
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
Define the operation "plus the reciprocal of," denoted by $a \diamond b = a + \frac{1}{b}$. Evaluate $((3 \diamond 4) \diamond 5) - (3 \diamond (4 \diamond 5))$.
**A)** $\frac{87}{420}$  
**B)** $\frac{88}{420}$  
**C)** $\frac{90}{420}$  
**D)** $\frac{89}{420}$  
**E)** $\frac{91}{420}$

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