
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 pastry, two cupcakes, and three bagels; Anya bought three pastries and a bagel; and Kolya bought six cupcakes. All of them paid the same amount of money for their purchases. Lena bought two pastries and two bagels. How many cupcakes could she buy for the same amount of money she spent?

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