data_source
stringclasses 1
value | prompt
listlengths 2
2
| ability
stringclasses 2
values | reward_model
dict | extra_info
dict | metadata
null |
|---|---|---|---|---|---|
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let $\\triangle A_0B_0C_0$ be a triangle whose angle measures are exactly $59.999^\\circ$, $60^\\circ$, and $60.001^\\circ$. For each positive integer $n$, define $A_n$ to be the foot of the altitude from $A_{n-1}$ to line $B_{n-1}C_{n-1}$. Likewise, define $B_n$ to be the foot of the altitude from $B_{n-1}$ to line $A_{n-1}C_{n-1}$, and $C_n$ to be the foot of the altitude from $C_{n-1}$ to line $A_{n-1}B_{n-1}$. Find the least positive integer $n$ for which $\\triangle A_nB_nC_n$ is obtuse.",
"role": "user"
}
] |
math
|
{
"ground_truth": "15",
"style": "rule"
}
|
{
"index": 1300,
"need_tools_kwargs": true,
"question": "Let $\\triangle A_0B_0C_0$ be a triangle whose angle measures are exactly $59.999^\\circ$, $60^\\circ$, and $60.001^\\circ$. For each positive integer $n$, define $A_n$ to be the foot of the altitude from $A_{n-1}$ to line $B_{n-1}C_{n-1}$. Likewise, define $B_n$ to be the foot of the altitude from $B_{n-1}$ to line $A_{n-1}C_{n-1}$, and $C_n$ to be the foot of the altitude from $C_{n-1}$ to line $A_{n-1}B_{n-1}$. Find the least positive integer $n$ for which $\\triangle A_nB_nC_n$ is obtuse.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 coefficient of $xy^{6}$ in the expansion of $(ax+y)^{7}$ is $1$, then $a=$ \\_\\_\\_\\_\\_\\_.",
"role": "user"
}
] |
math
|
{
"ground_truth": "a= \\dfrac {1}{7}",
"style": "rule"
}
|
{
"index": 1301,
"need_tools_kwargs": true,
"question": "If the coefficient of $xy^{6}$ in the expansion of $(ax+y)^{7}$ is $1$, then $a=$ \\_\\_\\_\\_\\_\\_.",
"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": "Points $A$, $B$, $C$, $D$, and $E$ are located in 3-dimensional space with $AB= BC= CD= DE= EA= 2$ and $\\angle ABC = \\angle CDE = \\angle\nDEA = 90^\\circ$. The plane of triangle $ABC$ is parallel to $\\overline{DE}$. What is the area of triangle $BDE$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 1302,
"need_tools_kwargs": true,
"question": "Points $A$, $B$, $C$, $D$, and $E$ are located in 3-dimensional space with $AB= BC= CD= DE= EA= 2$ and $\\angle ABC = \\angle CDE = \\angle\nDEA = 90^\\circ$. The plane of triangle $ABC$ is parallel to $\\overline{DE}$. What is the area of triangle $BDE$?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 United States Postal Service charges an extra $\\$0.11$ in postage if the ratio of the length of an envelope, in inches, to its height, in inches, is either less than $1.2$ or greater than $2.6.$ Determine for how many of the following envelopes the extra charge applies:\n\\begin{tabular}[t]{ccc}\nEnvelope & Length in inches & Height in inches\\\\\\hline\nA &5 &4\\\\\nB &10 &4\\\\\nC &8 &8\\\\\nD &12 &5\n\\end{tabular}",
"role": "user"
}
] |
math
|
{
"ground_truth": "1",
"style": "rule"
}
|
{
"index": 1303,
"need_tools_kwargs": true,
"question": "The United States Postal Service charges an extra $\\$0.11$ in postage if the ratio of the length of an envelope, in inches, to its height, in inches, is either less than $1.2$ or greater than $2.6.$ Determine for how many of the following envelopes the extra charge applies:\n\\begin{tabular}[t]{ccc}\nEnvelope & Length in inches & Height in inches\\\\\\hline\nA &5 &4\\\\\nB &10 &4\\\\\nC &8 &8\\\\\nD &12 &5\n\\end{tabular}",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 a commander that was a prominent politician in Nazi Germany?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Rudolf Hess",
"style": "rule"
}
|
{
"index": 1304,
"need_tools_kwargs": true,
"question": "Who was a commander that was a prominent politician in Nazi Germany?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 House Of Fears and The Misadventure Of A French Gentleman Without Pants At The Zandvoort Beach have the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 1305,
"need_tools_kwargs": true,
"question": "Do both directors of films House Of Fears and The Misadventure Of A French Gentleman Without Pants At The Zandvoort Beach 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": "Who is the mother of the founder of university Leipzig University?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Catherine of Henneberg",
"style": "rule"
}
|
{
"index": 1306,
"need_tools_kwargs": true,
"question": "Who is the mother of the founder of university Leipzig University?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Why did the director of film Paper Bullets die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "heart attack",
"style": "rule"
}
|
{
"index": 1307,
"need_tools_kwargs": true,
"question": "Why did the director of film Paper Bullets 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": "Dead Awake belongs to which two movie genres?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "horror and psychological fiction",
"style": "rule"
}
|
{
"index": 1308,
"need_tools_kwargs": true,
"question": "Dead Awake belongs to which two movie genres?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Victoria Chaplin's father?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "London",
"style": "rule"
}
|
{
"index": 1309,
"need_tools_kwargs": true,
"question": "What is the place of birth of Victoria Chaplin'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": "The Eek! segment Klutter was created by David Silverman and a man that manages what studio?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Savage Studios Ltd.",
"style": "rule"
}
|
{
"index": 1310,
"need_tools_kwargs": true,
"question": "The Eek! segment Klutter was created by David Silverman and a man that manages what studio?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Eddy and Freddy start simultaneously from City A, and they travel to City B and City C, respectively. Eddy takes a total of 5 hours to complete his journey, while Freddy takes a total of 6 hours. The journey between City A and City B has three segments: AB1, AB2, and AB3. The distances of these segments are 200 km, 240 km, and 300 km, respectively. The journey between City A and City C has two segments: AC1 and AC2, with distances of 180 km and 420 km, respectively.\n\nEddy travels with an average speed of 60 km/h for the first segment (AB1), then 80 km/h for the second segment (AB2), and finally 100 km/h for the third segment (AB3). Freddy travels with an average speed of 60 km/h for the first segment (AC1) and 70 km/h for the second segment (AC2).\n\nWhat is the ratio of their average speeds (Eddy : Freddy) throughout their entire journey from City A to City B and City A to City C, respectively?",
"role": "user"
}
] |
math
|
{
"ground_truth": "37:25",
"style": "rule"
}
|
{
"index": 1311,
"need_tools_kwargs": true,
