Question: (1) How many integers modulo 5^3 have inverses? (2) If a has an inverse modulo b, does b have an inverse modulo a? ------------- algorithm

(1) How many integers modulo 5^3 have inverses?

(2) If a has an inverse modulo b, does b have an inverse modulo a?

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algorithm questions. Answer both with detailed steps to get upvote. Thank you.

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