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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 value of 10 pounds of gold is \(d\) dollars and a pound of gold has the same value as \(p\) pounds of silver. what is the value in dollars, of one pound of silver?
(A)\(\frac { \sqrt { d } } { 10p } \) (B)\(\frac { \sqrt { 10p } } { d } \) (C)\(\frac { \sqrt { dp } } { 10 } \) (D)\(\frac { \sqrt { p } } { 10d } \) (E)\(\frac { \sqrt { 10d } } { p } \)
Output:
| [
"A"
] | task118-46535fb295dc49e79d998fabd713b792 |
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: Thirty years ago, Mr. and Mrs. Lopez purchased a house. On average, the value of the house has doubled every 6 years. If the house is worth \$320,000 today, what did they pay for it 30 years ago?
(A)\$5,000 (B)\$10,000 (C)\$64,000 (D)\$160,000 (E)\(\$320,000 \times 2^5\)
Output:
| [
"B"
] | task118-6171cbb65bb24f9f81935841a0dcef09 |
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: One box of muffin mix is sufficient to bake six large muffins or ten mini- muffins. How many boxes are needed to bake 180 muffins, 120 of which are large muffins and the rest of which are mini-muffins?
(A)18 (B)20 (C)22 (D)26 (E)28
Output:
| [
"D"
] | task118-f9684df9c15b4aafab53ed8994615ff6 |
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 two coins are selected from a collection consisting of 2 pennies, 2 nickels, 2 dimes, and 2 quarters, how many different sums are possible?
(A)10 (B)16 (C)24 (D)36 (E)72
Output:
| [
"A"
] | task118-93b7d8a00d8249919d99d185b6d05a65 |
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 bookseller's net profit, in dollars, from the sale of b books is given by \(P(b) = 2.5b - 100\). How many books must she sell in order to earn a net profit of $225?
(A)130 (B)225 (C)331 (D)463 (E)563
Output:
| [
"A"
] | task118-d645840289f344bc9edba82af4d05d8b |
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: Patty uses 2 gallons of paint to cover 875 square feet of surface. At this rate, how many gallons will she need to cover 4,375 square feet of surface?
(A)4 (B)5 (C)8 (D)10 (E)15
Output:
| [
"D"
] | task118-cecbc50110744267ad711b4cbcb318b7 |
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 lacrosse team raised some money. The me used 74\% of the money to buy uniforms, 18\% to buy equipment, and the remaining \$216 for a team party. How much money did they raise?
(A)\$2400 (B)\$2450 (C)\$2500 (D)\$2600 (E)\$2700
Output:
| [
"E"
] | task118-8899acaf0dfc49459cc45c416fc16ef7 |
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 class, 20 children were sharing equally the cost of a present for their teacher. When 4 of the children decided not to contribute, each of the other children had to pay \$1.50 more. How much, in dollars, did the present cost?
(A)50 (B)80 (C)100 (D)120 (E)150
Output:
| [
"D"
] | task118-6f5b33c050b74cf188fb77aa259644f6 |
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 certain pump can drain a full 375-gallon tank in 15 minutes. At this rate, how many more minutes would it take to drain a full 600-gallon tank?
(A)9 (B)15 (C)18 (D)24 (E)25
Output:
| [
"A"
] | task118-df1f2c080d6f478cb14cfcbca8bd3779 |
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 for coal from a certain company is \$15 for the first pound plus \$6 for each additional pound of coal. Which of the following functions gives the total cost, in dollars, for p pounds of coal?
(A)\(C(p) = 6p - 15\) (B)\(C(p) = 6p - 9\) (C)\(C(p) = 6p\) (D)\(C(p) = 6p + 9\) (E)\(C(p) = 6p + 15\)
Output:
| [
"D"
] | task118-18ecb386c4bb4c108b1f484d64be0756 |
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, at a certain clothing store, three pairs of dress socks and four pairs of athletic socks cost a total of \$27 and four pairs of dress socks and three pairs of athletic socks cost a total of \$29, what is the combined cost of one pair of dress socks and one pair of athletic socks?
(A)\$26 (B)\$28 (C)\$16 (D)\$8 (E)\$2
Output:
| [
"D"
] | task118-f85c29ec6d3240bdba65b492e8efff72 |
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: Jeweler A can set an average round-cut diamond in 20 minutes. Jeweler B requires 15 minutes to set the same type of diamond. In 8 hours, how many more diamonds can be set by Jeweler B than by Jeweler A?
