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TASK DEFINITION: You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
PROBLEM: If \(r(b) = \frac{(b^2 - 7)}{(b + 7)}\), what is the value of \(r(7)\)?
(A)0 (B)3 (C)4 (D)7 (E)12
SOLUTION: B
PROBLEM: If \(3x = 36\), then \(\frac { x } { 3 } \) =
(A)3 (B)4 (C)6 (D)9 (E)12
SOLUTION: B
PROBLEM: 1. Choose a number between 0 and 9.9. 2. Multiply the number from the previous step by 100. 3. Determine the smallest integer greater than or equal to the number obtained from the previous step. 4. Add 12 to the number found in the previous step. 5. Print the resulting number. If 6.127 is the number chosen in step 1, what is the number printed in step 5?
(A)12 (B)74 (C)624 (D)624.7 (E)625
SOLUTION:
|
E
| 8 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You will be given a definition of a task first, then an example. Follow the example to solve a new instance of the task.
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
If k is an integer and \(k = \frac { m } { 3 } \) which of the following must be true? I. m is an even number. II. m is a multiple of 3. III. m is an odd number.
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III
Solution: B
Why? m isn’t necessarily an even or odd number so A,D,E,C are incorrect. for frac { m } { 3 } to be an integer m must be a multiple of 3.
New input: \((60 \times 10^4) + (60 \times 10^2)\) =
(A)\(606 \times 10^3\) (B)\(606 \times 10^2\) (C)\(120 \times 10^6\) (D)\(66 \times 10^4\) (E)\(60 \times 10^6\)
Solution:
|
A
| 0 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You will be given a definition of a task first, then an example. Follow the example to solve a new instance of the task.
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
If k is an integer and \(k = \frac { m } { 3 } \) which of the following must be true? I. m is an even number. II. m is a multiple of 3. III. m is an odd number.
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III
Solution: B
Why? m isn’t necessarily an even or odd number so A,D,E,C are incorrect. for frac { m } { 3 } to be an integer m must be a multiple of 3.
New input: If \(a < b < 0 < c\), which of the following must be true? I. \(-b > -a\) II. \(a + c < b + c\) III. \(a + b < c\)
(A)I only (B)II only (C)III only (D)II and III only (E)I, II, and III
Solution:
|
D
| 0 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Q: If \(n > 0\), what is the value of \(3^{\frac{n}{2}} + 3^{\frac{n}{2}} + 3^{\frac{n}{2}}\)?
(A)\(\frac{3}{2}(3^{\frac{n}{2}})\) (B)\(3^{\frac{n}{6}}\) (C)\(3^{\frac{n}{2} + 1}\) (D)\(3^{\frac{3n}{2}}\) (E)\(9^{\frac{n}{2}}\)
A: C
****
Q: If \(x > 0\) and 20 percent of \(x\) is 30 percent of\( y\) , which of the following represents 80 percent of \(x\) ?
(A)\(0.5y\) (B)\(0.8y\) (C)\(0.9y\) (D)\(y\) (E)\(1.2y\)
A: E
****
Q: If \(x > 0\), then \((4^x)(8^x) =\)
(A)\(2^{9x}\) (B)\(2^{8x}\) (C)\(2^{6x}\) (D)\(2^{5x}\) (E)\(2^{4x}\)
A:
|
D
****
| 4 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Let me give you an example: If k is an integer and \(k = \frac { m } { 3 } \) which of the following must be true? I. m is an even number. II. m is a multiple of 3. III. m is an odd number.
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III
The answer to this example can be: B
Here is why: m isn’t necessarily an even or odd number so A,D,E,C are incorrect. for frac { m } { 3 } to be an integer m must be a multiple of 3.
OK. solve this:
If \(x > 0\), then \((4^x)(8^x) =\)
(A)\(2^{9x}\) (B)\(2^{8x}\) (C)\(2^{6x}\) (D)\(2^{5x}\) (E)\(2^{4x}\)
Answer:
|
D
| 8 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Example input: If k is an integer and \(k = \frac { m } { 3 } \) which of the following must be true? I. m is an even number. II. m is a multiple of 3. III. m is an odd number.
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III
Example output: B
Example explanation: m isn’t necessarily an even or odd number so A,D,E,C are incorrect. for frac { m } { 3 } to be an integer m must be a multiple of 3.
Q: In a list of four positive even numbers, the mean, median, and mode are all equal. Which of the following CANNOT be done to the list if the mean, median, and mode are to remain equal?
(A)Add one number to the list. (B)Add one number to the list that is greater than the mean. (C)Add two distinct numbers to the list. (D)Add 2 to each number in the list. (E)Remove the first and fast numbers from the list.
A:
|
B
| 3 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
Teacher: You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Teacher: Now, understand the problem? If you are still confused, see the following example:
If k is an integer and \(k = \frac { m } { 3 } \) which of the following must be true? I. m is an even number. II. m is a multiple of 3. III. m is an odd number.
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III
Solution: B
Reason: m isn’t necessarily an even or odd number so A,D,E,C are incorrect. for frac { m } { 3 } to be an integer m must be a multiple of 3.
Now, solve this instance: If \(p\) is a multiple of 3 and \(q\) is a multiple of 5, which of the following must be true? I. p+q is even. II. pq is odd. III. 5p + 3q is a multiple of 15.
(A)I only (B)II only (C)III only (D)I and II only (E)II and III only
Student:
|
C
| 2 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
Detailed Instructions: You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
See one example below:
Problem: If k is an integer and \(k = \frac { m } { 3 } \) which of the following must be true? I. m is an even number. II. m is a multiple of 3. III. m is an odd number.
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III
Solution: B
Explanation: m isn’t necessarily an even or odd number so A,D,E,C are incorrect. for frac { m } { 3 } to be an integer m must be a multiple of 3.
Problem: The function f is defined by \(f(x) = a (x - b)2 + k\) for all real \(x\), where \(a\), \(b\), and \(k\) are constants. If \(a\) and \(k\) are negative, which of the following CANNOT be true?
(A)\(f(5) = -3\) (B)\(f(0) = -5\) (C)\(f(2) = 4\) (D)\(f(1) = k\) (E)\(f(-2) = b\)
Solution:
|
C
| 4 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
[EX Q]: If \(|p| > 10 \), which of the following must be true? I. \(p > 10\) II. \(p^2 > 10\) III. \(p^3 > 10\)
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III
[EX A]: B
[EX Q]: If \(\frac{\sqrt{x} + n}{\sqrt{x} + 9} = 1\), then \(n =\)
(A)1 (B)3 (C)5 (D)8 (E)9
[EX A]: E
[EX Q]: \begin { gather* } 5, 5k, 5k^2 , 5k^3 , ...\end { gather* } The first term in the sequence above is 5, and each term after the first is \(k\) times the preceding term. If the sum of the first three terms is 15, which of the following could be the value of \(k\) ?
(A)-2 (B)-1 (C)0 (D)2 (E)3
[EX A]:
|
A
| 6 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
Part 1. Definition
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Part 2. Example
If k is an integer and \(k = \frac { m } { 3 } \) which of the following must be true? I. m is an even number. II. m is a multiple of 3. III. m is an odd number.
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III
Answer: B
Explanation: m isn’t necessarily an even or odd number so A,D,E,C are incorrect. for frac { m } { 3 } to be an integer m must be a multiple of 3.
Part 3. Exercise
If a, b, and c are distinct positive odd integers less than 6, how many different values of \(a(b^c)\) are possible?
(A)Two (B)Three (C)Four (D)Five (E)Six
Answer:
|
D
| 7 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
Given the task definition, example input & output, solve the new input case.
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Example: If k is an integer and \(k = \frac { m } { 3 } \) which of the following must be true? I. m is an even number. II. m is a multiple of 3. III. m is an odd number.
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III
Output: B
m isn’t necessarily an even or odd number so A,D,E,C are incorrect. for frac { m } { 3 } to be an integer m must be a multiple of 3.
New input case for you: \begin{gather*} A = \{\frac{3}{5}, 2, \frac{7}{2}, 4, \frac{15}{3}, 8\} \\ B = \{\frac{3}{5}, \frac{5}{3}, 4, 8\} \end{gather*} If n is a member of both set A and set B above, which of the following must be true? I. n is an integer II. 5n is an integer III. n = 5
(A)II only (B)III only (C)I and II only (D)I and III only (E)I, II, and III
Output:
|
A
| 1 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
instruction:
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
question:
If -10 < x < 10, which of the following must be true? I. \(x^2 < 10\) II. \(|x| < 10\) III. \((x + 10)(x - 10) < 0\)
(A)III only (B)II and III only (C)II only (D)I and II only (E)I, II, and III
answer:
B
question:
If \(10a + 8b = 4x\), then, in terms of \(x\), \(5a + 4b\) =
(A)\(8x\) (B)\(4x\) (C)\(2x\) (D)\(x\) (E)\(\frac { x } { 2 } \)
answer:
C
question:
If a is a positive number, which of the following is equal to \(a^2 \times a^{-2}\)?
(A)0 (B)1 (C)\(a^{-4}\) (D)a (E)\(a^4\)
answer:
|
B
| 9 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Example Input: If \(x\) and \(y\) are distinct prime numbers, which of the following has exactly four distinct factors?
(A)\(x^2\) (B)\(xy\) (C)\(xy^2\) (D)\((x + y)^2\) (E)\((x - y)^2\)
Example Output: B
Example Input: The average of \(p\) and \(q\) is 5, and the average of \(p^2\) and \(q^2\) is 35. What is the value of \(pq\)?
