
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
If \( a, b, c, \) and \( d \) satisfy \( \frac{a}{b} = \frac{2}{3} \) and \( \frac{c}{b} = \frac{1}{5} \) and \( \frac{c}{d} = \frac{7}{15} \), what is the value of \( \frac{a b}{c d} \)?

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