Quintuplets to 1

How many quintuplets are there such that a + b 2 + c 3 + d 4 + e 5 a + b^2 + c^3 + d^4 + e^5 sums to 1 where a , b , c , d a, b, c, d and e e must be either -1, 0, or 1?


The answer is 58.

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