$$\lim_{x\to1}\left(\frac{e^x-1}{x^{14}}\right)$$

$$\frac{dy}{dx}=\frac{2xy+2x}{y}$$

$$2\sin\left(\frac{x}{5}\right)-\sqrt{3}=0$$

$$\left(x^2\:-\:5\right)^2\:2x$$

$$\int\ln\left(x-1\right)dx$$

$$2ab+5a-3ab-4a+b$$

$$\frac{3x^2+2x+2}{x+1}$$