
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/>$(1)\left(-8\right)+10-2+\left(-1\right)$;<br/>$(2)12-7\times \left(-4\right)+8\div \left(-2\right)$;<br/>$(3)(\frac{1}{2}+\frac{1}{3}-\frac{1}{6})\div (-\frac{1}{18})$;<br/>$(4)-1^{4}-\left(1+0.5\right)\times \frac{1}{3}\div \left(-4\right)^{2}$.

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