
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 that the polynomial $-8x^{3}y^{m}+xy^{2}-3x^{3}+6y$ is a sixth-degree quadrinomial, and the monomial $\frac{3}{2}πx^2y^{5-n}$ has the same degree as this polynomial.<br/>$(1)$ Find the values of $m$ and $n$.<br/>$(2)$ Find the sum of the coefficients of the polynomial.

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