n.  1.  
1.  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.  
2.  (Math.) 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.

Noun  1.  problem  a state of difficulty that needs to be resolved; "she and her husband are having problems"; "it is always a job to contact him"; "urban problems such as traffic congestion and smog" Synonyms: job 
2.  problem  a source of difficulty; "one trouble after another delayed the job"; "what's the problem?" Synonyms: trouble  
3.  problem  a question raised for consideration or solution; "our homework consisted of ten problems to solve" 