Source : Webster's Revised Unabridged Dictionary (1913)

Cerebrate \Cer"e*brate\, v. i. (Physiol.)
   To exhibit mental activity; to have the brain in action.

Source : WordNet®

cerebrate
     v : use or exercise the mind or one's power of reason in order
         to make inferences, decisions, or arrive at a solution or
         judgments; "I've been thinking all day and getting
         nowhere" [syn: {think}, {cogitate}]