\(\dfrac{x^2+2}{1-x^3}-\dfrac{1}{2\left(1+\sqrt{x}\right)}-\dfrac{1}{2\left(1-\sqrt{x}\right)}\)

\(\dfrac{1+\sqrt{5}}{\sqrt{15}-\sqrt{5}+\sqrt{3}-1}\)

\(\dfrac{x\sqrt{x}-2x+28}{x-3\sqrt{x}-4}\)

\(\left\{{}\begin{matrix}x^2-\dfrac{1}{y-1}=2\\2x^2+\dfrac{3}{1-y}=2\end{matrix}\right.\)

\(\left\{{}\begin{matrix}\dfrac{4}{x+y-1}-\dfrac{5}{2x-y+3}=\dfrac{5}{3}\\\dfrac{3}{x+y-1}+\dfrac{1}{2x-y+3}=\dfrac{7}{5}\end{matrix}\right.\)

\(\left\{{}\begin{matrix}\dfrac{5x}{x+1}+\dfrac{y}{y-3}=27\\\dfrac{2x}{x+1}-\dfrac{3y}{y-3}=4\end{matrix}\right.\)

\(\left\{{}\begin{matrix}\dfrac{3}{2x-y}-\dfrac{6}{x+y}=-1\\\dfrac{1}{2x-y}-\dfrac{1}{x+y}=0\end{matrix}\right.\)