
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
What is half of the number \( 2^{12}+3 \times 2^{10} \) ?  
(a) \( 2^{6}+3 \times 2^{5} \)  
(b) \( 2^{6}+3 \times 2^{10} \)  
(c) \( 2^{11}+3 \times 2^{5} \)  
(d) \( 2^{11} \times 7 \)  
(e) \( 2^{9} \times 7 \)

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