$\frac{d}{dx}x^3-y^2=xy$
$\int\left(\frac{3x^4-2x^3+3x^2-34}{x}\right)dx$
$cos\left(60^{\circ\:}+a\right)=sin\left(30^{\circ\:}-a\right)$
$x^2-18x+25=0$
$\frac{1}{x+4}\le\frac{1}{x-8}$
$\frac{d}{dx}x^6-y$
$\lim_{n\to\infty}\:\frac{2^{2n}\cdot2}{4^n-1}$
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