Collocations with cooperate

cooperate verb

ADVERBS 

closely
・The two governments are cooperating closely with each other in the fight against terrorism.

fully
・We will, of course, cooperate fully with the inquiry.

PREPOSITIONS

with
・The US troops will continue to cooperate with local forces.

PHRASES

be willing/ready/prepared to cooperate
・He says he is willing to cooperate with the police and help them find the killer.

agree to cooperate
・The countries all agreed to cooperate in protecting the environment.

refuse/fail to cooperate
・People who refuse to cooperate could face prosecution.