common fractions, not mixed numbers or decimals.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 cousin of a five-time NBA All-Star in the San Antonio Spurs plays for which Major League Soccer team?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Colorado Rapids",
"style": "rule"
}
|
{
"index": 5079,
"need_tools_kwargs": true,
"question": "The cousin of a five-time NBA All-Star in the San Antonio Spurs plays for which Major League Soccer team?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $\\angle P = 50^\\circ$, $\\angle Q = 60^\\circ$, and $\\angle R = 40^\\circ$, determine the measure of the angle $\\angle SRT$ in the geometric configuration involving points $P$, $Q$, $R$, $S$, and $T$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "30",
"style": "rule"
}
|
{
"index": 5080,
"need_tools_kwargs": true,
"question": "Given that $\\angle P = 50^\\circ$, $\\angle Q = 60^\\circ$, and $\\angle R = 40^\\circ$, determine the measure of the angle $\\angle SRT$ in the geometric configuration involving points $P$, $Q$, $R$, $S$, and $T$.",
"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": "The strictly positive sequence \\(\\{a_{n}\\}\\) satisfies\n\\[ \n\\frac{1}{a_{n} a_{n+1}}+\\frac{1}{a_{n} a_{n+2}}+\\frac{1}{a_{n+1} a_{n+2}}=1, \\quad (n \\in \\mathbf{Z}_{+})\n\\]\nand \n\\[ \na_{1}+a_{3}=6.\n\\]\nThe terms \\(a_{1}, a_{2}, a_{3}\\) are monotonically increasing and form a geometric sequence. If \\(S_{n}\\) is the sum of the first \\(n\\) terms of \\(\\left\\{a_{n}\\right\\}\\), then the value of \\(\\left[S_{2014}\\right]\\) is ( ) (\\([x]\\) denotes the greatest integer less than or equal to \\(x\\)).\n(A) 5368\n(B) 5367\n(C) 5363\n(D) 5362",
"role": "user"
}
] |
math
|
{
"ground_truth": "5368",
"style": "rule"
}
|
{
"index": 5081,
"need_tools_kwargs": true,
"question": "The strictly positive sequence \\(\\{a_{n}\\}\\) satisfies\n\\[ \n\\frac{1}{a_{n} a_{n+1}}+\\frac{1}{a_{n} a_{n+2}}+\\frac{1}{a_{n+1} a_{n+2}}=1, \\quad (n \\in \\mathbf{Z}_{+})\n\\]\nand \n\\[ \na_{1}+a_{3}=6.\n\\]\nThe terms \\(a_{1}, a_{2}, a_{3}\\) are monotonically increasing and form a geometric sequence. If \\(S_{n}\\) is the sum of the first \\(n\\) terms of \\(\\left\\{a_{n}\\right\\}\\), then the value of \\(\\left[S_{2014}\\right]\\) is ( ) (\\([x]\\) denotes the greatest integer less than or equal to \\(x\\)).\n(A) 5368\n(B) 5367\n(C) 5363\n(D) 5362",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 of the following sets could NOT be the lengths of the external diagonals of a right rectangular prism [a \"box\"]? (An *external diagonal* is a diagonal of one of the rectangular faces of the box.) $ \\textbf{(A)}\\ \\{4, 5, 6\\} \\qquad\\textbf{(B)}\\ \\{4, 5, 7\\} \\qquad\\textbf{(C)}\\ \\{4, 6, 7\\} \\qquad\\textbf{(D)}\\ \\{5, 6, 7\\} \\qquad\\textbf{(E)}\\ \\{5, 7, 8\\} $ ",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\{4, 5, 7\\}",
"style": "rule"
}
|
{
"index": 5082,
"need_tools_kwargs": true,
"question": "Which of the following sets could NOT be the lengths of the external diagonals of a right rectangular prism [a \"box\"]? (An *external diagonal* is a diagonal of one of the rectangular faces of the box.) $ \\textbf{(A)}\\ \\{4, 5, 6\\} \\qquad\\textbf{(B)}\\ \\{4, 5, 7\\} \\qquad\\textbf{(C)}\\ \\{4, 6, 7\\} \\qquad\\textbf{(D)}\\ \\{5, 6, 7\\} \\qquad\\textbf{(E)}\\ \\{5, 7, 8\\} $ ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 meadow, ladybugs have gathered. If a ladybug has 6 spots on its back, it always tells the truth; if it has 4 spots, it always lies. There were no other types of ladybugs in the meadow. The first ladybug said, \"Each of us has the same number of spots on our backs.\" The second said, \"Altogether, we have 30 spots on our backs.\" The third countered, \"No, altogether we have 26 spots on our backs.\" Each of the remaining ladybugs declared, \"Exactly one of the three statements is true.\" How many ladybugs are in the meadow in total?",
