Lots-of-LoRAs/task118_semeval_2019_task10_open_vocabulary_mathematical_answer_generation huggingface dataset:
Definition: You are given a mathematical question described with an open-ended vocabulary. Questions in this task involve real-world situations, describing a mathematical problem. You are also given 4 or 5 answer options (associated with "A", "B", "C", "D", "E"). Do not generate anything else apart from one of the following characters: 'A', 'B, 'C', 'D', 'E'. LaTeX mathematical format (the standard way to express mathematical expressions in the typesetting software known as LaTeX) is used to express equations. Each question is solvable with high school math knowledge. Give only one answer for each question.

Positive Example 1 -
Input: John has y dollars to spend on some new CDs from Music Plus, an online record store. He can buy any CDs at the members' price of x dollars each. To be a member, John has to pay a one-time fee of $19. Which of the following expressions represents the number of CDs John can purchase from Music Plus?
(A)\(\frac{xy}{19}\) (B)\(\frac{y + 19}{x}\) (C)\(\frac{2y - x}{19}\) (D)\(\frac{y - 19}{x}\) (E)\(\frac{19 - x}{y}\)
Output: D

Positive Example 2 -
Input: There are four colors of lottery tickets in a hat. If \(\frac { 1 } { 10 } \) of the tickets in the hat are green, \(\frac { 1 } { 2 } \) are white, \(\frac { 1 } { 4 } \) are blue, and the remaining 30 tickets are pink, what is the number of blue tickets in the hat?
(A)25 (B)50 (C)75 (D)120 (E)200
Output: B

Negative Example 1 -
Input: There are four colors of lottery tickets in a hat. If \(\frac { 1 } { 10 } \) of the tickets in the hat are green, \(\frac { 1 } { 2 } \) are white, \(\frac { 1 } { 4 } \) are blue, and the remaining 30 tickets are pink, what is the number of blue tickets in the hat?
(A)25 (B)50 (C)75 (D)120 (E)200
Output: B,D

Now complete the following example -
Input: Phil's Phone Shop sells three models of cellular phones, priced at \$100, \$125, and \$225. In January, Phil sold exactly the same number of each model. What percent of the total income from the sales of cellular phones was attributable to sales of the cheapest model?
(A)\(22\frac { 2 } { 9 } \%\) (B)\(28\frac { 4 } { 7 } \%\) (C)\(33\frac { 1 } { 3 } \%\) (D)\(44\frac { 4 } { 9 } \%\) (E)It cannot be determined from the information given.
Output: 


Answer: A
Definition: You are given a mathematical question described with an open-ended vocabulary. Questions in this task involve real-world situations, describing a mathematical problem. You are also given 4 or 5 answer options (associated with "A", "B", "C", "D", "E"). Do not generate anything else apart from one of the following characters: 'A', 'B, 'C', 'D', 'E'. LaTeX mathematical format (the standard way to express mathematical expressions in the typesetting software known as LaTeX) is used to express equations. Each question is solvable with high school math knowledge. Give only one answer for each question.

Positive Example 1 -
Input: John has y dollars to spend on some new CDs from Music Plus, an online record store. He can buy any CDs at the members' price of x dollars each. To be a member, John has to pay a one-time fee of $19. Which of the following expressions represents the number of CDs John can purchase from Music Plus?
(A)\(\frac{xy}{19}\) (B)\(\frac{y + 19}{x}\) (C)\(\frac{2y - x}{19}\) (D)\(\frac{y - 19}{x}\) (E)\(\frac{19 - x}{y}\)
Output: D

Positive Example 2 -
Input: There are four colors of lottery tickets in a hat. If \(\frac { 1 } { 10 } \) of the tickets in the hat are green, \(\frac { 1 } { 2 } \) are white, \(\frac { 1 } { 4 } \) are blue, and the remaining 30 tickets are pink, what is the number of blue tickets in the hat?
(A)25 (B)50 (C)75 (D)120 (E)200
Output: B

Negative Example 1 -
Input: There are four colors of lottery tickets in a hat. If \(\frac { 1 } { 10 } \) of the tickets in the hat are green, \(\frac { 1 } { 2 } \) are white, \(\frac { 1 } { 4 } \) are blue, and the remaining 30 tickets are pink, what is the number of blue tickets in the hat?
(A)25 (B)50 (C)75 (D)120 (E)200
Output: B,D

