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": "\nIn a box, there are 3 red, 4 gold, and 5 silver stars. Stars are randomly drawn one by one from the box and placed on a Christmas tree. What is the probability that a red star is placed on the top of the tree, no more red stars are on the tree, and there are exactly 3 gold stars on the tree, if a total of 6 stars are drawn from the box?",
"role": "user"
}
] |
math
|
{
"ground_truth": "0.0216",
"style": "rule"
}
|
{
"index": 7200,
"need_tools_kwargs": true,
"question": "\nIn a box, there are 3 red, 4 gold, and 5 silver stars. Stars are randomly drawn one by one from the box and placed on a Christmas tree. What is the probability that a red star is placed on the top of the tree, no more red stars are on the tree, and there are exactly 3 gold stars on the tree, if a total of 6 stars are drawn from the box?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 sets $M=\\{(x,y)|x^2+2y^2=3\\}$, $N=\\{(x,y)|y=mx+b\\}$. If for all $m \\in \\mathbb{R}$, there is always $M \\cap N \\neq \\emptyset$, then the range of values for $b$ is ( )\n\nA: $\\left[-\\frac{\\sqrt{6}}{2}, \\frac{\\sqrt{6}}{2}\\right]$\n\nB: $\\left(-\\frac{\\sqrt{6}}{2}, \\frac{\\sqrt{6}}{2}\\right)$\n\nC: $\\left(-\\frac{2\\sqrt{3}}{3}, \\frac{2\\sqrt{3}}{3}\\right)$\n\nD: $\\left[-\\frac{2\\sqrt{3}}{3}, \\frac{2\\sqrt{3}}{3}\\right]$",
"role": "user"
}
] |
math
|
{
"ground_truth": "-\\frac{\\sqrt{6}}{2} \\leq b \\leq \\frac{\\sqrt{6}}{2}",
"style": "rule"
}
|
{
"index": 7201,
"need_tools_kwargs": true,
"question": "Given the sets $M=\\{(x,y)|x^2+2y^2=3\\}$, $N=\\{(x,y)|y=mx+b\\}$. If for all $m \\in \\mathbb{R}$, there is always $M \\cap N \\neq \\emptyset$, then the range of values for $b$ is ( )\n\nA: $\\left[-\\frac{\\sqrt{6}}{2}, \\frac{\\sqrt{6}}{2}\\right]$\n\nB: $\\left(-\\frac{\\sqrt{6}}{2}, \\frac{\\sqrt{6}}{2}\\right)$\n\nC: $\\left(-\\frac{2\\sqrt{3}}{3}, \\frac{2\\sqrt{3}}{3}\\right)$\n\nD: $\\left[-\\frac{2\\sqrt{3}}{3}, \\frac{2\\sqrt{3}}{3}\\right]$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Are director of film Sisila Gini Gani and director of film Predators (Film) from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 7202,
"need_tools_kwargs": true,
"question": "Are director of film Sisila Gini Gani and director of film Predators (Film) from the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Consider an equilateral triangle \\(ABC\\). A line parallel to line \\(AC\\) intersects lines \\(AB\\) and \\(BC\\) at points \\(M\\) and \\(P\\) respectively. Let point \\(D\\) be the centroid of triangle \\(PMB\\), and point \\(E\\) be the midpoint of segment \\(AP\\). Calculate the angles of triangle \\(DEC\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "606060",
"style": "rule"
}
|
{
"index": 7203,
"need_tools_kwargs": true,
"question": "Consider an equilateral triangle \\(ABC\\). A line parallel to line \\(AC\\) intersects lines \\(AB\\) and \\(BC\\) at points \\(M\\) and \\(P\\) respectively. Let point \\(D\\) be the centroid of triangle \\(PMB\\), and point \\(E\\) be the midpoint of segment \\(AP\\). Calculate the angles of triangle \\(DEC\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Do director of film Déjà Mort and director of film Mechanical Suite have the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 7204,
"need_tools_kwargs": true,
"question": "Do director of film Déjà Mort and director of film Mechanical Suite have the same nationality?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "已知 $\\sin (2 \\alpha+\\beta)=3 \\sin \\beta$ ，设 $\\tan \\alpha=x, \\tan \\beta=y$ ，记 $y=f(x)$ 。求 $f(x)$ 的表达式。已知答案形式为$f(x) = \\frac{kx}{1+mx^2}$，请给出k+m的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 7205,
"need_tools_kwargs": true,
"question": "已知 $\\sin (2 \\alpha+\\beta)=3 \\sin \\beta$ ，设 $\\tan \\alpha=x, \\tan \\beta=y$ ，记 $y=f(x)$ 。求 $f(x)$ 的表达式。已知答案形式为$f(x) = \\frac{kx}{1+mx^2}$，请给出k+m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": "Martin decided to spend all his savings on sweets. He found out that he could buy three cream puffs and $3 \\mathrm{dl}$ of Kofola, or $18 \\mathrm{dkg}$ of yogurt raisins, or $12 \\mathrm{dkg}$ of yogurt raisins and half a liter of Kofola. In the end, he bought one cream puff and $6 \\mathrm{dl}$ of Kofola. How many grams of yogurt raisins does he have left over?",
"role": "user"
}
] |
math
|
{
"ground_truth": "60",
"style": "rule"
}
|
{
"index": 7206,
"need_tools_kwargs": true,
"question": "Martin decided to spend all his savings on sweets. He found out that he could buy three cream puffs and $3 \\mathrm{dl}$ of Kofola, or $18 \\mathrm{dkg}$ of yogurt raisins, or $12 \\mathrm{dkg}$ of yogurt raisins and half a liter of Kofola. In the end, he bought one cream puff and $6 \\mathrm{dl}$ of Kofola. How many grams of yogurt raisins does he have left over?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Halloween $31$ children walked into the principal's office asking for candy. They can be classified into three types: Some always lie; some always tell the truth; and some alternately lie and tell the truth. The alternaters arbitrarily choose their first response, either a lie or the truth, but each subsequent statement has the opposite truth value from its predecessor. The principal asked everyone the same three questions in this order. \n \n\"Are you a truth-teller?\" The principal gave a piece of candy to each of the $22$ children who answered yes. \n \n\"Are you an alternater?\" The principal gave a piece of candy to each of the $15$ children who answered yes. \n \n\"Are you a liar?\" The principal gave a piece of candy to each of the $9$ children who answered yes. \n \nHow many pieces of candy in all did the principal give to the children who always tell the truth?",
"role": "user"
}
] |
math
|
{
"ground_truth": "7",
"style": "rule"
}
|
{
"index": 7207,
"need_tools_kwargs": true,
"question": "On Halloween $31$ children walked into the principal's office asking for candy. They can be classified into three types: Some always lie; some always tell the truth; and some alternately lie and tell the truth. The alternaters arbitrarily choose their first response, either a lie or the truth, but each subsequent statement has the opposite truth value from its predecessor. The principal asked everyone the same three questions in this order. \n \n\"Are you a truth-teller?\" The principal gave a piece of candy to each of the $22$ children who answered yes. \n \n\"Are you an alternater?\" The principal gave a piece of candy to each of the $15$ children who answered yes. \n \n\"Are you a liar?\" The principal gave a piece of candy to each of the $9$ children who answered yes. \n \nHow many pieces of candy in all did the principal give to the children who always tell the truth?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which country the director of film The House Of Tomorrow (1949 Film) is from?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American",
"style": "rule"
}
|
{
"index": 7208,
"need_tools_kwargs": true,