"role": "user"
}
] |
math
|
{
"ground_truth": "5",
"style": "rule"
}
|
{
"index": 5083,
"need_tools_kwargs": true,
"question": "In a meadow, ladybugs have gathered. If a ladybug has 6 spots on its back, it always tells the truth; if it has 4 spots, it always lies. There were no other types of ladybugs in the meadow. The first ladybug said, \"Each of us has the same number of spots on our backs.\" The second said, \"Altogether, we have 30 spots on our backs.\" The third countered, \"No, altogether we have 26 spots on our backs.\" Each of the remaining ladybugs declared, \"Exactly one of the three statements is true.\" How many ladybugs are in the meadow in total?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "An underground line has $26$ stops, including the first and the final one, and all the stops are numbered from $1$ to $26$ according to their order. Inside the train, for each pair $(x,y)$ with $1 \\leq x < y \\leq 26$, there is exactly one passenger that goes from the $x$-th stop to the $y$-th one. If every passenger wants to take a seat during his journey, find the minimum number of seats that must be available on the train.",
"role": "user"
}
] |
math
|
{
"ground_truth": "169",
"style": "rule"
}
|
{
"index": 5084,
"need_tools_kwargs": true,
"question": "An underground line has $26$ stops, including the first and the final one, and all the stops are numbered from $1$ to $26$ according to their order. Inside the train, for each pair $(x,y)$ with $1 \\leq x < y \\leq 26$, there is exactly one passenger that goes from the $x$-th stop to the $y$-th one. If every passenger wants to take a seat during his journey, find the minimum number of seats that must be available on the train.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Thomas Uva and Rosemarie Uva, were married ex-cons from Ozone Park, Queens and considered a modern-day \"Bonnie and Clyde\", were American criminals who traveled the central United States with their gang during which time period, robbing people and killing when cornered or confronted?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Great Depression",
"style": "rule"
}
|
{
"index": 5085,
"need_tools_kwargs": true,
"question": "Thomas Uva and Rosemarie Uva, were married ex-cons from Ozone Park, Queens and considered a modern-day \"Bonnie and Clyde\", were American criminals who traveled the central United States with their gang during which time period, robbing people and killing when cornered or confronted?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Solve for the product of all positive real roots of the equation $x^{\\log_{5}{x}} = 25$.\nA) $25$\nB) $5^{\\sqrt{2}}$\nC) $10$\nD) $5$\nE) None of these",
"role": "user"
}
] |
math
|
{
"ground_truth": "25",
"style": "rule"
}
|
{
"index": 5086,
"need_tools_kwargs": true,
"question": "Solve for the product of all positive real roots of the equation $x^{\\log_{5}{x}} = 25$.\nA) $25$\nB) $5^{\\sqrt{2}}$\nC) $10$\nD) $5$\nE) None of these",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In the figure, $m\\angle A = 28^{\\circ}$, $m\\angle B = 74^\\circ$ and $m\\angle C = 26^{\\circ}$. If $x$ and $y$ are the measures of the angles in which they are shown, what is the value of $x + y$? [asy]\nsize(150);\ndraw((0,5)--(0,0)--(15,0)--(15,5),linewidth(1));\ndraw((0,5)--(2,2)--(5,5)--(12,-2)--(15,5),linewidth(.7));\nlabel(\"A\",(0,5),N);\ndraw(\"B\",(5,5),N);\ndraw(\"C\",(15,5),N);\ndraw(\"$x^{\\circ}$\",(2.5,2.5),N);\ndraw(\"$y^{\\circ}$\",(12,-2),N);\ndraw((0,.5)--(.5,.5)--(.5,0),linewidth(.7));\ndraw((15,.5)--(14.5,.5)--(14.5,0),linewidth(.7));\n\n[/asy]",