(A)10 (B)15 (C)30 (D)45 (E)70
Example Output: B
Example Input: Let \(FI(x)\) be defined as the sum of the digits of the positive integer \(x\). For example, \(FI(7) = 7\) and \(FI(123) = 6\). For how many two-digit values of \(x\) does \(FI(FI(x)) = 2\) ?
(A)8 (B)9 (C)10 (D)12 (E)13
Example Output:
|
C
| 3 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Input: Consider Input: If x is a positive integer, all of the following are equal to \((4^3)^x\) EXCEPT
(A)\(4^ { 3x } \) (B)\(2^ { 4x } (4^x)\) (C)\(4^x (4^3x)\) (D)\(4^x (4^2x)\) (E)\(8^2x\)
Output: C
Input: Consider Input: \(3a - b = 11\) \(4b + 2c = 27\) Based on the equation above, what is the value of \( 6a + 6b + 4c\) ?
(A)18 (B)28 (C)38 (D)66 (E)76
Output: E
Input: Consider Input: \begin{gather*} A = \{\frac{3}{5}, 2, \frac{7}{2}, 4, \frac{15}{3}, 8\} \\ B = \{\frac{3}{5}, \frac{5}{3}, 4, 8\} \end{gather*} If n is a member of both set A and set B above, which of the following must be true? I. n is an integer II. 5n is an integer III. n = 5
(A)II only (B)III only (C)I and II only (D)I and III only (E)I, II, and III
|
Output: A
| 2 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Q: Set A consists of all even numbers between 10 and 20, inclusive. Set B consists of all multiples of 3 between 7 and 19, inclusive. If set C consists of all the numbers that appear both in set A and set B, how many members does set C have?
(A)Two (B)Five (C)Seven (D)Eight (E)Ten
A: A
****
Q: If \(k\) is a negative number, which of the following must be a positive number?
(A)\(k - 5 \) (B)\(k + 5\) (C)\(k^2 - 5 \) (D)\((k + 5)(k - 5)\) (E)\(k(k - 5)\)
A: E
****
Q: The average (arithmetic mean) of 7,20, and x is 20. What is the value of x ?
(A)20 (B)27 (C)32 (D)33 (E)40
A:
|
D
****
| 4 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
Teacher: You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Teacher: Now, understand the problem? If you are still confused, see the following example:
If k is an integer and \(k = \frac { m } { 3 } \) which of the following must be true? I. m is an even number. II. m is a multiple of 3. III. m is an odd number.
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III
Solution: B
Reason: m isn’t necessarily an even or odd number so A,D,E,C are incorrect. for frac { m } { 3 } to be an integer m must be a multiple of 3.
Now, solve this instance: For all positive integers r and q, where \(r > q\), let the operation \& be defined by \(r \& q = \frac{3^{r + q}}{3^{r - q}}\). for how many positive integers r is r \& 1 equal to 9?
(A)0 (B)1 (C)2 (D)4 (E)More than 4
Student:
|
E
| 2 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Example Input: If \(x = -3\), then \(||x - 2| - |2 + x||\) =
(A)-3 (B)0 (C)1 (D)2 (E)4
Example Output: E
Example Input: If a ``sump'' number is defined as one in which the sum of the digits of the number is greater than the product of the digits of the same number, which of the following is a ``sump'' number?
(A)123 (B)234 (C)332 (D)411 (E)521
Example Output: D
Example Input: For all positive integers r and q, where \(r > q\), let the operation \& be defined by \(r \& q = \frac{3^{r + q}}{3^{r - q}}\). for how many positive integers r is r \& 1 equal to 9?
(A)0 (B)1 (C)2 (D)4 (E)More than 4
Example Output:
|
E
| 3 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
instruction:
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
question:
If \(rst < 0\) and \(r^3 \times s^2 \times t > 0\), which of the following must be true?
(A)\(r > 0\) (B)\(r < 0\) (C)\(t > 0\) (D)\(s < 0\) (E)\(s > 0\)
answer:
D
question:
If \(f(x) = \frac{x + 4}{x}\) and \(g(x) = x^2 - 6\), what is the difference between \(f(x)\) and \(g(x)\) when \(x = 2\)?
(A)1 (B)2 (C)3 (D)5 (E)6
answer:
D
question:
If \(\frac { m + m } { m \times m } = \frac { 1 } { 5 } \), which of the following must be true? I. m = 0 II. m = 5 III. m = 10
(A)I only (B)II only (C)III only (D)I and II only (E)I and III only
answer:
|
C
| 9 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
--------
Question: If \(f(x) = \sqrt{x^2 - 4}\), then \(f(x)\) is undefined for which of the following values of x?
(A)\(-6\) (B)\(-4\) (C)\(-2\) (D)0 (E)2
Answer: D
Question: If \(x < y < z\) and the average (arithmetic mean) of \(x\), \(y\), and \(z\) is \(y\), which of the following must be true?
(A)\(z - y = 2\) (B)\(x + y + z = 3y\) (C)\(x + y < z\) (D)\(x + y = z\) (E)\(2z = 3y\)
Answer: B
Question: If \(\frac { b^x } { 2 } = 8\), then \(\frac { b^x } { 2 } \) =
(A)1 (B)2 (C)4 (D)8 (E)16
Answer:
|
C
| 7 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
--------
Question: If \(\frac { a + b } { x - y } = \frac { 1 } { 2 } \) and \(\frac { a - b } { x + y } = \frac { 2 } { 3 } \), then \(\frac { 2a^2 - 2b^2 } { 3x^2 - 3y^2 } = \)
(A)\(\frac { 1 } { 3 } \) (B)\(\frac { 1 } { 2 } \) (C)\(\frac { 2 } { 7 } \) (D)\(\frac { 2 } { 9 } \) (E)\(\frac { 2 } { 3 } \)
Answer: D
Question: If \((2x^2 + 5x - 3)(4x - 1) = ax^3 + bx^2 + cx + d\) for all values of x, what is the value of b?
(A)\(-22\) (B)\(-18\) (C)\(-17\) (D)18 (E)22
Answer: D
Question: If \(2 < |x - 4| < 5\), which of the following could be the value of \(x\)?
(A)-6 (B)-7 (C)6 (D)8 (E)9
Answer:
|
D
| 7 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
[Q]: If \(w = 3^3\), which of the following expressions is equal to \(3^8\)?
(A)5w (B)\(w^5\) (C)8w (D)\(8w^2\) (E)\(9w^2\)
[A]: E
[Q]: If p is an integer between 1,000 and 1,030, and if the sum of the digits of p is odd, then p must be odd. Which of the following is one possible value of p that proves the above statement FALSE ?
(A)1,017 (B)1,018 (C)1,019 (D)1,020 (E)1,021
[A]: D
[Q]: \begin{gather*} 3, 8,13,18,23,28, 33, 38 \end{gather*} If from the sequence of numbers above, a new sequence is created by increasing each odd-valued term by 3 and decreasing each even-valued term by 2, the sum of the terms of this new sequence is how much greater than the sum of the terms of the original sequence?
(A)4 (B)6 (C)8 (D)10 (E)12
[A]:
|
A
| 5 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
One example is below.
Q: If k is an integer and \(k = \frac { m } { 3 } \) which of the following must be true? I. m is an even number. II. m is a multiple of 3. III. m is an odd number.
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III
A: B
Rationale: m isn’t necessarily an even or odd number so A,D,E,C are incorrect. for frac { m } { 3 } to be an integer m must be a multiple of 3.
Q: If \(2 < |x - 4| < 5\), which of the following could be the value of \(x\)?
(A)-6 (B)-7 (C)6 (D)8 (E)9
A:
|
D
| 9 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
Teacher: You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Teacher: Now, understand the problem? If you are still confused, see the following example:
If k is an integer and \(k = \frac { m } { 3 } \) which of the following must be true? I. m is an even number. II. m is a multiple of 3. III. m is an odd number.
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III
Solution: B
Reason: m isn’t necessarily an even or odd number so A,D,E,C are incorrect. for frac { m } { 3 } to be an integer m must be a multiple of 3.
Now, solve this instance: Which of the following is a product of 3 consecutive integers?
(A)0 (B)1 (C)2 (D)7 (E)8
Student:
|
A
| 2 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Example: If k is an integer and \(k = \frac { m } { 3 } \) which of the following must be true? I. m is an even number. II. m is a multiple of 3. III. m is an odd number.
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III
Example solution: B
Example explanation: m isn’t necessarily an even or odd number so A,D,E,C are incorrect. for frac { m } { 3 } to be an integer m must be a multiple of 3.
Problem: If \(a^3 - b = a^3 - 5\), then \(b =\)
(A)\(-5\) (B)\(-\sqrt[3]{5}\) (C)\(\sqrt[3]{5}\) (D)5 (E)15
|
Solution: D
| 5 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You will be given a definition of a task first, then an example. Follow the example to solve a new instance of the task.
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
If k is an integer and \(k = \frac { m } { 3 } \) which of the following must be true? I. m is an even number. II. m is a multiple of 3. III. m is an odd number.
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III
Solution: B
Why? m isn’t necessarily an even or odd number so A,D,E,C are incorrect. for frac { m } { 3 } to be an integer m must be a multiple of 3.
New input: The function \(h\) is defined by \(h(x) = 3x - 2\) and the function \(g\) is defined by \(g(x) = 3h(x )- 1\). If \(g(k) = 11\), what is the value of \(k\)?
