$$27P^{3}-\frac{1}{216}-\frac{9}{2}p^{2}+\frac{1}{4}P$$
$\frac{-972p^{2}+5832P^{3}+54P-1}{216}$
$$\frac{5832P^{3}-1-972p^{2}+54P}{216}$$
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$27P^{3}-\frac{9p^{2}}{2}+\frac{P}{4}-\frac{1}{216}$
