
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
If the product of $\left(x+3p\right)(x^{2}-x+\frac{1}{3}q)$ does not contain the linear term of $x$ and the quadratic term of $x$. Find the values of $p$ and $q$. Also, find the value of $p^{2020}q^{2021}$.

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