$\frac{dy}{dx}\left(x^3-y^3=y+1\right)$

$8s^3t^3\:+\:64s^6t^6$

$\int\sqrt{64+49x^2}dx$

$3^{9z}=3^{7z+8}$

$\left(a^{2xy}+8\right)^3$

$\int\left(4\sin^2\left(x\right)\cos^3\left(x\right)\right)dx$

$-\cos\left(x\right)\cos\left(x\right)+\left(1-\sin\left(x\right)\right)\sin\left(x\right)$