(A)40 (B)24 (C)16 (D)8 (E)1
Output:
| [
"D"
] | task118-4c507103d5994f259798e7b24957d7fa |
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 Anthony had 3 times as many marbles as he actually has, he would have 5 as many marbles as Billy has. What is the ratio of the number of marbles Anthony has to the number of marbles Billy has?
(A)1 : 9 (B)1 : 3 (C)1 : 1 (D)3 : 1 (E)9 : 1
Output:
| [
"A"
] | task118-fccd7b1c60154567be62f277777f5863 |
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: Cathy's average rate during the Boston Marathon was 10 minutes a mile for the first \(b\) hours where \(b < 4\). In terms of \(b\), how many more miles does Cathy have to run to complete the 26-mile race?
(A)\(26 - 6b\) (B)\(26 - 600b\) (C)\(6b - 26\) (D)\(26 - \frac { 6 } { b } \) (E)\(\frac { 26 - b } { 6 } \)
Output:
| [
"A"
] | task118-03ca12cb33044e50ba1136452caf71bc |
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 volume of pitcher I is A ounces, and the volume of pitcher II is B ounces, with B > A. If pitcher II is full of water and pitcher I is empty, and if just enough water is poured from pitcher II to fill pitcher I, what fraction of pitcher II is now full?
(A)\(\frac { 1 } { 2 } \) (B)\(\frac { 1 } { B } \) (C)\(\frac { A } { B } \) (D)\(\frac { A - B } { B } \) (E)\(\frac { B - A } { B } \)
Output:
| [
"E"
] | task118-5e24165448584b23ad8d8878233d9c3b |
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 30 students had an average (arithmetic mean) of 92 points on a geography test out of a possible 100. If 10 of the students had a perfect score, what was the average score for the remaining students?
(A)58 (B)87 (C)88 (D)90 (E)92
Output:
| [
"C"
] | task118-475530510f134d33a4cd9aa161f1fb62 |
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 total monthly cost c to send \(x\) text messages is given by the function \(C(x) = 0.05x - 2.5\) for all \(x \geq 51\). If Hannah received a bill for \$10.50 for sending text messages last month, how many text messages did she send?
(A)60 (B)125 (C)160 (D)225 (E)260
Output:
| [
"E"
] | task118-ca6cf2a0934e49e09e88a88f37617d00 |
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 it takes 10 people 18 hours to do a certain job, how many hours would it take 15 people, working at the same rate, to do \(\frac { 2 } { 3 } \) of the same job?
(A)6 (B)8 (C)9 (D)10 (E)12
Output:
| [
"B"
] | task118-4929096dc6c840449fcc5d5296400850 |
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: Benjamin can type a full report in \(h\) hours. At this rate, how many reports can he type in \(m\) minutes?
(A)\(\frac { mh } { 60 } \) (B)\(\frac { 60m } { h } \) (C)\(\frac { m } { 60h } \) (D)\(\frac { 60h } { m } \) (E)\(\frac { h } { 60m } \)
Output:
| [
"C"
] | task118-1a4278e08c7d43c285f301725f8bb46b |
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 an airport security line, every 20th person has his bag searched, and every 10th person is asked to put her shoes through a special X-ray machine. Of 100 passengers, what is the probability that a passenger will be asked to put his shoes through the X-ray and have his bag searched?
(A)\(\frac{1}{100}\) (B)\(\frac{1}{50}\) (C)\(\frac{1}{20}\) (D)\(\frac{1}{10}\) (E)\(\frac{1}{5}\)
Output:
| [
"C"
] | task118-bec20b510b4c4943bf47afa970099ea1 |
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 gas tank with a capacity of \(g\) gallons is empty. A pump can deliver \(h\) gallons of gas every \(t\) seconds. In terms of \(g\), \(h\) and \(t\), how many seconds will it take this pump to fill the tank?
