
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
Mr. Thompson has three nephews who visit him regularly. One visits him every six days, another every eight days, and the last one every ten days. All three visited him on January 1, 2020. Calculate the number of days during the year 2020 when Mr. Thompson did not receive a visit from any of his nephews.

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