
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:  
(1) $-|-5|+\left(3.14-\pi \right)^{0}+8\times 2^{-2}-\left(-1\right)^{2022}$;  
(2) $4x^{4}\cdot x^{2}-(-2x^{2})^{3}-3x^{8}\div x^{2}$;  
(3) (Simplified calculation) $2021\times 2019-2020^{2}$.

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