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