"question": "Eddy and Freddy start simultaneously from City A, and they travel to City B and City C, respectively. Eddy takes a total of 5 hours to complete his journey, while Freddy takes a total of 6 hours. The journey between City A and City B has three segments: AB1, AB2, and AB3. The distances of these segments are 200 km, 240 km, and 300 km, respectively. The journey between City A and City C has two segments: AC1 and AC2, with distances of 180 km and 420 km, respectively.\n\nEddy travels with an average speed of 60 km/h for the first segment (AB1), then 80 km/h for the second segment (AB2), and finally 100 km/h for the third segment (AB3). Freddy travels with an average speed of 60 km/h for the first segment (AC1) and 70 km/h for the second segment (AC2).\n\nWhat is the ratio of their average speeds (Eddy : Freddy) throughout their entire journey from City A to City B and City A to City C, respectively?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 2010 FA Community Shield had a goal by the right wing player who is of which nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Ecuadorian",
"style": "rule"
}
|
{
"index": 1312,
"need_tools_kwargs": true,
"question": "The 2010 FA Community Shield had a goal by the right wing player who is of which nationality?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What nationality is the director of film Afghantsi?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "British",
"style": "rule"
}
|
{
"index": 1313,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Afghantsi?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 carried the Olympic torch the year Dieter Bakeloh finished fourth in the individual large hill event in Innsbruck?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Joseph Rieder",
"style": "rule"
}
|
{
"index": 1314,
"need_tools_kwargs": true,
"question": "Who carried the Olympic torch the year Dieter Bakeloh finished fourth in the individual large hill event in Innsbruck?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Tarzan The Tiger?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Canadian",
"style": "rule"
}
|
{
"index": 1315,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Tarzan The Tiger?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 whether it is possible to find integers \\( a, b, c, d \\) (which can be negative) such that the equation \\( 4^a + 5^b = 2^c + 2^d + 1 \\) holds true. Provide a justification for your answer.",
"role": "user"
}
] |
math
|
{
"ground_truth": "0",
"style": "rule"
}
|
{
"index": 1316,
"need_tools_kwargs": true,
"question": "Determine whether it is possible to find integers \\( a, b, c, d \\) (which can be negative) such that the equation \\( 4^a + 5^b = 2^c + 2^d + 1 \\) holds true. Provide a justification for your answer.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let's call a number \\( \\mathrm{X} \\) \"50-supportive\" if for any 50 real numbers \\( a_{1}, \\ldots, a_{50} \\) whose sum is an integer, there is at least one number for which \\( \\left|a_{i} - \\frac{1}{2}\\right| \\geq X \\).\n\nIndicate the greatest 50-supportive \\( X \\), rounded to the nearest hundredth based on standard mathematical rules.",
"role": "user"
}
] |
math
|
{
"ground_truth": "0.01",
"style": "rule"
}
|
{
"index": 1317,
"need_tools_kwargs": true,
"question": "Let's call a number \\( \\mathrm{X} \\) \"50-supportive\" if for any 50 real numbers \\( a_{1}, \\ldots, a_{50} \\) whose sum is an integer, there is at least one number for which \\( \\left|a_{i} - \\frac{1}{2}\\right| \\geq X \\).\n\nIndicate the greatest 50-supportive \\( X \\), rounded to the nearest hundredth based on standard mathematical rules.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $\\triangle ABC$ be a triangle with $AB=85$ , $BC=125$ , $CA=140$ , and incircle $\\omega$ . Let $D$ , $E$ , $F$ be the points of tangency of $\\omega$ with $\\overline{BC}$ , $\\overline{CA}$ , $\\overline{AB}$ respectively, and furthermore denote by $X$ , $Y$ , and $Z$ the incenters of $\\triangle AEF$ , $\\triangle BFD$ , and $\\triangle CDE$ , also respectively. Find the circumradius of $\\triangle XYZ$ .\n\n*Proposed by David Altizio*",
"role": "user"
}
] |
math
|
{
"ground_truth": "30",
"style": "rule"
}
|
{
"index": 1318,
"need_tools_kwargs": true,
"question": "Let $\\triangle ABC$ be a triangle with $AB=85$ , $BC=125$ , $CA=140$ , and incircle $\\omega$ . Let $D$ , $E$ , $F$ be the points of tangency of $\\omega$ with $\\overline{BC}$ , $\\overline{CA}$ , $\\overline{AB}$ respectively, and furthermore denote by $X$ , $Y$ , and $Z$ the incenters of $\\triangle AEF$ , $\\triangle BFD$ , and $\\triangle CDE$ , also respectively. Find the circumradius of $\\triangle XYZ$ .\n\n*Proposed by David Altizio*",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 family of curves \\(2(2 \\sin \\theta - \\cos \\theta + 3) x^{2} - (8 \\sin \\theta + \\cos \\theta + 1) y = 0\\), where \\(\\theta\\) is a parameter, find the maximum length of the chord intercepted by these curves on the line \\(y = 2x\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "17.8883527171038",
"style": "rule"
}
|
{
"index": 1319,
"need_tools_kwargs": true,
"question": "Given the family of curves \\(2(2 \\sin \\theta - \\cos \\theta + 3) x^{2} - (8 \\sin \\theta + \\cos \\theta + 1) y = 0\\), where \\(\\theta\\) is a parameter, find the maximum length of the chord intercepted by these curves on the line \\(y = 2x\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Are both director of film Kab? Kyoon? Aur Kahan? and director of film Kadhal Kottai from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 1320,
"need_tools_kwargs": true,
"question": "Are both director of film Kab? Kyoon? Aur Kahan? and director of film Kadhal Kottai 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": "Who was had a reputation for tyrannical behavior and had a house put up on the market in 2008?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Leona Helmsley",
"style": "rule"
}
|
{
"index": 1321,
"need_tools_kwargs": true,
"question": "Who was had a reputation for tyrannical behavior and had a house put up on the market in 2008?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Calculate the total length of the line segments that form the acronym \"XYZ\" in the given rectangular grid, where the grid lines are spaced 1 unit apart. Be sure to identify and classify the segments as straight or slanted, and provide the necessary calculations to arrive at your answer.",
"role": "user"
}
] |
math
|
{
"ground_truth": "6+6\\sqrt{2}",
"style": "rule"
}
|
{
"index": 1322,
"need_tools_kwargs": true,
"question": "Calculate the total length of the line segments that form the acronym \"XYZ\" in the given rectangular grid, where the grid lines are spaced 1 unit apart. Be sure to identify and classify the segments as straight or slanted, and provide the necessary calculations to arrive at your answer.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which American country music singer and songwriter recorded Someday Soon with Judy Collins and Moe Bandy?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Suzy Bogguss",
"style": "rule"
}
|
{
"index": 1323,
"need_tools_kwargs": true,
"question": "Which American country music singer and songwriter recorded Someday Soon with Judy Collins and Moe Bandy?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Louise Marie Adélaïde De Bourbon, Duchess Of Orléans's father die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "4 March 1793",
"style": "rule"
}
|
{
"index": 1324,
"need_tools_kwargs": true,
