Lots-of-LoRAs/task1726_mathqa_correct_answer_generation huggingface dataset:
Definition: The task is to generate the correct answer for a given math problem.

Positive Example 1 -
Input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Output: 625

Positive Example 2 -
Input: a 3 - digit positive integer is chosen at random. what is the probability that the product of its digits is even ?
Output: 31 / 36

Negative Example 1 -
Input: if x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y ?
Output: 9

Negative Example 2 -
Input: the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 72, then 1 / m + 1 / n is equal to
Output: 2

Now complete the following example -
Input: Problem: if 75 percent of a class answered the first question on a certain test correctly , 70 percent answered the second question on the test correctly , and 20 percent answered neither of the questions correctly , what percent answered both correctly ?
Output: 


Output: 65
Definition: The task is to generate the correct answer for a given math problem.

Positive Example 1 -
Input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Output: 625

Positive Example 2 -
Input: a 3 - digit positive integer is chosen at random. what is the probability that the product of its digits is even ?
Output: 31 / 36

Negative Example 1 -
Input: if x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y ?
Output: 9

Negative Example 2 -
Input: the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 72, then 1 / m + 1 / n is equal to
Output: 2

Now complete the following example -
Input: Problem: a train 500 m long can cross an electric pole in 50 sec and then find the speed of the train ?
Output: 


Output: 36 kmp
Definition: The task is to generate the correct answer for a given math problem.

Positive Example 1 -
Input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Output: 625

Positive Example 2 -
Input: a 3 - digit positive integer is chosen at random. what is the probability that the product of its digits is even ?
Output: 31 / 36

Negative Example 1 -
Input: if x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y ?
Output: 9

Negative Example 2 -
Input: the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 72, then 1 / m + 1 / n is equal to
Output: 2

Now complete the following example -
Input: Problem: when positive integer x is divided by positive integer y , the remainder is 3 . if x / y = 96.12 , what is the value of y ?
Output: 


Output: 25
Definition: The task is to generate the correct answer for a given math problem.

Positive Example 1 -
Input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Output: 625

Positive Example 2 -
Input: a 3 - digit positive integer is chosen at random. what is the probability that the product of its digits is even ?
Output: 31 / 36

Negative Example 1 -
Input: if x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y ?
Output: 9

Negative Example 2 -
Input: the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 72, then 1 / m + 1 / n is equal to
Output: 2

Now complete the following example -
Input: Problem: right triangle abc is to be drawn in the xy - plane so that the right angle is at a and ab is parallel to the y - axis . if the x - and y - coordinates of a , b , and c are to be integers that are consistent with the inequalities - 8 ≤ x ≤ 2 and 4 ≤ y ≤ 9 , then how many different triangles can be drawn that will meet these conditions ?
Output: 


Output: 4032
Definition: The task is to generate the correct answer for a given math problem.

Positive Example 1 -
Input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Output: 625

Positive Example 2 -
Input: a 3 - digit positive integer is chosen at random. what is the probability that the product of its digits is even ?
Output: 31 / 36

Negative Example 1 -
Input: if x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y ?
Output: 9

Negative Example 2 -
Input: the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 72, then 1 / m + 1 / n is equal to
Output: 2

Now complete the following example -
Input: Problem: a plant manager must assign 8 new workers to one of five shifts . she needs a first , second , and third shift , and two alternate shifts . each of the shifts will receive 2 new workers . how many different ways can she assign the new workers ?
Output: 


Output: 336
Definition: The task is to generate the correct answer for a given math problem.

Positive Example 1 -
Input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Output: 625

Positive Example 2 -
Input: a 3 - digit positive integer is chosen at random. what is the probability that the product of its digits is even ?
Output: 31 / 36

Negative Example 1 -
Input: if x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y ?
Output: 9

Negative Example 2 -
Input: the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 72, then 1 / m + 1 / n is equal to
Output: 2

Now complete the following example -
Input: Problem: by selling an article at rs . 900 , a shopkeeper makes a profit of 25 % . at what price should he sell the article so as to make a loss of 25 % ?
Output: 


Output: s . 540
Definition: The task is to generate the correct answer for a given math problem.

