
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
Suppose that $x$ cows provide $y$ gallons of milk in $z$ days. Knowing that each additional cow provides milk at three times the rate of the previous cow, how many gallons of milk will $w$ cows provide in $v$ days?
**A)** $\frac{vy(2^{w-1})}{z}$  
**B)** $\frac{vy(3^w - 1)}{z(3^x - 2)}$  
**C)** $\frac{vy(3^w - 1)}{z(3^x - 1)}$  
**D)** $\frac{v(3^{w} - 2y)}{z(x - 1)}$  
**E)** $\frac{vy(3^{w+1})}{z(3^{x+1})}$

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