$\left(5x+3y\ge\:110\right)\:\:\left(3x+5y\ge\:150\right)\:$

$f\left(x\right)=\left(8-3x-x^2\right)^5\left(x^6-10x^4\right)$

$\left(\frac{3}{5}xy^3-\frac{1}{4}z\right)\left(\frac{3}{5}xy^3+\frac{1}{4}z\right)$

$\frac{2x^3}{x^2+4}$

$\lim_{x\to1}\left(\frac{\left(\sqrt{x}-x^2\right)}{1-\sqrt{x}}\right)$

$lny=ln\left[\frac{x\sqrt{x-7}}{\left(3x-8\right)^4}\right]$

$6y-12$