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MathQA/1800 | python | def problem():
"""
the price of a t . v . set worth rs . 70000 is to be paid in 20 installments of rs . 1000 each . if the rate of interest be 6 % per annum , and the first installment be paid at the time of purchase , then the value of the last installment covering the interest as well will be ? n0 = 70000.0 n1 = 20.0 n2 = 1000.0 n3 = 6.0
"""
| the price of a t . v . set worth rs . 70000 is to be paid in 20 installments of rs . 1000 each . if the rate of interest be 6 % per annum , and the first installment be paid at the time of purchase , then the value of the last installment covering the interest as well will be ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 69000.0)
def check(x): pass
| problem | n0 = 70000.0
n1 = 20.0
n2 = 1000.0
n3 = 6.0
answer = n0 - n2
return answer
|
MathQA/1801 | python | def problem():
"""
the original price of a suit is $ 200 . the price increased 20 % , and after this increase , the store published a 20 % off coupon for a one - day sale . given that the consumers who used the coupon on sale day were getting 20 % off the increased price , how much did these consumers pay for the suit ? n0 = 200.0 n1 = 20.0 n2 = 20.0 n3 = 20.0
"""
| the original price of a suit is $ 200 . the price increased 20 % , and after this increase , the store published a 20 % off coupon for a one - day sale . given that the consumers who used the coupon on sale day were getting 20 % off the increased price , how much did these consumers pay for the suit ? | 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 = 200.0
n1 = 20.0
n2 = 20.0
n3 = 20.0
t0 = n0 * n1
t1 = t0 / 100.0
t2 = n0 + t1
t3 = n1 * t2
t4 = t3 / 100.0
answer = t2 - t4
return answer
|
MathQA/1802 | python | def problem():
"""
in a basketball game , dhoni scored 30 points more than dravid , but only half as many points as shewag . if the 3 players scored a combined total of 150 points , how many points did dhoni score ? n0 = 30.0 n1 = 3.0 n2 = 150.0
"""
| in a basketball game , dhoni scored 30 points more than dravid , but only half as many points as shewag . if the 3 players scored a combined total of 150 points , how many points did dhoni score ? | 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 = 30.0
n1 = 3.0
n2 = 150.0
t0 = n0 + n2
t1 = 1.0 + 2.0
t2 = t1 + 1.0
answer = t0 / t2
return answer
|
MathQA/1803 | python | def problem():
"""
on a partly cloudy day , milton decides to walk back from work . when it is sunny , he walks at a speed of s miles / hr ( s is an integer ) and when it gets cloudy , he increases his speed to ( s + 1 ) miles / hr . if his average speed for the entire distance is 2.8 miles / hr , what fraction of the total distance did he cover while the sun was shining on him ? n0 = 1.0 n1 = 2.8
"""
| on a partly cloudy day , milton decides to walk back from work . when it is sunny , he walks at a speed of s miles / hr ( s is an integer ) and when it gets cloudy , he increases his speed to ( s + 1 ) miles / hr . if his average speed for the entire distance is 2.8 miles / hr , what fraction of the total distance did he cover while the sun was shining on him ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 0.14285714285714288)
def check(x): pass
| problem | n0 = 1.0
n1 = 2.8
t0 = n1 + n1
t1 = n1 + t0
t2 = t1 + t0
t3 = t2 / 2.0
answer = n0 / t3
return answer
|
MathQA/1804 | python | def problem():
"""
if the sample interest on a sum of money 10 % per annum for 2 years is $ 1200 , find the compound interest on the same sum for the same period at the same rate ? n0 = 10.0 n1 = 2.0 n2 = 1200.0
"""
| if the sample interest on a sum of money 10 % per annum for 2 years is $ 1200 , find the compound interest on the same sum for the same period at the same rate ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 1260.0)
def check(x): pass
| problem | n0 = 10.0
n1 = 2.0
n2 = 1200.0
t0 = n2 * 100.0
t1 = n0 * n1
t2 = t0 / t1
t3 = n0 * t2
t4 = t3 / 100.0
t5 = t2 + t4
t6 = n0 * t5
t7 = t6 / 100.0
t8 = t5 + t7
answer = t8 - t2
return answer
|
MathQA/1805 | python | def problem():
"""
if 35 % of a number is 12 less than 50 % of that number , then the number is ? n0 = 35.0 n1 = 12.0 n2 = 50.0
"""
| if 35 % of a number is 12 less than 50 % of that number , then the number is ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 80.0)
def check(x): pass
| problem | n0 = 35.0
n1 = 12.0
n2 = 50.0
t0 = n2 - n0
t1 = t0 / 100.0
answer = n1 / t1
return answer
|
MathQA/1806 | python | def problem():
"""
rs 50000 is divided into two parts one part is given to a person with 10 % interest and another part is given to a person with 20 % interest . at the end of first year he gets profit 8000 find money given by 10 % ? n0 = 50000.0 n1 = 10.0 n2 = 20.0 n3 = 8000.0 n4 = 10.0
"""
| rs 50000 is divided into two parts one part is given to a person with 10 % interest and another part is given to a person with 20 % interest . at the end of first year he gets profit 8000 find money given by 10 % ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 20000.0)
def check(x): pass
| problem | n0 = 50000.0
n1 = 10.0
n2 = 20.0
n3 = 8000.0
n4 = 10.0
t0 = n1 / 100.0
t1 = n0 * n2
t2 = t1 / 100.0
t3 = t2 - n3
answer = t3 / t0
return answer
|
MathQA/1807 | python | def problem():
"""
a number when divided by a certain divisor left remainder 245 , when twice the number was divided by the same divisor , the remainder was 112 . find the divisor ? n0 = 245.0 n1 = 112.0
"""
| a number when divided by a certain divisor left remainder 245 , when twice the number was divided by the same divisor , the remainder was 112 . find the divisor ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 378.0)
def check(x): pass
| problem | n0 = 245.0
n1 = 112.0
t0 = n0 * 2.0
answer = t0 - n1
return answer
|
MathQA/1808 | python | def problem():
"""
85 white and black tiles will be used to form a 10 x 10 square pattern . if there must be at least one black tile in every row and at least one white tile in every column , what is the maximum difference between the number of black and white tiles that can be used ? n0 = 85.0 n1 = 10.0 n2 = 10.0
"""
