Here's what rhymes with mapset.
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said head fed shed fetch hedge shewed lead led read red bed dead step ahead bread fled sketch thread web bred dread pledge tread wedge bled ledge med sped stead wed wretch prep rep sled sledge steppe ted spread stretch allege instead overhead misled watershed assayed widespread infrared cent felt sent sect scent theft vent fetched vest zest best effect left went direct kept percent rest test accept event meant perfect spent west affect breast chest helped possessed arrest belt bent blessed checked dealt descent dressed guest lest pressed rent slept stepped swept assent assessed lent melt nest tent ascent dissent dwelt guessed jest knelt leaped sensed sketched wept wrecked dreamt leapt obsessed pest vexed behest bereft blest decked deft dent divest fenced necked pent smelt spelt weft next except correct prevent text addressed select detect manifest stressed stretched accent cement crest elect erect invest oppressed professed quest cleft crept invent abreast adept attest digest drenched ferment flexed resent tempt against subject extent respect attempt expect suggest consent protect reflect collect depressed impressed indirect intent neglect reject suspect confessed connect dialect exempt northwest suppressed distressed inspect lament repent repressed southwest underwent unrest augment bequest clenched dispensed intercept intersect outstretched quenched refreshed expressed represent president request commenced intellect architect compressed incorrect entrenched progressed perplexed contempt discontent condensed recollect retrospect