
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
The operation $\otimes$ is defined for all nonzero numbers by $a\otimes b =\frac{a^{3}}{b}$. Determine $[(1\otimes 3)\otimes 2]-[1\otimes (3\otimes 2)]$.
A) $-\frac{1}{27}$
B) $-\frac{1}{18}$
C) $0$
D) $\frac{1}{54}$
E) $\frac{2}{27}$

Present the answer in LaTex format: \boxed{Your answer}
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