$sin4x=-2sin2x$
$\frac{x^3-3}{x^2+x+1}$
$\int\frac{3}{x^{2}+3x}dx$
$y'+y=xy^4$
$\lim_{x\to\infty}\left(\frac{x\left(x^2-1\right)}{\left|x^2-1\right|}\right)$
$3\left(x+15\right)=18$
$\frac{1}{-3}v'+\frac{1}{3}v=e^x$
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