(A)2 (B)3 (C)4 (D)5 (E)6
Solution:
|
A
| 0 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
TASK DEFINITION: You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
PROBLEM: \((60 \times 10^4) + (60 \times 10^2)\) =
(A)\(606 \times 10^3\) (B)\(606 \times 10^2\) (C)\(120 \times 10^6\) (D)\(66 \times 10^4\) (E)\(60 \times 10^6\)
SOLUTION: A
PROBLEM: If \( |k-5| \leq 8 \), which of the following CANNOT be the value of \(k\) ?
(A)10 (B)8 (C)5 (D)-3 (E)-4
SOLUTION: E
PROBLEM: The function \(h\) is defined by \(h(x) = 3x - 2\) and the function \(g\) is defined by \(g(x) = 3h(x )- 1\). If \(g(k) = 11\), what is the value of \(k\)?
(A)2 (B)3 (C)4 (D)5 (E)6
SOLUTION:
|
A
| 8 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Q: For all positive numbers \(a\) and \(b\), let \(a \square b = \sqrt { ab } \). If \(n > 1\), what does \(n \square \frac { 1 } { n } \) equal?
(A)\(\sqrt { n } \) (B)\(\sqrt { n^2 } \) (C)\(\frac { 1 } { \sqrt { n } } \) (D)\(\frac { 1 } { \sqrt { n^2 } } \) (E)1
A: E
****
Q: For any positive integer [n] represents the sum of the integers from 1 to n. For example, [5] = 1 + 2 + 3 + 4 + 5 = 15. Which of the following is equal to [10] - [9] ?
(A)[1] (B)[2] (C)[3] (D)[4] (E)[5]
A: D
****
Q: If \(f(x) = 3 + \frac { 5 } { x } \) , which of the following CANNOT be a value of \(f(x)\)?
(A)\(-\frac { 5 } { 3 } \) (B)\(-\frac { 3 } { 5 } \) (C)0 (D)\(\frac { 5 } { 3 } \) (E)3
A:
|
E
****
| 4 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
Teacher: You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Teacher: Now, understand the problem? If you are still confused, see the following example:
If k is an integer and \(k = \frac { m } { 3 } \) which of the following must be true? I. m is an even number. II. m is a multiple of 3. III. m is an odd number.
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III
Solution: B
Reason: m isn’t necessarily an even or odd number so A,D,E,C are incorrect. for frac { m } { 3 } to be an integer m must be a multiple of 3.
Now, solve this instance: What is the value of \(a\) if \(a\) is positive and \(a \times a \times a = a + a + a\) ?
(A)\(\frac { 1 } { 3 } \) (B)\(\sqrt { 3 } \) (C)3 (D)\(3\sqrt { 3 } \) (E)9
Student:
|
B
| 2 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
Given the task definition, example input & output, solve the new input case.
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Example: If k is an integer and \(k = \frac { m } { 3 } \) which of the following must be true? I. m is an even number. II. m is a multiple of 3. III. m is an odd number.
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III
Output: B
m isn’t necessarily an even or odd number so A,D,E,C are incorrect. for frac { m } { 3 } to be an integer m must be a multiple of 3.
New input case for you: How many integers greater than 199, when doubled, will yield a 3-digit integer?
(A)200 (B)300 (C)400 (D)1000 (E)More than 1000
Output:
|
B
| 1 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You will be given a definition of a task first, then an example. Follow the example to solve a new instance of the task.
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
If k is an integer and \(k = \frac { m } { 3 } \) which of the following must be true? I. m is an even number. II. m is a multiple of 3. III. m is an odd number.
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III
Solution: B
Why? m isn’t necessarily an even or odd number so A,D,E,C are incorrect. for frac { m } { 3 } to be an integer m must be a multiple of 3.
New input: If \(\frac { a } { b } \) is negative, which of the following must be positive? I. \((a + b)(a - b)\) II. \(1 - ab\) III. \(\frac { b - a } { a } \)
(A)I only (B)II only (C)III only (D)I and II only (E)I,II and III
Solution:
|
B
| 0 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Example input: If k is an integer and \(k = \frac { m } { 3 } \) which of the following must be true? I. m is an even number. II. m is a multiple of 3. III. m is an odd number.
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III
Example output: B
Example explanation: m isn’t necessarily an even or odd number so A,D,E,C are incorrect. for frac { m } { 3 } to be an integer m must be a multiple of 3.
Q: Which of the following is equivalent to \(\frac { 2x^2 - 8 } { x^2 - 4x + 4 } \)?
(A)2 (B)\(\frac { 2(x + 2 } { x - 2 } \) (C)\(\frac { 2(x + 4) } { x - 4 } \) (D)\(\frac { 2x + 2 } { x - 2 } \) (E)\(\frac { 6 } { 4x - 4 } \)
A:
|
B
| 3 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Ex Input:
If a, b, and c are consecutive even integers, such that \(0 < a < b < c\), what is \(c^2 - a^2\) in terms of \(a\) ?
(A)\(8a + 16\) (B)\(4a + 4\) (C)\(8a\) (D)\(4a + 16\) (E)\(4a\)
Ex Output:
A
Ex Input:
If \(4x + 2 = 26\), then \(4x + 8 =\)
(A)32 (B)34 (C)36 (D)38 (E)40
Ex Output:
A
Ex Input:
Which of the following is equivalent to \(\frac { 2x^2 - 8 } { x^2 - 4x + 4 } \)?
(A)2 (B)\(\frac { 2(x + 2 } { x - 2 } \) (C)\(\frac { 2(x + 4) } { x - 4 } \) (D)\(\frac { 2x + 2 } { x - 2 } \) (E)\(\frac { 6 } { 4x - 4 } \)
Ex Output:
|
B
| 1 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Example input: If k is an integer and \(k = \frac { m } { 3 } \) which of the following must be true? I. m is an even number. II. m is a multiple of 3. III. m is an odd number.
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III
Example output: B
Example explanation: m isn’t necessarily an even or odd number so A,D,E,C are incorrect. for frac { m } { 3 } to be an integer m must be a multiple of 3.
Q: If \(\frac{q}{r} = 4\), \(\frac{q}{s} = 6\), and \(s = 2\), what is the value of r?
(A)2 (B)3 (C)5 (D)6 (E)12
A:
|
B
| 3 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Ex Input:
What is the value of \(a\) if \(a\) is positive and \(a \times a \times a = a + a + a\) ?
(A)\(\frac { 1 } { 3 } \) (B)\(\sqrt { 3 } \) (C)3 (D)\(3\sqrt { 3 } \) (E)9
Ex Output:
B
Ex Input:
If \(4 \leq x \leq 12\) and \(-1 \leq y \leq 1\), which of the following gives the set of all possible values of \(xy\)?
(A)\(-4 \leq xy \leq 12\) (B)\(0 \leq xy \leq 12\) (C)\(-12 \leq xy \leq -4\) (D)\(-12 \leq xy \leq 4\) (E)\(-12 \leq xy \leq 12\)
Ex Output:
E
Ex Input:
If \(\frac{q}{r} = 4\), \(\frac{q}{s} = 6\), and \(s = 2\), what is the value of r?
(A)2 (B)3 (C)5 (D)6 (E)12
Ex Output:
|
B
| 1 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Example: If k is an integer and \(k = \frac { m } { 3 } \) which of the following must be true? I. m is an even number. II. m is a multiple of 3. III. m is an odd number.
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III
Example solution: B
Example explanation: m isn’t necessarily an even or odd number so A,D,E,C are incorrect. for frac { m } { 3 } to be an integer m must be a multiple of 3.
Problem: If \(y + 4 = 13\), then \(y - 2\) =
(A)7 (B)8 (C)9 (D)10 (E)11
|
Solution: A
| 5 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Input: Consider Input: Sequence Y: 5, 10, 15, ... Sequence Z: 3, 6, 12, ... The first term in Sequence Y is 5, and each term after the first is 5 more than the preceding term. The first term in sequence Z is 3, and each term after the first is 2 times the preceding term. What is the least value of x such that the xth term of Sequence Z is more than three times the xth term of Sequence Y?
(A)5 (B)6 (C)7 (D)8 (E)9
Output: B
Input: Consider Input: If \(ab = k\), \(b = ka\),and \(k \neq 0\), which of the following could be equal to \(a\)?
(A)0 (B)\(\frac { 1 } { 2 } \) (C)1 (D)b (E)\(\frac { 1 } { b } \)
Output: C
Input: Consider Input: If \(y + 4 = 13\), then \(y - 2\) =
(A)7 (B)8 (C)9 (D)10 (E)11
|
Output: A
| 2 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Example input: If k is an integer and \(k = \frac { m } { 3 } \) which of the following must be true? I. m is an even number. II. m is a multiple of 3. III. m is an odd number.
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III
Example output: B
Example explanation: m isn’t necessarily an even or odd number so A,D,E,C are incorrect. for frac { m } { 3 } to be an integer m must be a multiple of 3.
Q: Which of the following is an equation equivalent to the statement ``12 less than the product of 3 and b is 9''?
(A)\(3(b - 12) = 9\) (B)\(12 - 3b = 9\) (C)\(3b - 12 = 9\) (D)\(12b - 3 = 9\) (E)\(12 + 3b = 9\)
A:
|
C
| 3 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Example input: If k is an integer and \(k = \frac { m } { 3 } \) which of the following must be true? I. m is an even number. II. m is a multiple of 3. III. m is an odd number.
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III
Example output: B
Example explanation: m isn’t necessarily an even or odd number so A,D,E,C are incorrect. for frac { m } { 3 } to be an integer m must be a multiple of 3.
Q: If \(\frac { 4 } { p } \) percent of a positive number is equal to \(p\) percent of the same number, what is the value of \(p\)?
