
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
Given Cagney can frost a cupcake every 24 seconds, Lacey every 40 seconds, and Sammy every 30 seconds, find the number of cupcakes they can frost together in 12 minutes.

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