Part is related to Nose. Nose is related to Power. Power is the opposite of Weakness. 
Run is a synonym of Conduct. Conduct is a synonym of Deal. Deal is related to Negotiation. Negotiation is derived from Negotiate. 
Part <--RelatedTo--> Nose <--RelatedTo--> Power <--Antonym--> Weakness 
Run <--Synonym--> Conduct <--Synonym--> Deal <--RelatedTo--> Negotiation --DerivedFrom--> Negotiate 