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Synonyms
prob·lem (prŏb́ləm)

[Middle English probleme, from Old French, from Latin problēma, problēmat-, from Greek, from proballein, to throw before, put forward, pro-, before; see pro–2, + ballein, blē-, to throw.]

noun 

  1. A question to be considered, solved, or answered: math problems; the problem of how to arrange transportation.
  2. 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
  3. A misgiving, objection, or complaint: I have a problem with his cynicism.

adjective 

  1. Difficult to deal with or control: a problem child.
  2. Dealing with a moral or social problem: a problem play.

idioms

no problem
Used to express confirmation of or compliance with a request.