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: a can complete the job in 6 hours and b can complete the same job in 3 hours . a works for 1 hour and then b joins and both complete the job . what fraction of the job did b complete
Output: 


Output: 1 / 9
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 average age of applicants for a new job is 30 , with a standard deviation of 8 . the hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age . assuming that all applicants ' ages are integers and that the endpoints of the range are included , what is the maximum number of different ages of the applicants ?
Output: 


Output: 17
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 two dice are thrown together , the probability of getting an even number on both dice is
Output: 


Output: 1 / 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: a train covers a distance in 50 min , if it runs at a speed of 48 kmph on an average . the speed at which the train must run to reduce the time of journey to 40 min will be .
Output: 


Output: 60 kmph
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: in a university the average age in an arts class is 21 and average age in technical class is 18 . what is the age average of university if there are 8 arts classes and 5 technical classes ?
Output: 


Output: 19.85
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 box contains 7 pairs of shoes ( 14 shoes in total ) . if two shoes are selected at random , what it is the probability that they are matching shoes ?
Output: 


Output: 1 / 13
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 certain rectangular window is ( 1 / 3 ) times as long as it is wide . if its perimeter is 28 feet , what are its dimensions in terms of length by width ?
Output: 


Output: 10.5 by 3.5', 'd ) 10 by 4', 'e ) 9 by 3'
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 average of first 12 even numbers is ?
Output: 


Output: 13
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 p ( a ) = 1 / 5 and p ( b ) = 2 / 5 , find p ( a n b ) if a and b are independent events .
Output: 


Output: 2 / 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: a customer went to a shop and paid a total of $ 30 , out of which 90 cents was for sales tax on taxable purchases . if the tax rate was 6 % , then what was the cost of the tax free items ?
Output: 


Output: $ 14.10
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 number is doubled and 5 is added . if the resultant is trebled , it becomes 129 . what is that number ?
Output: 


Output: 19
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 700 m long is running at a speed of 78 km / hr . if it crosses a tunnel in 1 min , then the length of the tunnel is ?
Output: 


Output: 600 m
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: teas worth rs . 126 per kg and rs . 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2 . if the mixture is worth rs 153 per kg , the price of the third variety per kg will be ?
Output: 


Output: rs . 175.50
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: sum of 53 odd numbers is ?
Output: 


Output: 2809
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: find the smallest number that should be multiplied with 54000 to make it a perfect cube .
Output: 


Output: 4', 'b ) 5', 'c ) 6', 'd ) 3', 'e ) 7'
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 reduction of 15 % in the price of salt enables a lady to obtain 10 kgs more for rs . 100 , find the original price per kg ?
Output: 


Output: 1.8
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: in a certain school , 20 % of students are below 8 years of age . the number of students above 8 years of age is 2 / 3 of the number of students of 8 years of age which is 48 . what is the total number of students in the school ?
Output: 


Output: 100
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 a - b = 3 and a ^ 2 + b ^ 2 = 33 , find the value of ab .
Output: 


Output: 12
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 ratio of the present age of sandy to that of molly is 9 : 2 . eight years from now , the ratio of the ages of sandy to molly will be 5 : 2 . what was sandy ' s age 6 years ago ?
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: one night 17 percent of the female officers on a police force were on duty . if 204 police officers were on duty that night and half of these were female officers , how many female officers were on the police force ?
Output: 


Output: 600
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 product of the integers from 1 to n is divisible by 210 , what is the least possible value of n ?
Output: 


Output: 7
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 population of a city increases by 4 % per year but due to migration it decrease by 1 % per years . what will be the percentage increase in population in 3 years ?
Output: 


Output: 9.27 %
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: in 1982 and 1983 , company b ’ s operating expenses were $ 10.0 million and $ 12.0 million , respectively , and its revenues were $ 15.6 million and $ 18.8 million , respectively . what was the percent increase in company b ’ s profit ( revenues minus operating expenses ) from 1982 to 1983 ?
Output: 


Output: 21 3 / 7 %
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: fred and sam are standing 55 miles apart and they start walking in a straight line toward each other at the same time . if fred walks at a constant speed of 6 miles per hour and sam walks at a constant speed of 5 miles per hour , how many miles has sam walked when they meet ?
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: at jerri ’ s pet shop , 60 cups of bird seed are used every 5 days to feed 20 parakeets . how many cups of bird seed would be required to feed 10 parakeets for 5 days ?
Output: 


Output: 30