
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
In an opaque box, there are 20 blue lucky stars, some red lucky stars, and 15 yellow lucky stars. All these lucky stars are identical except for their colors. Xiao Ming randomly picks out a lucky star from the box, notes its color, and puts it back. Through a large number of repeated experiments, he finds that the frequency of picking a red lucky star stabilizes at 0.5. Estimate the number of red lucky stars in the box.

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