
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/>$(1)-2^{2}+(-\frac{1}{2})^{-3}-\left(\pi -5\right)^{0}-|-3|$;<br/>$(2)2022^{2}-2021\times 2023$;<br/>$(3)\left(2x-y+1\right)\left(2x+y-1)$.

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