
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
Calculate:<br/>$(1)5ab^2-3ab^2+\frac{1}{3}ab^2$;<br/>$(2)(7m^{2}n-5m)-(4m^{2}n-5m)$;<br/>$(3)$ Simplify first, then evaluate: $2x^{2}y-2(xy^{2}+2x^{2}y)+2(x^{2}y-3xy^{2})$, where $x=-\frac{1}{4},y=2$.

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