Positive Example 1 -
Input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Output: 625

Positive Example 2 -
Input: a 3 - digit positive integer is chosen at random. what is the probability that the product of its digits is even ?
Output: 31 / 36

Negative Example 1 -
Input: if x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y ?
Output: 9

Negative Example 2 -
Input: the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 72, then 1 / m + 1 / n is equal to
Output: 2

Now complete the following example -
Input: Problem: an electrical appliances store sold this month 400 % more than the average of all the other months in the year . the sales total for this month was approximately what percent of total sales for this year ?
Output: 


Output: 21 % .
Definition: The task is to generate the correct answer for a given math problem.

Positive Example 1 -
Input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Output: 625

Positive Example 2 -
Input: a 3 - digit positive integer is chosen at random. what is the probability that the product of its digits is even ?
Output: 31 / 36

Negative Example 1 -
Input: if x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y ?
Output: 9

Negative Example 2 -
Input: the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 72, then 1 / m + 1 / n is equal to
Output: 2

Now complete the following example -
Input: Problem: which number should replace both the asterisks in ( * / 20 ) x ( * / 80 ) = 1 ?
Output: 


Output: 40
Definition: The task is to generate the correct answer for a given math problem.

Positive Example 1 -
Input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Output: 625

Positive Example 2 -
Input: a 3 - digit positive integer is chosen at random. what is the probability that the product of its digits is even ?
Output: 31 / 36

Negative Example 1 -
Input: if x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y ?
Output: 9

Negative Example 2 -
Input: the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 72, then 1 / m + 1 / n is equal to
Output: 2

Now complete the following example -
Input: Problem: arun purchased 30 kg of wheat at the rate of rs . 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg . he mixed the two and sold the mixture . approximately what price per kg should be sell the mixture to make 15 % profit ?
Output: 


Output: 14.49
Definition: The task is to generate the correct answer for a given math problem.

Positive Example 1 -
Input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Output: 625

Positive Example 2 -
Input: a 3 - digit positive integer is chosen at random. what is the probability that the product of its digits is even ?
Output: 31 / 36

Negative Example 1 -
Input: if x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y ?
Output: 9

Negative Example 2 -
Input: the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 72, then 1 / m + 1 / n is equal to
Output: 2

Now complete the following example -
Input: Problem: a circular mat with diameter 18 inches is placed on a square tabletop , each of whose sides is 24 inches long . which of the following is closest to the fraction of the tabletop covered by the mat ?
Output: 


Output: 3 / 8', 'e ) 5 / 6'
Definition: The task is to generate the correct answer for a given math problem.

Positive Example 1 -
Input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Output: 625

Positive Example 2 -
Input: a 3 - digit positive integer is chosen at random. what is the probability that the product of its digits is even ?
Output: 31 / 36

Negative Example 1 -
Input: if x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y ?
Output: 9

Negative Example 2 -
Input: the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 72, then 1 / m + 1 / n is equal to
Output: 2

Now complete the following example -
Input: Problem: if x < y < z and y - x > 11 , where x is an even integer and y and z are odd integers , what is the least possible value of z - x ?
Output: 


Output: 1
Definition: The task is to generate the correct answer for a given math problem.

Positive Example 1 -
Input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Output: 625

Positive Example 2 -
Input: a 3 - digit positive integer is chosen at random. what is the probability that the product of its digits is even ?
Output: 31 / 36

Negative Example 1 -
Input: if x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y ?
Output: 9

Negative Example 2 -
Input: the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 72, then 1 / m + 1 / n is equal to
Output: 2

Now complete the following example -
Input: Problem: 60 percent of movie theatres in town x have 3 screens or less . 20 % of those theatres sell an average of more than $ 300 worth of popcorn per showing . 56 percent of all the movie theatres in town x sell $ 300 or less of popcorn per showing . what percent of all the stores on the street have 4 or more screens and sell an average of more than $ 300 worth of popcorn per day ?
Output: 


Output: 32
Definition: The task is to generate the correct answer for a given math problem.