(A)1 (B)2 (C)3 (D)4 (E)5
A:
|
B
| 3 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Ex Input:
For how many ordered pairs of positive integers \((a, b)\) is \(5a + 7b < 20\) ?
(A)One (B)Two (C)Three (D)Four (E)More than four
Ex Output:
C
Ex Input:
If \(8 \times a^2x = a^ { 2x + 3 } \) , what is the value of \(a\) ?
(A)1 (B)2 (C)3 (D)4 (E)5
Ex Output:
B
Ex Input:
If \(6a = 48\) and \(ab = 1\), what is the value of b?
(A)\(\frac{1}{48}\) (B)\(\frac{1}{8}\) (C)\(\frac{1}{6}\) (D)6 (E)8
Ex Output:
|
B
| 1 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Example Input: If \(x > 0\) and \(y < 0\), which of the following must be positive?
(A)\(2y\) (B)\(-2x\) (C)\(-4xy\) (D)\(x + 2y\) (E)\(4(x + y)\)
Example Output: C
Example Input: Which of the following is NOT a factor of \(9^2 - 9 \)?
(A)6 (B)8 (C)12 (D)18 (E)32
Example Output: E
Example Input: If \(|k| < 5\), which of the following must be true? I. \(-5 < k < 5\) II. \(k^2 < 5\) III. \(k^3 < 5\)
(A)I only (B)II only (C)III only (D)I and II only (E)II and III only
Example Output:
|
A
| 3 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
Detailed Instructions: You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
See one example below:
Problem: If k is an integer and \(k = \frac { m } { 3 } \) which of the following must be true? I. m is an even number. II. m is a multiple of 3. III. m is an odd number.
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III
Solution: B
Explanation: m isn’t necessarily an even or odd number so A,D,E,C are incorrect. for frac { m } { 3 } to be an integer m must be a multiple of 3.
Problem: Twice the sum of two consecutive integers is \(k\) less than five times the smaller integer, where \(k\) is a positive integer. What is the larger integer, in terms of \(k\) ?
(A)\(k + 2\) (B)\(k + 3\) (C)\(k + 5\) (D)\(2k + 2\) (E)\(2k + 6\)
Solution:
|
B
| 4 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
Given the task definition, example input & output, solve the new input case.
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Example: If k is an integer and \(k = \frac { m } { 3 } \) which of the following must be true? I. m is an even number. II. m is a multiple of 3. III. m is an odd number.
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III
Output: B
m isn’t necessarily an even or odd number so A,D,E,C are incorrect. for frac { m } { 3 } to be an integer m must be a multiple of 3.
New input case for you: If \(a = 9c^2 + 4\) and \(b = 7 + 3c\), what is a in terms of b?
(A)\(2b^2 - 7b + 49\) (B)\(b^2 - 14b + 49\) (C)\(b^2 + 14b + 49\) (D)\(b^2 - 14b + 53\) (E)\(b^2 + 14b + 53\)
Output:
|
D
| 1 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Ex Input:
83 \(\frac { - AB } { 31 } \) In the correctly solved subtraction problem above, A and B represent digits. What is the value of \(A \times B\) ?
(A)2 (B)5 (C)7 (D)10 (E)52
Ex Output:
D
Ex Input:
If \(\frac { m + m } { m \times m } = 8\) and \(m \neq 0\), what is the value of \(m\)?
(A)\(\frac { 1 } { 4 } \) (B)\(\frac { 1 } { 2 } \) (C)\(\frac { 2 } { 3 } \) (D)\(\frac { 3 } { 4 } \) (E)\(\frac { 4 } { 5 } \)
Ex Output:
A
Ex Input:
Twice the sum of two consecutive integers is \(k\) less than five times the smaller integer, where \(k\) is a positive integer. What is the larger integer, in terms of \(k\) ?
(A)\(k + 2\) (B)\(k + 3\) (C)\(k + 5\) (D)\(2k + 2\) (E)\(2k + 6\)
Ex Output:
|
B
| 1 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
instruction:
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
question:
If \(x^ { -1 } h = x^ { 3 } h^2\), what does \(h\) equal in terms of \(x\)?
(A)\(\frac { 1 } { x } \) (B)\(\frac { 1 } { x^2 } \) (C)\(\frac { 1 } { x^3 } \) (D)\(\frac { 1 } { x^4 } \) (E)\(x^4\)
answer:
D
question:
If \(f(x) = \sqrt{x^2 - 4}\), then \(f(x)\) is undefined for which of the following values of x?
(A)\(-6\) (B)\(-4\) (C)\(-2\) (D)0 (E)2
answer:
D
question:
If \(a = 9c^2 + 4\) and \(b = 7 + 3c\), what is a in terms of b?
(A)\(2b^2 - 7b + 49\) (B)\(b^2 - 14b + 49\) (C)\(b^2 + 14b + 49\) (D)\(b^2 - 14b + 53\) (E)\(b^2 + 14b + 53\)
answer:
|
D
| 9 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Input: Consider Input: If 0.05 percent of n is 5, what is 5 percent of n?
(A)900 (B)700 (C)500 (D)0.007 (E)0.005
Output: C
Input: Consider Input: If \(f(x) = \frac{x + 4}{x}\) and \(g(x) = x^2 - 6\), what is the difference between \(f(x)\) and \(g(x)\) when \(x = 2\)?
(A)1 (B)2 (C)3 (D)5 (E)6
Output: D
Input: Consider Input: 83 \(\frac { - AB } { 31 } \) In the correctly solved subtraction problem above, A and B represent digits. What is the value of \(A \times B\) ?
(A)2 (B)5 (C)7 (D)10 (E)52
|
Output: D
| 2 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Input: Consider Input: If a and b are positive integers and the ratio of \(a + 2\) to \(b + 2\) is the same as the ratio of \(a + 4\) to \(b + 4\), which of the following must be true? I. \(a = b\) II. \(a = 2\) III. \(b = 2a\)
(A)none (B)I only (C)II only (D)III only (E)II and III only
Output: B
Input: Consider Input: If \(\frac{q}{r} = 4\), \(\frac{q}{s} = 6\), and \(s = 2\), what is the value of r?
(A)2 (B)3 (C)5 (D)6 (E)12
Output: B
Input: Consider Input: Let the \(n\)th term of a sequence \(a_n\) be defined by \(a_n = 4n + 2\). What is the value of \((a_{50} - a_{40})\)?
(A)40 (B)36 (C)32 (D)28 (E)24
|
Output: A
| 2 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Q: If \(5c + 3 = 3c + 5\), what is the value of \(c\)?
(A)-1 (B)0 (C)1 (D)3 (E)5
A: C
****
Q: If \(\frac { 2x + 10\sqrt { x } + 12 } { \sqrt { x } + 3 } = 3\sqrt { x } \), what is the value of \(x\)?
(A)0 (B)2 (C)4 (D)9 (E)16
A: E
****
Q: \begin { gather* } 4, 8, 12, 16, ...\end { gather* } The first term in the sequence is 4, and each term after the first is determined by adding 4. What is the value of the 20th term?
(A)20 (B)40 (C)60 (D)80 (E)100
A:
|
D
****
| 4 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
One example: If k is an integer and \(k = \frac { m } { 3 } \) which of the following must be true? I. m is an even number. II. m is a multiple of 3. III. m is an odd number.
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III
Solution is here: B
Explanation: m isn’t necessarily an even or odd number so A,D,E,C are incorrect. for frac { m } { 3 } to be an integer m must be a multiple of 3.
Now, solve this: If \((a^ { \frac { 1 } { 2 } } )^3 (a^3)^ { \frac { 1 } { 2 } } = a^n\), then \(n\) =
(A)2 (B)4 (C)8 (D)9 (E)19.25
Solution:
|
B
| 6 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Let me give you an example: If k is an integer and \(k = \frac { m } { 3 } \) which of the following must be true? I. m is an even number. II. m is a multiple of 3. III. m is an odd number.
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III
The answer to this example can be: B
Here is why: m isn’t necessarily an even or odd number so A,D,E,C are incorrect. for frac { m } { 3 } to be an integer m must be a multiple of 3.
OK. solve this:
If \(x \wedge y\) is defined by the expression \((x - y)^x + (x + y)^y\), what is the value of \(4 \wedge 2\)?
(A)52 (B)44 (C)28 (D)20 (E)16
Answer:
|
A
| 8 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
[Q]: If the fraction \(\frac{1}{21}\) equals the repeating decimal 0.0476190476190..., what is the 51st digit after the decimal point of the repeating decimal?
(A)0 (B)1 (C)4 (D)6 (E)7
[A]: E
[Q]: If \(a^3 - b = a^3 - 5\), then \(b =\)
(A)\(-5\) (B)\(-\sqrt[3]{5}\) (C)\(\sqrt[3]{5}\) (D)5 (E)15
[A]: D
[Q]: If \(x^{\frac{1}{2}} = 3\), then what is the value of \(x^2\)?
(A)\(\frac{1}{3}\) (B)6 (C)9 (D)12 (E)81
[A]:
|
E
| 5 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
One example: If k is an integer and \(k = \frac { m } { 3 } \) which of the following must be true? I. m is an even number. II. m is a multiple of 3. III. m is an odd number.
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III
Solution is here: B
Explanation: m isn’t necessarily an even or odd number so A,D,E,C are incorrect. for frac { m } { 3 } to be an integer m must be a multiple of 3.
Now, solve this: If \(c\) and \(d\) are integers and \(c^2 - d^2\) is even, which of the following must be true?
