
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
A gardener grows white and red flowers: peonies and roses. There are 301 flowers in his garden, including 135 roses and 182 red flowers. What is the minimum number of red peonies that could be growing in the gardener's garden?

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