
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 positive numbers $a$ and $b$, define the operation $\heartsuit(a, b) = a + \frac{1}{b}$.
What is $\heartsuit(3,\heartsuit(3, 3))$?
A) $\frac{93}{30}$
B) $\frac{33}{9}$
C) $\frac{33}{10}$
D) $\frac{31}{10}$
E) $3$

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