Now complete the following example -
Input: A survey of all the students who attend Central Valley High School showed that there was an average (arithmetic mean) of 33.6 students per class room and and average of 22.4 electronic devices brought to class by students per classroom. If 4,200 students attend Central Valley High School, which of the following is the best estimate of the total number of electronic devices in the classrooms of Central Valley?
(A)1,680 (B)2,520 (C)2,800 (D)4,075 (E)6,300
Output: 


Answer: C
Definition: You are given a mathematical question described with an open-ended vocabulary. Questions in this task involve real-world situations, describing a mathematical problem. You are also given 4 or 5 answer options (associated with "A", "B", "C", "D", "E"). Do not generate anything else apart from one of the following characters: 'A', 'B, 'C', 'D', 'E'. LaTeX mathematical format (the standard way to express mathematical expressions in the typesetting software known as LaTeX) is used to express equations. Each question is solvable with high school math knowledge. Give only one answer for each question.

Positive Example 1 -
Input: John has y dollars to spend on some new CDs from Music Plus, an online record store. He can buy any CDs at the members' price of x dollars each. To be a member, John has to pay a one-time fee of $19. Which of the following expressions represents the number of CDs John can purchase from Music Plus?
(A)\(\frac{xy}{19}\) (B)\(\frac{y + 19}{x}\) (C)\(\frac{2y - x}{19}\) (D)\(\frac{y - 19}{x}\) (E)\(\frac{19 - x}{y}\)
Output: D

Positive Example 2 -
Input: There are four colors of lottery tickets in a hat. If \(\frac { 1 } { 10 } \) of the tickets in the hat are green, \(\frac { 1 } { 2 } \) are white, \(\frac { 1 } { 4 } \) are blue, and the remaining 30 tickets are pink, what is the number of blue tickets in the hat?
(A)25 (B)50 (C)75 (D)120 (E)200
Output: B

Negative Example 1 -
Input: There are four colors of lottery tickets in a hat. If \(\frac { 1 } { 10 } \) of the tickets in the hat are green, \(\frac { 1 } { 2 } \) are white, \(\frac { 1 } { 4 } \) are blue, and the remaining 30 tickets are pink, what is the number of blue tickets in the hat?
(A)25 (B)50 (C)75 (D)120 (E)200
Output: B,D

Now complete the following example -
Input: A supermarket buys cartons of orange juice for k dollars each and then sells them for \(\frac{4k}{3}\) dollars each. How many cartons does it need to sell to make a profit of $2,000?
(A)\(\frac{2,000}{k}\) (B)\(\frac{6,000}{k}\) (C)\(\frac{k}{2,000}\) (D)\(\frac{k}{6,000}\) (E)6,000k
Output: 


Answer: B
Definition: You are given a mathematical question described with an open-ended vocabulary. Questions in this task involve real-world situations, describing a mathematical problem. You are also given 4 or 5 answer options (associated with "A", "B", "C", "D", "E"). Do not generate anything else apart from one of the following characters: 'A', 'B, 'C', 'D', 'E'. LaTeX mathematical format (the standard way to express mathematical expressions in the typesetting software known as LaTeX) is used to express equations. Each question is solvable with high school math knowledge. Give only one answer for each question.

Positive Example 1 -
Input: John has y dollars to spend on some new CDs from Music Plus, an online record store. He can buy any CDs at the members' price of x dollars each. To be a member, John has to pay a one-time fee of $19. Which of the following expressions represents the number of CDs John can purchase from Music Plus?
(A)\(\frac{xy}{19}\) (B)\(\frac{y + 19}{x}\) (C)\(\frac{2y - x}{19}\) (D)\(\frac{y - 19}{x}\) (E)\(\frac{19 - x}{y}\)
Output: D

Positive Example 2 -
Input: There are four colors of lottery tickets in a hat. If \(\frac { 1 } { 10 } \) of the tickets in the hat are green, \(\frac { 1 } { 2 } \) are white, \(\frac { 1 } { 4 } \) are blue, and the remaining 30 tickets are pink, what is the number of blue tickets in the hat?
(A)25 (B)50 (C)75 (D)120 (E)200
Output: B

