WordNet sense 1 (a politician who belongs to a small clique that controls a political party for private rather than public ends):

ward-heeler, machine politician, political hack

WordNet sense 2 (a mediocre and disdained writer):

hack writer, literary hack

WordNet sense 3 (one who works hard at boring tasks):

drudge, hacker

WordNet sense 4 (a car driven by a person whose job is to take passengers where they want to go in exchange for money):

cab, taxi, taxicab

WordNet sense 5 (be able to manage or manage successfully):

cut

WordNet sense 6 (an old or over-worked horse):

jade, nag, plug

WordNet sense 7 (cut with a hacking tool):

chop

WordNet sense 8 (fix a computer program piecemeal until it works):

hack on

WordNet sense 9 (significantly cut up a manuscript):

cut up

WordNet sense 10 (cough spasmodically):

whoop