
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/>$(1)24-\left(-16\right)+\left(-25\right)-32$;<br/>$(2)(-\frac{1}{2})×2÷2×(-\frac{1}{2})$;<br/>$(3)-2^2×5-(-2)^3×\frac{1}{8}+1$;<br/>$(4)(-\frac{1}{4}-\frac{5}{6}+\frac{8}{9})÷(-\frac{1}{6})^2+(-2)^2×(-6)$.

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