(A)\(\frac { g } { ht } \) (B)\(\frac { t } { gh } \) (C)\(\frac { gh } { t } \) (D)\(\frac { gt } { h } \) (E)\(\frac { h } { gt } \)
Output:
| [
"D"
] | task118-c1d03097b372428e957367f41103d117 |
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 solution of iodine and alcohol contains 4 ounces of iodine and 16 ounces of alcohol, how many ounces of alcohol must evaporate so that the ratio of iodine to the solution is 2 to 3?
(A)6 (B)7 (C)8 (D)10 (E)14
Output:
| [
"E"
] | task118-b7981f1bddee4e56bbe69ac94c4503bd |
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 Brighton High School Marching Band has x members. The Brighton Drum Corp has \(y\) members. If the Monroe Country All-Star Drum Line consists of all the members of the Brighton High school Marching Band and all the members of the Brighton Drum Corp except for the \(p\) common members (\(p > 0\)), then how many members does the Monroe Country All-Star Drum Line have in terms of \(x\), \(y\), and \(p\) ?
(A)\(x + y\) (B)\(x + y - p\) (C)\(x + y + 2p\) (D)\(x + y - 2p\) (E)\(2x + 2y - p\)
Output:
| [
"D"
] | task118-03fac238b99644f6b2d52117a5724e65 |
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 \(p\) gallons of 10 percent antifreeze solution is added to \(q\) gallons of 20 percent antifreeze solution, what is the percent antifreeze of the resulting solution in terms of \(p\) and \(q\)?
(A)\(\frac { p + q } { 2 } \) (B)\(\frac { 10p + 20q } { 30 } \) (C)\(\frac { 10p + 20q } { p + q } \) (D)\(\frac { 10p + 20q } { 100 } \) (E)\(\frac { 100p + 200q } { p + q } \)
Output:
| [
"C"
] | task118-5083bb58d56647c4b2a241ae5729c7e9 |
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 there are \(m\) gallons of salt water that is\( m\%\) salt, how many gallons of water must be added to make a solution that is \(10\%\) salt?
(A)\(\frac { m - 10 } { 10 } \) (B)\(\frac { m^2 } { m - 10 } \) (C)\(\frac { m^2 - 10m } { 10 } \) (D)\(\frac { 10 } { m^2 - 10 } \) (E)\(\frac { m^2 - 10 } { m + 10 } \)
Output:
| [
"C"
] | task118-75dcacb4556243019904a39a493c1308 |
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 population density of a region is the number of people living in the region per square mile. Jackson County is a rectangle whose length is \(l\) miles and whose width is \(w\) miles. How many people live in Jackson County if its population density is \(d\)?
(A)\(dlw\) (B)\(\frac { lw } { d } \) (C)\(\frac { d } { lw } \) (D)\(\frac { 2(l + w) } { d } \) (E)\(\frac { l + w } { 2d } \)
Output:
| [
"A"
] | task118-0d96d73d030645bc8c7948b11e7a5cae |
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 force needed to stretch a spring varies directly with the distance the spring is stretched from its equilibrium position. If 50 pounds of force stretch a spring 8 inches from equilibrium, how much, in inches, will the spring be stretched by a force of 75 pounds?
(A)10 (B)12 (C)33 (D)248 (E)468.75
Output:
| [
"B"
] | task118-8d8a05965d054d22be44822299db2931 |
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 certain party, an executive committee provided one soda for 8 people, one apple for 4 people and one cake for 6 people. If the total number of sodas, apples, and cakes was 78, how many people were at the party?
(A)48 (B)72 (C)96 (D)120 (E)144
Output:
| [
"E"
] | task118-9fdec3eb8b1048d3a0ac255e8e639c8a |
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 line of plastic ducks moves across a conveyor belt at a shooting gallery. The color of each duck follows the repeating pattern orange, green, red, blue, yellow, purple, continuing indefinitely. If the first duck is orange, what is the color of the 50th duck?
(A)Green (B)Red (C)Blue (D)Yellow (E)Purple
Output:
| [
"A"
] | task118-0c7b87018dc04675a2f8a37d7d9c373c |
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 \(n\) students in a chemistry class, and only \(s\) of them are seniors. If \(j\) juniors are added to the class, what percent of the students in the class will not be seniors?
