Inveterate rhymes with:
directorate, doctorate, electorate, illiterate, inspectorate, literate, protectorate, accurate, barbiturate, commensurate, confederate, conglomerate, considerate, corporate, degenerate, deliberate, directorate, doctorate, electorate, emirate, everett, illiterate, inaccurate, inspectorate, intemperate, interoperate, literate, moderate, obdurate, protectorate, reverberate, triumvirate