
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 appropriate parentheses with the following numbers: $-2.5$, $0$, $8$, $-2$, $\frac{π}{2}$, $0.7$, $-\frac{2}{3}$, $-1.12112112\ldots$, $\frac{3}{4}$.  
Positive number set $\{ \_\_\_\_\_\_\ldots .\}$;  
Integer set $\{ \_\_\_\_\_\_.\ldots .\}$;  
Irrational number set $\{ \_\_\_\_\_\_\ldots ..\}$.

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