"question": "Which country the director of film The House Of Tomorrow (1949 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": "Which film came out first, Desyat Negrityat or Back To Mom'S?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Desyat Negrityat",
"style": "rule"
}
|
{
"index": 7209,
"need_tools_kwargs": true,
"question": "Which film came out first, Desyat Negrityat or Back To Mom'S?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In the diagram, $AB$ is parallel to $DC,$ and $ACE$ is a straight line. What is the value of $x?$ [asy]\ndraw((0,0)--(-.5,5)--(8,5)--(6.5,0)--cycle);\ndraw((-.5,5)--(8.5,-10/7));\nlabel(\"$A$\",(-.5,5),W);\nlabel(\"$B$\",(8,5),E);\nlabel(\"$C$\",(6.5,0),S);\nlabel(\"$D$\",(0,0),SW);\nlabel(\"$E$\",(8.5,-10/7),S);\ndraw((2,0)--(3,0),Arrow);\ndraw((3,0)--(4,0),Arrow);\ndraw((2,5)--(3,5),Arrow);\nlabel(\"$x^\\circ$\",(0.1,4));\ndraw((3,5)--(4,5),Arrow);\nlabel(\"$115^\\circ$\",(0,0),NE);\nlabel(\"$75^\\circ$\",(8,5),SW);\nlabel(\"$105^\\circ$\",(6.5,0),E);\n[/asy]",
"role": "user"
}
] |
math
|
{
"ground_truth": "35",
"style": "rule"
}
|
{
"index": 7210,
"need_tools_kwargs": true,
"question": "In the diagram, $AB$ is parallel to $DC,$ and $ACE$ is a straight line. What is the value of $x?$ [asy]\ndraw((0,0)--(-.5,5)--(8,5)--(6.5,0)--cycle);\ndraw((-.5,5)--(8.5,-10/7));\nlabel(\"$A$\",(-.5,5),W);\nlabel(\"$B$\",(8,5),E);\nlabel(\"$C$\",(6.5,0),S);\nlabel(\"$D$\",(0,0),SW);\nlabel(\"$E$\",(8.5,-10/7),S);\ndraw((2,0)--(3,0),Arrow);\ndraw((3,0)--(4,0),Arrow);\ndraw((2,5)--(3,5),Arrow);\nlabel(\"$x^\\circ$\",(0.1,4));\ndraw((3,5)--(4,5),Arrow);\nlabel(\"$115^\\circ$\",(0,0),NE);\nlabel(\"$75^\\circ$\",(8,5),SW);\nlabel(\"$105^\\circ$\",(6.5,0),E);\n[/asy]",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What day, month, and year was Rudi Dekkers born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "July 27, 1956.",
"style": "rule"
}
|
{
"index": 7211,
"need_tools_kwargs": true,
"question": "What day, month, and year was Rudi Dekkers 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": "Do both directors of films Sword Of Trust and Gunfight At The O.K. Corral (Film) share the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 7212,
"need_tools_kwargs": true,
"question": "Do both directors of films Sword Of Trust and Gunfight At The O.K. Corral (Film) share the same nationality?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A triangular array of squares has one square in the first row, two in the second, and in general, $k$ squares in the $k$th row for $1 \\leq k \\leq 11.$ With the exception of the bottom row, each square rests on two squares in the row immediately below (illustrated in the given diagram). In each square of the eleventh row, a $0$ or a $1$ is placed. Numbers are then placed into the other squares, with the entry for each square being the sum of the entries in the two squares below it. For how many initial distributions of $0$'s and $1$'s in the bottom row is the number in the top square a multiple of $3$?\n[asy] for (int i=0; i<12; ++i){ for (int j=0; j<i; ++j){ //dot((-j+i/2,-i)); draw((-j+i/2,-i)--(-j+i/2+1,-i)--(-j+i/2+1,-i+1)--(-j+i/2,-i+1)--cycle); } } [/asy]\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "640",
"style": "rule"
}
|
{
"index": 7213,
"need_tools_kwargs": true,
"question": "A triangular array of squares has one square in the first row, two in the second, and in general, $k$ squares in the $k$th row for $1 \\leq k \\leq 11.$ With the exception of the bottom row, each square rests on two squares in the row immediately below (illustrated in the given diagram). In each square of the eleventh row, a $0$ or a $1$ is placed. Numbers are then placed into the other squares, with the entry for each square being the sum of the entries in the two squares below it. For how many initial distributions of $0$'s and $1$'s in the bottom row is the number in the top square a multiple of $3$?\n[asy] for (int i=0; i<12; ++i){ for (int j=0; j<i; ++j){ //dot((-j+i/2,-i)); draw((-j+i/2,-i)--(-j+i/2+1,-i)--(-j+i/2+1,-i+1)--(-j+i/2,-i+1)--cycle); } } [/asy]\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 number when divided by 5 gives a number which is 8 more than the remainder obtained on dividing the same number by 34. What is the least possible number x?",
"role": "user"
}
] |
math
|
{
"ground_truth": "160",
"style": "rule"
}
|
{
"index": 7214,
"need_tools_kwargs": true,
"question": "A number when divided by 5 gives a number which is 8 more than the remainder obtained on dividing the same number by 34. What is the least possible number x?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "给定正实数 a,b，整数 n\\geq2. 设函数 f(x)=(x+a)(x+b)，非负实数 x_1,x_2,\\cdots, x_n 满足 x_1+x_2+\\cdots+x_n=1. 求 \\ds{1\\leq i<j\\leq n}{}\\min\\{f(x_i),f(x_j)\\} 的最大值。答案的形式为\\frac{k(n-1)}{m}\\left(\\frac{1}{n}+a+b+nab\\right)，请给出k+m的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 7215,
"need_tools_kwargs": true,
"question": "给定正实数 a,b，整数 n\\geq2. 设函数 f(x)=(x+a)(x+b)，非负实数 x_1,x_2,\\cdots, x_n 满足 x_1+x_2+\\cdots+x_n=1. 求 \\ds{1\\leq i<j\\leq n}{}\\min\\{f(x_i),f(x_j)\\} 的最大值。答案的形式为\\frac{k(n-1)}{m}\\left(\\frac{1}{n}+a+b+nab\\right)，请给出k+m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": "Two circles centered at $O$ and $P$ have radii of length $5$ and $6$ respectively. Circle $O$ passes through point $P$. Let the intersection points of circles $O$ and $P$ be $M$ and $N$. The area of triangle $\\vartriangle MNP$ can be written in simplest form as $a/b$. Find $a + b$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "457",
"style": "rule"
}
|
{
"index": 7216,
"need_tools_kwargs": true,
"question": "Two circles centered at $O$ and $P$ have radii of length $5$ and $6$ respectively. Circle $O$ passes through point $P$. Let the intersection points of circles $O$ and $P$ be $M$ and $N$. The area of triangle $\\vartriangle MNP$ can be written in simplest form as $a/b$. Find $a + b$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who was the father of the emporer who established the Meissen Cathedral?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Henry I the Fowler",
"style": "rule"
}
|
{
"index": 7217,
"need_tools_kwargs": true,
"question": "Who was the father of the emporer who established the Meissen Cathedral?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Yellers are coached by Coach Loud. The Yellers have 15 players, but three of them, Max, Rex, and Tex, refuse to play together in any combination. How many starting lineups (of 5 players) can Coach Loud make, if the starting lineup can't contain any two of Max, Rex, and Tex together?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2277",
"style": "rule"
}
|
{
"index": 7218,
"need_tools_kwargs": true,
"question": "The Yellers are coached by Coach Loud. The Yellers have 15 players, but three of them, Max, Rex, and Tex, refuse to play together in any combination. How many starting lineups (of 5 players) can Coach Loud make, if the starting lineup can't contain any two of Max, Rex, and Tex together?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which film was released first, The Phantom Flyer or Shadow Play (Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "The Phantom Flyer",
"style": "rule"
}
|
{
"index": 7219,
