[Q]: How does the sentence end?

The math department at the school excelled, while the history department floundered, as the district put massive funds into the 
OPTIONS:
- math department.
- history department.

[A]: math department.
QUES: Continue writing.

Lindsey knew all their neighbors well, but Samantha did not, since 

OPTIONS:
- Lindsey had lived in the community since last month.
- Samantha had lived in the community since last month.
+++++++++
ANS: Samantha had lived in the community since last month.
Problem: How does the sentence end?

Matthew put copper insulation in their pipes while Robert didn't, so 
OPTIONS:
- Matthew 's pipe were dirty.
- Robert 's pipe were dirty.
Answer: Robert 's pipe were dirty.
sentence: The chef tried to store the powders in the bags but the  OPTIONS:
- bags were too small.
- powders were too small.
complete: bags were too small.
She had a lower back pain but her headache was gone, so the 
OPTIONS:
- lower back problem was bothering her.
- headache problem was bothering her.
lower back problem was bothering her.
Problem: Continue the following story.

Monica did all they could to prevent Sarah from going, but 
OPTIONS:
- Monica was unwilling to stop.
- Sarah was unwilling to stop.
Here's how I want to continue it:
Sarah was unwilling to stop.