"question": "When did Louise Marie Adélaïde De Bourbon, Duchess Of Orléans'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": "Do both directors of films The Fighting Fist Of Shanghai Joe and With Life And Soul share the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 1325,
"need_tools_kwargs": true,
"question": "Do both directors of films The Fighting Fist Of Shanghai Joe and With Life And Soul 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": "In the sequence $\\left\\{a_{n}\\right\\}$, if the adjacent terms $a_{n}$ and $a_{n+1}$ are the two roots of the quadratic equation\n$$\nx_{n}^{2} + 3n x_{n} + c_{n} = 0 \\quad (n = 1, 2, \\cdots)\n$$\nthen when $a_{1} = 2$, what is the value of $c_{100}$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "22496",
"style": "rule"
}
|
{
"index": 1326,
"need_tools_kwargs": true,
"question": "In the sequence $\\left\\{a_{n}\\right\\}$, if the adjacent terms $a_{n}$ and $a_{n+1}$ are the two roots of the quadratic equation\n$$\nx_{n}^{2} + 3n x_{n} + c_{n} = 0 \\quad (n = 1, 2, \\cdots)\n$$\nthen when $a_{1} = 2$, what is the value of $c_{100}$?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 college team went 7-5 under the coach who is now the head coach of the Detroit Lions of the National Football League (NFL)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Wake Forest Demon Deacons",
"style": "rule"
}
|
{
"index": 1327,
"need_tools_kwargs": true,
"question": "Which college team went 7-5 under the coach who is now the head coach of the Detroit Lions of the National Football League (NFL)?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Arrange the numbers \\(1, 2, 3, 4, 5, 6, 7, 8, 9\\) in a \\(3 \\times 3\\) grid such that each number occupies one square, consecutive numbers share an edge, and the sum of the numbers in the four corners equals \\(24\\). What is the number located in the center square of the grid?",
"role": "user"
}
] |
math
|
{
"ground_truth": "8",
"style": "rule"
}
|
{
"index": 1328,
"need_tools_kwargs": true,
"question": "Arrange the numbers \\(1, 2, 3, 4, 5, 6, 7, 8, 9\\) in a \\(3 \\times 3\\) grid such that each number occupies one square, consecutive numbers share an edge, and the sum of the numbers in the four corners equals \\(24\\). What is the number located in the center square of the grid?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Habbaniya is a part of the Baggara people whose name comes from what Arabic word?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "badawī",
"style": "rule"
}
|
{
"index": 1329,
"need_tools_kwargs": true,
"question": "The Habbaniya is a part of the Baggara people whose name comes from what Arabic word?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": " George Martin Long is a goalkeeper who plays for a professional association football club based at grounds once shared with what other club?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Kingstonian F.C.",
"style": "rule"
}
|
{
"index": 1330,
"need_tools_kwargs": true,
"question": " George Martin Long is a goalkeeper who plays for a professional association football club based at grounds once shared with what other club?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Pale Lager and Hofmeister are both what type of beer? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Helles",
"style": "rule"
}
|
{
"index": 1331,
"need_tools_kwargs": true,
"question": "Pale Lager and Hofmeister are both what type of beer? ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 solid rectangular block is created using $N$ congruent 1-cm cubes adhered face-to-face. When observing the block to maximize visibility of its surfaces, exactly $252$ of the 1-cm cubes remain hidden from view. Determine the smallest possible value of $N.$",
"role": "user"
}
] |
math
|
{
"ground_truth": "392",
"style": "rule"
}
|
{
"index": 1332,
"need_tools_kwargs": true,
"question": "A solid rectangular block is created using $N$ congruent 1-cm cubes adhered face-to-face. When observing the block to maximize visibility of its surfaces, exactly $252$ of the 1-cm cubes remain hidden from view. Determine the smallest 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 equation \\( x5 \\cdot \\overline{3yz} = 7850 \\), find \\( x, y, z \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "4",
"style": "rule"
}
|
{
"index": 1333,
"need_tools_kwargs": true,
"question": "In the equation \\( x5 \\cdot \\overline{3yz} = 7850 \\), find \\( x, y, z \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Felix Platte is a member of what German club?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "SV Darmstadt 98",
"style": "rule"
}
|
{
"index": 1334,
"need_tools_kwargs": true,
"question": "Felix Platte is a member of what German club?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 performer of song Lay My Lily Down?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American",
"style": "rule"
}
|
{
"index": 1335,
"need_tools_kwargs": true,
"question": "What nationality is the performer of song Lay My Lily Down?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 standard domino game consists of 28 tiles. Each tile is made up of two integers ranging from 0 to 6, inclusive. All possible combinations $(a, b)$, where $a \\leq b$, are listed exactly once. Note that tile $(4,2)$ is listed as tile $(2,4)$, because $2 \\leq 4$. Excluding the piece $(0,0)$, for each of the other 27 tiles $(a, b)$, where $a \\leq b$, we write the fraction $\\frac{a}{b}$ on a board.\n\na) How many distinct values are written in the form of fractions on the board? (Note that the fractions $\\frac{1}{2}$ and $\\frac{2}{4}$ have the same value and should be counted only once.)\n\nb) What is the sum of the distinct values found in the previous item?",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{13}{2}",
"style": "rule"
}
|
{
"index": 1336,
"need_tools_kwargs": true,
"question": "A standard domino game consists of 28 tiles. Each tile is made up of two integers ranging from 0 to 6, inclusive. All possible combinations $(a, b)$, where $a \\leq b$, are listed exactly once. Note that tile $(4,2)$ is listed as tile $(2,4)$, because $2 \\leq 4$. Excluding the piece $(0,0)$, for each of the other 27 tiles $(a, b)$, where $a \\leq b$, we write the fraction $\\frac{a}{b}$ on a board.\n\na) How many distinct values are written in the form of fractions on the board? (Note that the fractions $\\frac{1}{2}$ and $\\frac{2}{4}$ have the same value and should be counted only once.)\n\nb) What is the sum of the distinct values found in the previous item?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 both David Grann and Leonid Gerchikov, born in the same place?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 1337,
"need_tools_kwargs": true,
"question": "Were both David Grann and Leonid Gerchikov, born in the same place?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 origin was this person from who worked for nine years with an Indian chess Grandmaster and a former World Chess Champion born 11 December 1969?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Georgian",
"style": "rule"
}
|
{
"index": 1338,
"need_tools_kwargs": true,
