Let f(x) be a third-degree polynomial with real coefficients satisfying

|f(1)|=|f(2)|=|f(3)|=|f(5)|=|f(6)|=|f(7)|=12 \text {. }

Find |f(0)|.

Let f(x) be a third-degree polynomial with real coefficients satisfying

|f(1)|=|f(2)|=|f(3)|=|f(5)|=|f(6)|=|f(7)|=12 \text {. }

Find |f(0)|.