
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/>$(1)-1^4-\frac{1}{6}×[2-(-3)^2]÷(-7)$;<br/>$(2)(1\frac{1}{2}-\frac{5}{8}+\frac{7}{12}$）$÷(-\frac{1}{24})-8\times (-\frac{1}{2})^{3}$.

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