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Meaning:
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a question to be solved or decided, especially something difficult

difficulty; bad situation

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Cases of word usage

1) (of a person) easy to discuss a problem with, ask for help etc (approachable)

2) a fact, idea etc. that suggests a possible answer to a problem (clue)

3) to make (pain, disease, a problem etc) worse (exacerbate)

4) to hold and struggle with; to try to deal with (a problem etc) (grapple)

5) a question or problem that is difficult to understand or answer; a game, toy etc designed to test a person's knowledge, skill or patience; to cause (a person) to become confused, worried (about the solution to a problem) (puzzle)

6) a formal expression of opinion by an official meeting; something one makes up one's mind to do; the ending (of a doubt, problem etc) by supplying an answer (resolution)

7) something produced because of an activity or cause; effect; an answer (to a mathematical problem etc); to happen (because of something) (result)

8) to go round in a circle; to think about all sides of (a problem etc) (revolve)

9) a group studying a problem and meeting for discussion with a tutor or professor (seminar)

10) to find the answer to (a problem etc); explain (a difficulty) (solve)

PROBLEM as in Wiktionary
PROBLEM as in Wikipedia