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: When the average (arithmetic mean) of a list of prices is multiplied by the number of prices, the result is n. What does n represent?
(A)The average of the prices (B)The number of prices (C)Half of the number of prices (D)The sum of the prices (E)Half of the sum of the prices
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 number of turtles in Mosquito Pond has doubled every three years since the pond was discovered. The number of turtles in the pond can be described as \(n = (x)2^{\frac{t}{3}}\), where t is the number of years since the pond was discovered, n is the number of turtles in the pond at time t, and x is the number of turtles in the pond when it was discovered. If there were 160 turtles in Mosquito Pond nine years after it was discovered, then how many turtles lived in the pond the year it was discovered?
(A)2 (B)10 (C)20 (D)40 (E)160
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 new airplane can travel at speeds up to 4,680 miles per hour. Assuming that the airplane is traveling at top speed, how many miles can it travel in 10 seconds?
(A)1.3 (B)7.8 (C)13 (D)78 (E)130
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: At a basketball tournament involving 8 teams, each team played 4 games with each of the other teams. How many games were played at this tournament?
(A)64 (B)98 (C)112 (D)128 (E)224
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 populations of two species of bacteria in a petri dish vary inversely. If there are 1,000 bacteria of species A when there are 500 bacteria of species B, how many bacteria of species B are there when there are 2,000 bacteria of species A ?
(A)250 (B)500 (C)750 (D)1,000 (E)2,000
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 class of 8 students had an average (arithmetic mean) test score of 76 on its first test. On the second test, all but two students received the same score as they did on the first test. One student received a 96 instead of a 72, and another received a 70 instead of a 62. What was the average score on the second test?
(A)80 (B)78 (C)76 (D)74 (E)72
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: Tameka cleans her house every 7 days and does laundry every 5 days. In the next 315 days, how many times will she have to clean her house and do laundry on the same day?
(A)9 (B)12 (C)26 (D)45 (E)63
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: After 4 new people entered the elevator and 2 people left the elevator, there were 2 times as many people as before. How many people were in the elevator before the changes?
(A)1 (B)2 (C)4 (D)6 (E)8
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 60 percent of Jared's jigsaw puzzles have 50 pieces and 40 percent of his jigsaw puzzles have 30 pieces each, what is the average (arithmetic mean) number of pieces per puzzle?
(A)36 (B)38 (C)40 (D)42 (E)44
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: On a map, 1 centimeter represents 6 kilometers. A square on the map with a perimeter of 16 centimeters represents a region with what area?
(A)\(64 km^2\) (B)\(96 km^2\) (C)\(256 km^2\) (D)\(576 km^2\) (E)\(8216 km^2\)
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: A train takes one hour longer to travel d miles at its normal speed than it would if it were traveling 10 miles faster. Which of following equations could represent the equation to find the train's normal speed \(s\), in miles per hour?
(A)\(\frac { d } { s + 10 } = s + 1\) (B)\(\frac { d } { s } = \frac { d } { s + 1 } \) (C)\(\frac { s } { s + 10 } = d\) (D)\(\frac { d } { s + 10 } - \frac { d } { s } = 1\) (E)\(\frac { d } { s } - \frac { d } { s + 10 } = 1\)
Output: 


Answer: E