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Polynomial Coefficient Finding

Let $ P_0(x) = x^3 + 313x^2 - 77x - 8\, $. For integers $ n \ge 1\, $, define $ P_n(x) = P_{n - 1}(x - n)\, $. What is the coefficient of $ x\, $ in $ P_{20}(x)\, $?

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3
+
4
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$\frac{a}{b}$
.
0
=
%

$a^n$
$a^{\circ}$
$a_n$
$\sqrt{}$
$\sqrt[n]{}$
$\pi$
$\ln{}$
$\log$
$\theta$
$\sin{}$
$\cos{}$
$\tan{}$

$($
$)$
$[$
$]$
$\cap$
$\cup$
$,$
$\infty$