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MathQA/0 | python | def problem():
"""
what will be the difference between simple and compound interest at 14 % per annum on a sum of rs . 1000 after 4 years ? n0 = 14.0 n1 = 1000.0 n2 = 4.0
"""
| what will be the difference between simple and compound interest at 14 % per annum on a sum of rs . 1000 after 4 years ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 128.96016000000077)
def check(x): pass
| problem | n0 = 14.0
n1 = 1000.0
n2 = 4.0
t0 = n0 / 100.0
t1 = t0 + 1.0
t2 = n1 * t0
t3 = n2 * t2
t4 = t1**min(n2, 5)
t5 = n1 * t4
t6 = t5 - n1
answer = t6 - t3
return answer
|
MathQA/1 | python | def problem():
"""
there are 28 stations between hyderabad and bangalore . how many second class tickets have to be printed , so that a passenger can travel from any station to any other station ? n0 = 28.0
"""
| there are 28 stations between hyderabad and bangalore . how many second class tickets have to be printed , so that a passenger can travel from any station to any other station ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 870.0)
def check(x): pass
| problem | n0 = 28.0
t0 = n0 + 1.0
t1 = t0 + 1.0
answer = t0 * t1
return answer
|
MathQA/2 | python | def problem():
"""
a full stationary oil tank that is a right circular cylinder has a radius of 100 feet and a height of 25 feet . oil is pumped from the stationary tank to an oil truck that has a tank that is a right circular cylinder until the truck ' s tank is completely filled . if the truck ' s tank has a radius of 6 feet and a height of 10 feet , how far ( in feet ) did the oil level drop in the stationary tank ? n0 = 100.0 n1 = 25.0 n2 = 6.0 n3 = 10.0
"""
| a full stationary oil tank that is a right circular cylinder has a radius of 100 feet and a height of 25 feet . oil is pumped from the stationary tank to an oil truck that has a tank that is a right circular cylinder until the truck ' s tank is completely filled . if the truck ' s tank has a radius of 6 feet and a height of 10 feet , how far ( in feet ) did the oil level drop in the stationary tank ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 0.036)
def check(x): pass
| problem | import math
n0 = 100.0
n1 = 25.0
n2 = 6.0
n3 = 10.0
t0 = math.pi * n0**2
t1 = math.pi * n2**2 * n3
answer = t1 / t0
return answer
|
MathQA/3 | python | def problem():
"""
if n is an integer and 101 n ^ 2 is less than or equal to 10000 , what is the greatest possible value of n ? n0 = 101.0 n1 = 2.0 n2 = 10000.0
"""
| if n is an integer and 101 n ^ 2 is less than or equal to 10000 , what is the greatest possible value of n ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 9.0)
def check(x): pass
| problem | import math
n0 = 101.0
n1 = 2.0
n2 = 10000.0
t0 = n2 / n0
t1 = math.sqrt(max(0, t0))
answer = math.floor(t1)
return answer
|
MathQA/4 | python | def problem():
"""
a constructor estimates that 10 people can paint mr khans house in 4 days . if he uses 5 people instead of 10 , how long will they take to complete the job ? n0 = 10.0 n1 = 4.0 n2 = 5.0 n3 = 10.0
"""
| a constructor estimates that 10 people can paint mr khans house in 4 days . if he uses 5 people instead of 10 , how long will they take to complete the job ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 8.0)
def check(x): pass
| problem | n0 = 10.0
n1 = 4.0
n2 = 5.0
n3 = 10.0
t0 = n0 * n1
t1 = 1.0 / t0
t2 = n2 * t1
answer = 1.0 / t2
return answer
|
MathQA/5 | python | def problem():
"""
the percentage profit earned by selling an article for rs . 1920 is equal to the percentage loss incurred by selling the same article for rs . 1280 . at what price should the article be sold to make 40 % profit ? n0 = 1920.0 n1 = 1280.0 n2 = 40.0
"""
| the percentage profit earned by selling an article for rs . 1920 is equal to the percentage loss incurred by selling the same article for rs . 1280 . at what price should the article be sold to make 40 % profit ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 2240.0)
def check(x): pass
| problem | n0 = 1920.0
n1 = 1280.0
n2 = 40.0
t0 = n2 + 100.0
t1 = n0 + n1
t2 = t0 / 100.0
t3 = t1 / 2.0
answer = t2 * t3
return answer
|
MathQA/6 | python | def problem():
"""
running at the same constant rate , 6 identical machines can produce a total of 360 bottles per minute . at this rate , how many bottles could 10 such machines produce in 4 minutes ? n0 = 6.0 n1 = 360.0 n2 = 10.0 n3 = 4.0
"""
| running at the same constant rate , 6 identical machines can produce a total of 360 bottles per minute . at this rate , how many bottles could 10 such machines produce in 4 minutes ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 2400.0)
def check(x): pass
| problem | n0 = 6.0
n1 = 360.0
n2 = 10.0
n3 = 4.0
t0 = n1 / n0
t1 = n3 * t0
answer = n2 * t1
return answer
|
MathQA/7 | python | def problem():
"""
there are 1000 buildings in a street . a sign - maker is contracted to number the houses from 1 to 1000 . how many zeroes will he need ? n0 = 1000.0 n1 = 1.0 n2 = 1000.0
"""
| there are 1000 buildings in a street . a sign - maker is contracted to number the houses from 1 to 1000 . how many zeroes will he need ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 192.0)
def check(x): pass
| problem | n0 = 1000.0
n1 = 1.0
n2 = 1000.0
t0 = n0 / 10.0
t1 = 10.0 - n1
t2 = t1 * 10.0
t3 = t0 + t2
answer = t3 + 2.0
return answer
|
MathQA/8 | python | def problem():
"""
? % of 360 = 108 n0 = 360.0 n1 = 108.0
"""
| ? % of 360 = 108 | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 30.0)
def check(x): pass
| problem | n0 = 360.0
n1 = 108.0
t0 = n1 * 100.0
answer = t0 / n0
return answer
|
MathQA/9 | python | def problem():
"""
a train running at the speed of 120 km / hr crosses a pole in 18 seconds . what is the length of the train ? n0 = 120.0 n1 = 18.0
"""
| a train running at the speed of 120 km / hr crosses a pole in 18 seconds . what is the length of the train ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 600.0)
def check(x): pass
| problem | n0 = 120.0
n1 = 18.0
t0 = n0 * 1000.0
t1 = t0 / 3600.0
answer = n1 * t1
return answer
|
MathQA/10 | python | def problem():
"""
a train 100 meters long completely crosses a 300 meters long bridge in 45 seconds . what is the speed of the train is ? n0 = 100.0 n1 = 300.0 n2 = 45.0
"""
| a train 100 meters long completely crosses a 300 meters long bridge in 45 seconds . what is the speed of the train is ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 32.0)
def check(x): pass
| problem | n0 = 100.0
n1 = 300.0
n2 = 45.0
t0 = n0 + n1
t1 = n2 / 3600.0
t2 = t0 / 1000.0
answer = t2 / t1
return answer
|
MathQA/11 | python | def problem():
"""
each month a retailer sells 100 identical items . on each item he makes a profit of $ 40 that constitutes 10 % of the item ' s price to the retailer . if the retailer contemplates giving a 5 % discount on the items he sells , what is the least number of items he will have to sell each month to justify the policy of the discount ? n0 = 100.0 n1 = 40.0 n2 = 10.0 n3 = 5.0
"""
| each month a retailer sells 100 identical items . on each item he makes a profit of $ 40 that constitutes 10 % of the item ' s price to the retailer . if the retailer contemplates giving a 5 % discount on the items he sells , what is the least number of items he will have to sell each month to justify the policy of the discount ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 222.22222222222223)
def check(x): pass
| problem | n0 = 100.0
n1 = 40.0
n2 = 10.0
n3 = 5.0
t0 = n0 * n1
t1 = t0 / n2
t2 = n1 + t1
t3 = n3 * t2
t4 = t3 / n0
t5 = n1 - t4
answer = t0 / t5
return answer
|
MathQA/12 | python | def problem():
"""
bookman purchased 55 copies of a new book released recently , 10 of which are hardback and sold for $ 20 each , and rest are paperback and sold for $ 10 each . if 14 copies were sold and the total value of the remaining books was 460 , how many paperback copies were sold ? n0 = 55.0 n1 = 10.0 n2 = 20.0 n3 = 10.0 n4 = 14.0 n5 = 460.0
