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Let \( f(x) \) be a polynomial of degree 3 such that

when \( f(x) \) is divided by \((x-a) \), the remainder is \(a\); when \(f(x) \) is divided by \((x-b) \), the ...

The radius of Jupiter is 11 times the radius of the earth. Then, how many earths can we fit inside Jupiter? Obviously, none of the "earths" is to be powdered ...

Which of the following quadrant(s) have/has points with a positive abscissa?

Consider the expression below.

\(2^{8} + 2^{15} + 2^{x}\)

what is the value of \(x\) so that this expression becomes a perfect square?

How many isosceles triangles having a perimeter of \(2015\) units, and an obtuse angle, with integer-side lengths are possible?

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