If it has paint on the floor a sanding disk will gum up.If the glue is still gummy it will gum up as well . it will either need it be scraped up with razor scrapes or the rent a concrete resurfacing machine. you can rent one at home depot. It's very dusty process so take appropriate measures to prepare. staining concrete isnt bad. most of the work is in the preparation. on a side note if you remove the cove base cut the top where it needs the sheetrock so it won't rip the paper off the sheet rock. kinda pull it from the top down.