| \frac{1}{x^2+x+1}+\frac{x^2+2}{x^3-1}=\frac{1}{x-1} | \frac{-2}{x}+\frac{x-2}{x^2-x}-\frac{x}{x^2-3x+2}=\frac{-2}{x-2} |
| \frac{5}{x}+\frac{x+25}{x^2-5x}+\frac{x}{x^2+20x-125}=\frac{7x+150}{x^2+20x-125} | \frac{1}{4x^4+2x^2+1}+\frac{4x^4+2}{8x^6-1}=\frac{1}{2x^2-1} |
| \frac{-4}{x}+\frac{x-4}{x^2-x}-\frac{9x}{x^2-5x+4}=\frac{-12}{x-4} | \frac{2x+4}{x^2-1}+\frac{x+2}{x^2-3x+2}=\frac{3x+6}{x^2-x-2} |
| \frac{2}{x}+\frac{x+10}{x^2-5x}+\frac{x}{x^2+5x-50}=\frac{4x+30}{x^2+5x-50} | \frac{4}{x}+\frac{x+16}{x^2-4x}+\frac{x}{x^2+12x-64}=\frac{6x+80}{x^2+12x-64} |
| \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+15}{x^2-5x}-\frac{16x}{x^2+10x-75}=\frac{-12}{x+15} |
| \frac{1}{x^4+x^2+1}+\frac{x^4+2}{x^6-1}=\frac{1}{x^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} |