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": "If p, some digit, and r are distinct positive digits and the product of the two-digit integers pq and pr is 221, then the sum of the digits p, this digit, and r is 11. What is the digit?",
"role": "user"
}
] |
math
|
{
"ground_truth": "7",
"style": "rule"
}
|
{
"index": 4900,
"need_tools_kwargs": true,
"question": "If p, some digit, and r are distinct positive digits and the product of the two-digit integers pq and pr is 221, then the sum of the digits p, this digit, and r is 11. What is the digit?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Triangle $A B C$ has $A B=1, B C=\\sqrt{7}$, and $C A=\\sqrt{3}$. Let $\\ell_{1}$ be the line through $A$ perpendicular to $A B, \\ell_{2}$ the line through $B$ perpendicular to $A C$, and $P$ the point of intersection of $\\ell_{1}$ and $\\ell_{2}$. Find $P C$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 4901,
"need_tools_kwargs": true,
"question": "Triangle $A B C$ has $A B=1, B C=\\sqrt{7}$, and $C A=\\sqrt{3}$. Let $\\ell_{1}$ be the line through $A$ perpendicular to $A B, \\ell_{2}$ the line through $B$ perpendicular to $A C$, and $P$ the point of intersection of $\\ell_{1}$ and $\\ell_{2}$. Find $P C$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What was the video game mentioned in a Nintendo news and strategy magazine scheduled for USA release but canceled?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Lost Mission",
"style": "rule"
}
|
{
"index": 4902,
"need_tools_kwargs": true,
"question": "What was the video game mentioned in a Nintendo news and strategy magazine scheduled for USA release but canceled?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 developed the game which Folkenstal features weapons and armors in a cosplay? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "ZeniMax Online Studios",
"style": "rule"
}
|
{
"index": 4903,
"need_tools_kwargs": true,
"question": "Who developed the game which Folkenstal features weapons and armors in a cosplay? ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In right triangle $DEF$, where $DE = 15$, $DF = 9$, and $EF = 12$ units, how far is point $F$ from the midpoint of segment $DE$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "7.5",
"style": "rule"
}
|
{
"index": 4904,
"need_tools_kwargs": true,
"question": "In right triangle $DEF$, where $DE = 15$, $DF = 9$, and $EF = 12$ units, how far is point $F$ from the midpoint of segment $DE$?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who is featured on the second single from the eleventh album by Gucci Mane?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Chris Brown",
"style": "rule"
}
|
{
"index": 4905,
"need_tools_kwargs": true,
"question": "Who is featured on the second single from the eleventh album by Gucci Mane?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Ealdwood Stories was written by the American writer in what genre?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "speculative fiction",
"style": "rule"
}
|
{
"index": 4906,
"need_tools_kwargs": true,
"question": "Ealdwood Stories was written by the American writer in what genre?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 performer of song Let It Rock (Chuck Berry Song) graduate from?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Sumner High School",
"style": "rule"
}
|
{
"index": 4907,
"need_tools_kwargs": true,
"question": "Where did the performer of song Let It Rock (Chuck Berry Song) 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": "Let $d(n)$ be the number of positive integers that divide the integer $n$. For all positive integral divisors $k$ of $64800$, find the sum of numbers $d(k)$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "1890",
"style": "rule"
}
|
{
"index": 4908,
"need_tools_kwargs": true,
"question": "Let $d(n)$ be the number of positive integers that divide the integer $n$. For all positive integral divisors $k$ of $64800$, find the sum of numbers $d(k)$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When is Elsie Bambridge's father's birthday?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "30 December 1865",
"style": "rule"
}
|
{
"index": 4909,
"need_tools_kwargs": true,
"question": "When is Elsie Bambridge'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": "How is Suits connected with Gabriel Macht? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "USA Network series \"Suits\"",
"style": "rule"
}
|
{
"index": 4910,
"need_tools_kwargs": true,
"question": "How is Suits connected with Gabriel Macht? ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $S$ be the set of integers which are both a multiple of $70$ and a factor of $630,000$. A random element $c$ of $S$ is selected. If the probability that there exists an integer $d$ with $\\gcd(c, d) = 70$ and $\\operatorname{lcm}(c, d) = 630,000$ is $\\frac{m}{n}$ for some relatively prime integers $m$ and $n$, compute $100m + n$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "106",
"style": "rule"
}
|
{
"index": 4911,
"need_tools_kwargs": true,
"question": "Let $S$ be the set of integers which are both a multiple of $70$ and a factor of $630,000$. A random element $c$ of $S$ is selected. If the probability that there exists an integer $d$ with $\\gcd(c, d) = 70$ and $\\operatorname{lcm}(c, d) = 630,000$ is $\\frac{m}{n}$ for some relatively prime integers $m$ and $n$, compute $100m + n$.",
"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": "Do both directors of films Duffy Of San Quentin and Bingo Bongo share the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 4912,
"need_tools_kwargs": true,
"question": "Do both directors of films Duffy Of San Quentin and Bingo Bongo share the same nationality?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "You are standing at a pole and a snail is moving directly away from the pole at 1 cm/s. When the snail is 1 meter away, you start \"Round 1\". In Round \\( n (n \\geq 1) \\), you move directly toward the snail at \\( n+1 \\) cm/s. When you reach the snail, you immediately turn around and move back to the starting pole at \\( n+1 \\) cm/s. When you reach the pole, you immediately turn around and Round \\( n+1 \\) begins. At the start of Round 100, how many meters away is the snail?",
"role": "user"
}
] |
math
|
{
"ground_truth": "5050",
"style": "rule"
}
|
{
"index": 4913,
"need_tools_kwargs": true,
"question": "You are standing at a pole and a snail is moving directly away from the pole at 1 cm/s. When the snail is 1 meter away, you start \"Round 1\". In Round \\( n (n \\geq 1) \\), you move directly toward the snail at \\( n+1 \\) cm/s. When you reach the snail, you immediately turn around and move back to the starting pole at \\( n+1 \\) cm/s. When you reach the pole, you immediately turn around and Round \\( n+1 \\) begins. At the start of Round 100, how many meters away is the snail?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 came out earlier, Empire Of Ash Iii or 30 Minutes (Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Empire Of Ash Iii",
