
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 blanks with the following numbers in the corresponding sets: $+8.5$, $-3\frac{1}{2}$, $0.3$, $0$, $-3.4$, $12$, $-9$, $4\frac{1}{3}$, $-1.2$, $-2$.  
$(1)$ Set of positive numbers: $\{ \_\_\_\_\_\_\ldots \}$;  
$(2)$ Set of integers: $\{ \_\_\_\_\_\_\ldots \}$.

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