work out is a verb meaning "come up with". It carries 8 recorded senses.
happen in a certain way, leading to, producing, or resulting in a certain outcome, often well
“Things worked out in an interesting way”
“Not everything worked out in the end and we were disappointed”
work out in detail
“elaborate a plan”
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 work out come from Princeton University’s WordNet. Commonness is measured against a corpus of everyday English. Full sources and licences.