data_source
stringclasses 1
value | prompt
listlengths 2
2
| ability
stringclasses 2
values | reward_model
dict | extra_info
dict | metadata
null |
|---|---|---|---|---|---|
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let \\( A \\) and \\( B \\) be two sets, and \\((A, B)\\) be called a \"pair\". If \\( A \\neq B \\), then \\((A, B)\\) and \\((B, A)\\) are considered different \"pairs\". Find the number of different pairs \\((A, B)\\) that satisfy the condition \\( A \\cup B = \\{1,2,3,4\\} \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "81",
"style": "rule"
}
|
{
"index": 6400,
"need_tools_kwargs": true,
"question": "Let \\( A \\) and \\( B \\) be two sets, and \\((A, B)\\) be called a \"pair\". If \\( A \\neq B \\), then \\((A, B)\\) and \\((B, A)\\) are considered different \"pairs\". Find the number of different pairs \\((A, B)\\) that satisfy the condition \\( A \\cup B = \\{1,2,3,4\\} \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What nationality is the director of film Gallivant?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "British",
"style": "rule"
}
|
{
"index": 6401,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Gallivant?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 birth date of an actress who co-starred in a film with Lori Loughlin?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "May 2, 1990",
"style": "rule"
}
|
{
"index": 6402,
"need_tools_kwargs": true,
"question": "What was the birth date of an actress who co-starred in a film with Lori Loughlin?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Irresistible is the second studio album by American recording artist Jessica Simpson, released on May 25, 2001, Simpson described the material as \"Mariah Carey meets Britney Spears\", is an American singer, dancer, and actress, born on which date?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "December 2, 1981",
"style": "rule"
}
|
{
"index": 6403,
"need_tools_kwargs": true,
"question": "Irresistible is the second studio album by American recording artist Jessica Simpson, released on May 25, 2001, Simpson described the material as \"Mariah Carey meets Britney Spears\", is an American singer, dancer, and actress, born on which date?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A club has 10 members, 5 boys and 5 girls. Two of the members are chosen at random. What is the probability that they are both girls?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\dfrac{2}{9}",
"style": "rule"
}
|
{
"index": 6404,
"need_tools_kwargs": true,
"question": "A club has 10 members, 5 boys and 5 girls. Two of the members are chosen at random. What is the probability that they are both girls?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What actor was a former member of a band that collaborated with Manic Street Preachers to create the song Futurology?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Rhys Ifans",
"style": "rule"
}
|
{
"index": 6405,
"need_tools_kwargs": true,
"question": "What actor was a former member of a band that collaborated with Manic Street Preachers to create the song Futurology?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 performer of song It Don'T Mean A Thing (If It Ain'T Got That Swing) born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Washington",
"style": "rule"
}
|
{
"index": 6406,
"need_tools_kwargs": true,
"question": "Where was the performer of song It Don'T Mean A Thing (If It Ain'T Got That Swing) born?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which film has the director who died first, The Lost Weekend (film) or Shunko?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Shunko",
"style": "rule"
}
|
{
"index": 6407,
"need_tools_kwargs": true,
"question": "Which film has the director who died first, The Lost Weekend (film) or Shunko?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Baltimore Ravens retiree scored 8 touchdowns for the Tennessee Titans in 2003?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Derrick Mason",
"style": "rule"
}
|
{
"index": 6408,
"need_tools_kwargs": true,
"question": "What Baltimore Ravens retiree scored 8 touchdowns for the Tennessee Titans in 2003?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "$n$ balls are placed independently and uniformly at random into $n$ boxes. One box is selected at random and is found to contain $b$ balls. Let $e_n$ be the expected value of $b^4$. Find $$\\lim_{n \\to \\infty} e_n.$$",
"role": "user"
}
] |
math
|
{
"ground_truth": "15",
"style": "rule"
}
|
{
"index": 6409,
"need_tools_kwargs": true,
"question": "$n$ balls are placed independently and uniformly at random into $n$ boxes. One box is selected at random and is found to contain $b$ balls. Let $e_n$ be the expected value of $b^4$. Find $$\\lim_{n \\to \\infty} e_n.$$",
"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": "Polyethylene glycol, one of the chemical components in Polyether block amide serves what purpose?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "many applications from industrial manufacturing to medicine",
"style": "rule"
}
|
{
"index": 6410,
"need_tools_kwargs": true,
"question": "Polyethylene glycol, one of the chemical components in Polyether block amide serves what purpose?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Real numbers \\((x,y)\\) satisfy the following equations:\n\\[\n(x + 3)(y + 1) + y^2 = 3y\n\\]\n\\[\n-x + x(y + x) = - 2x - 3.\n\\]\nFind the sum of all possible values of \\(x\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "-3",
"style": "rule"
}
|
{
"index": 6411,
"need_tools_kwargs": true,
"question": "Real numbers \\((x,y)\\) satisfy the following equations:\n\\[\n(x + 3)(y + 1) + y^2 = 3y\n\\]\n\\[\n-x + x(y + x) = - 2x - 3.\n\\]\nFind the sum of all possible values of \\(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": "In a right prism with rectangular bases, each side of the rectangle is in the ratio 3:4 and the sum of the areas of three mutually adjacent faces (two lateral faces and the base) is 48. Find the maximum volume of the prism.",
"role": "user"
}
] |
math
|
{
"ground_truth": "132",
"style": "rule"
}
|
{
"index": 6412,
"need_tools_kwargs": true,
"question": "In a right prism with rectangular bases, each side of the rectangle is in the ratio 3:4 and the sum of the areas of three mutually adjacent faces (two lateral faces and the base) is 48. Find the maximum volume of the prism.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 an inscribed quadrilateral \\(ABCD\\), the degree measures of the angles are in the ratio \\(\\angle A : \\angle B : \\angle C = 2 : 3 : 4\\). Given that \\(CD = 15\\) and \\(BC = 18\\sqrt{3} - 7.5\\), determine the length of \\(AC\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "39",
"style": "rule"
}
|
{
"index": 6413,
"need_tools_kwargs": true,
