Synonyms for solve

figure out, work out, reason out, think out, find out, make out, puzzle out, decipher, unravel, elucidate, interpret, explain, resolve, answer, decode, get to the bottom of, fathom, get right, hit upon a solution, work, do, settle up, clear up, untangle, unlock, determine, divine, dope out*, hit the nail on the head*, hit it*, make a dent in a problem*, put two and two together*, have it*.