"need_tools_kwargs": true,
"question": "Which film was released first, The Phantom Flyer or Shadow Play (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": "When did Henry I Of Jawor's father die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "9 November 1301",
"style": "rule"
}
|
{
"index": 7220,
"need_tools_kwargs": true,
"question": "When did Henry I Of Jawor's father die?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A pirate captain shipwrecked, and only his health insurance card (modern pirate!) is found. Unfortunately, two numbers are erased. Additionally, as you may know, the last two digits serve as a control (to check for errors). If you add the number formed by the first 13 digits to the number formed by the last two digits, you always get a multiple of 97. What is the age of the captain?",
"role": "user"
}
] |
math
|
{
"ground_truth": "65",
"style": "rule"
}
|
{
"index": 7221,
"need_tools_kwargs": true,
"question": "A pirate captain shipwrecked, and only his health insurance card (modern pirate!) is found. Unfortunately, two numbers are erased. Additionally, as you may know, the last two digits serve as a control (to check for errors). If you add the number formed by the first 13 digits to the number formed by the last two digits, you always get a multiple of 97. What is the age of the captain?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let \\( S = (1, x, x^2, \\ldots, x^{150}) \\) be a sequence of 151 real numbers, where \\( x > 0 \\). Define \\( A(S) \\) as \\( \\left(\\frac{a_1+a_2}{2}, \\frac{a_2+a_3}{2}, \\ldots ,\\frac{a_{150}+a_{151}}{2}\\right) \\) and, for each integer \\( m \\), \\( 2 \\leq m \\leq 150 \\), define \\( A^m(S)=A(A^{m-1}(S)) \\). If \\( A^{100}(S) = \\left(\\frac{1}{2^{75}}\\right) \\), determine the value of \\( x \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "2^{25/51}-1",
"style": "rule"
}
|
{
"index": 7222,
"need_tools_kwargs": true,
"question": "Let \\( S = (1, x, x^2, \\ldots, x^{150}) \\) be a sequence of 151 real numbers, where \\( x > 0 \\). Define \\( A(S) \\) as \\( \\left(\\frac{a_1+a_2}{2}, \\frac{a_2+a_3}{2}, \\ldots ,\\frac{a_{150}+a_{151}}{2}\\right) \\) and, for each integer \\( m \\), \\( 2 \\leq m \\leq 150 \\), define \\( A^m(S)=A(A^{m-1}(S)) \\). If \\( A^{100}(S) = \\left(\\frac{1}{2^{75}}\\right) \\), 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": "Where was the place of death of James Fitzgerald, 8Th Earl Of Desmond's father?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Drogheda",
"style": "rule"
}
|
{
"index": 7223,
"need_tools_kwargs": true,
"question": "Where was the place of death of James Fitzgerald, 8Th Earl Of Desmond's father?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $a_1, a_2, \\ldots$ and $b_1, b_2, \\ldots$ be arithmetic progressions such that $a_1 = 50, b_1 = 100$, and $a_{50} + b_{50} = 850$. Find the sum of the first fifty terms of the progression $a_1 + b_1, a_2 + b_2, \\ldots$",
"role": "user"
}
] |
math
|
{
"ground_truth": "25000",
"style": "rule"
}
|
{
"index": 7224,
"need_tools_kwargs": true,
"question": "Let $a_1, a_2, \\ldots$ and $b_1, b_2, \\ldots$ be arithmetic progressions such that $a_1 = 50, b_1 = 100$, and $a_{50} + b_{50} = 850$. Find the sum of the first fifty terms of the progression $a_1 + b_1, a_2 + b_2, \\ldots$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where was the place of death of Hsinbyumashin's father?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Amarapura",
"style": "rule"
}
|
{
"index": 7225,
"need_tools_kwargs": true,
"question": "Where was the place of death of Hsinbyumashin's father?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What heroic qualities are anti-hero, Seth Gecko, lacking?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "idealism, courage, or morality",
"style": "rule"
}
|
{
"index": 7226,
"need_tools_kwargs": true,
"question": "What heroic qualities are anti-hero, Seth Gecko, lacking?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $6 \\times 6$ toy board, each cell represents a light button. When someone presses a button, it lights up if it is off and turns off if it is on. Additionally, all buttons that share a side with the pressed button also change their state: from on to off or from off to on. Starting with all buttons off and pressing each button on the board exactly once, one at a time and in any order, how many buttons will be lit at the end?",
"role": "user"
}
] |
math
|
{
"ground_truth": "20",
"style": "rule"
}
|
{
"index": 7227,
"need_tools_kwargs": true,
"question": "In a $6 \\times 6$ toy board, each cell represents a light button. When someone presses a button, it lights up if it is off and turns off if it is on. Additionally, all buttons that share a side with the pressed button also change their state: from on to off or from off to on. Starting with all buttons off and pressing each button on the board exactly once, one at a time and in any order, how many buttons will be lit at the end?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 locations are there of this American department store chain, featured in the Richland Mall, which opened in 1969?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1095",
"style": "rule"
}
|
{
"index": 7228,
"need_tools_kwargs": true,
"question": "How many locations are there of this American department store chain, featured in the Richland Mall, which opened in 1969?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 intersection of two squares with a perimeter of $8$ is a rectangle with a diagonal length of $1$. Given that the distance between the centers of the two squares is $2$, the perimeter of the rectangle can be expressed as $P$. Find $10P$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "25",
"style": "rule"
}
|
{
"index": 7229,
"need_tools_kwargs": true,
"question": "The intersection of two squares with a perimeter of $8$ is a rectangle with a diagonal length of $1$. Given that the distance between the centers of the two squares is $2$, the perimeter of the rectangle can be expressed as $P$. Find $10P$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Suppose $x$, $y$, $z$, and $w$ are integers satisfying: $x-y+z=7$, $y-z+w=8$, $z-w+x=4$, and $w-x+y=3$. What is the value of $x+y+z+w$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "11",
"style": "rule"
}
|
{
"index": 7230,
"need_tools_kwargs": true,
"question": "Suppose $x$, $y$, $z$, and $w$ are integers satisfying: $x-y+z=7$, $y-z+w=8$, $z-w+x=4$, and $w-x+y=3$. What is the value of $x+y+z+w$?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 The Midnight Alarm?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Faversham, Kent",
"style": "rule"
}
|
{
"index": 7231,
"need_tools_kwargs": true,
"question": "What is the place of birth of the director of film The Midnight Alarm?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 number must be added to both terms of a fraction to obtain the reciprocal of that same fraction?",
"role": "user"
}
] |
math
|
{
"ground_truth": "-a - b",
"style": "rule"
}
|
{
"index": 7232,
"need_tools_kwargs": true,
