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

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