problem string | answer string | tokenized_prompt string | responses list | rewards list | max_reward int64 | mean_reward float64 |
|---|---|---|---|---|---|---|
I will provide a math problem along with a partial solution written by a student attempting to solve the problem. In some cases, the ground-truth answer to the problem may also be provided.
The inputs will be formatted as follows:
[Math Problem]
...(math problem)...
[Answer] (optional)
...(ground-truth answer, if av... | 1 | <|im_start|>user
Please reason step by step, and put your final answer within \boxed{}. I will provide a math problem along with a partial solution written by a student attempting to solve the problem. In some cases, the ground-truth answer to the problem may also be provided.
The inputs will be formatted as follows:
... | [
"<analysis_1>\nThe student begins by correctly interpreting the phrase \"the pentagon $ABCDE$ is inscribed around a circle.\" This is a common source of confusion in geometry.\n\nThe phrase \"inscribed around a circle\" means that the pentagon **surrounds** a circle, i.e., the circle is **tangent to all five sides*... | [
0
] | 0 | 0 |
I will provide a math problem along with a partial solution written by a student attempting to solve the problem. In some cases, the ground-truth answer to the problem may also be provided.
The inputs will be formatted as follows:
[Math Problem]
...(math problem)...
[Answer] (optional)
...(ground-truth answer, if av... | 5 | <|im_start|>user
Please reason step by step, and put your final answer within \boxed{}. I will provide a math problem along with a partial solution written by a student attempting to solve the problem. In some cases, the ground-truth answer to the problem may also be provided.
The inputs will be formatted as follows:
... | [
"<analysis_1>\nThe student begins by correctly identifying the sequences $ a_n $ and $ b_n $ as power towers (tetration) defined recursively:\n\n- $ a_1 = 3 $, $ a_{n+1} = 3^{a_n} $ → this gives $ a_n = 3 \\uparrow\\uparrow n $\n- $ b_1 = 100 $, $ b_{n+1} = 100^{b_n} $ → this gives $ b_n = 100 \\uparrow\\uparrow n ... | [
1
] | 1 | 1 |
I will provide a math problem along with a partial solution written by a student attempting to solve the problem. In some cases, the ground-truth answer to the problem may also be provided.
The inputs will be formatted as follows:
[Math Problem]
...(math problem)...
[Answer] (optional)
...(ground-truth answer, if av... | 4 | <|im_start|>user
Please reason step by step, and put your final answer within \boxed{}. I will provide a math problem along with a partial solution written by a student attempting to solve the problem. In some cases, the ground-truth answer to the problem may also be provided.
The inputs will be formatted as follows:
... | [
"<analysis_1>\nThe student correctly identifies the structure of the problem: the holes are arranged in a line: \n$$ A - B - C - D - E - F - G $$ \nand assigns positions as:\n\n| Hole | Position |\n|------|----------|\n| A | 1 |\n| B | 2 |\n| C | 3 |\n| D | 4 |\n| E | 5 ... | [
1
] | 1 | 1 |
I will provide a math problem along with a partial solution written by a student attempting to solve the problem. In some cases, the ground-truth answer to the problem may also be provided.
The inputs will be formatted as follows:
[Math Problem]
...(math problem)...
[Answer] (optional)
...(ground-truth answer, if av... | 1 | <|im_start|>user
Please reason step by step, and put your final answer within \boxed{}. I will provide a math problem along with a partial solution written by a student attempting to solve the problem. In some cases, the ground-truth answer to the problem may also be provided.
The inputs will be formatted as follows:
... | [
"<analysis_1>\nThe student begins by correctly identifying the structure of the matrix based on the given conditions: each row is an arithmetic sequence, and each column is a geometric sequence with the **same common ratio** $ r $ across all columns.\n\nThey define $ a_{ij} = b_j r^{i-1} $, where $ b_j = a_{1j} $ i... | [
0
] | 0 | 0 |
I will provide a math problem along with a partial solution written by a student attempting to solve the problem. In some cases, the ground-truth answer to the problem may also be provided.
The inputs will be formatted as follows:
[Math Problem]
...(math problem)...
[Answer] (optional)
...(ground-truth answer, if av... | 2 | <|im_start|>user
Please reason step by step, and put your final answer within \boxed{}. I will provide a math problem along with a partial solution written by a student attempting to solve the problem. In some cases, the ground-truth answer to the problem may also be provided.
The inputs will be formatted as follows:
... | [
"<analysis_1>\nThe student begins by correctly identifying the key structural property of the function: \n**$ f(2n) = f(n) $** implies that $ f(n) $ depends only on the **odd part** of $ n $. \n\nThat is, if $ n = 2^k \\cdot m $ with $ m $ odd, then $ f(n) = f(m) $. \n\nThis is a crucial observation. The student... | [
0
] | 0 | 0 |
"I will provide a math problem along with a partial solution written by a student attempting to solv(...TRUNCATED) | 3 | "<|im_start|>user\nPlease reason step by step, and put your final answer within \\boxed{}. I will pr(...TRUNCATED) | ["<analysis_1>\nThe student begins with a clear understanding of the problem: there are 7 safes and (...TRUNCATED) | [
0
] | 0 | 0 |
"I will provide a math problem along with a partial solution written by a student attempting to solv(...TRUNCATED) | 1 | "<|im_start|>user\nPlease reason step by step, and put your final answer within \\boxed{}. I will pr(...TRUNCATED) | ["<analysis_1>\nThe student begins by correctly identifying the structure of the problem: each of th(...TRUNCATED) | [
0
] | 0 | 0 |
"I will provide a math problem along with a partial solution written by a student attempting to solv(...TRUNCATED) | 3 | "<|im_start|>user\nPlease reason step by step, and put your final answer within \\boxed{}. I will pr(...TRUNCATED) | ["<analysis_1>\nThe student begins by correctly interpreting the problem: the fee is a linear combin(...TRUNCATED) | [
0
] | 0 | 0 |
"I will provide a math problem along with a partial solution written by a student attempting to solv(...TRUNCATED) | 5 | "<|im_start|>user\nPlease reason step by step, and put your final answer within \\boxed{}. I will pr(...TRUNCATED) | ["<analysis_1>\nThe student begins by correctly identifying the key structure of the problem: assign(...TRUNCATED) | [
1
] | 1 | 1 |
"I will provide a math problem along with a partial solution written by a student attempting to solv(...TRUNCATED) | 1 | "<|im_start|>user\nPlease reason step by step, and put your final answer within \\boxed{}. I will pr(...TRUNCATED) | ["<analysis_1>\nThe student correctly identifies that the roots of $\\frac{x^{101} - 1}{x - 1}$ are (...TRUNCATED) | [
0
] | 0 | 0 |
End of preview. Expand in Data Studio
README.md exists but content is empty.
- Downloads last month
- 5