WordNet (r) 3.0 (2006):

figure out
    v 1: 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"
         [syn: solve, work out, figure out, puzzle out,
         lick, work]

Moby Thesaurus II by Grady Ward, 1.0:

65 Moby Thesaurus words for "figure out":
   add, algebraize, answer, bottom, calculate, cast, cipher, clear up,
   compute, crack, debug, decipher, decode, disentangle, divide,
   divine, do, dope, dope out, estimate, explain, extract roots,
   fathom, figure, figure in, find out, find the answer,
   find the solution, get, get right, guess, guess right, have it,
   hit it, interpret, make out, measure, multiply, open the lock,
   plumb, psych, psych out, puzzle out, ravel, ravel out, reckon,
   resolve, riddle, score, solve, sort out, subtract, take account of,
   tally, undo, unfold, unlock, unravel, unriddle, unscramble,
   untangle, untwist, unweave, work, work out