
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/>$(1)13+\left(-7\right)-\left(-9\right)+5\times \left(-2\right)$;<br/>$(2)|-3\frac{1}{2}|×\frac{12}{7}÷\frac{4}{3}÷(-3)^2$;<br/>$(3)-1^4-\frac{1}{6}×[2-(-3)^2]$.

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