Remainder

Algebra Level 4

The remainder when $$x^{1959} - 1$$ is divided by $$(x^2 + 1)(x^2 + x + 1)$$ is of the form $$ax^3 + bx^2 + cx + d$$.

FInd $$a + b + c + d$$.

This is part of the set My Problems and THRILLER

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