puzzle
/ˈpə-zəl/
verb
to offer or represent to (someone) a problem difficult to solve or a situation difficult to resolve : challenge mentally; also : to exert (oneself, one's mind, etc.) over such a problem or situation
complicate, entangle
to solve with difficulty or ingenuity
noun
the state of being puzzled : perplexity
something that is difficult to solve, resolve, or understand : something that puzzles
something (such as a game or test) that is designed to be challenging to answer or solve <dx>see also jigsaw puzzle</dx>
phrasal verb
to understand or find (something, such as the answer to a difficult problem) by careful thinking
She puzzled out the meaning of the strange phrase.