Here's what rhymes with programmess.
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mesh neath death says deaf rev chef ref fresh breath flesh afresh refresh cortege necks nets sense sex gets hence sets deaths debts dense immense offence thence whence checks fence offense tense commence lets nests decks jets melts pence pets bets laments wrecks chefs hex refs reps vex steps tests intense affects cents depths guests helps rests rents scarce threats arrests belts connects convex incense sects tents bayonets breaths chests desks forgets pests temps tenths attests cadets condense flex scents specks steppes upsets vents adepts cassettes dents ferments jests pelts rosettes sweats thefts vests effects events attempts defence defense texts accepts breasts lengths directs protects rejects suspense collects epithets pretense recompense regrets selects clefts commonsense consents corrects crests elects intents invests alphabets begets codex digests infects invents minarets parapets perplex quests resents silhouettes tempts transepts vignettes suggests expense represents reflects respects prevents requests architects cigarettes dialects dispense manifests suspects neglects detects bottlenecks commonwealths descents quadriceps quartets statuettes tempests strengths expects presidents bequests intellects intersects sixpence circumflex discontents extents intercepts malcontents penitents multiplex