come up with; "His colleagues worked out his interesting idea"; "We worked up an ad for our client"
be calculated; "The fees work out to less than $1,000"
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"
establish the validity of something, as by an example, explanation or experiment; "The experiment demonstrated the instability of the compound"; "The mathematician showed the validity of the conjecture"
prove formally; demonstrate by a mathematical, formal proof
obtain probate of; "prove a will"
take a trial impression of
be shown or be found to be; "She proved to be right"; "The medicine turned out to save her life"; "She turned up HIV positive"