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string
answer
string
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int64
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response__metadata
list
eval_correct
list
prompt_name
string
Find the sum of all integer bases $b>9$ for which $17_b$ is a divisor of $97_b.$
70
1
[ "Number Theory" ]
[{"content":"You are a math contest problem–solving assistant. You will be given a single self-con(...TRUNCATED)
["First, rewrite the given numbers in base 10:\n\n- \\(17_b = 1 \\times b + 7 = b + 7\\).\n- \\(97_b(...TRUNCATED)
[{"endpoint_type":"chat","litellm_function":"acompletion","model":"gpt-4.1-mini-2025-04-14","raw_pro(...TRUNCATED)
[{"cost":0.0022924,"finish_reason":"stop","input_tokens":1283,"model":"gpt-4.1-mini-2025-04-14","out(...TRUNCATED)
[ true, false, true, true, true, true, true, true, true, true ]
inputs_only_rlm_final
"On $\\triangle ABC$ points $A, D, E$, and $B$ lie in that order on side $\\overline{AB}$ with $AD =(...TRUNCATED)
588
2
[ "Geometry" ]
[{"content":"You are a math contest problem–solving assistant. You will be given a single self-con(...TRUNCATED)
["**Given:**\n\n- Points on segment \\( AB \\) in order: \\( A, D, E, B \\) with lengths \\( AD=4 \\(...TRUNCATED)
[{"endpoint_type":"chat","litellm_function":"acompletion","model":"gpt-4.1-mini-2025-04-14","raw_pro(...TRUNCATED)
[{"cost":0.0041275999999999995,"finish_reason":"stop","input_tokens":1863,"model":"gpt-4.1-mini-2025(...TRUNCATED)
[ true, true, true, false, true, false, true, true, true, true ]
inputs_only_rlm_final
"The 9 members of a baseball team went to an ice-cream parlor after their game. Each player had a si(...TRUNCATED)
16
3
[ "Combinatorics" ]
[{"content":"You are a math contest problem–solving assistant. You will be given a single self-con(...TRUNCATED)
["We have 9 players and 3 flavors: Chocolate (C), Vanilla (V), Strawberry (S). Each player chooses e(...TRUNCATED)
[{"endpoint_type":"chat","litellm_function":"acompletion","model":"gpt-4.1-mini-2025-04-14","raw_pro(...TRUNCATED)
[{"cost":0.0024855999999999997,"finish_reason":"stop","input_tokens":1366,"model":"gpt-4.1-mini-2025(...TRUNCATED)
[ false, true, true, true, true, true, true, false, true, true ]
inputs_only_rlm_final
"Find the number of ordered pairs $(x,y)$, where both $x$ and $y$ are integers between $-100$ and $1(...TRUNCATED)
117
4
[ "Algebra" ]
[{"content":"You are a math contest problem–solving assistant. You will be given a single self-con(...TRUNCATED)
["Given the equation:\n\\[\n12x^2 - xy - 6y^2 = 0\n\\]\nwith \\(x, y \\in \\{-100, -99, \\ldots, 99,(...TRUNCATED)
[{"endpoint_type":"chat","litellm_function":"acompletion","model":"gpt-4.1-mini-2025-04-14","raw_pro(...TRUNCATED)
[{"cost":0.0027884,"finish_reason":"stop","input_tokens":1307,"model":"gpt-4.1-mini-2025-04-14","out(...TRUNCATED)
[ true, true, true, true, true, true, true, true, true, true ]
inputs_only_rlm_final
"There are $8!= 40320$ eight-digit positive integers that use each of the digits 1, 2, 3, 4, 5, 6, 7(...TRUNCATED)
279
5
[ "Combinatorics", "Number Theory" ]
[{"content":"You are a math contest problem–solving assistant. You will be given a single self-con(...TRUNCATED)
["We are given all 8-digit integers using each digit from 1 to 8 exactly once. There are \\(8! = 403(...TRUNCATED)
[{"endpoint_type":"chat","litellm_function":"acompletion","model":"gpt-4.1-mini-2025-04-14","raw_pro(...TRUNCATED)
[{"cost":0.0046996,"finish_reason":"stop","input_tokens":1329,"model":"gpt-4.1-mini-2025-04-14","out(...TRUNCATED)
[ true, false, false, false, false, false, false, false, true, false ]
inputs_only_rlm_final
"An isosceles trapezoid has an inscribed circle tangent to each of its four sides. The radius of the(...TRUNCATED)
504
6
[ "Geometry" ]
[{"content":"You are a math contest problem–solving assistant. You will be given a single self-con(...TRUNCATED)
["**Step 1: Understand the problem**\n\nWe have an isosceles trapezoid with an inscribed circle (tan(...TRUNCATED)