| 85 white and black tiles will be used to form a 10 x 10 square pattern . if there must be at least one black tile in every row and at least one white tile in every column , what is the maximum difference between the number of black and white tiles that can be used ? | 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 = 85.0
n1 = 10.0
n2 = 10.0
answer = n0 - n1
return answer
|
MathQA/1809 | python | def problem():
"""
the parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places n0 = 16.0 n1 = 14.0
"""
| the parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 23.561944901923447)
def check(x): pass
| problem | import math
n0 = 16.0
n1 = 14.0
t0 = 2 * (n0 + n1) # perimetere of rectangle
t1 = t0 / 4. # square edge given perimeter
t2 = t1 / 2.0
t3 = 2 * math.pi * t2
answer = t3 / 2.0
return answer
|
MathQA/1810 | python | def problem():
"""
a flagstaff 17.5 m high casts a shadow of length 40.25 m . the height of the building , which casts a shadow of length 28.75 m under similar conditions will be : n0 = 17.5 n1 = 40.25 n2 = 28.75
"""
| a flagstaff 17.5 m high casts a shadow of length 40.25 m . the height of the building , which casts a shadow of length 28.75 m under similar conditions will be : | 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 = 17.5
n1 = 40.25
n2 = 28.75
t0 = n0 / n1
answer = n2 * t0
return answer
|
MathQA/1811 | python | def problem():
"""
x can do a piece of work in 4 hours ; y and z together can do it in 3 hours , while x and z together can do it in 2 hours . how long will y alone take to do it ? n0 = 4.0 n1 = 3.0 n2 = 2.0
"""
| x can do a piece of work in 4 hours ; y and z together can do it in 3 hours , while x and z together can do it in 2 hours . how long will y 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 / t4
return answer
|
MathQA/1812 | python | def problem():
"""
in a certain company 20 % of the men and 40 % of the women attended the annual company picnic . if 40 % of all the employees are men . what % of all the employee went to the picnic ? n0 = 20.0 n1 = 40.0 n2 = 40.0
"""
| in a certain company 20 % of the men and 40 % of the women attended the annual company picnic . if 40 % of all the employees are men . what % of all the employee went to the picnic ? | 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 = 20.0
n1 = 40.0
n2 = 40.0
t0 = n2 / 100.0
t1 = n0 / 100.0
t2 = n1 / 100.0
t3 = 100.0 - n2
t4 = t3 / 100.0
t5 = t0 * t1
t6 = t4 * t2
t7 = t5 + t6
answer = t7 * 100.0
return answer
|
MathQA/1813 | python | def problem():
"""
excluding stoppages , the speed of a bus is 84 kmph and including stoppages , it is 70 kmph . for how many minutes does the bus stop per hour ? n0 = 84.0 n1 = 70.0
"""
| excluding stoppages , the speed of a bus is 84 kmph and including stoppages , it is 70 kmph . for how many minutes does the bus stop per hour ? | 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 = 84.0
n1 = 70.0
t0 = n0 - n1
t1 = t0 / n0
answer = t1 * 60.0
return answer
|
MathQA/1814 | python | def problem():
"""
40 is what percent of 160 ? n0 = 40.0 n1 = 160.0
"""
| 40 is what percent of 160 ? | 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 = 40.0
n1 = 160.0
t0 = n0 / n1
answer = t0 * 100.0
return answer
|
MathQA/1815 | python | def problem():
"""
the l . c . m of 22 , 54 , 108 , 135 and 198 is n0 = 22.0 n1 = 54.0 n2 = 108.0 n3 = 135.0 n4 = 198.0
"""
| the l . c . m of 22 , 54 , 108 , 135 and 198 is | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 5940.0)
def check(x): pass
| problem | n0 = 22.0
n1 = 54.0
n2 = 108.0
n3 = 135.0
n4 = 198.0
t0 = n0 / 2.0
t1 = n3 / 3.0
t2 = 2.0 * 2.0
t3 = 3.0 * 3.0
t4 = t1 / 3.0
t5 = t3 * 3.0
t6 = t4 / 3.0
t7 = t2 * t5
t8 = t6 * t7
answer = t0 * t8
return answer
|
MathQA/1816 | python | def problem():
"""
the sale price sarees listed for rs . 280 after successive discount is 12 % and 8 % is ? n0 = 280.0 n1 = 12.0 n2 = 8.0
"""
| the sale price sarees listed for rs . 280 after successive discount is 12 % and 8 % is ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 226.68800000000002)
def check(x): pass
| problem | n0 = 280.0
n1 = 12.0
n2 = 8.0
t0 = n0 * n1
t1 = t0 / 100.0
t2 = n0 - t1
t3 = n2 * t2
t4 = t3 / 100.0
answer = t2 - t4
return answer
|
MathQA/1817 | python | def problem():
"""
a girl sitting in a train which is travelling at 40 kmph observes that a goods train travelling in a opposite direction , takes 12 seconds to pass him . if the goods train is 1120 m long , find its speed . n0 = 40.0 n1 = 12.0 n2 = 1120.0
"""
| a girl sitting in a train which is travelling at 40 kmph observes that a goods train travelling in a opposite direction , takes 12 seconds to pass him . if the goods train is 1120 m long , find its speed . | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 295.973122150228)
def check(x): pass
| problem | n0 = 40.0
n1 = 12.0
n2 = 1120.0
t0 = n2 / n1
t1 = t0 / 0.2778
answer = t1 - n0
return answer
|
MathQA/1818 | python | def problem():
"""
a certain list consists of 21 different numbers . if n is in the list and n is 4 times the average ( arithmetic mean ) of the other 20 numbers in the list , then n is what fraction t of the sum of the 21 numbers in the list ? n0 = 21.0 n1 = 4.0 n2 = 20.0 n3 = 21.0
"""
| a certain list consists of 21 different numbers . if n is in the list and n is 4 times the average ( arithmetic mean ) of the other 20 numbers in the list , then n is what fraction t of the sum of the 21 numbers in the list ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 0.16666666666666666)
def check(x): pass
| problem | n0 = 21.0
n1 = 4.0
n2 = 20.0
n3 = 21.0
t0 = n2 / n1
t1 = 1.0 * 1.0
t2 = n0 + t0
t3 = t2 / n1
t4 = t3 * 2.0
t5 = t4 - n1
t6 = t5 - 3.0
answer = t1 / t6
return answer
|
MathQA/1819 | python | def problem():
"""
a sum was put at simple interest at certain rate for 3 years . had it been put at 1 % higher rate it would have fetched rs . 66 more . the sum is : a . rs . 2,400 b . rs . 2,100 c . rs . 2,200 d . rs . 2,480 n0 = 3.0 n1 = 1.0 n2 = 66.0 n3 = 2400.0 n4 = 2100.0 n5 = 2200.0 n6 = 2480.0
"""
| a sum was put at simple interest at certain rate for 3 years . had it been put at 1 % higher rate it would have fetched rs . 66 more . the sum is : a . rs . 2,400 b . rs . 2,100 c . rs . 2,200 d . rs . 2,480 | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 2200.0)
def check(x): pass
| problem | n0 = 3.0
n1 = 1.0
n2 = 66.0
n3 = 2400.0
n4 = 2100.0
n5 = 2200.0
n6 = 2480.0
t0 = n2 / n0
answer = t0 * 100.0
