
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/>$(1)-30-18-\left(-29\right)+\left(-24\right)$;<br/>$(2)-\frac{1}{3}×54+(-\frac{3}{4})÷|-0.25|$;<br/>$(3)-1^{2023}+(-\frac{3}{2})^3×\frac{4}{9}-5$;<br/>$(4)(-36)×(\frac{1}{9}-\frac{1}{6}+\frac{1}{4})$.

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