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cubes with each side one inch long are glued together to form a larger cube . the larger cube ' s face is painted with red color and the entire assembly is taken apart . 22 small cubes are found with no paints on them . how many of unit cubes have at least one face that is painted red ? | n0 = 22.0
t0 = 1.0 + 3.0
t1 = t0 + 1.0
t2 = t1**min(3.0, 5)
answer = t2 - n0
print(answer) | 103 | train | mathqa_geometry.json |
if the sides of a triangle are 30 cm , 28 cm and 10 cm , what is its area ? | n0 = 30.0
n1 = 28.0
n2 = 10.0
t0 = n1 * n2
answer = t0 / 2.0
print(answer) | 140 | train | mathqa_geometry.json |
if the side length of square b is sqrt ( 3 ) times that of square a , the area of square b is how many times the area of square a ? | import math
n0 = 3.0
t0 = math.sqrt(max(0, n0))
answer = t0**min(2.0, 5)
print(answer) | 2.9999999999999996 | train | mathqa_geometry.json |
one side of a rectangular field is 15 m and one of its diagonal is 17 m . find the area of the field . | import math
n0 = 15.0
n1 = 17.0
t0 = n1**min(2.0, 5)
t1 = n0**min(2.0, 5)
t2 = t0 - t1
t3 = math.sqrt(max(0, t2))
answer = n0 * t3 # area of rectangle
print(answer) | 120 | train | mathqa_geometry.json |
if a rectangular billboard has an area of 120 square feet and a perimeter of 46 feet , what is the length of each of the shorter sides ? | import math
n0 = 120.0
n1 = 46.0
t0 = n1 / 2.0
t1 = n0 * 4.0
t2 = t0**min(2.0, 5)
t3 = t2 - t1
t4 = math.sqrt(max(0, t3))
t5 = t0 - t4
answer = t5 / 2.0
print(answer) | 8 | train | mathqa_geometry.json |
a park square in shape has a 3 metre wide road inside it running along its sides . the area occupied by the road is 1764 square metres . what is the perimeter along the outer edge of the road ? | n0 = 3.0
n1 = 1764.0
t0 = n0 * 2.0
t1 = t0 * 2.0
t2 = t0**min(2.0, 5)
t3 = n1 + t2
t4 = t3 / t1
answer = t4 * 4.0
print(answer) | 600 | train | mathqa_geometry.json |
the diagonals of a rhombus are 12 cm and 10 cm . find its area ? | n0 = 12.0
n1 = 10.0
answer = n0 * n1 / 2
print(answer) | 60 | train | mathqa_geometry.json |
the radius of a cylinder is 12 m , height 21 m . the lateral surface area of the cylinder is : | import math
n0 = 12.0
n1 = 21.0
t0 = 2 * math.pi * n0
answer = n1 * t0
print(answer) | 1583.3626974092558 | train | mathqa_geometry.json |
a cylinder with base radius of 8 cm and height of 2 cm is melted to form a cone of height 6 cm . the radius of the cone will be : | import math
n0 = 8.0
n1 = 2.0
n2 = 6.0
t0 = math.pi * n0**2 * n1
t1 = t0 * 3.0
t2 = t1 / n2
t3 = t2 / 3.141592653589793
answer = math.sqrt(max(0, t3))
print(answer) | 8 | train | mathqa_geometry.json |
if the sides of a rectangle are increased by 15 % , what is the percentage increase in the area ? | n0 = 15.0
t0 = n0 / 100.0
t1 = t0 + 1.0
t2 = t1**min(2.0, 5)
t3 = t2 - 1.0
answer = t3 * 100.0
print(answer) | 32.24999999999998 | train | mathqa_geometry.json |
in the xy - plane , a triangle has vertices ( 00 ) , ( 40 ) and ( 410 ) . if a point ( a , b ) is selected at random from the triangular region , what is the probability that a - b > 0 ? | n0 = 0.0
n1 = 0.0
n2 = 4.0
n3 = 0.0
n4 = 4.0
n5 = 10.0
n6 = 0.0
t0 = n0 + 10.0
answer = 4.0 / t0
print(answer) | 0.4 | train | mathqa_geometry.json |