"style": "rule"
}
|
{
"index": 4914,
"need_tools_kwargs": true,
"question": "Which film came out earlier, Empire Of Ash Iii or 30 Minutes (Film)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who is the father of the director of film Shanti Kranti (1991 Telugu Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "N. Veeraswamy",
"style": "rule"
}
|
{
"index": 4915,
"need_tools_kwargs": true,
"question": "Who is the father of the director of film Shanti Kranti (1991 Telugu Film)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Are both villages, Baba Eskandar and Cadgwith, located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 4916,
"need_tools_kwargs": true,
"question": "Are both villages, Baba Eskandar and Cadgwith, 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": "Andrei thought of 4 whole numbers and told Vanya all their pairwise sums. Vanya remembered exactly 4 of them: $0, 3, 6,$ and $18$. For the two remaining sums, Vanya only remembered that they were two-digit natural numbers. What numbers did Andrei think of?",
"role": "user"
}
] |
math
|
{
"ground_truth": "-6, \\, 6, \\, 9, \\, 12",
"style": "rule"
}
|
{
"index": 4917,
"need_tools_kwargs": true,
"question": "Andrei thought of 4 whole numbers and told Vanya all their pairwise sums. Vanya remembered exactly 4 of them: $0, 3, 6,$ and $18$. For the two remaining sums, Vanya only remembered that they were two-digit natural numbers. What numbers did Andrei think of?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A regular 12-gon is inscribed in a circle of radius 12. The sum of the lengths of all sides and diagonals of the 12-gon can be written in the form\n\\[a + b \\sqrt{2} + c \\sqrt{3} + d \\sqrt{6},\\]where $a$, $b$, $c$, and $d$ are positive integers. Find $a+b+c+d$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "720",
"style": "rule"
}
|
{
"index": 4918,
"need_tools_kwargs": true,
"question": "A regular 12-gon is inscribed in a circle of radius 12. The sum of the lengths of all sides and diagonals of the 12-gon can be written in the form\n\\[a + b \\sqrt{2} + c \\sqrt{3} + d \\sqrt{6},\\]where $a$, $b$, $c$, and $d$ are positive integers. Find $a+b+c+d$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A company gathered at a meeting. Let's call a person sociable if, in this company, they have at least 20 acquaintances, with at least two of those acquaintances knowing each other. Let's call a person shy if, in this company, they have at least 20 non-acquaintances, with at least two of those non-acquaintances not knowing each other. It turned out that in the gathered company, there are neither sociable nor shy people. What is the maximum number of people that can be in this company?",
"role": "user"
}
] |
math
|
{
"ground_truth": "40",
"style": "rule"
}
|
{
"index": 4919,
"need_tools_kwargs": true,
"question": "A company gathered at a meeting. Let's call a person sociable if, in this company, they have at least 20 acquaintances, with at least two of those acquaintances knowing each other. Let's call a person shy if, in this company, they have at least 20 non-acquaintances, with at least two of those non-acquaintances not knowing each other. It turned out that in the gathered company, there are neither sociable nor shy people. What is the maximum number of people that can be in this company?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 triangle $ABC$ where $AB = AC = 15$ and $BC = 18$. Points $D$ and $E$ are chosen on $CA$ and $CB$, respectively, such that $CD = 5$ and $CE = 3$. The point $F$ is chosen on the half-line $\\overrightarrow{DE}$ so that $EF = 8$. If $M$ is the midpoint of $AB$ and $N$ is the intersection of $FM$ and $BC$, what is the length of $CN$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "9",
"style": "rule"
}
|
{
"index": 4920,
"need_tools_kwargs": true,
"question": "Consider a triangle $ABC$ where $AB = AC = 15$ and $BC = 18$. Points $D$ and $E$ are chosen on $CA$ and $CB$, respectively, such that $CD = 5$ and $CE = 3$. The point $F$ is chosen on the half-line $\\overrightarrow{DE}$ so that $EF = 8$. If $M$ is the midpoint of $AB$ and $N$ is the intersection of $FM$ and $BC$, what is the length of $CN$?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 English woman born on 26 May 1957 was Gitta Sereny, CBE known for interview and and profiles of controversial figures of",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Mary Flora Bell",
"style": "rule"
}
|
{
"index": 4921,
"need_tools_kwargs": true,
"question": "Which English woman born on 26 May 1957 was Gitta Sereny, CBE known for interview and and profiles of controversial figures of",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "For all \\( m \\) and \\( n \\) satisfying \\( 1 \\leq n \\leq m \\leq 5 \\), how many different hyperbolas are represented by the polar equation \\(\\rho=\\frac{1}{1-C_{m}^{n} \\cos \\theta}\\)?\n\nA. 15 \nB. 10 \nC. 7 \nD. 6",
"role": "user"
}
] |
math
|
{
"ground_truth": "7",
"style": "rule"
}
|
{
"index": 4922,
"need_tools_kwargs": true,
"question": "For all \\( m \\) and \\( n \\) satisfying \\( 1 \\leq n \\leq m \\leq 5 \\), how many different hyperbolas are represented by the polar equation \\(\\rho=\\frac{1}{1-C_{m}^{n} \\cos \\theta}\\)?\n\nA. 15 \nB. 10 \nC. 7 \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": "What year was the prison holding one of the two arrestees in the 18 September 2014 counter-terrorism raid opened?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "2001",
"style": "rule"
}
|
{
"index": 4923,
"need_tools_kwargs": true,
"question": "What year was the prison holding one of the two arrestees in the 18 September 2014 counter-terrorism raid opened?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 box has integer side lengths in the ratio $1: 3: 4$. Which of the following could be the volume of the box?\n$\\textbf{(A)}\\ 48\\qquad\\textbf{(B)}\\ 56\\qquad\\textbf{(C)}\\ 64\\qquad\\textbf{(D)}\\ 96\\qquad\\textbf{(E)}\\ 144$",
"role": "user"
}
] |
math
|
{
"ground_truth": "96",
"style": "rule"
}
|
{
"index": 4924,
"need_tools_kwargs": true,
"question": "A rectangular box has integer side lengths in the ratio $1: 3: 4$. Which of the following could be the volume of the box?\n$\\textbf{(A)}\\ 48\\qquad\\textbf{(B)}\\ 56\\qquad\\textbf{(C)}\\ 64\\qquad\\textbf{(D)}\\ 96\\qquad\\textbf{(E)}\\ 144$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Dan spent $ 11.76 on a snake toy , and a cage cost him $ 14.54 . Dan also found a dollar bill on the ground. The total cost of Dan 's purchases was _____ .",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\$25.30",
"style": "rule"
}
|
{
"index": 4925,
"need_tools_kwargs": true,
"question": "Dan spent $ 11.76 on a snake toy , and a cage cost him $ 14.54 . Dan also found a dollar bill on the ground. The total cost of Dan 's purchases was _____ .",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "How many Primetime Emmy Awards did the actor, who starred with Dan Aykroyd, and Donna Dixon in Spies Like Us, earn ?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "three",
