Input: Prime minister
The United Kingdom's constitution, being uncodified and largely unwritten, makes no mention of a prime minister. Though it had de facto existed for centuries, its first mention in official state documents did not occur until the first decade of the twentieth century. Accordingly, it is often said "not to exist", indeed there are several instances of parliament declaring this to be the case. The prime minister sits in the cabinet solely by virtue of occupying another office, either First Lord of the Treasury (office in commission), or more rarely Chancellor of the Exchequer (the last of whom was Balfour in 1905).

When was prime minister first mentioned in a government document in the UK?
Output: first decade of the twentieth century

Input: Appalachian Mountains
In Pennsylvania, there are over sixty summits that rise over 2,500 ft (800 m); the summits of Mount Davis and Blue Knob rise over 3,000 ft (900 m). In Maryland, Eagle Rock and Dans Mountain are conspicuous points reaching 3,162 ft (964 m) and 2,882 ft (878 m) respectively. On the same side of the Great Valley, south of the Potomac, are the Pinnacle 3,007 feet (917 m) and Pidgeon Roost 3,400 ft (1,000 m). In West Virginia, more than 150 peaks rise above 4,000 ft (1,200 m), including Spruce Knob 4,863 ft (1,482 m), the highest point in the Allegheny Mountains. A number of other points in the state rise above 4,800 ft (1,500 m). Snowshoe Mountain at Thorny Flat 4,848 ft (1,478 m) and Bald Knob 4,842 ft (1,476 m) are among the more notable peaks in West Virginia.

How tall are the summits of Mount Davis and Blue Knob?
Output: over 3,000 ft

Input: Ashkenazi Jews
Culturally, an Ashkenazi Jew can be identified by the concept of Yiddishkeit, which means "Jewishness" in the Yiddish language. Yiddishkeit is specifically the Jewishness of Ashkenazi Jews. Before the Haskalah and the emancipation of Jews in Europe, this meant the study of Torah and Talmud for men, and a family and communal life governed by the observance of Jewish Law for men and women. From the Rhineland to Riga to Romania, most Jews prayed in liturgical Ashkenazi Hebrew, and spoke Yiddish in their secular lives. But with modernization, Yiddishkeit now encompasses not just Orthodoxy and Hasidism, but a broad range of movements, ideologies, practices, and traditions in which Ashkenazi Jews have participated and somehow retained a sense of Jewishness. Although a far smaller number of Jews still speak Yiddish, Yiddishkeit can be identified in manners of speech, in styles of humor, in patterns of association. Broadly speaking, a Jew is one who associates culturally with Jews, supports Jewish institutions, reads Jewish books and periodicals, attends Jewish movies and theater, travels to Israel, visits historical synagogues, and so forth. It is a definition that applies to Jewish culture in general, and to Ashkenazi Yiddishkeit in particular.

What does Yiddishkeit mean in the Yiddish language?
Output: "Jewishness"

Input: Richard Feynman
He attained a perfect score on the graduate school entrance exams to Princeton University in mathematics and physicsan unprecedented featbut did rather poorly on the history and English portions. Attendees at Feynman's first seminar included Albert Einstein, Wolfgang Pauli, and John von Neumann. He received a PhD from Princeton in 1942; his thesis advisor was John Archibald Wheeler. Feynman's thesis applied the principle of stationary action to problems of quantum mechanics, inspired by a desire to quantize the WheelerFeynman absorber theory of electrodynamics, laying the groundwork for the "path integral" approach and Feynman diagrams, and was titled "The Principle of Least Action in Quantum Mechanics".

Which two sections of the graduate exam did Feynman excel in?
Output:
mathematics and physics