
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
The computing machine was tasked with solving several problems sequentially. It was noticed that the machine took the same number of times less time to solve each subsequent problem compared to the previous one. How many problems were proposed and how much total time did the machine spend solving all the problems if the time spent on solving all problems except the first one was 63.5 minutes, the time spent on solving all problems except the last one was 127 minutes, and the time spent on solving all problems except for the first two and the last two was 30 minutes?

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