"style": "rule"
}
|
{
"index": 4926,
"need_tools_kwargs": true,
"question": "How many Primetime Emmy Awards did the actor, who starred with Dan Aykroyd, and Donna Dixon in Spies Like Us, earn ?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $\\sum_{n=1}^\\infty\\left(\\frac{n}{(2^n+2^{-n})^2}+\\frac{(-1)^n n}{(2^n-2^{-n})^2}\\right)$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "0",
"style": "rule"
}
|
{
"index": 4927,
"need_tools_kwargs": true,
"question": "Find $\\sum_{n=1}^\\infty\\left(\\frac{n}{(2^n+2^{-n})^2}+\\frac{(-1)^n n}{(2^n-2^{-n})^2}\\right)$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Dan Bejar and Stacey McClean, are both artists, what is their occupation?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "singer",
"style": "rule"
}
|
{
"index": 4928,
"need_tools_kwargs": true,
"question": "Dan Bejar and Stacey McClean, are both artists, what is their occupation?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Determine how many ordered pairs \\((a, b)\\) of positive integers satisfy the equation \n\\[\n2a\\cdot b + 108 = 15\\cdot \\text{lcm}(a, b) + 18\\cdot\\text{gcd}(a,b).\n\\]\nExplain your reasoning and show all necessary steps to arrive at your answer.",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
|
{
"index": 4929,
"need_tools_kwargs": true,
"question": "Determine how many ordered pairs \\((a, b)\\) of positive integers satisfy the equation \n\\[\n2a\\cdot b + 108 = 15\\cdot \\text{lcm}(a, b) + 18\\cdot\\text{gcd}(a,b).\n\\]\nExplain your reasoning and show all necessary steps to arrive at your answer.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "求最小的正整数 n，使得\\sqrt{\\df{n-2011}{2012}}-\\sqrt{\\df{n-2012}{2011}}<\\sqrt[3]{\\df{n-2013}{2011}}-\\sqrt[3]{\\df{n-2011}{2013}}.",
"role": "user"
}
] |
math
|
{
"ground_truth": "4024",
"style": "rule"
}
|
{
"index": 4930,
"need_tools_kwargs": true,
"question": "求最小的正整数 n，使得\\sqrt{\\df{n-2011}{2012}}-\\sqrt{\\df{n-2012}{2011}}<\\sqrt[3]{\\df{n-2013}{2011}}-\\sqrt[3]{\\df{n-2011}{2013}}.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let \\( x \\) and \\( y \\) be real numbers satisfying the following system of equations:\n\\[\n\\begin{cases}\nx^{3} - 3x^{2} + 2000x = 1997, \\\\\ny^{3} - 3y^{2} + 2000y = 1999\n\\end{cases}\n\\]\nWhat is \\( x + y \\)?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2.0",
"style": "rule"
}
|
{
"index": 4931,
"need_tools_kwargs": true,
"question": "Let \\( x \\) and \\( y \\) be real numbers satisfying the following system of equations:\n\\[\n\\begin{cases}\nx^{3} - 3x^{2} + 2000x = 1997, \\\\\ny^{3} - 3y^{2} + 2000y = 1999\n\\end{cases}\n\\]\nWhat is \\( x + y \\)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which film was released earlier, Leave It To Blanche or Queen And Country (Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Leave It To Blanche",
"style": "rule"
}
|
{
"index": 4932,
"need_tools_kwargs": true,
"question": "Which film was released earlier, Leave It To Blanche or Queen And Country (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": "Which magazine maintains the ranking of fighters in the weight class which Joanna Jędrzejczyk competes within?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "The Ring",
"style": "rule"
}
|
{
"index": 4933,
"need_tools_kwargs": true,
"question": "Which magazine maintains the ranking of fighters in the weight class which Joanna Jędrzejczyk competes within?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Simplify and solve the equation: \\( 27 \\cdot 2^{-3x} + 9 \\cdot 2^{x} - 2^{3x} - 27 \\cdot 2^{-x} = 8 \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "0",
"style": "rule"
}
|
{
"index": 4934,
"need_tools_kwargs": true,
"question": "Simplify and solve the equation: \\( 27 \\cdot 2^{-3x} + 9 \\cdot 2^{x} - 2^{3x} - 27 \\cdot 2^{-x} = 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": "Which country the director of film Convicts 4 is from?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American",
"style": "rule"
}
|
{
"index": 4935,
"need_tools_kwargs": true,
"question": "Which country the director of film Convicts 4 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": "Find the maximum number of permutations of the set $\\{1, 2, 3, \\ldots, 2014\\}$ such that for every two different numbers $a$ and $b$ in this set, there exists at least one permutation where $b$ comes immediately after $a$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2014",
"style": "rule"
}
|
{
"index": 4936,
"need_tools_kwargs": true,
"question": "Find the maximum number of permutations of the set $\\{1, 2, 3, \\ldots, 2014\\}$ such that for every two different numbers $a$ and $b$ in this set, there exists at least one permutation where $b$ comes immediately after $a$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Do both films Babette Bomberling and Cleaner (Film) have the directors that share the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 4937,
"need_tools_kwargs": true,
"question": "Do both films Babette Bomberling and Cleaner (Film) have the directors that share the same nationality?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let \\( a \\star b = ab + a + b \\) for all integers \\( a \\) and \\( b \\). Evaluate \\( 1 \\star (2 \\star (3 \\star (4 \\star \\ldots (99 \\star 100) \\ldots ))) \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "101!-1",
"style": "rule"
}
|
{
"index": 4938,
"need_tools_kwargs": true,
"question": "Let \\( a \\star b = ab + a + b \\) for all integers \\( a \\) and \\( b \\). Evaluate \\( 1 \\star (2 \\star (3 \\star (4 \\star \\ldots (99 \\star 100) \\ldots ))) \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 population according to the 2010 census of the town the Connor-Bovie House is located?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "6,735",
"style": "rule"
}
|
{
"index": 4939,
"need_tools_kwargs": true,
"question": "What is the population according to the 2010 census of the town the Connor-Bovie House is located?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When did the person that Pavel Belyayev traveled with conduct extravehicular activity in space?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "18 March 1965",
"style": "rule"
}
|
{
"index": 4940,
"need_tools_kwargs": true,
"question": "When did the person that Pavel Belyayev traveled with conduct extravehicular activity in space?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Do both films: Whispering Smith and Unakkaga Piranthen have the directors from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 4941,
"need_tools_kwargs": true,
"question": "Do both films: Whispering Smith and Unakkaga Piranthen 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": "Which film was released first, Tahalka or Voice Of My Father?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Tahalka",
