
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 \[ \frac{a+3}{a+2} \times \frac{b-2}{b-4} \times \frac{c+9}{c+5} \times \frac{d+1}{d-3}, \] given that \(d = a + 5\), \(c = b-8\), \(b = a + 3\), and \(a = 3\), ensuring none of the denominators are zero.

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