Beauty and the Beast was the first movie my mom took me to, my senior show in high school (I was Maurice), and one of the shows I did in college. I can tell you from experience that there is no way to get those songs out of your head.
Also, I’m an engineer, and I use all that math you hate all the time. What sucked was going to art classes, English classes, and all the other crap I’ll never need. I’ve NEVER had to write a 5 paragraph persuasive essay or paint a picture since high school.