
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 ratio of $u$ to $v$ is $5:2$, the ratio of $x$ to $y$ is $4:1$, and the ratio of $v$ to $y$ is $3:4$. What is the ratio of $u$ to $x$?
A) $\frac{15}{32}$
B) $\frac{10}{21}$
C) $\frac{8}{15}$
D) $\frac{20}{33}$

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