return answer
|
MathQA/1820 | python | def problem():
"""
find the least number of complete years in which a sum of money put out at 45 % compound interest will be more than double of itself ? n0 = 45.0
"""
| find the least number of complete years in which a sum of money put out at 45 % compound interest will be more than double of itself ? | 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 = 45.0
t0 = n0 / 100.0
t1 = math.log(max(1e-5, 2.0), 2)
t2 = t0 + 1.0
t3 = math.log(max(1e-5, t2), 2)
t4 = t1 / t3
t5 = t4 + 1.0
answer = math.floor(t5)
return answer
|
MathQA/1821 | python | def problem():
"""
the speed of the boat in still water in 12 kmph . it can travel downstream through 45 kms in 3 hrs . in what time would it cover the same distance upstream ? n0 = 12.0 n1 = 45.0 n2 = 3.0
"""
| the speed of the boat in still water in 12 kmph . it can travel downstream through 45 kms in 3 hrs . in what time would it cover the same distance upstream ? | 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 | n0 = 12.0
n1 = 45.0
n2 = 3.0
t0 = n1 / n2
t1 = t0 - n0
t2 = n0 - t1
answer = n1 / t2
return answer
|
MathQA/1822 | python | def problem():
"""
the avg weight of a , b & c is 55 kg . if d joins the group , the avg weight of the group becomes 60 kg . if another man e who weights is 3 kg more than d replaces a , then the avgof b , c , d & e becomes 58 kg . what is the weight of a ? n0 = 55.0 n1 = 60.0 n2 = 3.0 n3 = 58.0
"""
| the avg weight of a , b & c is 55 kg . if d joins the group , the avg weight of the group becomes 60 kg . if another man e who weights is 3 kg more than d replaces a , then the avgof b , c , d & e becomes 58 kg . what is the weight of a ? | 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 = 55.0
n1 = 60.0
n2 = 3.0
n3 = 58.0
t0 = n1 * 4.0
t1 = n3 * 4.0
t2 = n0 * n2
t3 = t0 - t2
t4 = n2 + t3
t5 = t1 - t4
answer = t0 - t5
return answer
|
MathQA/1823 | python | def problem():
"""
a train 120 m in length crosses a telegraph post in 12 seconds . the speed of the train is ? n0 = 120.0 n1 = 12.0
"""
| a train 120 m in length crosses a telegraph post in 12 seconds . the speed of the train is ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 36.0)
def check(x): pass
| problem | n0 = 120.0
n1 = 12.0
t0 = n0 / n1
answer = t0 * 3.6
return answer
|
MathQA/1824 | python | def problem():
"""
if ' a ' completes a piece of work in 3 days , which ' b ' completes it in 5 days and ' c ' takes 10 days to complete the same work . how long will they take to complete the work , if they work together ? n0 = 3.0 n1 = 5.0 n2 = 10.0
"""
| if ' a ' completes a piece of work in 3 days , which ' b ' completes it in 5 days and ' c ' takes 10 days to complete the same work . how long will they take to complete the work , if they work together ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 1.5)
def check(x): pass
| problem | n0 = 3.0
n1 = 5.0
n2 = 10.0
t0 = n1 / n2
t1 = n0 - 2.0
answer = t0 + t1
return answer
|
MathQA/1825 | python | def problem():
"""
a certain drink of type a is prepared by mixing 4 parts milk with 3 parts fruit juice . another drink of type b is prepared by mixing 4 parts of fruit juice and 3 parts of milk . how many liters of fruit juice must be added to 105 liters of drink a to convert it to drink b ? n0 = 4.0 n1 = 3.0 n2 = 4.0 n3 = 3.0 n4 = 105.0
"""
| a certain drink of type a is prepared by mixing 4 parts milk with 3 parts fruit juice . another drink of type b is prepared by mixing 4 parts of fruit juice and 3 parts of milk . how many liters of fruit juice must be added to 105 liters of drink a to convert it to drink b ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 35.0)
def check(x): pass
| problem | n0 = 4.0
n1 = 3.0
n2 = 4.0
n3 = 3.0
n4 = 105.0
t0 = n0 + n1
t1 = n0 / t0
t2 = n1 / t0
t3 = n4 * t1
t4 = n4 * t2
t5 = n0 * t3
t6 = t5 / n1
answer = t6 - t4
return answer
|
MathQA/1826 | python | def problem():
"""
at what rate percent per annum will a sum of money double in 9 years . n0 = 9.0
"""
| at what rate percent per annum will a sum of money double in 9 years . | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 11.11111111111111)
def check(x): pass
| problem | n0 = 9.0
answer = 100.0 / n0
return answer
|
MathQA/1827 | python | def problem():
"""
noelle walks from point a to point b at an average speed of 3 kilometers per hour . at what speed , in kilometers per hour , must noelle walk from point b to point a so that her average speed for the entire trip is 4 kilometers per hour ? n0 = 3.0 n1 = 4.0
"""
| noelle walks from point a to point b at an average speed of 3 kilometers per hour . at what speed , in kilometers per hour , must noelle walk from point b to point a so that her average speed for the entire trip is 4 kilometers per hour ? | 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
n1 = 4.0
t0 = n0 * n1
t1 = n0 * 2.0
t2 = t1 - n1
answer = t0 / t2
return answer
|
MathQA/1828 | python | def problem():
"""
the product of x and y is a constant . if the value of x is increased by 40 % , by what percentage must the value of y be decreased ? n0 = 40.0
"""
| the product of x and y is a constant . if the value of x is increased by 40 % , by what percentage must the value of y be decreased ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 28.57142857142857)
def check(x): pass
| problem | n0 = 40.0
t0 = n0 + 100.0
t1 = 100.0 / t0
t2 = 1.0 - t1
answer = t2 * 100.0
return answer
|
MathQA/1829 | python | def problem():
"""
if a and b are the roots of the equation x 2 - 6 x + 6 = 0 , then the value of a 2 + b 2 is : n0 = 2.0 n1 = 6.0 n2 = 6.0 n3 = 0.0 n4 = 2.0 n5 = 2.0
"""
| if a and b are the roots of the equation x 2 - 6 x + 6 = 0 , then the value of a 2 + b 2 is : | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 23.999999999999993)
def check(x): pass
| problem | import math
n0 = 2.0
n1 = 6.0
n2 = 6.0
n3 = 0.0
n4 = 2.0
n5 = 2.0
t0 = n1 * 4.0
t1 = n1**min(n0, 5)
t2 = t1 - t0
t3 = math.sqrt(max(0, t2))
t4 = n1 + t3
t5 = n1 - t3
t6 = t5 / n0
t7 = t4 / n0
t8 = t6**min(n0, 5)
t9 = t7**min(n0, 5)
answer = t8 + t9
return answer
|
MathQA/1830 | python | def problem():
"""
6 persons in an organization including x and y were to be divided in two groups of 3 members each . the total number of groups containing both x and y is what fraction of the total number of groups which can be formed ? n0 = 6.0 n1 = 3.0
