
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
Vovochka wrote the equation \(101 = 11011\) on the board. The computer science teacher said that this equation would be true if understood as the representation of the same number but in different number systems. Find the bases of these systems.

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