Please capitalize where necessary: if this conjecture were true (it has been shown to be false), then a general decision method would exist; namely, we systematically tile larger and larger square arrays of cells in every possible way with the given set of tiles.
A: If this conjecture were true (it has been shown to be false), then a general decision method would exist; namely, we systematically tile larger and larger square arrays of cells in every possible way with the given set of tiles.

Q: even if you are not satisfied, you can contact us and we will try to resolve your problem as soon as possible.

A: Even if you are not satisfied, you can contact us and we will try to resolve your problem as soon as possible.

Q: some suffer alderssynhet usual.
A: Some suffer alderssynhet usual.

Problem: its different rooms are equipped of all the essential to make your stay in barcelona an excellent moment.
Can you repeat this sentence, but capitalize it?
Answer: Its different rooms are equipped of all the essential to make your stay in Barcelona an excellent moment.

Text: use these two buttons to choose a stake between min and max limits specified above.

Correct capitalization: Use these two buttons to choose a stake between MIN and MAX limits specified above.

Please capitalize where necessary: your buddy will also let you know about other local activities and services you can enjoy.
A:
Your buddy will also let you know about other local activities and services you can enjoy.