
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:

(1) $(-6\dfrac{1}{2})\times \dfrac{4}{13}-8\div |-4+2|$

(2) $(-3)^{4}\div (1.5)^{2}-6\times (-\dfrac{1}{6})+|-3^{2}-9|$

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