$\frac{d}{dx}\left(xy^2+3x^2=4y\right)$

$\left(2xy+\frac{1}{4}y^2\right)^2$

$\frac{dy}{dt}=\frac{y}{t^2\left(1-t\right)}$

$-6x^5y^3\left(3x^2y-4xy^4-2x^2y^2\right)$

$\lim_{x\to0}\left(\frac{\left(1-\frac{1}{x}\right)}{1-\frac{1}{x}}\right)$

$log\left(\frac{xy^3}{\sqrt{z}}\right)$

$x^2+12x+61$