work out vs calculate

work out and calculate both are verbs.

Word	Noun	Adjective	Verb	Adverb
work out	No	No	Yes	No
calculate	No	No	Yes	No

As verbs, work out and calculate are synonyms defined as:

Other synonyms of work out include cipher, compute, cypher, figure, reckon.

work out (verb)	calculate (verb)
do physical exercise	make a mathematical calculation or computation
give a workout to	specifically design a product, event, or activity for a certain public
come up with	judge to be probable
work out in detail	have faith or confidence in
find the solution to (a problem or question) or understand the meaning of	predict in advance
make a mathematical calculation or computation	keep an account of
be calculated
happen in a certain way, leading to, producing, or resulting in a certain outcome, often well