| \frac{3}{x}+\frac{x+15}{x^2-5x}+\frac{x}{x^2+10x-75}=\frac{5x+60}{x^2+10x-75} | \frac{-2}{x}+\frac{x-6}{x^2-3x}+\frac{x}{x^2-9x+18}=\frac{6}{x^2-9x+18} |
| \frac{1}{x}+\frac{x+1}{x^2-x}-\frac{4x}{x^2-1}=\frac{-2}{x+1} | \frac{4}{x}+\frac{x+12}{x^2-3x}+\frac{x}{x^2+9x-36}=\frac{6x+60}{x^2+9x-36} |
| \frac{1}{x^4+x^3+2x^2+x+1}-\frac{2}{x^4+x^2+1}=\frac{-1}{(x^2-x+1)(x^2+1)} | \frac{-3}{x}+\frac{x-6}{x^2-2x}-\frac{4x}{x^2-8x+12}=\frac{-6}{x-6} |
| \frac{2}{x}+\frac{x+10}{x^2-5x}-\frac{9x}{x^2+5x-50}=\frac{-6}{x+10} | \frac{1}{4x^4+2x^2+1}+\frac{4x^4+2}{8x^6-1}=\frac{1}{2x^2-1} |
| \frac{1}{x^4+x^3+x^2+x+1}+\frac{x^4+x^3+x^2+2}{x^5-1}=\frac{1}{x-1} | \frac{1}{x^4+x^2+1}+\frac{x^4+2}{x^6-1}=\frac{1}{x^2-1} |
| \frac{1}{x^2+x+1}+\frac{x^2+2}{x^3-1}=\frac{1}{x-1} | \frac{2x+4}{x^2-1}+\frac{x+2}{x^2-3x+2}=\frac{3x+6}{x^2-x-2} |