
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
Initially, there were natural numbers from 1 to 2021, and they were all white. Then Boris painted every third number blue. After that, Vladimir painted every fifth number red. How many numbers remained white?

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