ChatGPT will gobble up every symbolic manipulation task I give to it. At worst, sometimes I have to check its output and point out anything weird, then it’ll correct it.
I’m writing pages over pages of scary differential equations and the damn thing is saving me lots of time on it. And everything checks out! I wonder about GPT 4, since it is supposed to give correct answers without help as often as the average calculus student…
Cool thing would be combining SymPy (symbolic calculation library for Python) and ChatGPT. You’d basically ask it to generate code for you that symbolically solves your problem and then you can try out the code yourself to see whether ChatGPT solved the problem or was just hallucinating.