"""
| 6 persons in an organization including x and y were to be divided in two groups of 3 members each . the total number of groups containing both x and y is what fraction of the total number of groups which can be formed ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 0.3)
def check(x): pass
| problem | import math
n0 = 6.0
n1 = 3.0
t0 = math.factorial(min(15, int(n1)))
t1 = n0 - 1.0
t2 = t1 * 4.0
answer = t0 / t2
return answer
|
MathQA/1831 | python | def problem():
"""
having scored 94 runs in the 19 th inning , a cricketer increases his average score by 4 . what will be his average score after 19 innings ? n0 = 94.0 n1 = 19.0 n2 = 4.0 n3 = 19.0
"""
| having scored 94 runs in the 19 th inning , a cricketer increases his average score by 4 . what will be his average score after 19 innings ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 22.0)
def check(x): pass
| problem | n0 = 94.0
n1 = 19.0
n2 = 4.0
n3 = 19.0
t0 = n1 * n2
t1 = n0 - t0
answer = n2 + t1
return answer
|
MathQA/1832 | python | def problem():
"""
a train 150 m long running at 72 kmph crosses a platform in 25 sec . what is the length of the platform ? n0 = 150.0 n1 = 72.0 n2 = 25.0
"""
| a train 150 m long running at 72 kmph crosses a platform in 25 sec . what is the length of the platform ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 350.04)
def check(x): pass
| problem | n0 = 150.0
n1 = 72.0
n2 = 25.0
t0 = n1 * 0.2778
t1 = n2 * t0
answer = t1 - n0
return answer
|
MathQA/1833 | python | def problem():
"""
the present worth of a certain bill due sometime hence is rs . 1296 and the true discount is rs . 72 . what is the banker ' s discount ? n0 = 1296.0 n1 = 72.0
"""
| the present worth of a certain bill due sometime hence is rs . 1296 and the true discount is rs . 72 . what is the banker ' s discount ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 76.0)
def check(x): pass
| problem | n0 = 1296.0
n1 = 72.0
t0 = n1**min(2.0, 5)
t1 = t0 / n0
answer = n1 + t1
return answer
|
MathQA/1834 | python | def problem():
"""
a truck covers a distance of 376 km at a certain speed in 8 hours . how much time would a car take at an average speed which is 18 kmph more than that of the speed of the truck to cover a distance which is 14 km more than that travelled by the truck ? n0 = 376.0 n1 = 8.0 n2 = 18.0 n3 = 14.0
"""
| a truck covers a distance of 376 km at a certain speed in 8 hours . how much time would a car take at an average speed which is 18 kmph more than that of the speed of the truck to cover a distance which is 14 km more than that travelled by the truck ? | 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 = 376.0
n1 = 8.0
n2 = 18.0
n3 = 14.0
t0 = n0 + n3
t1 = n0 / n1
t2 = n2 + t1
answer = t0 / t2
return answer
|
MathQA/1835 | python | def problem():
"""
mike took a taxi to the airport and paid $ 2.50 to start plus $ 0.25 per mile . annie took a different route to the airport and paid $ 2.50 plus $ 5.00 in bridge toll fees plus $ 0.25 per mile . if each was charged exactly the same amount , and annie ' s ride was 18 miles , how many miles was mike ' s ride ? n0 = 2.5 n1 = 0.25 n2 = 2.5 n3 = 5.0 n4 = 0.25 n5 = 18.0
"""
| mike took a taxi to the airport and paid $ 2.50 to start plus $ 0.25 per mile . annie took a different route to the airport and paid $ 2.50 plus $ 5.00 in bridge toll fees plus $ 0.25 per mile . if each was charged exactly the same amount , and annie ' s ride was 18 miles , how many miles was mike ' s ride ? | 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 = 2.5
n1 = 0.25
n2 = 2.5
n3 = 5.0
n4 = 0.25
n5 = 18.0
t0 = n0 + n3
t1 = n1 * n5
t2 = t0 + t1
t3 = t2 - n0
answer = t3 / n1
return answer
|
MathQA/1836 | python | def problem():
"""
a mobile battery in 1 hour charges to 20 percent . how much time ( in minute ) will it require more to charge to 55 percent . n0 = 1.0 n1 = 20.0 n2 = 55.0
"""
| a mobile battery in 1 hour charges to 20 percent . how much time ( in minute ) will it require more to charge to 55 percent . | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 165.0)
def check(x): pass
| problem | n0 = 1.0
n1 = 20.0
n2 = 55.0
t0 = n2 / n1
answer = t0 * 60.0
return answer
|
MathQA/1837 | python | def problem():
"""
in a box of 11 pens , a total of 3 are defective . if a customer buys 2 pens selected at random from the box , what is the probability that neither pen will be defective ? n0 = 11.0 n1 = 3.0 n2 = 2.0
"""
| in a box of 11 pens , a total of 3 are defective . if a customer buys 2 pens selected at random from the box , what is the probability that neither pen will be defective ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 0.509090909090909)
def check(x): pass
| problem | n0 = 11.0
n1 = 3.0
n2 = 2.0
t0 = n0 - n1
t1 = n0 - 1.0
t2 = t0 / n0
t3 = t0 - 1.0
t4 = t3 / t1
answer = t2 * t4
return answer
|
MathQA/1838 | python | def problem():
"""
a rectangular box measures internally 1.6 m long , 1 m broad and 60 cm deep . the number of cubical box each of edge 20 cm that can be packed inside the box is : n0 = 1.6 n1 = 1.0 n2 = 60.0 n3 = 20.0
"""
| a rectangular box measures internally 1.6 m long , 1 m broad and 60 cm deep . the number of cubical box each of edge 20 cm that can be packed inside the box is : | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 119.99999999999999)
def check(x): pass
| problem | n0 = 1.6
n1 = 1.0
n2 = 60.0
n3 = 20.0
t0 = n3 / 100.0
t1 = n2 / 100.0
t2 = n0 / t0
t3 = n1 / t0
t4 = t1 / t0
answer = t2 * t3 * t4
return answer
|
MathQA/1839 | python | def problem():
"""
bucket p has thrice the capacity as bucket q . it takes 60 turns for bucket p to fill the empty drum . how many turns it will take for both the buckets p & q , having each turn together to fill the empty drum ? n0 = 60.0
"""
| bucket p has thrice the capacity as bucket q . it takes 60 turns for bucket p to fill the empty drum . how many turns it will take for both the buckets p & q , having each turn together to fill the empty drum ? | 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 = 60.0
t0 = 1.0 / n0
t1 = n0 * 3.0
t2 = 1.0 / t1
t3 = t0 + t2
answer = 1.0 / t3
return answer
|
MathQA/1840 | python | def problem():
"""
a father said his son , ` ` i was as old as you are at present at the time of your birth . ` ` if the father age is 40 now , the son age 5 years back was n0 = 40.0 n1 = 5.0