"role": "user"
}
] |
math
|
{
"ground_truth": "128",
"style": "rule"
}
|
{
"index": 5087,
"need_tools_kwargs": true,
"question": "In the figure, $m\\angle A = 28^{\\circ}$, $m\\angle B = 74^\\circ$ and $m\\angle C = 26^{\\circ}$. If $x$ and $y$ are the measures of the angles in which they are shown, what is the value of $x + y$? [asy]\nsize(150);\ndraw((0,5)--(0,0)--(15,0)--(15,5),linewidth(1));\ndraw((0,5)--(2,2)--(5,5)--(12,-2)--(15,5),linewidth(.7));\nlabel(\"A\",(0,5),N);\ndraw(\"B\",(5,5),N);\ndraw(\"C\",(15,5),N);\ndraw(\"$x^{\\circ}$\",(2.5,2.5),N);\ndraw(\"$y^{\\circ}$\",(12,-2),N);\ndraw((0,.5)--(.5,.5)--(.5,0),linewidth(.7));\ndraw((15,.5)--(14.5,.5)--(14.5,0),linewidth(.7));\n\n[/asy]",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What coach during the 2014-15 NCAA Division 1 men's basketball season saw one of his players go on to play for the Atlanta Hawks?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Mike Krzyzewski",
"style": "rule"
}
|
{
"index": 5088,
"need_tools_kwargs": true,
"question": "What coach during the 2014-15 NCAA Division 1 men's basketball season saw one of his players go on to play for the Atlanta Hawks?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Circles $\\mathcal{C}_1, \\mathcal{C}_2,$ and $\\mathcal{C}_3$ have their centers at (0,0), (12,0), and (24,0), and have radii 1, 2, and 4, respectively. Line $t_1$ is a common internal tangent to $\\mathcal{C}_1$ and $\\mathcal{C}_2$ and has a positive slope, and line $t_2$ is a common internal tangent to $\\mathcal{C}_2$ and $\\mathcal{C}_3$ and has a negative slope. Given that lines $t_1$ and $t_2$ intersect at $(x,y),$ and that $x=p-q\\sqrt{r},$ where $p, q,$ and $r$ are positive integers and $r$ is not divisible by the square of any prime, find $p+q+r.$",
"role": "user"
}
] |
math
|
{
"ground_truth": "27",
"style": "rule"
}
|
{
"index": 5089,
"need_tools_kwargs": true,
"question": "Circles $\\mathcal{C}_1, \\mathcal{C}_2,$ and $\\mathcal{C}_3$ have their centers at (0,0), (12,0), and (24,0), and have radii 1, 2, and 4, respectively. Line $t_1$ is a common internal tangent to $\\mathcal{C}_1$ and $\\mathcal{C}_2$ and has a positive slope, and line $t_2$ is a common internal tangent to $\\mathcal{C}_2$ and $\\mathcal{C}_3$ and has a negative slope. Given that lines $t_1$ and $t_2$ intersect at $(x,y),$ and that $x=p-q\\sqrt{r},$ where $p, q,$ and $r$ are positive integers and $r$ is not divisible by the square of any prime, find $p+q+r.$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Josephine Brown's father die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "November 6, 1884",
"style": "rule"
}
|
{
"index": 5090,
"need_tools_kwargs": true,
"question": "When did Josephine Brown'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": "On the base AC of an isosceles triangle ABC, point E is taken, and on the sides AB and BC, points K and M are taken such that KE is parallel to BC and EM is parallel to AB. What fraction of the area of triangle ABC does the area of triangle KEM occupy if BM:ME = 2:3?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{6}{25}",
"style": "rule"
}
|
{
"index": 5091,
"need_tools_kwargs": true,
