
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
Petya bought one cake, two muffins, and three bagels; Anya bought three cakes and one bagel; and Kolya bought six muffins. They all paid the same amounts of money. Lena bought two cakes and two bagels. How many muffins could she have bought for the same amount she spent?

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