Here's what rhymes with underestimate.
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made maid laid page paid shape wage rage shade tape cage gauge rape weighed bade fade raid sage unpaid arrayed babe cape decayed gage jade pervade wade stage trade played afraid decade grade delayed engage stayed blade brigade conveyed persuade prayed blockade forbade grape invade obeyed parade surveyed dismayed evade spade sprayed swayed arcade braid frayed grenade homemade sh staid stockade strayed escape betrayed cascade degrade repaid scrape upgrade barricade dissuade lemonade outweighed overlaid promenade displayed portrayed crusade disobeyed masquerade renegade videotape retrograde based faced shaped taste waste faint paint haste saint waist baked chased paste chaste laced paced raced raped taint debased raked taped placed traced quaint spaced acquaint braced draped erased effaced encased graced staked complaint escaped embraced distaste scraped vouchsafed replaced constraint displaced restraint disgraced misplaced