
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 braces with the following numbers (separate each number with a comma): $6$, $-3$, $2.4$, $-\frac{3}{4}$, $0$, $-3.14$, $\frac{2}{9}$, $+2$, $-3\frac{1}{2}$, $-1.414$, $-17$, $\frac{2}{3}$.  
Positive numbers: $\{ \_\_\_\_\_\_\ldots \}$;  
Non-negative integers: $\{ \_\_\_\_\_\_\ldots \}$;  
Integers: $\{ \_\_\_\_\_\_\ldots \}$;  
Negative fractions: $\{ \_\_\_\_\_\_\ldots \}$.

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