
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
It is possible to produce 9000 parts using several new machines of the same design and one old machine that operates at half the speed of each new machine. The old machine can also be replaced with a new machine of the same design as the others. In the second scenario, every machine would produce 200 parts less than each new machine in the first scenario. How many machines were there in total?

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