
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
Let  $a$  and  $b$  satisfy the conditions  $\begin{cases}
a^3 - 6a^2 + 15a = 9 
b^3 - 3b^2 + 6b = -1 \end{cases}$. Evaluate the value of  $(a - b)^{2014}$.

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