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prob·lem
/'präbləm/
noun
noun: problem; plural noun: problems
1.
a matter or situation regarded as unwelcome or harmful and needing to be dealt with and overcome.
"mental health problems"
synonyms: difficulty, trouble, worry, complication, difficult situation; snag, hitch, drawback, stumbling block, obstacle, hurdle, hiccup, setback, catch; predicament, plight; misfortune, mishap, misadventure; dilemma, quandary; (informal) headache, nightmare
"they ran into a problem"
nuisance, bother, pest, irritant, thorn in one's side/flesh, vexation;
(informal) drag, pain, pain in the neck
"I don't want to be a problem"
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.
(in various games, esp. chess) an arrangement of pieces in which the solver has to achieve a specified result.