Is this even solvable?

Algebra Level 5

Consider the following polynomial:

\[ x^3 + 75x -251 = 0 \]

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

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

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