"""
| bookman purchased 55 copies of a new book released recently , 10 of which are hardback and sold for $ 20 each , and rest are paperback and sold for $ 10 each . if 14 copies were sold and the total value of the remaining books was 460 , how many paperback copies were sold ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 9.0)
def check(x): pass
| problem | import scipy
n0 = 55.0
n1 = 10.0
n2 = 20.0
n3 = 10.0
n4 = 14.0
n5 = 460.0
t0 = scipy.gcd(int(n0), int(n1))
t1 = n1 * n2
t2 = n0 - n1
t3 = n1 * t2
t4 = n2 * t0
t5 = t3 + t1
t6 = t5 - n5
t7 = t6 - t4
answer = t7 / n1
return answer
|
MathQA/13 | python | def problem():
"""
diana is painting statues . she has 1 / 2 of a gallon of paint remaining . each statue requires 1 / 16 gallon of paint . how many statues can she paint ? n0 = 1.0 n1 = 2.0 n2 = 1.0 n3 = 16.0
"""
| diana is painting statues . she has 1 / 2 of a gallon of paint remaining . each statue requires 1 / 16 gallon of paint . how many statues can she paint ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 8.0)
def check(x): pass
| problem | n0 = 1.0
n1 = 2.0
n2 = 1.0
n3 = 16.0
t0 = n0 / n1
t1 = n2 / n3
answer = t0 / t1
return answer
|
MathQA/14 | python | def problem():
"""
if the price of gasoline increases by 25 % and a driver intends to spend only 20 % more on gasoline , by how much percent should the driver reduce the quantity of gasoline that he buys ? n0 = 25.0 n1 = 20.0
"""
| if the price of gasoline increases by 25 % and a driver intends to spend only 20 % more on gasoline , by how much percent should the driver reduce the quantity of gasoline that he buys ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 4.0)
def check(x): pass
| problem | n0 = 25.0
n1 = 20.0
t0 = n0 + 100.0
t1 = n1 + 100.0
t2 = t0 - t1
t3 = t2 / t0
answer = t3 * 100.0
return answer
|
MathQA/15 | python | def problem():
"""
an art gallery has only paintings and sculptures . currently , 1 / 3 of the pieces of art are displayed , and 1 / 6 of the pieces on display are sculptures . if 1 / 3 of the pieces not on display are paintings , and 1000 sculptures are not on display , how many pieces of art does the gallery have ? n0 = 1.0 n1 = 3.0 n2 = 1.0 n3 = 6.0 n4 = 1.0 n5 = 3.0 n6 = 1000.0
"""
| an art gallery has only paintings and sculptures . currently , 1 / 3 of the pieces of art are displayed , and 1 / 6 of the pieces on display are sculptures . if 1 / 3 of the pieces not on display are paintings , and 1000 sculptures are not on display , how many pieces of art does the gallery have ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 2249.9999999999995)
def check(x): pass
| problem | n0 = 1.0
n1 = 3.0
n2 = 1.0
n3 = 6.0
n4 = 1.0
n5 = 3.0
n6 = 1000.0
t0 = n0 / n1
t1 = 1.0 - t0
t2 = n6 / t1
answer = t2 / t1
return answer
|
MathQA/16 | python | def problem():
"""
john and ingrid pay 30 % and 40 % tax annually , respectively . if john makes $ 60000 and ingrid makes $ 72000 , what is their combined tax rate ? n0 = 30.0 n1 = 40.0 n2 = 60000.0 n3 = 72000.0
"""
| john and ingrid pay 30 % and 40 % tax annually , respectively . if john makes $ 60000 and ingrid makes $ 72000 , what is their combined tax rate ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 35.45454545454545)
def check(x): pass
| problem | n0 = 30.0
n1 = 40.0
n2 = 60000.0
n3 = 72000.0
t0 = n2 + n3
t1 = n0 / 100.0
t2 = n1 / 100.0
t3 = n2 * t1
t4 = n3 * t2
t5 = t3 + t4
t6 = t5 / t0
answer = t6 * 100.0
return answer
|
MathQA/17 | python | def problem():
"""
the lenght of a room is 5.5 m and width is 4 m . find the cost of paving the floor by slabs at the rate of rs . 900 per sq . metre . n0 = 5.5 n1 = 4.0 n2 = 900.0
"""
| the lenght of a room is 5.5 m and width is 4 m . find the cost of paving the floor by slabs at the rate of rs . 900 per sq . metre . | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 19800.0)
def check(x): pass
| problem | n0 = 5.5
n1 = 4.0
n2 = 900.0
t0 = n0 * n1
answer = n2 * t0
return answer
|
MathQA/18 | python | def problem():
"""
a corporation double its annual bonus to 100 of its employees . what percent of the employees ’ new bonus is the increase ? n0 = 100.0
"""
| a corporation double its annual bonus to 100 of its employees . what percent of the employees ’ new bonus is the increase ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 50.0)
def check(x): pass
| problem | n0 = 100.0
t0 = 2.0 - 1.0
t1 = t0 / 2.0
answer = n0 * t1
return answer
|
MathQA/19 | python | def problem():
"""
three walls have wallpaper covering a combined area of 300 square meters . by overlapping the wallpaper to cover a wall with an area of 180 square meters , the area that is covered by exactly two layers of wallpaper is 34 square meters . what is the area that is covered with three layers of wallpaper ? n0 = 300.0 n1 = 180.0 n2 = 34.0
"""
| three walls have wallpaper covering a combined area of 300 square meters . by overlapping the wallpaper to cover a wall with an area of 180 square meters , the area that is covered by exactly two layers of wallpaper is 34 square meters . what is the area that is covered with three layers of wallpaper ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 43.0)
def check(x): pass
| problem | n0 = 300.0
n1 = 180.0
n2 = 34.0
t0 = n0 - n1
t1 = t0 - n2
answer = t1 / 2.0
return answer
|
MathQA/20 | python | def problem():
"""
a trader bought a car at 20 % discount on its original price . he sold it at a 40 % increase on the price he bought it . what percent of profit did he make on the original price ? n0 = 20.0 n1 = 40.0
"""
| a trader bought a car at 20 % discount on its original price . he sold it at a 40 % increase on the price he bought it . what percent of profit did he make on the original price ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 12.00000000000001)
def check(x): pass
| problem | n0 = 20.0
n1 = 40.0
t0 = n1 + 100.0
t1 = 100.0 - n0
t2 = t0 * t1
t3 = t2 / 100.0
t4 = t3 / 100.0
t5 = t4 - 1.0
answer = t5 * 100.0
return answer
|
MathQA/21 | python | def problem():
"""
what is the unit digit in the product ( 3 ^ 65 x 6 ^ 59 x 7 ^ 71 ) ? n0 = 3.0 n1 = 65.0 n2 = 6.0 n3 = 59.0 n4 = 7.0 n5 = 71.0
"""
| what is the unit digit in the product ( 3 ^ 65 x 6 ^ 59 x 7 ^ 71 ) ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 4.0)
def check(x): pass
| problem | n0 = 3.0
n1 = 65.0
n2 = 6.0
n3 = 59.0
n4 = 7.0
n5 = 71.0
t0 = n0 * n2
t1 = n0 * t0
t2 = t1 - 4.0
answer = t1 - t2
return answer
|
MathQA/22 | python | def problem():
"""
a start walking from a place at a uniform speed of 6 kmph in a particular direction . after half an hour , b starts from the same place and walks in the same direction as a at a uniform speed and overtakes a after 1 hour 48 minutes . find the speed of b . n0 = 6.0 n1 = 1.0 n2 = 48.0
"""
| a start walking from a place at a uniform speed of 6 kmph in a particular direction . after half an hour , b starts from the same place and walks in the same direction as a at a uniform speed and overtakes a after 1 hour 48 minutes . find the speed of b . | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 6.555555555555555)
def check(x): pass
| problem | n0 = 6.0
n1 = 1.0
n2 = 48.0
t0 = n2 + 60.0
t1 = t0 / 60.0
t2 = n1 / t1
answer = n0 + t2
return answer
|
MathQA/23 | python | def problem():
"""
oak street begins at pine street and runs directly east for 2 kilometers until it ends when it meets maple street . oak street is intersected every 400 meters by a perpendicular street , and each of those streets other than pine street and maple street is given a number beginning at 1 st street ( one block east of pine street ) and continuing consecutively ( 2 nd street , 3 rd street , etc . . . ) until the highest - numbered street one block west of maple street . what is the highest - numbered street that intersects oak street ? n0 = 2.0 n1 = 400.0 n2 = 1.0 n3 = 2.0 n4 = 3.0
"""
