
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, with no two numbers being equal. It is known that out of these ten numbers, three can be chosen that are divisible by 5. It is also known that out of these ten numbers, four can be chosen that are divisible by 4. Can the sum of all the numbers on the board be less than 75?

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