Sentence:  But slowly they take over as Alain Delon ( Life , Sept. 15 ) , playing a sometimes appealing but always criminal boy , casually tells a rich and foot-loose American that he is going to murder him , then does it even while the American is trying to <WSD>puzzle</WSD> out how Delon expects to profit from the act . 
Meaning of the word marked with <WSD> tags:  find the solution to (a problem or question) or understand the meaning of