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Suppose that x is an integer that satisfies the following congruences

3 + x = 2^2 (mod 3^3)

5 + x = 3^2 (mod 5^3)

7 + x = 4^2 (mod 7^3)

What is the remainder when x is divided by 105?

 Oct 15, 2022
 #1
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The remainder is 61.

 Oct 15, 2022

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