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2004 AIME I Question 7

AIME · 2004 AIME I

Question 7

Let $C$ be the coefficient of $x^2$ in the expansion of the product $$
\begin{aligned} &(1 - x)(1 + 2x)(1 - 3x) \cdots \\ &\quad {}\cdot (1 + 14x)(1 - 15x). \end{aligned}
$$ Find $|C|.$