
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 braces with the following numbers (separate each number with a comma): $7$, $-3.14$, $-|-5|$, $\frac{1}{8}$, $0$, $-1\frac{2}{3}$, $4.6$, $-(-\frac{3}{4})$,$-2$<br/>Positive numbers: $\{ \_\_\_\_\_\_\ldots \}$<br/>Negative numbers: $\{ \_\_\_\_\_\_\ldots \}$<br/>Integers: $\{ \_\_\_\_\_\_\ldots \}$<br/>Fractions: $\{ \_\_\_\_\_\_\ldots \}$

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