Negative Example 1 -
Input: There are four colors of lottery tickets in a hat. If \(\frac { 1 } { 10 } \) of the tickets in the hat are green, \(\frac { 1 } { 2 } \) are white, \(\frac { 1 } { 4 } \) are blue, and the remaining 30 tickets are pink, what is the number of blue tickets in the hat?
(A)25 (B)50 (C)75 (D)120 (E)200
Output: B,D

Now complete the following example -
Input: Bill has to type a paper that is p pages long, in which each page contains w words. If Bill types an average of x words per minute, how many hours will it take him to finish the paper?
(A)\(\frac{wp}{60x}\) (B)\(\frac{wpx}{60}\) (C)\(\frac{60wp}{x}\) (D)\(\frac{wx}{60p}\) (E)60wpx
Output: 


Answer: A
Definition: You are given a mathematical question described with an open-ended vocabulary. Questions in this task involve real-world situations, describing a mathematical problem. You are also given 4 or 5 answer options (associated with "A", "B", "C", "D", "E"). Do not generate anything else apart from one of the following characters: 'A', 'B, 'C', 'D', 'E'. LaTeX mathematical format (the standard way to express mathematical expressions in the typesetting software known as LaTeX) is used to express equations. Each question is solvable with high school math knowledge. Give only one answer for each question.

Positive Example 1 -
Input: John has y dollars to spend on some new CDs from Music Plus, an online record store. He can buy any CDs at the members' price of x dollars each. To be a member, John has to pay a one-time fee of $19. Which of the following expressions represents the number of CDs John can purchase from Music Plus?
(A)\(\frac{xy}{19}\) (B)\(\frac{y + 19}{x}\) (C)\(\frac{2y - x}{19}\) (D)\(\frac{y - 19}{x}\) (E)\(\frac{19 - x}{y}\)
Output: D

Positive Example 2 -
Input: There are four colors of lottery tickets in a hat. If \(\frac { 1 } { 10 } \) of the tickets in the hat are green, \(\frac { 1 } { 2 } \) are white, \(\frac { 1 } { 4 } \) are blue, and the remaining 30 tickets are pink, what is the number of blue tickets in the hat?
(A)25 (B)50 (C)75 (D)120 (E)200
Output: B

Negative Example 1 -
Input: There are four colors of lottery tickets in a hat. If \(\frac { 1 } { 10 } \) of the tickets in the hat are green, \(\frac { 1 } { 2 } \) are white, \(\frac { 1 } { 4 } \) are blue, and the remaining 30 tickets are pink, what is the number of blue tickets in the hat?
(A)25 (B)50 (C)75 (D)120 (E)200
Output: B,D

Now complete the following example -
Input: There are y sculptures in a gallery. If one is to be selected at random from the collection, the probability that a bronze statue will be selected is \(\frac { 2 } { 5 } \). In terms of \(y\), how many of the sculptures are bronze statues?
(A)\(\frac { y } { 5 } \) (B)\(\frac { 2y } { 5 } \) (C)\(\frac { 5y } { 2 } \) (D)\(\frac { 7y } { 5 } \) (E)\(5y\)
Output: 


Answer: B
Definition: You are given a mathematical question described with an open-ended vocabulary. Questions in this task involve real-world situations, describing a mathematical problem. You are also given 4 or 5 answer options (associated with "A", "B", "C", "D", "E"). Do not generate anything else apart from one of the following characters: 'A', 'B, 'C', 'D', 'E'. LaTeX mathematical format (the standard way to express mathematical expressions in the typesetting software known as LaTeX) is used to express equations. Each question is solvable with high school math knowledge. Give only one answer for each question.

