Problem
Common misspellings for problem:
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Definition of problem:
 The difference between a desired state and the existing state, or something that differs from the normal.
 a source of difficulty; " one trouble after another delayed the job"; " what's the problem?"
 a question raised for consideration or solution; " our homework consisted of ten problems to solve"
 A question proposed for solution; a matter stated for examination or proof; hence, a matter difficult of solution or settlement; a doubtful case; a question involving doubt.
 Anything which is required to be done; as, in geometry, to bisect a line, to draw a perpendicular; or, in algebra, to find an unknown quantity.
 A difficult matter to be settled; in mathematics, something to be worked out.
 A matter difficult of settlement or solution: ( geom.) a proposition in which something is required to be done.
 A question to be solved.
 A perplexing question.
 A question proposed for solution; any question involving doubt or uncertainty; a proposition requiring something to be done.
 A question involving doubt or uncertainty proposed for solution; in geom., a proposition in which some operation or construction is required; in alg., a proposition which requires some unknown truth to be discovered or demonstrated; in logic, a proposition which, appearing neither absolutely true nor false, may consequently be asserted either in the affirmative or negative.
 Problematically.
Usage examples for problem

First of all, as has been said, Shaw has neither the kind of justice nor the kind of weakness that goes to make a true problem. George Bernard Shaw by Gilbert K. Chesterton

I went home and thought over the problem. The Spy in Black by J. Storer Clouston

Let me give you some idea of the problem. The Moghul by Thomas Hoover