Dataset Viewer
message_id
stringclasses 30
values | problem
stringclasses 30
values | answer
stringclasses 30
values | processed_answer
stringclasses 478
values | responses
stringlengths 3.2k
75.2k
| reward
bool 2
classes | prompt_len
int64 50
309
| response_len
int64 1.14k
16.4k
| classifier_scores
sequencelengths 1.23k
16.7k
|
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id_6
| "Let $P(n)=\\left(n-1^{3}\\right)\\left(n-2^{3}\\right) \\ldots\\left(n-40^{3}\\right)$ for positive(...TRUNCATED) |
48
| "Alright, so I've got this problem here: Let P(n) be the product (n - 1³)(n - 2³)...(n - 40³) for(...TRUNCATED) | false | 113 | 16,384 | [0.011331753805279732,0.009412589482963085,0.6610482335090637,0.622459352016449,0.39326852560043335,(...TRUNCATED) |
|
id_2
| "Compute the sum of all two-digit positive integers $x$ such that for all three-digit (base 10) posi(...TRUNCATED) |
64
|
64
| "Alright, so I've got this problem here where I need to compute the sum of all two-digit positive in(...TRUNCATED) | true | 118 | 15,644 | [0.011331753805279732,0.009412589482963085,0.7549149990081787,0.5898345112800598,0.4593186378479004,(...TRUNCATED) |
id_13
| "Sally the snail sits on the $3 \\times 24$ lattice of points $(i, j)$ for all $1 \\leq i \\leq 3$ a(...TRUNCATED) |
4096
|
408
| "Alright, so I have this problem where Sally the snail is sitting on a 3x24 lattice of points. Each (...TRUNCATED) | false | 122 | 11,352 | [0.011331753805279732,0.009412589482963085,0.6306849718093872,0.8679338097572327,0.8418256044387817,(...TRUNCATED) |
id_10
| "Compute the number of ways to divide a $20 \\times 24$ rectangle into $4 \\times 5$ rectangles. (Ro(...TRUNCATED) |
6
|
1
| "Alright, so I have this problem here: I need to compute the number of ways to divide a 20×24 recta(...TRUNCATED) | false | 56 | 10,603 | [0.011331753805279732,0.009412589482963085,0.7549149990081787,0.5898345112800598,0.5954925417900085,(...TRUNCATED) |
id_10
| "Compute the number of ways to divide a $20 \\times 24$ rectangle into $4 \\times 5$ rectangles. (Ro(...TRUNCATED) |
6
|
0
| "Alright, so I have this problem where I need to figure out how many ways there are to divide a 20 b(...TRUNCATED) | false | 56 | 11,611 | [0.011331753805279732,0.009412589482963085,0.7549149990081787,0.5898345112800598,0.5954925417900085,(...TRUNCATED) |
id_15
| "In each cell of a $4 \\times 4$ grid, one of the two diagonals is drawn uniformly at random. Comput(...TRUNCATED) |
\dfrac{1}{512}
|
1
| "Okay, so I have this problem where I need to compute the probability that a randomly drawn set of d(...TRUNCATED) | false | 75 | 13,874 | [0.011331753805279732,0.009412589482963085,0.7386690378189087,0.6343168616294861,0.5817784070968628,(...TRUNCATED) |
id_15
| "In each cell of a $4 \\times 4$ grid, one of the two diagonals is drawn uniformly at random. Comput(...TRUNCATED) |
\dfrac{1}{512}
|
\frac{1}{32768}
| "Okay, so I have this problem here about a 4x4 grid where each cell has one of the two diagonals dra(...TRUNCATED) | false | 75 | 13,424 | [0.011331753805279732,0.009412589482963085,0.7386690378189087,0.6343168616294861,0.5817784070968628,(...TRUNCATED) |
id_10
| "Compute the number of ways to divide a $20 \\times 24$ rectangle into $4 \\times 5$ rectangles. (Ro(...TRUNCATED) |
6
|
1
| "Alright, so I have this problem where I need to figure out how many ways there are to divide a 20 b(...TRUNCATED) | false | 56 | 11,162 | [0.011331753805279732,0.009412589482963085,0.7549149990081787,0.5898345112800598,0.5954925417900085,(...TRUNCATED) |
id_26
| "Let $A B C$ be an acute triangle. Let $D, E$, and $F$ be the feet of altitudes from $A, B$, and $C$(...TRUNCATED) |
8\sqrt{11}
| "Alright, so I have this geometry problem here, and I need to figure out the perimeter of triangle D(...TRUNCATED) | false | 139 | 16,384 | [0.011331753805279732,0.009412589482963085,0.6610482335090637,0.622459352016449,0.39466747641563416,(...TRUNCATED) |
|
id_2
| "Compute the sum of all two-digit positive integers $x$ such that for all three-digit (base 10) posi(...TRUNCATED) |
64
|
64
| "Okay, so I have this problem here where I need to compute the sum of all two-digit positive integer(...TRUNCATED) | true | 118 | 14,211 | [0.011331753805279732,0.009412589482963085,0.7549149990081787,0.5898345112800598,0.4593186378479004,(...TRUNCATED) |
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