
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
Read the following material and complete the related blanks and calculations.<br/>$(1)$ According to the definition of reciprocal, if $\left(a+b\right)\div c=-2$, then $c\div \left(a+b\right)=\_\_\_\_\_\_.$<br/>$(2)$ Calculate $(\frac{5}{12}-\frac{1}{9}+\frac{2}{3})÷\frac{1}{36}$.<br/>$(3)$ According to the above information: $(-\frac{1}{36})÷(\frac{5}{12}-\frac{1}{9}+\frac{2}{3})=\_\_\_\_\_\_$.

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