
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) How many zeros are at the end of the number \( A = 2^{5} \times 3^{7} \times 5^{7} \times 11^{3} \) ?

b) How many zeros are at the end of the number \( B = 1 \times 2 \times 3 \times 4 \times \cdots \times 137 \) ?

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