$\cos^2\left(\frac{3\pi}{11}\right)-\sin^2\left(\frac{3\pi}{11}\right)$
$3x^3\cdot3x$
$\frac{x^3+3^3}{x-3}$
$\frac{3x^{\:3}y-5x^2y^2-xy^3}{x^2y^2}$
$x\frac{dy}{dx}+y=6x\sqrt{3+x^2}$
$\left(-5x^5y^2\right)^4$
$\frac{dy}{dx}=2x+5y+3$
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