excogitate
verb
[ ɪksˈkɒdʒɪteɪt ]
• think out, plan, or devise.
• "all the rubrics, forms, and functions remained to be excogitated"
Origin:
early 16th century: from Latin excogitat- ‘found by process of thought’, from the verb excogitare, from ex- ‘out’ + cogitare ‘think’.