
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
Fill in the corresponding sets with the following numbers: (Fill in the numbers)<br/>①$-8$, ②$-\frac{π}{3}$, ③$\frac{22}{7}$, ④$0$, ⑤$-2.11111\ldots $, ⑥$-\left(-10\right)$, ⑦$-2^{3}$, ⑧$5\%$, ⑨$2.323323332\ldots $<br/>Set of positive numbers: $\{ \_\_\_\_\_\_\ldots \}$;<br/>Set of fractions: $\{ \_\_\_\_\_\_\ldots \}$;<br/>Set of integers: $\{ \_\_\_\_\_\_\ldots \}$;<br/>Set of irrational numbers: $\{ \_\_\_\_\_\_\ldots \}$.

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