
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
There is a basket of apples. When distributed among Class A, each person gets 3 apples and 11 are left. When distributed among Class B, each person gets 4 apples and 10 are left. When distributed among Class C, each person gets 5 apples and 12 are left. How many apples are in the basket at least?

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