$\frac{dy}{dt}=7t^5$

$\left|\left(-2\right).\left(-2\right)+\left(-3\right)\right|^2.\left(-5\right)-5$

$\lim_{x\to0}\left(\frac{10x^3}{x^2+8x}\right)$

$-3d\:-\:2d\:+\:7d\:-\:5d$

$4\left(\sqrt[5]{3xy}^5.\sqrt[5]{81x}^4\right)$

$\frac{dy}{dx}=-\frac{4xy}{\left(1+x^2\right)}+\frac{1}{\left(1+x^2\right)^3}$

$\left(-19\right)\:-\:\left(-13\right)\left(-19\right)\:-\:\left(-13\right)$