This... is interesting. The oldest kid here is taking Calc III, The Calculus of Multiple Variables. There's a whole thing every week where she winds up spending a lot of time transcribing her homework into a more readable form so that she can turn in her work on the assignment's due date. I wondered if an LLM could help with that. I tried out ChatGPT 5.3 with this picture to start. Believe it or not, this contians two homework problem, (and, accidentally, my foot.) I asked "Please write these two math solutions as laTeX and write them to a pdf file." I wasn't too surprised when it replied with --------- "I only have one photo so far, and parts of it are too hard to read reliably to typeset without guessing. From the visible top portion, I can make out a problem that looks like T ( x , y ) = 60 1 + x 2 + y 2 T(x,y)=\frac{60}{1+x^2+y^2} T ( x , y ) = 1 + x 2 + y 2 60 with partial derivatives like ∂ T ∂ x = − 120 x ( 1 + x 2 + y 2 ) 2 , ∂ T ∂ y = − 120...