S: (n) problem (a question raised for consideration or solution) "our homework consisted of ten problems to solve"
S: (n) puzzle, puzzler, mystifier, teaser (a particularly baffling problem that is said to have a correct solution) "he loved to solve chessmate puzzles"; "that's a real puzzler"
S: (n) case (a problem requiring investigation) "Perry Mason solved the case of the missing heir"