
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
Evaluate the expression \[ \frac{a+5}{a+3} \cdot \frac{b-2}{b-3} \cdot \frac{c + 7}{c+10} \cdot \frac{d-4}{d+1}, \] given that \(d = c+1\), \(c = b-8\), \(b = a+4\), \(a = 7\), and none of the denominators are zero.

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