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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!
f(x) is a 6th degree polynomial satisfying f(1-x)=f(x+1) for all real values of x. If f(x) has four distinct real roots and two real and equal roots, then find the sum of all roots of f(x)=0.
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