u/AstralKey1

I've been building CruxMath, a free site with hints that show the intuition behind a solution rather than reveal the whole solution at once in the hope that it will teach students better than regular practice problems.

For example, here is 2026 AIME II #1:

"Find the sum of the 10th terms of all arithmetic sequences of integers that have first term equal to 4 and include both 24 and 34 as terms."

The first hint is:

"Every term is 4 plus a multiple of d. Since 24 and 34 both appear, what must be true about 24−4 and 34−4?"

Does that reveal too much/too little? More importantly, would it help teach someone to see a similar idea in a future problem?

Would love any feedback. The full hint sequence and solution are at cruxmath.com.

I feel like AI should be incredibly useful for learning math, and I've been trying to apply it to my amc prep. One way of using AI I've found useful is having it explain the motivation behind certain solutions. It is pretty good at explaining why someone would actually think of a certain method for solving a problem.

This can be especially helpful if you feed it an already existing solution from aops and then have it generate hints based off of that solution that tell you the motivation behind them. This way it most likely won't hallucinate, and I get hints that I can look at one at a time when I get stuck on a problem.

I got tired of doing this by hand every time, so I built a website for it: cruxmath.com. It's completely free, has no ads, and no sign up. It currently has hints for every AIME since 2020 and the last 5 questions of the AMCs since 2022. I'm curious what you guys think of the hints and if they are helpful. I would love any other ideas on how to use AI to prepare for math competitions.