Problem: Religion in ancient Rome:

Public religion took place within a sacred precinct that had been marked out ritually by an augur. The original meaning of the Latin word templum was this sacred space, and only later referred to a building. Rome itself was an intrinsically sacred space; its ancient boundary (pomerium) had been marked by Romulus himself with oxen and plough; what lay within was the earthly home and protectorate of the gods of the state. In Rome, the central references for the establishment of an augural templum appear to have been the Via Sacra (Sacred Way) and the pomerium. Magistrates sought divine opinion of proposed official acts through an augur, who read the divine will through observations made within the templum before, during and after an act of sacrifice. Divine disapproval could arise through unfit sacrifice, errant rites (vitium) or an unacceptable plan of action. If an unfavourable sign was given, the magistrate could repeat the sacrifice until favourable signs were seen, consult with his augural colleagues, or abandon the project. Magistrates could use their right of augury (ius augurum) to adjourn and overturn the process of law, but were obliged to base their decision on the augur's observations and advice. For Cicero, himself an augur, this made the augur the most powerful authority in the Late Republic. By his time (mid 1st century BC) augury was supervised by the college of pontifices, whose powers were increasingly woven into the magistracies of the cursus honorum.

What did augers seek to understand through observances?
---
A: divine will

Problem: Wood:

Wood has a long history of being used as fuel, which continues to this day, mostly in rural areas of the world. Hardwood is preferred over softwood because it creates less smoke and burns longer. Adding a woodstove or fireplace to a home is often felt to add ambiance and warmth.

What type of wood is preferred as fuel?
---
A: Hardwood

Problem: Group (mathematics):

In the example above, the identity and the rotations constitute a subgroup R = {id, r1, r2, r3}, highlighted in red in the group table above: any two rotations composed are still a rotation, and a rotation can be undone by (i.e. is inverse to) the complementary rotations 270 for 90, 180 for 180, and 90 for 270 (note that rotation in the opposite direction is not defined). The subgroup test is a necessary and sufficient condition for a subset H of a group G to be a subgroup: it is sufficient to check that g1h H for all elements g, h H. Knowing the subgroups is important in understanding the group as a whole.d["]

What rotation can a rotation be reversed by?
---
A: inverse

Problem: Dialect:

Another occasionally used criterion for discriminating dialects from languages is that of linguistic authority, a more sociolinguistic notion. According to this definition, two varieties are considered dialects of the same language if (under at least some circumstances) they would defer to the same authority regarding some questions about their language. For instance, to learn the name of a new invention, or an obscure foreign species of plant, speakers of Bavarian German and East Franconian German might each consult a German dictionary or ask a German-speaking expert in the subject. By way of contrast, although Yiddish is classified by linguists as a language in the "Middle High German" group of languages, a Yiddish speaker would not consult a German dictionary to determine the word to use in such a case.

Under the linguistic authority criteria, what is a dialect of German along with Bavarian German?
---
A:
East Franconian German