(A)\(\frac { s } { n } \times 100\%\) (B)\(\frac { n - s } { n } \times 100\%\) (C)\(\frac { n } { n + s } \times 100\%\) (D)\(\frac { n - s } { n + j } \times 100\%\) (E)\(\frac { n - s + j } { n + j } \times 100\%\)
Output:
| [
"E"
] | task118-61575148915a4da3862832883af5276a |
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: Hillary buys a television on a 12-month installment plan. If each of her first three installments is twice as much as each of her nine remaining installments, and her total payment is $600, how much is her first installment?
(A)\$20 (B)\$35 (C)\$40 (D)\$65 (E)\$80
Output:
| [
"E"
] | task118-1f34fcafa0ae4c86b4aa2a2aadb474f2 |
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: Depending on the cycle, washing a load of clothes takes from 22 to 28 minutes. Drying takes an additional 20 to 30 minutes. What are the minimum and maximum total times to complete a load of laundry?
(A)22 minutes and 28 minutes (B)28 minutes and 48 minutes (C)28 minutes and 58 minutes (D)42 minutes and 48 minutes (E)42 minutes and 58 minutes
Output:
| [
"E"
] | task118-cb520f0c4b4242f18d2ec7ac420a7968 |
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 it takes a people 10 hours to finish a certain task, how many would it take for \(a^2\) people to finish the same task?
(A)5 (B)10 (C)\(\frac { 5 } { a } \) (D)\(\frac { 10 } { a } \) (E)\(\frac { a } { 10 } \)
Output:
| [
"D"
] | task118-e55d0786d70c45d082d9dfb72f5dfc0b |
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:
| [
"E"
] | task118-d86b73f899524e7ca9e998403068b383 |
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:
| [
"A"
] | task118-0d69f31af331496e916f5067e498a4f7 |
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:
| [
"D"
] | task118-1264bd3d2dd74d6eb56e6b6fdab122a6 |
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:
| [
"B"
] | task118-33f4e41c19614d35b78f82deeb4fecc6 |
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:
| [
"C"
] | task118-6263f36240c841c296493ec28d02688e |
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:
| [
"C"
] | task118-c755cce66d854239866f1ac1599c6f08 |
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:
| [
"D"
] | task118-6d8f368c4fde470dbd85ba9720d03a36 |
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:
| [
"C"
] | task118-397500cc85924c1e9041bd675e577ab5 |
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:
| [
"B"
] | task118-b1cb26e84dac4d36a7dff363337ccbba |
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:
| [
"B"
] | task118-0c51a26511fc4390bc674f43b6e35f20 |
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:
| [
"C"
] | task118-532cc490a0334602a2014e4f960804ca |
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 planet Caleb makes one complete rotation on its axis every 36 Earth hours. If it turns at a constant rate, through how many degrees does any point on Caleb, except the poles, rotate from 9 am January 14th to 9 pm January 17th?
(A)480 (B)720 (C)840 (D)900 (E)1,080
Output:
| [
"C"
] | task118-7787c4d687164ed7bd52c7d18f6a64b4 |
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: Amanda, Ben, and Cindy-made a total of 34 greeting cards. Ben made 4 times as many as Amanda, and Cindy made 3 times as many as Ben. How many greeting cards did Amanda make?
(A)2 (B)3 (C)4 (D)6 (E)8
Output:
| [
"A"
] | task118-f4f8ee9ca481468f8b9855aad94e74ef |
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: Each student in a cooking class of 50 students is assigned to create a dessert, an appetizer, or both. The total number of students creating an appetizer is seven more than the number of students creating a dessert. If the number of students who create two dishes is the same as number of students who create exactly one dish, how many students created one dessert?
(A)9 (B)16 (C)25 (D)34 (E)41
Output:
| [
"A"
] | task118-66d773666b5b4c5c87939808eba505cc |
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 tulips that Samantha grows each season varies directly with the age of her daughter Kim. If Samantha grew 16 tulips when Kim was 10 years old, how many tulips will she grow when Kim is 25 years old?
(A)25 (B)26 (C)30 (D)40 (E)45
Output:
| [
"D"
] | task118-2321e25a84a5486ab7023cfb2a559985 |
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 jar contained red and green marbles in a ratio of 3 to 4. After 6 red marbles are added to the jar, the ratio becomes 3 to 2. How many green marbles does the jar now contain?