"""
| a father said his son , ` ` i was as old as you are at present at the time of your birth . ` ` if the father age is 40 now , the son age 5 years back was | 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 = 40.0
n1 = 5.0
t0 = n0 / 2.0
answer = t0 - n1
return answer
|
MathQA/1841 | python | def problem():
"""
the h . c . f . of two numbers is 30 and the other two factors of their l . c . m . are 13 and 14 . the larger of the two numbers is : n0 = 30.0 n1 = 13.0 n2 = 14.0
"""
| the h . c . f . of two numbers is 30 and the other two factors of their l . c . m . are 13 and 14 . the larger of the two numbers is : | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 420.0)
def check(x): pass
| problem | n0 = 30.0
n1 = 13.0
n2 = 14.0
answer = n0 * n2
return answer
|
MathQA/1842 | python | def problem():
"""
find compound interest on rs . 7500 at 4 % per year for 2 years , compounded annually . n0 = 7500.0 n1 = 4.0 n2 = 2.0
"""
| find compound interest on rs . 7500 at 4 % per year for 2 years , compounded annually . | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 612.0)
def check(x): pass
| problem | n0 = 7500.0
n1 = 4.0
n2 = 2.0
t0 = n0 * n1
t1 = t0 / 100.0
t2 = n0 + t1
t3 = n1 * t2
t4 = t3 / 100.0
t5 = t2 + t4
answer = t5 - n0
return answer
|
MathQA/1843 | python | def problem():
"""
in an election only two candidates contested . a candidate secured 70 % of the valid votes and won by a majority of 178 votes . find the total number of valid votes ? n0 = 70.0 n1 = 178.0
"""
| in an election only two candidates contested . a candidate secured 70 % of the valid votes and won by a majority of 178 votes . find the total number of valid votes ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 445.0)
def check(x): pass
| problem | n0 = 70.0
n1 = 178.0
t0 = 100.0 - n0
t1 = n0 - t0
t2 = t1 / 100.0
answer = n1 / t2
return answer
|
MathQA/1844 | python | def problem():
"""
6 computers , each working at the same constant rate , together can process a certain amount of data in 9 days . how many additional computers , each working at the same constant rate , will be needed to process the same amount of data in 6 days ? n0 = 6.0 n1 = 9.0 n2 = 6.0
"""
| 6 computers , each working at the same constant rate , together can process a certain amount of data in 9 days . how many additional computers , each working at the same constant rate , will be needed to process the same amount of data in 6 days ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 3.0)
def check(x): pass
| problem | n0 = 6.0
n1 = 9.0
n2 = 6.0
t0 = 1.0 / n0
t1 = 1.0 / n1
t2 = n0 * t0
t3 = t2 / t1
answer = t3 - n0
return answer
|
MathQA/1845 | python | def problem():
"""
mark bought a set of 6 flower pots of different sizes at a total cost of $ 8.00 . each pot cost 0.25 more than the next one below it in size . what was the cost , in dollars , of the largest pot ? n0 = 6.0 n1 = 8.0 n2 = 0.25
"""
| mark bought a set of 6 flower pots of different sizes at a total cost of $ 8.00 . each pot cost 0.25 more than the next one below it in size . what was the cost , in dollars , of the largest pot ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 1.9583333333333335)
def check(x): pass
| problem | n0 = 6.0
n1 = 8.0
n2 = 0.25
t0 = n0 - 1.0
t1 = n0 * t0
t2 = n2 * t0
t3 = t1 / 2.0
t4 = n2 * t3
t5 = n1 - t4
t6 = t5 / n0
answer = t6 + t2
return answer
|
MathQA/1846 | python | def problem():
"""
a rectangular grassy plot 110 m by 65 cm has a gravel path . 5 cm wide all round it on the inside . find the cost of gravelling the path at 80 paise per sq . mt n0 = 110.0 n1 = 65.0 n2 = 5.0 n3 = 80.0
"""
| a rectangular grassy plot 110 m by 65 cm has a gravel path . 5 cm wide all round it on the inside . find the cost of gravelling the path at 80 paise per sq . mt | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 680.0)
def check(x): pass
| problem | n0 = 110.0
n1 = 65.0
n2 = 5.0
n3 = 80.0
t0 = n3 / 100.0
t1 = n0 * n1
t2 = n0 - n2
t3 = n1 - n2
t4 = t2 * t3
t5 = t1 - t4
answer = t0 * t5
return answer
|
MathQA/1847 | python | def problem():
"""
in a dairy farm , 16 cows eat 16 bags of husk in 16 days . in how many days one cow will eat one bag of husk ? n0 = 16.0 n1 = 16.0 n2 = 16.0
"""
| in a dairy farm , 16 cows eat 16 bags of husk in 16 days . in how many days one cow will eat one bag of husk ? | 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 = 16.0
n1 = 16.0
n2 = 16.0
t0 = n0 / n0
answer = n0 * t0
return answer
|
MathQA/1848 | python | def problem():
"""
in 12 pumps can raise 1218 tons of water in 11 days of 9 hrs each , how many pumps will raise 2030 tons of water in 12 days of 11 hrs each ? n0 = 12.0 n1 = 1218.0 n2 = 11.0 n3 = 9.0 n4 = 2030.0 n5 = 12.0 n6 = 11.0
"""
| in 12 pumps can raise 1218 tons of water in 11 days of 9 hrs each , how many pumps will raise 2030 tons of water in 12 days of 11 hrs each ? | 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 = 12.0
n1 = 1218.0
n2 = 11.0
n3 = 9.0
n4 = 2030.0
n5 = 12.0
n6 = 11.0
t0 = n0 * n2
t1 = n3 * t0
t2 = n1 * t0
t3 = n4 * t1
answer = t3 / t2
return answer
|
MathQA/1849 | python | def problem():
"""
32.32 / 2000 is equal to : n0 = 32.32 n1 = 2000.0
"""
| 32.32 / 2000 is equal to : | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 0.01616)
def check(x): pass
| problem | n0 = 32.32
n1 = 2000.0
answer = n0 / n1
return answer
|
MathQA/1850 | python | def problem():
"""
george went to a fruit market with certain amount of money . with this money he can buy either 50 oranges or 40 mangoes . he retains 5 % of the money for taxi fare and buys 25 mangoes . how many oranges can he buy ? n0 = 50.0 n1 = 40.0 n2 = 5.0 n3 = 25.0
"""
| george went to a fruit market with certain amount of money . with this money he can buy either 50 oranges or 40 mangoes . he retains 5 % of the money for taxi fare and buys 25 mangoes . how many oranges can he buy ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 22.499999999999996)
def check(x): pass
| problem | n0 = 50.0
n1 = 40.0
n2 = 5.0
n3 = 25.0
t0 = n2 / 100.0
t1 = n3 / n0
t2 = 1.0 - t0
t3 = t2 - t1
answer = n0 * t3
return answer
|
MathQA/1851 | python | def problem():
"""
if 4 spiders make 4 webs in 4 days , then 1 spider will make 1 web in how many days ? n0 = 4.0 n1 = 4.0 n2 = 4.0 n3 = 1.0 n4 = 1.0
