
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/>$(1)\left(-10\right)-\left(-22\right)+\left(-8\right)-13$;<br/>$(2)(\frac{5}{9}+\frac{5}{6}-\frac{3}{4})÷(-\frac{1}{36})$;<br/>$(3)-1^4-|0.5-1|×2-(-3)^2÷(-\frac{3}{2})$.

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