
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
Dr. Math's house number $WXYZ$ is a four-digit number where each digit $W$, $X$, $Y$, and $Z$ is non-zero, and the two portions of the house number, $WX$ and $YZ$, form two-digit primes. Every prime number selected must be less than 50. Additionally, the sum of the digits in $YZ$ must be even, and $WX$ and $YZ$ must be different. How many such house numbers $WXYZ$ are possible?

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