
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
Consider the operation "minus the reciprocal of," defined by $a\diamond b=a-\frac{1}{b}$. Calculate $((1\diamond3)\diamond2)-(1\diamond(3\diamond2))$.
A) -$\frac{13}{30}$
B) -$\frac{1}{5}$
C) $\frac{1}{15}$
D) $\frac{1}{12}$
E) $\frac{5}{12}$

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