
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
Magician David Copperfield secretly told the same natural number to students Misha and Masha. Masha multiplied this number by 3 several times, and Misha added 2500 to this number the same number of times. When the students compared the results of their calculations, they found that the numbers were the same again. Find three different numbers that Copperfield could have told Misha and Masha.

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