"""
| if 4 spiders make 4 webs in 4 days , then 1 spider will make 1 web in how many days ? | 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 = 4.0
n1 = 4.0
n2 = 4.0
n3 = 1.0
n4 = 1.0
answer = n0 * n3
return answer
|
MathQA/1852 | python | def problem():
"""
in an examination , there were 2,000 candidates , out of which 900 candidates were girls and rest were boys . if 36 % of the boys and 32 % of the girls passed , then the total percentage of failed candidates is ? n0 = 2000.0 n1 = 900.0 n2 = 36.0 n3 = 32.0
"""
| in an examination , there were 2,000 candidates , out of which 900 candidates were girls and rest were boys . if 36 % of the boys and 32 % of the girls passed , then the total percentage of failed candidates is ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 65.8)
def check(x): pass
| problem | n0 = 2000.0
n1 = 900.0
n2 = 36.0
n3 = 32.0
t0 = n2 / 100.0
t1 = n3 / 100.0
t2 = 10.0 * 100.0
t3 = t2 * 2.0
t4 = n1 * t1
t5 = t3 - n1
t6 = t0 * t5
t7 = t3 - t6
t8 = t7 - t4
t9 = t8 / t3
answer = t9 * 100.0
return answer
|
MathQA/1853 | python | def problem():
"""
john left home and drove at the rate of 50 mph for 2 hours . he stopped for lunch then drove for another 3 hours at the rate of 55 mph to reach his destination . how many miles did john drive ? n0 = 50.0 n1 = 2.0 n2 = 3.0 n3 = 55.0
"""
| john left home and drove at the rate of 50 mph for 2 hours . he stopped for lunch then drove for another 3 hours at the rate of 55 mph to reach his destination . how many miles did john drive ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 265.0)
def check(x): pass
| problem | n0 = 50.0
n1 = 2.0
n2 = 3.0
n3 = 55.0
t0 = n0 * n1
t1 = n2 * n3
answer = t0 + t1
return answer
|
MathQA/1854 | python | def problem():
"""
a boat having a length 3 m and breadth 2 m is floating on a lake . the boat sinks by 1 cm when a man gets on it . the mass of the man is : n0 = 3.0 n1 = 2.0 n2 = 1.0
"""
| a boat having a length 3 m and breadth 2 m is floating on a lake . the boat sinks by 1 cm when a man gets on it . the mass of the man is : | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 60.0)
def check(x): pass
| problem | n0 = 3.0
n1 = 2.0
n2 = 1.0
t0 = n2 / 100.0
t1 = n0 * n1
t2 = t0 * t1
answer = t2 * 1000.0
return answer
|
MathQA/1855 | python | def problem():
"""
anne earned $ 3 an hour baby - sitting , and $ 4 an hour working in the garden . last week she did baby - sitting for 5 hours and garden work for 3 hours . how much more money does she need to buy a game that costs $ 35 ? n0 = 3.0 n1 = 4.0 n2 = 5.0 n3 = 3.0 n4 = 35.0
"""
| anne earned $ 3 an hour baby - sitting , and $ 4 an hour working in the garden . last week she did baby - sitting for 5 hours and garden work for 3 hours . how much more money does she need to buy a game that costs $ 35 ? | 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 = 3.0
n1 = 4.0
n2 = 5.0
n3 = 3.0
n4 = 35.0
t0 = n0 * n2
t1 = n0 * n1
t2 = t0 + t1
answer = n4 - t2
return answer
|
MathQA/1856 | python | def problem():
"""
if the average ( arithmetic mean ) of a and b is 45 and the average of b and c is 80 , what is the value of c â ˆ ’ a ? n0 = 45.0 n1 = 80.0
"""
| if the average ( arithmetic mean ) of a and b is 45 and the average of b and c is 80 , what is the value of c â ˆ ’ a ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 70.0)
def check(x): pass
| problem | n0 = 45.0
n1 = 80.0
t0 = n1 * 2.0
t1 = n0 * 2.0
answer = t0 - t1
return answer
|
MathQA/1857 | python | def problem():
"""
a envelop weight 8.2 gm , if 800 of these envelop are sent with an advertisement mail . how much wieght ? n0 = 8.2 n1 = 800.0
"""
| a envelop weight 8.2 gm , if 800 of these envelop are sent with an advertisement mail . how much wieght ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 6.559999999999999)
def check(x): pass
| problem | n0 = 8.2
n1 = 800.0
t0 = n0 * n1
answer = t0 / 1000.0
return answer
|
MathQA/1858 | python | def problem():
"""
if a coin is flipped , the probability that the coin will land heads is 1 / 2 . if the coin is flipped 5 times , what is the probability that it will land tails up on the first 4 flips and not on the last flip ? n0 = 1.0 n1 = 2.0 n2 = 5.0 n3 = 4.0
"""
| if a coin is flipped , the probability that the coin will land heads is 1 / 2 . if the coin is flipped 5 times , what is the probability that it will land tails up on the first 4 flips and not on the last flip ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 0.03125)
def check(x): pass
| problem | n0 = 1.0
n1 = 2.0
n2 = 5.0
n3 = 4.0
t0 = n1**min(n2, 5)
answer = 1.0 / t0
return answer
|
MathQA/1859 | python | def problem():
"""
the cross - section of a water channel is a trapezium in shape . if the channel is 14 meters wide at the top and 8 meters wide at the bottom and the area of cross - section is 990 square meters , what is the depth of the channel ( in meters ) ? n0 = 14.0 n1 = 8.0 n2 = 990.0
"""
| the cross - section of a water channel is a trapezium in shape . if the channel is 14 meters wide at the top and 8 meters wide at the bottom and the area of cross - section is 990 square meters , what is the depth of the channel ( in meters ) ? | 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 = 14.0
n1 = 8.0
n2 = 990.0
t0 = n0 + n1
t1 = t0 / 2.0
answer = n2 / t1
return answer
|
MathQA/1860 | python | def problem():
"""
income and expenditure of a person are in the ratio 5 : 4 . if the income of the person is rs . 14000 , then find his savings ? n0 = 5.0 n1 = 4.0 n2 = 14000.0
"""
| income and expenditure of a person are in the ratio 5 : 4 . if the income of the person is rs . 14000 , then find his savings ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 2800.0)
def check(x): pass
| problem | n0 = 5.0
n1 = 4.0
n2 = 14000.0
t0 = n1 / n0
t1 = n2 * t0
answer = n2 - t1
return answer
|
MathQA/1861 | python | def problem():
"""
two employees x and y are paid a total of rs . 750 per week by their employer . if x is paid 120 percent of the sum paid to y , how much is y paid per week ? n0 = 750.0 n1 = 120.0
"""
| two employees x and y are paid a total of rs . 750 per week by their employer . if x is paid 120 percent of the sum paid to y , how much is y paid per week ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 340.90909090909093)
def check(x): pass
