$\frac{m^{6}-m^{3}-20}{m^{3}-5}$

$\frac{2sin\left(2x\right)}{\left(1+cos\left(2x\right)\right)\left(1-tan^2\left(x\right)\right)}$

$81b^2.\:9g^2$

$\left(x^3+2x^2+x\right)^3$

$\int\left(\frac{\left(2x\:+1\right)}{x^2+x-6}\right)dx$

$-3x\left(x^2-3x+4\right)$

$\sin\left(\frac{\pi}{8}\right)\cos\left(\frac{5\pi}{6}\right)-\cos\left(\frac{\pi}{8}\right)\sin\left(\frac{5\pi}{8}\right)$