$\frac{cos\:xsin^2x}{1+cos\:x}=cos\:x-cos^2\:x$
$\frac{d}{dx}e$
$\frac{1}{y}y'\:=-\frac{\sin\:\left(x\right)+1}{x-\cos\:\left(x\right)}$
$\int3z\cdot\cos\left(-z\right)dx$
$x^2+45x+45$
$1+20x^4-4x^3-5x$
$\frac{d}{dx}5x^5+x^3+2x^2$
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