$5xyp\:+\:2xzp-xyp$

$\lim_{x\to0}\left(\frac{xln\left(x\right)^2}{\left(x+1\right)ln\left(x+1\right)^2}\right)$

$64b^2-40b+100$

$8^1\cdot8^0$

$3\left(\frac{1}{2}x^2\right)\left(-\frac{2}{3}y\right)$

$\left(xy^3\right)\cdot\left(xy\right)^4$

$\frac{d^{2}y\left(t\right)}{dt^{2}}+2\xi\omega_{n}\frac{dy\left(t\right)}{dt}+\omega_{n}^{2}y\left(t\right)=k\omega_{n}^{2}u\left(t\right)$