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figure out is a verb meaning "find the solution to (a problem or question) or understand the meaning of". It carries one recorded sense.
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”
Definitions, synonyms and semantic relations for figure out come from Princeton University’s WordNet. Commonness is measured against a corpus of everyday English. Full sources and licences.