$sin\:8x\:cos\:8x$
$\left(12x-7\right)\cdot\:\left(144x^2+84x+49\right)$
$11 x ^ { 4 } - 11 x ^ { 5 }$
$\frac{4x^0y^{-2}}{x^{-4}y^0}$
$\frac{d}{dx}\frac{x^2+3y}{x-2}=y^2$
$\left(-12+24-6+\left(-10\right)x\left(-1\right)\right)$
$xy'-x\:=x^2e^x$
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