puzzle

Noun
  1. A particularly baffling problem that is said to have a correct solution (synset 106797496)
    "he loved to solve chessmate puzzles"; "that's a real puzzler"
  2. A game that tests your ingenuity (synset 104034791)
Verb
  1. Be a mystery or bewildering to (synset 200624056)
    "This beats me!"; "Got me--I don't know the answer!"; "a vexing problem"; "This question really stuck me"
  2. Be uncertain about;
    Think about without fully understanding or being able to decide (synset 201835250)
    "We puzzled over her sudden departure"

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