Here's what rhymes with assertable.
double bubble publ addable trouble rubble stubble dirigible attachable playable friable redouble vocable unplayable acquirable flyable beatable tamable damnable uncharitable filtrable unnameable ignitable vincible dividable unloveable conformable imperturbable translatable unbridgeable nonviable containable unlikable indissoluble exploitable unarguable compoundable imperishable untranslatable transmutable indemonstrable Words that almost rhyme with assertable
puddle tuple couple subtle shuttle muddle suppl supple huddle cuddle cudgel rappel fuddle rebuttal scuttle decouple uncouple befuddle oversubtle thermocouple tunnel puzzle bustle tumble buckle chuckle jumble tional juggle tussle bumble pummel duckbill tamale tousle tubful muscle humble bundle jungle funnel muzzle shovel ductile rumble rustle shuffle stumble ductal hovel hustle knuckle muffle mussel ruffle subtile fumble mumble pustule suckle caecal runnel truffle bungle guzzle nuzzle truckle gunnel unbuckle gumball jugful tumbrel struggle fungal autumnal crumble grumble scuffle smuggle phrasal snaffle snuggle trundle lungful rumple snuffle mugful kerfuffle pinocle frontal triumphal colourful crustal nuptial bestowal lustful peduncle suboptimal trustful crumple reshuffle nonvocal cupsful subcortical conformal honeysuckle carbuncle prenuptial duodecimal heptagonal prefrontal antifungal granduncle disgruntle distrustful mistrustful