
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/>$(1){({\frac{1}{3}})^{-2}}+\left(1-\pi \right)^{0}-|-2|$;<br/>$(2)-2x(2x^{2}-3x-1)$;<br/>$(3)0.125^{2023}\times \left(-8\right)^{2024}$;<br/>$(4)$利用乘法公式计算:$2023^{2}-2021\times 2025$.

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