Here's what rhymes with aequiesced.
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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 fenced necked pent vet against effect direct correct event spent affect helped threat collect commenced slept stepped swept assent connect elect erect sweat ascent crept dwelt sketched adept cassette dreamt flexed reset tempt cadet duet fret inept orient smelt spelt wrenched except extent percent accept attempt expect perfect consent forget select descent detect intent reject stretched accent cement offset upset beset condensed dissent invent lament repent augment clenched drenched ferment quenched resent beget infect inject pipette preset quartet redirect unchecked subject respect prevent protect reflect contempt indirect neglect regret suspect architect cigarette dialect exempt incorrect inspect recollect bayonet dispensed epithet perplexed deflect shipwrecked intellect alphabet entrenched underwent intercept intersect outstretched parapet circumvent clarinet disconnect silhouette transept represent president discontent circumspect retrospect disrespect