AIME math problems test creativity and logic, not memorization — exactly what modern AI models are learning to do.
For example, an AIME problem like finding all integers where n40−n\frac{n}{40-n}40−nn​ is an integer teaches structured reasoning: the AI must reformulate, test divisibility, and generalize — just like a human.
These problems help researchers measure how well AI can think symbolically, reason step-by-step, and explain its logic.
In essence, AIME-style math serves as a miniature lab for studying true intelligence — where solving equations becomes a window into how AI learns to reason.