To think or use the brain; to engage in mental activity or cerebration.
From cerebrum plus -ate (verb-forming suffix). A relatively modern construction in English, formed in the 20th century to describe the act of thinking.
Cerebrate is a rare and somewhat playful verb—when scientists say 'I need to cerebrate on this problem,' they're jokingly referring to their brain as an active instrument of thought.
Complete word intelligence in one call. Free tier — 50 lookups/day.