
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/>$(1)-\left(-7\right)-\left(-5\right)+\left(-4\right)$;<br/>$(2)\left(-81\right)\div \frac{9}{4}\times \frac{4}{9}\div \left(-16\right)$;<br/>$(3)-7-2\times \left(-3\right)+\left(-6\right)\div (-\frac{1}{3})$;<br/>$(4)\left(-1\right)^{2022}-|1-0.5|\times \frac{1}{2}\times [2-\left(-3\right)^{2}]$.

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