WordNet sense 1 (do over):

repeat

WordNet sense 2 (free someone temporarily from his or her obligations):

relieve

WordNet sense 3 (take on titles, offices, duties, responsibilities):

adopt, assume, take on

WordNet sense 4 (take up and practice as one's own):

borrow, take up

WordNet sense 5 (take on as one's own the expenses or debts of another person):

accept, bear

WordNet sense 6 (seize and take control without authority and possibly with force; take as one's right or possession):

arrogate, seize, usurp

WordNet sense 7 (take over ownership of; of corporations and companies):

buy out, buy up

WordNet sense 8 (take up, as of debts or payments):

absorb