
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
The sum of the polynomials $4a^{3}-2ma^{2}+3a-1$ and $5a^{3}-4a^{2}+\left(n-1\right)a-1$ does not contain terms with $a^{2}$ or $a$. Find the values of $m$ and $n$. Also, find the value of $(4m^{2}n-3mn^{2})-2(m^{2}n+mn^{2})$.

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