Kyuubi-c?-2

Algebra Level 4

Let \(f(x)=ax^3+bx^2+cx+d\) with real numbers \(a,b,c,d\) satisfying \(|f(1)|=|f(2)|=|f(3)|=|f(4)|=|f(5)|=|f(6)|=|f(7)|=12\).

Find \(|f(0)|\).

Notation: \( | \cdot | \) denotes the absolute value function.

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