
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
Cagney can frost a cupcake every 15 seconds and Lacey can frost a cupcake every 40 seconds, but Lacey makes an error every 10 cupcakes, losing 40 seconds to fix the issue. Calculate how many cupcakes they can frost together in 10 minutes.

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