I've tried polish remover, which got the stains off the tile, but it hasn't done more than slightly lighten the polish stains in the grout.
I've tried using acetone and comet without much success. Part of my problem is I live in an apartment and will be moving out in a few months. My mom says she knows of something else I can try. Thanks for all of the answers, and give more if you know of something else I should try.