
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/>$(1)12-\left(-18\right)+\left(-7)$;<br/>$(2)12×(\frac{1}{2}-\frac{5}{6}+\frac{2}{3})$;<br/>$(3)8÷(-\frac{1}{3})×(-1\frac{1}{2})+(-6)$;<br/>$(4)-{2}^{2}-(1-\frac{1}{3})×|3-{(-3)}^{2}|$;<br/>$(5)(-\frac{1}{6}+\frac{3}{4}-\frac{5}{12})×36$;<br/>$(6){(-3)}^{2}÷2\frac{1}{4}×(-\frac{2}{3})+4+{2}^{2}×(-\frac{8}{3})$.

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