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: Let X represent the average (arithmetic mean) of a list of test scores. What is the result of multiplying X by the number of scores?
(A)The average of the scores (B)The highest score (C)The number of scores (D)The number of possible scores (E)The sum of the scores
Output: 


Answer: E
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: Nora has 10 fewer than twice the number of CDs that Deborah has. If n represents the number of Nora's CDs, and d represents the number of Deborah's CDs, which of the following is a correct equation relating n and d ?
(A)\(n = 2d - 10\) (B)\(n = 2(d - 10)\) (C)\(n = 10 - 2d\) (D)\(n = 2(10 - d)\) (E)\(n = 10 - (d +2)\)
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 nine classrooms in a particular school. Each classroom has at least 24 students and at most 30 students. Which of the following could be the total number of students in the school?
(A)90 (B)100 (C)200 (D)250 (E)300
Output: 


Answer: D
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: Maja has the following scores on 7 quizzes in French class: 81,76,80,84,78,91,84. What was the median score of her French quizzes?
(A)78 (B)81 (C)82 (D)83 (E)84
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: In 2000, the cost of p pounds of potatoes was d dollars. In 2010, the cost of 2p pounds of potatoes was \(\frac { 1 } { 2 } d\) dollars. By what percent did the price of potatoes decrease from 2000 to 2010?
(A)25\% (B)50\% (C)75\% (D)100\% (E)400\%
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: If a mixture of nuts consists of 3 pounds of peanuts, I pound of walnuts, and 5 pounds of cashews, by weight, what fraction of the mixture is peanuts?
(A)\(\frac { 1 } { 9 } \) (B)\(\frac { 1 } { 5 } \) (C)\(\frac { 1 } { 3 } \) (D)\(\frac { 3 } { 8 } \) (E)\(\frac { 1 } { 2 } \)
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: Stephan takes 240 minutes to draw 20 pictures. Pavel draws three times as fast as Stephan. How many pictures can Pavel draw in 6 hours?
(A)30 (B)40 (C)60 (D)90 (E)120
Output: 


Answer: D
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: The weights, in kilograms, of five students are 48, 56, 61, 52, and 57. If 1 kilogram = 2.2 pounds, how many of the students weigh over 120 pounds?
(A)1 (B)2 (C)3 (D)4 (E)5
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: The number of baseball cards in Caleb's collection doubles every three months. If after 9 months he has b baseball cards, then which of the following is an expression for the number of baseball cards in his collection after y years?
(A)\(2^yb\) (B)\(2^ { 4y - 3 } b\) (C)\(2^ { 4y } b\) (D)\(2b^ { 4y + 3 } \) (E)\(2^yb^ { y + 2 } \)
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: If Maurice has $80, and he spends $32.45 on clothes and gives $27.55 to his sister, what fraction of the original $80 does Maurice have left?
(A)\(\frac{1}{5}\) (B)\(\frac{1}{4}\) (C)\(\frac{3}{10}\) (D)\(\frac{1}{2}\) (E)\(\frac{3}{5}\)
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: Beth has twice as many baseball cards as Bruce. If Beth has \(b\) cards, how many cards does Bruce have?
(A)\(2b\) (B)\(b^2\) (C)\(\frac { b } { 2 } \) (D)\(\frac { 2 } { b } \) (E)\(b + 2\)
Output: 


Answer: C