"question": "In an inscribed quadrilateral \\(ABCD\\), the degree measures of the angles are in the ratio \\(\\angle A : \\angle B : \\angle C = 2 : 3 : 4\\). Given that \\(CD = 15\\) and \\(BC = 18\\sqrt{3} - 7.5\\), determine the length of \\(AC\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Equilateral triangle $\\vartriangle ABC$ has side length $12$ and equilateral triangles of side lengths $a, b, c < 6$ are each cut from a vertex of $\\vartriangle ABC$, leaving behind an equiangular hexagon $A_1A_2B_1B_2C_1C_2$, where $A_1$ lies on $AC$, $A_2$ lies on $AB$, and the rest of the vertices are similarly defined. Let $A_3$ be the midpoint of $A_1A_2$ and define $B_3$, $C_3$ similarly. Let the center of $\\vartriangle ABC$ be $O$. Note that $OA_3$, $OB_3$, $OC_3$ split the hexagon into three pentagons. If the sum of the areas of the equilateral triangles cut out is $18\\sqrt3$ and the ratio of the areas of the pentagons is $5 : 6 : 7$, what is the value of $abc$? The original answer is in the form $k\\sqrt{m}$, please give the value of k + m.",
"role": "user"
}
] |
math
|
{
"ground_truth": "67",
"style": "rule"
}
|
{
"index": 6414,
"need_tools_kwargs": true,
"question": "Equilateral triangle $\\vartriangle ABC$ has side length $12$ and equilateral triangles of side lengths $a, b, c < 6$ are each cut from a vertex of $\\vartriangle ABC$, leaving behind an equiangular hexagon $A_1A_2B_1B_2C_1C_2$, where $A_1$ lies on $AC$, $A_2$ lies on $AB$, and the rest of the vertices are similarly defined. Let $A_3$ be the midpoint of $A_1A_2$ and define $B_3$, $C_3$ similarly. Let the center of $\\vartriangle ABC$ be $O$. Note that $OA_3$, $OB_3$, $OC_3$ split the hexagon into three pentagons. If the sum of the areas of the equilateral triangles cut out is $18\\sqrt3$ and the ratio of the areas of the pentagons is $5 : 6 : 7$, what is the value of $abc$? The original answer is in the form $k\\sqrt{m}$, please give the value of k + m.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of death of Princess Maria Amalia Of Saxony's husband?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1 April 1795",
"style": "rule"
}
|
{
"index": 6415,
"need_tools_kwargs": true,
"question": "What is the date of death of Princess Maria Amalia Of Saxony'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": "Who is the first season winner of the US version of the UK series \"Strictly Come Dancing\"?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Kelly Marie Monaco",
"style": "rule"
}
|
{
"index": 6416,
"need_tools_kwargs": true,
"question": "Who is the first season winner of the US version of the UK series \"Strictly Come Dancing\"?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 tune of \"O Sanctissima\" has been notably reused in the first half of a American civil rights anthem that is most commonly attributed as having descended lyrically from what hymn?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "I'll Overcome Some Day",
"style": "rule"
}
|
{
"index": 6417,
"need_tools_kwargs": true,
"question": "The tune of \"O Sanctissima\" has been notably reused in the first half of a American civil rights anthem that is most commonly attributed as having descended lyrically from what hymn?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Among the numbers $1, 2, 3, \\cdots, 50$, if 10 consecutive numbers are selected, what is the probability that exactly 3 of them are prime numbers?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{22}{41}",
"style": "rule"
}
|
{
"index": 6418,
"need_tools_kwargs": true,
"question": "Among the numbers $1, 2, 3, \\cdots, 50$, if 10 consecutive numbers are selected, what is the probability that exactly 3 of them are prime numbers?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What was the middle name of the actress who hosted the 1987 PBS special, A Christmas Calendar?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Jane",
"style": "rule"
}
|
{
"index": 6419,
"need_tools_kwargs": true,
"question": "What was the middle name of the actress who hosted the 1987 PBS special, A Christmas Calendar?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "$a_{n}$ 是离 $\\sqrt{n}$ 最近的整数, 则 $S_{2021}=$",
"role": "user"
}
] |
math
|
{
"ground_truth": "60585",
"style": "rule"
}
|
{
"index": 6420,
"need_tools_kwargs": true,
"question": "$a_{n}$ 是离 $\\sqrt{n}$ 最近的整数, 则 $S_{2021}=$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Sam earns $10 an hour on Math tutoring. For the first month, he earned $200; and for the second month, he earned some amount more than the first month. He spent 55 hours on tutoring for two months. How much more did he earn in the second month compared to the first month?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\$150",
"style": "rule"
}
|
{
"index": 6421,
"need_tools_kwargs": true,
"question": "Sam earns $10 an hour on Math tutoring. For the first month, he earned $200; and for the second month, he earned some amount more than the first month. He spent 55 hours on tutoring for two months. How much more did he earn in the second month compared to the first month?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "An athletic meet lasted for \\( n \\) consecutive days and awarded a total of \\( m \\) medals. On the first day, 1 medal was awarded plus \\(\\frac{1}{7}\\) of the remaining \\( m-1 \\) medals. On the second day, 2 medals were awarded plus \\(\\frac{1}{7}\\) of the remaining medals. On each subsequent day, this pattern continued. On the final, \\( n \\)-th day, exactly \\( n \\) medals were awarded. Find the values of \\( n \\) and \\( m \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "36\\}",
"style": "rule"
}
|
{
"index": 6422,
"need_tools_kwargs": true,
"question": "An athletic meet lasted for \\( n \\) consecutive days and awarded a total of \\( m \\) medals. On the first day, 1 medal was awarded plus \\(\\frac{1}{7}\\) of the remaining \\( m-1 \\) medals. On the second day, 2 medals were awarded plus \\(\\frac{1}{7}\\) of the remaining medals. On each subsequent day, this pattern continued. On the final, \\( n \\)-th day, exactly \\( n \\) medals were awarded. Find the values of \\( n \\) and \\( m \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let \\( f(x) \\) be an increasing function defined on \\( (0, +\\infty) \\) such that for any \\( x \\in (0, +\\infty) \\), the following conditions hold:\n\\[ f(x) > -\\frac{6}{x}, \\]\n\\[ f\\left(f(x) + \\frac{6}{x}\\right) = 5. \\]\n\nDetermine the value of \\( f(10) \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{12}{5}",
"style": "rule"
}
|
{
"index": 6423,
"need_tools_kwargs": true,
"question": "Let \\( f(x) \\) be an increasing function defined on \\( (0, +\\infty) \\) such that for any \\( x \\in (0, +\\infty) \\), the following conditions hold:\n\\[ f(x) > -\\frac{6}{x}, \\]\n\\[ f\\left(f(x) + \\frac{6}{x}\\right) = 5. \\]\n\nDetermine the value of \\( f(10) \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "对于正整数集的非空子集 $A$ ，记 $f(A)=\\{a b c-b-c+2 \\mid a, b, c \\in A\\}$ 。求所有的 $n \\geq 2$ ，使得可将正整数集分成 $n$ 个两两不交的非空集合 $A_{1}, A_{2}, \\ldots, A_{n}$ 的并，且对于任意的 $1 \\leq \\mathrm{i} \\leq \\mathrm{n}, \\mathrm{f}\\left(\\mathrm{A}_{\\mathrm{i}}\\right) \\subseteq \\mathrm{A}_{\\mathrm{i}}$ 。请给出满足条件的最小正整数$n$的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 6424,
