Axiom says its AI found solutions to several long-standing math problems, a sign of the technology’s steadily advancing reasoning capabilities.

Artificial intelligence systems may be good at generating text, recognizing images, and even solving basic math problems—but when it comes to advanced mathematical reasoning, they are hitting a wall.

Jenny Quinn travels with math in her backpack. She unpacks it piece by piece: bright, 3D-printed shapes that click together into perfect rectangles. As she moves the Fibonacci sequence puzzle around, ...