
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
In a new scenario at the MP Donut Hole Factory, Eli, Mia, and Carlos are tasked with glazing spherical donut holes. Eli's donut holes have a radius of 5 mm, Mia's donut holes have a radius of 9 mm, and Carlos' donut holes have a radius of 12 mm. Eli, Mia, and Carlos coat the donut holes at rates of 2 units per minute, 1 unit per minute, and 3 units per minute, respectively. Assuming that the glaze has negligible thickness and is distributed equally on all donut holes, how many donut holes will Eli have glazed by the first time all three workers finish their current donut hole at the same time?

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