What is the residue modulo $16$ of the sum of the modulo $16$ inverses of the first $8$ positive odd integers?

Express your answer as an integer from $0$ to $15$, inclusive.
Question:
What is the residue modulo $16$ of the sum of the modulo $16$ inverses of the first $8$ positive odd integers?

Express your answer as an integer from $0$ to $15$, inclusive.
Answer:
Let's think step by step.

user
0
What is the residue modulo $16$ of the sum of the modulo $16$ inverses of the first $8$ positive odd integers?

Express your answer as an integer from $0$ to $15$, inclusive.
train