| problem | n0 = 750.0
n1 = 120.0
t0 = 1.0 + 4.0
t1 = t0 * 2.0
t2 = t1 + 1.0
t3 = n0 * t1
t4 = t2 * 2.0
answer = t3 / t4
return answer
|
MathQA/1862 | python | def problem():
"""
the difference between compound interest and simple interest on a certain amount of money at 5 % per annum for 2 years is 19 . find the sum : n0 = 5.0 n1 = 2.0 n2 = 19.0
"""
| the difference between compound interest and simple interest on a certain amount of money at 5 % per annum for 2 years is 19 . find the sum : | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 7600.000000000162)
def check(x): pass
| problem | n0 = 5.0
n1 = 2.0
n2 = 19.0
t0 = n0 / 100.0
t1 = t0 + 1.0
t2 = n1 * t0
t3 = t2 + 1.0
t4 = t1**min(n1, 5)
t5 = t4 - t3
answer = n2 / t5
return answer
|
MathQA/1863 | python | def problem():
"""
machine a produces 100 parts twice as fast as machine b does . machine b produces 100 parts in 60 minutes . if each machine produces parts at a constant rate , how many parts does machine a produce in 6 minutes ? n0 = 100.0 n1 = 100.0 n2 = 60.0 n3 = 6.0
"""
| machine a produces 100 parts twice as fast as machine b does . machine b produces 100 parts in 60 minutes . if each machine produces parts at a constant rate , how many parts does machine a produce in 6 minutes ? | 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 = 100.0
n1 = 100.0
n2 = 60.0
n3 = 6.0
t0 = n0 / n2
t1 = t0 * 2.0
answer = n3 * t1
return answer
|
MathQA/1864 | python | def problem():
"""
if n is a prime number greater than 5 , what is the remainder when n ^ 2 is divided by 12 ? n0 = 5.0 n1 = 2.0 n2 = 12.0
"""
| if n is a prime number greater than 5 , what is the remainder when n ^ 2 is divided by 12 ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 1.0)
def check(x): pass
| problem | n0 = 5.0
n1 = 2.0
n2 = 12.0
t0 = n0 + 2.0
t1 = n2 * 4.0
t2 = t0**min(n1, 5)
answer = t2 - t1
return answer
|
MathQA/1865 | python | def problem():
"""
set j consists of 5 consecutive even numbers . if the smallest term in the set is - 2 , what is the range of the positive integers in set j ? n0 = 5.0 n1 = 2.0
"""
| set j consists of 5 consecutive even numbers . if the smallest term in the set is - 2 , what is the range of the positive integers in set j ? | 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 = 5.0
n1 = 2.0
t0 = -n1
t1 = n0 - 1.0
t2 = n1 * t1
t3 = t2 + t0
answer = t3 - n1
return answer
|
MathQA/1866 | python | def problem():
"""
a student chose a number , multiplied it by 2 , then subtracted 180 from the result and got 104 . what was the number he chose ? n0 = 2.0 n1 = 180.0 n2 = 104.0
"""
| a student chose a number , multiplied it by 2 , then subtracted 180 from the result and got 104 . what was the number he chose ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 142.0)
def check(x): pass
| problem | n0 = 2.0
n1 = 180.0
n2 = 104.0
t0 = n1 + n2
answer = t0 / n0
return answer
|
MathQA/1867 | python | def problem():
"""
the pinedale bus line travels at an average speed of 60 km / h , and has stops every 5 minutes along its route . yahya wants to go from his house to the pinedale mall , which is 9 stops away . how far away , in kilometers , is pinedale mall away from yahya ' s house ? n0 = 60.0 n1 = 5.0 n2 = 9.0
"""
| the pinedale bus line travels at an average speed of 60 km / h , and has stops every 5 minutes along its route . yahya wants to go from his house to the pinedale mall , which is 9 stops away . how far away , in kilometers , is pinedale mall away from yahya ' s house ? | 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 = 60.0
n1 = 5.0
n2 = 9.0
t0 = n1 * n2
t1 = t0 / n0
answer = n0 * t1
return answer
|
MathQA/1868 | python | def problem():
"""
in a certain warehouse , 50 percent of the packages weigh less than 75 pounds , and a total of 48 packages weigh less than 25 pounds . if 80 percent of the packages weigh at least 25 pounds , how many of the packages weigh at least 25 pounds but less than 75 pounds ? n0 = 50.0 n1 = 75.0 n2 = 48.0 n3 = 25.0 n4 = 80.0 n5 = 25.0 n6 = 25.0 n7 = 75.0
"""
| in a certain warehouse , 50 percent of the packages weigh less than 75 pounds , and a total of 48 packages weigh less than 25 pounds . if 80 percent of the packages weigh at least 25 pounds , how many of the packages weigh at least 25 pounds but less than 75 pounds ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 72.0)
def check(x): pass
| problem | n0 = 50.0
n1 = 75.0
n2 = 48.0
n3 = 25.0
n4 = 80.0
n5 = 25.0
n6 = 25.0
n7 = 75.0
t0 = 100.0 - n4
t1 = n2 / t0
t2 = t1 * 100.0
t3 = n0 * t2
t4 = t3 / 100.0
answer = t4 - n2
return answer
|
MathQA/1869 | python | def problem():
"""
in one hour , a boat goes 11 km along the stream and 5 km against the stream . the speed of the boat in still water ( in km / hr ) is : n0 = 11.0 n1 = 5.0
"""
| in one hour , a boat goes 11 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(), 8.0)
def check(x): pass
| problem | n0 = 11.0
n1 = 5.0
t0 = n0 + n1
answer = t0 / 2.0
return answer
|
MathQA/1870 | python | def problem():
"""
the ratio of the cost price and the selling price is 4 : 5 . the profit percent is ? n0 = 4.0 n1 = 5.0
"""
| the ratio of the cost price and the selling price is 4 : 5 . the profit percent is ? | 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 = 4.0
n1 = 5.0
t0 = n1 / n0
t1 = t0 - 1.0
answer = t1 * 100.0
return answer
|
MathQA/1871 | python | def problem():
"""
if 45 % of a class averages 100 % on a test , 50 % of the class averages 78 % on the test , and the remainder of the class averages 65 % on the test , what is the overall class average ? ( round final answer to the nearest percent ) . n0 = 45.0 n1 = 100.0 n2 = 50.0 n3 = 78.0 n4 = 65.0
"""
| if 45 % of a class averages 100 % on a test , 50 % of the class averages 78 % on the test , and the remainder of the class averages 65 % on the test , what is the overall class average ? ( round final answer to the nearest percent ) . | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 87.25)
def check(x): pass
| problem | n0 = 45.0
n1 = 100.0
n2 = 50.0
n3 = 78.0
n4 = 65.0
t0 = n0 + n2
t1 = n0 * n1
t2 = n2 * n3
t3 = t1 + t2
t4 = 100.0 - t0
t5 = n4 * t4
t6 = t3 + t5
answer = t6 / 100.0
return answer
|
MathQA/1872 | python | def problem():
"""
