"Would you care to make a comment at this time?"

This is one last report I do not care to make.

He'd had too many threats to care to make things easy for anyone who might want him dead.

He did not care to make the best of any one!

"Do either of you have any comments you'd care to make on what we've just seen?"

"This is a private matter and I don't care to make any other comment."

"I should not care to make a nuisance of myself."

Not without making explanations he didn't care to make, at any rate.

"Would you care to make a guess as to what the illness might be?"

Or perhaps he knew but didn't care enough to make the effort.