
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
A teacher wrote a fraction on the board with both the numerator and denominator being natural numbers. Misha added 30 to the numerator of this fraction and noted the resulting fraction in his notebook. Lesha subtracted 6 from the denominator of the fraction written on the board and noted the resulting fraction in his notebook. The fractions recorded by the boys turned out to be equal to the same number. What is this number?

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