$$x^{4}+2x^{2}-5x-1\div2x^{2}-1$$
$x^{4}+\frac{3x^{2}}{2}-5x-1$
$$x^{4}+\frac{3}{2}x^{2}-5x-1$$
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$\frac{2x^{4}+3x^{2}-10x-2}{2}$
$$\frac{2x^{4}+4x^{2}-10x-x^{2}-2}{2}$$