(A)\(cd\) is odd (B)\(cd\) is even (C)\(c + d\) is odd (D)\(c + d\) is even (E)\(c - d\) is odd
Solution:
|
D
| 6 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Input: Consider Input: If \(-1 < y < 0\), which of the following is the greatest?
(A)\(y^2\) (B)\(1 - y\) (C)\(1 + y\) (D)\(2y\) (E)\(\frac{1}{y + 2}\)
Output: B
Input: Consider Input: If \(r = -2\) and \(s = 5\), what is the value of \(r^2 (2r + s)\)?
(A)\(-36\) (B)\(-28\) (C)\(-4\) (D)4 (E)36
Output: D
Input: Consider Input: If in a certain sequence the first term is 8 and every subsequent term is determined by adding 15 to the previous term, what is the value of the 50th term?
(A)743 (B)750 (C)753 (D)758 (E)773
|
Output: A
| 2 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Example: If k is an integer and \(k = \frac { m } { 3 } \) which of the following must be true? I. m is an even number. II. m is a multiple of 3. III. m is an odd number.
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III
Example solution: B
Example explanation: m isn’t necessarily an even or odd number so A,D,E,C are incorrect. for frac { m } { 3 } to be an integer m must be a multiple of 3.
Problem: If \(n = \frac { 3m + 2 } { 2 } \) and the value of m is decreased by 4, then the value of n is decreased by how much?
(A)4 (B)6 (C)8 (D)14 (E)18
|
Solution: B
| 5 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Input: Consider Input: The members of set A are the single digit prime numbers. Two numbers are selected at random from set A. What is the probability that the sum of the two selected numbers is even?
(A)0 (B)\(\frac { 1 } { 6 } \) (C)\(\frac { 1 } { 3 } \) (D)\(\frac { 1 } { 2 } \) (E)1
Output: D
Input: Consider Input: If \(4 \leq x \leq 12\) and \(-1 \leq y \leq 1\), which of the following gives the set of all possible values of \(xy\)?
(A)\(-4 \leq xy \leq 12\) (B)\(0 \leq xy \leq 12\) (C)\(-12 \leq xy \leq -4\) (D)\(-12 \leq xy \leq 4\) (E)\(-12 \leq xy \leq 12\)
Output: E
Input: Consider Input: If \(n = \frac { 3m + 2 } { 2 } \) and the value of m is decreased by 4, then the value of n is decreased by how much?
(A)4 (B)6 (C)8 (D)14 (E)18
|
Output: B
| 2 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
TASK DEFINITION: You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
PROBLEM: The average (arithmetic mean) of two numbers is equal to twice the positive difference between the two numbers. If the larger number is 35, what is the smaller number?
(A)3 (B)9 (C)15 (D)21 (E)27
SOLUTION: D
PROBLEM: Let the function f be defined by \(f(t) = 6t\) for all numbers t. Which of the following is equivalent to \(f(t - r)\)?
(A)\(\frac{t - r}{6}\) (B)\(6t - r\) (C)\(6t - 6r\) (D)\(12(t - r)\) (E)36tr
SOLUTION: C
PROBLEM: If \(4 < \sqrt { 6k } < 5\), then \(k\) =
(A)1 (B)3 (C)5 (D)7 (E)9
SOLUTION:
|
B
| 8 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
TASK DEFINITION: You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
PROBLEM: \((3a^2b^3)^3\) =
(A)\(9a^3b^6\) (B)\(9a^6b^9\) (C)\(27a^3b^6\) (D)\(27a^6b^9\) (E)\(27a^8b^27\)
SOLUTION: D
PROBLEM: If \(abcd = 3\) and \(abce = 0\), which of the following must be true?
(A)\(e = 0\) (B)\(c = 0\) (C)\(a > 0\) (D)\(b < 0\) (E)\(b > 3\)
SOLUTION: A
PROBLEM: If the average (arithmetic mean) of six consecutive odd integers is \(m\), which of the following is the expression for the smallest odd integer?
(A)\(6m - 6\) (B)\(2m - 4\) (C)\(m - 6\) (D)\(m - 5\) (E)\(m - 4\)
SOLUTION:
|
D
| 8 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
One example: If k is an integer and \(k = \frac { m } { 3 } \) which of the following must be true? I. m is an even number. II. m is a multiple of 3. III. m is an odd number.
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III
Solution is here: B
Explanation: m isn’t necessarily an even or odd number so A,D,E,C are incorrect. for frac { m } { 3 } to be an integer m must be a multiple of 3.
Now, solve this: 1. Choose a number between 0.5 and 0.99. 2. Multiply the number from the previous step by 20. 3. Determine the largest integer less than or equal to the number obtained from the previous step. 4. Subtract 4 from the number obtained from the previous step. 5. Write down the resulting number. Which of the following could be a number written in step 5 after steps 1 through 4 have been performed?
(A)0 (B)5 (C)7.4 (D)14 (E)17
Solution:
|
D
| 6 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
[EX Q]: If a positive number a is 150 percent of \(4p\), and if \(p\) is 25 percent of \(8b\), then what is the value of \(\frac { a } { b } \)?
(A)4 (B)8 (C)12 (D)16 (E)32
[EX A]: C
[EX Q]: If \(3(a + 2b) = 7\), what is the value of \(9a + 18b\)?
(A)21 (B)28 (C)49 (D)63 (E)81
[EX A]: A
[EX Q]: For how many positive numbers \(a\) is it true that \(a \times a \times a = a + a + a\) ?
(A)0 (B)1 (C)2 (D)3 (E)more than 3
[EX A]:
|
B
| 6 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
--------
Question: If 125 percent of x is 150, what is x percent of 75?
(A)70 (B)90 (C)120 (D)150 (E)185
Answer: B
Question: Set A consists of all even numbers between 10 and 20, inclusive. Set B consists of all multiples of 3 between 7 and 19, inclusive. If set C consists of all the numbers that appear both in set A and set B, how many members does set C have?
(A)Two (B)Five (C)Seven (D)Eight (E)Ten
Answer: A
Question: If the sum of all the positive even integers less than 1000 is A, what is the sum of all the positive odd integers less than 1000?
(A)\(A - 998\) (B)\(A - 499\) (C)\(A + 1\) (D)\(A + 500\) (E)\(\frac { A } { 2 } + 999\)
Answer:
|
D
| 7 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
One example is below.
Q: If k is an integer and \(k = \frac { m } { 3 } \) which of the following must be true? I. m is an even number. II. m is a multiple of 3. III. m is an odd number.
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III
A: B
Rationale: m isn’t necessarily an even or odd number so A,D,E,C are incorrect. for frac { m } { 3 } to be an integer m must be a multiple of 3.
Q: If \(\sqrt { x + a + b } = \sqrt { x - a - b } \), which of the following must be true?
(A)\(a = 0\) (B)\(b = 0\) (C)\(ab = 0\) (D)\(a + b = 0\) (E)\(a - b = 0\)
A:
|
D
| 9 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
[Q]: If \(\frac { m + m } { m \times m } = \frac { 1 } { 5 } \), which of the following must be true? I. m = 0 II. m = 5 III. m = 10
(A)I only (B)II only (C)III only (D)I and II only (E)I and III only
[A]: C
[Q]: If \(k^6 = m^ { -2 } n^4\), where \(k\), \(m\), and \(n\) are positive numbers, which of the following is the value of \(m\)?
(A)\(k^3n^2\) (B)\(\frac { k^3 } { n^2 } \) (C)\(\frac { 1 } { k^3n^2 } \) (D)\(\frac { k^6 } { n^3 } \) (E)\(\frac { n^2 } { k^3 } \)
[A]: E
[Q]: If \(m^2 + 7 = 29\), then \(m^2 - 7 =\)
(A)15 (B)22 (C)71 (D)78 (E)484
[A]:
|
A
| 5 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
One example: If k is an integer and \(k = \frac { m } { 3 } \) which of the following must be true? I. m is an even number. II. m is a multiple of 3. III. m is an odd number.
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III
Solution is here: B
Explanation: m isn’t necessarily an even or odd number so A,D,E,C are incorrect. for frac { m } { 3 } to be an integer m must be a multiple of 3.
Now, solve this: If \(m^{-1}n = 2\), what does n equal in terms of m?
(A)\(-2m\) (B)\(\frac{1}{m}\) (C)\(\frac{2}{m}\) (D)2m (E)\(m^2\)
Solution:
|
D
| 6 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
instruction:
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
question:
For all real numbers, \(f(x) = \frac { x^2 + 1 } { 2 } \). If \(f(a) = 25\) and \(f(11) = b\), which of the following could be the value of \(b - a\) ?
(A)-14 (B)36 (C)68 (D)77 (E)86
answer:
C
question:
What is the sum of 15 consecutive integers if the middle integer is 60?
(A)45 (B)90 (C)450 (D)500 (E)900
answer:
E
question:
If \(m^{-1}n = 2\), what does n equal in terms of m?
(A)\(-2m\) (B)\(\frac{1}{m}\) (C)\(\frac{2}{m}\) (D)2m (E)\(m^2\)
answer:
|
D
| 9 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
instruction:
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
question:
If \(f(x) = 2x^2 - 4x - 16\) and \(g(x) = x^2 - 3x - 4\), which of the following is an expression for \(\frac { f(x) } { g(x) } \) ?
(A)\(\frac { 22 } { 3 } \) (B)\(x^2 - x - 12\) (C)\(x^2 + \frac { 4 } { 3 } x + 4\) (D)\(\frac { 2x + 4 } { x + 1 } \) (E)\(\frac { 2x - 4 } { x - 1 } \)
answer:
D
question:
If \(x > 0\) and \(y < 0\), which of the following must be positive?