[{"endpoint_type":"chat","litellm_function":"acompletion","model":"gpt-4.1-mini-2025-04-14","raw_pro(...TRUNCATED)
[{"cost":0.0023892,"finish_reason":"stop","input_tokens":1333,"model":"gpt-4.1-mini-2025-04-14","out(...TRUNCATED)
[ true, true, true, true, true, true, true, true, true, true ]
inputs_only_rlm_final
"The twelve letters $A$,$B$,$C$,$D$,$E$,$F$,$G$,$H$,$I$,$J$,$K$, and $L$ are randomly grouped into s(...TRUNCATED)
821
7
[ "Combinatorics" ]
[{"content":"You are a math contest problem–solving assistant. You will be given a single self-con(...TRUNCATED)
["**Problem restatement:**\nWe have 12 distinct letters: \\(A, B, C, D, E, F, G, H, I, J, K, L\\). T(...TRUNCATED)
[{"endpoint_type":"chat","litellm_function":"acompletion","model":"gpt-4.1-mini-2025-04-14","raw_pro(...TRUNCATED)
[{"cost":0.0071128,"finish_reason":"length","input_tokens":1398,"model":"gpt-4.1-mini-2025-04-14","o(...TRUNCATED)
[ false, false, false, false, false, false, false, false, false, false ]
inputs_only_rlm_final
"Let $k$ be a real number such that the system\n\\begin{align*} |25+20i-z|&=5\\\\ |z-4-k|&=|z-3i-k| (...TRUNCATED)
77
8
[ "Algebra" ]
[{"content":"You are a math contest problem–solving assistant. You will be given a single self-con(...TRUNCATED)
["**Step 1: Understand the problem**\n\nWe have a complex variable \\( z \\) and a real parameter \\(...TRUNCATED)
[{"endpoint_type":"chat","litellm_function":"acompletion","model":"gpt-4.1-mini-2025-04-14","raw_pro(...TRUNCATED)
[{"cost":0.0041868,"finish_reason":"stop","input_tokens":1367,"model":"gpt-4.1-mini-2025-04-14","out(...TRUNCATED)
[ true, true, true, false, true, true, false, false, false, false ]
inputs_only_rlm_final
"The parabola with equation $y = x^2 - 4$ is rotated $60^\\circ$ counterclockwise around the origin.(...TRUNCATED)
62
9
[ "Algebra" ]
[{"content":"You are a math contest problem–solving assistant. You will be given a single self-con(...TRUNCATED)
["**Step 1: Understand the problem**\n\nWe start with the parabola:\n\\[\ny = x^2 - 4.\n\\]\n\nWe ro(...TRUNCATED)
[{"endpoint_type":"chat","litellm_function":"acompletion","model":"gpt-4.1-mini-2025-04-14","raw_pro(...TRUNCATED)
[{"cost":0.007096399999999999,"finish_reason":"length","input_tokens":1357,"model":"gpt-4.1-mini-202(...TRUNCATED)
[ false, false, false, false, false, false, false, false, false, false ]
inputs_only_rlm_final
"The $27$ cells of a $3 \\times 9$ grid are filled in using the numbers $1$ through $9$ so that each(...TRUNCATED)
81
10
[ "Combinatorics" ]
[{"content":"You are a math contest problem–solving assistant. You will be given a single self-con(...TRUNCATED)
["**Step 1: Understand the problem**\n\nWe have a \\(3 \\times 9\\) grid divided into three \\(3 \\t(...TRUNCATED)
[{"endpoint_type":"chat","litellm_function":"acompletion","model":"gpt-4.1-mini-2025-04-14","raw_pro(...TRUNCATED)
[{"cost":0.0046916,"finish_reason":"stop","input_tokens":1561,"model":"gpt-4.1-mini-2025-04-14","out(...TRUNCATED)
[ false, false, false, false, false, false, false, false, false, false ]
inputs_only_rlm_final
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aime-2025-gepa-inputs-only-rlm-final

AIME GEPA: Inputs-Only RLM Final — AIME 2025 prompt evaluation results from GEPA prompt optimization.

Evaluated on 150 AIME 2025 problems (MathArena/aime_2025 x5) with 10 samples per problem using openai/gpt-4.1-mini at temperature 0.7.

Results

Metric Value
pass@1 0.3400
pass@2 0.4200
pass@3 0.4733
pass@4 0.5333
pass@5 0.5400
pass@6 0.5533
pass@7 0.5533
pass@8 0.5667
pass@9 0.5667
pass@10 0.5800

Details

Parameter Value
Model openai/gpt-4.1-mini
Temperature 0.7
Max tokens 4096
Samples per problem 10
Test examples 150

Usage

from datasets import load_dataset
ds = load_dataset("reasoning-degeneration-dev/aime-2025-gepa-inputs-only-rlm-final", split="train")

Tracked in reasoning-degeneration-dev/PROJECT-MANIFEST

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