"need_tools_kwargs": true,
"question": "对于正整数集的非空子集 $A$ ，记 $f(A)=\\{a b c-b-c+2 \\mid a, b, c \\in A\\}$ 。求所有的 $n \\geq 2$ ，使得可将正整数集分成 $n$ 个两两不交的非空集合 $A_{1}, A_{2}, \\ldots, A_{n}$ 的并，且对于任意的 $1 \\leq \\mathrm{i} \\leq \\mathrm{n}, \\mathrm{f}\\left(\\mathrm{A}_{\\mathrm{i}}\\right) \\subseteq \\mathrm{A}_{\\mathrm{i}}$ 。请给出满足条件的最小正整数$n$的值。",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Do the movies Blacktown (Film) and You Are The One (Film), originate from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 6425,
"need_tools_kwargs": true,
"question": "Do the movies Blacktown (Film) and You Are The One (Film), originate 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": "Find the general solution of the differential equation\n\n$$\nd r - r d \\varphi = 0\n$$",
"role": "user"
}
] |
math
|
{
"ground_truth": "r = Ke^{\\varphi}",
"style": "rule"
}
|
{
"index": 6426,
"need_tools_kwargs": true,
"question": "Find the general solution of the differential equation\n\n$$\nd r - r d \\varphi = 0\n$$",
"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": "Among all the roots of\n\\[z^8 - z^6 + z^4 - z^2 + 1 = 0,\\]the maximum imaginary part of a root can be expressed as $\\sin \\theta,$ where $-90^\\circ \\le \\theta \\le 90^\\circ.$ Find $\\theta.$",
"role": "user"
}
] |
math
|
{
"ground_truth": "54^\\circ",
"style": "rule"
}
|
{
"index": 6427,
"need_tools_kwargs": true,
"question": "Among all the roots of\n\\[z^8 - z^6 + z^4 - z^2 + 1 = 0,\\]the maximum imaginary part of a root can be expressed as $\\sin \\theta,$ where $-90^\\circ \\le \\theta \\le 90^\\circ.$ 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": "Where is the Head Office of the starter of the No issue, lelo tissue ad campaign?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Islamabad",
"style": "rule"
}
|
{
"index": 6428,
"need_tools_kwargs": true,
"question": "Where is the Head Office of the starter of the No issue, lelo tissue ad campaign?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 rectangular table shown below, the number $1$ is written in the upper-left hand corner, and every number is the sum of the any numbers directly to its left and above. The table extends infinitely downwards and to the right.\n\\[ \n \\begin{array}{cccccc}\n 1 & 1 & 1 & 1 & 1 & \\cdots \n 1 & 2 & 3 & 4 & 5 & \\cdots \n 1 & 3 & 6 & 10 & 15 & \\cdots \n 1 & 4 & 10 & 20 & 35 & \\cdots \n 1 & 5 & 15 & 35 & 70 & \\cdots \n \\vdots & \\vdots & \\vdots & \\vdots & \\vdots & \\ddots\n \\end{array}\n\\]\nWanda the Worm, who is on a diet after a feast two years ago, wants to eat $n$ numbers (not necessarily distinct in value) from the table such that the sum of the numbers is less than one million. However, she cannot eat two numbers in the same row or column (or both). What is the largest possible value of $n$ ?\n\n*Proposed by Evan Chen*",
"role": "user"
}
] |
math
|
{
"ground_truth": "19",
"style": "rule"
}
|
{
"index": 6429,
"need_tools_kwargs": true,
"question": "In the rectangular table shown below, the number $1$ is written in the upper-left hand corner, and every number is the sum of the any numbers directly to its left and above. The table extends infinitely downwards and to the right.\n\\[ \n \\begin{array}{cccccc}\n 1 & 1 & 1 & 1 & 1 & \\cdots \n 1 & 2 & 3 & 4 & 5 & \\cdots \n 1 & 3 & 6 & 10 & 15 & \\cdots \n 1 & 4 & 10 & 20 & 35 & \\cdots \n 1 & 5 & 15 & 35 & 70 & \\cdots \n \\vdots & \\vdots & \\vdots & \\vdots & \\vdots & \\ddots\n \\end{array}\n\\]\nWanda the Worm, who is on a diet after a feast two years ago, wants to eat $n$ numbers (not necessarily distinct in value) from the table such that the sum of the numbers is less than one million. However, she cannot eat two numbers in the same row or column (or both). What is the largest possible value of $n$ ?\n\n*Proposed by Evan Chen*",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given the sequence $\\{a_n\\}$ where $a_n = -3n + 4$, and the geometric sequence $\\{b_n\\}$ with common ratio $q$ satisfying $q = a_n - a_{n-1} (n \\geqslant 2)$ and $b_1 = a_1$, find the maximum value of $n$ such that $\\frac{1}{|b_1|} + \\frac{1}{|b_2|} + \\ldots + \\frac{1}{|b_n|} < \\frac{121}{81}$ holds. \n\nA: $3$\n\nB: $4$\n\nC: $5$\n\nD: $6$",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"index": 6430,
"need_tools_kwargs": true,
"question": "Given the sequence $\\{a_n\\}$ where $a_n = -3n + 4$, and the geometric sequence $\\{b_n\\}$ with common ratio $q$ satisfying $q = a_n - a_{n-1} (n \\geqslant 2)$ and $b_1 = a_1$, find the maximum value of $n$ such that $\\frac{1}{|b_1|} + \\frac{1}{|b_2|} + \\ldots + \\frac{1}{|b_n|} < \\frac{121}{81}$ holds. \n\nA: $3$\n\nB: $4$\n\nC: $5$\n\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": "Given that $\\log_2{3}=1$ and $4^b=3$, then $ab$ is equal to ( )\nA: 0\nB: $\\frac{1}{2}$\nC: $\\frac{3}{4}$\nD: 1",
"role": "user"
}
] |
math
|
{
"ground_truth": "ab = \\frac{1}{2}",
"style": "rule"
}
|
{
"index": 6431,
"need_tools_kwargs": true,
"question": "Given that $\\log_2{3}=1$ and $4^b=3$, then $ab$ is equal to ( )\nA: 0\nB: $\\frac{1}{2}$\nC: $\\frac{3}{4}$\nD: 1",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "设 $x, y$ 为不同的正整数, 给出以下三个结论: \n$(1)$ $y^{2}+2 x$ 与 $x^{2}+2 y$ 不可能同时为完全平方数 \n$(2)$ $y^{2}+4 x$ 与 $x^{2}+4 y$ 不可能同时为完全平方数 \n$(3)$ $y^{2}+6 x$ 与 $x^{2}+6 y$ 不可能同时为完全平方数 \n求出其中正确结论的个数。",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 6432,
"need_tools_kwargs": true,
"question": "设 $x, y$ 为不同的正整数, 给出以下三个结论: \n$(1)$ $y^{2}+2 x$ 与 $x^{2}+2 y$ 不可能同时为完全平方数 \n$(2)$ $y^{2}+4 x$ 与 $x^{2}+4 y$ 不可能同时为完全平方数 \n$(3)$ $y^{2}+6 x$ 与 $x^{2}+6 y$ 不可能同时为完全平方数 \n求出其中正确结论的个数。",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Pensioners on one of the planets in Alpha Centauri enjoy painting the cells of $2016 \\times 2016$ boards with gold and silver paints. One day, it turned out that for all the boards painted that day, each $3 \\times 3$ square contained exactly $A$ gold cells, and each $2 \\times 4$ or $4 \\times 2$ rectangle contained exactly $Z$ gold cells. For which values of $A$ and $Z$ is this possible?",
"role": "user"
}
] |
math
|
{
"ground_truth": "8",
"style": "rule"
}
|
{
"index": 6433,
"need_tools_kwargs": true,
"question": "Pensioners on one of the planets in Alpha Centauri enjoy painting the cells of $2016 \\times 2016$ boards with gold and silver paints. One day, it turned out that for all the boards painted that day, each $3 \\times 3$ square contained exactly $A$ gold cells, and each $2 \\times 4$ or $4 \\times 2$ rectangle contained exactly $Z$ gold cells. For which values of $A$ and $Z$ is this possible?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Hust Stockton was the grandfather of which retired pro basketball player?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "John Houston Stockton",
"style": "rule"
}
|
{
"index": 6434,
"need_tools_kwargs": true,
"question": "Hust Stockton was the grandfather of which retired pro basketball player?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Calculate the value of the expression \\(\\sqrt{16-12\\sqrt{3}}+\\sqrt{16+12\\sqrt{3}}\\). Show your work and explain each step of your solution.",
