brush up (on), revise, come (a)round (to), change your mind, come up with, devise, face up to, confront, figure out, solve, hit upon, discover, make out, understand, mull over, consider, piece together, reconstruct, puzzle out, decipher, read up (on/about), research, swot up (on), study, take in, absorb, think over, wonder, think through, analyse, think up, invent, go to your head, become conceited, have your wits about you, be alert, in the dark (about), be unaware, know what's what, understand the situation, not have a leg to stand on, have no basis, not see the wood for the trees, miss the bigger picture, put two and two together, infer, quick/slow on the uptake, learn quickly/slowly, ring a bell, sound familiar, round the bend, be crazy, split hairs, quibble, take stock (of), evaluate, concentrate on, focus on, reflect on, think about

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