Here's what rhymes with demapped.
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matched detached snatched hatched thatched patched attached despatched dispatched grabbed scratched stabbed mast mat enact mashed massed that fact last passed past fast impact sat cast fat vast cat hat laughed packed rat shaft backed caste dashed hast intact lacked bat chat elapsed pact shalt tact camped cant chant encamped gasped lashed masked pat raft smashed amassed damped hacked lapsed racked sacked smacked tacked tat vat plant attacked exact flat grant craft draft enhanced tract blast graft grasped interact react classed cracked danced draught financed flashed ranked stamped taxed thanked chanced clamped clasped cramped crashed harassed implant scant slant spat stacked staffed tracked waxed aghast banked canst clashed detract slashed stat yanked attract collapsed glanced relaxed surpassed branched diplomat distract flanked recast relapsed repast splashed transact advanced abstract extract counteract habitat artifact subtract caveat democrat enthusiast overcast retract supplant unsurpassed transplant photographed mimeographed telegraphed thermostat aristocrat handicraft