Problem Analysis #14

K-EXAONE-236B-A23B · Run 1

Correct
63.39s
519 toks

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 3/53/5. If this value is p/qp/q in lowest terms, find p+qp+q.

Ground Truth
8
Recorded model response / solution
Reasoning Process

The problem states that the required value is $$\frac{3}{5}$$, which is already in its lowest terms. For a fraction $$\frac{p}{q}$$ in lowest terms, pp and qq must be coprime integers with no common divisors other than 1. Here, p=3p = 3 and q=5q = 5, since gcd(3,5)=1\gcd(3, 5) = 1. Therefore, p+q=3+5=8p + q = 3 + 5 = 8.

8\boxed{8}
Final Model Output
8

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
856.0
K-EXAONE-236B-A23B
681.0
Gemini 3.5 Flash
676.3
Solar Pro 3
573.7
DeepSeek V4 Pro
458.7
GPT-5.5
299.3
Claude Opus 4.8
217.0
    Tokyo · Problem 14 · K-EXAONE-236B-A23B | EntropyMath