If I were given that in an interview I'd have asked "Seriously?" There's no point in giving that in an interview. If they said "Yes, seriously" then I'd have walked out.
32 = 16ac^4
2 and 1 are the only integers that fit that equation and setting c to be negative flips the sign every other pass so that on the third iteration a is -16.
It's pretty straight forward but I agree with Nerseus that it is a completely ridiculous question.
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