# Endless Exam

The authors introduce the Endless Exam, a benchmark spanning fourteen parameterised families of mathematical construction problems with 69 evaluation instances, where each submitted object is automatically checked for validity and given an uncapped relative quality score (100 marks average reference parity); across nine models and seventeen configurations, tool-free overall scores span 7.55 to 91.90, and with code and web access GPT-6 Astra, GPT-5.6 Luna and Claude Opus 5.5 reach 143.16, 119.35 and 180.06, while none of the 30 published-frontier references is surpassed.

The authors introduce the Endless Exam, a benchmark spanning fourteen parameterised families of mathematical construction problems with 69 evaluation instances, where each submitted object is automatically checked for validity and given an uncapped relative quality score (100 marks average reference parity); across nine models and seventeen configurations, tool-free overall scores span 7.55 to 91.90, and with code and web access GPT-6 Astra, GPT-5.6 Luna and Claude Opus 5.5 reach 143.16, 119.35 and 180.06, while none of the 30 published-frontier references is surpassed.