A word appearing as Q. kuita “live” in Late Notes on Verb Structure (LVS) from 1969, most notably in the phrase kuita’r pare “live and learn”, derived from the root √KUY “live” (PE22/154, 156).
Neo-Quenya: For purposes of Neo-Eldarin, I prefer to use √KUY for “wake” (NM/274) and √KOY for “live”; see those roots for discussion. As such, I would use Q. coita- for “to live” and would assume ᴺQ. cuita- means to “to waken, rouse”, as did its primitive form from the 1950s: ✶kuitā- (PE22/136). I further assume cuita- “to waken, rouse” is a transative/causative verb (taking a direct object) based on the long ā in this primitive form, with a past tense cuitane “woke, roused”.
A verb for “to live” appearing only in the imperative form cuio in the phrase cuio i Pheriain anann “long live the Halflings” or “may the Halflings live long” (LotR/953; Let/448; PE17/102). It already had this form when it appeared in Lord of the Rings drafts from the 1940s (SD/46).