$x^2+6x+y^2=0$
$5x^2+20x+12=0$
$\left(y^2-1\right)\frac{dy}{dx}=3y$
$\frac{d}{dx}5x^2-2xy+7y^2=0$
$\frac{du}{dx}=2+4u^2$
$\frac{x+1}{x-1}+2>\:0$
$2sec^2+tan^2x-3$
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