$y''+4y'+14y=0$
$\frac{dy}{dx}=4x^7y^8$
$\left(\frac{8x^2}{2x^2}\right)^2$
$\left(-1\right)^{n-1}\cdot\frac{4^n}{5^n\cdot n}$
$\tan^2\left(x\right)\frac{1}{\sec^2\left(x\right)}$
$\lim_{x\to\infty}\left(\frac{6x^2-6x^3+6x}{6x-x^2+3x^3}\right)$
$-2x^2+x+1$
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