
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 a real number \( x \), define \( \heartsuit(x) \) to be the average of \( x \) and \( x^2 \). Calculate \( \heartsuit(4) + \heartsuit(5) + \heartsuit(6) \).
**A)** 40  
**B)** 46  
**C)** 52  
**D)** 55  
**E)** 60

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