"question": "What number must be added to both terms of a fraction to obtain the reciprocal of that same 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": "What is the award that the director of film Young Eagles (Film) won?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Academy Award for Best Story",
"style": "rule"
}
|
{
"index": 7233,
"need_tools_kwargs": true,
"question": "What is the award that the director of film Young Eagles (Film) won?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 performer of song Inside Out (Britney Spears Song)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "McComb",
"style": "rule"
}
|
{
"index": 7234,
"need_tools_kwargs": true,
"question": "What is the place of birth of the performer of song Inside Out (Britney Spears Song)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When was Henry Iii, Landgrave Of Upper Hesse's father born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "6 February 1402",
"style": "rule"
}
|
{
"index": 7235,
"need_tools_kwargs": true,
"question": "When was Henry Iii, Landgrave Of Upper Hesse's father born?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let \\(C_1\\) and \\(C_2\\) be circles defined by \n\\[\n(x-12)^2 + y^2 = 25\n\\]\nand \n\\[\n(x+18)^2 + y^2 = 100,\n\\]\nrespectively. What is the length of the shortest line segment \\(\\overline{PQ}\\) that is tangent to \\(C_1\\) at \\(P\\) and to \\(C_2\\) at \\(Q\\)?",
"role": "user"
}
] |
math
|
{
"ground_truth": "5\\sqrt{35}",
"style": "rule"
}
|
{
"index": 7236,
"need_tools_kwargs": true,
"question": "Let \\(C_1\\) and \\(C_2\\) be circles defined by \n\\[\n(x-12)^2 + y^2 = 25\n\\]\nand \n\\[\n(x+18)^2 + y^2 = 100,\n\\]\nrespectively. What is the length of the shortest line segment \\(\\overline{PQ}\\) that is tangent to \\(C_1\\) at \\(P\\) and to \\(C_2\\) at \\(Q\\)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "$\\frac{\\text{华杯赛}}{\\text{少} \\times \\text{俊} + \\text{金坛} + \\text{论} \\times \\text{数}} = 15$\n\nIn the above equation, different Chinese characters represent different digits between $1$ and $9$. When the three-digit number \"华杯赛\" reaches its maximum value, please write a solution where the equation holds.",
"role": "user"
}
] |
math
|
{
"ground_truth": "975",
"style": "rule"
}
|
{
"index": 7237,
"need_tools_kwargs": true,
"question": "$\\frac{\\text{华杯赛}}{\\text{少} \\times \\text{俊} + \\text{金坛} + \\text{论} \\times \\text{数}} = 15$\n\nIn the above equation, different Chinese characters represent different digits between $1$ and $9$. When the three-digit number \"华杯赛\" reaches its maximum value, please write a solution where the equation holds.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 how long does the son of Viviane Senna raced in Formula One?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "2010–12",
"style": "rule"
}
|
{
"index": 7238,
"need_tools_kwargs": true,
"question": "For how long does the son of Viviane Senna raced in Formula One?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Darb-E Astaneh Khalid Ebn Ali and Kahelabad located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 7239,
"need_tools_kwargs": true,
"question": "Are Darb-E Astaneh Khalid Ebn Ali and Kahelabad 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": "When did the director of film Brandos Costumes die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "10 December 2016",
"style": "rule"
}
|
{
"index": 7240,
"need_tools_kwargs": true,
"question": "When did the director of film Brandos Costumes die?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "If $a$ represents the hypotenuse and $c$ represents one of the legs, then the formula $c=\\frac{a}{\\sin \\gamma}$ is clearly incorrect. Why?",
"role": "user"
}
] |
math
|
{
"ground_truth": "c = a \\cdot \\sin(\\gamma)",
"style": "rule"
}
|
{
"index": 7241,
"need_tools_kwargs": true,
"question": "If $a$ represents the hypotenuse and $c$ represents one of the legs, then the formula $c=\\frac{a}{\\sin \\gamma}$ is clearly incorrect. Why?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Alex and Taylor each completed a mathematics quiz containing 30 questions. They solved 15 questions each on their own and worked together on the remaining 15 questions. Alex had correct answers to 85% of the problems he solved alone, and 83% of his answers were correct overall. Taylor had correct answers to 95% of the problems she solved alone. Calculate Taylor's overall percentage of correct answers.",
"role": "user"
}
] |
math
|
{
"ground_truth": "87",
"style": "rule"
}
|
{
"index": 7242,
"need_tools_kwargs": true,
"question": "Alex and Taylor each completed a mathematics quiz containing 30 questions. They solved 15 questions each on their own and worked together on the remaining 15 questions. Alex had correct answers to 85% of the problems he solved alone, and 83% of his answers were correct overall. Taylor had correct answers to 95% of the problems she solved alone. Calculate Taylor's overall percentage of correct answers.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 function $f(x) = a^x (a^x - 3a^2 - 1) (a > 0 \\text{ and } a \\neq 1)$ is increasing in the interval $[0, +\\infty)$, determine the range of values for the real number $a$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{\\sqrt{3}}{3} \\leq a < 1",
"style": "rule"
}
|
{
"index": 7243,
"need_tools_kwargs": true,
"question": "If the function $f(x) = a^x (a^x - 3a^2 - 1) (a > 0 \\text{ and } a \\neq 1)$ is increasing in the interval $[0, +\\infty)$, determine the range of values for the real number $a$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where was the place of death of the director of film Fair Lady (Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Hollywood",
"style": "rule"
}
|
{
"index": 7244,
"need_tools_kwargs": true,
"question": "Where was the place of death of the director of film Fair Lady (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": "When was the American hip hop recording artist which Hannah Lux Davis worked with born ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "September 27, 1982",
"style": "rule"
}
|
{
"index": 7245,
"need_tools_kwargs": true,
"question": "When was the American hip hop recording artist which Hannah Lux Davis worked with born ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "The 1959 Pro Bowl was played at a stadium that has a permanent seating capacity of how many spectators ?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "93,607",
"style": "rule"
}
|
{
"index": 7246,
"need_tools_kwargs": true,
"question": "The 1959 Pro Bowl was played at a stadium that has a permanent seating capacity of how many spectators ?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which film has the director who is older, Trisulam (Film) or Libertad Bajo Palabra?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Libertad Bajo Palabra",
"style": "rule"
}
|
{
"index": 7247,
"need_tools_kwargs": true,
"question": "Which film has the director who is older, Trisulam (Film) or Libertad Bajo Palabra?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 eastern terminus of the Tung Chung Line sits underneath an integrated commercial development located where?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "the waterfront of Hong Kong's Central District",
