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: find the constant k so that : - x 2 - ( k + 10 ) x - 8 = - ( x - 2 ) ( x - 4 )
Output: 


Output: 16
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 is to be chosen at random from the set { 1 , 2 , 3 , 4 } and y is to be chosen at random from the set { 6 , 7 } , what is the probability that xy will be even ?
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: what is the value of n if the sum of the consecutive odd intergers y from 1 to n equals 169 ?
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: joan took out a mortgage from hel local bank . each monthly mortgage payment she makes must be triple the amount of the previous month ' s payment . if her first payment is $ 100 , and the total amount she must pay back is $ 914800 , how many months will it take joan to pay back her mortgage ?
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: 10 % people of a village in sri lanka died by bombardment , 20 % of the remainder left the village on account of fear . if now the population is reduced to 3312 , how much was it in the beginning ?
Output: 


Output: e ) 460
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 game , a large bag is filled with blue , green , purple and red chips worth 1 , 5 , x and 11 points each , respectively . the purple chips are worth more than the green chips , but less than the red chips . a certain number of chips are then selected from the bag . if the product of the point values of the selected chips is 88,000 , how many purple chips were selected ?
Output: 


Output: 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 string of 30 light bulbs is wired in such a way that if any individual light bulb fails , the entire string fails . if for each individual light bulb the probability of failing during time period t is 0.1 , what is the probability that the string of light bulbs will fail during the time period t ?
Output: 


Output: 1 - ( 0.90 ) ^ 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 sum of four consecutive even numbers is 84 . what would be the largest number ?
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: on a certain date , pat invested $ 10,000 at x percent annual interest , compounded annually . if the total value of the investment plus interest at the end of 12 years will be $ 40,000 , in how many years , the total value of the investment plus interest will increase to $ 160,000 ?
Output: 


Output: 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 garrison of 2000 men has provisions for 54 days . at the end of 18 days , a reinforcement arrives , and it is now found that the provisions will last only for 20 days more . what is the reinforcement ?
Output: 


Output: 1600
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 units digit of ( 147 ^ 17 ) ^ 47 ?
Output: 


Output: 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 certain bus driver is paid a regular rate of $ 16 per hour for any number of hours that does not exceed 40 hours per week . for any overtime hours worked in excess of 40 hours per week , the bus driver is paid a rate that is 75 % higher than his regular rate . if last week the bus driver earned $ 1032 in total compensation , how many total hours did he work that week ?
Output: 


Output: 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: two ships are sailing in the sea on the two sides of a lighthouse . the angle of elevation of the top of the lighthouse is observed from the ships are 30 º and 45 º respectively . if the lighthouse is 100 m high , the distance between the two ships is :
Output: 


Output: 273 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: mary ' s income is 60 percent more than tim ' s income , and tim ' s income is 60 percent less than juan ' s income . what percent of juan ' s income is mary ' s income ?
Output: 


Output: 64 %
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 country z , 12 % of the people do not have a university diploma but have the job of their choice , and 25 % of the people who do not have the job of their choice have a university diploma . if 40 % of the people have the job of their choice , what percent of the people have a university diploma ?
Output: 


Output: 43 %
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 running at the speed of 20 km / hr crosses a post in 10 seconds . what is the length of the train ?
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: together , 15 type a machines and 7 type b machines can complete a certain job in 4 hours . together 8 type b machines and 15 type c machines can complete the same job in 11 hours . how many w hours would it take one type a machine , one type b machine , and one type c machine working together to complete the job ( assuming constant rates for each machine ) ?
Output: 


Output: 44 hours
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 much more would rs . 10000 fetch , after two years , if it is put at 20 % p . a . compound interest payable half yearly than if is put at 20 % p . a . compound interest payable yearly ?
Output: 


Output: 241
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 digging a pond 20 m * 10 m * 5 m the volumes of the soil extracted will be ?
Output: 


Output: 1000
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: | x + 3 | – | 4 - x | = | 9 + x | how many solutions will this equation have ?
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: there is a square with sides of 12 . what is the circumference of the biggest circle that can be cut out of this square ?
Output: 


Output: 37.7'
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 car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 100 kilometers per hour . at what speed , in kilometers per hour , is the car traveling ?
Output: 


Output: 94.
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: some of 45 % - intensity red paint is replaced with 25 % solution of red paint such that the new paint intensity is 40 % . what fraction of the original paint was replaced ?
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: in what ratio must water be mixed with milk to gain 16 2 / 3 % on selling the mixture at cost price ?
Output: 


Output: 1 : 6