
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
Evaluate the expression \[ \frac{a^2 + 2a}{a^2 + a} \cdot \frac{b^2 - 4}{b^2 - 6b + 8} \cdot \frac{c^2 + 16c + 64}{c^2 + 12c + 36} \]
given that \(c = b - 20\), \(b = a + 4\), \(a = 2\), and ensuring none of the denominators are zero.

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