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: the average salary of all the workers in a workshop is $ 8000 . the average salary of 7 technicians is $ 12000 and the average salary of the rest is $ 6000 . the total number of workers in the shop is ?
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: a car averages 65 mph for the first 5 hours of a trip and averages 75 mph for each additional hour . the average speed for the entire trip was 60 mph . how many hours long is the trip ?
Output: 


Output: 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 ratio of two numbers is 2 / 3 , and if a 1 is subtracted from the numerator and a 1 is added to the remainder the ratio becomes 1 / 2 , then the numbers are .
Output: 


Output: 6 and 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: a “ palindromic integer ” is an integer that remains the same when its digits are reversed . so , for example , 43334 and 516615 are both examples of palindromic integers . how many 6 - digit palindromic integers are both even and greater than 500000 ?
Output: 


Output: 200
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 number 35 is equal to the sum of the cubes of two integers . what is the product of those integers ?
Output: 


Output: 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: ravi and sunil are partners in a business . ravi invests rs . 12,000 for 4 months and sunil invested rs . 10000 for 5 months then after one year ratio of their profits will be
Output: 


Output: 24 : 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: the length of a rectangle is one fourth of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 784 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 5 units ?
Output: 


Output: 35 sq . units', 'b ) 45 sq . units', 'c ) 55 sq . units', 'd ) 50 sq . units', 'e ) 40 sq . units'
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: while working alone at their constant rates , computer x can process 240 files in 12 hours , and computer y can process 240 files in 6 hours . if all files processed by these computers are the same size , how many hours would it take the two computers , working at the same time at their respective constant rates , to process a total of 240 files ?
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: calculate the effect changes in dimension of a rectangle will have on its area , if length is increased by 40 % and its breadth is decreased by 25 % ?
Output: 


Output: 5 % increase
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 long will a boy take to run round a square field of side 35 meters , if he runs at the rate of 9 km / hr ?
Output: 


Output: 56
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: convert 2.3 hectares in ares
Output: 


Output: 230 ares .
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 40 % of a number is equal to two - third of another number , what is the ratio of first number to the second number .
Output: 


Output: 5 : 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: a man can row upstream at 25 kmph and downstream at 31 kmph , and then find the speed of the man in still water ?
Output: 


Output: 28
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: he ratio between the sale price and the cost price of an article is 5 : 6 . what is the ratio between the profit and the cost price of that article ?
Output: 


Output: 1 : 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: in the first 20 overs of a cricket game , the run rate was only 4.6 . what should be the run rate in the remaining 30 overs to reach the target of 396 runs ?
Output: 


Output: 10.13
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: company c sells a line of 20 products with an average retail price of $ 1,200 . if none of these products sells for less than $ 400 , and exactly 10 of the products sell for less than $ 1,000 , what is the greatest possible selling price of the most expensive product ?
Output: 


Output: 11000
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 collection of books went on sale , and 2 / 3 of them were sold for $ 2.25 each . if none of the 40 remaining books were sold , what was the total amount received for the books that were sold ?
Output: 


Output: $ 18
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: initially , the men and women in a room were in the ratio of 4 : 5 . then , 2 men entered the room and 3 women left the room . then , the number of women doubled . now there are 14 men in the room . how many w women are currently in the room ?
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: divide rs . 5500 among a , b and c so that a receives 1 / 3 as much as b and c together and b receives 1 / 5 as a and c together . a ' s share is ?
Output: 


Output: 1375
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 man whose speed is 8 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 3 kmph , find his average speed for the total journey ?
Output: 


Output: 6.8 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: working alone , printers x , y , and z can do a certain printing job , consisting of a large number of pages , in 12 , 25 , and 30 hours , respectively . what is the ratio of the time it takes printer x to do the job , working alone at its rate , to the time it takes printers y and z to do the job , working together at their individual rates ?
Output: 


Output: 150 / 11
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 room filled with 7 people , 2 people have exactly 1 sibling in the room and 5 people have exactly 2 siblings in the room . if two individuals are selected from the room at random , what is the probability that those two individuals are not siblings ?
Output: 


Output: 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: find the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 20 cm ?
Output: 


Output: 380 cm 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: a train 360 m long is running at a speed of 45 km / hr . in what time will be pass a bridge 140 m long ?
Output: 


Output: 40 sec