Is the eighth derivative of p(x) = 7x8 - 8x7 - 5x6 + 6x5 - 4x3 positive

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Is the eighth derivative of p(x) = 7x8 - 8x7 - 5x6 + 6x5 - 4x3 positive or negative?
Some higher derivatives can be found without a lot of calculation.
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