Difficult to deal with or control: a problem child. A question to be considered, solved, or answered: math problems; the problem of how to arrange transportation. A situation, matter, or person that presents perplexity or difficulty: was having problems breathing; considered the main problem to be his boss. See Usage Note at dilemma. A misgiving, objection, or complaint: I have a problem with his cynicism. Dealing with a moral or social problem: a problem play. no problem Used to express confirmation of or compliance with a request.