Depends on how bad they are.
1. You can spot prime and then sand the area flat. May take more than
one coat. Probably have to use wet/dry paper too, primers nowadays don't
sand worth a damn.
2. Sand/scrape the existing area to feather the edges.
3. Fill with drywall compound, sand flat and spot prime.


I bought some joint compound to fill in the places where the paint peeled
off down to the plaster.

Regardless, you have to get off *ALL* loose/bubbling paint.
___________________________

What about the paper/glue remnants I
couldn't get off?

You have to get them off...or do as above. WTF did you glue the paper on
with, Resorcinol?


I bought the house 9 months ago. I'm ready to shoot the sellers They
didn't use primer before applying the wallpaper. Not to mention all of
the other idiotic things they've done (throw away gutter downspouts so
moving the lawn was easier, glue ****ty carpet to the basement floor, put
drywall over the outside faucet access valve, the list goes on...things I
didn't notice when buying or during home inspection)