a rectangular floor is covered by a rug except for a strip 4 meters wide along each of the four edge . if the floor is 25 meters by 20 meters , what is the area of the rug in square meters ? | n0 = 4.0
n1 = 25.0
n2 = 20.0
t0 = n0 * 2.0
t1 = n1 - t0
t2 = n2 - t0
answer = t1 * t2 # area of rectangle
print(answer) | 204 | train | mathqa_geometry.json |
the percentage increase in the area of rectangle , if each of its side is increased by 20 % is ? | n0 = 20.0
t0 = n0 + 100.0
t1 = t0 / 100.0
t2 = t1 * t1
t3 = t2 - 1.0
answer = t3 * 100.0
print(answer) | 43.99999999999999 | train | mathqa_geometry.json |
a cube is painted such that one pair of surfaces is painted brown and the other pair of surfaces is painted orange . the cube is cut in to 64 small cubes of equal size . find how many cubes have both the color brown and orange ? | n0 = 64.0
t0 = n0 / 2.0
answer = t0 / 2.0
print(answer) | 16 | train | mathqa_geometry.json |
the length of each side of square a is increased by 100 percent to make square b . if the length of the side of square b is increased by 80 percent to make square c , by what percent is the area of square c greater than the sum of the areas of squares a and b ? | n0 = 100.0
n1 = 80.0
t0 = n0 / n0
t1 = t0 + 1.0
t2 = n1 * t1
t3 = t1**2
t4 = t3 + 1.0
t5 = t2 / n0
t6 = t1 + t5
t7 = t6**2
t8 = t7 - 1.0
t9 = t8 - 4.0
t10 = t9 / t4
answer = n0 * t10
print(answer) | 159.20000000000002 | train | mathqa_geometry.json |
you buy a piece of land with an area of â ˆ š 400 , how long is one side of the land plot ? | import math
n0 = 400.0
answer = math.sqrt(max(0, n0))
print(answer) | 20 | train | mathqa_geometry.json |
the floor of a rectangular room is 19 m long and 12 m wide . the room is surrounded by a veranda of width 2 m on all its sides . the area of the veranda is : | n0 = 19.0
n1 = 12.0
n2 = 2.0
t0 = n2 * n2
t1 = n0 * n1 # area of rectangle
t2 = n0 + t0
t3 = n1 + t0
t4 = t2 * t3 # area of rectangle
answer = t4 - t1
print(answer) | 140 | train | mathqa_geometry.json |
find the area of circle whose diameter is 8 m . | import math
n0 = 8.0
t0 = n0 / 2.0
answer = math.pi * t0**2
print(answer) | 50.26548245743669 | train | mathqa_geometry.json |
right triangle abc is the base of the prism in the figure above . if ab = ac = √ 2 and the height of the prism is 3 , what is the volume of the prism ? | import math
n0 = 2.0
n1 = 3.0
t0 = math.sqrt(max(0, n0))
t1 = n1 * t0 * t0
answer = t1 / 2.0
print(answer) | 3.0000000000000004 | train | mathqa_geometry.json |
what is the area of square field whose side of length 10 m ? | n0 = 10.0
answer = n0**2
print(answer) | 100 | train | mathqa_geometry.json |
the dimensions of a room are 25 feet * 15 feet * 12 feet . what is the cost of white washing the four walls of the room at rs . 6 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each ? | n0 = 25.0
n1 = 15.0
n2 = 12.0
n3 = 6.0
n4 = 6.0
n5 = 3.0
n6 = 4.0
n7 = 3.0
t0 = n0 + n1
t1 = n2 * 2.0
t2 = n4 * n5
t3 = n5 * n6
t4 = t0 * t1
t5 = n5 * t3
t6 = t4 - t2
t7 = t6 - t5
answer = n3 * t7
print(answer) | 5436 | train | mathqa_geometry.json |
a rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn . if the area of the lawn is 2109 sq . m , then what is the width of the road ? | import math
n0 = 60.0
n1 = 40.0
n2 = 2109.0
