API · no tools. This is the prompt and response recorded for this attempt; a full solution may not have been returned.
Problem Statement
This is a Korean CSAT mathematics multiple-choice problem. Solve it and put only the correct choice symbol, one of ①, ②, ③, ④, ⑤, inside \boxed{}.
Problem 13 Consider the functionf(x) =x 2 −4x−3. Letℓbe the tangent line to the curvey=f(x) at the point (1,−6). For the functiong(x) = (x 3 −2x)f(x), letmbe the tangent line to the curvey=g(x) at the point (1,6). Find the area of the region bounded by the two linesℓ,m, and they-axis. [4 points] ①21 ②28 ③35 ④42 ⑤49
Ground Truth
⑤
Recorded model response / solution
Reasoning Process
\boxed{⑤}
Final Model Output
⑤
Comparative Analysis (P12) (Average across runs)
Averages use reported measurements only. Missing usage is not treated as zero.
Avg Time Taken
Motif 3
27.3
Solar Pro 4
18.6
Kimi K3
9.5
K-EXAONE-2
3.0
Avg Token Usage
Solar Pro 4
1403.3
K-EXAONE-2
1131.0
Kimi K3
885.3