"style": "rule"
}
|
{
"index": 4942,
"need_tools_kwargs": true,
"question": "Which film was released first, Tahalka or Voice Of My Father?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the English translation of the title of the painting for which Marcel Baschet won the 1883 Grand Prix de Rome?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Oedipus curses his son Polynices.",
"style": "rule"
}
|
{
"index": 4943,
"need_tools_kwargs": true,
"question": "What is the English translation of the title of the painting for which Marcel Baschet won the 1883 Grand Prix de Rome?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Of the students working in the schoolyard, one-third were girls, half of whom are in the 6th grade. Of the working boys, $\\frac{5}{7}$ are not in the 6th grade. What is the minimum number of 6th graders that could have been among the students working in the schoolyard?",
"role": "user"
}
] |
math
|
{
"ground_truth": "15",
"style": "rule"
}
|
{
"index": 4944,
"need_tools_kwargs": true,
"question": "Of the students working in the schoolyard, one-third were girls, half of whom are in the 6th grade. Of the working boys, $\\frac{5}{7}$ are not in the 6th grade. What is the minimum number of 6th graders that could have been among the students working in the schoolyard?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "已知数列 $\\left\\{a_{n}\\right\\}$ 满足 \n$$ \na_{n-1}=a_{n}+a_{n-2}(n \\geqslant 3), \n$$ \n记前 $n$ 项和为 $S_{n}$. 若 $S_{2018}=2017, S_{2019}= 2018$, 则 $S_{2020}=$ $\\qquad$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "1010",
"style": "rule"
}
|
{
"index": 4945,
"need_tools_kwargs": true,
"question": "已知数列 $\\left\\{a_{n}\\right\\}$ 满足 \n$$ \na_{n-1}=a_{n}+a_{n-2}(n \\geqslant 3), \n$$ \n记前 $n$ 项和为 $S_{n}$. 若 $S_{2018}=2017, S_{2019}= 2018$, 则 $S_{2020}=$ $\\qquad$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who is the child of the director of film Smashing Through?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Roy Kellino",
"style": "rule"
}
|
{
"index": 4946,
"need_tools_kwargs": true,
"question": "Who is the child of the director of film Smashing Through?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 the sum\n\\[\n S_n = \\sum_{k = 1}^n \\frac{1}{\\sqrt{2k-1}} \\, .\n\\]\nDetermine $\\lfloor S_{4901} \\rfloor$. Recall that if $x$ is a real number, then $\\lfloor x \\rfloor$ (the [i]floor[/i] of $x$) is the greatest integer that is less than or equal to $x$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "98",
"style": "rule"
}
|
{
"index": 4947,
"need_tools_kwargs": true,
"question": "Consider the sum\n\\[\n S_n = \\sum_{k = 1}^n \\frac{1}{\\sqrt{2k-1}} \\, .\n\\]\nDetermine $\\lfloor S_{4901} \\rfloor$. Recall that if $x$ is a real number, then $\\lfloor x \\rfloor$ (the [i]floor[/i] of $x$) is the greatest integer that is less than or equal to $x$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Eunice Cho's best-known role was Robin in a TV movie that was released on DVD in what year?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "2007",
"style": "rule"
}
|
{
"index": 4948,
"need_tools_kwargs": true,
"question": "Eunice Cho's best-known role was Robin in a TV movie that was released on DVD 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": "The equation $AB \\times CD = EFGH$, where each letter $A$, $B$, $C$, $D$, $E$, $F$, $G$, and $H$ represents a different digit, and the values of $A$, $C$, and $E$ are all nonzero, has many solutions. For example, $46 \\times 85 = 3910$. Find the smallest value of the four-digit number $EFGH$ for which there is a solution.",
"role": "user"
}
] |
math
|
{
"ground_truth": "1058",
"style": "rule"
}
|
{
"index": 4949,
"need_tools_kwargs": true,
"question": "The equation $AB \\times CD = EFGH$, where each letter $A$, $B$, $C$, $D$, $E$, $F$, $G$, and $H$ represents a different digit, and the values of $A$, $C$, and $E$ are all nonzero, has many solutions. For example, $46 \\times 85 = 3910$. Find the smallest value of the four-digit number $EFGH$ for which there is a solution.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $S$ be the set of all real numbers $x$ such that $0 \\le x \\le 2016 \\pi$ and $\\sin x < 3 \\sin(x/3)$ . The set $S$ is the union of a finite number of disjoint intervals. Compute the total length of all these intervals.",
"role": "user"
}
] |
math
|
{
"ground_truth": "1008\\pi",
"style": "rule"
}
|
{
"index": 4950,
"need_tools_kwargs": true,
"question": "Let $S$ be the set of all real numbers $x$ such that $0 \\le x \\le 2016 \\pi$ and $\\sin x < 3 \\sin(x/3)$ . The set $S$ is the union of a finite number of disjoint intervals. Compute the total length of all these intervals.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 bug is on a corner of a cube. A healthy path for the bug is a path along the edges of the cube that starts and ends where the bug is located, uses no edge multiple times, and uses at most two of the edges adjacent to any particular face. Find the number of healthy paths.",
"role": "user"
}
] |
math
|
{
"ground_truth": "6",
"style": "rule"
}
|
{
"index": 4951,
"need_tools_kwargs": true,
"question": "A bug is on a corner of a cube. A healthy path for the bug is a path along the edges of the cube that starts and ends where the bug is located, uses no edge multiple times, and uses at most two of the edges adjacent to any particular face. Find the number of healthy paths.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Is it true that if we exclude triangular numbers from the set of natural numbers, the remaining numbers contain an infinite arithmetic sequence? (Triangular numbers are those that can be represented as $\\frac{n(n-1)}{2}$ for some natural number $n$.)",
"role": "user"
}
] |
math
|
{
"ground_truth": "True",
"style": "rule"
}
|
{
"index": 4952,
"need_tools_kwargs": true,
"question": "Is it true that if we exclude triangular numbers from the set of natural numbers, the remaining numbers contain an infinite arithmetic sequence? (Triangular numbers are those that can be represented as $\\frac{n(n-1)}{2}$ for some natural number $n$.)",
"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": "Let $B = \\{1, 2, 3, 4, 5, 6, 7, 8\\}$ and let $M$ be the number of functions $g$ from set $B$ to set $B$ such that $g(g(x))$ is a constant function. Find the remainder when $M$ is divided by $1000$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "992",
"style": "rule"
}
|
{
"index": 4953,
"need_tools_kwargs": true,
"question": "Let $B = \\{1, 2, 3, 4, 5, 6, 7, 8\\}$ and let $M$ be the number of functions $g$ from set $B$ to set $B$ such that $g(g(x))$ is a constant function. Find the remainder when $M$ is divided by $1000$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The quadratic expression \\( 24x^2 + bx + 24 \\) needs to be factored into the form \\( (cx + d)(ex + f) \\) with integer coefficients. To ensure unique factorization into linear factors, it is required that \\( c + d = 10 \\). Determine the possible values of \\( b \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "52",
