Dataset Viewer
problem
string | hint
string | completions
sequence | corrects
sequence | acc
float64 | answer
string |
|---|---|---|---|---|---|
Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$ | ["<think>\nOkay, so I need to find all integer bases b greater than 9 where the number 17_b is a div(...TRUNCATED) | [
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true
]
| 1 | 70 |
|
"In $\\triangle ABC$ points $D$ and $E$ lie on $\\overline{AB}$ so that $AD < AE < AB$, while points(...TRUNCATED) | ["<think>\nOkay, let me try to solve this problem step by step. First, let me understand the given i(...TRUNCATED) | [
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
false,
true,
true,
true,
true,
false
]
| 0.875 | 588 |
|
"The $9$ members of a baseball team went to an ice-cream parlor after their game. Each player had a (...TRUNCATED) | ["<think>\nOkay, so there's this problem about a baseball team with 9 players who each got a single (...TRUNCATED) | [
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true
]
| 1 | 16 |
|
"Find the number of ordered pairs $(x,y)$, where both $x$ and $y$ are integers between $-100$ and $1(...TRUNCATED) | ["<think>\nOkay, so I need to find the number of ordered pairs (x, y) where both x and y are integer(...TRUNCATED) | [
true,
false,
true,
true,
true,
true,
false,
true,
true,
true,
true,
true,
true,
true,
true,
true
]
| 0.875 | 117 |
|
"There are $8!= 40320$ eight-digit positive integers that use each of the digits $1, 2, 3, 4, 5, 6, (...TRUNCATED) | ["<think>\nOkay, so I need to find the number of eight-digit numbers using each of the digits 1 thro(...TRUNCATED) | [
true,
false,
true,
false,
true,
true,
true,
true,
false,
true,
true,
false,
false,
true,
true,
true
]
| 0.6875 | 279 |
|
"An isosceles trapezoid has an inscribed circle tangent to each of its four sides. The radius of the(...TRUNCATED) | ["<think>\nOkay, so I need to find r² + s² where r and s are the lengths of the two parallel sides(...TRUNCATED) | [
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true,
true
]
| 1 | 504 |
|
"The twelve letters $A$,$B$,$C$,$D$,$E$,$F$,$G$,$H$,$I$,$J$,$K$, and $L$ are randomly grouped into s(...TRUNCATED) | ["<think>\nOkay, so I need to find the probability that the last word listed contains the letter G. (...TRUNCATED) | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
]
| 0 | 821 |
|
"Let $k$ be a real number such that the system \\begin{align*} &|25 + 20i - z| = 5 \\ &|z - 4 - k| =(...TRUNCATED) | ["<think>\nOkay, let's tackle this problem step by step. The question is about finding all real numb(...TRUNCATED) | [
false,
false,
true,
true,
false,
false,
false,
false,
false,
true,
false,
false,
false,
true,
true,
false
]
| 0.3125 | 77 |
|
"The parabola with equation $y = x^2 - 4$ is rotated $60^\\circ$ counterclockwise around the origin.(...TRUNCATED) | ["<think>\nOkay, so I need to solve this problem where a parabola y = x² - 4 is rotated 60 degrees (...TRUNCATED) | [
false,
true,
false,
false,
false,
false,
false,
true,
true,
false,
true,
false,
false,
false,
false,
false
]
| 0.25 | 62 |
|
"The $27$ cells of a $3 \\times 9$ grid are filled in using the numbers $1$ through $9$ so that each(...TRUNCATED) | "No hint.[dir]={\n \"question\": \"Given a 3×9 grid where each row uses distinct numbers from 1…(...TRUNCATED) | ["<think>\nOkay, let's tackle this problem step by step. The question is about counting the number o(...TRUNCATED) | [
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false,
false
]
| 0 | 81 |
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