"role": "user"
}
] |
math
|
{
"ground_truth": "4\\sqrt{6}",
"style": "rule"
}
|
{
"index": 6435,
"need_tools_kwargs": true,
"question": "Calculate the value of the expression \\(\\sqrt{16-12\\sqrt{3}}+\\sqrt{16+12\\sqrt{3}}\\). Show your work and explain each step of your 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": "Who is the film dedicated to that Paramount Classics and MTV Films co-purchased the rights to?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Sam Phillips",
"style": "rule"
}
|
{
"index": 6436,
"need_tools_kwargs": true,
"question": "Who is the film dedicated to that Paramount Classics and MTV Films co-purchased the rights to?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Love's Labour's Won is disputed to possibly be a sequel to a comedy where the play closes with the death of the who?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "the Princess's father",
"style": "rule"
}
|
{
"index": 6437,
"need_tools_kwargs": true,
"question": "Love's Labour's Won is disputed to possibly be a sequel to a comedy where the play closes with the death of the who?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which castle obtained by the Earl of Menteith was mostly built in the 16th century?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Lochranza Castle",
"style": "rule"
}
|
{
"index": 6438,
"need_tools_kwargs": true,
"question": "Which castle obtained by the Earl of Menteith was mostly built in the 16th century?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When did the director of film The Night Of The Devils die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "August 17, 1981",
"style": "rule"
}
|
{
"index": 6439,
"need_tools_kwargs": true,
"question": "When did the director of film The Night Of The Devils die?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A regular octagon $ABCDEFGH$ has sides of length two. Find the area of $\\bigtriangleup ADG$. Express your answer in simplest radical form.",
"role": "user"
}
] |
math
|
{
"ground_truth": "4+3\\sqrt{2}",
"style": "rule"
}
|
{
"index": 6440,
"need_tools_kwargs": true,
"question": "A regular octagon $ABCDEFGH$ has sides of length two. Find the area of $\\bigtriangleup ADG$. Express your answer in simplest radical form.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Burnt by the Sun contains a starring role for which Russian actress?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Nadezhda Nikitichna Mikhalkova",
"style": "rule"
}
|
{
"index": 6441,
"need_tools_kwargs": true,
"question": "Burnt by the Sun contains a starring role for which Russian actress?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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, A Dream Of Passion and Heroes Del Aire, have the directors who are from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 6442,
"need_tools_kwargs": true,
"question": "Do both films, A Dream Of Passion and Heroes Del Aire, have the directors who are 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": "The 1961 Western The Two Rode Together starred which Academy Award-winning actress?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Shirley Mae Jones",
"style": "rule"
}
|
{
"index": 6443,
"need_tools_kwargs": true,
"question": "The 1961 Western The Two Rode Together starred which Academy Award-winning actress?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 triangle has vertices \\(A = (4, 3)\\), \\(B = (6, -2)\\), and \\(C = (7, 1)\\). This triangle is reflected about the line \\(x = 6\\) to create a second triangle. Calculate the area of the union of the original triangle and the reflected triangle.",
"role": "user"
}
] |
math
|
{
"ground_truth": "10",
"style": "rule"
}
|
{
"index": 6444,
"need_tools_kwargs": true,
"question": "A triangle has vertices \\(A = (4, 3)\\), \\(B = (6, -2)\\), and \\(C = (7, 1)\\). This triangle is reflected about the line \\(x = 6\\) to create a second triangle. Calculate the area of the union of the original triangle and the reflected triangle.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where was this the actor born in 1899 who starred in The Tuttles of Tahiti trained at?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "London at the Royal Academy of Dramatic Art",
"style": "rule"
}
|
{
"index": 6445,
"need_tools_kwargs": true,
"question": "Where was this the actor born in 1899 who starred in The Tuttles of Tahiti trained at?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given that $\\overrightarrow{a}+ \\overrightarrow{b}+ \\overrightarrow{c}= \\overrightarrow{0}$, the angle between $\\overrightarrow{a}$ and $\\overrightarrow{c}$ is $60^{\\circ}$, and $|\\overrightarrow{b}|= \\sqrt {3}|\\overrightarrow{a}|$, find the value of $\\cos < \\overrightarrow{a},\\overrightarrow{b} >$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "- \\frac {\\sqrt {3}}{2}",
"style": "rule"
}
|
{
"index": 6446,
"need_tools_kwargs": true,
"question": "Given that $\\overrightarrow{a}+ \\overrightarrow{b}+ \\overrightarrow{c}= \\overrightarrow{0}$, the angle between $\\overrightarrow{a}$ and $\\overrightarrow{c}$ is $60^{\\circ}$, and $|\\overrightarrow{b}|= \\sqrt {3}|\\overrightarrow{a}|$, find the value of $\\cos < \\overrightarrow{a},\\overrightarrow{b} >$.",
"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": "When did the director of film The Kid From Texas die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "21 August 1958",
"style": "rule"
}
|
{
"index": 6447,
"need_tools_kwargs": true,
"question": "When did the director of film The Kid From Texas die?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who lived a longer life, Cid Corman or Witold Gombrowicz?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Cid (Sidney) Corman",
"style": "rule"
}
|
{
"index": 6448,
"need_tools_kwargs": true,
"question": "Who lived a longer life, Cid Corman or Witold Gombrowicz?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 goods train runs at a speed of 72 kmph and crosses a 270 m long platform in a certain amount of time. The length of the goods train is 250.0416 meters. How many seconds does it take for the train to cross the platform?",
"role": "user"
}
] |
math
|
{
"ground_truth": "26.00208",
"style": "rule"
}
|
{
"index": 6449,
"need_tools_kwargs": true,
"question": "A goods train runs at a speed of 72 kmph and crosses a 270 m long platform in a certain amount of time. The length of the goods train is 250.0416 meters. How many seconds does it take for the train to cross the platform?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Silver Threads Among The Gold (1911 Film) is from?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American",
"style": "rule"
}
|
{
"index": 6450,
"need_tools_kwargs": true,