"style": "rule"
}
|
{
"index": 7248,
"need_tools_kwargs": true,
"question": "the eastern terminus of the Tung Chung Line sits underneath an integrated commercial development located 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": "For each positive integer \\( n \\), define \\( T(n) \\) as the number of sequences of length \\( n \\) consisting of the letters \\( A \\), \\( B \\), and \\( C \\), with no more than three \\( A \\)s, \\( B \\)s, and \\( C \\)s in a row. Calculate the remainder when \\( T(2015) \\) is divided by \\( 8 \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 7249,
"need_tools_kwargs": true,
"question": "For each positive integer \\( n \\), define \\( T(n) \\) as the number of sequences of length \\( n \\) consisting of the letters \\( A \\), \\( B \\), and \\( C \\), with no more than three \\( A \\)s, \\( B \\)s, and \\( C \\)s in a row. Calculate the remainder when \\( T(2015) \\) is divided by \\( 8 \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "when was the first test tube baby born",
"role": "user"
}
] |
qa
|
{
"ground_truth": "25 July 1978",
"style": "rule"
}
|
{
"index": 7250,
"need_tools_kwargs": true,
"question": "when was the first test tube baby 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": "Triangle \\(ABC\\) is equilateral with \\(AB=2\\). Points \\(D\\) and \\(E\\) are on \\(\\overline{AB}\\), points \\(F\\) and \\(G\\) are on \\(\\overline{BC}\\), and points \\(H\\) and \\(I\\) are on \\(\\overline{CA}\\) such that the segments \\(\\overline{DE}\\), \\(\\overline{FG}\\), and \\(\\overline{HI}\\) are parallel to \\(\\overline{BC}\\). This configuration forms two parallelograms and one triangle, all having the same perimeter. If \\(AD=x\\), \\(DF=y\\), and \\(AG=z\\), determine the value of \\(DE + FG + HI\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 7251,
"need_tools_kwargs": true,
"question": "Triangle \\(ABC\\) is equilateral with \\(AB=2\\). Points \\(D\\) and \\(E\\) are on \\(\\overline{AB}\\), points \\(F\\) and \\(G\\) are on \\(\\overline{BC}\\), and points \\(H\\) and \\(I\\) are on \\(\\overline{CA}\\) such that the segments \\(\\overline{DE}\\), \\(\\overline{FG}\\), and \\(\\overline{HI}\\) are parallel to \\(\\overline{BC}\\). This configuration forms two parallelograms and one triangle, all having the same perimeter. If \\(AD=x\\), \\(DF=y\\), and \\(AG=z\\), determine the value of \\(DE + FG + HI\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "从面积为 1 的正 7 边形的 7 个顶点中随机选出 4 个不同的顶点，它们构成的四边形的面积大于 \\df{1}{2} 的概率是__________.（王正供题）原始的答案是\\frac{m}{n}的形式，其中m、n是互质的。请给出最终m + n的值",
"role": "user"
}
] |
math
|
{
"ground_truth": "9",
"style": "rule"
}
|
{
"index": 7252,
"need_tools_kwargs": true,
"question": "从面积为 1 的正 7 边形的 7 个顶点中随机选出 4 个不同的顶点，它们构成的四边形的面积大于 \\df{1}{2} 的概率是__________.（王正供题）原始的答案是\\frac{m}{n}的形式，其中m、n是互质的。请给出最终m + 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": "Which star from Dracula in the Provences was also featured in a lead role in a television production of \"Design for Living\"?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "John Steiner",
"style": "rule"
}
|
{
"index": 7253,
"need_tools_kwargs": true,
"question": "Which star from Dracula in the Provences was also featured in a lead role in a television production of \"Design for Living\"?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "C.R. Alsip Guitars is founded in a city that is in what Kansas county?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Cowley",
"style": "rule"
}
|
{
"index": 7254,
"need_tools_kwargs": true,
"question": "C.R. Alsip Guitars is founded in a city that is in what Kansas county?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Find all functions continuous on the entire number line that satisfy the identity \\(4 f(x+y)=f(x) f(y)\\) and the condition \\(f(1)=12\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "4 \\cdot 3^x",
"style": "rule"
}
|
{
"index": 7255,
"need_tools_kwargs": true,
"question": "Find all functions continuous on the entire number line that satisfy the identity \\(4 f(x+y)=f(x) f(y)\\) and the condition \\(f(1)=12\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 team that participated in the 1922 SAFL Grand Final has the home base located in an inner-western suburb of Adelaide?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "West Adelaide Football Club",
"style": "rule"
}
|
{
"index": 7256,
"need_tools_kwargs": true,
"question": "Which team that participated in the 1922 SAFL Grand Final has the home base located in an inner-western suburb of Adelaide?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 I Do It (2 Chainz Song) born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "College Park, Georgia",
"style": "rule"
}
|
{
"index": 7257,
"need_tools_kwargs": true,
"question": "Where was the performer of song I Do It (2 Chainz Song) 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": "Besides acting in an Indian sports drama film in 2017, what other artistic skill does Sadhana Singh have?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "She is a fabulous singer",
"style": "rule"
}
|
{
"index": 7258,
"need_tools_kwargs": true,
"question": "Besides acting in an Indian sports drama film in 2017, what other artistic skill does Sadhana Singh have?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 sequence \\(1^5 - 1, 2^5 - 2, 3^5 - 3, \\ldots, n^5 - n, \\ldots\\). The largest integer among the following options that can divide every term in this sequence is:\n(A) 1\n(B) 60\n(C) 15\n(D) 120\n(E) 30\n\n(8th American High School Mathematics Examination, 1957)",
"role": "user"
}
] |
math
|
{
"ground_truth": "30",
"style": "rule"
}
|
{
"index": 7259,
"need_tools_kwargs": true,
"question": "The sequence \\(1^5 - 1, 2^5 - 2, 3^5 - 3, \\ldots, n^5 - n, \\ldots\\). The largest integer among the following options that can divide every term in this sequence is:\n(A) 1\n(B) 60\n(C) 15\n(D) 120\n(E) 30\n\n(8th American High School Mathematics Examination, 1957)",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who was the architect for the building located at 1 Garden Road, in Central and Western District on Hong Kong Island?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "I. M. Pei",
"style": "rule"
}
|
{
"index": 7260,
"need_tools_kwargs": true,
"question": "Who was the architect for the building located at 1 Garden Road, in Central and Western District on Hong Kong Island?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Two plays have reached the final of a competition for March 8th. In the first play, $n$ students from the 5th grade class A participated, and in the second play, $n$ students from the 5th grade class B participated. There were $2n$ mothers of all $2n$ students present at the play. The best play is chosen by the voting of the mothers. It is known that exactly half of the mothers honestly vote for the best play, while the other half always vote for the play in which their child participates.\n\na) Find the probability that the best play wins with a majority of votes.\n\nb) Answer the same question if more than two plays reached the finals.",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"index": 7261,
