# An algebra problem by Sakanksha Deo

Algebra Level 5

$\frac{1}{ \sqrt[7]{531441} + \sqrt[7]{472392} + \sqrt[7]{419904} + \sqrt[7]{373248} + \sqrt[7]{331776} + \sqrt[7]{294912} + \sqrt[7]{262144} }$

The expression above simplifies to $$\dfrac{ \sqrt[7]{a} - \sqrt[7]{b} + \sqrt[7]{c} }{d}$$, where $$a,b,d$$ are coprime positive integers with $$a>b$$.

Find $$a - b + c + d$$.

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