$\frac{x^5-7x^3+3x^4+8x+2x^2+1}{x+1}$

$\int\frac{80}{x\left(2x+2\right)^2}dx$

$u=xg\left(x+y\right)+ym\left(x-y\right)$

$\frac{dy}{dx}\left(xy^3+e^x+y-2=0\right)$

$-\frac{1}{3}z+\frac{4}{3}z+\frac{12}{3}z-\frac{7}{3}z-\frac{9}{3}z$

$3x^4+5x^3-12x^2-20x$

$5abc\cdot\left(4a^6b^3\right)^2$