"question": "Which country the director of film Silver Threads Among The Gold (1911 Film) 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": "Let the polynomial \\( P(x) = x^{3} + a x^{2} + b x + c \\) have roots \\( \\cos \\frac{2 \\pi}{7}, \\cos \\frac{4 \\pi}{7}, \\cos \\frac{6 \\pi}{7} \\). Find the value of \\( a b c \\).\n\n(A) \\( -\\frac{3}{49} \\) \n(B) \\( -\\frac{1}{28} \\) \n(C) \\( \\frac{\\sqrt[3]{7}}{64} \\) \n(D) \\( \\frac{1}{32} \\) \n(E) \\( \\frac{1}{28} \\)",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{1}{32}",
"style": "rule"
}
|
{
"index": 6451,
"need_tools_kwargs": true,
"question": "Let the polynomial \\( P(x) = x^{3} + a x^{2} + b x + c \\) have roots \\( \\cos \\frac{2 \\pi}{7}, \\cos \\frac{4 \\pi}{7}, \\cos \\frac{6 \\pi}{7} \\). Find the value of \\( a b c \\).\n\n(A) \\( -\\frac{3}{49} \\) \n(B) \\( -\\frac{1}{28} \\) \n(C) \\( \\frac{\\sqrt[3]{7}}{64} \\) \n(D) \\( \\frac{1}{32} \\) \n(E) \\( \\frac{1}{28} \\)",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 band's drummer assembled the compilation A New Wave of Brith Heavy Metal '79 Revisited?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Metallica",
"style": "rule"
}
|
{
"index": 6452,
"need_tools_kwargs": true,
"question": "What band's drummer assembled the compilation A New Wave of Brith Heavy Metal '79 Revisited?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 two-time NBA All-Star and 2004 member of Team USA left the Los Angeles Lakers after the worst season in franchise history in 2014-2015?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Carlos Boozer",
"style": "rule"
}
|
{
"index": 6453,
"need_tools_kwargs": true,
"question": "What two-time NBA All-Star and 2004 member of Team USA left the Los Angeles Lakers after the worst season in franchise history in 2014-2015?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In triangle \\( ABC \\), segment \\( [BD] \\) is a median, where \\( D \\) is the midpoint of side \\( AC \\). Given that \\( m(\\widehat{ABD}) = 90^\\circ \\), \\( |AB| = 2 \\), and \\( |AC| = 6 \\), determine the length of side \\( |BC| \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "2\\sqrt{14}",
"style": "rule"
}
|
{
"index": 6454,
"need_tools_kwargs": true,
"question": "In triangle \\( ABC \\), segment \\( [BD] \\) is a median, where \\( D \\) is the midpoint of side \\( AC \\). Given that \\( m(\\widehat{ABD}) = 90^\\circ \\), \\( |AB| = 2 \\), and \\( |AC| = 6 \\), determine the length of side \\( |BC| \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "已知 \\( p(x) \\) 为 5 次多项式。若 \\( x=0 \\) 为 \\( p(x)+1=0 \\) 的三重根，\\( x=1 \\) 为 \\( p(x)-1=0 \\) 的三重根，则 \\( p(x) \\) 的表达式为 \\( ax^5 + bx^4 + cx^3 + dx^2 + ex + f \\)。请计算 \\( a + b + c + d + e + f \\) 的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"index": 6455,
"need_tools_kwargs": true,
"question": "已知 \\( p(x) \\) 为 5 次多项式。若 \\( x=0 \\) 为 \\( p(x)+1=0 \\) 的三重根，\\( x=1 \\) 为 \\( p(x)-1=0 \\) 的三重根，则 \\( p(x) \\) 的表达式为 \\( ax^5 + bx^4 + cx^3 + dx^2 + ex + f \\)。请计算 \\( a + b + c + d + e + f \\) 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": "Let \\( N \\) be the smallest positive integer whose digits have a product of 2000. The sum of the digits of \\( N \\) is\n(A) 21\n(B) 23\n(C) 25\n(D) 27\n(E) 29",
"role": "user"
}
] |
math
|
{
"ground_truth": "25",
"style": "rule"
}
|
{
"index": 6456,
"need_tools_kwargs": true,
"question": "Let \\( N \\) be the smallest positive integer whose digits have a product of 2000. The sum of the digits of \\( N \\) is\n(A) 21\n(B) 23\n(C) 25\n(D) 27\n(E) 29",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When did the composer of song Run Run Run (The Velvet Underground Song) die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "October 27, 2013",
"style": "rule"
}
|
{
"index": 6457,
"need_tools_kwargs": true,
"question": "When did the composer of song Run Run Run (The Velvet Underground Song) die?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who is the brother of the lead singer of I Wish It Would Rain?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Jimmy Ruffin",
"style": "rule"
}
|
{
"index": 6458,
"need_tools_kwargs": true,
"question": "Who is the brother of the lead singer of I Wish It Would Rain?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 order created the group of assassins to which the character, played by James Frain in Season 2 of \"Gotham\", belongs?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "The Sacred Order of Saint Dumas",
"style": "rule"
}
|
{
"index": 6459,
"need_tools_kwargs": true,
"question": "What order created the group of assassins to which the character, played by James Frain in Season 2 of \"Gotham\", belongs?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Grace (2009 Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American",
"style": "rule"
}
|
{
"index": 6460,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Grace (2009 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": "Where was the place of death of the director of film The Eyes Of Annie Jones?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Los Angeles",
"style": "rule"
}
|
{
"index": 6461,
"need_tools_kwargs": true,
"question": "Where was the place of death of the director of film The Eyes Of Annie Jones?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Patrick Reynolds is an American music executive, record producer and songwriter noted for working with prominent artists such as an American rapper and actor from where?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Queens, New York",
"style": "rule"
}
|
{
"index": 6462,
"need_tools_kwargs": true,
"question": "Patrick Reynolds is an American music executive, record producer and songwriter noted for working with prominent artists such as an American rapper and actor from where?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 what year was the coach who founded \"Compete To Create\" born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1951",
"style": "rule"
}
|
{
"index": 6463,
"need_tools_kwargs": true,
"question": "In what year was the coach who founded \"Compete To Create\" 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": "\"For all $x \\in [1, 2]$, $x^2 - a \\leq 0$ is a true statement, then the range of $a$ is ______.\"",
"role": "user"
}
] |
math
|
{
"ground_truth": "a \\geq 4",
"style": "rule"
}
|
{
"index": 6464,
"need_tools_kwargs": true,
"question": "\"For all $x \\in [1, 2]$, $x^2 - a \\leq 0$ is a true statement, then the range of $a$ is ______.\"",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "If the intersection point M of the line $l_1: x+ay+\\sqrt{3}a=0$ with $2x+3y-6=0$ is in the first quadrant, then the range of values for the inclination angle of $l_1$ is __________.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\left(\\frac{\\pi}{6}, \\frac{\\pi}{2}\\right)",
"style": "rule"
}
|
{
"index": 6465,
"need_tools_kwargs": true,
"question": "If the intersection point M of the line $l_1: x+ay+\\sqrt{3}a=0$ with $2x+3y-6=0$ is in the first quadrant, then the range of values for the inclination angle of $l_1$ is __________.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who wrote the screenplay for the American psychological thriller film in which Kimberly Beck played a role?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Jay Presson Allen",
