excogitated

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excogitate
To come to a conclusion through reason or careful thought

After many years of study, he excogitated a solution.

excogitate
To think over something carefully; to consider fully; cogitate
excogitate
{v} to invent, strike out, hit off
excogitate
To cogitate
excogitate
{f} discover, invent
excogitate
reflect deeply on a subject; "I mulled over the events of the afternoon"; "philosophers have speculated on the question of God for thousands of years"; "The scientist must stop to observe and start to excogitate"
excogitate
To think out; to find out or discover by thinking; to devise; to contrive
excogitate
come up with (an idea, plan, explanation, theory, or priciple) after a mental effort; "excogitate a way to measure the speed of light"
excogitated