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Suppose that a parabola y = ax^2 + bx + ...

Suppose that a parabola `y = ax^2 + bx + c,` where `a>0 and (a + b + c)` is an integer has vertex `(1/4,-9/8).` If the minimum positive value of 'a' can be written as `p/q` where p and q are relatively prime positive integers, then find `(p + q).`

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