$$\frac{15m^{-3}n^2p^4}{-5mn^4p^5}$$

$$4^{-3}\cdot5^2$$

$$\left(a^4+6\right)^2$$

$$5\cdot\log\left(x\right)-\log\left(32\right)=\log\left(\frac{x}{2}\right)$$

$$1-\frac{\left(cos^2o\right)}{1+sino}=sino$$

$$\left(3n+5p^3\right)\cdot\left(3n-5p^3\right)$$

$$-\frac{s\left(s+3\right)}{\left(s-1\right)\left(s^2+1\right)}$$