Here's what rhymes with busyest.
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left theft deft weft cleft bereft refreshed enmeshed get next set went yet cent felt kept let met sent meant spent text debt net threat belt bent checked dealt rent slept stepped swept wet bet jet lent melt sect sweat tent knelt leaped pet scent sensed sketched vent wept wrecked dispensed fetched flexed leapt vexed decked deflect dent fenced fret necked pent smelt spelt vet against effect direct except extent respect correct event expect affect forget helped select descent detect intent stretched assent cement elect erect offset ascent beset crept dissent dwelt inspect invent adept dreamt ferment reset tempt beget duet inept infect inject orient wrenched subject percent accept attempt perfect prevent president protect reflect collect commenced indirect reject suspect accent cigarette connect dialect exempt incorrect upset lament repent augment bayonet cassette clenched drenched epithet parapet perplexed quenched resent cadet disconnect pipette preset redirect shipwrecked unchecked consent intellect neglect regret discontent alphabet condensed recollect intercept intersect outstretched disrespect silhouette transept represent contempt architect entrenched retrospect underwent circumvent clarinet quartet circumspect