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Suppose p(x) is a polynomial with intege...

Suppose `p(x)` is a polynomial with integer coefficients. The remainder when `p(x)` is divided by `x-1` is 1 and the remainder when `p(x)` is divided cby `x-4` is 10. If `r(x)` is the remainder when `p(x)` is divided by `(x-1)(x-4)` then find the value of `r(2006)`

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