put on one's thinking cap

analyze appraise appreciate brood cerebrate cogitate comprehend conceive consider deduce deliberate estimate evaluate examine ideate imagine infer judge meditate mull muse ponder rationalize reason reflect resolve revolve ruminate speculate stew study weigh

figure out have in mind intellectualize logicalize mull over rack one's brains sort out stop to consider take under consideration turn over use one's head

dismiss disregard forget ignore misunderstand neglect