| oak street begins at pine street and runs directly east for 2 kilometers until it ends when it meets maple street . oak street is intersected every 400 meters by a perpendicular street , and each of those streets other than pine street and maple street is given a number beginning at 1 st street ( one block east of pine street ) and continuing consecutively ( 2 nd street , 3 rd street , etc . . . ) until the highest - numbered street one block west of maple street . what is the highest - numbered street that intersects oak street ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 4.0)
def check(x): pass
| problem | n0 = 2.0
n1 = 400.0
n2 = 1.0
n3 = 2.0
n4 = 3.0
t0 = n0 * 1000.0
t1 = t0 / n1
answer = t1 - 1.0
return answer
|
MathQA/24 | python | def problem():
"""
50 percent of the members of a study group are women , and 30 percent of those women are lawyers . if one member of the study group is to be selected at random , what is the probability that the member selected is a woman lawyer ? n0 = 50.0 n1 = 30.0
"""
| 50 percent of the members of a study group are women , and 30 percent of those women are lawyers . if one member of the study group is to be selected at random , what is the probability that the member selected is a woman lawyer ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 0.15)
def check(x): pass
| problem | n0 = 50.0
n1 = 30.0
t0 = 5.0 * 5.0
t1 = t0 * 4.0
t2 = n0 / t1
t3 = n1 / t1
answer = t2 * t3
return answer
|
MathQA/25 | python | def problem():
"""
the cost of one photocopy is $ 0.02 . however , a 25 % discount is offered on orders of more than 100 photocopies . if arthur and david have to make 80 copies each , how much will each of them save if they submit a single order of 160 copies ? n0 = 0.02 n1 = 25.0 n2 = 100.0 n3 = 80.0 n4 = 160.0
"""
| the cost of one photocopy is $ 0.02 . however , a 25 % discount is offered on orders of more than 100 photocopies . if arthur and david have to make 80 copies each , how much will each of them save if they submit a single order of 160 copies ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 0.40000000000000013)
def check(x): pass
| problem | n0 = 0.02
n1 = 25.0
n2 = 100.0
n3 = 80.0
n4 = 160.0
t0 = n0 * n3
t1 = n2 - n1
t2 = t1 / n2
t3 = t0 * 2.0
t4 = n4 * t2
t5 = n0 * t4
t6 = t3 - t5
answer = t6 / 2.0
return answer
|
MathQA/26 | python | def problem():
"""
if 6 men and 8 women can do a piece of work in 10 days while 26 men and 48 women can do the same in 2 days , the time taken by 15 men and 20 women in doing the same type of work will be ? n0 = 6.0 n1 = 8.0 n2 = 10.0 n3 = 26.0 n4 = 48.0 n5 = 2.0 n6 = 15.0 n7 = 20.0
"""
| if 6 men and 8 women can do a piece of work in 10 days while 26 men and 48 women can do the same in 2 days , the time taken by 15 men and 20 women in doing the same type of work will be ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 4.0)
def check(x): pass
| problem | n0 = 6.0
n1 = 8.0
n2 = 10.0
n3 = 26.0
n4 = 48.0
n5 = 2.0
n6 = 15.0
n7 = 20.0
t0 = n4 * n5
t1 = n1 * n2
t2 = n0 * n2
t3 = n3 * n5
t4 = t0 - t1
t5 = t2 - t3
t6 = t4 / t5
t7 = n1 / t6
t8 = n7 / t6
t9 = n0 + t7
t10 = n6 + t8
t11 = n2 * t9
answer = t11 / t10
return answer
|
MathQA/27 | python | def problem():
"""
the maximum number of students among them 1345 pens and 775 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is : n0 = 1345.0 n1 = 775.0
"""
| the maximum number of students among them 1345 pens and 775 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is : | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 5.0)
def check(x): pass
| problem | import scipy
n0 = 1345.0
n1 = 775.0
answer = scipy.gcd(int(n0), int(n1))
return answer
|
MathQA/28 | python | def problem():
"""
two - third of a positive number and 16 / 216 of its reciprocal are equal . find the positive number . n0 = 16.0 n1 = 216.0
"""
| two - third of a positive number and 16 / 216 of its reciprocal are equal . find the positive number . | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 0.3333333333333333)
def check(x): pass
| problem | import math
n0 = 16.0
n1 = 216.0
t0 = n0 * 3.0
t1 = n1 * 2.0
t2 = t0 / t1
answer = math.sqrt(max(0, t2))
return answer
|
MathQA/29 | python | def problem():
"""
find large number from below question the difference of two numbers is 1365 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder n0 = 1365.0 n1 = 6.0 n2 = 15.0
"""
| find large number from below question the difference of two numbers is 1365 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 1620.0)
def check(x): pass
| problem | n0 = 1365.0
n1 = 6.0
n2 = 15.0
t0 = n0 - n2
t1 = n1 - 1.0
t2 = t0 / t1
answer = n1 * t2
return answer
|
MathQA/30 | python | def problem():
"""
in a recent election , james received 0.5 percent of the 2,000 votes cast . to win the election , a candidate needed to receive more than 50 percent of the vote . how many additional votes would james have needed to win the election ? n0 = 0.5 n1 = 2000.0 n2 = 50.0
"""
| in a recent election , james received 0.5 percent of the 2,000 votes cast . to win the election , a candidate needed to receive more than 50 percent of the vote . how many additional votes would james have needed to win the election ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 1000.0)
def check(x): pass
| problem | n0 = 0.5
n1 = 2000.0
n2 = 50.0
t0 = 1000.0 + 1000.0
t1 = n0 * t0
answer = t0 - t1
return answer
|
MathQA/31 | python | def problem():
"""
what least number must be subtracted from 3832 so that the remaining number is divisible by 5 ? n0 = 3832.0 n1 = 5.0
"""
| what least number must be subtracted from 3832 so that the remaining number is divisible by 5 ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 2.0)
def check(x): pass
| problem | import math
n0 = 3832.0
n1 = 5.0
t0 = n0 / n1
t1 = math.floor(t0)
t2 = n1 * t1
answer = n0 - t2
return answer
|
MathQA/32 | python | def problem():
"""
find the length of the wire required to go 14 times round a square field containing 5625 m 2 . n0 = 14.0 n1 = 5625.0 n2 = 2.0
"""
| find the length of the wire required to go 14 times round a square field containing 5625 m 2 . | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 4200.0)
def check(x): pass
| problem | import math
n0 = 14.0
n1 = 5625.0
n2 = 2.0
t0 = math.sqrt(n1) # square edge given area
t1 = 4 * t0
answer = n0 * t1
return answer
|
MathQA/33 | python | def problem():
"""
how many bricks , each measuring 25 cm x 11.25 cm x 6 cm , will be needed to build a wall of 1 m x 2 m x 20 cm ? n0 = 25.0 n1 = 11.25 n2 = 6.0 n3 = 1.0 n4 = 2.0 n5 = 20.0
"""
| how many bricks , each measuring 25 cm x 11.25 cm x 6 cm , will be needed to build a wall of 1 m x 2 m x 20 cm ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 237.03703703703704)
def check(x): pass
| problem | n0 = 25.0
n1 = 11.25
n2 = 6.0
n3 = 1.0
n4 = 2.0
n5 = 20.0
t0 = n3 * 100.0
t1 = n4 * 100.0
t2 = n0 * n1
t3 = t0 * t1
t4 = n2 * t2
t5 = n5 * t3
answer = t5 / t4
return answer
|
MathQA/34 | python | def problem():
"""
spanish language broadcast records last 90 min on each of two sides . if it takes 3 hours to translate one hour of broadcast , how long will it take to translate 16 full records ? n0 = 90.0 n1 = 3.0 n2 = 16.0
"""
| spanish language broadcast records last 90 min on each of two sides . if it takes 3 hours to translate one hour of broadcast , how long will it take to translate 16 full records ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 144.0)
def check(x): pass
| problem | n0 = 90.0
n1 = 3.0
n2 = 16.0
t0 = n0 * 2.0
t1 = t0 / 60.0
t2 = n2 * t1
answer = n1 * t2
return answer
|
MathQA/35 | python | def problem():
"""
a can do a piece of work in 4 hours ; b and c together can do it in 3 hours , which a and c together can do it in 2 hours . how long will b alone take to do it ? n0 = 4.0 n1 = 3.0 n2 = 2.0
"""
| a can do a piece of work in 4 hours ; b and c together can do it in 3 hours , which a and c together can do it in 2 hours . how long will b alone take to do it ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 12.000000000000004)
