
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
Classify the following numbers: $-3$, $+\left(-1\right)$, $0$, $20$, $\frac{1}{4}$, $17\%$, $-8\frac{1}{2}$, $-\left(-2\right)$, $\frac{22}{7}$<br/>Set of positive integers: ______;<br/>Set of fractions: ______;<br/>Set of non-positive rational numbers: ______.

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