[math]\frac{3y^3-12y^2-y+4}{9y^4-1}=0[/math]
[math]\frac{x+5}{x-1}+\frac{2x-5}{x-7}-\frac{30-12x}{8x-x^2-7}=0[/math]
[math]\frac{5x-1}{x+7}-\frac{2x+2}{x-3}+\frac{63}{x^2+4x-21}=0[/math]
[br][math]\frac{12}{x^2+x-10}-\frac{6}{x^2+x-6}=\frac{5}{x^2+x-11}[/math]
[math]\left(\frac{x+1}{x-3}\right)^2+18\left(\frac{x-3}{x+1}\right)^2=11[/math]