(A)3 (B)4 (C)6 (D)8 (E)14
Output:
| [
"D"
] | task118-b5986759a2b74dbda9542b099ec3c814 |
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: An arrow is shot upward on the moon with an initial velocity of 60 meters per second and returns to the surface after 60 seconds. If the height is given by the formula \(h = t(60 - t)\), what is the maximum height that the arrow reaches?
(A)300 meters (B)600 meters (C)900 meters (D)1200 meters (E)1500 meters
Output:
| [
"C"
] | task118-ef6a375824454e0dae997b50d682a999 |
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: While biking on a 50-mile path, Jerry averages 5 miles per hour for the first h hours. In terms of h, where \(h < 10\), how many miles remain to be traveled?
(A)\(\frac{50}{5h}\) (B)\(50 - 5h\) (C)250h (D)\(50 - \frac{5}{h}\) (E)\(5h - 50\)
Output:
| [
"B"
] | task118-a71f6187c8a2484583e645b0034ee440 |
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: David has 4 less than one-half the number of balloons that Katie has. If David has d balloons, and Katie has k balloons, which of the following equations correctly expresses the relationship between \(d\) and \(k\) ?
(A)\(d = \frac { 1 } { 2 } (k + 4)\) (B)\(d = \frac { 1 } { 2 } (k - 4)\) (C)\(d = \frac { 1 } { 2 } k + 4\) (D)\(d = \frac { 1 } { 2 } k - 4\) (E)\(d = 2 (k - 4)\)
Output:
| [
"D"
] | task118-84cc1b3b7ef84ed3a6dcd037c3bf8b51 |
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 caterer has 120 slices ofbread, 75 slices of ham, and 75 slices of cheese. If she needs to make sandwiches each consisting of 2 slices of bread, 1 slice of ham, and 1 slice of cheese, what is the greatest number of sandwiches she can make?
(A)60 (B)65 (C)75 (D)90 (E)120
Output:
| [
"A"
] | task118-93beb3951d2247a69272a025d0c7bd01 |
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 certain test, a class of 12 students has an average (arithmetic mean) score of 80. A second class of 18 students has an average score of 85. What is the average score of the combined classes?
(A)82 (B)82.5 (C)83 (D)84 (E)84.5
Output:
| [
"C"
] | task118-9d301726699c4e919a37538a001f9559 |
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. How many miles can the airplane travel in 10 seconds?
(A)1.3 (B)7.8 (C)13 (D)78 (E)130
Output:
| [
"C"
] | task118-4bba7022291046e3ad15c6ea32483119 |
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 3 kilograms of rose petals are needed to produce 5 grams of perfume, how many kilograms of rose petals are needed to produce 870 grams of perfume?
(A)290 (B)522 (C)870 (D)1,450 (E)2,610
Output:
| [
"B"
] | task118-c137b8bc2bf74b1dac46f0f80217c92a |
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: Raphael just bought a piece of furniture from a store that sells only sofas and chairs. Which of the following must be true?
(A)The piece of furniture is a sofa. (B)The piece of furniture is a chair. (C)The piece of furniture is not a leather sofa. (D)The piece of furniture is not a wooden chair. (E)The piece of furniture is not a wooden table.
Output:
| [
"E"
] | task118-212ac7547b934a5cb5de4c27e8939604 |
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: Megan wrote down all the three-digit numbers that can be written using each of the numerals 1, 2 and 3 exactly once. What is the average (arithmetic mean) of the numbers Megan wrote?
(A)213 (B)222 (C)231 (D)233 (E)333
Output:
| [
"B"
] | task118-b9b26d9b22354a5a94c00d003537ac68 |
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 radio station emits a signal that can be received for 60 miles in all directions. If the intensity of the signal is strengthened so the reception increases by 40 miles in all directions, by approximately how many square miles is its region of reception increased?
(A)6,300 (B)10,000 (C)10,300 (D)20,000 (E)31,400
Output:
| [
"D"
] | task118-9d1835486dd540dcbd1cc1667c82ace3 |
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 certain test, if a student answers 80 to 90 percent of the questions correctly, he will receive a letter grade of B. If there are 40 questions on the test, what is the minimum number of questions the student can answer correctly to receive a grade of B?
