There is a polynomial P(x) with integer coefficients such that
P(x)=\frac{\left(x^{2310}-1\right)^{6}}{\left(x^{105}-1\right)\left(x^{70}-1\right)\left(x^{42}-1\right)\left(x^{30}-1\right)}
holds for every 0<x<1. Find the coefficient of x^{2022} in P(x).