
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/>$(1)|-6|-7+(-3)$;<br/>$(2)(\frac{1}{2}-\frac{5}{9}+\frac{2}{3})×(-18)$;<br/>$(3)4÷(-2)×(-1\frac{1}{2})-(-2^2)$;<br/>$(4)-\frac{5}{7}×[(-3)^2×(-\frac{2^2}{3})-2]$.

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