Problem Analysis #9

GPT-5.5 · Run 1

Correct

8.29s

461 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.

Let

f(x)=2x^3+10x^2+20x.

Find the number of integers $x$ for which $f(x)$ is prime.

Ground Truth

Recorded model response / solution

Reasoning Process

\boxed{0}

Final Model Output

Comparative Analysis (P9) (Average across runs)

Averages use reported measurements only. Missing usage is not treated as zero.

Avg Time Taken

K-EXAONE-236B-A23B

44.0

DeepSeek V4 Pro

27.6

Claude Opus 4.8

13.8

Solar Pro 3

11.4

GPT-5.5

11.0

Gemini 3.5 Flash

9.5

KT Mi:dm 2.0 Base Instruct

2.2

Avg Token Usage

K-EXAONE-236B-A23B

6476.7

DeepSeek V4 Pro

2180.7

Gemini 3.5 Flash

2006.7

Solar Pro 3

1929.3

KT Mi:dm 2.0 Base Instruct

1329.0

Claude Opus 4.8

938.3

GPT-5.5

540.3