"question": "What origin was this person from who worked for nine years with an Indian chess Grandmaster and a former World Chess Champion born 11 December 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": "Given that the direction vector of line $l_1$ is $\\vec{a} = (1, 2, -2)$, and the direction vector of line $l_2$ is $\\vec{b} = (-2, 3, m)$, if $l_1 \\perp l_2$, find the value of the real number $m$. The options are:\nA: 3\nB: 2\nC: 1\nD: $\\frac{1}{2}$",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 1339,
"need_tools_kwargs": true,
"question": "Given that the direction vector of line $l_1$ is $\\vec{a} = (1, 2, -2)$, and the direction vector of line $l_2$ is $\\vec{b} = (-2, 3, m)$, if $l_1 \\perp l_2$, find the value of the real number $m$. The options are:\nA: 3\nB: 2\nC: 1\nD: $\\frac{1}{2}$",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Given the expansion of the expression $${(x- \\frac {1}{ \\sqrt {x}})^{n}}$$, the sum of all binomial coefficients is $512$. Determine the coefficient of the $x^{3}$ term in the expansion. (Answer with a number only.)",
"role": "user"
}
] |
math
|
{
"ground_truth": "126",
"style": "rule"
}
|
{
"index": 1340,
"need_tools_kwargs": true,
"question": "Given the expansion of the expression $${(x- \\frac {1}{ \\sqrt {x}})^{n}}$$, the sum of all binomial coefficients is $512$. Determine the coefficient of the $x^{3}$ term in the expansion. (Answer with a number only.)",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $f(x)= \\frac {1}{3}x^{3}+x$, $x\\in\\mathbb{R}$, if there exists at least one real number $x$ such that $f(a-x)+f(ax^{2}-1) < 0$ holds, the range of $a$ is \\_\\_\\_\\_\\_\\_.",
"role": "user"
}
] |
math
|
{
"ground_truth": "(-\\infty, \\frac {1+ \\sqrt {2}}{2})",
"style": "rule"
}
|
{
"index": 1341,
"need_tools_kwargs": true,
"question": "Given $f(x)= \\frac {1}{3}x^{3}+x$, $x\\in\\mathbb{R}$, if there exists at least one real number $x$ such that $f(a-x)+f(ax^{2}-1) < 0$ holds, the range of $a$ is \\_\\_\\_\\_\\_\\_.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Did Frederik Kortlandt and Rafael De Medina, 20Th Duke Of Feria share the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 1342,
"need_tools_kwargs": true,
"question": "Did Frederik Kortlandt and Rafael De Medina, 20Th Duke Of Feria 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": "With which notable French plant physiologist did Henri Moissan publish his first scientific paper in 1874?",
"role": "user"
}
] |
qa
|
{
"ground_truth": " Pierre Paul Dehérain",
"style": "rule"
}
|
{
"index": 1343,
"need_tools_kwargs": true,
"question": "With which notable French plant physiologist did Henri Moissan publish his first scientific paper in 1874?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $0 \\le a,$ $b,$ $c,$ $d \\le 1.$ Find the possible values of the expression\n\\[\\sqrt{a^2 + (1 - b)^2} + \\sqrt{b^2 + (1 - c)^2} + \\sqrt{c^2 + (1 - d)^2} + \\sqrt{d^2 + (1 - a)^2}.\\]",
"role": "user"
}
] |
math
|
{
"ground_truth": "[2 \\sqrt{2},4]",
"style": "rule"
}
|
{
"index": 1344,
"need_tools_kwargs": true,
"question": "Let $0 \\le a,$ $b,$ $c,$ $d \\le 1.$ Find the possible values of the expression\n\\[\\sqrt{a^2 + (1 - b)^2} + \\sqrt{b^2 + (1 - c)^2} + \\sqrt{c^2 + (1 - d)^2} + \\sqrt{d^2 + (1 - a)^2}.\\]",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "For certain ordered pairs $(a,b)\\,$ of real numbers, the system of equations\n\\[\\begin{aligned} ax+by&=2 \\\\ x^2 + y^2 &= 65 \\end{aligned}\\]has at least one solution, and each solution is an ordered pair $(x,y)\\,$ of integers. How many such ordered pairs $(a,b)\\,$ are there?",
"role": "user"
}
] |
math
|
{
"ground_truth": "128",
"style": "rule"
}
|
{
"index": 1345,
"need_tools_kwargs": true,
"question": "For certain ordered pairs $(a,b)\\,$ of real numbers, the system of equations\n\\[\\begin{aligned} ax+by&=2 \\\\ x^2 + y^2 &= 65 \\end{aligned}\\]has at least one solution, and each solution is an ordered pair $(x,y)\\,$ of integers. How many such ordered pairs $(a,b)\\,$ are there?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 particle of mass $m$ moving at speed $v_0$ collides with a particle of mass $M$ which is originally at rest. The fractional momentum transfer $f$ is the absolute value of the final momentum of $M$ divided by the initial momentum of $m$. If the collision is perfectly elastic, what is the maximum possible fractional momentum transfer, $f_{max}$? Provide your answer as a numerical value.",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 1346,
"need_tools_kwargs": true,
"question": "A particle of mass $m$ moving at speed $v_0$ collides with a particle of mass $M$ which is originally at rest. The fractional momentum transfer $f$ is the absolute value of the final momentum of $M$ divided by the initial momentum of $m$. If the collision is perfectly elastic, what is the maximum possible fractional momentum transfer, $f_{max}$? Provide your answer as a numerical value.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let \\(a\\) and \\(b\\) be positive reals such that:\n\\[ a = 1 + \\frac{a}{b} \\]\n\\[ b = 3 + \\frac{4 + a}{b - 2} \\]\nThe original answer is in the form \\(\\sqrt[3]{k}\\). Please find the value of \\(k\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "2",
"style": "rule"
}
|
{
"index": 1347,
"need_tools_kwargs": true,
"question": "Let \\(a\\) and \\(b\\) be positive reals such that:\n\\[ a = 1 + \\frac{a}{b} \\]\n\\[ b = 3 + \\frac{4 + a}{b - 2} \\]\nThe original answer is in the form \\(\\sqrt[3]{k}\\). Please find the value of \\(k\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Are Jahanabad, Salehabad and Kharai-Ye Bala located in the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 1348,
"need_tools_kwargs": true,
"question": "Are Jahanabad, Salehabad and Kharai-Ye Bala 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": "Initially, there were 100 jellybeans in a jar. Emma removed half of them but then added 20 of those removed jellybeans back in. Pat later removed 25% of the jellybeans from the jar and then added 15 jellybeans. After that, Lily doubled the remaining amount of jellybeans in the jar, but then Alex took away 12 jellybeans. George added 7.5 jellybeans, and Noah multiplied the remaining jellybeans by 1.5. Finally, Michelle removed 2/3 of the remaining jellybeans from the jar. How many jellybeans are now in the jar?",
"role": "user"
}
] |
math
|
{
"ground_truth": "65",
"style": "rule"
}
|
{
"index": 1349,
"need_tools_kwargs": true,
"question": "Initially, there were 100 jellybeans in a jar. Emma removed half of them but then added 20 of those removed jellybeans back in. Pat later removed 25% of the jellybeans from the jar and then added 15 jellybeans. After that, Lily doubled the remaining amount of jellybeans in the jar, but then Alex took away 12 jellybeans. George added 7.5 jellybeans, and Noah multiplied the remaining jellybeans by 1.5. Finally, Michelle removed 2/3 of the remaining jellybeans from the jar. How many jellybeans are now in the jar?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 $\\triangle PQR$ , with $PQ=PR=5$ and $QR=6$ , is inscribed in circle $\\omega$ . Compute the radius of the circle with center on $\\overline{QR}$ which is tangent to both $\\omega$ and $\\overline{PQ}$ .",
"role": "user"
}
] |
math
|
{
"ground_truth": "\\frac{20}{9}",
"style": "rule"
}
|
{
"index": 1350,
"need_tools_kwargs": true,
