Friday, June 9, 2017

modular arithmetic - Negative Modulo confusion

$$ x \equiv -74 \ mod \ 31 $$




According to Google & Wolframalpha the answer is 19



Following the method in this answer and using this answer I get 12. Using my calculator with this answer yeilds 12 also.



What answer is right? If the web is correct, how do they come about that answer?

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