
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 \(p\) and \(q\) be the roots of \(x^2 - 5x + 6 = 0.\) Compute
\[
p^3 + p^4q^2 + p^2q^4 + q^3.
\]

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