(A)24 (B)28 (C)32 (D)33 (E)36
Output:
| [
"C"
] | task118-0e8e3efbbfd349acb3f8feb6f388dee1 |
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: Each time that Sophie counted her marbles by either 3's or 5's she had one left over. But when she counted them by 7's she had none left over. What is the least number of marbles she could have had?
(A)35 (B)49 (C)70 (D)91 (E)105
Output:
| [
"D"
] | task118-8f520449c7674fbf848cc0c3b6a7c6c1 |
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 number of people boarded a bus at the terminal. At the first stop, half of the passengers got off and 1 got on. At the second stop, \(\frac { 1 } { 3 } \) of the passengers on the bus got off and 1 got on. If the bus then had 15 passengers, how many were there when the bus left the terminal?
(A)40 (B)48 (C)58 (D)60 (E)62
Output:
| [
"A"
] | task118-101d5ecbeed04b23b84ffa813396ab1b |
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 charge for the first quarter-mile of a taxi ride is \$1.40, and charge for each additional quarter-mile is \$0.20. If the total charge for a certain taxi ride is \$5.00, what is the length of this ride, in miles?
(A)\(4 \frac { 1 } { 2 } \) (B)\(4 \frac { 3 } { 4 } \) (C)\(5 \frac { 1 } { 2 } \) (D)19 (E)25
Output:
| [
"B"
] | task118-721b3621dabc4242b9440739b7f600c2 |
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 bowl contains punch made from pineapple juice, orange juice, and seltzer, in ratio of 2 : 3 : 1, respectively. If the bowl contains 2 liters of seltzer, how many liters of punch does the bowl contain?
(A)6 (B)8 (C)10 (D)12 (E)14
Output:
| [
"D"
] | task118-1ee92d8529674e4a87714023a3645371 |
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: Anne-Marie was \(x\) years old \(y\) years ago. How old will she be in \(z\) years?
(A)\(x + y + z\) (B)\(x - y + z\) (C)\(z - x - y\) (D)\(y - x + z\) (E)\(x - y - z\)
Output:
| [
"A"
] | task118-0f30a37660b74f95a9c59f4df91d71ea |
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: For the annual school fundraiser, Santiago has \(p\) pledges each for \(c\) cents per lap that he jogs. If his school track has 4 laps per mile and Santiago raises a total of \(d\) dollars, how many miles did he jog in terms of \(p\), \(c\), and \(d\) ?
(A)\(\frac { 25d } { pc } \) (B)\(\frac { 4pc } { d } \) (C)\(\frac { 100d } { pc } \) (D)\(4pcd\) (E)\(25pcd\)
Output:
| [
"A"
] | task118-432ab051f4a445e7b0e34edcc1b57838 |
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:
| [
"A"
] | task118-e12d8ae0f9bf440089853e7327040070 |
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:
| [
"C"
] | task118-95a55efc201e45a380083348a9768a3e |
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:
| [
"B"
] | task118-f019ce10b16047fe861fbe9641712e01 |
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:
| [
"A"
] | task118-1211e07dd98b4d938cce9f801ccab0c5 |
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:
| [
"B"
] | task118-2a76fd3cca59458ebf314e9a1bc60d55 |
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:
| [
"C"
] | task118-0334506426174476b3e0dbf3ad18f8bb |
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:
| [
"B"
] | task118-d9d2adfd0a7f4d6d841bd2c8d0209327 |
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:
| [
"C"
] | task118-aab9f16a7a5b4997a623ffa6f076b3a0 |
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:
| [
"C"
] | task118-25ade5bba2154904af17283d20e82f56 |
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:
| [
"A"
] | task118-f3e5f4e340624c40a0f955b0a5fed446 |
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:
| [
"B"
] | task118-91289ddbf57c40949578a04d16dba05e |
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 alarm beeps at a constant rate of 16 beeps per minute, how many minutes will it take to beep 88 times?
(A)5 (B)5.5 (C)6.5 (D)23.5 (E)1408
Output:
| [
"B"
] | task118-3c52466e5d434f46921bffdce89e5291 |
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: Flour, sugar, and baking soda are mixed by weight in the ratio of 6:4:2, respectively, to produce a certain type of cookie. In order to make 6 pounds of this dough, what weight of sugar, in pounds, is required?
