$\sqrt{45x^{11}}$

$\frac{\left(-x^3+2x^2+0x+4\right)}{x+1}$

$\lim_{a\to0}\frac{1}{a^2}$

$\frac{4x^6+2x^5+2x^4}{2x^2}$

$\frac{\left|2\frac{-2}{3}-1\right|-\left|5-\frac{-2}{3}\right|+\left(\frac{-2}{3}\right)^2}{3\frac{-2}{3}-\left|\frac{-2}{3}\right|}$

$2sin^22a=1-cos4a$

$\frac{dy}{dx}=\frac{x\sin\left(2x\right)}{y^2}$