mystifier vs puzzle

mystifier and puzzle both are nouns.

Word	Noun	Adjective	Verb	Adverb
mystifier	Yes	No	No	No
puzzle	Yes	No	Yes	No

As nouns, mystifier and puzzle are synonyms defined as:

mystifier and puzzle: a particularly baffling problem that is said to have a correct solution

Other synonyms of mystifier include puzzler, teaser.

mystifier (noun)	puzzle (noun)
a particularly baffling problem that is said to have a correct solution	a game that tests your ingenuity
	a particularly baffling problem that is said to have a correct solution

mystifier (verb)	puzzle (verb)
	be a mystery or bewildering to
	be uncertain about; think about without fully understanding or being able to decide