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These problems are mostly math-related. That's not to say that they're all straightforward. You'll still need to flex your noggin to figure them out!
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Nonzero real numbers a, b, and c are such that
a2+b+c=1/a
b2+c+a=1/b
c2+a+b=1/c
Find (a-b)(b-c)(c-a)
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