"question": "On the base AC of an isosceles triangle ABC, point E is taken, and on the sides AB and BC, points K and M are taken such that KE is parallel to BC and EM is parallel to AB. What fraction of the area of triangle ABC does the area of triangle KEM occupy if BM:ME = 2:3?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A train of a certain length takes 26.997840172786177 seconds to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr. How long is the train?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1349.89",
"style": "rule"
}
|
{
"index": 5092,
"need_tools_kwargs": true,
"question": "A train of a certain length takes 26.997840172786177 seconds to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr. How long is the train?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Luck of the Corpse has cover art from the film directed by whom?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Mario Bava",
"style": "rule"
}
|
{
"index": 5093,
"need_tools_kwargs": true,
"question": "Luck of the Corpse has cover art from the film directed by whom?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When is Ferdinand Ii, Archduke Of Austria's father's birthday?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "10 March 1503",
"style": "rule"
}
|
{
"index": 5094,
"need_tools_kwargs": true,
"question": "When is Ferdinand Ii, Archduke Of Austria's father's birthday?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Gentle Giant stars an actor born on November 21, 1920 who died in what year?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1988",
"style": "rule"
}
|
{
"index": 5095,
"need_tools_kwargs": true,
"question": "Gentle Giant stars an actor born on November 21, 1920 who died in what year?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Compute the value of \\[ N = 120^2 + 119^2 + 118^2 - 117^2 - 116^2 - 115^2 + \\cdots + 6^2 + 5^2 + 4^2 - 3^2 - 2^2 - 1^2, \\]\nwhere the additions and subtractions alternate in groups of three.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2250",
"style": "rule"
}
|
{
"index": 5096,
"need_tools_kwargs": true,
"question": "Compute the value of \\[ N = 120^2 + 119^2 + 118^2 - 117^2 - 116^2 - 115^2 + \\cdots + 6^2 + 5^2 + 4^2 - 3^2 - 2^2 - 1^2, \\]\nwhere the additions and subtractions alternate in groups of three.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Square $ABCD$ has side length $30$. Point $P$ lies inside the square such that $AP = 12$ and $BP = 26$. The centroids of $\\triangle{ABP}$, $\\triangle{BCP}$, $\\triangle{CDP}$, and $\\triangle{DAP}$ are the vertices of a convex quadrilateral. What is the area of that quadrilateral?",
"role": "user"
}
] |
math
|
{
"ground_truth": "200",
"style": "rule"
}
|
{
"index": 5097,
"need_tools_kwargs": true,
"question": "Square $ABCD$ has side length $30$. Point $P$ lies inside the square such that $AP = 12$ and $BP = 26$. The centroids of $\\triangle{ABP}$, $\\triangle{BCP}$, $\\triangle{CDP}$, and $\\triangle{DAP}$ are the vertices of a convex quadrilateral. What is the area of that quadrilateral?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which country the director of film The Splendid Romance is from?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Belgian",
"style": "rule"
}
|
{
"index": 5098,
"need_tools_kwargs": true,
"question": "Which country the director of film The Splendid Romance is from?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What nationality is the director of film Passions (1984 Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Canadian",
"style": "rule"
}
|
{
"index": 5099,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Passions (1984 Film)?",
"split": "train"
}
| null |
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