
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: $4$, $-2\frac{1}{2}$, $-12$, $3.14159$, $0$, $\frac{2}{5}$.<br/>Negative numbers: $\{ \_\_\_\_\_\_\}$;<br/>Non-negative numbers: $\{ \_\_\_\_\_\_\}$;<br/>Integers: $\{ \_\_\_\_\_\_\}$;<br/>Fractions: $\{ \_\_\_\_\_\_\}$.

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