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Algebra Level 4

\(x^4\) + \(y^4\) + \(z^4\) - \(4xyz\) = \(-1\)

Find the sum of all possible values of \(x,y,z\) where \(x,y,z\) are integers.

  • Ex. if there are two pairs of values then sum of values of \(x,y,z\) is \((2,3,4) , (1,2,-3)\) here sum is \(2+3+4+1+2-3\)
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