$e^y\cdot ydy=\frac{1+e^{-2x}}{e^x}dx$

$17x^5-51x^4-34x$

$\frac{d}{dx}\left(\sqrt{\sin\left(x\right)+\sqrt{\cos\left(2x\right)-\sqrt{x}}}\right)$

$\int\frac{4}{5}y\left(\frac{1}{6}y-2\right)^{\frac{3}{2}}dy$

$a^6+26a^3b^2+169b^4$

$y=\frac{1}{4}x-1$

$\frac{4x}{x^4+2x^2+1}$