Positive Example 1 -
Input: John has y dollars to spend on some new CDs from Music Plus, an online record store. He can buy any CDs at the members' price of x dollars each. To be a member, John has to pay a one-time fee of $19. Which of the following expressions represents the number of CDs John can purchase from Music Plus?
(A)\(\frac{xy}{19}\) (B)\(\frac{y + 19}{x}\) (C)\(\frac{2y - x}{19}\) (D)\(\frac{y - 19}{x}\) (E)\(\frac{19 - x}{y}\)
Output: D

Positive Example 2 -
Input: There are four colors of lottery tickets in a hat. If \(\frac { 1 } { 10 } \) of the tickets in the hat are green, \(\frac { 1 } { 2 } \) are white, \(\frac { 1 } { 4 } \) are blue, and the remaining 30 tickets are pink, what is the number of blue tickets in the hat?
(A)25 (B)50 (C)75 (D)120 (E)200
Output: B

Negative Example 1 -
Input: There are four colors of lottery tickets in a hat. If \(\frac { 1 } { 10 } \) of the tickets in the hat are green, \(\frac { 1 } { 2 } \) are white, \(\frac { 1 } { 4 } \) are blue, and the remaining 30 tickets are pink, what is the number of blue tickets in the hat?
(A)25 (B)50 (C)75 (D)120 (E)200
Output: B,D

Now complete the following example -
Input: Serena has three photographs from Brazil - a 1andscape, a street scene, and a portrait. She also has three photographs from Kenya - a landscape, a street scene and a portrait - and three photographs from Istanbul: a landscape, a street scene, and a portrait. Serena wants to display three photographs: one landscape, one street scene, and one portrait, and also wants to use one each from Brazil, Kenya, and Istanbul. How many different possibilities does she have?
(A)1 (B)3 (C)6 (D)9 (E)27
Output: 


Answer: C
Definition: You are given a mathematical question described with an open-ended vocabulary. Questions in this task involve real-world situations, describing a mathematical problem. You are also given 4 or 5 answer options (associated with "A", "B", "C", "D", "E"). Do not generate anything else apart from one of the following characters: 'A', 'B, 'C', 'D', 'E'. LaTeX mathematical format (the standard way to express mathematical expressions in the typesetting software known as LaTeX) is used to express equations. Each question is solvable with high school math knowledge. Give only one answer for each question.

Positive Example 1 -
Input: John has y dollars to spend on some new CDs from Music Plus, an online record store. He can buy any CDs at the members' price of x dollars each. To be a member, John has to pay a one-time fee of $19. Which of the following expressions represents the number of CDs John can purchase from Music Plus?
(A)\(\frac{xy}{19}\) (B)\(\frac{y + 19}{x}\) (C)\(\frac{2y - x}{19}\) (D)\(\frac{y - 19}{x}\) (E)\(\frac{19 - x}{y}\)
Output: D

Positive Example 2 -
Input: There are four colors of lottery tickets in a hat. If \(\frac { 1 } { 10 } \) of the tickets in the hat are green, \(\frac { 1 } { 2 } \) are white, \(\frac { 1 } { 4 } \) are blue, and the remaining 30 tickets are pink, what is the number of blue tickets in the hat?
(A)25 (B)50 (C)75 (D)120 (E)200
Output: B

Negative Example 1 -
Input: There are four colors of lottery tickets in a hat. If \(\frac { 1 } { 10 } \) of the tickets in the hat are green, \(\frac { 1 } { 2 } \) are white, \(\frac { 1 } { 4 } \) are blue, and the remaining 30 tickets are pink, what is the number of blue tickets in the hat?
(A)25 (B)50 (C)75 (D)120 (E)200
Output: B,D

Now complete the following example -
Input: After 21 students were added to a class, there were four times as many students as before. How many students were in the class before the addition?
(A)3 (B)7 (C)11 (D)14 (E)17
Output: 


Answer: B
Definition: You are given a mathematical question described with an open-ended vocabulary. Questions in this task involve real-world situations, describing a mathematical problem. You are also given 4 or 5 answer options (associated with "A", "B", "C", "D", "E"). Do not generate anything else apart from one of the following characters: 'A', 'B, 'C', 'D', 'E'. LaTeX mathematical format (the standard way to express mathematical expressions in the typesetting software known as LaTeX) is used to express equations. Each question is solvable with high school math knowledge. Give only one answer for each question.

