$\log_a\left(x-1\right)+\log_a\left(\sqrt{x-1}\right)$

$2\left(5x-y\right)\:-\left(7x+y\right)$

$\frac{8\cdot1^{\frac{7}{4}}-5\cdot1^{\frac{4}{5}}-3}{1^2-1}$

$e\:=\:3sen33^{\circ}csc57^{\circ}\:-\:cos57^{\circ}sec33^{\circ}$

$\lim_{x\to\infty}\left(\frac{\log\left(x+1\right)^2+1}{\log\left(x\right)^2+1}\right)$

$1x^2-4x+0$

$\frac{x^4-x^3-2x-8}{x+3}$