$\sin\left(x\right)=\left(4\cos^2\left(x\right)-1\right)$
$\left(x-8y\right)\left(x-4y\right)$
$3x^2y+\:6x^2y^2-3xy$
$\int x^3e^{-5}dx$
$\:\left(-1\right)+\left(46\right)$
$5ab^4+60a^2b^4$
$\left(c^4d^2\right)^5\left(3cd^5\right)^4$
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