
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 $f$ be a function for which $f\left(\dfrac{x}{5}\right) = x^2 - 2x + 3$. Find the sum of all values of $z$ for which $f(5z) = 7$.
A) $\frac{1}{25}$ 
B) $\frac{2}{25}$ 
C) $\frac{3}{25}$ 
D) $\frac{4}{25}$ 
E) $\frac{5}{25}$

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