(A)\(2y\) (B)\(-2x\) (C)\(-4xy\) (D)\(x + 2y\) (E)\(4(x + y)\)
answer:
C
question:
A clever integer is defined as an integer that is greater than 20, less than 100 and such that the sum of its digits is 9. What fraction of all clever integers is divisible by 27?
(A)\(\frac { 1 } { 8 } \) (B)\(\frac { 1 } { 4 } \) (C)\(\frac { 3 } { 8 } \) (D)\(\frac { 1 } { 2 } \) (E)\(\frac { 5 } { 8 } \)
answer:
|
C
| 9 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
TASK DEFINITION: You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
PROBLEM: If \(x + y = a\), \(y + z = b\) and \(x + z = c\), what is the average (arithmetic mean) of \(x\), \(y\), and \(z\)?
(A)\(\frac { a + b + c } { 2 } \) (B)\(\frac { a + b + c } { 3 } \) (C)\(\frac { a + b + c } { 4 } \) (D)\(\frac { a + b + c } { 6 } \) (E)\(\frac { a + b + c } { 12 } \)
SOLUTION: D
PROBLEM: Squaring the product of z and 6 gives the same result as squaring the difference of z and 6. Which of the following equations could be used to find all the possible values of z?
(A)\(6z^2 = (z + 6)^2\) (B)\((6z)^2 = z^2 + 6^2\) (C)\(6^2 z = z^2 - 6^2\) (D)\((6z)^2 = (z - 6)^2\) (E)\(6z^2 = z^2 + 6^2\)
SOLUTION: D
PROBLEM: For any positive integer \(n > 1\), \(n!\) represents the product of the first \(n\) positive integers. For example, \(3! = 1 \times 2 \times 3 = 6\). Which of the following is (are) equal to \(\frac { 10! } { 8! } \) ? I. \(5! - 4! - 3!\) II. \(\frac { 5! } { 4! } \) III. \(15(3!)\)
(A)I only (B)II only (C)III only (D)I and III only (E)I, II and III
SOLUTION:
|
D
| 8 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Q: If \(x = \frac { w^2 } { y } \) and \(y = \frac { 1 } { w^2 } \), what is the value of \(\frac { x } { y } \) in terms of \(w\) ?
(A)\(w^-4\) (B)\(w^-2\) (C)\(w^2\) (D)\(w^4\) (E)\(w^6\)
A: E
****
Q: \begin{gather*} 3, 8,13,18,23,28, 33, 38 \end{gather*} If from the sequence of numbers above, a new sequence is created by increasing each odd-valued term by 3 and decreasing each even-valued term by 2, the sum of the terms of this new sequence is how much greater than the sum of the terms of the original sequence?
(A)4 (B)6 (C)8 (D)10 (E)12
A: A
****
Q: If \(x \neq 0\), 1, which of the following is equivalent to \(\frac { x^2 - 1 } { x^2 - x } \)?
(A)\(\frac { 1 } { x } \) (B)\(\frac { x + 1 } { x - 1 } \) (C)\(\frac { x + 1 } { x } \) (D)\(\frac { x - 1 } { x + 1 } \) (E)\(\frac { x - 1 } { x } \)
A:
|
C
****
| 4 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Ex Input:
If \(a = \frac{12b^4}{c}\), what happens to the value of a when both b and c are tripled?
(A)a is multiplied by 27 (B)a is multiplied by 12 (C)a is multiplied by 9 (D)a is tripled (E)a is unchanged
Ex Output:
A
Ex Input:
If \(f(x) = x^{-3} + x^{\frac{3}{2}}\), what is the value of \(f(3)\)?
(A)\(\frac{1 + 3\sqrt{3}}{27}\) (B)\(\frac{1 + 3\sqrt{3}}{81}\) (C)\(\frac{1 + 81\sqrt{3}}{27}\) (D)\(1 + 27\sqrt{3}\) (E)\(27 + 81\sqrt{3}\)
Ex Output:
C
Ex Input:
If \(m^ { 2a } x m^b = m^6\) and \(\frac { m^a } { m^b } = \frac { 1 } { m^3 } \), what is the value of \(a + b\)?
(A)2 (B)4 (C)5 (D)7 (E)9
Ex Output:
|
C
| 1 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
One example: If k is an integer and \(k = \frac { m } { 3 } \) which of the following must be true? I. m is an even number. II. m is a multiple of 3. III. m is an odd number.
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III
Solution is here: B
Explanation: m isn’t necessarily an even or odd number so A,D,E,C are incorrect. for frac { m } { 3 } to be an integer m must be a multiple of 3.
Now, solve this: Which of the following CANNOT be expressed as the sum of three consecutive integers?
(A)18 (B)24 (C)28 (D)33 (E)36
Solution:
|
C
| 6 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
If \(f(x) = |x| + 2\), which of the following is the LEAST possible value of \(f(x)\) ?
(A)-2 (B)-1 (C)0 (D)1 (E)2
E
If \(\frac { x } { 2 } < 12\) and \(y = x - 4\), then \((x, y)\) could equal
(A)(5, 9) (B)(19, 23) (C)(20, 17) (D)(22, 18) (E)(30, 26)
D
If \(3a + 3(b + 1) = c\), what is \(b + 1\) in terms of a and c?
(A)\(\frac{c}{9a}\) (B)\(\frac{c}{3} - a\) (C)\(\frac{c}{3} + a\) (D)\(\frac{c}{3} - 3a\) (E)\(\frac{c}{3} + 3a\)
|
B
| 0 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
Teacher: You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Teacher: Now, understand the problem? If you are still confused, see the following example:
If k is an integer and \(k = \frac { m } { 3 } \) which of the following must be true? I. m is an even number. II. m is a multiple of 3. III. m is an odd number.
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III
Solution: B
Reason: m isn’t necessarily an even or odd number so A,D,E,C are incorrect. for frac { m } { 3 } to be an integer m must be a multiple of 3.
Now, solve this instance: If \((x + y)(x - y) + (4 - y)(2 - y) = 0\), then what is the value of \(y\) when \(x\) equals 8 ?
(A)-12 (B)\(-9 \frac { 1 } { 3 } \) (C)6 (D)\(9 \frac { 1 } { 3 } \) (E)12
Student:
|
E
| 2 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
One example is below.
Q: If k is an integer and \(k = \frac { m } { 3 } \) which of the following must be true? I. m is an even number. II. m is a multiple of 3. III. m is an odd number.
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III
A: B
Rationale: m isn’t necessarily an even or odd number so A,D,E,C are incorrect. for frac { m } { 3 } to be an integer m must be a multiple of 3.
Q: \(a, b, c, d\), and \(e\) are all integers, where \(a < b < c < d < e\). If \(c\), \(d\), and \(e\) are each greater than the product of the next two smaller values (for example, \(d > bc\)), and \(e = 6\), which of the following could equal zero?
(A)\(a\) only (B)\(b\) only (C)\(b\) or \(c\) only (D)\(a\), \(b\), or \(c\) only (E)\(a\), \(b\), \(c\), or \(d\) only
A:
|
B
| 9 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Let me give you an example: If k is an integer and \(k = \frac { m } { 3 } \) which of the following must be true? I. m is an even number. II. m is a multiple of 3. III. m is an odd number.
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III
The answer to this example can be: B
Here is why: m isn’t necessarily an even or odd number so A,D,E,C are incorrect. for frac { m } { 3 } to be an integer m must be a multiple of 3.
OK. solve this:
The nth term of a sequence is defined to be \(5n + 2\). The 35th term is how much greater than the 30th term?
(A)5 (B)18 (C)25 (D)36 (E)40
Answer:
|
C
| 8 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
Detailed Instructions: You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
See one example below:
Problem: If k is an integer and \(k = \frac { m } { 3 } \) which of the following must be true? I. m is an even number. II. m is a multiple of 3. III. m is an odd number.
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III
Solution: B
Explanation: m isn’t necessarily an even or odd number so A,D,E,C are incorrect. for frac { m } { 3 } to be an integer m must be a multiple of 3.
Problem: \begin { gather* } y = -3x + 2 \end { gather* } According to the equation above, if the value of x increases by 10, which of the following statements is true?
(A)The value of \(y\) will increase by 30. (B)The value of \(y\) will increase by 28. (C)The value of \(y\) will decrease by 28. (D)The value of \(y\) will decrease by 30 (E)The value of \(y\) will decrease by2.
Solution:
|
D
| 4 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Let me give you an example: If k is an integer and \(k = \frac { m } { 3 } \) which of the following must be true? I. m is an even number. II. m is a multiple of 3. III. m is an odd number.
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III
The answer to this example can be: B
Here is why: m isn’t necessarily an even or odd number so A,D,E,C are incorrect. for frac { m } { 3 } to be an integer m must be a multiple of 3.
OK. solve this:
If \(a < 0\) and \((a - 4)^2 = 36\), what is \(a\) ?
(A)-32 (B)-10 (C)-6 (D)-4 (E)-2
Answer:
|
E
| 8 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Input: Consider Input: If \(8 \times 27 \times 64 = r^3\), what is the value of r?
(A)6 (B)12 (C)18 (D)24 (E)32
Output: D
Input: Consider Input: If \(8 - (8 - m) = 8\), then \(m\) =
(A)-16 (B)-8 (C)0 (D)8 (E)16
Output: D
Input: Consider Input: \begin { gather* } y = -3x + 2 \end { gather* } According to the equation above, if the value of x increases by 10, which of the following statements is true?
