$$\lim_{x\to\infty}\frac{x+sin\left(x\right)}{x+1}$$

$$t^3y^2dt+t^4y^{-6}dy=0$$

$$e^{xy+3y}=6$$

$$\sqrt{16}+8-2^2\cdot3$$

$$\int\left(\frac{d}{x^3+x}\right)$$

$$m^4n^3\sqrt[5]{\frac{32}{m^5n^{10}}}$$

$$x\left(x+2\right)\left(x-2\right)$$