
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/>$(1){({-\frac{1}{2}})^{-3}}-{2023^0}-|{-5}|$;<br/>$(2)(3a^{2})^{2}-a^{2}\cdot 2a^{2}+(-2a^{3})^{2}\div a^{2}$;<br/>$(3)\left(x-y\right)^{2}-\left(x-2y\right)\left(x+2y\right)$;<br/>$(4)\left(x+2y-3\right)\left(x-2y-3)$.

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