
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 the following expressions:
1. $5\times \left(-2\right)^{2}-\left(-2\right)^{3}\div 4$;
2. $-{3}^{2}-{(-1\frac{1}{2})}^{3}×\frac{2}{9}-6÷(-|\frac{2}{3}|)$;
3. $99×(-99\frac{98}{99})$;
4. $-{1}^{4}-{(1-\frac{1}{2})}^{2}×\frac{1}{5}×[2+{(-3)}^{3}]$.

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