Here's what rhymes with puaei.
by my high why die lie thy y buy guy tie vi hi shy sigh bi bye chi dye fi hy nigh pi pie thai thigh vie dei ly psi quae rye ty wir awry hai lye mai muy nai wry cy fy kai lai luy mei sy tai thei wai phi dry try cry fly sky deny defy spy fry ply sly pry tri trie belie pri pupae sty stye turfy slier apply rely decry untie edify aquae bonsai deify spry amebae stupefy lanai banzais supply reply thereby imply nearby whereby hereby modify nuclei certify goodbye notify underlie alibi pacify ratify unify beautify termini terrify typify amoebae codify descry overlie ossify retry triply blowfly scurfy barfly shanghai drachmai ripply overbuy yuppify justify occupy satisfy comply specify alkali testify verify butterfly gratify purify amplify fortify nullify rectify samurai standby lullaby crucify dignify mollify mortify ramify vilify acidify firefly mystify ultrahigh vivify horrify petrify reunify overfly versify mummify prettify vitrify beatify speechify dandify identify stimuli clarify multiply qualify classify signify simplify glorify quantify alveoli diversify magnify falsify solidify liquefy personify resupply stratify stultify calcify misapply cumuli liquify scarify hyperbolae gentrify refortify syllabify intensify indemnify objectify oversupply demystify detoxify dragonfly electrify preoccupy emulsify revivify dissatisfy declassify exemplify disqualify reclassify solemnify oversimplify misidentify transmogrify