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Omni-MATH / Let N=30²⁰¹⁵. Find the number of ordered 4-tuples of integers (A,B,C,D)∈1,2,…,N⁴ (not necessarily distinct) such that for every integer n,An³+Bn²+2Cn+D is divisible by N. · Discussion

Discussing Let N=30²⁰¹⁵. Find the number of ordered 4-tuples of integers (A,B,C,D)∈{1,2,…,N}⁴ (not necessarily distinct) such that for every integer n,An³+Bn²+2Cn+D is divisible by N. · Omni-MATH

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