Problem Analysis #14

KT Mi:dm 2.0 Base Instruct · Run 1

Correct
0.90s
856 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

To solve the problem, we need to determine the value of p+qp + q where p/qp/q is the fraction representing the value 3/53/5 in lowest terms.

  1. Identify the given fraction: The problem states that the required value is 3/53/5.

  2. Check if the fraction is in lowest terms: The fraction 3/53/5 is already in its simplest form because the greatest common divisor (GCD) of 3 and 5 is 1.

  3. Extract pp and qq: From 3/53/5, we have p=3p = 3 and q=5q = 5.

  4. Calculate p+qp + q: Add the values of pp and qq:

    p+q=3+5=8p + q = 3 + 5 = 8

Thus, the final answer is 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 · KT Mi:dm 2.0 Base Instruct | EntropyMath