Problem:
Read the following paragraph and determine if the hypothesis is true:

Hello & Goodbye is the tenth and final studio album by the Christian pop group Jump5. The album includes a cover of the Beatles song "Hello Goodbye" which former Jump5 member Libby Hodges performs guest vocals on, a re-recorded version of "Throw Your Hands Up," and a recording of the Star Spangled Banner. It was in heavy rotation on Radio Disney.

OPTIONS:
- Yes
- It's impossible to say
- No
Hypothesis: Libby Hodges is no longer a member of the pop group Jump5.
****
Answer:
Yes
[Q]: Jeremy Lee Renner (born January 7, 1971) is an American actor. He appeared largely in independent films, such as "Dahmer" (2002) and "Neo Ned" (2005). Renner appeared in supporting roles in bigger films, such as "S.W.A.T." (2003) and "28 Weeks Later" (2007). He was nominated for the Academy Award for Best Supporting Actor for his much-praised performance in "The Town" (2010). He was nominated for his lead role in The Town. OPTIONS:
- Yes
- It's impossible to say
- No
[A]: No
Problem: Crying Baby<br>Sherry had a newborn baby. She didn't know how to stop the baby from crying. Sherry decided to go stay with her mother for a few days. Her mother gave her tips on caring for the baby. Sherry was able to keep the baby calm more often.

Based on the paragraph above can we conclude that "Sherry stayed with her mother for a month."? OPTIONS:
- Yes
- It's impossible to say
- No

A: No
Q: Torture played its role in the case file.
The source added that the investigation proved that the bases of the genocide crime "were completed with a series of illegal arrests followed in some cases with assassinations or cases of disappearances and were preceded, according to information attached to the file, by cases of torture."
OPTIONS:
- Yes
- It's impossible to say
- No
A: Yes
The Car<br>Taryn was out for a walk. She was trying to reduce her carbon footprint. She started walking instead of driving. Soon, she realized that she didn't need her car anymore. She sold it to her neighbor and started walking everywhere.
Taryn's neighbors were happy that she sold her car to them OPTIONS:
- Yes
- It's impossible to say
- No
A: It's impossible to say
Problem:
Read the following paragraph and determine if the hypothesis is true:

In mathematics, the VitaliCaratheodory theorem is a result in real analysis that shows that, under the conditions stated below, integrable functions can be approximated in L from above and below by lower- and upper-semicontinuous functions, respectively. It is named after Giuseppe Vitali and Constantin Caratheodory.

OPTIONS:
- Yes
- It's impossible to say
- No
Hypothesis: the VitaliCaratheodory theorem is a solution in real analysis
****
Answer:
Yes