
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 $x$ and $y$ the operation $\heartsuit(x,y)$ is defined as 
\[\heartsuit(x,y) = x + \dfrac{1}{y}\]
What is $\heartsuit(3,\heartsuit(3,3))$?
A) $\frac{31}{10}$ 
B) $\frac{32}{10}$ 
C) $\frac{33}{10}$ 
D) $\frac{34}{10}$ 
E) $\frac{35}{10}$

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