It’s surprisingly difficult to prove one of the most basic properties of a number: whether it can be written as a fraction. A broad new method can help settle this ancient question. In June 1978, the ...

It Struggled With Basic Math. ... The Khanmigo artificial-intelligence tool sometimes wasn’t sure of the answer to arithmetic questions. Illustration: Parker Eshelman/WSJ, Khan Academy, ...

The GHOSTS data set included questions from a graduate-level math textbook, offered fill-in-the-blank proof questions, gave incredibly hard advanced problems, and asked ChatGPT to integrate ...