
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
Marvin has forgotten his bike lock code. The code is a sequence of four numbers: the first number is between 1 and 25 and is a prime number, the second number is a multiple of 4 between 1 and 20, the third number is a multiple of 5 between 1 and 30, and the fourth number is an even number between 1 and 12. How many different codes could Marvin's combination be?

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