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Let f(x)=((x-1)^(3)(x+2)^(4)(x-3)^(5)(x+...

Let `f(x)=((x-1)^(3)(x+2)^(4)(x-3)^(5)(x+6))/(x^(2)(x-7)^(3))`. Solve the following inequality
`f(x)lt0`

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