
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
A set of $m$ numbers has the sum $t$. Each number in the set is first increased by $10$, then squared, and finally decreased by $40$. What is the sum of the numbers in the new set thus created?
**A**. $20t + 60m$
**B**. $100t$
**C**. $10t + 40m$
**D**. $\sum_{i=1}^m y_i^2 + 20t + 60m$

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