
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/>$(1)(2\times 10^{3})^{2}\times (-2\times 10^{-5})$;<br/>$(2)2021^{2}-2019\times 2023$;<br/>$(3)\left(2m-3\right)^{2}(2m+3)^{2}$;<br/>$(4)\left(a+b-1\right)\left(a-b-1\right)$.

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