
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/>$(1)-3+\left(-9\right)+10-\left(-18\right)$;<br/>$(2)12÷2×(-\frac{1}{2})-75÷(-5)$;<br/>$(3)-4^3-2×(-5)^2+6÷(-\frac{1}{3})^2$;<br/>$(4)(-1\frac{1}{4}-1\frac{5}{6}+2\frac{8}{9})÷(-\frac{1}{6})^2$.

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