cerebrate
1. [ verb ] use or exercise the mind or one's power of reason in order to make inferences, decisions, or arrive at a solution or judgments
Synonyms: think cogitate
Examples:

"I've been thinking all day and getting nowhere"

Related terms: reason plan relate associate think_about chew_over give judge concentrate study puzzle_over philosophize reason think think rationalize brainstorm think chew_over think_up think_out thinking mind cogitation thinker
Similar spelling:   cerebration
  cerebral
  cerebrally
  cerebrum