$x^2-20x=1$

$\int\frac{w^3-9w}{w^2+3w}dw$

$y=-\frac{1}{\:3}x^2+\frac{3}{4}x+5$

$\sqrt[3]{\frac{a^{27}}{27}}$

$x^2\cdot\left(x+y\right)^2$

$\frac{2x+2}{\left(x^2+1\right)^2\left(x-1\right)^3}$

$\left(\sec\left(v\right)+\tan\left(v\right)\right)^2=\frac{1+\sin\left(v\right)}{1-\sin\left(v\right)}$