
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
3 plus the remainder of the division of a natural number \(X\) by 26 is equal to the incomplete quotient, and the remainder of the division of \(X\) by 29 is also equal to the incomplete quotient.

Find all such \(X\).

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