
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/>$(1)\left(-1\right)^{2023}-\sqrt{{3}^{2}}+(\frac{1}{2})^{-2}-\left(3-\pi \right)^{0}$;<br/>$(2)8a^{6}\div 2a^{2}+(3a^{2})^{2}-a\cdot a^{3}$;<br/>$(3)\left(3a+b\right)\left(a-b\right)+b\left(4a-b\right)$;<br/>$(4)\left(x+y-2\right)\left(x-y-2\right)$.

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