Positive Example 1 -
Input: John has y dollars to spend on some new CDs from Music Plus, an online record store. He can buy any CDs at the members' price of x dollars each. To be a member, John has to pay a one-time fee of $19. Which of the following expressions represents the number of CDs John can purchase from Music Plus?
(A)\(\frac{xy}{19}\) (B)\(\frac{y + 19}{x}\) (C)\(\frac{2y - x}{19}\) (D)\(\frac{y - 19}{x}\) (E)\(\frac{19 - x}{y}\)
Output: D

Positive Example 2 -
Input: There are four colors of lottery tickets in a hat. If \(\frac { 1 } { 10 } \) of the tickets in the hat are green, \(\frac { 1 } { 2 } \) are white, \(\frac { 1 } { 4 } \) are blue, and the remaining 30 tickets are pink, what is the number of blue tickets in the hat?
(A)25 (B)50 (C)75 (D)120 (E)200
Output: B

Negative Example 1 -
Input: There are four colors of lottery tickets in a hat. If \(\frac { 1 } { 10 } \) of the tickets in the hat are green, \(\frac { 1 } { 2 } \) are white, \(\frac { 1 } { 4 } \) are blue, and the remaining 30 tickets are pink, what is the number of blue tickets in the hat?
(A)25 (B)50 (C)75 (D)120 (E)200
Output: B,D

Now complete the following example -
Input: Heidi wrote the number 1 on 1 slip of paper, the number 2 on 2 slips of paper, the number 3 on 3 slips of paper, the number 4 on 4 slips of paper, the number 5 on 5 slips of paper, and the number 6 on 6 slips of paper. All the slips of paper were placed in a bag, and Sally drew 1 slip at random. What is the probability that the number on the slip Sally drew was odd?
(A)\(\frac { 1 } { 9 } \) (B)\(\frac { 1 } { 7 } \) (C)\(\frac { 3 } { 7 } \) (D)\(\frac { 1 } { 2 } \) (E)\(\frac { 4 } { 7 } \)
Output: 


Answer: C
Definition: You are given a mathematical question described with an open-ended vocabulary. Questions in this task involve real-world situations, describing a mathematical problem. You are also given 4 or 5 answer options (associated with "A", "B", "C", "D", "E"). Do not generate anything else apart from one of the following characters: 'A', 'B, 'C', 'D', 'E'. LaTeX mathematical format (the standard way to express mathematical expressions in the typesetting software known as LaTeX) is used to express equations. Each question is solvable with high school math knowledge. Give only one answer for each question.

Positive Example 1 -
Input: John has y dollars to spend on some new CDs from Music Plus, an online record store. He can buy any CDs at the members' price of x dollars each. To be a member, John has to pay a one-time fee of $19. Which of the following expressions represents the number of CDs John can purchase from Music Plus?
(A)\(\frac{xy}{19}\) (B)\(\frac{y + 19}{x}\) (C)\(\frac{2y - x}{19}\) (D)\(\frac{y - 19}{x}\) (E)\(\frac{19 - x}{y}\)
Output: D

Positive Example 2 -
Input: There are four colors of lottery tickets in a hat. If \(\frac { 1 } { 10 } \) of the tickets in the hat are green, \(\frac { 1 } { 2 } \) are white, \(\frac { 1 } { 4 } \) are blue, and the remaining 30 tickets are pink, what is the number of blue tickets in the hat?
(A)25 (B)50 (C)75 (D)120 (E)200
Output: B

Negative Example 1 -
Input: There are four colors of lottery tickets in a hat. If \(\frac { 1 } { 10 } \) of the tickets in the hat are green, \(\frac { 1 } { 2 } \) are white, \(\frac { 1 } { 4 } \) are blue, and the remaining 30 tickets are pink, what is the number of blue tickets in the hat?
(A)25 (B)50 (C)75 (D)120 (E)200
Output: B,D

Now complete the following example -
Input: A local store donated some markers to Mrs. Kettz's fourth-grade class. If each student takes 2 markers, there will be 16 markers left. If 4 students do not take any markers and the rest of the students take 6 markers, there will be no markers left. How many markers were donated to the class?
(A)24 (B)30 (C)36 (D)40 (E)48
Output: 


Answer: C
Definition: You are given a mathematical question described with an open-ended vocabulary. Questions in this task involve real-world situations, describing a mathematical problem. You are also given 4 or 5 answer options (associated with "A", "B", "C", "D", "E"). Do not generate anything else apart from one of the following characters: 'A', 'B, 'C', 'D', 'E'. LaTeX mathematical format (the standard way to express mathematical expressions in the typesetting software known as LaTeX) is used to express equations. Each question is solvable with high school math knowledge. Give only one answer for each question.

