
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
Given set A={x ∈ ℕ* | x mod 4 = 1, x ≤ 110}.
(1) Is 53 an element of set A? If so, what is its position when the elements of set A are arranged in ascending order?
(2) Calculate the sum of all elements in set A.

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