
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 pastry chef went to the market to buy eggs to make 43 cakes, all using the same recipe, which requires fewer than nine eggs. The vendor notices that if he tries to wrap the eggs the pastry chef bought in groups of two, three, four, five, or six eggs, there is always one egg left. How many eggs does she use in each cake? What is the smallest number of eggs the pastry chef will use to make the 43 cakes?

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