excogitate

verb2

1. •
   To think over something carefully; to consider fully; cogitate.

   • The first organs which Gall excogitated, he placed in the region of the sinus; and it is manifest he was then in happy unacquaintance with everything connected with that obnoxious cavity. — 1857
2. •
   To reach as a conclusion through reason or careful thought.

   • After many years of study, he excogitated a solution.