$\lim_{x\to\infty}\left(6x^{\frac{1}{x}}\right)$

$\left[\left(-4\right)^5\right]^2$

$\frac{dy}{dx}=-2xy^2,\:y\left(0\right)=\:1$

$\frac{x^3-9x^2+31x-39}{x-3}$

$\frac{d^6}{dx^6}\left(x^7+2x^6+3x^2-4x\right)$

$\lim_{x\to1}\left(\frac{x^6-1}{x-1}\right)$

$\lim_{x\to0}\left(\frac{3sin\left(t\right)}{cos3\left(t\right)}\right)$