
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
Petya wrote ten natural numbers on the board, none of which are equal. It is known that among these ten numbers, three can be selected that are divisible by 5. It is also known that four numbers can be selected that are divisible by 4. Can the sum of all the numbers written on the board be less than $75?$

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