"style": "rule"
}
|
{
"index": 4954,
"need_tools_kwargs": true,
"question": "The quadratic expression \\( 24x^2 + bx + 24 \\) needs to be factored into the form \\( (cx + d)(ex + f) \\) with integer coefficients. To ensure unique factorization into linear factors, it is required that \\( c + d = 10 \\). Determine the possible values of \\( b \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Depict on the plane \\((x ; y)\\) the set of points that satisfy the equation \\(\\left|9+8y-x^{2}-y^{2}\\right| + |8y| = 16y + 9 - x^{2} - y^{2}\\), and find the area of the resulting figure.",
"role": "user"
}
] |
math
|
{
"ground_truth": "25\\pi - 25 \\arcsin 0.6 + 12",
"style": "rule"
}
|
{
"index": 4955,
"need_tools_kwargs": true,
"question": "Depict on the plane \\((x ; y)\\) the set of points that satisfy the equation \\(\\left|9+8y-x^{2}-y^{2}\\right| + |8y| = 16y + 9 - x^{2} - y^{2}\\), and find the area of the resulting figure.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Two weightless glasses with different quantities of water are balanced on the beam of unequal-arm scales with length $L$. An amount of water with mass $m$ is poured from one glass into the other, causing the scales to lose balance. To restore balance, the support point of the beam needs to be shifted by a distance $l$ relative to its original position. Find the total mass of water in the glasses, ignoring the mass of the beam itself.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{m \\cdot L}{l}",
"style": "rule"
}
|
{
"index": 4956,
"need_tools_kwargs": true,
"question": "Two weightless glasses with different quantities of water are balanced on the beam of unequal-arm scales with length $L$. An amount of water with mass $m$ is poured from one glass into the other, causing the scales to lose balance. To restore balance, the support point of the beam needs to be shifted by a distance $l$ relative to its original position. Find the total mass of water in the glasses, ignoring the mass of the beam itself.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Solve the equation:\na) $\\log _{x^{2}-1}\\left(x^{3}+6\\right)=\\log _{x^{2}-1}\\left(4 x^{2}-x\\right)$;\n\nb) $\\log _{x^{3}+x}\\left(x^{2}-4\\right)=\\log _{4 x^{2}-6}\\left(x^{2}-4\\right)$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 4957,
"need_tools_kwargs": true,
"question": "Solve the equation:\na) $\\log _{x^{2}-1}\\left(x^{3}+6\\right)=\\log _{x^{2}-1}\\left(4 x^{2}-x\\right)$;\n\nb) $\\log _{x^{3}+x}\\left(x^{2}-4\\right)=\\log _{4 x^{2}-6}\\left(x^{2}-4\\right)$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Convert the point \\( (2, -2) \\) in rectangular coordinates to polar coordinates. Ensure the answer is in the form \\( (r, \\theta) \\), where \\( r > 0 \\) and \\( 0 \\leq \\theta < 2\\pi \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\left( 2\\sqrt{2}, \\frac{7\\pi}{4} \\right)",
"style": "rule"
}
|
{
"index": 4958,
"need_tools_kwargs": true,
"question": "Convert the point \\( (2, -2) \\) in rectangular coordinates to polar coordinates. Ensure the answer is in the form \\( (r, \\theta) \\), where \\( r > 0 \\) and \\( 0 \\leq \\theta < 2\\pi \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the place of birth of Xu Fan's husband?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Beijing",
"style": "rule"
}
|
{
"index": 4959,
"need_tools_kwargs": true,
"question": "What is the place of birth of Xu Fan'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": " The Lahore Qalandars are one of the five teams that had a competition in the debut season of a leauge whose first match was held at what stadium?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Dubai International Cricket Stadium",
"style": "rule"
}
|
{
"index": 4960,
"need_tools_kwargs": true,
"question": " The Lahore Qalandars are one of the five teams that had a competition in the debut season of a leauge whose first match was held at what stadium?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In the tetrahedron \\(KLMN\\), the edge lengths are given as \\(KL = MN = 9\\), \\(KM = LN = 15\\), and \\(KN = LM = 16\\). The points \\(P, Q, R,\\) and \\(S\\) are the centers of the circles inscribed in the triangles \\(KLM\\), \\(KLN\\), \\(KMN\\), and \\(LMN\\), respectively. Find the volume of the tetrahedron \\(PQRS\\). Round the answer to two decimal places if necessary.",
"role": "user"
}
] |
math
|
{
"ground_truth": "4.85",
"style": "rule"
}
|
{
"index": 4961,
"need_tools_kwargs": true,
"question": "In the tetrahedron \\(KLMN\\), the edge lengths are given as \\(KL = MN = 9\\), \\(KM = LN = 15\\), and \\(KN = LM = 16\\). The points \\(P, Q, R,\\) and \\(S\\) are the centers of the circles inscribed in the triangles \\(KLM\\), \\(KLN\\), \\(KMN\\), and \\(LMN\\), respectively. Find the volume of the tetrahedron \\(PQRS\\). Round the answer to two decimal places if necessary.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 South China Sea is rich in resources, with an area of about 3.5 million square kilometers, which is equivalent to three times the total area of the Bohai Sea, the Yellow Sea, and the East China Sea in China. The number 3.5 million is represented in scientific notation as ( )\nA: $0.35\\times10^{8}$\nB: $3.5\\times10^{7}$\nC: $3.5\\times10^{6}$\nD: $35\\times10^{5}$",
"role": "user"
}
] |
math
|
{
"ground_truth": "C: 3.5\\times10^{6}",
"style": "rule"
}
|
{
"index": 4962,
"need_tools_kwargs": true,
"question": "The South China Sea is rich in resources, with an area of about 3.5 million square kilometers, which is equivalent to three times the total area of the Bohai Sea, the Yellow Sea, and the East China Sea in China. The number 3.5 million is represented in scientific notation as ( )\nA: $0.35\\times10^{8}$\nB: $3.5\\times10^{7}$\nC: $3.5\\times10^{6}$\nD: $35\\times10^{5}$",
"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": "What are the two branches of Robert D. Braun's career field? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "aeronautical engineering and astronautical engineering",
"style": "rule"
}
|
{
"index": 4963,
"need_tools_kwargs": true,
"question": "What are the two branches of Robert D. Braun's career field? ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 original, Australia-only Astra of 1984 was a derivative of a locally produced car that was produced between what years ?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1978 until 2000",
"style": "rule"
}
|
{
"index": 4964,
"need_tools_kwargs": true,
"question": "the original, Australia-only Astra of 1984 was a derivative of a locally produced car that was produced between what years ?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given a right triangle \\(ABC\\) with the right angle at vertex \\(C\\) and \\(\\angle A = \\alpha\\), the angle bisector of angle \\(B\\) intersects the leg \\(AC\\) at point \\(K\\). A circle is constructed with \\(BC\\) as its diameter, which intersects the hypotenuse \\(AB\\) at point \\(M\\). Find the angle \\(\\angle AMK\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{1}{\\cos \\alpha}",
