$\log\left(\frac{\sqrt{xy}}{1000}\right)$

$\left(9x^3-1\right)^2$

$w^2x+3w+w^2=0$

$\lim_{x\to2}\left(\frac{tan4x}{tan5x}\right)$

$2\sqrt{27x^2y^5}$

$e^y\sin\left(x\right)dy+\left(e^y+1\right)\cos\left(x\right)dx=0$

$\left(\sqrt{3}-2\sqrt{6}\right)\left(\sqrt{3}+2\sqrt{6}\right)$