Question 16
There is a polynomial $P(x)$ with integer coefficients such that
$$
P(x) = \frac{(x^{2310} - 1)^6}{(x^{105} - 1)(x^{70} - 1)(x^{42} - 1)(x^{30} - 1)}
$$
holds for every $0 \lt x \lt 1$. Find the coefficient of $x^{2022}$ in $P(x)$.
$$
P(x) = \frac{(x^{2310} - 1)^6}{(x^{105} - 1)(x^{70} - 1)(x^{42} - 1)(x^{30} - 1)}
$$
holds for every $0 \lt x \lt 1$. Find the coefficient of $x^{2022}$ in $P(x)$.