"style": "rule"
}
|
{
"index": 6466,
"need_tools_kwargs": true,
"question": "Who wrote the screenplay for the American psychological thriller film in which Kimberly Beck played a role?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What country group, forned in Dallas, Texas, 1990, has a nationionally recognized fiddle player as a founding member?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Dixie Chicks",
"style": "rule"
}
|
{
"index": 6467,
"need_tools_kwargs": true,
"question": "What country group, forned in Dallas, Texas, 1990, has a nationionally recognized fiddle player as a founding member?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 positive sequence $\\left\\{ a_n \\right\\}$ with the sum of the first $n$ terms denoted as $S_n$, and $4S_n = (a_n + 1)^2$.\n\n(Ⅰ) Find the general formula for the sequence $\\left\\{ a_n \\right\\}$;\n\n(Ⅱ) Find the sum of the first $n$ terms, $T_n$, for the sequence $\\left\\{ \\frac{2}{a_n a_{n+1}} \\right\\}$;\n\n(Ⅲ) If for any $n \\in N^*$, $T_n \\geqslant k$ always holds, find the range of values for $k$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "k \\leqslant \\frac{2}{3}",
"style": "rule"
}
|
{
"index": 6468,
"need_tools_kwargs": true,
"question": "Given a positive sequence $\\left\\{ a_n \\right\\}$ with the sum of the first $n$ terms denoted as $S_n$, and $4S_n = (a_n + 1)^2$.\n\n(Ⅰ) Find the general formula for the sequence $\\left\\{ a_n \\right\\}$;\n\n(Ⅱ) Find the sum of the first $n$ terms, $T_n$, for the sequence $\\left\\{ \\frac{2}{a_n a_{n+1}} \\right\\}$;\n\n(Ⅲ) If for any $n \\in N^*$, $T_n \\geqslant k$ always holds, find the range of values for $k$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What was the profession of the man who called Log College's structure very plain in his journal?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "cleric",
"style": "rule"
}
|
{
"index": 6469,
"need_tools_kwargs": true,
"question": "What was the profession of the man who called Log College's structure very plain in his journal?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 pairs of real numbers $(x, y)$ are there such that \\( x^{4} - 2^{-y^{2}} x^{2} - \\lfloor x^{2} \\rfloor + 1 = 0 \\), where \\( \\lfloor a \\rfloor \\) denotes the greatest integer not exceeding \\( a \\)?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 6470,
"need_tools_kwargs": true,
"question": "How many pairs of real numbers $(x, y)$ are there such that \\( x^{4} - 2^{-y^{2}} x^{2} - \\lfloor x^{2} \\rfloor + 1 = 0 \\), where \\( \\lfloor a \\rfloor \\) denotes the greatest integer not exceeding \\( 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": "Determine the value of $k$ if the lines with equations $y = 5x + 3$ and $y = (3k)x + 7$ are parallel.",
"role": "user"
}
] |
math
|
{
"ground_truth": "k = \\frac{5}{3}",
"style": "rule"
}
|
{
"index": 6471,
"need_tools_kwargs": true,
"question": "Determine the value of $k$ if the lines with equations $y = 5x + 3$ and $y = (3k)x + 7$ are parallel.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 a given circle, six points $A$, $B$, $C$, $D$, $E$, and $F$ are chosen at random, independently and uniformly with respect to arc length. Determine the probability that the two triangles $ABC$ and $DEF$ are disjoint, i.e., have no common points. The original answer is in \\frac{k}{m} format, please give the value of k + m.",
"role": "user"
}
] |
math
|
{
"ground_truth": "13",
"style": "rule"
}
|
{
"index": 6472,
"need_tools_kwargs": true,
"question": "On a given circle, six points $A$, $B$, $C$, $D$, $E$, and $F$ are chosen at random, independently and uniformly with respect to arc length. Determine the probability that the two triangles $ABC$ and $DEF$ are disjoint, i.e., have no common points. The original answer is in \\frac{k}{m} format, please give the value of k + m.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Vehicle $A$ is traveling at 60 mph, Vehicle $B$ at 50 mph, and Vehicle $C$ at 70 mph. Vehicles $A$ and $B$ are moving in the same direction with $B$ in front of $A$. Vehicle $C$ is approaching $A$ from the opposite direction. The distance between $A$ and $B$ is 100 ft, and the distance between $A$ and $C$ is 500 ft. There is also a speed limit of 80 mph. Calculate by how many mph Vehicle $A$ must increase its speed to ensure it overtakes $B$ before it meets $C$, given it does not exceed the speed limit.\nA. 15 mph\nB. 18 mph\nC. 20 mph\nD. 22 mph",
"role": "user"
}
] |
math
|
{
"ground_truth": "C. 20 mph",
"style": "rule"
}
|
{
"index": 6473,
"need_tools_kwargs": true,
"question": "Vehicle $A$ is traveling at 60 mph, Vehicle $B$ at 50 mph, and Vehicle $C$ at 70 mph. Vehicles $A$ and $B$ are moving in the same direction with $B$ in front of $A$. Vehicle $C$ is approaching $A$ from the opposite direction. The distance between $A$ and $B$ is 100 ft, and the distance between $A$ and $C$ is 500 ft. There is also a speed limit of 80 mph. Calculate by how many mph Vehicle $A$ must increase its speed to ensure it overtakes $B$ before it meets $C$, given it does not exceed the speed limit.\nA. 15 mph\nB. 18 mph\nC. 20 mph\nD. 22 mph",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 high school sold gift wrap. The gift wrap in solid colors sold for 4.00 dollars per roll and the print gift wrap sold for some amount per roll. The total number of rolls sold was 480 rolls, and the total amount of money collected was 2,340.00 dollars. They sold 210 print rolls. How much did the print gift wrap sell for per roll?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\$6.00",
"style": "rule"
}
|
{
"index": 6474,
"need_tools_kwargs": true,
"question": "A high school sold gift wrap. The gift wrap in solid colors sold for 4.00 dollars per roll and the print gift wrap sold for some amount per roll. The total number of rolls sold was 480 rolls, and the total amount of money collected was 2,340.00 dollars. They sold 210 print rolls. How much did the print gift wrap sell for per roll?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Why did the performer of song Treasure Of Love die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Respiratory Failure",
"style": "rule"
}
|
{
"index": 6475,
"need_tools_kwargs": true,
"question": "Why did the performer of song Treasure Of Love die?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "From which Italian university did politician Alberto Beneduce earn his mathematics degree?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "University of Naples",
"style": "rule"
}
|
{
"index": 6476,
"need_tools_kwargs": true,
"question": "From which Italian university did politician Alberto Beneduce earn his mathematics degree?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Between Death in the Afternoon and Hennchata, whose inventor has more literary fame?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Death in the Afternoon",
"style": "rule"
}
|
{
"index": 6477,
"need_tools_kwargs": true,
