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

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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.