def check(x): pass
| problem | n0 = 4.0
n1 = 3.0
n2 = 2.0
t0 = 1.0 / n1
t1 = 1.0 / n2
t2 = 1.0 / n0
t3 = t1 - t2
t4 = t0 - t3
answer = 1.0 / t4
return answer
|
MathQA/36 | python | def problem():
"""
how many seconds will a 650 meter long train moving with a speed of 63 km / hr take to cross a man walking with a speed of 3 km / hr in the direction of the train ? n0 = 650.0 n1 = 63.0 n2 = 3.0
"""
| how many seconds will a 650 meter long train moving with a speed of 63 km / hr take to cross a man walking with a speed of 3 km / hr in the direction of the train ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 38.99688024958004)
def check(x): pass
| problem | n0 = 650.0
n1 = 63.0
n2 = 3.0
t0 = n1 - n2
t1 = t0 * 0.2778
answer = n0 / t1
return answer
|
MathQA/37 | python | def problem():
"""
today is thursday . i came home from a trip 3 days before the day after last monday . how many days have i been home ? n0 = 3.0
"""
| today is thursday . i came home from a trip 3 days before the day after last monday . how many days have i been home ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 6.0)
def check(x): pass
| problem | n0 = 3.0
t0 = n0 + 1.0
answer = t0 + 2.0
return answer
|
MathQA/38 | python | def problem():
"""
in one hour , a boat goes 19 km along the stream and 5 km against the stream . the speed of the boat in still water ( in km / hr ) is : n0 = 19.0 n1 = 5.0
"""
| in one hour , a boat goes 19 km along the stream and 5 km against the stream . the speed of the boat in still water ( in km / hr ) is : | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 12.0)
def check(x): pass
| problem | n0 = 19.0
n1 = 5.0
t0 = n0 + n1
answer = t0 / 2.0
return answer
|
MathQA/39 | python | def problem():
"""
a profit of rs . 900 is divided between x and y in the ratio of 1 / 2 : 1 / 3 . what is the difference between their profit shares ? n0 = 900.0 n1 = 1.0 n2 = 2.0 n3 = 1.0 n4 = 3.0
"""
| a profit of rs . 900 is divided between x and y in the ratio of 1 / 2 : 1 / 3 . what is the difference between their profit shares ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 180.0)
def check(x): pass
| problem | n0 = 900.0
n1 = 1.0
n2 = 2.0
n3 = 1.0
n4 = 3.0
t0 = n1 / n2
t1 = n1 / n4
t2 = t0 + t1
t3 = n0 / t2
t4 = t3 / n2
t5 = t3 / n4
answer = t4 - t5
return answer
|
MathQA/40 | python | def problem():
"""
a is two years older than b who is twice as old as c . if the total of the ages of a , b and c be 27 , the how old is b ? n0 = 27.0
"""
| a is two years older than b who is twice as old as c . if the total of the ages of a , b and c be 27 , the how old is b ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 10.0)
def check(x): pass
| problem | n0 = 27.0
t0 = 1.0 + 4.0
t1 = n0 - 2.0
t2 = t1 * 2.0
answer = t2 / t0
return answer
|
MathQA/41 | python | def problem():
"""
calculate the share of y , if rs . 2880 is divided among x , y and z in the ratio 3 : 5 : 8 ? n0 = 2880.0 n1 = 3.0 n2 = 5.0 n3 = 8.0
"""
| calculate the share of y , if rs . 2880 is divided among x , y and z in the ratio 3 : 5 : 8 ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 540.0)
def check(x): pass
| problem | n0 = 2880.0
n1 = 3.0
n2 = 5.0
n3 = 8.0
t0 = n1 + n2
t1 = n3 + t0
t2 = n0 / t1
answer = n1 * t2
return answer
|
MathQA/42 | python | def problem():
"""
3 years ago , paula was 3 times as old as karl . in 9 years , paula will be twice as old as karl . what is the sum of their ages now ? n0 = 3.0 n1 = 3.0 n2 = 9.0
"""
| 3 years ago , paula was 3 times as old as karl . in 9 years , paula will be twice as old as karl . what is the sum of their ages now ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 54.0)
def check(x): pass
| problem | n0 = 3.0
n1 = 3.0
n2 = 9.0
t0 = n2 * 2.0
t1 = n0 * n1
t2 = n2 - t0
t3 = t1 - n0
t4 = -t2
t5 = t4 + t3
t6 = t5 * n1
t7 = t6 - t3
answer = t5 + t7
return answer
|
MathQA/43 | python | def problem():
"""
if soundharya rows 49 km upstream and 77 km down steam taking 7 hours each , then the speed of the stream n0 = 49.0 n1 = 77.0 n2 = 7.0
"""
| if soundharya rows 49 km upstream and 77 km down steam taking 7 hours each , then the speed of the stream | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 2.0)
def check(x): pass
| problem | n0 = 49.0
n1 = 77.0
n2 = 7.0
t0 = n2 * 2.0
t1 = n1 - n0
answer = t1 / t0
return answer
|
MathQA/44 | python | def problem():
"""
the digital sum of a number is the sum of its digits . for how many of the positive integers 24 - 140 inclusive is the digital sum a multiple of 7 ? n0 = 24.0 n1 = 140.0 n2 = 7.0
"""
| the digital sum of a number is the sum of its digits . for how many of the positive integers 24 - 140 inclusive is the digital sum a multiple of 7 ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 15.0)
def check(x): pass
| problem | n0 = 24.0
n1 = 140.0
n2 = 7.0
t0 = n0 - n2
answer = t0 - 2.0
return answer
|
MathQA/45 | python | def problem():
"""
20 beavers , working together in a constant pace , can build a dam in 6 hours . how many hours will it take 12 beavers that work at the same pace , to build the same dam ? n0 = 20.0 n1 = 6.0 n2 = 12.0
"""
| 20 beavers , working together in a constant pace , can build a dam in 6 hours . how many hours will it take 12 beavers that work at the same pace , to build the same dam ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 10.0)
def check(x): pass
| problem | n0 = 20.0
n1 = 6.0
n2 = 12.0
t0 = n0 * n1
answer = t0 / n2
return answer
|
MathQA/46 | python | def problem():
"""
if a student loses 6 kilograms , he will weigh twice as much as his sister . together they now weigh 126 kilograms . what is the student ' s present weight in kilograms ? n0 = 6.0 n1 = 126.0
"""
| if a student loses 6 kilograms , he will weigh twice as much as his sister . together they now weigh 126 kilograms . what is the student ' s present weight in kilograms ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 86.0)
def check(x): pass
| problem | n0 = 6.0
n1 = 126.0
t0 = n1 - n0
t1 = t0 / 3.0
answer = n1 - t1
return answer
|
MathQA/47 | python | def problem():
"""
a person buys an article at rs . 575 . at what price should he sell the article so as to make a profit of 15 % ? n0 = 575.0 n1 = 15.0
"""
| a person buys an article at rs . 575 . at what price should he sell the article so as to make a profit of 15 % ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 661.25)
def check(x): pass
| problem | n0 = 575.0
n1 = 15.0
t0 = n1 / 100.0
t1 = n0 * t0
answer = n0 + t1
return answer
|
MathQA/48 | python | def problem():
"""
two consultants can type up a report in 12.5 hours and edit it in 7.5 hours . if mary needs 30 hours to type the report and jim needs 12 hours to edit it alone , how many t hours will it take if jim types the report and mary edits it immediately after he is done ? n0 = 12.5 n1 = 7.5 n2 = 30.0 n3 = 12.0
"""
| two consultants can type up a report in 12.5 hours and edit it in 7.5 hours . if mary needs 30 hours to type the report and jim needs 12 hours to edit it alone , how many t hours will it take if jim types the report and mary edits it immediately after he is done ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 41.42857142857143)
def check(x): pass
| problem | n0 = 12.5
n1 = 7.5
n2 = 30.0
n3 = 12.0
t0 = 1.0 / n0
t1 = 1.0 / n2
t2 = 1.0 / n1
t3 = 1.0 / n3
t4 = t0 - t1
t5 = t2 - t3
t6 = 1 / t4
t7 = 1 / t5
answer = t6 + t7
return answer
|
MathQA/49 | python | def problem():
"""
a trader sells 40 metres of cloth for rs . 8200 at a profit of rs . 15 per metre of cloth . how much profit will the trder earn on 40 metres of cloth ? n0 = 40.0 n1 = 8200.0 n2 = 15.0 n3 = 40.0
"""
| a trader sells 40 metres of cloth for rs . 8200 at a profit of rs . 15 per metre of cloth . how much profit will the trder earn on 40 metres of cloth ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 600.0)
def check(x): pass
| problem | n0 = 40.0
n1 = 8200.0
n2 = 15.0
n3 = 40.0
answer = n0 * n2
return answer
|
