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Algebra Level 3

(a8+b8+c8+d8+e8)(a11+b11+c11+d11+e11)\big(a^8 + b^8 + c^8 + d^8 + e^8\big)\big(a^{11} + b^{11} + c^{11} + d^{11} + e^{11}\big)

If a,b,c,d,ea, b, c, d, e are the roots of x5+7x1=0,x^5 + 7x - 1 = 0, then find the value of the expression above.


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