
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 $(x^2+px-\frac{1}{3})(x^2-3x+q)$ does not contain terms with $x$ and $x^{3}$, find:<br/>
$(1)$ the values of $p$ and $q$;<br/>
$(2)$ the value of the algebraic expression $(-2p^{2}q)^{2}+3pq$.

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