
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/>$(1)$①$\left(-2\right)^{2}-\left(2021-\pi \right)^{0}-(-\frac{1}{2})^{-2}$;<br/>②$(2m^{2}+6m^{2}n-m^{3})\div (-2m^{2})$.<br/>$(2)$Factorize:<br/>①$a^{2}-4b^{2}$;<br/>②$2mx^{2}-4mxy+2my^{2}$.

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