
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
Simplify and find the value:<br/>$(1)2(3a^{2}b-ab^{2})-3(2a^{2}b-ab^{2}+ab)$, where $a=\frac{1}{2}$, $b=-2$.<br/>$(2)$If the polynomial in terms of $a$ and $b$, $(a^{2}+2ab-b^{2})-(a^{2}+mab+2b^{2})$, does not contain the term $ab$, find the value of $m$.

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