"question": "Triangle $\\triangle PQR$ , with $PQ=PR=5$ and $QR=6$ , is inscribed in circle $\\omega$ . Compute the radius of the circle with center on $\\overline{QR}$ which is tangent to both $\\omega$ and $\\overline{PQ}$ .",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Calculate $10110_2 + 1010_2 - 11100_2 + 1110_2$ in base 2.",
"role": "user"
}
] |
math
|
{
"ground_truth": "01110_2",
"style": "rule"
}
|
{
"index": 1351,
"need_tools_kwargs": true,
"question": "Calculate $10110_2 + 1010_2 - 11100_2 + 1110_2$ in base 2.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the place of birth of the composer of film Anjali (1977 Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Paravoor",
"style": "rule"
}
|
{
"index": 1352,
"need_tools_kwargs": true,
"question": "What is the place of birth of the composer of film Anjali (1977 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": "Factor $36-9x^2$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "-9(x - 2)(x + 2)",
"style": "rule"
}
|
{
"index": 1353,
"need_tools_kwargs": true,
"question": "Factor $36-9x^2$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "For every positive integer $n$, define $f(n)$ as the sum of the digits in the base-five representation of $n$ and let $g(n)$ be the sum of the digits in the base-nine representation of $f(n)$. For instance, if $f(2021) = 9$ (base-five: $31012_5 = 3+1+0+1+2 = 7$ and $7_{\\text{base-nine}}=7$), then $g(2021) = 7$. Find the smallest integer $n$ such that the base-ten representation of $g(n)$ cannot be expressed using only the digits 1 through 8. Report $n$ modulo $100$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "44",
"style": "rule"
}
|
{
"index": 1354,
"need_tools_kwargs": true,
"question": "For every positive integer $n$, define $f(n)$ as the sum of the digits in the base-five representation of $n$ and let $g(n)$ be the sum of the digits in the base-nine representation of $f(n)$. For instance, if $f(2021) = 9$ (base-five: $31012_5 = 3+1+0+1+2 = 7$ and $7_{\\text{base-nine}}=7$), then $g(2021) = 7$. Find the smallest integer $n$ such that the base-ten representation of $g(n)$ cannot be expressed using only the digits 1 through 8. Report $n$ modulo $100$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 son of Francis I elected what ethnicity of Prime Minister?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Hungarian",
"style": "rule"
}
|
{
"index": 1355,
"need_tools_kwargs": true,
"question": "The son of Francis I elected what ethnicity of Prime Minister?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 two prime numbers $p$ so that $5p$ can be expressed in the form $\\left\\lfloor \\dfrac{n^2}{5}\\right\\rfloor$ for some positive integer $n.$ What is the sum of these two prime numbers?",
"role": "user"
}
] |
math
|
{
"ground_truth": "52",
"style": "rule"
}
|
{
"index": 1356,
"need_tools_kwargs": true,
"question": "There are two prime numbers $p$ so that $5p$ can be expressed in the form $\\left\\lfloor \\dfrac{n^2}{5}\\right\\rfloor$ for some positive integer $n.$ What is the sum of these two prime numbers?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Let's say we have four numbers this time, and their sum is 260. The first number is twice the second, the third number is one-third of the first, and the fourth number is the sum of the second and third multiplied by two. What is the second number?",
"role": "user"
}
] |
math
|
{
"ground_truth": "37",
"style": "rule"
}
|
{
"index": 1357,
"need_tools_kwargs": true,
"question": "Let's say we have four numbers this time, and their sum is 260. The first number is twice the second, the third number is one-third of the first, and the fourth number is the sum of the second and third multiplied by two. What is the second number?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What movie is part of the Indian Bengali language franchise and is produced by SVF Entertainment?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Amazon Obhijaan",
"style": "rule"
}
|
{
"index": 1358,
"need_tools_kwargs": true,
"question": "What movie is part of the Indian Bengali language franchise and is produced by SVF Entertainment?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 person, who is the subject of an article in 'The Independent - Life and Style' regarding a rumored relationship and is also mentioned in 'The Age' for receiving a symbolic item during a concert in Kansas City, has a tour scheduled that includes a performance at a venue where she has previously attended a game, as reported by 'CBSSports.com'?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Taylor Swift",
"style": "rule"
}
|
{
"index": 1359,
"need_tools_kwargs": true,
"question": "Which person, who is the subject of an article in 'The Independent - Life and Style' regarding a rumored relationship and is also mentioned in 'The Age' for receiving a symbolic item during a concert in Kansas City, has a tour scheduled that includes a performance at a venue where she has previously attended a game, as reported by 'CBSSports.com'?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 which day, month, and year did Ranjana Desai retire as a judge of the Supreme Court of India?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "29 October 2014",
"style": "rule"
}
|
{
"index": 1360,
"need_tools_kwargs": true,
"question": "On which day, month, and year did Ranjana Desai retire as a judge of the Supreme Court of India?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 American actor was Candace Kita guest starred with ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Bill Murray",
"style": "rule"
}
|
{
"index": 1361,
"need_tools_kwargs": true,
"question": "which American actor was Candace Kita guest starred with ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 real numbers \\(x_1, x_2, x_3\\) satisfy the equations \\(x_1 + \\frac{1}{2} x_2 + \\frac{1}{3} x_3 = 1\\) and \\(x_1^2 + \\frac{1}{2} x_2^2 + \\frac{1}{3} x_3^2 = 3\\), what is the minimum value of \\(x_3\\)?",
"role": "user"
}
] |
math
|
{
"ground_truth": "-1.90909090909091",
"style": "rule"
}
|
{
"index": 1362,
"need_tools_kwargs": true,
"question": "Given the real numbers \\(x_1, x_2, x_3\\) satisfy the equations \\(x_1 + \\frac{1}{2} x_2 + \\frac{1}{3} x_3 = 1\\) and \\(x_1^2 + \\frac{1}{2} x_2^2 + \\frac{1}{3} x_3^2 = 3\\), what is the minimum value of \\(x_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": "Let $\\triangle ABC$ be an isosceles triangle with $AB=AC$ and $BC=14$. The triangle is inscribed in a circle $\\omega$. Let $D$ be a point on the ray $BC$ such that $CD=6$. The intersection of $AD$ and $\\omega$ is point $E$. Given that $AE=7$, find $AC^2$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "105",
"style": "rule"
}
|
{
"index": 1363,
"need_tools_kwargs": true,
"question": "Let $\\triangle ABC$ be an isosceles triangle with $AB=AC$ and $BC=14$. The triangle is inscribed in a circle $\\omega$. Let $D$ be a point on the ray $BC$ such that $CD=6$. The intersection of $AD$ and $\\omega$ is point $E$. Given that $AE=7$, find $AC^2$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which gang did the man who produced the play \"The Bacchae\" belong to?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Dead Rabbits",
"style": "rule"
}
|
{
"index": 1364,
"need_tools_kwargs": true,
