
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 moving escalator has 125 steps. If we move upwards on the steadily moving escalator, after climbing 45 steps we reach the top. Next time, we manage to climb 55 steps this way. (The speed of the escalator has not changed.) By how many times did we manage to increase our speed?

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