
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
$(1)$ Simplify $2a{b}^{2}+4(ab-\frac{3}{2}a{b}^{2})-4ab$.  
$(2)$ Simplify first, then find the value: $-2(mn-3m^{2})-(m^{2}-5mn+2mn)$, where $m=1$, $n=2$.

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