$\lim_{x\to0}\left(\frac{1}{sin\left(8x\right)}-\frac{1}{8x}\right)$

$x\cdot y'+y=y^2\$

$9m^2n^2+42mn+49^2$

$\lim_{w\to27}\left(\frac{\cos\left(wt\right)-\cos\left(27t\right)}{729-w^2}\right)$

$2\sin^2x=3\cos x$

$\frac{2-3i}{1-5-12i}$

$\frac{x+1}{x-2}=\frac{3}{x^2-x-2}-2$