$\lim_{x\to0}\left(\frac{6\:sin\:x\:-\:6\:x\:+\:x^3}{10x^5}\right)$

$ln\left(2\right)-ln\left(7\right)+.5ln\left(x\right)-ln\left(y\right)-ln\left(z\right)$

$\frac{a^3+a^2-a-1}{a^3-3a-2}$

$\frac{\sin^{2}x}{1+\cos x}$

$\int_0^5\left(\frac{7}{\sqrt{49-y^2}}\right)dy$

$\frac{x^2y^3}{x^2y^2}$

$\frac{d}{dx}x^3+2x$