Wouldn't you care to have a rest in our coach?
If your record were written, would you care to have everybody read it?
It's not a decision I would care to have to make.
Perhaps you would care to have a word with him, Captain.
It is not a picture I'd care to have on my wall.
Then perhaps you would care to have some of our literature.
Not a problem I'd care to have on my hands.
"A photograph our good friend didn't seem to care to have around," I said.
"Do most of us really care to have the record set straight?"
"My next question is whether you'd care to have dinner with me tonight."