
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 numbers \( x, y, z \) are such that \( \frac{x + \frac{53}{18} y - \frac{143}{9} z}{z} = \frac{\frac{3}{8} x - \frac{17}{4} y + z}{y} = 1 \). Find \( \frac{y}{z} \).

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