"question": "Which gang did the man who produced the play \"The Bacchae\" belong to?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "How many album has the band who created \"The Anomalies of Artificial Origin\" album released? ",
"role": "user"
}
] |
qa
|
{
"ground_truth": "two albums",
"style": "rule"
}
|
{
"index": 1365,
"need_tools_kwargs": true,
"question": "How many album has the band who created \"The Anomalies of Artificial Origin\" album released? ",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "An envelope contains eight bills: $2$ ones, $2$ fives, $2$ tens, and $2$ twenties. Two bills are drawn at random without replacement. What is the probability that their sum is $＄$ $20$ or more? Express your answer in the form of a simplified fraction \\(\\frac{k}{m}\\), and provide the value of \\(k + m\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "3",
"style": "rule"
}
|
{
"index": 1366,
"need_tools_kwargs": true,
"question": "An envelope contains eight bills: $2$ ones, $2$ fives, $2$ tens, and $2$ twenties. Two bills are drawn at random without replacement. What is the probability that their sum is $＄$ $20$ or more? Express your answer in the form of a simplified fraction \\(\\frac{k}{m}\\), and provide the value of \\(k + m\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which country the performer of song Doodlin' (Horace Silver Song) is from?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American",
"style": "rule"
}
|
{
"index": 1367,
"need_tools_kwargs": true,
"question": "Which country the performer of song Doodlin' (Horace Silver Song) 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": "The entire surface of a cube with dimensions $13 \\times 13 \\times 13$ was painted red, and then this cube was cut into $1 \\times 1 \\times 1$ cubes. All faces of the $1 \\times 1 \\times 1$ cubes that were not painted red were painted blue. By what factor is the total area of the blue faces greater than the total area of the red faces?",
"role": "user"
}
] |
math
|
{
"ground_truth": "12",
"style": "rule"
}
|
{
"index": 1368,
"need_tools_kwargs": true,
"question": "The entire surface of a cube with dimensions $13 \\times 13 \\times 13$ was painted red, and then this cube was cut into $1 \\times 1 \\times 1$ cubes. All faces of the $1 \\times 1 \\times 1$ cubes that were not painted red were painted blue. By what factor is the total area of the blue faces greater than the total area of the red faces?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "China's space station has entered the formal construction phase. The Tianhe core module, Wentian experimental module, and Mengtian experimental module will all dock in 2022, forming a \"T\" shaped structure. During the construction phase of the Chinese space station, there are 6 astronauts staying in the space station. It is expected that in a certain construction task, 6 astronauts need to work simultaneously in the Tianhe core module, Wentian experimental module, and Mengtian experimental module. Due to space limitations, each module must have at least 1 person and at most 3 people. The total number of different arrangement plans is ______.",
"role": "user"
}
] |
math
|
{
"ground_truth": "450",
"style": "rule"
}
|
{
"index": 1369,
"need_tools_kwargs": true,
"question": "China's space station has entered the formal construction phase. The Tianhe core module, Wentian experimental module, and Mengtian experimental module will all dock in 2022, forming a \"T\" shaped structure. During the construction phase of the Chinese space station, there are 6 astronauts staying in the space station. It is expected that in a certain construction task, 6 astronauts need to work simultaneously in the Tianhe core module, Wentian experimental module, and Mengtian experimental module. Due to space limitations, each module must have at least 1 person and at most 3 people. The total number of different arrangement plans 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": "Select three different digits from $0, 1, \\cdots, 9$ to form a four-digit number (one of the digits may appear twice), such as 5224. How many such four-digit numbers are there?",
"role": "user"
}
] |
math
|
{
"ground_truth": "3888",
"style": "rule"
}
|
{
"index": 1370,
"need_tools_kwargs": true,
"question": "Select three different digits from $0, 1, \\cdots, 9$ to form a four-digit number (one of the digits may appear twice), such as 5224. How many such four-digit numbers are there?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Solve the equation\n\\[\\arccos (\\cos x) = \\frac{x}{3}.\\]\nEnter all the solutions, separated by commas.",
"role": "user"
}
] |
math
|
{
"ground_truth": "-\\frac{3\\pi}{2}, 0, \\frac{3\\pi}{2}",
"style": "rule"
}
|
{
"index": 1371,
"need_tools_kwargs": true,
"question": "Solve the equation\n\\[\\arccos (\\cos x) = \\frac{x}{3}.\\]\nEnter all the solutions, separated by commas.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Waist Deep?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "American",
"style": "rule"
}
|
{
"index": 1372,
"need_tools_kwargs": true,
"question": "What nationality is the director of film Waist Deep?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Romance sentimentale is a French film directed by this person born in January, 1903.",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Grigori Aleksandrov",
"style": "rule"
}
|
{
"index": 1373,
"need_tools_kwargs": true,
"question": "Romance sentimentale is a French film directed by this person born in January, 1903.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 ordered pairs of integers $(x, y)$ satisfy $2 |y| \\le x \\le 40$?",
"role": "user"
}
] |
math
|
{
"ground_truth": "841",
"style": "rule"
}
|
{
"index": 1374,
"need_tools_kwargs": true,
"question": "How many ordered pairs of integers $(x, y)$ satisfy $2 |y| \\le x \\le 40$?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Portrait is a story by which Ukrainian dramatist?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Nikolai Vasilievich Gogol",
"style": "rule"
}
|
{
"index": 1375,
"need_tools_kwargs": true,
"question": "The Portrait is a story by which Ukrainian dramatist?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 quadrilateral \\(ABCD\\), the sides \\(AB\\), \\(BC\\), and \\(CD\\) are all equal in length. The measure of angle \\(ABC\\) is \\(80^\\circ\\) and the measure of angle \\(BCD\\) is \\(160^\\circ\\). Determine the degree measure of angle \\(BAD\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "90",
"style": "rule"
}
|
{
"index": 1376,
"need_tools_kwargs": true,
"question": "In quadrilateral \\(ABCD\\), the sides \\(AB\\), \\(BC\\), and \\(CD\\) are all equal in length. The measure of angle \\(ABC\\) is \\(80^\\circ\\) and the measure of angle \\(BCD\\) is \\(160^\\circ\\). Determine the degree measure of angle \\(BAD\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 annual football cup is known for its sponsorship by the German brewery that ranks number 2 among Germany's best selling beers?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Brandenburg Cup",
"style": "rule"
}
|
{
"index": 1377,
"need_tools_kwargs": true,
