FluentPlex

work out

/ˌwɝk ˈaʊt/ verb
  1. To calculate. (transitive) · Can you work out 250 × 12 in your head for me?· Can you work out how to get to the university by car?
  2. To make sense of. (transitive) · I can't work these instructions out.
  3. To decide. (transitive) · I can't work out if I like him or not.
  4. To bring about or cause to happen by work or effort. (transitive) · Near-synonyms: hash out, hammer out· I think we can work out a compromise.
  5. To resolve; to find a solution for. (transitive) · Near-synonyms: straighten out, sort out· They managed to work out their differences.
  6. To develop or devise in detail; to elaborate. (transitive) · Near-synonyms: plan out, lay out· to work out a plan
  7. To smooth or perfect. (transitive) · Near-synonyms: iron out, smooth out· This is a beta version; we're still working out the kinks.
  8. To conclude with the correct solution. (intransitive) · Near-synonym: add up· These figures just don't work out.
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From the library

When I went into this case with you I bargained, as you will no doubt remember, that I should not present you with half-proved theories, but that I should retain and work out my own ideas until I had satisfied myself that they were correct.
The Valley of Fear, p. 79 · C1
“To determine its exact meaning I have been obliged to work out the present prices of the investments with which it is concerned.
The Adventures of Sherlock Holmes, p. 52 · B2
But them as never have think it’s all as plain and easy as Rule of Three--just set your three terms down so fashion, and the sum ‘ll work out correct.
Anne of Green Gables, p. 193 · C1
He therefore murdered Adair, who at the time was endeavouring to work out how much money he should himself return, since he could not profit by his partner’s foul play.
The Return of Sherlock Holmes, p. 32 · C1

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Words, meanings, pronunciations and translations from Wiktionary (CC BY-SA 4.0); how common each word is from wordfreq. Made into this dictionary by FluentPlex.