excogitate

Verb
  1. Come up with (an idea, plan, explanation, theory, or principle) after a mental effort (synset 201635953)
    "excogitate a way to measure the speed of light"
  2. Reflect deeply on a subject (synset 200632042)
    "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"

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