MathQA/50 | python | def problem():
"""
a thief goes away with a santro car at a speed of 50 kmph . the theft has been discovered after half an hour and the owner sets off in a bike at 60 kmph when will the owner over take the thief from the start ? n0 = 50.0 n1 = 60.0
"""
| a thief goes away with a santro car at a speed of 50 kmph . the theft has been discovered after half an hour and the owner sets off in a bike at 60 kmph when will the owner over take the thief from the start ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 2.0)
def check(x): pass
| problem | n0 = 50.0
n1 = 60.0
t0 = 1.0 / 2.0
t1 = n1 - n0
t2 = n0 * t0
t3 = t2 / t1
answer = t3 - t0
return answer
|
MathQA/51 | python | def problem():
"""
the average weight of 18 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg . find the average weights of all the boys in the class . n0 = 18.0 n1 = 50.25 n2 = 8.0 n3 = 45.15
"""
| the average weight of 18 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg . find the average weights of all the boys in the class . | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 48.68076923076923)
def check(x): pass
| problem | n0 = 18.0
n1 = 50.25
n2 = 8.0
n3 = 45.15
t0 = n0 + n2
t1 = n0 * n1
t2 = n2 * n3
t3 = t1 + t2
answer = t3 / t0
return answer
|
MathQA/52 | python | def problem():
"""
what is the probability for a family with 3 children to have a girl and two boys ( assuming the probability of having a boy or a girl is equal ) ? n0 = 3.0
"""
| what is the probability for a family with 3 children to have a girl and two boys ( assuming the probability of having a boy or a girl is equal ) ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 0.375)
def check(x): pass
| problem | n0 = 3.0
t0 = 1.0 / 2.0
t1 = t0**min(n0, 5)
t2 = t1 * 2.0
t3 = 1.0 - t2
answer = t3 / 2.0
return answer
|
MathQA/53 | python | def problem():
"""
a manufacturer produces a certain men ' s athletic shoe in integer sizes from 8 to 17 . for this particular shoe , each unit increase in size corresponds to a 1 / 5 - inch increase in the length of the shoe . if the largest size of this shoe is 30 % longer than the smallest size , how long , in inches , is the shoe in size 15 ? n0 = 8.0 n1 = 17.0 n2 = 1.0 n3 = 5.0 n4 = 30.0 n5 = 15.0
"""
| a manufacturer produces a certain men ' s athletic shoe in integer sizes from 8 to 17 . for this particular shoe , each unit increase in size corresponds to a 1 / 5 - inch increase in the length of the shoe . if the largest size of this shoe is 30 % longer than the smallest size , how long , in inches , is the shoe in size 15 ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 7.4)
def check(x): pass
| problem | n0 = 8.0
n1 = 17.0
n2 = 1.0
n3 = 5.0
n4 = 30.0
n5 = 15.0
t0 = n2 / n3
t1 = n4 / 100.0
t2 = n1 - n0
t3 = n5 - n0
t4 = t0 * t2
t5 = t0 * t3
t6 = t4 / t1
answer = t6 + t5
return answer
|
MathQA/54 | python | def problem():
"""
a 240 m long train running at the speed of 120 km / hr crosses another train running in opposite direction at the speed of 80 km / hr in 9 sec . what is the length of the other train ? n0 = 240.0 n1 = 120.0 n2 = 80.0 n3 = 9.0
"""
| a 240 m long train running at the speed of 120 km / hr crosses another train running in opposite direction at the speed of 80 km / hr in 9 sec . what is the length of the other train ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 260.03999999999996)
def check(x): pass
| problem | n0 = 240.0
n1 = 120.0
n2 = 80.0
n3 = 9.0
t0 = n1 + n2
t1 = t0 * 0.2778
t2 = n3 * t1
answer = t2 - n0
return answer
|
MathQA/55 | python | def problem():
"""
34 . the side surface of a cylinder is rolled with a rectangular plate . if the perimeter of the circular base is 9 feet , and the diagonal of the rectangular plate was 15 ft . what is height of the of the cylinder ? n0 = 34.0 n1 = 9.0 n2 = 15.0
"""
| 34 . the side surface of a cylinder is rolled with a rectangular plate . if the perimeter of the circular base is 9 feet , and the diagonal of the rectangular plate was 15 ft . what is height of the of the cylinder ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 12.0)
def check(x): pass
| problem | import math
n0 = 34.0
n1 = 9.0
n2 = 15.0
t0 = n2**min(2.0, 5)
t1 = n1**min(2.0, 5)
t2 = t0 - t1
answer = math.sqrt(max(0, t2))
return answer
|
MathQA/56 | python | def problem():
"""
what quantity of water should be added to reduce 9 liters of 50 % acidic liquid to 30 % acidic liquid ? n0 = 9.0 n1 = 50.0 n2 = 30.0
"""
| what quantity of water should be added to reduce 9 liters of 50 % acidic liquid to 30 % acidic liquid ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 6.0)
def check(x): pass
| problem | n0 = 9.0
n1 = 50.0
n2 = 30.0
t0 = n1 / 100.0
t1 = n0 * t0
t2 = t1 * 100.0
t3 = t2 / n2
answer = t3 - n0
return answer
|
MathQA/57 | python | def problem():
"""
the average weight of 20 persons sitting in a boat had some value . a new person added to them whose weight was 46 kg only . due to his arrival , the average weight of all the persons decreased by 5 kg . find the average weight of first 20 persons ? n0 = 20.0 n1 = 46.0 n2 = 5.0 n3 = 20.0
"""
| the average weight of 20 persons sitting in a boat had some value . a new person added to them whose weight was 46 kg only . due to his arrival , the average weight of all the persons decreased by 5 kg . find the average weight of first 20 persons ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 59.0)
def check(x): pass
| problem | n0 = 20.0
n1 = 46.0
n2 = 5.0
n3 = 20.0
t0 = n0 + 1.0
t1 = n2 * t0
answer = t1 - n1
return answer
|
MathQA/58 | python | def problem():
"""
a and b can together finish a work in 40 days . they worked together for 10 days and then b left . after another 18 days , a finished the remaining work . in how many days a alone can finish the job ? n0 = 40.0 n1 = 10.0 n2 = 18.0
"""
| a and b can together finish a work in 40 days . they worked together for 10 days and then b left . after another 18 days , a finished the remaining work . in how many days a alone can finish the job ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 24.0)
def check(x): pass
| problem | n0 = 40.0
n1 = 10.0
n2 = 18.0
t0 = n0 * n2
t1 = n0 - n1
answer = t0 / t1
return answer
|
MathQA/59 | python | def problem():
"""
a student gets 55 % in one subject , 65 % in the other . to get an overall of 55 % how much should get in third subject . n0 = 55.0 n1 = 65.0 n2 = 55.0
"""
| a student gets 55 % in one subject , 65 % in the other . to get an overall of 55 % how much should get in third subject . | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 45.0)
def check(x): pass
| problem | n0 = 55.0
n1 = 65.0
n2 = 55.0
t0 = n0 + n1
t1 = n2 * 3.0
answer = t1 - t0
return answer
|
MathQA/60 | python | def problem():
"""
in an election between two candidates , the winner has a margin of 10 % of the votes polled . if 4000 people change their mind and vote for the loser , the loser would have won by a margin of 10 % of the votes polled . find the total number of votes polled in the election ? n0 = 10.0 n1 = 4000.0 n2 = 10.0
"""
| in an election between two candidates , the winner has a margin of 10 % of the votes polled . if 4000 people change their mind and vote for the loser , the loser would have won by a margin of 10 % of the votes polled . find the total number of votes polled in the election ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 40000.0)
def check(x): pass
| problem | n0 = 10.0
n1 = 4000.0
n2 = 10.0
t0 = n0 / 100.0
answer = n1 / t0
return answer
|
MathQA/61 | python | def problem():
"""
there are 28 stations between ernakulam and chennai . how many second class tickets have to be printed , so that a passenger can travel from one station to any other station ? n0 = 28.0
"""
| there are 28 stations between ernakulam and chennai . how many second class tickets have to be printed , so that a passenger can travel from one station to any other station ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 870.0)
