
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 25 seconds and Lacey can frost a cupcake every 35 seconds. If Lacey spends the first minute exclusively preparing frosting and then both work together to frost, determine the number of cupcakes they can frost in 10 minutes.

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