# Bet you can't bash this out!

Algebra Level 5

Given that $$z, n, p$$ stand for the number of non-real, negative and non-negative roots of the equation $$2014x^{2014}+3021x^{1006}-4028x=0$$, find the value of $$(z \times 3p)^{2014} \pmod {10000}$$

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