def check(x): pass
| problem | n0 = 28.0
t0 = n0 + 2.0
t1 = t0 - 1.0
answer = t0 * t1
return answer
|
MathQA/62 | python | def problem():
"""
25 is subtracted from 75.00001 % of a number , the result is 50 . find the number ? n0 = 25.0 n1 = 75.00001 n2 = 50.0
"""
| 25 is subtracted from 75.00001 % of a number , the result is 50 . find the number ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 99.99998666666843)
def check(x): pass
| problem | n0 = 25.0
n1 = 75.00001
n2 = 50.0
t0 = n0 + n2
t1 = n1 / 100.0
answer = t0 / t1
return answer
|
MathQA/63 | python | def problem():
"""
half a number plus 7 is 11 . what is the number ? n0 = 7.0 n1 = 11.0
"""
| half a number plus 7 is 11 . what is the number ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 8.0)
def check(x): pass
| problem | n0 = 7.0
n1 = 11.0
t0 = n1 - n0
answer = t0 * 2.0
return answer
|
MathQA/64 | python | def problem():
"""
of the total amount that jill spent on a shopping trip , excluding taxes , she spent 25 percent on clothing , 25 percent on food , and 50 percent on other items . if jill paid a 10 percent tax on the clothing , no tax on the food , and an 2 percent tax on all other items , then the total tax that she paid was what percent of the total amount that she spent , excluding taxes ? n0 = 25.0 n1 = 25.0 n2 = 50.0 n3 = 10.0 n4 = 2.0
"""
| of the total amount that jill spent on a shopping trip , excluding taxes , she spent 25 percent on clothing , 25 percent on food , and 50 percent on other items . if jill paid a 10 percent tax on the clothing , no tax on the food , and an 2 percent tax on all other items , then the total tax that she paid was what percent of the total amount that she spent , excluding taxes ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 3.5000000000000004)
def check(x): pass
| problem | n0 = 25.0
n1 = 25.0
n2 = 50.0
n3 = 10.0
n4 = 2.0
t0 = n3 / 100.0
t1 = n4 / 100.0
t2 = n0 * t0
t3 = n2 * t1
t4 = t2 + t3
t5 = t4 / 100.0
answer = t5 * 100.0
return answer
|
MathQA/65 | python | def problem():
"""
how many 1 / 6 s are there in 37 1 / 2 ? n0 = 1.0 n1 = 6.0 n2 = 37.0 n3 = 1.0 n4 = 2.0
"""
| how many 1 / 6 s are there in 37 1 / 2 ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 225.0)
def check(x): pass
| problem | n0 = 1.0
n1 = 6.0
n2 = 37.0
n3 = 1.0
n4 = 2.0
t0 = n0 / n4
t1 = n0 / n1
t2 = n2 + t0
answer = t2 / t1
return answer
|
MathQA/66 | python | def problem():
"""
the ratio between the present ages of a and b is 7 : 3 respectively . the ratio between a ' s age 4 years ago and b ' s age 4 years hence is 1 : 1 . what is the ratio between a ' s age 4 years hence and b ' s age 4 years ago ? n0 = 7.0 n1 = 3.0 n2 = 4.0 n3 = 4.0 n4 = 1.0 n5 = 1.0 n6 = 4.0 n7 = 4.0
"""
| the ratio between the present ages of a and b is 7 : 3 respectively . the ratio between a ' s age 4 years ago and b ' s age 4 years hence is 1 : 1 . what is the ratio between a ' s age 4 years hence and b ' s age 4 years ago ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 9.0)
def check(x): pass
| problem | n0 = 7.0
n1 = 3.0
n2 = 4.0
n3 = 4.0
n4 = 1.0
n5 = 1.0
n6 = 4.0
n7 = 4.0
t0 = n0 + n0
t1 = n0 - n1
t2 = t0 / t1
t3 = n0 * t2
t4 = n1 * t2
t5 = n0 + t3
t6 = t4 - n0
answer = t5 / t6
return answer
|
MathQA/67 | python | def problem():
"""
if sharon ' s weekly salary increased by 15 percent , she would earn $ 460 per week . if instead , her weekly salary were to increase by 10 percent , how much would she earn per week ? n0 = 15.0 n1 = 460.0 n2 = 10.0
"""
| if sharon ' s weekly salary increased by 15 percent , she would earn $ 460 per week . if instead , her weekly salary were to increase by 10 percent , how much would she earn per week ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 440.00000000000006)
def check(x): pass
| problem | n0 = 15.0
n1 = 460.0
n2 = 10.0
t0 = n0 / 100.0
t1 = n2 / 100.0
t2 = t0 + 1.0
t3 = n1 / t2
t4 = t1 * t3
answer = t3 + t4
return answer
|
MathQA/68 | python | def problem():
"""
a fruit seller had some oranges . he sells 10 % oranges and still has 360 oranges . how many oranges he had originally ? n0 = 10.0 n1 = 360.0
"""
| a fruit seller had some oranges . he sells 10 % oranges and still has 360 oranges . how many oranges he had originally ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 396.0)
def check(x): pass
| problem | n0 = 10.0
n1 = 360.0
t0 = n0 / 100.0
t1 = n1 * t0
answer = n1 + t1
return answer
|
MathQA/69 | python | def problem():
"""
because he ’ s taxed by his home planet , mork pays a tax rate of 40 % on his income , while mindy pays a rate of only 20 % on hers . if mindy earned 4 times as much as mork did , what was their combined tax rate ? n0 = 40.0 n1 = 20.0 n2 = 4.0
"""
| because he ’ s taxed by his home planet , mork pays a tax rate of 40 % on his income , while mindy pays a rate of only 20 % on hers . if mindy earned 4 times as much as mork did , what was their combined tax rate ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 24.000000000000004)
def check(x): pass
| problem | n0 = 40.0
n1 = 20.0
n2 = 4.0
t0 = n2 + 1.0
t1 = n0 / 100.0
t2 = n1 / 100.0
t3 = n2 * t2
t4 = t1 + t3
t5 = t4 / t0
answer = t5 * 100.0
return answer
|
MathQA/70 | python | def problem():
"""
the length of the bridge , which a train 180 metres long and travelling at 45 km / hr can cross in 30 seconds , is ? n0 = 180.0 n1 = 45.0 n2 = 30.0
"""
| the length of the bridge , which a train 180 metres long and travelling at 45 km / hr can cross in 30 seconds , is ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 195.0)
def check(x): pass
| problem | n0 = 180.0
n1 = 45.0
n2 = 30.0
t0 = 1000.0 / 1.0
t1 = 3600.0 / 1.0
t2 = n1 * t0
t3 = t2 / t1
t4 = n2 * t3
answer = t4 - n0
return answer
|
MathQA/71 | python | def problem():
"""
the difference of 2 digit number & the number obtained by interchanging the digits is 36 . what is the difference the sum and the number if the ratio between the digits of the number is 1 : 2 ? n0 = 2.0 n1 = 36.0 n2 = 1.0 n3 = 2.0
"""
| the difference of 2 digit number & the number obtained by interchanging the digits is 36 . what is the difference the sum and the number if the ratio between the digits of the number is 1 : 2 ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 8.0)
def check(x): pass
| problem | n0 = 2.0
n1 = 36.0
n2 = 1.0
n3 = 2.0
t0 = n0 * 1.0
t1 = 10.0 - 1.0
t2 = t0 * t1
t3 = t2 - t1
t4 = n1 / t3
answer = t4 * 2.0
return answer
|
MathQA/72 | python | def problem():
"""
at the faculty of aerospace engineering , 312 students study random - processing methods , 232 students study scramjet rocket engines and 112 students study them both . if every student in the faculty has to study one of the two subjects , how many students are there in the faculty of aerospace engineering ? n0 = 312.0 n1 = 232.0 n2 = 112.0
"""
| at the faculty of aerospace engineering , 312 students study random - processing methods , 232 students study scramjet rocket engines and 112 students study them both . if every student in the faculty has to study one of the two subjects , how many students are there in the faculty of aerospace engineering ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 432.0)
def check(x): pass
| problem | n0 = 312.0
n1 = 232.0
n2 = 112.0
t0 = n2 / 2.0
t1 = n0 - t0
t2 = n1 - t0
answer = t1 + t2
return answer
|
MathQA/73 | python | def problem():
"""
if the average ( arithmetic mean ) of a and b is 100 , and the average of b and c is 160 , what is the value of a − c ? n0 = 100.0 n1 = 160.0
"""
| if the average ( arithmetic mean ) of a and b is 100 , and the average of b and c is 160 , what is the value of a − c ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 120.0)
def check(x): pass
| problem | n0 = 100.0
n1 = 160.0
t0 = n1 * 2.0
t1 = n0 * 2.0
answer = t0 - t1
return answer
|
MathQA/74 | python | def problem():
"""
if n = 2 ^ 0.20 and n ^ b = 16 , b must equal n0 = 2.0 n1 = 0.2 n2 = 16.0
"""
