
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
For the real numbers \(a, b, c, d\), if \(\frac{a}{b}+\frac{b}{c}+\frac{c}{d}+\frac{d}{a}=6\) and \(\frac{a}{c}+\frac{b}{d}+\frac{c}{a}+\frac{d}{b}=8\), what could be the value of \(\frac{a}{b}+\frac{c}{d}\)?

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