
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/>$(1)-3+5-\left(-2\right)$;<br/>$(2)-6÷\frac{1}{4}×(-4)$;<br/>$(3)(\frac{5}{6}-\frac{3}{4}+\frac{1}{3})×(-24)$;<br/>$(4)-1^{2023}-[4-(-3)^2]÷(\frac{2}{7}-1)$.

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