"style": "rule"
}
|
{
"index": 4965,
"need_tools_kwargs": true,
"question": "Given a right triangle \\(ABC\\) with the right angle at vertex \\(C\\) and \\(\\angle A = \\alpha\\), the angle bisector of angle \\(B\\) intersects the leg \\(AC\\) at point \\(K\\). A circle is constructed with \\(BC\\) as its diameter, which intersects the hypotenuse \\(AB\\) at point \\(M\\). Find the angle \\(\\angle AMK\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 which tour was Ghost's Papa Nihil resurrected?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Imperatour.",
"style": "rule"
}
|
{
"index": 4966,
"need_tools_kwargs": true,
"question": "During which tour was Ghost's Papa Nihil resurrected?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 distances from point \\( M \\), located inside triangle \\( ABC \\), to its sides \\( AC \\) and \\( BC \\) are 2 and 4, respectively. Find the distance from point \\( M \\) to line \\( AB \\), given that \\( AB = 10 \\), \\( BC = 17 \\), and \\( AC = 21 \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "5.8",
"style": "rule"
}
|
{
"index": 4967,
"need_tools_kwargs": true,
"question": "The distances from point \\( M \\), located inside triangle \\( ABC \\), to its sides \\( AC \\) and \\( BC \\) are 2 and 4, respectively. Find the distance from point \\( M \\) to line \\( AB \\), given that \\( AB = 10 \\), \\( BC = 17 \\), and \\( AC = 21 \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $\\mathrm {P}$ be the product of the roots of $z^6+z^4+z^3+z^2+1=0$ that have a positive imaginary part, and suppose that $\\mathrm {P}=r(\\cos{\\theta^{\\circ}}+i\\sin{\\theta^{\\circ}})$, where $0<r$ and $0\\leq \\theta <360$. Find $\\theta$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "276",
"style": "rule"
}
|
{
"index": 4968,
"need_tools_kwargs": true,
"question": "Let $\\mathrm {P}$ be the product of the roots of $z^6+z^4+z^3+z^2+1=0$ that have a positive imaginary part, and suppose that $\\mathrm {P}=r(\\cos{\\theta^{\\circ}}+i\\sin{\\theta^{\\circ}})$, where $0<r$ and $0\\leq \\theta <360$. Find $\\theta$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The sum of two numbers, A and B, is 888888. In number A, the digits in the ten thousands and tens places are both 2, and in number B, the digits in the ten thousands and tens places are both 6. If the digits in the ten thousands and tens places of both A and B are replaced with zeros, then number A becomes 3 times number B. What are the values of A and B?",
"role": "user"
}
] |
math
|
{
"ground_truth": "626626262262",
"style": "rule"
}
|
{
"index": 4969,
"need_tools_kwargs": true,
"question": "The sum of two numbers, A and B, is 888888. In number A, the digits in the ten thousands and tens places are both 2, and in number B, the digits in the ten thousands and tens places are both 6. If the digits in the ten thousands and tens places of both A and B are replaced with zeros, then number A becomes 3 times number B. What are the values of A and B?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A right-angled hallway is 1.5 meters wide. There is a maneuverable cart with a rectangular flat surface that is 1 meter wide. To pass through the right-angled hallway smoothly, what is the maximum length that the cart's flat surface can be?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3\\sqrt{2}",
"style": "rule"
}
|
{
"index": 4970,
"need_tools_kwargs": true,
"question": "A right-angled hallway is 1.5 meters wide. There is a maneuverable cart with a rectangular flat surface that is 1 meter wide. To pass through the right-angled hallway smoothly, what is the maximum length that the cart's flat surface can be?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What nationality is the director of film The Ascent Of Little Lilian?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Austrian",
"style": "rule"
}
|
{
"index": 4971,
"need_tools_kwargs": true,
"question": "What nationality is the director of film The Ascent Of Little Lilian?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 first, October November or Return From Hell?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Return From Hell",
"style": "rule"
}
|
{
"index": 4972,
"need_tools_kwargs": true,
"question": "Which film has the director who was born first, October November or Return From Hell?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Typhoon Joan was the 25th named storm of a season that had what ACE rating?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "594.11",
"style": "rule"
}
|
{
"index": 4973,
"need_tools_kwargs": true,
"question": "Typhoon Joan was the 25th named storm of a season that had what ACE rating?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 airports, Cordova Municipal Airport and Ohio State University Airport, located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 4974,
"need_tools_kwargs": true,
"question": "Are both airports, Cordova Municipal Airport and Ohio State University Airport, located in the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who has has filled more film industry job titles, Dorothy Arzner or Herbert Ross?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Herbert David Ross",
"style": "rule"
}
|
{
"index": 4975,
"need_tools_kwargs": true,
"question": "Who has has filled more film industry job titles, Dorothy Arzner or Herbert Ross?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 guest appeared on Luv is Rage 2?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Abel Makkonen Tesfaye",
"style": "rule"
}
|
{
"index": 4976,
"need_tools_kwargs": true,
"question": "Who guest appeared on Luv is Rage 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": "Parrot Carrot, in ebook form, is voiced by the Australian singer known for which song?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "The Elephant Song",
"style": "rule"
}
|
{
"index": 4977,
"need_tools_kwargs": true,
"question": "Parrot Carrot, in ebook form, is voiced by the Australian singer known for which 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": "On Qingming Festival, students take a bus to the Martyrs' Cemetery. If the bus increases its speed by one-fifth after traveling for 1 hour at its original speed, it can arrive 20 minutes earlier than the scheduled time. If the bus first travels 72 km at its original speed and then increases its speed by one-third, it can arrive 30 minutes earlier than the scheduled time. How many kilometers is it from the school to the Martyrs' Cemetery?",
"role": "user"
}
] |
math
|
{
"ground_truth": "216",
"style": "rule"
}
|
{
"index": 4978,
"need_tools_kwargs": true,