"question": "What annual football cup is known for its sponsorship by the German brewery that ranks number 2 among Germany's best selling beers?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 candles of the same length are made of different materials so that one burns out completely at a uniform rate in $3$ hours and the other in $4$ hours. At what time P.M. should the candles be lighted so that, at 4 P.M., one stub is twice the length of the other?",
"role": "user"
}
] |
math
|
{
"ground_truth": "1:36",
"style": "rule"
}
|
{
"index": 1378,
"need_tools_kwargs": true,
"question": "Two candles of the same length are made of different materials so that one burns out completely at a uniform rate in $3$ hours and the other in $4$ hours. At what time P.M. should the candles be lighted so that, at 4 P.M., one stub is twice the length of the other?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Gauss is a famous German mathematician, known as the \"Prince of Mathematics\". There are 110 achievements named after \"Gauss\". Let $x\\in\\mathbb{R}$, use $[x]$ to represent the largest integer not exceeding $x$, and use $\\{x\\}=x-[x]$ to represent the non-negative fractional part of $x$. Then, $y=[x]$ is called the Gauss function. It is known that the sequence $\\{a_n\\}$ satisfies: $$a_{1}= \\sqrt {3}, a_{n+1}=[a_{n}]+ \\frac {1}{\\{a_{n}\\}}, (n\\in\\mathbb{N}^{*})$$, then $a_{2017}=$ \\_\\_\\_\\_\\_\\_.",
"role": "user"
}
] |
math
|
{
"ground_truth": "3024+ \\sqrt {3}",
"style": "rule"
}
|
{
"index": 1379,
"need_tools_kwargs": true,
"question": "Gauss is a famous German mathematician, known as the \"Prince of Mathematics\". There are 110 achievements named after \"Gauss\". Let $x\\in\\mathbb{R}$, use $[x]$ to represent the largest integer not exceeding $x$, and use $\\{x\\}=x-[x]$ to represent the non-negative fractional part of $x$. Then, $y=[x]$ is called the Gauss function. It is known that the sequence $\\{a_n\\}$ satisfies: $$a_{1}= \\sqrt {3}, a_{n+1}=[a_{n}]+ \\frac {1}{\\{a_{n}\\}}, (n\\in\\mathbb{N}^{*})$$, then $a_{2017}=$ \\_\\_\\_\\_\\_\\_.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A cube with dimensions \\(3 \\mathrm{~cm} \\times 3 \\mathrm{~cm} \\times 3 \\mathrm{~cm}\\) has a \\(1 \\mathrm{~cm} \\times 1 \\mathrm{~cm} \\times 1 \\mathrm{~cm}\\) cube cut from one corner and a \\(2 \\mathrm{~cm} \\times 2 \\mathrm{~cm} \\times 2 \\mathrm{~cm}\\) cube cut from the opposite corner. Calculate the surface area of the resulting solid in square centimeters.",
"role": "user"
}
] |
math
|
{
"ground_truth": "54",
"style": "rule"
}
|
{
"index": 1380,
"need_tools_kwargs": true,
"question": "A cube with dimensions \\(3 \\mathrm{~cm} \\times 3 \\mathrm{~cm} \\times 3 \\mathrm{~cm}\\) has a \\(1 \\mathrm{~cm} \\times 1 \\mathrm{~cm} \\times 1 \\mathrm{~cm}\\) cube cut from one corner and a \\(2 \\mathrm{~cm} \\times 2 \\mathrm{~cm} \\times 2 \\mathrm{~cm}\\) cube cut from the opposite corner. Calculate the surface area of the resulting solid in square centimeters.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Grand Prix car produced that was designed by Porsche 356 between 1933 and 1939?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Zwickau, Germany",
"style": "rule"
}
|
{
"index": 1381,
"need_tools_kwargs": true,
"question": "Where was the Grand Prix car produced that was designed by Porsche 356 between 1933 and 1939?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Consider the sequence of real numbers \\(\\{a_k\\}_{k=1}^{100}\\) defined by \\(a_1=0.5\\), \\(a_2=(0.51)^{a_1}\\), \\(a_3=(0.501)^{a_2}\\), \\(a_4=(0.5101)^{a_3}\\), and in general,\n\\[\na_k=\\begin{cases}(0.\\underbrace{501\\cdots 01}_{k+1\\text{ digits}})^{a_{k-1}}\\qquad \\text{if } k\\text{ is odd,}\\\\\n(0.\\underbrace{510\\cdots 01}_{k+2\\text{ digits}})^{a_{k-1}}\\qquad \\text{if } k\\text{ is even.}\\end{cases}\n\\]\nAfter rearranging the numbers in the sequence \\(\\{a_k\\}_{k=1}^{100}\\) in decreasing order to form a new sequence \\(\\{b_k\\}_{k=1}^{100}\\), determine the sum of all integers \\(k\\) such that \\(a_k=b_k\\) for \\(1 \\leq k \\leq 100\\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "2550",
"style": "rule"
}
|
{
"index": 1382,
"need_tools_kwargs": true,
"question": "Consider the sequence of real numbers \\(\\{a_k\\}_{k=1}^{100}\\) defined by \\(a_1=0.5\\), \\(a_2=(0.51)^{a_1}\\), \\(a_3=(0.501)^{a_2}\\), \\(a_4=(0.5101)^{a_3}\\), and in general,\n\\[\na_k=\\begin{cases}(0.\\underbrace{501\\cdots 01}_{k+1\\text{ digits}})^{a_{k-1}}\\qquad \\text{if } k\\text{ is odd,}\\\\\n(0.\\underbrace{510\\cdots 01}_{k+2\\text{ digits}})^{a_{k-1}}\\qquad \\text{if } k\\text{ is even.}\\end{cases}\n\\]\nAfter rearranging the numbers in the sequence \\(\\{a_k\\}_{k=1}^{100}\\) in decreasing order to form a new sequence \\(\\{b_k\\}_{k=1}^{100}\\), determine the sum of all integers \\(k\\) such that \\(a_k=b_k\\) for \\(1 \\leq k \\leq 100\\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Petya is thinking of a four-digit number of the form \\( \\overline{20 * *} \\).\n\nVasya consecutively checks whether the number chosen by Petya is divisible by 1, 3, 5, 7, 9, 11. If the number is divisible, Vasya pays Petya 1, 3, 5, 7, 9, or 11 rubles respectively. For example, for the number 2000, Vasya would pay Petya \\(1+5=6\\) rubles.\n\nWhat is the maximum number of rubles Petya can receive?",
"role": "user"
}
] |
math
|
{
"ground_truth": "31",
"style": "rule"
}
|
{
"index": 1383,
"need_tools_kwargs": true,
"question": "Petya is thinking of a four-digit number of the form \\( \\overline{20 * *} \\).\n\nVasya consecutively checks whether the number chosen by Petya is divisible by 1, 3, 5, 7, 9, 11. If the number is divisible, Vasya pays Petya 1, 3, 5, 7, 9, or 11 rubles respectively. For example, for the number 2000, Vasya would pay Petya \\(1+5=6\\) rubles.\n\nWhat is the maximum number of rubles Petya can receive?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Do the movies Counselor At Crime and On The Run (1988 Film), originate from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 1384,
"need_tools_kwargs": true,
"question": "Do the movies Counselor At Crime and On The Run (1988 Film), originate from the same country?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "A cubical block of metal weighs 5 pounds. Another cube of the same metal weighs 40 pounds if its sides are a certain ratio longer than the first cube. What is the ratio of the side length of the second cube to the side length of the first cube?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2:1",
"style": "rule"
}
|
{
"index": 1385,
"need_tools_kwargs": true,
"question": "A cubical block of metal weighs 5 pounds. Another cube of the same metal weighs 40 pounds if its sides are a certain ratio longer than the first cube. What is the ratio of the side length of the second cube to the side length of the first cube?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Who lived longer, Manmath Nath Gupta or K. C. Wu?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Manmath Nath Gupta",
"style": "rule"
}
|
{
"index": 1386,
"need_tools_kwargs": true,
"question": "Who lived longer, Manmath Nath Gupta or K. C. Wu?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Breathe In (Film) and director of film Back Trail from the same country?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "yes",
