The Collaborative International Dictionary of English v.0.48:

Solve \Solve\ (s[o^]lv), v. t. [imp. & p. p. Solved
   (s[o^]lvd); p. pr. & vb. n. Solving.] [L. solvere, solutum;
   from a prefix so- expressing separation (cf. Sober) + luere
   to loosen; cf. OF. soldre, soudre. See Loose, and cf.
   Absolve.]
   To explain; to resolve; to unfold; to clear up (what is
   obscure or difficult to be understood); to work out to a
   result or conclusion; as, to solve a doubt; to solve
   difficulties; to solve a problem.
   [1913 Webster]

         True piety would effectually solve such scruples.
                                                  --South.
   [1913 Webster]

         God shall solve the dark decrees of fate. --Tickell.
   [1913 Webster]

   Syn: To explain; resolve; unfold; clear up.
        [1913 Webster]

WordNet (r) 3.0 (2006):

solving
    n 1: finding a solution to a problem [syn: resolution,
         solving]

Moby Thesaurus II by Grady Ward, 1.0:

35 Moby Thesaurus words for "solving":
   accomplishment, answer, ascertainment, clearing up, cracking,
   decipherment, decoding, denouement, determination, disentanglement,
   end, end result, explanation, finding, finding-out, interpretation,
   issue, outcome, reason, resolution, resolving, result, riddling,
   solution, sorting out, unraveling, unriddling, unscrambling,
   unspinning, untangling, untwisting, unweaving, upshot, working,
   working-out