| if n = 2 ^ 0.20 and n ^ b = 16 , b must equal | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 19.99999999999999)
def check(x): pass
| problem | import math
n0 = 2.0
n1 = 0.2
n2 = 16.0
t0 = math.log(max(1e-5, n2), 2)
t1 = n0**min(n1, 5)
t2 = math.log(max(1e-5, t1), 2)
answer = t0 / t2
return answer
|
MathQA/75 | python | def problem():
"""
a man buys an item at rs . 800 and sells it at the loss of 20 percent . then what is the selling price of that item n0 = 800.0 n1 = 20.0
"""
| a man buys an item at rs . 800 and sells it at the loss of 20 percent . then what is the selling price of that item | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 640.0)
def check(x): pass
| problem | n0 = 800.0
n1 = 20.0
t0 = n1 / 100.0
t1 = 1.0 - t0
answer = n0 * t1
return answer
|
MathQA/76 | python | def problem():
"""
find the expenditure on digging a well 14 m deep and of 3 m diameter at rs . 14 per cubic meter ? n0 = 14.0 n1 = 3.0 n2 = 14.0
"""
| find the expenditure on digging a well 14 m deep and of 3 m diameter at rs . 14 per cubic meter ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 1385.442360233099)
def check(x): pass
| problem | import math
n0 = 14.0
n1 = 3.0
n2 = 14.0
t0 = n1 / 2.0
t1 = math.pi * t0**2 * n0
answer = n2 * t1
return answer
|
MathQA/77 | python | def problem():
"""
rani bought more apples than oranges . she sells apples at ₹ 23 apiece and makes 15 % profit . she sells oranges at ₹ 10 apiece and makes 25 % profit . if she gets ₹ 653 after selling all the apples and oranges , find her profit percentage z . n0 = 23.0 n1 = 15.0 n2 = 10.0 n3 = 25.0 n4 = 653.0
"""
| rani bought more apples than oranges . she sells apples at ₹ 23 apiece and makes 15 % profit . she sells oranges at ₹ 10 apiece and makes 25 % profit . if she gets ₹ 653 after selling all the apples and oranges , find her profit percentage z . | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 17.446043165467625)
def check(x): pass
| problem | n0 = 23.0
n1 = 15.0
n2 = 10.0
n3 = 25.0
n4 = 653.0
t0 = n1 + 2.0
t1 = n3 / 100.0
t2 = n2 * 2.0
t3 = t2 + 1.0
t4 = t1 + 1.0
t5 = n2 / t4
t6 = t3 * t2
t7 = t0 * t5
t8 = t6 + t7
t9 = n4 - t8
t10 = t9 / t8
answer = t10 * 100.0
return answer
|
MathQA/78 | python | def problem():
"""
if 8 men or 12 women can do a piece of work in 25 days , in how many days can the same work be done by 6 men and 11 women ? n0 = 8.0 n1 = 12.0 n2 = 25.0 n3 = 6.0 n4 = 11.0
"""
| if 8 men or 12 women can do a piece of work in 25 days , in how many days can the same work be done by 6 men and 11 women ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 15.0)
def check(x): pass
| problem | n0 = 8.0
n1 = 12.0
n2 = 25.0
n3 = 6.0
n4 = 11.0
t0 = n0 * n2
t1 = n1 * n2
t2 = n3 / t0
t3 = n4 / t1
t4 = t2 + t3
answer = 1 / t4
return answer
|
MathQA/79 | python | def problem():
"""
a train 140 meters long takes 6 seconds to cross a man walking at 5 kmph in the direction opposite to that of the train . find the speed of the train . n0 = 140.0 n1 = 6.0 n2 = 5.0
"""
| a train 140 meters long takes 6 seconds to cross a man walking at 5 kmph in the direction opposite to that of the train . find the speed of the train . | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 78.993280537557)
def check(x): pass
| problem | n0 = 140.0
n1 = 6.0
n2 = 5.0
t0 = n1 * 0.2778
t1 = n0 / t0
answer = t1 - n2
return answer
|
MathQA/80 | python | def problem():
"""
find the average of all the number between 6 and 34 which are divisible by 5 . n0 = 6.0 n1 = 34.0 n2 = 5.0
"""
| find the average of all the number between 6 and 34 which are divisible by 5 . | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 20.0)
def check(x): pass
| problem | n0 = 6.0
n1 = 34.0
n2 = 5.0
t0 = n0 + 4.0
t1 = n1 - 4.0
t2 = t0 + t1
answer = t2 / 2.0
return answer
|
MathQA/81 | python | def problem():
"""
if the wheel is 14 cm then the number of revolutions to cover a distance of 880 cm is ? n0 = 14.0 n1 = 880.0
"""
| if the wheel is 14 cm then the number of revolutions to cover a distance of 880 cm is ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 10.009099181073703)
def check(x): pass
| problem | n0 = 14.0
n1 = 880.0
t0 = 100.0 * 3.0
t1 = 1.0 * 10.0
t2 = t0 + t1
t3 = t2 + 4.0
t4 = t3 / 100.0
t5 = t4 * 2.0
t6 = n0 * t5
answer = n1 / t6
return answer
|
MathQA/82 | python | def problem():
"""
a and b can do a piece of work in 7 days , b and c in 8 days , c and a in 9 days . how long will c take to do it ? n0 = 7.0 n1 = 8.0 n2 = 9.0
"""
| a and b can do a piece of work in 7 days , b and c in 8 days , c and a in 9 days . how long will c take to do it ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 21.44680851063829)
def check(x): pass
| problem | n0 = 7.0
n1 = 8.0
n2 = 9.0
t0 = n0 * 3.0
t1 = t0 / n0
t2 = t0 / n1
t3 = t0 / n2
t4 = t1 + t2
t5 = t4 + t3
t6 = t5 / 2.0
t7 = t6 - t1
answer = t0 / t7
return answer
|
MathQA/83 | python | def problem():
"""
oil cans x and y are right circular cylinders and the height and radius of y are each 5 times those of x . if the oil in can x filled to capacity sells for $ 1 , how much does the oil in y sell for if y is only 1 / 5 th filled ? n0 = 5.0 n1 = 1.0 n2 = 1.0 n3 = 5.0
"""
| oil cans x and y are right circular cylinders and the height and radius of y are each 5 times those of x . if the oil in can x filled to capacity sells for $ 1 , how much does the oil in y sell for if y is only 1 / 5 th filled ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 25.0)
def check(x): pass
| problem | n0 = 5.0
n1 = 1.0
n2 = 1.0
n3 = 5.0
t0 = n0**min(n1, 5)
answer = n0 * t0
return answer
|
MathQA/84 | python | def problem():
"""
car x began traveling at an average speed of 35 miles per hour . after 36 minutes , car y began traveling at an average speed of 38 miles per hour . when both cars had traveled the same distance , both cars stopped . how many miles did car x travel from the time car y began traveling until both cars stopped ? n0 = 35.0 n1 = 36.0 n2 = 38.0
"""
| car x began traveling at an average speed of 35 miles per hour . after 36 minutes , car y began traveling at an average speed of 38 miles per hour . when both cars had traveled the same distance , both cars stopped . how many miles did car x travel from the time car y began traveling until both cars stopped ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 245.0)
def check(x): pass
| problem | n0 = 35.0
n1 = 36.0
n2 = 38.0
t0 = n1 / 60.0
t1 = n2 - n0
t2 = n0 * t0
t3 = t2 / t1
answer = n0 * t3
return answer
|
MathQA/85 | python | def problem():
"""
cindy has her eye on a sundress but thinks it is too expensive . it goes on sale for 15 % less than the original price . before cindy can buy the dress , however , the store raises the new price by 25 % . if the dress cost $ 51 after it went on sale for 15 % off , what is the difference between the original price and the final price ? n0 = 15.0 n1 = 25.0 n2 = 51.0 n3 = 15.0
"""
| cindy has her eye on a sundress but thinks it is too expensive . it goes on sale for 15 % less than the original price . before cindy can buy the dress , however , the store raises the new price by 25 % . if the dress cost $ 51 after it went on sale for 15 % off , what is the difference between the original price and the final price ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 3.75)
def check(x): pass
| problem | n0 = 15.0
n1 = 25.0
n2 = 51.0
n3 = 15.0
t0 = n1 + 100.0
t1 = 100.0 - n0
t2 = t0 / 100.0
t3 = t1 / 100.0
t4 = n2 / t3
t5 = n2 * t2
answer = t5 - t4
return answer
|
MathQA/86 | python | def problem():
"""
a grocer has a sale of rs . 4435 , rs . 4927 , rs . 4855 , rs . 5230 and rs . 4562 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 4500 ? n0 = 4435.0 n1 = 4927.0 n2 = 4855.0 n3 = 5230.0 n4 = 4562.0 n5 = 5.0 n6 = 4500.0
"""
| a grocer has a sale of rs . 4435 , rs . 4927 , rs . 4855 , rs . 5230 and rs . 4562 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 4500 ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 2991.0)
def check(x): pass
| problem | n0 = 4435.0
