$\left(x^2+10y^{12}\right)^2$

$\frac{2e^{50t}+1}{2},\:\frac{2e^{50t}}{2e^{50t}-1}$

$\lim_{x\to\infty}\frac{\left(2^x+4^x\right)}{5^x-2^x}$

$\frac{dy}{dx}=\frac{x-1}{y^2}y\left(0\right)=2$

$3x+2<x-8$

$\int\frac{-x^2-5x+11}{\left(x^2-1\right)\left(x^2+4\right)}dx$

$\left(x-3\right)x^2+3x+9$