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The definition of problem

4 Definitions of: problem

    1. noun, a) any thing, matter, person, etc, that is difficult to deal with, solve, or overcome b) (as modifier)
    2. noun, a puzzle, question, etc, set for solution
    3. noun, maths a statement requiring a solution usually by means of one or more operations or geometric constructions
    4. noun, designating a literary work that deals with difficult moral questions
    5. Show me some examples of this word: problem
    6. Show me the etymology of the word: problem

From Collins