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: Alexis programmed her VCR to record for exactly 225 minutes. If it began recording at 9:05 A.M., at what time did it stop recording?
(A)11:30 AM (B)12:00 PM (C)12:30 PM (D)12:50 PM (E)1:00 PM
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 cost of a meal including a 20 percent tip is \$30. What was the cost of the meal before the tip was added?
(A)\$10.00 (B)\$24.00 (C)\$25.00 (D)\$29.80 (E)\$36.00
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: Janet produced 4 more paintings than three times the number of paintings Sam produced. Last year, Sam produced \(p\) paintings. Of the expressions below, which represents the number of paintings Janet produced last year?
(A)\(4 - 3p\) (B)\(4p - 3\) (C)\(4p + 3\) (D)\(3p - 4\) (E)\(3p + 4\)
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: If Duane were to give Gregg \$14, they would each have the same amount of money. If Duane has \$45, how much money does Gregg have?
(A)\$10 (B)\$17 (C)\$24 (D)\$31 (E)\$38
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: Kyanna used three pieces of ribbon, each 8 inches long, to make each hair bow for her craft project. Kyanna had a 200-foot spool of ribbon when she started. If no ribbon was wasted, which of the following represents the number of feet of ribbon that was left on the roll after she made g hair bows? (12 inches \(=\) 1 foot)
(A)\(200 - 8g\) (B)\(200 - 2g\) (C)\(200 - g\) (D)\(200 - \frac{1}{2}g\) (E)\(200 - \frac{1}{4}g\)
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: The number of instances of illness that a person has in one year is inversely proportional to the average (arithmetic mean) number of hours that person sleeps per night. If last year Lori slept an average of 8 hours per night and was ill 3 times, how many times would she have been ill if she had slept an average of 6 hours per night?
(A)2.25 (B)3 (C)3.5 (D)4 (E)4.75
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: Ahmed rolled an eight-sided polygon six times. Each face of the polygon has a number from 1-8 painted on it. No two numbers are repeated. Each roll yields one number face up. The first roll yields an even number. The second roll yields an odd number. The third roll yields the number 5. The fourth roll yields a number smaller than 4. The fifth roll yields the same number as the fourth roll. The sixth roll yields a number smaller than the fifth roll. Which of the following must be true?
(A)Ahmed could have rolled a 5 three times. (B)Ahmed could have rolled a 2 more frequently than he could have rolled any other numbers. (C)Ahmed rolled more odd numbers than even numbers. (D)Ahmed rolled a 3 at least once. (E)Ahmed rolled a 1 on four rolls.
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: A field contains 4,500 flowers that are either roses, daisies, or daffodils. If 18\% are daisies and 18\% are daffodils, what percent of flowers are roses?
(A)18\% (B)36\% (C)46\% (D)64\% (E)82\%
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: If an object travels at 5 feet per minute, how many feet does it travel in 2 seconds?
(A)120 (B)10 (C)\(\frac{2}{5}\) (D)\(\frac{1}{6}\) (E)\(\frac{1}{12}\)
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: If Jonas has already run 4 miles in a 20-mile race, what fraction of the race has he already run?
(A)\(\frac { 1 } { 80 } \) (B)\(\frac { 1 } { 24 } \) (C)\(\frac { 1 } { 8 } \) (D)\(\frac { 1 } { 6 } \) (E)\(\frac { 1 } { 5 } \)
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: Angelique invited 42 people to a conference. Of the invitees, 8 people declined, and the rest accepted. On the day of the conference, a snowstorm prevented half of those who accepted from making it to the conference. If no other people accepted or declined, what fraction of Angelique's original invitees attended the conference?
(A)\(\frac { 13 } { 42 } \) (B)\(\frac { 1 } { 3 } \) (C)\(\frac { 5 } { 14 } \) (D)\(\frac { 8 } { 21 } \) (E)\(\frac { 17 } { 42 } \)
Output: 


Answer: E