"5.11 or 5.9 which number is greater?" was a meme query a few months ago to ask an LLM as it would confidenly prove how 5.11 is greater - so yes, we do need expert validation!
You don't have to believe me on this, just your own lying eyes. Go try this for yourself right now: ask it dy/dx of h(x)/g(x) where h(x) is x^3 + 1 and g(x) is -2e^x. That's a random Math Academy review problem I did last night that I pulled out of Notes.app. Go look.