$f\left(x\right)=5\left(x^2-4x+\right)+15$
$\frac{2x^3+x^2+3}{x-3}$
$12\le6-2x$
$\frac{x^2+1}{y^2+1}=1$
$\frac{3}{x-2}=\frac{1}{x-1}+\frac{7}{\left(x-1\right)\left(x-2\right)}$
$\int x\cdot\log\left(\frac{1}{x}\right)dx$
$\frac{6z}{z-6}+\frac{3}{z-1}=1$
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