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Hepta-tuples

Algebra Level 5

\[1+a^8+b^8+c^8+d^8+e^8+f^8+g^8=8abcdefg\] How many ordered tuples of real numbers \(a,b,c,d,e,f\) and \(g\) satsify the above equation?

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by Atul Shivam

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