$7^{12}-y^9$

$\int_0^4\left(4\left(1-x^2\right)-\left(1-x^2\right)\right)dx$

$\sqrt[3]{32x^4}y^2$

$\left(y^3\:-x\right)^2$

$\frac{dy}{dx}-2x^2=-x$

$\left(\frac{2}{3x}+4\right)\left(\frac{2}{3x}-8\right)$

$\frac{x^2-2x-3}{\left(x+2\right)}+\frac{\left(3x-5\right)}{x+2}+\frac{6}{x+2}$