Is this even solvable?

Algebra Level 5

Consider the following polynomial:

x3+75x251=0 x^3 + 75x -251 = 0

If the roots of the polynomial are a a , b b and c c .

Find: 2251(a,b,c(a+b)3) \left| \dfrac{2}{251} \cdot \left( \displaystyle \sum_{a, b, c} (a + b)^3 \right) \right|

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