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1a matter or situation regarded as unwelcome or harmful and needing to be dealt with and overcome:mental health problems [as modifier]:city planners consider it a problem district a thing that is difficult to achieve or accomplish:motivation of staff can also be a problem 2 Physics
& Mathematics an inquiry starting from given conditions to investigate or demonstrate a fact, result, or law.
Geometry a proposition in which something has to be constructed. Compare with theorem. (in various games, especially chess) an arrangement of pieces in which the solver has to achieve a specified result.