
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 parentheses with the following numbers: $-8$, $+6$, $15$, $-0.4$, $25\%$, $0$, $-2024$, $-(-2)$, $\frac{3}{7}$.

Positive integer set: $\{ \_\_\_\_\_\_\ldots \}$;<br/>Negative number set: $\{ \_\_\_\_\_\_\ldots \}$;<br/>Fraction set: $\{ \_\_\_\_\_\_\ldots \}$.

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