
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 first, then evaluate:<br/>$(1)3(a^{2}-ab+7)-2(3ab-a^{2}+1)+3$, where $a=2$ and $b=\frac{1}{3}$.<br/>$(2)5x^{2}-[2xy-3(\frac{1}{3}xy+2)+4x^{2}]$, where $x$ and $y$ satisfy $\left(x+2\right)^{2}+|y-\frac{1}{2}|=0$.

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