
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
Is the equality \((a^{4}-1)^{6}=(a^{6}-1)^{4}\) an identity if: 1) \(a\) is any number; 2) \(a \in \{-1, 0, 1\}\)?

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