
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/>$(1)-{1^{2022}}+{({-\frac{1}{2}})^2}×{({-2})^3}×{({-2})^2}-{|{π-3.14}|^0}$;<br/>$(2)a^{3}\cdot (-b^{3})^{2}+\left(-2ab\right)^{3}$;<br/>$(3)(2a^{3}b^{2}-3a^{2}b-4a)\cdot 2b$.

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