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Consider alpha, beta ,gamma are the roo...

Consider `alpha, beta ,gamma` are the roots of `x^(3)-x^(2)-3x+4=0` such that `tan^(-1)alpha+tan^(-1)beta+tan^(-1)gamma=theta` . If the positive value of `tan (theta)` is p/q, where p and q are natural numbers, then find the value of `(p + q)`.

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