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