Positive Example 1 -
Input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Output: 625

Positive Example 2 -
Input: a 3 - digit positive integer is chosen at random. what is the probability that the product of its digits is even ?
Output: 31 / 36

Negative Example 1 -
Input: if x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y ?
Output: 9

Negative Example 2 -
Input: the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 72, then 1 / m + 1 / n is equal to
Output: 2

Now complete the following example -
Input: Problem: a and b can do a work in 5 days and 10 days respectively . a starts the work and b joins him after 4 days . in how many days can they complete the remaining work ?
Output: 


Output: 2 / 3 days
Definition: The task is to generate the correct answer for a given math problem.

Positive Example 1 -
Input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Output: 625

Positive Example 2 -
Input: a 3 - digit positive integer is chosen at random. what is the probability that the product of its digits is even ?
Output: 31 / 36

Negative Example 1 -
Input: if x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y ?
Output: 9

Negative Example 2 -
Input: the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 72, then 1 / m + 1 / n is equal to
Output: 2

Now complete the following example -
Input: Problem: if the sides of a rectangle are increased by 35 % , what is the percentage increase in the area ?
Output: 


Output: 82.25 %
Definition: The task is to generate the correct answer for a given math problem.

Positive Example 1 -
Input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Output: 625

Positive Example 2 -
Input: a 3 - digit positive integer is chosen at random. what is the probability that the product of its digits is even ?
Output: 31 / 36

Negative Example 1 -
Input: if x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y ?
Output: 9

Negative Example 2 -
Input: the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 72, then 1 / m + 1 / n is equal to
Output: 2

Now complete the following example -
Input: Problem: set # 1 = { a , b , c , d , e , f } set # 2 = { k , l , m , n , o , p } there are these two sets of letters , and you are going to pick exactly one letter from each set . what is the probability of picking at least one vowel ?
Output: 


Output: 4 /
Definition: The task is to generate the correct answer for a given math problem.

Positive Example 1 -
Input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Output: 625

Positive Example 2 -
Input: a 3 - digit positive integer is chosen at random. what is the probability that the product of its digits is even ?
Output: 31 / 36

Negative Example 1 -
Input: if x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y ?
Output: 9

Negative Example 2 -
Input: the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 72, then 1 / m + 1 / n is equal to
Output: 2

Now complete the following example -
Input: Problem: what is the least number of squares tiles required to pave the floor of a room 15.17 m long and 9.02 m broad ?
Output: 


Output: 814', 'b ) 266', 'c ) 287', 'd ) 999', 'e ) 661'
Definition: The task is to generate the correct answer for a given math problem.

Positive Example 1 -
Input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Output: 625

Positive Example 2 -
Input: a 3 - digit positive integer is chosen at random. what is the probability that the product of its digits is even ?
Output: 31 / 36

Negative Example 1 -
Input: if x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y ?
Output: 9

Negative Example 2 -
Input: the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 72, then 1 / m + 1 / n is equal to
Output: 2

Now complete the following example -
Input: Problem: a straight line in the xy - plane has a slope of 2 and a y - intercept of 2 . on this line , what is the x - coordinate of the point whose y - coordinate is 540 ?
Output: 


Output: 269
Definition: The task is to generate the correct answer for a given math problem.

Positive Example 1 -
Input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Output: 625

Positive Example 2 -
Input: a 3 - digit positive integer is chosen at random. what is the probability that the product of its digits is even ?
Output: 31 / 36

Negative Example 1 -
Input: if x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y ?
Output: 9

Negative Example 2 -
Input: the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 72, then 1 / m + 1 / n is equal to
Output: 2

Now complete the following example -
Input: Problem: car dealership x , the total profit from sales increased by 30 percent over the previous years , while the number of cars sold decreased by 30 percent over the previous years . approximately what was the average percent increase in profit per car over the previous year .
Output: 


Output: 85.71
Definition: The task is to generate the correct answer for a given math problem.