(A)4 (B)2 (C)\(\frac{7}{6}\) (D)\(\frac{1}{2}\) (E)\(\frac{1}{4}\)
Output:
| [
"B"
] | task118-d7f201a9b09944b0bf353634c3aa77c3 |
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 box of crayons contains only red, green, and blue crayons. The probability of randomly selecting a red crayon from the box is \(\frac{2}{5}\) and the probability of randomly selecting a blue crayon is \(\frac{1}{4}\). Which of the following could be the total number of crayons in the box?
(A)12 (B)16 (C)20 (D)25 (E)32
Output:
| [
"C"
] | task118-9148adb9e15446a990d778c2402d19de |
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 father is \(t\) inches taller than his son. If their total height is \(p\), in terms of \(p\) and \(t\), what is the father's height, in inches?
(A)\(p - t\) (B)\(p + t\) (C)\(\frac { p - t } { 2 } \) (D)\(\frac { p + t } { 2 } \) (E)\(2p - t\)
Output:
| [
"D"
] | task118-f0fc0f548d994c458f190a65cfb40992 |
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 Essex High School 100 students are taking chemistry and 80 students are taking are biology. If 20 students are taking both chemistry and biology, what is the ratio of the number of students taking only chemistry to the number taking only biology?
(A)\(\frac { 3 } { 4 } \) (B)\(\frac { 4 } { 5 } \) (C)\(\frac { 1 } { 1 } \) (D)\(\frac { 5 } { 4 } \) (E)\(\frac { 4 } { 3 } \)
Output:
| [
"E"
] | task118-e257ef00eaff49acbf93ec1b2b0d1d37 |
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: It takes 5 complete turns of the crank to raise a fishing rod hook 2 feet. At this rate, how many turns will it take to raise the hook 4.4 feet?
(A)4.4 (B)11 (C)22 (D)33 (E)44
Output:
| [
"B"
] | task118-0d021b392c404a44827c674b7b75eed8 |
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: Last year Jose sold a painting for \$2000. If he made a 25\% profit on the sale, how much had he paid for the painting?
(A)\$1200 (B)\$1500 (C)\$1600 (D)\$2400 (E)\$2500
Output:
| [
"C"
] | task118-f317b314e4e9471eabd51b7021175b53 |
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: Sharon has exactly 6 quarters, 5 dimes, and 10 nickels in her pocket. She pulls out a coin at random and puts it aside since the coin is not a quarter. If she pulls out a second coin at random from her pocket, what is the probability that the second coin is a quarter?
(A)\(\frac{3}{7}\) (B)\(\frac{3}{10}\) (C)\(\frac{3}{11}\) (D)\(\frac{6}{19}\) (E)\(\frac{1}{4}\)
Output:
| [
"B"
] | task118-db261fe651584885abf4907baae151c0 |
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 members of the French Club conducted a fund-raising drive. The average (arithmetic mean) amount of money raised per member was \$85. Then Jean joined the club and raised \$50. This lowered the average to \$80. How many members were there before Jean joined?
(A)4 (B)5 (C)6 (D)7 (E)8
Output:
| [
"C"
] | task118-f2eb789cd65a4f668d155fdd3fb5c85f |
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: Shawn creates a meal by mixing the pastas, sauces, and toppings in his kitchen. Each meal he creates consists of one type of pasta, one sauce, and one type of topping. If Shawn can make exactly 30 different meals, which of the following could NOT be the number of sauces that Shawn has?
(A)1 (B)2 (C)3 (D)4 (E)5
Output:
| [
"D"
] | task118-786774769cdd417e9021181068a4a9be |
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 students who order hot lunch by the month at the Tucker Elementary School varies directly with the number of times pizza appears on the lunch menu during that month. If 135 students order hot lunch when pizza appears three times on the menu, how many students order hot lunch when pizza appears eight times on the menu?
(A)260 (B)295 (C)325 (D)360 (E)405
Output:
| [
"D"
] | task118-b40491cf86634210bc2a63d351e68538 |
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 pencils cost $0.50 each and notebooks cost $3 each, which of the following represents the cost, in dollars, of p pencils and n notebooks?
(A)\(2pn\) (B)\(3.5pn\) (C)\(3.5(n + p)\) (D)\(3n + 0.50p\) (E)\(2(n + 0.50p)\)
Output:
| [
"D"
] | task118-ed4447fda0bd4063b85ae1664fdb9cf1 |
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 is 25 kilometers east of B, which is 12 kilometers south of C, which is 9 kilometers west of D, how far, in kilometers, is A from D?
