$\frac{2186x^7+128y^7}{3x+2y}$

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

$\tan\left(x\right)+\frac{1}{\tan\left(x\right)}=\frac{\sin\left(x\right)\tan\left(x\right)+\tan\left(x\right)}{\sin\left(x\right)}$

$5x^2-8x+1=0$

$2x+6\:>\:\frac{1}{2}x-4$

$\frac{1}{4}m+\frac{2}{5}n\:2\:\cdot\frac{1}{4}m-\frac{2}{5}n$

$\left(a+b\right)\left(a^4+a^2b^2-b^4\right)$