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List all integers between −100 and 100 that are congruent to −1 modulo 25.

1 Answer

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"-1 modulo 25" is "1 less than a precise multiple of 25".
So what are the exact or precise multiples of 25 in the appropriate interval?
It is -75, -50, -25, 0, 25, 50, 75, and 100.
Now just subtract 1 from each of them.

So the answers are -76, -51, -26, -1, 24, 49, 74, and 99.

User Alexander Bogushov
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