$\left(e^t+1\right)^2-4\left(e^t+1\right)+ln\left(e^t+1\right)$

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

$\frac{6^n\left(x\right)^{2n}}{\left(n+3\right)^2}$

$2log\left(x\right)=log\left(2\right)+log\left(5x-8\right)$

$\frac{d^6}{dx^6}\left(lnx\right)$

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

$45+45+25+1+100$