$$\frac{1-\cot\left(x\right)}{\tan\left(x\right)-1}$$

$$\int5x\left(x+1\right)^{\frac{1}{2}}dx$$

$$8+12x^2+6^4+x^6$$

$$\lim_{x\to0}\left(\frac{x-8}{\sin x}\right)$$

$$arcsen\left(4\cdot3\right)$$

$$2y\left(4z+5w^3\right)\left(4z-5w^3\right)$$

$$\frac{3n^{-4}}{n^3}$$