Problem: Group (mathematics):

To understand groups beyond the level of mere symbolic manipulations as above, more structural concepts have to be employed.c["] There is a conceptual principle underlying all of the following notions: to take advantage of the structure offered by groups (which sets, being "structureless", do not have), constructions related to groups have to be compatible with the group operation. This compatibility manifests itself in the following notions in various ways. For example, groups can be related to each other via functions called group homomorphisms. By the mentioned principle, they are required to respect the group structures in a precise sense. The structure of groups can also be understood by breaking them into pieces called subgroups and quotient groups. The principle of "preserving structures"a recurring topic in mathematics throughoutis an instance of working in a category, in this case the category of groups.

What is an example of a subgroup?
---
A: unanswerable

Problem: Education:

Informal learning usually takes place outside educational establishments, does not follow a specified curriculum and may originate accidentally, sporadically, in association with certain occasions, from changing practical requirements. It is not necessarily planned to be pedagogically conscious, systematic and according to subjects, but rather unconsciously incidental, holistically problem-related, and related to situation management and fitness for life. It is experienced directly in its "natural" function of everyday life and is often spontaneous.

What falls under the informal learning umbrella?
---
A: unconsciously incidental, holistically problem-related, and related to situation management

Problem: Affirmative action in the United States:

In the US, a prominent form of racial preferences relates to access to education, particularly admission to universities and other forms of higher education. Race, ethnicity, native language, social class, geographical origin, parental attendance of the university in question (legacy admissions), and/or gender are sometimes taken into account when the university assesses an applicant's grades and test scores. Individuals can also be awarded scholarships and have fees paid on the basis of criteria listed above. In 1978, the Supreme Court ruled in Bakke v. Regents that public universities (and other government institutions) could not set specific numerical targets based on race for admissions or employment. The Court said that "goals" and "timetables" for diversity could be set instead.

What is another term for kids who get preferential treatment due to their parents attending the same university?
---
A: legacy admissions

Problem: Red:

As a ray of white sunlight travels through the atmosphere to the eye, some of the colors are scattered out of the beam by air molecules and airborne particles due to Rayleigh scattering, changing the final color of the beam that is seen. Colors with a shorter wavelength, such as blue and green, scatter more strongly, and are removed from the light that finally reaches the eye. At sunrise and sunset, when the path of the sunlight through the atmosphere to the eye is longest, the blue and green components are removed almost completely, leaving the longer wavelength orange and red light. The remaining reddened sunlight can also be scattered by cloud droplets and other relatively large particles, which give the sky above the horizon its red glow.

In comparison to blue and green, what would describe the wavelength of orange or red light?
---
A:
longer