
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 the system of equations
\[
4x - 2y = c,
\]
\[
6y - 12x = d.
\]
has a solution, find \( \frac{c}{d}, \) assuming \( d \neq 0. \)

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