$y=\sqrt{\frac{x-2}{x^4+2}}$

$\frac{d}{dx}\left(x^2-2xy+y^2-6x+27=0\right)$

$\int\left(x^{-4}y\right)dx$

$\int\left(\frac{8x+5}{\left(x+8\right)\left(x+4\right)\left(x+6\right)}\right)dx$

$-5m+12\left(3+m\right)$

$\int\frac{2x-1}{x\left(x^2+2x-3\right)}dx$

$9x^5+9x^4-2x^2-10x^2$