
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) $-17 \times 43 + (-17) \times 20 - (-17) \times 163$;  
(2) $-2^{2} + (-1)^{2023} + 27 \div 3^{2}$;  
(3) $-2^2 ÷ (-4)^{-3} + 0.8 - 1 \times (2\frac{1}{2})^{-2}$;  
(4) $-16 - {4}^{2} - (-1) \times (\frac{1}{3} - \frac{1}{2}) ÷ \frac{1}{6} - \frac{1}{6}$.

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