Here is an answer to **Puzzle 282**

\$$a \otimes b \rightarrow (c \otimes d) \otimes b \rightarrow c \otimes (d \otimes b) \rightarrow c \otimes (b \otimes d) \rightarrow c \otimes (e \otimes f) \rightarrow (c \otimes e) \otimes f \rightarrow g \otimes f \$$

gives a sequence of operations:

\$$(\Theta \otimes 1_f) \circ \alpha_{c,e,f}^{-1} \circ (1_c \otimes \Psi) \circ (1_c \otimes \sigma_{d,b}) \circ \alpha_{c,d,b} \circ (\Phi \otimes 1_b) \$$