"question": "Between Death in the Afternoon and Hennchata, whose inventor has more literary fame?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 statement, \"If \\( n \\) is not prime, then \\( n-5 \\) is prime.\" Identify a value of \\( n \\) that serves as a counterexample to this statement by providing a composite number \\( n \\) such that \\( n-5 \\) is also not prime. Explain your reasoning.",
"role": "user"
}
] |
math
|
{
"ground_truth": "20",
"style": "rule"
}
|
{
"index": 6478,
"need_tools_kwargs": true,
"question": "Consider the statement, \"If \\( n \\) is not prime, then \\( n-5 \\) is prime.\" Identify a value of \\( n \\) that serves as a counterexample to this statement by providing a composite number \\( n \\) such that \\( n-5 \\) is also not prime. Explain your reasoning.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The numbers from 1 to 150, inclusive, are placed in a bag and a number is randomly selected from the bag. What is the probability it is not a perfect power (integers that can be expressed as $x^{y}$ where $x$ is an integer and $y$ is an integer greater than 1. For example, $2^{4}=16$ is a perfect power, while $2\\times3=6$ is not a perfect power)? Express your answer as a common fraction.The answer is in the form \frac{m}{n}, where gcd(m, n) = 1. Please provide the value of m + n.",
"role": "user"
}
] |
math
|
{
"ground_truth": "283",
"style": "rule"
}
|
{
"index": 6479,
"need_tools_kwargs": true,
"question": "The numbers from 1 to 150, inclusive, are placed in a bag and a number is randomly selected from the bag. What is the probability it is not a perfect power (integers that can be expressed as $x^{y}$ where $x$ is an integer and $y$ is an integer greater than 1. For example, $2^{4}=16$ is a perfect power, while $2\\times3=6$ is not a perfect power)? Express your answer as a common fraction.The answer is in the form \frac{m}{n}, where gcd(m, n) = 1. Please provide the value of m + n.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $m,n$ be natural numbers such that $\\hspace{2cm} m+3n-5=2LCM(m,n)-11GCD(m,n).$ Find the maximum possible value of $m+n$ .",
"role": "user"
}
] |
math
|
{
"ground_truth": "70",
"style": "rule"
}
|
{
"index": 6480,
"need_tools_kwargs": true,
"question": "Let $m,n$ be natural numbers such that $\\hspace{2cm} m+3n-5=2LCM(m,n)-11GCD(m,n).$ Find the maximum possible value of $m+n$ .",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "For what real values of \\( k \\) do \\( 1988x^2 + kx + 8891 \\) and \\( 8891x^2 + kx + 1988 \\) have a common zero?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\pm 10879",
"style": "rule"
}
|
{
"index": 6481,
"need_tools_kwargs": true,
"question": "For what real values of \\( k \\) do \\( 1988x^2 + kx + 8891 \\) and \\( 8891x^2 + kx + 1988 \\) have a common zero?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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, Olusjerd and Takab Deh Geh, located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 6482,
"need_tools_kwargs": true,
"question": "Are both villages, Olusjerd and Takab Deh Geh, located in the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "How many maxi challenges did Sharon Needles win in Season 4 of RPDR?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"index": 6483,
"need_tools_kwargs": true,
"question": "How many maxi challenges did Sharon Needles win in Season 4 of RPDR?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "If the three points $$\\begin{aligned} & (1, a, b) \\\\ & (a, 2, b) \\\\ & (a, b, 3) \\end{aligned}$$ are collinear (in 3-space), what is the value of $a+b$ ?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"index": 6484,
"need_tools_kwargs": true,
"question": "If the three points $$\\begin{aligned} & (1, a, b) \\\\ & (a, 2, b) \\\\ & (a, b, 3) \\end{aligned}$$ are collinear (in 3-space), what is the value of $a+b$ ?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Solve for the largest value of $x$ such that $5(9x^2+9x+10) = x(9x-40).$ Express your answer as a simplified common fraction.",
"role": "user"
}
] |
math
|
{
"ground_truth": "-\\dfrac{10}{9}",
"style": "rule"
}
|
{
"index": 6485,
"need_tools_kwargs": true,
"question": "Solve for the largest value of $x$ such that $5(9x^2+9x+10) = x(9x-40).$ Express your answer as a simplified common fraction.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Vicente is on a trip and decides to buy 5 kilograms of rice and 3 pounds of meat. Each kilogram of rice is €2 and a pound of meat is £5. Additionally, there is a 10% discount on the rice, and a 5% sales tax on the meat. The exchange rates are: €1 = $1.20 and £1 = $1.35. Calculate the total amount Vicente spent in US dollars ($).",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\$32.06",
"style": "rule"
}
|
{
"index": 6486,
"need_tools_kwargs": true,
"question": "Vicente is on a trip and decides to buy 5 kilograms of rice and 3 pounds of meat. Each kilogram of rice is €2 and a pound of meat is £5. Additionally, there is a 10% discount on the rice, and a 5% sales tax on the meat. The exchange rates are: €1 = $1.20 and £1 = $1.35. Calculate the total amount Vicente spent in US dollars ($).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Let The Game Begin is from?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "India",
"style": "rule"
}
|
{
"index": 6487,
"need_tools_kwargs": true,
"question": "Which country the director of film Let The Game Begin 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": "Ivan Tsarevich is fighting the Dragon Gorynych on the Kalinov Bridge. The Dragon has 198 heads. With one swing of his sword, Ivan Tsarevich can cut off five heads. However, new heads immediately grow back, the number of which is equal to the remainder when the number of heads left after Ivan's swing is divided by 9. If the remaining number of heads is divisible by 9, no new heads grow. If the Dragon has five or fewer heads before the swing, Ivan Tsarevich can kill the Dragon with one swing. How many sword swings does Ivan Tsarevich need to defeat the Dragon Gorynych?",
"role": "user"
}
] |
math
|
{
"ground_truth": "40",
"style": "rule"
}
|
{
"index": 6488,
"need_tools_kwargs": true,
"question": "Ivan Tsarevich is fighting the Dragon Gorynych on the Kalinov Bridge. The Dragon has 198 heads. With one swing of his sword, Ivan Tsarevich can cut off five heads. However, new heads immediately grow back, the number of which is equal to the remainder when the number of heads left after Ivan's swing is divided by 9. If the remaining number of heads is divisible by 9, no new heads grow. If the Dragon has five or fewer heads before the swing, Ivan Tsarevich can kill the Dragon with one swing. How many sword swings does Ivan Tsarevich need to defeat the Dragon Gorynych?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Line $m$ is parallel to line $n$ and the measure of $\\angle 1$ is $\\frac 18$ the measure of $\\angle 2$. What is the degree measure of $\\angle 5$? [asy] size(100); defaultpen(linewidth(0.7)+fontsize(9));\npath m = (-1.35,0.72)--(0.45,0.72), n = (-1,0)--(1,0), k = (-0.67,1.09)--(0.27,-0.48);\n\npair A = intersectionpoints(m,k)[0], B = intersectionpoints(n,k)[0];\ndraw(m,Arrows(4)); draw(n,Arrows(4)); draw(k,Arrows(4));\n\nlabel(\"$k$\",(0.27,-0.48),SE); label(\"$n$\",(1,0),NE); label(\"$m$\",(0.45,0.72),NE);\nlabel(\"$1$\",A,(-2.5,1.5));\nlabel(\"$2$\",B,(1,1));\nlabel(\"$3$\",B,(-2.5,1.5));\nlabel(\"$4$\",B,(-1,-1));\nlabel(\"$5$\",B,(2.5,-1.5));\n[/asy]",
