
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 $f(x) = x^2 + 3x + 2$. Calculate $ \left| 1 - \left| \frac{2}{f(1)} \right| \right| \cdot \left| 1 - \left| \frac{2}{f(2)} \right| \right| \cdot \left| 1 - \left| \frac{2}{f(3)} \right| \right| \cdot \left| 1 - \left| \frac{2}{f(2019)} \right| \right|$.

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