messages list | ground_truth string | dataset string | source string | frontier_id string | olmo_completions list | verifier_scores list | avg_score float64 |
|---|---|---|---|---|---|---|---|
[{"content":"A 8-gon is colored so that in clockwise order, the vertices are colored as follows: ver(...TRUNCATED) | 8 | math | Omega_Filtered_LC | 5ebda4a2bc628f9ff9fa86b5cc83d1ff597f69670fb2373e67be67044a8167ad | [".\n\n\nOkay, so I need to solve this problem about an 8-gon with specific colored vertices and fin(...TRUNCATED) | [
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[{"content":"Let $S$ be the set \\{1,2, \\ldots, 2012\\}. A perfectutation is a bijective function $(...TRUNCATED) | 2 | math | MathSub_Filtered_LC | c15d20c19ac863deb0bdc324d85f7f11ab23d7212ec2efc43450397392676def | [" has a very easy solution, I would like to use this as an example problem to show off my skills, b(...TRUNCATED) | [
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[{"content":"Problem 7.1. (15 points) Find the smallest ten-digit natural number, all digits of whic(...TRUNCATED) | 9024675318 | math | MathSub_Filtered_LC | 718d5199a5fb7665a7e605414228f2b04416aac664601642329383a838657b0d | [" \\item Question 7.2. Prove that there are no natural numbers $n$ such that $n+11, n+17, n+113, n+(...TRUNCATED) | [
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[{"content":"Determine the smallest positive integer $m$ with the property that $m^3-3m^2+2m$ is div(...TRUNCATED) | 1660 | math | MathSub_Filtered_LC | d09425200e9c690b77f7d20fd78bac01da8668af20a478c2610629f62b33aa93 | [" and the normal formatting you have been using for each other answer.\nOkay, so I need to find the(...TRUNCATED) | [
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[{"content":"Four small spheres each with radius $6$ are each internally tangent to a large sphere w(...TRUNCATED) | 56 | math | MathSub_Filtered_LC | 1949ebe6831b9f12a938ec9231cf381dbf80f1e4bb79171c2d1f5bef69b579bf | [" and only your answer the rest of your solution will go on other lines. \n\nOkay, let's see. I hav(...TRUNCATED) | [
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[{"content":"A function $f$ is defined for all real numbers and satisfies $f(3+x)=f(3-x)$ and $f(8+x(...TRUNCATED) | 601 | math | MathSub_Filtered_LC | 8aa40422bea002e17485b18377f9ac7b006439a5a13549fd8e775f5d8ea39f27 | [" (Do not put the \"$Answer:\" on its own line).\nThe problem asks for the least number of roots of(...TRUNCATED) | [
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[{"content":"A farmer's rectangular field is partitioned into a $2$ by $2$ grid of $4$ rectangular s(...TRUNCATED) | 84 | math | MathSub_Filtered_LC | 45fb2f78151ea2d013eba757da865dd84086221c443ec8af1600a94ca9b46c99 | [" but before your quote. \n\n[asy]\ndraw((0,0)--(6,0)--(6,2)--(0,2)--cycle);\ndraw((3,0)--(3,2));\n(...TRUNCATED) | [
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[{"content":"Suppose that we are given 40 points equally spaced around the perimeter of a square, so(...TRUNCATED) | 841 | math | MathSub_Filtered_LC | 80a7415f3d3c2d661bc39ecc31a35c8d52c89eeb306117bc8e13150d823f1abc | [" if you find that the statement is false, add your counterexample to the end.\n\nPlease only answe(...TRUNCATED) | [
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[{"content":"In the convex quadrilateral $A B C D$, the midpoints of sides $B C$ and $C D$ are $E$ a(...TRUNCATED) | 6 | math | MathSub_Filtered_LC | 1c521f0deea94e10a22f77c3a3cecbbc851efb0cbde656e25547f4321b8e9916 | [" In the convex quadrilateral $A B C D$, the midpoints of sides $B C$ and $C D$ are $E$ and $F$ res(...TRUNCATED) | [
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[{"content":"Calculate the largest eigenvalue by absolute value for the matrix:\n[[4, -4, -6],\n [-4(...TRUNCATED) | 12 | math | Omega_Filtered_LC | 5b442c21801ad52c96f876fdde44f075f5b63ddbb36a31feee27981de27893e7 | [" sniperRifleModel:\n[[true, false, true, false],\n[false, false, true, true],\n[true, false, true,(...TRUNCATED) | [
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