
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
Given the polynomial \( P(x) = x^5 - x^2 + 1 \) with roots \( r_1, r_2, \ldots, r_5 \), and another polynomial \( Q(x) = x^2 + 1 \), find \( Q(r_1) Q(r_2) Q(r_3) Q(r_4) Q(r_5) \).

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