# 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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