$\left(2y\right)^3$

$\frac{x-1}{x\left(x^2+1\right)}$

$\lim_{x\to-1}\left(\frac{x^3-7x^2+4x+12}{x+1}\right)$

$3x+6+9y+4x$

$\int\left(x\cdot\left(x^2+5\right)^4\right)dx$

$\left(2x+3\right)\frac{dy}{dx}=y\sqrt{2x+3}$

$\lim_{x\to0}\left(\frac{\sqrt{81-x^2}-9}{x}\right)$