
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 a box, there are blue, red, and green pencils. There are 20 pencils in total. The number of blue pencils is 6 times the number of green pencils, and there are fewer red pencils than blue pencils. How many red pencils are in the box?

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