You must use math questions that have never entered the training data set for testing to know whether LLM has real reasoning capabilities.
https://venturebeat.com/ai/ais-math-problem-frontiermath-ben...
I like the tentativeness, I see a lot of : wait, But, perhaps, maybe, This is getting too messy, this is confusing, that can't be right, this is getting too tricky for me right now, this is very difficult.
I kind of find it harder to not anthropomorphise when comparing with ChatGPT. It feels like it's trying to solve it from first principles but with the depth of Highschool Physics knowledge.