$\left(2x^2+y^2\right)dx+\left(2xy+3y^2\right)dy=0$
$sin\left(x\right)\cdot2cot\left(x\right)=\sqrt{3}$
$\frac{6x^2-17x+12}{x-4}$
$\frac{a^2-2a\:-\:3}{a\:+\:1}$
$\frac{dy}{dx}=\:30x-xy$
$\left(\frac{3}{4}x^4-9xy\right)^2$
$x^3-1000y^3$
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