Is it correct to say "Would you mind to do something?". I've seen this usage in a few places, but it doesn't sound right to me. I would guess that it's proper to use "Would you mind doing something?" instead.
Yet there are other verbs we could substitute here that make it sound correct with "to". For example, "Would you like to do something?" and "Would you care to do something?"
Could someone explain why "mind to" doesn't sound correct in this context, while "like to" and "care to" sound exactly right?