
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
How many of the following positive integers are divisible by 24?
$$
2^{2} \times 3^{2} \times 5^{2} \times 7^{3} \quad 2^{2} \times 3^{2} \times 5^{3} \times 7^{2} \quad 2^{2} \times 3^{3} \times 5^{2} \times 7^{2} \quad 2^{3} \times 3^{2} \times 5^{2} \times 7^{2}
$$

A 0  
B 1  
C 2  
D 3  
E 4

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