Positive Example 1 -
Input: John has y dollars to spend on some new CDs from Music Plus, an online record store. He can buy any CDs at the members' price of x dollars each. To be a member, John has to pay a one-time fee of $19. Which of the following expressions represents the number of CDs John can purchase from Music Plus?
(A)\(\frac{xy}{19}\) (B)\(\frac{y + 19}{x}\) (C)\(\frac{2y - x}{19}\) (D)\(\frac{y - 19}{x}\) (E)\(\frac{19 - x}{y}\)
Output: D

Positive Example 2 -
Input: There are four colors of lottery tickets in a hat. If \(\frac { 1 } { 10 } \) of the tickets in the hat are green, \(\frac { 1 } { 2 } \) are white, \(\frac { 1 } { 4 } \) are blue, and the remaining 30 tickets are pink, what is the number of blue tickets in the hat?
(A)25 (B)50 (C)75 (D)120 (E)200
Output: B

Negative Example 1 -
Input: There are four colors of lottery tickets in a hat. If \(\frac { 1 } { 10 } \) of the tickets in the hat are green, \(\frac { 1 } { 2 } \) are white, \(\frac { 1 } { 4 } \) are blue, and the remaining 30 tickets are pink, what is the number of blue tickets in the hat?
(A)25 (B)50 (C)75 (D)120 (E)200
Output: B,D

Now complete the following example -
Input: In a jar of cookies, \(\frac { 1 } { 8 } \) of the cookies are oatmeal raisin, \(\frac { 1 } { 4 } \) are peanut butter, \(\frac { 1 } { 2 } \) are chocolate chip, and the remaining 12 cookies are mint. How many peanut butter cookies are in the jar?
(A)24 (B)28 (C)32 (D)48 (E)50
Output: 


Answer: A
Definition: You are given a mathematical question described with an open-ended vocabulary. Questions in this task involve real-world situations, describing a mathematical problem. You are also given 4 or 5 answer options (associated with "A", "B", "C", "D", "E"). Do not generate anything else apart from one of the following characters: 'A', 'B, 'C', 'D', 'E'. LaTeX mathematical format (the standard way to express mathematical expressions in the typesetting software known as LaTeX) is used to express equations. Each question is solvable with high school math knowledge. Give only one answer for each question.

Positive Example 1 -
Input: John has y dollars to spend on some new CDs from Music Plus, an online record store. He can buy any CDs at the members' price of x dollars each. To be a member, John has to pay a one-time fee of $19. Which of the following expressions represents the number of CDs John can purchase from Music Plus?
(A)\(\frac{xy}{19}\) (B)\(\frac{y + 19}{x}\) (C)\(\frac{2y - x}{19}\) (D)\(\frac{y - 19}{x}\) (E)\(\frac{19 - x}{y}\)
Output: D

Positive Example 2 -
Input: There are four colors of lottery tickets in a hat. If \(\frac { 1 } { 10 } \) of the tickets in the hat are green, \(\frac { 1 } { 2 } \) are white, \(\frac { 1 } { 4 } \) are blue, and the remaining 30 tickets are pink, what is the number of blue tickets in the hat?
(A)25 (B)50 (C)75 (D)120 (E)200
Output: B

Negative Example 1 -
Input: There are four colors of lottery tickets in a hat. If \(\frac { 1 } { 10 } \) of the tickets in the hat are green, \(\frac { 1 } { 2 } \) are white, \(\frac { 1 } { 4 } \) are blue, and the remaining 30 tickets are pink, what is the number of blue tickets in the hat?
(A)25 (B)50 (C)75 (D)120 (E)200
Output: B,D

Now complete the following example -
Input: If \(\frac { 5 } { 9 } \) of the members of the school chorus are boys, what is the ratio of girls to boys in the chorus ?
(A)\(\frac { 4 } { 9 } \) (B)\(\frac { 4 } { 5 } \) (C)\(\frac { 5 } { 4 } \) (D)\(\frac { 9 } { 4 } \) (E)\(\frac { 14 } { 5 } \)
Output: 


Answer: B