figure out,
puzzle out,
solve,
lick,
work out,
work find the solution to (a problem or question) or understand the meaning of; "did you solve the problem?"; "Work out your problems with the boss"; "this unpleasant situation isn't going to work itself out"; "did you get it?"; "Did you get my meaning?"; "He could not work the math problem"
riddle -
pierce with many holes; "The bullets riddled his body"
pierce make a hole into; "The needle pierced her flesh"
riddle -
spread or diffuse through; "An atmosphere of distrust has permeated this administration"; "music penetrated the entire building"; "His campaign was riddled with accusations and personal attacks"
riddle -
A sieve with coarse meshes, usually of wire, for separating coarser materials from finer, as chaff from grain, cinders from ashes, or gravel from sand.
A riddle is a statement or question or phrase having a double or veiled meaning, put forth as a puzzle to be solved. Riddles are of two types: enigmas, which are problems generally expressed in metaphorical or allegorical language that require ingenuity and careful thinking for their solution, and conundrums, which are questions relying for their effects on punning in either the question or the answer.
OmegaWiki Dictionary
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riddle Any problem where the answer is very complex, possibly unsolvable without deep investigation.
riddle A sieve with large holes or a coarse mesh used to separate large particles from small particles.