Cc1cc(/C=C2/C(=O)NN(c3ccccc3)C2=O)c(C)n1-c1ccc(O)cc1
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?