Positive Example 1 -
Input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Output: 625

Positive Example 2 -
Input: a 3 - digit positive integer is chosen at random. what is the probability that the product of its digits is even ?
Output: 31 / 36

Negative Example 1 -
Input: if x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y ?
Output: 9

Negative Example 2 -
Input: the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 72, then 1 / m + 1 / n is equal to
Output: 2

Now complete the following example -
Input: Problem: during a car trip , maria stopped to rest after she traveled 1 / 2 of the total distance to her destination . she stopped again after she traveled 1 / 4 of the distance remaining between her first stop and her destination , and then she drove the remaining 105 miles to her detination . what was the total distance , in miles from maria ' s starting point to her destination ?
Output: 


Output: 280
Definition: The task is to generate the correct answer for a given math problem.

Positive Example 1 -
Input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Output: 625

Positive Example 2 -
Input: a 3 - digit positive integer is chosen at random. what is the probability that the product of its digits is even ?
Output: 31 / 36

Negative Example 1 -
Input: if x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y ?
Output: 9

Negative Example 2 -
Input: the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 72, then 1 / m + 1 / n is equal to
Output: 2

Now complete the following example -
Input: Problem: the charge for a single room at hotel p is 20 percent less than the charge for a single room at hotel r and 10 percent less than the charge for a single room at hotel g . the charge for a single room at hotel r is what percent greater than the charge for a single room at hotel g ?
Output: 


Output: 12.5 %
Definition: The task is to generate the correct answer for a given math problem.

Positive Example 1 -
Input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Output: 625

Positive Example 2 -
Input: a 3 - digit positive integer is chosen at random. what is the probability that the product of its digits is even ?
Output: 31 / 36

Negative Example 1 -
Input: if x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y ?
Output: 9

Negative Example 2 -
Input: the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 72, then 1 / m + 1 / n is equal to
Output: 2

Now complete the following example -
Input: Problem: each of the products produced yesterday was checked by worker x or worker y . 0.5 % of the products checked by worker x are defective and 0.8 % of the products checked by worker y are defective . if the total defective rate of all the products checked by worker x and worker y is 0.65 % , what fraction of the products was checked by worker y ?
Output: 


Output: 1 / 2
Definition: The task is to generate the correct answer for a given math problem.

Positive Example 1 -
Input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Output: 625

Positive Example 2 -
Input: a 3 - digit positive integer is chosen at random. what is the probability that the product of its digits is even ?
Output: 31 / 36

Negative Example 1 -
Input: if x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y ?
Output: 9

Negative Example 2 -
Input: the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 72, then 1 / m + 1 / n is equal to
Output: 2

Now complete the following example -
Input: Problem: calculate the sum of first 60 natural numbers .
Output: 


Output: 1830
Definition: The task is to generate the correct answer for a given math problem.

Positive Example 1 -
Input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Output: 625

Positive Example 2 -
Input: a 3 - digit positive integer is chosen at random. what is the probability that the product of its digits is even ?
Output: 31 / 36

Negative Example 1 -
Input: if x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y ?
Output: 9

Negative Example 2 -
Input: the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 72, then 1 / m + 1 / n is equal to
Output: 2

Now complete the following example -
Input: Problem: how many positive integers less than 70 have a reminder 01 when divided by 3 ?
Output: 


Output: 24
Definition: The task is to generate the correct answer for a given math problem.

Positive Example 1 -
Input: a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many r ways can the test be completed if every question is unanswered ?
Output: 625

Positive Example 2 -
Input: a 3 - digit positive integer is chosen at random. what is the probability that the product of its digits is even ?
Output: 31 / 36

Negative Example 1 -
Input: if x and y are positive integers and 7 + x + y + xy = 21, what is the value of x + y ?
Output: 9

Negative Example 2 -
Input: the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 72, then 1 / m + 1 / n is equal to
Output: 2

Now complete the following example -
Input: Problem: what is the least common multiple of 12,27 and 40
Output: 


Output: 1080