
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
The graph of the function f(x) = sin(4x + φ), where φ > 0, is translated to the left by $\frac{\pi}{3}$ units to obtain the graph of the function g(x). If the line x = $-\frac{\pi}{5}$ is an axis of symmetry for the graph of y = g(x), find the minimum value of φ.

A) $\frac{9\pi}{10}$
B) $\frac{14\pi}{15}$
C) $\frac{29\pi}{30}$
D) $\frac{59\pi}{30}$

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