
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 $a$, $b$, $c$, and $d$ be quantities such that the ratio of $a$ to $b$ is $5:2$, the ratio of $c$ to $d$ is $4:1$, and the ratio of $d$ to $b$ is $3:10$. Determine the ratio of $a$ to $c$.
A) $\frac{10}{3}$
B) $\frac{25}{12}$
C) $\frac{30}{13}$
D) $\frac{20}{11}$
E) $\frac{24}{5}$

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