
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/>$(1)4-\left(-8\right)+\left(-6\right)$;<br/>$(2)17+4×(-5)-1÷2×\frac{1}{2}$;<br/>$(3)-2^3-(\frac{1}{3}-\frac{5}{6}+\frac{3}{4})÷(-\frac{1}{24})$;<br/>$(4)|\sqrt{3}-2|-\sqrt{(-2)^2}-\sqrt[3]{64}$.

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