"question": "On Qingming Festival, students take a bus to the Martyrs' Cemetery. If the bus increases its speed by one-fifth after traveling for 1 hour at its original speed, it can arrive 20 minutes earlier than the scheduled time. If the bus first travels 72 km at its original speed and then increases its speed by one-third, it can arrive 30 minutes earlier than the scheduled time. How many kilometers is it from the school to the Martyrs' Cemetery?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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, Blind Ambition (film) and Demi Lovato: Simply Complicated, from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 4979,
"need_tools_kwargs": true,
"question": "Are both movies, Blind Ambition (film) and Demi Lovato: Simply Complicated, from the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given that $\\cos 78^{\\circ}$ is approximately $\\frac{1}{5}$, $\\sin 66^{\\circ}$ is approximately:",
"role": "user"
}
] |
math
|
{
"ground_truth": "0.92",
"style": "rule"
}
|
{
"index": 4980,
"need_tools_kwargs": true,
"question": "Given that $\\cos 78^{\\circ}$ is approximately $\\frac{1}{5}$, $\\sin 66^{\\circ}$ is approximately:",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "给定实数 a\\in(0,1) 和正整数 n. 设正实数 x_0, x_1, \\cdots, x_n 满足 \\sum_{i=0}^{n}x_i=n+a 且 \\sum_{i=0}^{n}\\frac{1}{x_i}=n+\\frac{1}{a}. 求 \\sum_{i=0}^{n}x_i^2 的最小值。答案的形式为 bx+cy，请给出 b+c 的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 4981,
"need_tools_kwargs": true,
"question": "给定实数 a\\in(0,1) 和正整数 n. 设正实数 x_0, x_1, \\cdots, x_n 满足 \\sum_{i=0}^{n}x_i=n+a 且 \\sum_{i=0}^{n}\\frac{1}{x_i}=n+\\frac{1}{a}. 求 \\sum_{i=0}^{n}x_i^2 的最小值。答案的形式为 bx+cy，请给出 b+c 的值。",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Solve the equation \\(\\left\\lfloor \\frac{x}{2} \\right\\rfloor + \\left\\lfloor \\frac{x}{4} \\right\\rfloor = x\\), where \\(\\left\\lfloor x \\right\\rfloor\\) denotes the floor function, the greatest integer less than or equal to \\(x\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "[-5, -3, -2, 0]",
"style": "rule"
}
|
{
"index": 4982,
"need_tools_kwargs": true,
"question": "Solve the equation \\(\\left\\lfloor \\frac{x}{2} \\right\\rfloor + \\left\\lfloor \\frac{x}{4} \\right\\rfloor = x\\), where \\(\\left\\lfloor x \\right\\rfloor\\) denotes the floor function, the greatest integer less than or equal to \\(x\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Determine the correct statement(s) from the following four options:\n\n1. The negation of the proposition \"For all $x \\in \\mathbb{R}$, $x^2 - 2 < 3x$\" is \"There exists an $x \\in \\mathbb{R}$ such that $x^2 - 2 \\geq 3x$.\"\n2. If $a, b \\in \\mathbb{R}$, then $2^a < 2^b$ is a necessary but not sufficient condition for $\\log_{\\frac{1}{2}} a > \\log_{\\frac{1}{2}} b$.\n3. By moving all points on the graph of the function $y = \\sin(-3x) (x \\in \\mathbb{R})$ to the right by $\\frac{\\pi}{4}$ units, the graph of $y = \\sin(-3x - \\frac{\\pi}{4}) (x \\in \\mathbb{R})$ can be obtained.\n4. If vectors $\\vec{a}$ and $\\vec{b}$ satisfy $|\\vec{a}| = 1$, $|\\vec{b}| = 2$, and the angle between $\\vec{a}$ and $\\vec{b}$ is $\\frac{2\\pi}{3}$, then $|\\vec{a} + \\vec{b}| = \\sqrt{3}$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\sqrt{3}",
"style": "rule"
}
|
{
"index": 4983,
"need_tools_kwargs": true,
"question": "Determine the correct statement(s) from the following four options:\n\n1. The negation of the proposition \"For all $x \\in \\mathbb{R}$, $x^2 - 2 < 3x$\" is \"There exists an $x \\in \\mathbb{R}$ such that $x^2 - 2 \\geq 3x$.\"\n2. If $a, b \\in \\mathbb{R}$, then $2^a < 2^b$ is a necessary but not sufficient condition for $\\log_{\\frac{1}{2}} a > \\log_{\\frac{1}{2}} b$.\n3. By moving all points on the graph of the function $y = \\sin(-3x) (x \\in \\mathbb{R})$ to the right by $\\frac{\\pi}{4}$ units, the graph of $y = \\sin(-3x - \\frac{\\pi}{4}) (x \\in \\mathbb{R})$ can be obtained.\n4. If vectors $\\vec{a}$ and $\\vec{b}$ satisfy $|\\vec{a}| = 1$, $|\\vec{b}| = 2$, and the angle between $\\vec{a}$ and $\\vec{b}$ is $\\frac{2\\pi}{3}$, then $|\\vec{a} + \\vec{b}| = \\sqrt{3}$.",
"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": "Friðrik Karlsson is an Icelandic musician and songwriter who contributed to the soundtrack of musical with a book by Nan Knighton and music and lyrics by who?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "the Bee Gees",
"style": "rule"
}
|
{
"index": 4984,
"need_tools_kwargs": true,
"question": "Friðrik Karlsson is an Icelandic musician and songwriter who contributed to the soundtrack of musical with a book by Nan Knighton and music and lyrics by who?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The Reunion Tour with Head was a tour that included which founder of the band Korn?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Brian Philip Welch",
"style": "rule"
}
|
{
"index": 4985,
"need_tools_kwargs": true,
"question": "The Reunion Tour with Head was a tour that included which founder of the band Korn?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Swordsman Ii?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Chinese",
"style": "rule"
}
|
{
"index": 4986,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Swordsman Ii?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 betting pool, sports lottery, sweep, or office pool if done at work, is a form of gambling, specifically a variant of parimutuel betting influenced by lotteries, where gamblers pay a fixed price into a \"pool\" (from which taxes and a house \"take\" or \"vig\" are removed), and then make a selection on an outcome, usually related to sport, the vig is also known as juice, under-juice, the cut or the take, is the amount charged by a bookmaker, or \"bookie\", for taking a bet from a gambler?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Vigorish",
"style": "rule"
}
|
{
"index": 4987,
"need_tools_kwargs": true,
"question": "A betting pool, sports lottery, sweep, or office pool if done at work, is a form of gambling, specifically a variant of parimutuel betting influenced by lotteries, where gamblers pay a fixed price into a \"pool\" (from which taxes and a house \"take\" or \"vig\" are removed), and then make a selection on an outcome, usually related to sport, the vig is also known as juice, under-juice, the cut or the take, is the amount charged by a bookmaker, or \"bookie\", for taking a bet from a gambler?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 died first, Jimmy Dotson or Elisabeth Bürstenbinder?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Elisabeth Bürstenbinder",
"style": "rule"
}
|
{
"index": 4988,
"need_tools_kwargs": true,
"question": "Who died first, Jimmy Dotson or Elisabeth Bürstenbinder?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "With what goal difference did Brighton finish the 2021-22 Premier League season?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "-2",
"style": "rule"
}
|
{
"index": 4989,
"need_tools_kwargs": true,