"need_tools_kwargs": true,
"question": "Two plays have reached the final of a competition for March 8th. In the first play, $n$ students from the 5th grade class A participated, and in the second play, $n$ students from the 5th grade class B participated. There were $2n$ mothers of all $2n$ students present at the play. The best play is chosen by the voting of the mothers. It is known that exactly half of the mothers honestly vote for the best play, while the other half always vote for the play in which their child participates.\n\na) Find the probability that the best play wins with a majority of votes.\n\nb) Answer the same question if more than two plays reached the finals.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 chessboard $8\\times 8$ , $n>6$ Knights are placed so that for any 6 Knights there are two Knights that attack each other. Find the greatest possible value of $n$ .",
"role": "user"
}
] |
math
|
{
"ground_truth": "10",
"style": "rule"
}
|
{
"index": 7262,
"need_tools_kwargs": true,
"question": "On a chessboard $8\\times 8$ , $n>6$ Knights are placed so that for any 6 Knights there are two Knights that attack each other. Find the greatest possible value of $n$ .",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In the rectangular coordinate system xOy, the parametric equation of curve C1 is given by $$\\begin{cases} x=5cos\\alpha \\\\ y=5+5sin\\alpha \\end{cases}$$ (where α is the parameter). Point M is a moving point on curve C1. When the line segment OM is rotated counterclockwise by 90° around point O, line segment ON is obtained, and the trajectory of point N is curve C2. Establish a polar coordinate system with the coordinate origin O as the pole and the positive half of the x-axis as the polar axis.\n\n1. Find the polar equations of curves C1 and C2.\n2. Under the conditions of (1), if the ray $$θ= \\frac {π}{3}(ρ≥0)$$ intersects curves C1 and C2 at points A and B respectively (excluding the pole), and there is a fixed point T(4, 0), find the area of ΔTAB.",
"role": "user"
}
] |
math
|
{
"ground_truth": "15-5 \\sqrt {3}",
"style": "rule"
}
|
{
"index": 7263,
"need_tools_kwargs": true,
"question": "In the rectangular coordinate system xOy, the parametric equation of curve C1 is given by $$\\begin{cases} x=5cos\\alpha \\\\ y=5+5sin\\alpha \\end{cases}$$ (where α is the parameter). Point M is a moving point on curve C1. When the line segment OM is rotated counterclockwise by 90° around point O, line segment ON is obtained, and the trajectory of point N is curve C2. Establish a polar coordinate system with the coordinate origin O as the pole and the positive half of the x-axis as the polar axis.\n\n1. Find the polar equations of curves C1 and C2.\n2. Under the conditions of (1), if the ray $$θ= \\frac {π}{3}(ρ≥0)$$ intersects curves C1 and C2 at points A and B respectively (excluding the pole), and there is a fixed point T(4, 0), find the area of ΔTAB.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Silver River (film) and Voice Over (film) have the directors from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 7264,
"need_tools_kwargs": true,
"question": "Do both films Silver River (film) and Voice Over (film) have the directors from the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Determine the number of integer tuples \\((x,y,z)\\) that satisfy the following conditions: \\(0 \\leq x, y, z < 2011\\), \\(xy + yz + zx \\equiv 0 \\pmod{2011}\\), and \\(x + y + z \\equiv 0 \\pmod{2011}\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "4021",
"style": "rule"
}
|
{
"index": 7265,
"need_tools_kwargs": true,
"question": "Determine the number of integer tuples \\((x,y,z)\\) that satisfy the following conditions: \\(0 \\leq x, y, z < 2011\\), \\(xy + yz + zx \\equiv 0 \\pmod{2011}\\), and \\(x + y + z \\equiv 0 \\pmod{2011}\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When was the singer who had the album Pensando En Ti born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "26 April 1951",
"style": "rule"
}
|
{
"index": 7266,
"need_tools_kwargs": true,
"question": "When was the singer who had the album Pensando En Ti 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": "Four of these points lie on a circle. Which of the points does not lie on that circle?\nA $(5,0)$\nB $(4,3)$\nC $(2,2)$\nD $(3,4)$\nE $(0,5)$",
"role": "user"
}
] |
math
|
{
"ground_truth": "(2, 2)",
"style": "rule"
}
|
{
"index": 7267,
"need_tools_kwargs": true,
"question": "Four of these points lie on a circle. Which of the points does not lie on that circle?\nA $(5,0)$\nB $(4,3)$\nC $(2,2)$\nD $(3,4)$\nE $(0,5)$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A pentagon is formed by cutting a triangular corner from a rectangular piece of paper. The five sides of the pentagon have lengths $13,$ $19,$ $20,$ $25$ and $31,$ in some order. Find the area of the pentagon.",
"role": "user"
}
] |
math
|
{
"ground_truth": "745",
"style": "rule"
}
|
{
"index": 7268,
"need_tools_kwargs": true,
"question": "A pentagon is formed by cutting a triangular corner from a rectangular piece of paper. The five sides of the pentagon have lengths $13,$ $19,$ $20,$ $25$ and $31,$ in some order. Find the area of the pentagon.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When is the director of film The Girl (1987 Film) 's birthday?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "2 December 1919",
"style": "rule"
}
|
{
"index": 7269,
"need_tools_kwargs": true,
"question": "When is the director of film The Girl (1987 Film) 's birthday?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Are both Aloinopsis and Eriogonum ice plants?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 7270,
"need_tools_kwargs": true,
"question": "Are both Aloinopsis and Eriogonum ice plants?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "若 \\(\\triangle ABC\\) 的内角 \\(A, B, C\\) 满足 \\(\\sin A = \\cos B = \\tan C\\)，求 \\(\\cos^3 A + \\cos^2 A - \\cos A\\) 的值。原始答案的格式为\\(\\dfrac{k}{m}\\)，请给出\\(k + m\\)的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 7271,
"need_tools_kwargs": true,
"question": "若 \\(\\triangle ABC\\) 的内角 \\(A, B, C\\) 满足 \\(\\sin A = \\cos B = \\tan C\\)，求 \\(\\cos^3 A + \\cos^2 A - \\cos A\\) 的值。原始答案的格式为\\(\\dfrac{k}{m}\\)，请给出\\(k + m\\)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": "Inside a circular pancake with a radius of 10, a coin with a radius of 1 has been baked. What is the minimum number of straight cuts needed to surely hit the coin?",
"role": "user"
}
] |
math
|
{
"ground_truth": "10",
"style": "rule"
}
|
{
"index": 7272,
"need_tools_kwargs": true,
"question": "Inside a circular pancake with a radius of 10, a coin with a radius of 1 has been baked. What is the minimum number of straight cuts needed to surely hit the coin?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 14% stock yielding 10% is quoted at a certain value. What is the quoted value of the stock?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\$140",
"style": "rule"
}
|
{
"index": 7273,
"need_tools_kwargs": true,
