
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 $a \otimes b = \frac{a^3}{b}$. Define another operation $\oplus$ where $a \oplus b = a^2 + b$. Determine $[(1 \otimes 4) \otimes 6] - [1 \otimes (4 \otimes 6)]$, where $a \otimes b = \frac{a^3}{b \oplus 1}$.
A) $-\frac{3}{4}$
B) $\frac{68317}{181781}$
C) $-\frac{68316}{181781}$
D) $\frac{1}{181781}$

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