"question": "With what goal difference did Brighton finish the 2021-22 Premier League 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": "Given an ellipse $\\frac {x^{2}}{3m^{2}} + \\frac {y^{2}}{5n^{2}} = 1$ and a hyperbola $\\frac {x^{2}}{2m^{2}} - \\frac {y^{2}}{3n^{2}} = 1$ share a common focus. \n(1) Find the equation of the asymptotes of the hyperbola; \n(2) Line $l$ passes through the right focus and is perpendicular to the x-axis. If the area of the triangle formed by line $l$ and the asymptotes of the hyperbola is $\\frac { \\sqrt {3}}{4}$, find the equation of the hyperbola.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac {19x^{2}}{16} - \\frac {19y^{2}}{3} = 1",
"style": "rule"
}
|
{
"index": 4990,
"need_tools_kwargs": true,
"question": "Given an ellipse $\\frac {x^{2}}{3m^{2}} + \\frac {y^{2}}{5n^{2}} = 1$ and a hyperbola $\\frac {x^{2}}{2m^{2}} - \\frac {y^{2}}{3n^{2}} = 1$ share a common focus. \n(1) Find the equation of the asymptotes of the hyperbola; \n(2) Line $l$ passes through the right focus and is perpendicular to the x-axis. If the area of the triangle formed by line $l$ and the asymptotes of the hyperbola is $\\frac { \\sqrt {3}}{4}$, find the equation of the hyperbola.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where was the director of film Stage Fright (1950 Film) born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Leytonstone",
"style": "rule"
}
|
{
"index": 4991,
"need_tools_kwargs": true,
"question": "Where was the director of film Stage Fright (1950 Film) born?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The parabola \\( y = ax^2 + bx + 1 \\) has parameters \\( a \\) and \\( b \\) satisfying \\( 8a^2 + 4ab = b^3 \\). Find the equation of the locus of the vertex \\((s, t)\\) of the parabola as \\( a \\) and \\( b \\) vary.",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"index": 4992,
"need_tools_kwargs": true,
"question": "The parabola \\( y = ax^2 + bx + 1 \\) has parameters \\( a \\) and \\( b \\) satisfying \\( 8a^2 + 4ab = b^3 \\). Find the equation of the locus of the vertex \\((s, t)\\) of the parabola as \\( a \\) and \\( b \\) vary.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What was the original spelling of the name of the coloratura soprano who sang in Verdi's La Traviata at the Aix-en-Provence Festival?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Nathalie Dessaix",
"style": "rule"
}
|
{
"index": 4993,
"need_tools_kwargs": true,
"question": "What was the original spelling of the name of the coloratura soprano who sang in Verdi's La Traviata at the Aix-en-Provence Festival?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Tom, Dick, and Harry embarked on a 120-mile journey together. Initially, Tom and Harry drove in a car traveling at a rate of 20 mph, while Dick cycled at a rate of 10 mph. After some time, Tom and Harry stopped the car and continued the journey walking at 5 mph, while Dick continued cycling at his original speed until they all met up and completed the remaining part of the journey together walking. Given this scenario, how long did the entire journey take?",
"role": "user"
}
] |
math
|
{
"ground_truth": "24",
"style": "rule"
}
|
{
"index": 4994,
"need_tools_kwargs": true,
"question": "Tom, Dick, and Harry embarked on a 120-mile journey together. Initially, Tom and Harry drove in a car traveling at a rate of 20 mph, while Dick cycled at a rate of 10 mph. After some time, Tom and Harry stopped the car and continued the journey walking at 5 mph, while Dick continued cycling at his original speed until they all met up and completed the remaining part of the journey together walking. Given this scenario, how long did the entire journey take?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Eveline Cruickshanks is a historian of what historical political movement in Great Britain and Ireland?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Eveline Cruickshanks is an historian of seventeenth- and eighteenth-century British political history, specialising in Jacobitism and Toryism",
"style": "rule"
}
|
{
"index": 4995,
"need_tools_kwargs": true,
"question": "Eveline Cruickshanks is a historian of what historical political movement in Great Britain and Ireland?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 magazine has a strong emphasis on photojournalism, Life or New Era?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "and launched a major weekly news magazine with a strong emphasis on photojournalism.",
"style": "rule"
}
|
{
"index": 4996,
"need_tools_kwargs": true,
"question": "What magazine has a strong emphasis on photojournalism, Life or New Era?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 tetrahedron \\(ABCD\\) with the following edge lengths: \\(AB = 5\\), \\(AC = 3\\), \\(BC = 4\\), \\(BD = 4\\), \\(AD = 3\\), and \\(CD = \\frac{12}{5}\\sqrt{2}\\), calculate the volume of the tetrahedron.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{24}{5}",
"style": "rule"
}
|
{
"index": 4997,
"need_tools_kwargs": true,
"question": "Given a tetrahedron \\(ABCD\\) with the following edge lengths: \\(AB = 5\\), \\(AC = 3\\), \\(BC = 4\\), \\(BD = 4\\), \\(AD = 3\\), and \\(CD = \\frac{12}{5}\\sqrt{2}\\), calculate the volume of the tetrahedron.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Evan writes a computer program that randomly rearranges the digits $0, 2, 4, 6$, and $8$ to create a five-digit number with no leading zeroes. If he executes this program once, the probability that the program outputs an integer divisible by 4 can be written in the form $\\frac{m}{n}$, where $m$ and $n$ are positive integers that share no common factors. What is $100m + n$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "508",
"style": "rule"
}
|
{
"index": 4998,
"need_tools_kwargs": true,
"question": "Evan writes a computer program that randomly rearranges the digits $0, 2, 4, 6$, and $8$ to create a five-digit number with no leading zeroes. If he executes this program once, the probability that the program outputs an integer divisible by 4 can be written in the form $\\frac{m}{n}$, where $m$ and $n$ are positive integers that share no common factors. What is $100m + n$?",
"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 cube with side length $10$ is divided into two cuboids with integral side lengths by a straight cut. Afterwards, one of these two cuboids is divided into two cuboids with integral side lengths by another straight cut. What is the smallest possible volume of the largest of the three cuboids?",
"role": "user"
}
] |
math
|
{
"ground_truth": "350",
"style": "rule"
}
|
{
"index": 4999,
"need_tools_kwargs": true,
"question": "A cube with side length $10$ is divided into two cuboids with integral side lengths by a straight cut. Afterwards, one of these two cuboids is divided into two cuboids with integral side lengths by another straight cut. What is the smallest possible volume of the largest of the three cuboids?",
"split": "train"
}
| null |
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