(A)The value of \(y\) will increase by 30. (B)The value of \(y\) will increase by 28. (C)The value of \(y\) will decrease by 28. (D)The value of \(y\) will decrease by 30 (E)The value of \(y\) will decrease by2.
|
Output: D
| 2 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
[Q]: If 5 more than 3 times a certain number is 3 less than the number, what is the number?
(A)\(-7\) (B)\(-4\) (C)\(-\frac{1}{2}\) (D)4 (E)7
[A]: B
[Q]: If \(8a < 3b\) and \(3b < 10c\), which of the following is true?
(A)\(8a < 10c\) (B)\(10c < 8a\) (C)\(c < a\) (D)\(8a = 10c\) (E)\(8a + 1 = 10c\)
[A]: A
[Q]: If \(m\) and \(n\) are integers and \((x + m)(x + n) = x^2 + 11x + c\), what is the greatest possible value of \(c\) ?
(A)22 (B)24 (C)28 (D)30 (E)33
[A]:
|
D
| 5 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
If \(a + b < 0\) and \(c < 0\), which of the following must be true?
(A)\(a + b < c\) (B)\(\frac { a } { c } + \frac { b } { c } < 0\) (C)\(ac + bc > 0\) (D)\(a + b + c > 0\) (E)\(a + b - c > 0\)
C
If \(\frac { z } { 3 } - \frac { 5 } { 6 } = |\frac { z } { 3 } - \frac { 5 } { 6 } |\), what is the least possible integer value of \(z\) ?
(A)-3 (B)0 (C)2 (D)3 (E)6
D
If \(2^{2x - 3} = 8\), then what is the value of x?
(A)0 (B)1 (C)2 (D)3 (E)4
|
D
| 0 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
Part 1. Definition
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Part 2. Example
If k is an integer and \(k = \frac { m } { 3 } \) which of the following must be true? I. m is an even number. II. m is a multiple of 3. III. m is an odd number.
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III
Answer: B
Explanation: m isn’t necessarily an even or odd number so A,D,E,C are incorrect. for frac { m } { 3 } to be an integer m must be a multiple of 3.
Part 3. Exercise
If the average (arithmetic mean) of 9 different positive integers is 15 and the median is 20, what is a possible value of the greatest of the 9 integers?
(A)99 (B)75 (C)39 (D)30 (E)28
Answer:
|
C
| 7 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Let me give you an example: If k is an integer and \(k = \frac { m } { 3 } \) which of the following must be true? I. m is an even number. II. m is a multiple of 3. III. m is an odd number.
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III
The answer to this example can be: B
Here is why: m isn’t necessarily an even or odd number so A,D,E,C are incorrect. for frac { m } { 3 } to be an integer m must be a multiple of 3.
OK. solve this:
If the set of four integers \(n\), \(2n\), \(n + 2n\), and \(n + 4n\) consists only of prime numbers, then the set is called a "prime convergence". How many such sets exist?
(A)None (B)One (C)Three (D)Four (E)More than four
Answer:
|
A
| 8 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
Part 1. Definition
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Part 2. Example
If k is an integer and \(k = \frac { m } { 3 } \) which of the following must be true? I. m is an even number. II. m is a multiple of 3. III. m is an odd number.
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III
Answer: B
Explanation: m isn’t necessarily an even or odd number so A,D,E,C are incorrect. for frac { m } { 3 } to be an integer m must be a multiple of 3.
Part 3. Exercise
For all positive values of \(a\) and \(b\), let \(a \odot b\) be defined by \(a \odot b = \frac { ab } { a + b } \)? If \((10 \odot 10)^2 - (8 \odot 8)^2 = k\), where \(k\) is a constant, what is the value of \(k\)?
(A)1 (B)2 (C)4 (D)6 (E)9
Answer:
|
E
| 7 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Input: Consider Input: What is the absolute value of the product of all the integers from -6 to 3, inclusive?
(A)-120 (B)-15 (C)0 (D)15 (E)120
Output: C
Input: Consider Input: If \(3^k + 3^k + 3^k = (27)^5\), what is the value of \(k\) ?
(A)15 (B)14 (C)9 (D)6 (E)3
Output: B
Input: Consider Input: What is \(p\) percent of \(\frac { k } { 2 } \)?
(A)\(0.5 pk\) (B)\(0.05 pk\) (C)\(0.005 pk\) (D)\(0.0005 pk\) (E)\(50 pk\)
|
Output: C
| 2 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
TASK DEFINITION: You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
PROBLEM: How many integers greater than 199, when doubled, will yield a 3-digit integer?
(A)200 (B)300 (C)400 (D)1000 (E)More than 1000
SOLUTION: B
PROBLEM: If a, b, and c are consecutive even integers, such that \(0 < a < b < c\), what is \(c^2 - a^2\) in terms of \(a\) ?
(A)\(8a + 16\) (B)\(4a + 4\) (C)\(8a\) (D)\(4a + 16\) (E)\(4a\)
SOLUTION: A
PROBLEM: If \(r = -2\) and \(s = 5\), what is the value of \(r^2 (2r + s)\)?
(A)\(-36\) (B)\(-28\) (C)\(-4\) (D)4 (E)36
SOLUTION:
|
D
| 8 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
instruction:
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
question:
In the equation \(y = kx\), \(x = 4\) when \(y = 6\) and k is a constant. What is the value of y when \(x = 16\)?
(A)1 (B)2 (C)10 (D)14 (E)24
answer:
E
question:
\begin { gather* } 5, 5k, 5k^2 , 5k^3 , ...\end { gather* } The first term in the sequence above is 5, and each term after the first is \(k\) times the preceding term. If the sum of the first three terms is 15, which of the following could be the value of \(k\) ?
(A)-2 (B)-1 (C)0 (D)2 (E)3
answer:
A
question:
If \(5x + 3 = 21\), then \(5x + 10 =\)
(A)28 (B)30 (C)32 (D)34 (E)36
answer:
|
A
| 9 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Example input: If k is an integer and \(k = \frac { m } { 3 } \) which of the following must be true? I. m is an even number. II. m is a multiple of 3. III. m is an odd number.
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III
Example output: B
Example explanation: m isn’t necessarily an even or odd number so A,D,E,C are incorrect. for frac { m } { 3 } to be an integer m must be a multiple of 3.
Q: If every digit of a whole number is either a 1 or a 7, the number must be
(A)prime (B)odd (C)even (D)divisible by 7 (E)divisible by 11
A:
|
B
| 3 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
Given the task definition, example input & output, solve the new input case.
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Example: If k is an integer and \(k = \frac { m } { 3 } \) which of the following must be true? I. m is an even number. II. m is a multiple of 3. III. m is an odd number.
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III
Output: B
m isn’t necessarily an even or odd number so A,D,E,C are incorrect. for frac { m } { 3 } to be an integer m must be a multiple of 3.
New input case for you: The first term of a sequence is 1 and every term after the first one is 1 more than the square of the preceding term. What is the fifth term?
(A)25 (B)26 (C)256 (D)676 (E)677
Output:
|
E
| 1 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
[Q]: If \(\frac{a}{b} = 4\), \(a = 8c\), and \(c = 9\), what is the value of b?
(A)2 (B)8 (C)18 (D)36 (E)72
[A]: C
[Q]: When the number \(k\), where \(k > 0\), is cubed and multiplied by 4, the result is the same as when the number is divided by 9. What is the value of k?
(A)36 (B)6 (C)\(\frac { 1 } { 6 } \) (D)\(\frac { 1 } { 18 } \) (E)\(\frac { 1 } { 36 } \)
[A]: C
[Q]: If the sum of three numbers is 27, what is the average (arithmetic mean) of the three numbers?
(A)0 (B)9 (C)12 (D)16 (E)18
[A]:
|
B
| 5 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
Detailed Instructions: You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
See one example below:
Problem: If k is an integer and \(k = \frac { m } { 3 } \) which of the following must be true? I. m is an even number. II. m is a multiple of 3. III. m is an odd number.
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III
Solution: B
Explanation: m isn’t necessarily an even or odd number so A,D,E,C are incorrect. for frac { m } { 3 } to be an integer m must be a multiple of 3.
Problem: \begin { gather* } 4, 11, 18, 25, ...\end { gather* } The first four terms in a sequence are shown above. Each term after the first is found by adding 7 to the preceding term. Which term in the sequence is equal to \(4 + 40 \times 7\) ?
(A)The 18th (B)The 36th (C)The 39th (D)The 40th (E)The 41st
Solution:
|
E
| 4 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
Teacher: You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Teacher: Now, understand the problem? If you are still confused, see the following example:
If k is an integer and \(k = \frac { m } { 3 } \) which of the following must be true? I. m is an even number. II. m is a multiple of 3. III. m is an odd number.
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III
Solution: B
Reason: m isn’t necessarily an even or odd number so A,D,E,C are incorrect. for frac { m } { 3 } to be an integer m must be a multiple of 3.
Now, solve this instance: If \(x\) and \(y\) are distinct prime numbers, which of the following has exactly four distinct factors?
(A)\(x^2\) (B)\(xy\) (C)\(xy^2\) (D)\((x + y)^2\) (E)\((x - y)^2\)
Student:
|
B
| 2 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Input: Consider Input: \(\lbrace[(a \times a) + a] \div a\rbrace - a=\)
(A)0 (B)1 (C)\(a\) (D)\(a^2 - a\) (E)\(a^2 - a + 1\)
Output: B
Input: Consider Input: If \(a < 0\) and \((a - 4)^2 = 36\), what is \(a\) ?