n1 = 4927.0
n2 = 4855.0
n3 = 5230.0
n4 = 4562.0
n5 = 5.0
n6 = 4500.0
t0 = n5 + 1.0
t1 = n0 + n1
t2 = n2 + t1
t3 = n6 * t0
t4 = n3 + t2
t5 = n4 + t4
answer = t3 - t5
return answer
|
MathQA/87 | python | def problem():
"""
what is the sum of all 3 digit integers formed using the digits 34 and 5 ( repetition is allowed ) n0 = 3.0 n1 = 34.0 n2 = 5.0
"""
| what is the sum of all 3 digit integers formed using the digits 34 and 5 ( repetition is allowed ) | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 11988.0)
def check(x): pass
| problem | n0 = 3.0
n1 = 34.0
n2 = 5.0
t0 = 10.0 + 100.0
t1 = n0 + n2
t2 = 3.0**min(2.0, 5)
t3 = t0 + 1.0
t4 = t1 + 4.0
t5 = t3 * t4
answer = t5 * t2
return answer
|
MathQA/88 | python | def problem():
"""
two men are going along a track rail in the opposite direction . one goods train crossed the first person in 20 sec . after 10 min the train crossed the other person who is coming in opposite direction in 18 sec . after the train has passed , when the two persons will meet ? n0 = 20.0 n1 = 10.0 n2 = 18.0
"""
| two men are going along a track rail in the opposite direction . one goods train crossed the first person in 20 sec . after 10 min the train crossed the other person who is coming in opposite direction in 18 sec . after the train has passed , when the two persons will meet ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 90.0)
def check(x): pass
| problem | n0 = 20.0
n1 = 10.0
n2 = 18.0
t0 = n2 / 2.0
t1 = n1 * 60.0
t2 = t0 * t1
answer = t2 / 60.0
return answer
|
MathQA/89 | python | def problem():
"""
there are 6 people in the elevator . their average weight is 150 lbs . another person enters the elevator , and increases the average weight to 151 lbs . what is the weight of the 7 th person . n0 = 6.0 n1 = 150.0 n2 = 151.0 n3 = 7.0
"""
| there are 6 people in the elevator . their average weight is 150 lbs . another person enters the elevator , and increases the average weight to 151 lbs . what is the weight of the 7 th person . | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 157.0)
def check(x): pass
| problem | n0 = 6.0
n1 = 150.0
n2 = 151.0
n3 = 7.0
t0 = n2 * n3
t1 = n0 * n1
answer = t0 - t1
return answer
|
MathQA/90 | python | def problem():
"""
average of money that group of 4 friends pay for rent each month is $ 800 . after one persons rent is increased by 20 % the new mean is $ 860 . what was original rent of friend whose rent is increased ? n0 = 4.0 n1 = 800.0 n2 = 20.0 n3 = 860.0
"""
| average of money that group of 4 friends pay for rent each month is $ 800 . after one persons rent is increased by 20 % the new mean is $ 860 . what was original rent of friend whose rent is increased ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 1200.0)
def check(x): pass
| problem | n0 = 4.0
n1 = 800.0
n2 = 20.0
n3 = 860.0
t0 = n2 / 100.0
t1 = n3 - n1
t2 = n0 * t1
answer = t2 / t0
return answer
|
MathQA/91 | python | def problem():
"""
if 11.25 m of a uniform steel rod weighs 42.75 kg . what will be the weight of 10 m of the same rod ? n0 = 11.25 n1 = 42.75 n2 = 10.0
"""
| if 11.25 m of a uniform steel rod weighs 42.75 kg . what will be the weight of 10 m of the same rod ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 38.0)
def check(x): pass
| problem | n0 = 11.25
n1 = 42.75
n2 = 10.0
t0 = n1 * n2
answer = t0 / n0
return answer
|
MathQA/92 | python | def problem():
"""
8 men can dig a pit in 20 days . if a man works half as much again a s a boy , then 4 men and 9 boys can dig a similar pit in : n0 = 8.0 n1 = 20.0 n2 = 4.0 n3 = 9.0
"""
| 8 men can dig a pit in 20 days . if a man works half as much again a s a boy , then 4 men and 9 boys can dig a similar pit in : | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 16.0)
def check(x): pass
| problem | n0 = 8.0
n1 = 20.0
n2 = 4.0
n3 = 9.0
t0 = 3.0 / 2.0
t1 = n0 * t0
t2 = n2 * t0
t3 = n3 + t2
t4 = n1 * t1
answer = t4 / t3
return answer
|
MathQA/93 | python | def problem():
"""
john makes $ 40 a week from his job . he earns a raise and now makes $ 70 a week . what is the % increase ? n0 = 40.0 n1 = 70.0
"""
| john makes $ 40 a week from his job . he earns a raise and now makes $ 70 a week . what is the % increase ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 75.0)
def check(x): pass
| problem | n0 = 40.0
n1 = 70.0
t0 = n1 - n0
t1 = t0 / n0
answer = t1 * 100.0
return answer
|
MathQA/94 | python | def problem():
"""
a train is 410 meter long is running at a speed of 45 km / hour . in what time will it pass a bridge of 140 meter length n0 = 410.0 n1 = 45.0 n2 = 140.0
"""
| a train is 410 meter long is running at a speed of 45 km / hour . in what time will it pass a bridge of 140 meter length | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 44.0)
def check(x): pass
| problem | n0 = 410.0
n1 = 45.0
n2 = 140.0
t0 = n0 + n2
t1 = n1 * 1000.0
t2 = t1 / 3600.0
answer = t0 / t2
return answer
|
MathQA/95 | python | def problem():
"""
the average ( arithmetic mean ) of 4 positive integers is 50 . if the average of 2 of these integers is 40 , what is the greatest possible value that one of the other 2 integers can have ? n0 = 4.0 n1 = 50.0 n2 = 2.0 n3 = 40.0 n4 = 2.0
"""
| the average ( arithmetic mean ) of 4 positive integers is 50 . if the average of 2 of these integers is 40 , what is the greatest possible value that one of the other 2 integers can have ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 120.0)
def check(x): pass
| problem | n0 = 4.0
n1 = 50.0
n2 = 2.0
n3 = 40.0
n4 = 2.0
t0 = n0 * n1
t1 = n2 * n3
answer = t0 - t1
return answer
|
MathQA/96 | python | def problem():
"""
an uneducated retailer marks all his goods at 50 % above the cost price and thinking that he will still make 25 % profit , offers a discount of 25 % on the marked price . what is his actual profit on the sales ? n0 = 50.0 n1 = 25.0 n2 = 25.0
"""
| an uneducated retailer marks all his goods at 50 % above the cost price and thinking that he will still make 25 % profit , offers a discount of 25 % on the marked price . what is his actual profit on the sales ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 12.5)
def check(x): pass
| problem | n0 = 50.0
n1 = 25.0
n2 = 25.0
t0 = n0 / 100.0
t1 = n1 / 100.0
t2 = t0 + 1.0
t3 = t2 * t1
t4 = t2 - t3
t5 = t4 - 1.0
answer = t5 * 100.0
return answer
|
MathQA/97 | python | def problem():
"""
the mass of 1 cubic meter of a substance is 300 kg under certain conditions . what is the volume in cubic centimeters of 1 gram of this substance under these conditions ? ( 1 kg = 1,000 grams and 1 cubic meter = 1 , 000,000 cubic centimeters ) n0 = 1.0 n1 = 300.0 n2 = 1.0 n3 = 1.0 n4 = 1000.0 n5 = 1.0 n6 = 1.0 n7 = 0.0
"""
| the mass of 1 cubic meter of a substance is 300 kg under certain conditions . what is the volume in cubic centimeters of 1 gram of this substance under these conditions ? ( 1 kg = 1,000 grams and 1 cubic meter = 1 , 000,000 cubic centimeters ) | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 3.3333333333333335)
def check(x): pass
| problem | n0 = 1.0
n1 = 300.0
n2 = 1.0
n3 = 1.0
n4 = 1000.0
n5 = 1.0
n6 = 1.0
n7 = 0.0
t0 = n4 * n4
t1 = n1 * n4
answer = t0 / t1
return answer
|
MathQA/98 | python | def problem():
"""
a train 520 m long can cross an electric pole in 20 sec and then find the speed of the train ? n0 = 520.0 n1 = 20.0
"""
| a train 520 m long can cross an electric pole in 20 sec and then find the speed of the train ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 93.6)
def check(x): pass
| problem | n0 = 520.0
n1 = 20.0
t0 = n0 / 1000.0
t1 = n1 / 3600.0
answer = t0 / t1
return answer
|
MathQA/99 | python | def problem():
"""
in a throw of dice what is the probability of ge æ « ng number greater than 4 n0 = 4.0
"""
| in a throw of dice what is the probability of ge æ « ng number greater than 4 | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 0.3333333333333333)
def check(x): pass
| problem | n0 = 4.0
t0 = 6.0 - n0
answer = t0 / 6.0
return answer
|