of the votes cast on a certain proposal , 62 more were in favor of the proposal than were against it . if the number of votes against the proposal was 40 percent of the total vote , what was the total number of votes cast ? ( each vote cast was either in favor of the proposal or against it . ) n0 = 62.0 n1 = 40.0
"""
| of the votes cast on a certain proposal , 62 more were in favor of the proposal than were against it . if the number of votes against the proposal was 40 percent of the total vote , what was the total number of votes cast ? ( each vote cast was either in favor of the proposal or against it . ) | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 310.00000000000006)
def check(x): pass
| problem | n0 = 62.0
n1 = 40.0
t0 = n1 / 100.0
t1 = 1.0 - t0
t2 = t1 - t0
answer = n0 / t2
return answer
|
MathQA/1873 | python | def problem():
"""
how many of the integers between 20 and 80 are even ? n0 = 20.0 n1 = 80.0
"""
| how many of the integers between 20 and 80 are even ? | 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 = 20.0
n1 = 80.0
t0 = n1 - n0
answer = t0 / 2.0
return answer
|
MathQA/1874 | python | def problem():
"""
if a and b are positive integers , and a = 5 b + 20 , the greatest common divisor of a and b can not be n0 = 5.0 n1 = 20.0
"""
| if a and b are positive integers , and a = 5 b + 20 , the greatest common divisor of a and b can not be | 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 = 5.0
n1 = 20.0
t0 = n1 / n0
answer = t0 + 2.0
return answer
|
MathQA/1875 | python | def problem():
"""
express 35 mps in kmph ? n0 = 35.0
"""
| express 35 mps in kmph ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 126.00000000000001)
def check(x): pass
| problem | n0 = 35.0
t0 = n0 / 1000.0
answer = t0 * 3600.0
return answer
|
MathQA/1876 | python | def problem():
"""
the area of a square field 3136 sq m , if the length of cost of drawing barbed wire 3 m around the field at the rate of rs . 2.50 per meter . two gates of 1 m width each are to be left for entrance . what is the total cost ? n0 = 3136.0 n1 = 3.0 n2 = 2.5 n3 = 1.0
"""
| the area of a square field 3136 sq m , if the length of cost of drawing barbed wire 3 m around the field at the rate of rs . 2.50 per meter . two gates of 1 m width each are to be left for entrance . what is the total cost ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 1665.0)
def check(x): pass
| problem | import math
n0 = 3136.0
n1 = 3.0
n2 = 2.5
n3 = 1.0
t0 = n3 * 2.0
t1 = math.sqrt(max(0, n0))
t2 = t1 * 4.0
t3 = t2 - t0
t4 = n2 * t3
answer = t4 * n1
return answer
|
MathQA/1877 | python | def problem():
"""
there are 690 male and female participants in a meeting . half the female participants and one - quarter of the male participants are democrats . one - third of all the participants are democrats . how many of the democrats are female ? n0 = 690.0
"""
| there are 690 male and female participants in a meeting . half the female participants and one - quarter of the male participants are democrats . one - third of all the participants are democrats . how many of the democrats are female ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 115.0)
def check(x): pass
| problem | n0 = 690.0
t0 = n0 / 3.0
t1 = t0 * 4.0
t2 = t1 - n0
answer = t2 / 2.0
return answer
|
MathQA/1878 | python | def problem():
"""
find the area of a parallelogram with base 20 cm and height 40 cm ? n0 = 20.0 n1 = 40.0
"""
| find the area of a parallelogram with base 20 cm and height 40 cm ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 800.0)
def check(x): pass
| problem | n0 = 20.0
n1 = 40.0
answer = n0 * n1
return answer
|
MathQA/1879 | python | def problem():
"""
a can do a piece of work in 6 hours ; b and c together can do it in 4 hours , which a and c together can do it in 3 hours . how long will b alone take to do it ? n0 = 6.0 n1 = 4.0 n2 = 3.0
"""
| a can do a piece of work in 6 hours ; b and c together can do it in 4 hours , which a and c together can do it in 3 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(), 11.999999999999998)
def check(x): pass
| problem | n0 = 6.0
n1 = 4.0
n2 = 3.0
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/1880 | python | def problem():
"""
a train 250 m long running at 72 kmph crosses a platform in 30 sec . what is the length of the platform ? n0 = 250.0 n1 = 72.0 n2 = 30.0
"""
| a train 250 m long running at 72 kmph crosses a platform in 30 sec . what is the length of the platform ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 350.048)
def check(x): pass
| problem | n0 = 250.0
n1 = 72.0
n2 = 30.0
t0 = n1 * 0.2778
t1 = n2 * t0
answer = t1 - n0
return answer
|
MathQA/1881 | python | def problem():
"""
4 shepherds were watching over the flocks and they were commenting on how many sheep they each had . if ram had 3 more sheep than he would have one less than rahul . wheras akar has the same number as the other 3 shepherds put togeher . if john had 3 less sheep he would have exactly trile the number of ram . if they were evenly distributed if they would each have 11 seep how many sheep did ram have ? n0 = 4.0 n1 = 3.0 n2 = 3.0 n3 = 3.0 n4 = 11.0
"""
| 4 shepherds were watching over the flocks and they were commenting on how many sheep they each had . if ram had 3 more sheep than he would have one less than rahul . wheras akar has the same number as the other 3 shepherds put togeher . if john had 3 less sheep he would have exactly trile the number of ram . if they were evenly distributed if they would each have 11 seep how many sheep did ram have ? | import math
def compare(x, y):
return math.fabs(x-y)<1e-8
candidate = problem
assert compare(candidate(), 3.0)
def check(x): pass
| problem | n0 = 4.0
n1 = 3.0
n2 = 3.0
n3 = 3.0
n4 = 11.0
t0 = n0 + n1
t1 = n0 + 1.0
t2 = n4 * 2.0
t3 = t2 - t0
answer = t3 / t1
return answer
|
MathQA/1882 | python | def problem():
"""
a shopkeeper sold an article offering a discount of 5 % and earned a profit of 31.1 % . what would have been the percentage of profit earned if no discount had been offered ? n0 = 5.0 n1 = 31.1
"""
| a shopkeeper sold an article offering a discount of 5 % and earned a profit of 31.1 % . what would have been the percentage of profit earned if no discount had been offered ? | 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 = 5.0
n1 = 31.1
t0 = n1 + 100.0
t1 = 100.0 - n0
t2 = t0 * 100.0
t3 = t2 / t1
answer = t3 - 100.0
return answer
|