
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/>$(1)\left(-18\right)+\left(+9\right)-\left(-5\right)-\left(+7\right)$;<br/>$(2)2\frac{1}{4}÷\frac{3}{2}×(-\frac{2}{3})+|-\frac{1}{6}|$;<br/>$(3)5-(\frac{1}{2}-\frac{2}{3}+\frac{2}{5})÷(-\frac{1}{30})$;<br/>$(4)4^3÷(-32)-[(-\frac{2}{3})^3×(-3)^2+(-\frac{11}{3})]$.

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