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Let $x_1, x_2, x_3, x_4$ be the roots of the polynomial $x^4+2x^3+3x^2+4x+5$. Define $\displaystyle a_n=\sum_{k=1}^{4}kx_k^{n}$. Compute

$\dfrac{a_{2018}+3a_{2016}+5a_{2014}}{a_{2017}+2a_{2015}} \; .$

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