API · no tools. This is the prompt and response recorded for this attempt; a full solution may not have been returned.
Problem Statement
Return a single integer only. The problem has been revised so that no final answer is an irrational number, a parameterized expression, a range, a proof, a drawing, a graph, a locus equation, or a region description.
In the original parametric-plane problem, one required value is . If this value is in lowest terms, find .
Ground Truth
8
Recorded model response / solution
Reasoning Process
8
Final Model Output
Final answer not extractable
A response was recorded, but no answer matching the evaluation format was found.
Comparative Analysis (P14) (Average across runs)
Averages use reported measurements only. Missing usage is not treated as zero.
Avg Time Taken
K-EXAONE-236B-A23B
24.3
DeepSeek V4 Pro
8.6
GPT-5.5
4.7
Claude Opus 4.8
3.7
Gemini 3.5 Flash
3.6
Solar Pro 3
2.7
KT Mi:dm 2.0 Base Instruct
0.6
Avg Token Usage
KT Mi:dm 2.0 Base Instruct
856
K-EXAONE-236B-A23B
681
Gemini 3.5 Flash
676
Solar Pro 3
574
DeepSeek V4 Pro
459
GPT-5.5
299
Claude Opus 4.8
217