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Synonyms
ex·cog·i·tate (ĭk-skŏj́ĭ-tāt́)

[Latin excōgitāre, excōgitāt-, to find out by thinking, ex-, ex-, + cōgitāre, to think; see cogitate.]

transitive verb: -tat·ed, -tat·ing, -tates. 

To consider or think (something) out carefully and thoroughly.

derivatives

ex·coǵi·tátion
noun
ex·coǵi·tátive
adjective