From The Collaborative International Dictionary of English v.0.48 :
Cerebrate \Cer"e*brate\, v. i. (Physiol.)
To exhibit mental activity; to have the brain in action.
[1913 Webster]
From WordNet (r) 3.0 (2006) :
cerebrate
v 1: 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, cerebrate]