"question": "A 14% stock yielding 10% is quoted at a certain value. What is the quoted value of the stock?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "When was the director of film Oh, God! Book Ii born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "June 6, 1934",
"style": "rule"
}
|
{
"index": 7274,
"need_tools_kwargs": true,
"question": "When was the director of film Oh, God! Book Ii 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": "When did Siemens open in the city where Sergey Fursenko was born?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "1855",
"style": "rule"
}
|
{
"index": 7275,
"need_tools_kwargs": true,
"question": "When did Siemens open in the city where Sergey Fursenko was born?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A point whose coordinates are both integers is called a lattice point. How many lattice points lie on the hyperbola $x^2 - y^2 = 2000^2$?\n",
"role": "user"
}
] |
math
|
{
"ground_truth": "98",
"style": "rule"
}
|
{
"index": 7276,
"need_tools_kwargs": true,
"question": "A point whose coordinates are both integers is called a lattice point. How many lattice points lie on the hyperbola $x^2 - y^2 = 2000^2$?\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": "if a * b * c * d = 260 , b * c * d * e = 390 , c * d * e * f = 2000, and d * e * f * g = 500, then (a * g) / (c * e) = ?",
"role": "user"
}
] |
math
|
{
"ground_truth": "(4c),",
"style": "rule"
}
|
{
"index": 7277,
"need_tools_kwargs": true,
"question": "if a * b * c * d = 260 , b * c * d * e = 390 , c * d * e * f = 2000, and d * e * f * g = 500, then (a * g) / (c * e) = ?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 city of liars and knights, there are 366 inhabitants, each born on a different day of a leap year. All inhabitants of the city answered two questions. To the question \"Were you born in February?\" 100 people answered affirmatively, and to the question \"Were you born on the 30th day?\" 60 people answered affirmatively. How many knights were born in February?",
"role": "user"
}
] |
math
|
{
"ground_truth": "29",
"style": "rule"
}
|
{
"index": 7278,
"need_tools_kwargs": true,
"question": "In the city of liars and knights, there are 366 inhabitants, each born on a different day of a leap year. All inhabitants of the city answered two questions. To the question \"Were you born in February?\" 100 people answered affirmatively, and to the question \"Were you born on the 30th day?\" 60 people answered affirmatively. How many knights were born in February?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 \\( S = (x-1)^{4} + 4(x-1)^{3} + 6(x-1)^{2} + 4(x-1) + 1 \\), what is \\( S \\) equal to?\n(A) \\( (x-2)^{4} \\).\n(B) \\( (x-1)^{4} \\).\n(C) \\( x^{4} \\).\n(D) \\( (x+1)^{4} \\).\n(E) \\( x^{4} + 1 \\).\n\n(From the 12th Annual American High School Mathematics Examination, 1961)",
"role": "user"
}
] |
math
|
{
"ground_truth": "x^4",
"style": "rule"
}
|
{
"index": 7279,
"need_tools_kwargs": true,
"question": "Given \\( S = (x-1)^{4} + 4(x-1)^{3} + 6(x-1)^{2} + 4(x-1) + 1 \\), what is \\( S \\) equal to?\n(A) \\( (x-2)^{4} \\).\n(B) \\( (x-1)^{4} \\).\n(C) \\( x^{4} \\).\n(D) \\( (x+1)^{4} \\).\n(E) \\( x^{4} + 1 \\).\n\n(From the 12th Annual American High School Mathematics Examination, 1961)",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Mexican Gangster?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American",
"style": "rule"
}
|
{
"index": 7280,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Mexican Gangster?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Are the bands Atmosphere (music group) and Python Lee Jackson, from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 7281,
"need_tools_kwargs": true,
"question": "Are the bands Atmosphere (music group) and Python Lee Jackson, 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": "Were Wayne Alan Harold and Aldo Buzzi from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 7282,
"need_tools_kwargs": true,
"question": "Were Wayne Alan Harold and Aldo Buzzi 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": "设数列 \\{a_n\\} 满足 a_1=a_2=1,a_3=2，且对任意正整数 n，都有a_n\\cdot a_{n+1}\\cdot a_{n+2}\\cdot a_{n+3}=a_n+a_{n+1}+a_{n+2}+a_{n+3}.则 \\ds{i=1}{2023}a_i=__________.",
"role": "user"
}
] |
math
|
{
"ground_truth": "4044",
"style": "rule"
}
|
{
"index": 7283,
"need_tools_kwargs": true,
"question": "设数列 \\{a_n\\} 满足 a_1=a_2=1,a_3=2，且对任意正整数 n，都有a_n\\cdot a_{n+1}\\cdot a_{n+2}\\cdot a_{n+3}=a_n+a_{n+1}+a_{n+2}+a_{n+3}.则 \\ds{i=1}{2023}a_i=__________.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Millipede Mirka consists of a head and several segments, each with one pair of legs. When it got cold, she decided to dress up. Therefore, on the third segment from the end and then on every third segment thereafter, she put a sock on her left leg. Similarly, on the fifth segment from the end and then on every fifth segment thereafter, she put a sock on her right leg. She then found that 14 segments still had both legs bare.\n\nDetermine the total number of legs Mirka the millipede could have; specify all possibilities.\n\n(E. Novotná)\n\nHint: How many segments from the end have both legs dressed first?",
"role": "user"
}
] |
math
|
{
"ground_truth": "52 \\text { or 54}",
"style": "rule"
}
|
{
"index": 7284,
"need_tools_kwargs": true,
"question": "Millipede Mirka consists of a head and several segments, each with one pair of legs. When it got cold, she decided to dress up. Therefore, on the third segment from the end and then on every third segment thereafter, she put a sock on her left leg. Similarly, on the fifth segment from the end and then on every fifth segment thereafter, she put a sock on her right leg. She then found that 14 segments still had both legs bare.\n\nDetermine the total number of legs Mirka the millipede could have; specify all possibilities.\n\n(E. Novotná)\n\nHint: How many segments from the end have both legs dressed first?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In triangle $ABC$, $AB = 13$, $BC = 15$, and $CA = 14$. Point $D$ is on $\\overline{BC}$ with $CD = 6$. Point $E$ is on $\\overline{BC}$ such that $\\angle BAE = \\angle CAD$. Find $BE.$",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{2535}{463}",
"style": "rule"
}
|
{
"index": 7285,
"need_tools_kwargs": true,
"question": "In triangle $ABC$, $AB = 13$, $BC = 15$, and $CA = 14$. Point $D$ is on $\\overline{BC}$ with $CD = 6$. Point $E$ is on $\\overline{BC}$ such that $\\angle BAE = \\angle CAD$. Find $BE.$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "how is derek kellogg and travis ford connected?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American college basketball coach",
"style": "rule"
}
|
{
"index": 7286,
"need_tools_kwargs": true,
"question": "how is derek kellogg and travis ford connected?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 were the directors of the 2012 mystery romantic drama film starring the actor who played Samuel Adams in the 2015 miniseries \"Sons of Liberty\"?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Brian Klugman and Lee Sternthal",
"style": "rule"
}
|
