O=C(O)C1=C(C(=O)Nc2ccc(NC(=O)C3=C(C(=O)O)C4C=CC3C4)cc2)C2C=CC1C2
A rotatable bond is defined as any single non-ring bond, attached to a non-terminal, non-hydrogen atom. Amide C-N bonds are not counted because of their high barrier to rotation.  How many rotatable bonds does the molecule have?