"style": "rule"
}
|
{
"index": 1387,
"need_tools_kwargs": true,
"question": "Are director of film Breathe In (Film) and director of film Back Trail 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": "PUMaCDonalds, a newly-opened fast food restaurant, has 5 menu items. If the first 4 customers each choose one menu item at random, what is the probability that the 4th customer orders a previously unordered item? The probability is given by \\( \\frac{m}{n} \\), where \\( m \\) and \\( n \\) are relatively prime positive integers. Find \\( m+n \\).",
"role": "user"
}
] |
math
|
{
"ground_truth": "189",
"style": "rule"
}
|
{
"index": 1388,
"need_tools_kwargs": true,
"question": "PUMaCDonalds, a newly-opened fast food restaurant, has 5 menu items. If the first 4 customers each choose one menu item at random, what is the probability that the 4th customer orders a previously unordered item? The probability is given by \\( \\frac{m}{n} \\), where \\( m \\) and \\( n \\) are relatively prime positive integers. Find \\( m+n \\).",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the place of birth of the director of film The Gigolo (1960 Film)?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Lyon",
"style": "rule"
}
|
{
"index": 1389,
"need_tools_kwargs": true,
"question": "What is the place of birth of the director of film The Gigolo (1960 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": "find the value of ( 85 + 32 / 113 ) × 113",
"role": "user"
}
] |
math
|
{
"ground_truth": "9635",
"style": "rule"
}
|
{
"index": 1390,
"need_tools_kwargs": true,
"question": "find the value of ( 85 + 32 / 113 ) × 113",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 Jacob Veldhuyzen Van Zanten and Sarah Dougher of the same nationality?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "no",
"style": "rule"
}
|
{
"index": 1391,
"need_tools_kwargs": true,
"question": "Are Jacob Veldhuyzen Van Zanten and Sarah Dougher of the same nationality?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "What is the name of this American actor, comedian, and musician, born in 1980, who starred with Jason Ritter in \"Ode to Janice Melt\"?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Simon Helberg",
"style": "rule"
}
|
{
"index": 1392,
"need_tools_kwargs": true,
"question": "What is the name of this American actor, comedian, and musician, born in 1980, who starred with Jason Ritter in \"Ode to Janice Melt\"?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 opera has more acts Destiny or Rienzi?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Rienzi, der Letzte der Tribunen",
"style": "rule"
}
|
{
"index": 1393,
"need_tools_kwargs": true,
"question": "Which opera has more acts Destiny or Rienzi?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Where did the director of film The Man Who Owed A Death die?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "Buenos Aires",
"style": "rule"
}
|
{
"index": 1394,
"need_tools_kwargs": true,
"question": "Where did the director of film The Man Who Owed A Death 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": "Petya and Vasya are playing the following game. Petya thinks of a natural number \\( x \\) with a digit sum of 2012. On each turn, Vasya chooses any natural number \\( a \\) and finds out the digit sum of the number \\( |x-a| \\) from Petya. What is the minimum number of turns Vasya needs to determine \\( x \\) with certainty?",
"role": "user"
}
] |
math
|
{
"ground_truth": "2012",
"style": "rule"
}
|
{
"index": 1395,
"need_tools_kwargs": true,
"question": "Petya and Vasya are playing the following game. Petya thinks of a natural number \\( x \\) with a digit sum of 2012. On each turn, Vasya chooses any natural number \\( a \\) and finds out the digit sum of the number \\( |x-a| \\) from Petya. What is the minimum number of turns Vasya needs to determine \\( x \\) with certainty?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "You invested a total of $5000.00 in 2 different banks. One bank pays a certain interest rate, and the other bank pays 6.5% interest. You invested $1700 in the first bank and earned a total of $282.50 in interest the first year. What is the interest rate of the first bank?",
"role": "user"
}
] |
math
|
{
"ground_truth": "4\\%",
"style": "rule"
}
|
{
"index": 1396,
"need_tools_kwargs": true,
"question": "You invested a total of $5000.00 in 2 different banks. One bank pays a certain interest rate, and the other bank pays 6.5% interest. You invested $1700 in the first bank and earned a total of $282.50 in interest the first year. What is the interest rate of the first bank?",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{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 non-negative integers $x$ and $y$ satisfy the equation $\\sqrt{x} + \\sqrt{x + 60} = \\sqrt{y}$. Determine the largest possible value of $x$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "196",
"style": "rule"
}
|
{
"index": 1397,
"need_tools_kwargs": true,
"question": "The non-negative integers $x$ and $y$ satisfy the equation $\\sqrt{x} + \\sqrt{x + 60} = \\sqrt{y}$. Determine the largest possible 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": "Among all pairs of real numbers $(x, y)$ such that $\\sin \\sin x = \\sin \\sin y$ with $-10 \\pi \\le x, y \\le 10 \\pi$, Oleg randomly selected a pair $(X, Y)$. Compute the probability that $X = Y$.",
"role": "user"
}
] |
math
|
{
"ground_truth": "0",
"style": "rule"
}
|
{
"index": 1398,
"need_tools_kwargs": true,
"question": "Among all pairs of real numbers $(x, y)$ such that $\\sin \\sin x = \\sin \\sin y$ with $-10 \\pi \\le x, y \\le 10 \\pi$, Oleg randomly selected a pair $(X, Y)$. Compute the probability that $X = Y$.",
"split": "train"
}
| null |
DR_grpo_mix
|
[
{
"content": "You are a helpful assistant that can solve the given question step by step with the help of the wikipedia search tool and python interpreter tool. Given a question, you need to first think about the reasoning process in the mind and then provide the answer. During thinking, you can invoke the wikipedia search tool to search and python interpreter tool to calculate the math problem for fact information about specific topics if needed. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags respectively, and the search query and result are enclosed within <search> </search> and <result> </result> tags respectively. For example, <think> This is the reasoning process. </think> <search> search query here </search> <result> search result here </result> <think> This is the reasoning process. </think> <python> python code here </python> <result> python interpreter result here </result> <think> This is the reasoning process. </think> <answer> The final answer is \\[ \\boxed{answer here} \\] </answer>. In the last part of the answer, the final exact answer is enclosed within \\boxed{} with latex format.",
"role": "system"
},
{
"content": "Which country the director of film Designing Women (Film) is from?",
"role": "user"
}
] |
qa
|
{
"ground_truth": "New Zealand",
"style": "rule"
}
|
{
"index": 1399,
"need_tools_kwargs": true,
"question": "Which country the director of film Designing Women (Film) is from?",
"split": "train"
}
| null |
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