
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 feed rates (in mm/rev) of a certain lathe come in the following 13 levels: 0.30, 0.33, 0.35, 0.40, 0.45, 0.48, 0.50, 0.55, 0.60, 0.65, 0.71, 0.81, 0.91. Determine the first and second test points.

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