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Let f (x) = ax^(2)+bx+c where a, b, c ar...

Let f `(x) = ax^(2)+bx+c` where a, b, c are integers. Suppose f (1)=0,`40 lt f (6) lt 50, 60 lt f (7) lt 70, and 1000t lt f(50) lt 1000(t+1)` for some integer t. Then the value fo t is

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