
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/>$(1)(-\frac{1}{2})^{-2}+(-1)^{2023}-|-2|$;<br/>$(2)(x^{3}y^{3}+4x^{2}y^{2}-3x^{2}y)\div (x^{2}y)$;<br/>$(3)\left(1-2x\right)\left(x-3\right)$;<br/>$(4)\left(a+b+1\right)\left(a+b-1)$.

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