I just removed an old carpet that had been glued directly to the concrete
floor. The carpet came up ok, but now I've got all this glue to remove
before I can paint the floor.

Any suggestions as to how I should proceed?

Anthony

I have a similar problem. Glue is very difficult to get off, you're
talking some sort of petroleum based remover and even at that the
surface will be difficult to get clean enough to paint IMO.