(A)20 (B)\(5\sqrt { 34 } \) (C)\(5\sqrt { 41 } \) (D)\(10\sqrt { 13 } \) (E)1
Output:
| [
"A"
] | task118-133a4cb81588437fbc17d6a75c9bb741 |
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: Laurie inherited 40\% of her father's estate. After paying a tax equal to 30\% of her inheritance, what percent of her father's estate did she own?
(A)10\% (B)12\% (C)25\% (D)28\% (E)30\%
Output:
| [
"D"
] | task118-a584e7fda0644fcd9385793c2c665bd3 |
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: Gilda drove 650 miles at an average speed of 50 miles per hour. How many miles per hour faster would she have had to drive in order for the trip to have taken I hour less?
(A)\(6\frac { 2 } { 3 } \) (B)\(4\frac { 2 } { 3 } \) (C)\(4\frac { 1 } { 3 } \) (D)\(4\frac { 1 } { 6 } \) (E)\(3\frac { 1 } { 3 } \)
Output:
| [
"D"
] | task118-9461df36eff6417a9efc1381c378db78 |
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: Albert's diet allows him to consume no more than 450 calories for breakfast. He decides to have 3 mini-muffins, which each contain 140 calories, and a drink. If n represents the number of calories that his drink can contain, which of the following inequalities could be used to find all possible values for n?
(A)\(n \geq 3(140)\) (B)\(3(140) + n \leq 450\) (C)\(3(140) + n \geq 450\) (D)\(3(140) - n \leq 450\) (E)\(3(140) - n \geq 450\)
Output:
| [
"B"
] | task118-9d59c6cf03ff4f0cb5cfa528ecde9e17 |
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 store sells n newspapers on each of 5 days, which of the following represents the total number of newspapers sold?
(A)\(5n\) (B)\(5 + n\) (C)\(n - 5\) (D)\(n^5\) (E)\(5^n\)
Output:
| [
"A"
] | task118-b01aa0daee234bb480331e30fead09ac |
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: Stephanie, Damon, and Karissa have been contracted to paint an office building that contains 72 rooms. If Stephanie paints half as many rooms as Karissa and 12 more than Damon, how many rooms does Karissa paint?
(A)9 (B)21 (C)30 (D)42 (E)48
Output:
| [
"D"
] | task118-763e6c8cb2f34da39b86410c6cbe4c7f |
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: Megan began a one-way 5-mile bicycle trip by riding very quickly uphill for 2 miles. She rested for 10 minutes and then rode slowly for the rest of the trip. Which of the following graphs could correctly represent the trip?
(A)diagram1469.png (B)diagram347.png (C)diagram1684.png (D)diagram466.png (E)diagram234.png
Output:
| [
"B"
] | task118-a00115adcff34486987124c5cde017d7 |
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 certain pet store, every third goldfish has long fins, and every fourth goldfish has a long tail. If a fish is selected at random from a tank of 120 fish, what is the probability that the fish will have long fins and a long tail?
(A)\(\frac{1}{12}\) (B)\(\frac{1}{7}\) (C)\(\frac{2}{7}\) (D)\(\frac{7}{12}\) (E)\(\frac{12}{7}\)
Output:
| [
"A"
] | task118-a3262ca516a948028faa7543922a5154 |
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: Marty has now \(m\) more marbles than Jane has. After he gives \(n\) marbles too Jane, how many more marbles will Jane have than Marty?
(A)\(m\) (B)\(n + m\) (C)\(2n - m\) (D)\(3n - 2m\) (E)\(m - n\)
Output:
| [
"C"
] | task118-634fbfcf26d242ff80820ef0d17ed4da |
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 certain neighborhood, the number of cats is inversely proportional to the number of dogs. At one point, there were 10 cats and 50 dogs in the neighborhood. If today there are 20 dogs in the neighborhood, how many cats are in the neighborhood?
(A)4 (B)8 (C)15 (D)20 (E)25
Output:
| [
"E"
] | task118-9e580a5f1d8142919b4b81be0e570001 |
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:
| [
"D"
] | task118-d82e244d286b462a92045dd50e47029e |