
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
Let \(w\), \(x\), \(y\), and \(z\) be whole numbers. If \(2^w \cdot 3^x \cdot 5^y \cdot 7^z = 2450\), then what is the value of \(3w + 2x + 7y + 5z\)?
A) 23  
B) 25  
C) 27  
D) 29  
E) 31

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