"role": "user"
}
] |
math
|
{
"ground_truth": "20^\\circ",
"style": "rule"
}
|
{
"index": 6489,
"need_tools_kwargs": true,
"question": "Line $m$ is parallel to line $n$ and the measure of $\\angle 1$ is $\\frac 18$ the measure of $\\angle 2$. What is the degree measure of $\\angle 5$? [asy] size(100); defaultpen(linewidth(0.7)+fontsize(9));\npath m = (-1.35,0.72)--(0.45,0.72), n = (-1,0)--(1,0), k = (-0.67,1.09)--(0.27,-0.48);\n\npair A = intersectionpoints(m,k)[0], B = intersectionpoints(n,k)[0];\ndraw(m,Arrows(4)); draw(n,Arrows(4)); draw(k,Arrows(4));\n\nlabel(\"$k$\",(0.27,-0.48),SE); label(\"$n$\",(1,0),NE); label(\"$m$\",(0.45,0.72),NE);\nlabel(\"$1$\",A,(-2.5,1.5));\nlabel(\"$2$\",B,(1,1));\nlabel(\"$3$\",B,(-2.5,1.5));\nlabel(\"$4$\",B,(-1,-1));\nlabel(\"$5$\",B,(2.5,-1.5));\n[/asy]",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Mark Heard was originally from the city nicknamed what?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "\"the Heart of Georgia.\"",
"style": "rule"
}
|
{
"index": 6490,
"need_tools_kwargs": true,
"question": "Mark Heard was originally from the city nicknamed what?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the place of birth of the director of film In My Sleep?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American",
"style": "rule"
}
|
{
"index": 6491,
"need_tools_kwargs": true,
"question": "What is the place of birth of the director of film In My Sleep?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Mrs. Walter gave an exam in a mathematics class of six students. After entering each score into a new spreadsheet system that recalculates the class average, she noticed that the average was always a whole number. The scores, listed in ascending order, were 73, 78, 82, 84, 87, and 95. At the end, she observed that the median of the scores was precisely 83. Determine the last score that Mrs. Walter entered.",
"role": "user"
}
] |
math
|
{
"ground_truth": "87",
"style": "rule"
}
|
{
"index": 6492,
"need_tools_kwargs": true,
"question": "Mrs. Walter gave an exam in a mathematics class of six students. After entering each score into a new spreadsheet system that recalculates the class average, she noticed that the average was always a whole number. The scores, listed in ascending order, were 73, 78, 82, 84, 87, and 95. At the end, she observed that the median of the scores was precisely 83. Determine the last score that Mrs. Walter entered.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "For which values of \\( x \\) is the following expression defined?\n\n$$\n\\log _{3}\\left(1-\\log _{0.5}\\left(x^{2}-2x-2.5\\right)\\right)\n$$",
"role": "user"
}
] |
math
|
{
"ground_truth": " x \\in (-\\infty, -1) \\cup (3, +\\infty) ",
"style": "rule"
}
|
{
"index": 6493,
"need_tools_kwargs": true,
"question": "For which values of \\( x \\) is the following expression defined?\n\n$$\n\\log _{3}\\left(1-\\log _{0.5}\\left(x^{2}-2x-2.5\\right)\\right)\n$$",
"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 person can commute by train or car. If he takes the train to work in the morning, he takes the car in the afternoon; conversely, if he takes the car home in the afternoon, he would have taken the train to work in the morning. Over \\( x \\) days, this person took the train 9 times, took the car in the morning 8 times, and took the car in the afternoon 15 times. Determine the value of \\( x \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "16",
"style": "rule"
}
|
{
"index": 6494,
"need_tools_kwargs": true,
"question": "A person can commute by train or car. If he takes the train to work in the morning, he takes the car in the afternoon; conversely, if he takes the car home in the afternoon, he would have taken the train to work in the morning. Over \\( x \\) days, this person took the train 9 times, took the car in the morning 8 times, and took the car in the afternoon 15 times. Determine the value of \\( 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": "The New Year's gala has a total of 8 programs, 3 of which are non-singing programs. When arranging the program list, it is stipulated that the non-singing programs are not adjacent, and the first and last programs are singing programs. How many different ways are there to arrange the program list?",
"role": "user"
}
] |
math
|
{
"ground_truth": "720",
"style": "rule"
}
|
{
"index": 6495,
"need_tools_kwargs": true,
"question": "The New Year's gala has a total of 8 programs, 3 of which are non-singing programs. When arranging the program list, it is stipulated that the non-singing programs are not adjacent, and the first and last programs are singing programs. How many different ways are there to arrange the program list?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Add $256_{9} + 85_{9} + 155_{9}$ and express your answer in base $9$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "5176_{9}",
"style": "rule"
}
|
{
"index": 6496,
"need_tools_kwargs": true,
"question": "Add $256_{9} + 85_{9} + 155_{9}$ and express your answer in base $9$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In $\\triangle ABC$, $\\overrightarrow {AD}=3 \\overrightarrow {DC}$, $\\overrightarrow {BP}=2 \\overrightarrow {PD}$, if $\\overrightarrow {AP}=λ \\overrightarrow {BA}+μ \\overrightarrow {BC}$, then $λ+μ=\\_\\_\\_\\_\\_\\_$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "- \\frac {1}{3}",
"style": "rule"
}
|
{
"index": 6497,
"need_tools_kwargs": true,
"question": "In $\\triangle ABC$, $\\overrightarrow {AD}=3 \\overrightarrow {DC}$, $\\overrightarrow {BP}=2 \\overrightarrow {PD}$, if $\\overrightarrow {AP}=λ \\overrightarrow {BA}+μ \\overrightarrow {BC}$, then $λ+μ=\\_\\_\\_\\_\\_\\_$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the date of death of Mahisente Habte Mariam's husband?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "24 April 1962",
"style": "rule"
}
|
{
"index": 6498,
"need_tools_kwargs": true,
"question": "What is the date of death of Mahisente Habte Mariam'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": "Find the sum of all the integers $N > 1$ with the properties that the each prime factor of $N $ is either $2, 3,$ or $5,$ and $N$ is not divisible by any perfect cube greater than $1.$",
"role": "user"
}
] |
math
|
{
"ground_truth": "2820",
"style": "rule"
}
|
{
"index": 6499,
"need_tools_kwargs": true,
"question": "Find the sum of all the integers $N > 1$ with the properties that the each prime factor of $N $ is either $2, 3,$ or $5,$ and $N$ is not divisible by any perfect cube greater than $1.$",
"split": "train"
}
| null |
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