$\lim_{t\to0}\left(\frac{1}{t}+\frac{1}{t^2+t}\right)$

$\frac{11}{2}\left(\frac{47}{10}n-\frac{9}{5}\right)+\frac{7}{3}n$

$\left(-5x^4-7y^3\right)^2$

$x^2-\frac{3}{4}x=5$

$-\left|-2\right|+\left|-5\right|-\left|-7\right|$

$\lim_{x\to\infty}\left(\frac{\left(ln\left(x\right)\right)^n}{x}\right)$

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