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Quantity A

The number of distinct prime factors of $$1,001^{1,001}$$

Quantity B

The number of distinct prime factors of $$210^{210}$$


What is the number of distinct prime factors of $$n$$?
$$n=13!+15!$$
How many multiples of $$5$$ are there from $$55$$ to $$505$$, inclusive?
How many positive two-digit integers are not divisible by $$4$$?
If the positive integer $$n$$ is divided by $$30$$, the remainder is $$5$$. Which of the following must be divisible by $$30$$?
A recent survey of 120 United States corporations found that a third of employees in blue-chip corporations wrote poorly in their electronic mail. Millions of these (i)________ e-mail messages are clogging computers by setting off requests for (ii)________, and many of the requests, in turn, are also (iii)________ written, resulting in whole cycles of confusion.
Because Earth' s atmosphere distorts astronomical observations, whatever tends to _______ its influence is dismaying to the astronomer.
For Year X, in how many of the six regions did grasses produce pollen for a period of less than three months?
For approximately what fraction of Year X was pollen produced by both grasses and weeds in the Southwest?
For Year X, which of the following is closest to the total length, in months, of the time period during which no pollen was produced by trees or grasses in any of the six regions?
Predators of herbivores can influence the structure and dynamics of plant communities in two ways: by reducing herbivore density or by modifying herbivore behavior. Whereas density-mediated effects generally affect all plants, behavioral effects often cause herbivores to change their relative use of different parts of their habitat. This can lead to a redistribution of herbivore damage on different plant species, for example, when plant-eating insects shift from preferred but risky plant species to less nutritious plants that offer refuge. A well-documented example involves predatory nursery-web spiders-a species that typically inhabits only the upper canopy of grasses. In systems where the spiders are present, grasshoppers shift their feeding activity toward ground level, thereby increasing the relative consumption of goldenrod over Kentucky bluegrass.
The passage suggests which of the following about grasshoppers?
The passage suggests which of the following about predators that modify herbivore behavior?
Study of the Hebraic literature of ancient Palestine may eventually be furthered by recent discoveries of manuscripts at another ancient Middle Eastern site, Ugarit (in modern Syria), despite the fact that Ugarit was destroyed at around the time Hebraic culture was first emerging and despite the differences between the Ugaritic and Hebraic languages. Though their languages were closer to each other than to other Semitic languages, speakers of Ugaritic would probably not have understood speakers of Hebrew, and vice versa. Yet the two cultures' respective literatures exhibit similarities, especially in their poetry, and particularly in their poems' structural patterns and rhetorical uses of repetition. These and other parallel poetic devices indicate that the two cultures shared a poetic heritage, but scholars do not yet know how the devices came to be shared and to what extent they were traditional in each culture. Answering such questions will require the discovery of unimpeachably authentic literary remains from the five centuries that separate the Ugaritic and the Hebrew texts.
It can be inferred that the author of the passage believes that the discovery of the "literary remains" might do which of the following?
Which of the following can be inferred from the passage regarding the literary texts discovered at Ugarit?
Information in the passage supports which of the following statements about Ugarit?
Musicologist: Music critics writing for the general public in the early nineteenth century in Paris routinely disparaged the symphonies and operas of the eighteenth-century composer Mozart. But it is likely that these works by Mozart were nevertheless very popular among ordinary Parisian concertgoers, since a significant proportion of the extant programs from large public concerts given in the early nineteenth century in Paris feature Mozart' s symphonies and operas.
Which of the following, if true, provides the most support for the musicologist' s argument?
Huron Indian culture in the seventeenth century valued conformity and strongly discouraged idiosyncratic behavior. Since few wished to endure dishonor or reproach, public criticism was often used effectively as a strong pressure for conformity. However, it is a fallacy to equate intolerance of idiosyncratic behavior with lack of respect for individual dignity. While most individuals attempted to live up to society' s ideals, they remained highly sensitive to the preservation of individual honor, and personal independence remained highly important. Overt attempts to coerce anyone were strongly opposed. And if such coercion came from outside a person' s clan, it was considered an affront to the clan, as well as to the individual. The individual' s right to be free from overt constraint was also reinforced by Huron custom and by the vigor with which each clan guarded its independence and privileges. Custom did not permit society as a whole to punish offenders. Responsibility for an individual' s actions was assumed by the individual' s own clan.

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