$\lim_{x\to0}\left(\frac{\sqrt{x}}{x^2+1}\right)$
$\frac{dy}{dx}\left(x^2+1\right)+3xy=6x$
$\frac{4x^2+1}{2x+2}$
$36y^2-48$
$\frac{6\left(8t^3-6t^2-72t-43\right)}{\left(2t^2+4t+5\right)^2}$
$14^2y^2+68xy^2-210y^2$
$\frac{z^2+z-1}{z^2-z+1}$
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