
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
Among $-\sqrt{12}$, $0$, $\frac{{22}}{7}$, $\sqrt[3]{{-125}}$, $\sqrt{{{(\frac{1}{{10}})}^2}}$, $0.3$, $-\frac{π}{2}$, $\sqrt[3]{{0.08}}$, ____ is an irrational number; ____ is a rational number.

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