{
"index": 7287,
"need_tools_kwargs": true,
"question": "Who were the directors of the 2012 mystery romantic drama film starring the actor who played Samuel Adams in the 2015 miniseries \"Sons of Liberty\"?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 positive integers $a_1, a_2, \\ldots, a_{2006}$ such that $\\frac{a_1}{a_2}, \\frac{a_2}{a_3}, \\ldots, \\frac{a_{2005}}{a_{2006}}$ are pairwise distinct, find the minimum possible amount of distinct positive integers in the set $\\{a_1, a_2, \\ldots, a_{2006}\\}$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "46",
"style": "rule"
}
|
{
"index": 7288,
"need_tools_kwargs": true,
"question": "For positive integers $a_1, a_2, \\ldots, a_{2006}$ such that $\\frac{a_1}{a_2}, \\frac{a_2}{a_3}, \\ldots, \\frac{a_{2005}}{a_{2006}}$ are pairwise distinct, find the minimum possible amount of distinct positive integers in the set $\\{a_1, a_2, \\ldots, a_{2006}\\}$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "In a convex quadrilateral \\(ABCD\\), the lengths of the sides are given as \\(AB = AC = AD = 1 \\text{ cm}\\), and the angle \\(\\angle BAD\\) measures \\(100\\) degrees. Determine the measure of the angle \\(\\angle BCD\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "130",
"style": "rule"
}
|
{
"index": 7289,
"need_tools_kwargs": true,
"question": "In a convex quadrilateral \\(ABCD\\), the lengths of the sides are given as \\(AB = AC = AD = 1 \\text{ cm}\\), and the angle \\(\\angle BAD\\) measures \\(100\\) degrees. Determine the measure of the angle \\(\\angle BCD\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "设素数 \\(p \\geqslant 5\\)，集合 \\(M=\\{1,2, \\cdots, p-1\\}\\)，记 \\(T=\\left\\{\\left(n, x_{n}\\right)|p|\\left(n x_{n}-1\\right), n 、 x_{n} \\in M\\right\\}\\)。求 \\(\\sum_{\\left(n, x_{n}\\right) \\in T} n\\left[\\frac{n x_{n}}{p}\\right]\\) 模 \\(p\\) 的最小非负剩余。答案的形式为 \\(\\frac{k(p-1)}{m}\\)，请给出 \\(k+m\\) 的值。",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 7290,
"need_tools_kwargs": true,
"question": "设素数 \\(p \\geqslant 5\\)，集合 \\(M=\\{1,2, \\cdots, p-1\\}\\)，记 \\(T=\\left\\{\\left(n, x_{n}\\right)|p|\\left(n x_{n}-1\\right), n 、 x_{n} \\in M\\right\\}\\)。求 \\(\\sum_{\\left(n, x_{n}\\right) \\in T} n\\left[\\frac{n x_{n}}{p}\\right]\\) 模 \\(p\\) 的最小非负剩余。答案的形式为 \\(\\frac{k(p-1)}{m}\\)，请给出 \\(k+m\\) 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": "Are Jerzy Orłowski and Ole Fredrik Syversen from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 7291,
"need_tools_kwargs": true,
"question": "Are Jerzy Orłowski and Ole Fredrik Syversen 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": "If \\( g(x) = 5x^3 - 7x^2 + 3x - 2 \\), find the value of \\( g(3) \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "79",
"style": "rule"
}
|
{
"index": 7292,
"need_tools_kwargs": true,
"question": "If \\( g(x) = 5x^3 - 7x^2 + 3x - 2 \\), find the value of \\( g(3) \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Find all values of the parameter \\(a\\) for which the equation \\(x^{2} + 2x + 2|x + 1| = a\\) has exactly two roots.",
"role": "user"
}
] |
math
|
{
"ground_truth": "a > -1",
"style": "rule"
}
|
{
"index": 7293,
"need_tools_kwargs": true,
"question": "Find all values of the parameter \\(a\\) for which the equation \\(x^{2} + 2x + 2|x + 1| = a\\) has exactly two roots.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given the function $f(x) = ax^3 - 3x^2 + 1$, if $f(x)$ has a unique zero point $x_0$, and $x_0 < 0$, then the range of values for $a$ is ______.",
"role": "user"
}
] |
math
|
{
"ground_truth": "a > 2",
"style": "rule"
}
|
{
"index": 7294,
"need_tools_kwargs": true,
"question": "Given the function $f(x) = ax^3 - 3x^2 + 1$, if $f(x)$ has a unique zero point $x_0$, and $x_0 < 0$, then the range of values for $a$ 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": "Who, Leos Carax or Emeric Pressburger, is noted for his poetic style and his tortured depictions of love?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Alex Christophe Dupont",
"style": "rule"
}
|
{
"index": 7295,
"need_tools_kwargs": true,
"question": "Who, Leos Carax or Emeric Pressburger, is noted for his poetic style and his tortured depictions of love?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "已知集合\n$$\nM=\\{x, xy, \\mathrm{l}g(xy)\\}\n$$\n\n及\n$$\nN=\\{0, |x|, y\\},\n$$\n并且 $M=N$ ，那么$(x+\\frac{1}{y})+(x^{2}+\\frac{1}{y^{2}})+(x^{3}+\\frac{1}{y^{3}})+\\ldots+(x^{2001}+\\frac{1}{y^{2001}})$的值等于\n$\\qquad$ $\\cdot$",
"role": "user"
}
] |
math
|
{
"ground_truth": "-2",
"style": "rule"
}
|
{
"index": 7296,
"need_tools_kwargs": true,
"question": "已知集合\n$$\nM=\\{x, xy, \\mathrm{l}g(xy)\\}\n$$\n\n及\n$$\nN=\\{0, |x|, y\\},\n$$\n并且 $M=N$ ，那么$(x+\\frac{1}{y})+(x^{2}+\\frac{1}{y^{2}})+(x^{3}+\\frac{1}{y^{3}})+\\ldots+(x^{2001}+\\frac{1}{y^{2001}})$的值等于\n$\\qquad$ $\\cdot$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 sequence $\\{a_n\\}$ satisfying $a_1=81$ and $a_n= \\begin{cases} -1+\\log_{3}a_{n-1}, & n=2k \\\\ 3^{a_{n-1}}, & n=2k+1 \\end{cases}$ (where $k\\in\\mathbb{N}^*$), find the maximum value of the sum of the first $n$ terms of the sequence, $S_n$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "127",
"style": "rule"
}
|
{
"index": 7297,
"need_tools_kwargs": true,
"question": "Given a sequence $\\{a_n\\}$ satisfying $a_1=81$ and $a_n= \\begin{cases} -1+\\log_{3}a_{n-1}, & n=2k \\\\ 3^{a_{n-1}}, & n=2k+1 \\end{cases}$ (where $k\\in\\mathbb{N}^*$), find the maximum value of the sum of the first $n$ terms of the sequence, $S_n$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Consider a rectangular prism $ABCDEFGH$ with dimensions length $2$, width $1$, and height $3$, labeled as below, and cut by a plane passing through vertex $D$, $(E+G)/2$ which is the midpoint of $\\overline{EG}$, and $(A+F)/2$ which is the midpoint of $\\overline{AF}$. The plane divides the prism into two solids. Find the volume of the larger of the two solids.",
"role": "user"
}
] |
math
|
{
"ground_truth": "4.5",
"style": "rule"
}
|
{
"index": 7298,
"need_tools_kwargs": true,
"question": "Consider a rectangular prism $ABCDEFGH$ with dimensions length $2$, width $1$, and height $3$, labeled as below, and cut by a plane passing through vertex $D$, $(E+G)/2$ which is the midpoint of $\\overline{EG}$, and $(A+F)/2$ which is the midpoint of $\\overline{AF}$. The plane divides the prism into two solids. Find the volume of the larger of the two solids.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "there are 12 slate rocks , 16 pumice rocks , and 8 granite rocks randomly distributed in a certain field . if 2 rocks are chosen at random and without replacement , what is the probability that both rocks will be slate rocks ?",
"role": "user"
}
] |
math
|
{
"ground_truth": "11/105",
"style": "rule"
}
|
{
"index": 7299,
"need_tools_kwargs": true,
"question": "there are 12 slate rocks , 16 pumice rocks , and 8 granite rocks randomly distributed in a certain field . if 2 rocks are chosen at random and without replacement , what is the probability that both rocks will be slate rocks ?",
"split": "train"
}
| null |
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