$\log_{18}\left(x-5\right)+\log_{18}\left(x+2\right)=1$

$\int\left(2x\left(x^2+2\right)^7\right)dx$

$\frac{dy}{dx}=\frac{2y}{3x^2}$

$\left(y^2-y+1\right)\left(y^2-y-1\right)$

$\frac{2y^2+3y-2}{y-2}$

$\frac{d}{dx}3x^6-x^4+6$

$\lim_{x\to0}\left(\left(-3x^{3}-7x+8\right)\right)$