Dino Dio

Algebra Level 5

a,b,c,da, b, c, d are integers such that

{a+b+c+d=0(abcd)(acbd)(adbc)+5282=0 \begin{cases} a + b + c + d = 0 \\ (ab-cd)(ac-bd)(ad-bc) + 528 ^2 =0 \\ \end{cases}

What is the maximum possible value of aa?

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