(A)-32 (B)-10 (C)-6 (D)-4 (E)-2
Output: E
Input: Consider Input: \begin { gather* } 4, 11, 18, 25, ...\end { gather* } The first four terms in a sequence are shown above. Each term after the first is found by adding 7 to the preceding term. Which term in the sequence is equal to \(4 + 40 \times 7\) ?
(A)The 18th (B)The 36th (C)The 39th (D)The 40th (E)The 41st
|
Output: E
| 2 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
--------
Question: Each of the following is equal to \(\frac { 1 } { 2 } \%\) EXCEPT
(A)\(\frac { \frac { 1 } { 2 } } { 100 } \) (B)\(\frac { 1 } { 200 } \) (C)0.005 (D)\(\frac { 5 } { 1000 } \) (E)\(\frac { 1\% } { 2\% } \)
Answer: E
Question: When the number \(k\), where \(k > 0\), is cubed and multiplied by 4, the result is the same as when the number is divided by 9. What is the value of k?
(A)36 (B)6 (C)\(\frac { 1 } { 6 } \) (D)\(\frac { 1 } { 18 } \) (E)\(\frac { 1 } { 36 } \)
Answer: C
Question: If \(a = b^ { -2 } \) and \(b = \frac { m^1 } { 2 } \), what is \(a\) in terms of \(m\) ?
(A)\(\frac { 1 } { m } \) (B)\(\sqrt { \frac { 1 } { m } } \) (C)\(m^2\) (D)\(\sqrt { m } \) (E)\(-m\)
Answer:
|
A
| 7 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Input: Consider Input: Three times a number is the same as that number subtracted from 12. What is the number?
(A)-6 (B)-2 (C)2 (D)3 (E)4
Output: D
Input: Consider Input: If \(\frac{q}{r} = 4\), \(\frac{q}{s} = 6\), and \(s = 2\), what is the value of r?
(A)2 (B)3 (C)5 (D)6 (E)12
Output: B
Input: Consider Input: If the average (arithmetic mean) of 8 numbers is greater than 10 and less than 12, which of the following could be the sum of the 8 numbers?
(A)70 (B)80 (C)90 (D)100 (E)110
|
Output: C
| 2 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
[EX Q]: If \(a = 3(2c^2 + 3c + 4)\) and \(b = -c + 4\), what is a in terms of b?
(A)\(6b^2 - 48b + 96\) (B)\(6b^2 - 57b + 132\) (C)\(6b^2 - 57b + 144\) (D)\(6b^2 - 9b - 132\) (E)\(6b^2 - 9b + 144\)
[EX A]: C
[EX Q]: If \(xy^2z^3\) is negative, which of the following must be negative?
(A)\(xy\) (B)\(xz\) (C)\(yz\) (D)\(x^2z\) (E)\(xz^2\)
[EX A]: B
[EX Q]: Let \(<a, b>\) be defined as the set of all integers between, but not including, a and b. For example, \(<-3,3> = \{-2, -1,0,1,2\}\). Which of the following does NOT have the same number of elements as the intersection of \(<-4,4>\) and \(<0,7>\)?
(A)\(<-2, 2>\) (B)\(<-1, 4>\) (C)\(<-3, 1>\) (D)\(<3, 7>\) (E)\(<1, 5>\)
[EX A]:
|
B
| 6 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
Given the task definition, example input & output, solve the new input case.
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Example: If k is an integer and \(k = \frac { m } { 3 } \) which of the following must be true? I. m is an even number. II. m is a multiple of 3. III. m is an odd number.
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III
Output: B
m isn’t necessarily an even or odd number so A,D,E,C are incorrect. for frac { m } { 3 } to be an integer m must be a multiple of 3.
New input case for you: If \(3^ { x^2 + y^2 } = \frac { 1 } { 9^xy } \), what is the value of \(x + y\) ?
(A)-2 (B)-1 (C)0 (D)1 (E)2
Output:
|
C
| 1 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
TASK DEFINITION: You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
PROBLEM: \(A = \{ 2, 4, 6 \}\) \(B = \{ 1, 2, 3, 4 \}\) Set \(A\) and \(B\) are shown above. If a is \(a\) member of set \(A\) and \(b\) is a member of set \(B\), how many different values are possible for \(ab\)? If the statement above is true, which of the following must also be true?
(A)6 (B)8 (C)10 (D)12 (E)14
SOLUTION: B
PROBLEM: If\( q = \frac { 1 } { s } \) and \(qs \neq 0\), what is the result of \(\frac { 1 + q } { 1 + s } \) ?
(A)0 (B)\(-q\) (C)1 (D)s (E)q
SOLUTION: E
PROBLEM: For which of the following function does \(f(3) =-f(-3)\)?
(A)\(f(x) = x^2\) (B)\(f(x) =4\) (C)\(f(x)=x+2\) (D)\(f (x) = x^3 +4\) (E)\(f(x) = \frac { 3 } { x } \)
SOLUTION:
|
E
| 8 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
TASK DEFINITION: You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
PROBLEM: If \(|frac { \sqrt { x } } { 2 } | = 2\sqrt { 2 } \), what is the value of \(x\) ?
(A)4 (B)16 (C)\(16 \sqrt { 2 } \) (D)32 (E)64
SOLUTION: D
PROBLEM: Which of the following is NOT a possible value of \(2 - x\), if \(x\) is a one-digit integer?
(A)-8 (B)-6 (C)-4 (D)-2 (E)2
SOLUTION: A
PROBLEM: If \(f(x) = |x - 4|\) , which of the following has the LEAST value?
(A)\(f(8)\) (B)\(f(4)\) (C)\(f(0)\) (D)\(f(-4)\) (E)\(f(-8)\)
SOLUTION:
|
B
| 8 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
TASK DEFINITION: You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
PROBLEM: What is the value of \(b\) if \(1 - \frac { 4 } { b } = \frac { 5 } { 3 } \) ?
(A)-6 (B)-2 (C)\(\frac { 1 } { 4 } \) (D)\(\frac { 2 } { 3 } \) (E)6
SOLUTION: A
PROBLEM: The percent increase from 6 to 16 is equal to the percent increase from 12 to what number?
(A)16 (B)22 (C)23 (D)32 (E)36
SOLUTION: D
PROBLEM: If \(a\), \(b\), and \(c\) are positive numbers such that \(3a = 4b = 5c\), and if \(a + b = kc\), what is the value of \(k\)?
(A)\(\frac { 12 } { 35 } \) (B)\(\frac { 5 } { 7 } \) (C)\(\frac { 10 } { 7 } \) (D)\(\frac { 7 } { 5 } \) (E)\(\frac { 35 } { 12 } \)
SOLUTION:
|
E
| 8 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Let me give you an example: If k is an integer and \(k = \frac { m } { 3 } \) which of the following must be true? I. m is an even number. II. m is a multiple of 3. III. m is an odd number.
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III
The answer to this example can be: B
Here is why: m isn’t necessarily an even or odd number so A,D,E,C are incorrect. for frac { m } { 3 } to be an integer m must be a multiple of 3.
OK. solve this:
If \(k\) is an even integer, which of the following must be an odd integer?
(A)\(k + 2\) (B)\(3k\) (C)\(3k + 2\) (D)\(k(k - 1)\) (E)\((k + 1)(k - 1)\)
Answer:
|
E
| 8 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
TASK DEFINITION: You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
PROBLEM: If \(|k| < 5\), which of the following must be true? I. \(-5 < k < 5\) II. \(k^2 < 5\) III. \(k^3 < 5\)
(A)I only (B)II only (C)III only (D)I and II only (E)II and III only
SOLUTION: A
PROBLEM: If \(x^{\frac{1}{2}} = 4\), then what is the value of \(x^2\)?
(A)\(\frac{1}{2}\) (B)2 (C)4 (D)16 (E)256
SOLUTION: E
PROBLEM: If \(k(a^2 - b^2) = 0\), which of the following could be true? I. \(k = 0\) II. \(a = 5\) and \(b = 5\) III. \(a = -b\)
(A)I only (B)II only (C)III only (D)I and III only (E)I, II, and III
SOLUTION:
|
E
| 8 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Example: If k is an integer and \(k = \frac { m } { 3 } \) which of the following must be true? I. m is an even number. II. m is a multiple of 3. III. m is an odd number.
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III
Example solution: B
Example explanation: m isn’t necessarily an even or odd number so A,D,E,C are incorrect. for frac { m } { 3 } to be an integer m must be a multiple of 3.
Problem: If \(5a - b = 9\) and \(3a + b = 15\), then \(a + b =\)
(A)\(-3\) (B)3 (C)5 (D)9 (E)12
|
Solution: D
| 5 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
You are given a mathematical question described with a circumscribed mathematical vocabulary. Questions in this task usually contain some variables (e.g. X, Y), equations (e.g. X+Y=3) and some relationships (X is greater than Y). Often you need to find the value of the variable using equations and relationships. 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.
Let me give you an example: If k is an integer and \(k = \frac { m } { 3 } \) which of the following must be true? I. m is an even number. II. m is a multiple of 3. III. m is an odd number.
(A)I only (B)II only (C)III only (D)I and II only (E)I, II, and III
The answer to this example can be: B
Here is why: m isn’t necessarily an even or odd number so A,D,E,C are incorrect. for frac { m } { 3 } to be an integer m must be a multiple of 3.
OK. solve this:
If \(3(a + 2b) = 7\), what is the value of \(9a + 18b\)?
(A)21 (B)28 (C)49 (D)63 (E)81
Answer:
|
A
| 8 |
NIv2
|
task104_semeval_2019_task10_closed_vocabulary_mathematical_answer_generation
|
fs_opt
|
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