
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 confectioner went to the market to buy eggs to make 43 cakes, all with the same recipe, which uses fewer than 9 eggs. The vendor notices that if they try to wrap the eggs the confectioner bought in groups of 2, 3, 4, 5, or 6 eggs, there is always 1 egg left over. How many eggs does she use in each cake? What is the smallest number of eggs the confectioner will need to make the 43 cakes?

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