t0 = n0 + n1
t1 = 1.0 * 4.0
t2 = n0 * n1
t3 = 1.0 * 2.0
t4 = 100.0**min(2.0, 5)
t5 = -t0
t6 = t2 - n2
t7 = t1 * t6
t8 = -t5
t9 = t4 - t7
t10 = math.sqrt(max(0, t9))
t11 = t8 - t10
answer = t11 / t3
print(answer) | 3 | train | mathqa_geometry.json |
the radius of the two circular fields is in the ratio 3 : 10 the area of the first field is what percent less than the area of the second ? | n0 = 3.0
n1 = 10.0
t0 = n1**min(2.0, 5)
t1 = n0**min(2.0, 5)
answer = t0 - t1
print(answer) | 91 | train | mathqa_geometry.json |
if the sides of a triangle are 39 cm , 32 cm and 10 cm , what is its area ? | n0 = 39.0
n1 = 32.0
n2 = 10.0
t0 = n1 * n2
answer = t0 / 2.0
print(answer) | 160 | train | mathqa_geometry.json |
find the area of a parallelogram with base 12 cm and height 10 cm ? | n0 = 12.0
n1 = 10.0
answer = n0 * n1
print(answer) | 120 | train | mathqa_geometry.json |
a rectangular mat has an area of 120 sq . metres and perimeter of 46 m . the length of its diagonal is : | import math
n0 = 120.0
n1 = 46.0
t0 = n1 / 2.0
t1 = n0 * 2.0
t2 = t0**min(2.0, 5)
t3 = t2 - t1
answer = math.sqrt(max(0, t3))
print(answer) | 17 | train | mathqa_geometry.json |
a lady grows cabbage in her garden that is in the shape of a square . each cabbage takes 1 square foot of area in her garden . this year , she has increased her output by 127 cabbages when compared to last year . the shape of the area used for growing the cabbage has remained a square in both these years . how many cabbages did she produce this year ? | n0 = 1.0
n1 = 127.0
t0 = n1 - n0
t1 = t0 / 2.0
t2 = n0 + t1
answer = t2**min(2.0, 5)
print(answer) | 4096 | train | mathqa_geometry.json |
the circumferences of two circles are 528 meters and 704 meters . find the difference between the areas of the larger and the smaller circles ? | import math
n0 = 528.0
n1 = 704.0
t0 = 2.0 * 3.141592653589793
t1 = n1 / t0
t2 = n0 / t0
t3 = math.pi * t1**2
t4 = math.pi * t2**2
answer = t3 - t4
print(answer) | 17254.942310250928 | train | mathqa_geometry.json |
if the volume of two cubes are in the ratio 125 : 1 , the ratio of their edges is : | n0 = 125.0
n1 = 1.0
answer = n0**(1 / 3)
print(answer) | 4.999999999999999 | train | mathqa_geometry.json |
if the sides of a triangle are 28 cm , 26 cm and 12 cm , what is its area ? | n0 = 28.0
n1 = 26.0
n2 = 12.0
t0 = n1 * n2
answer = t0 / 2.0
print(answer) | 156 | train | mathqa_geometry.json |
a rectangular tiled patio is composed of 160 square tiles . the rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles . after the change in layout , the patio will still have 160 tiles , and it will still be rectangular . how many rows are in the tile patio before the change in layout ? | import math
n0 = 160.0
n1 = 2.0
n2 = 4.0
n3 = 160.0
t0 = n0 * n1
t1 = -n2
t2 = n2**min(n1, 5)
t3 = n2 * t0
t4 = t3 + t2
t5 = math.sqrt(max(0, t4))
t6 = t1 + t5
t7 = t6 / n1
answer = n0 / t7
print(answer) | 10 | train | mathqa_geometry.json |
what is the radius of the incircle of the triangle whose sides measure 5 , 12 and 13 units ? | n0 = 5.0
n1 = 12.0
n2 = 13.0
t0 = n0 + n1
t1 = n0 * n1
t2 = n2 + t0
answer = t1 / t2
print(answer) | 2 | train | mathqa_geometry.json |
a rectangular wall is covered entirely with two kinds of decorative tiles : regular and jumbo . 1 / 3 of the tiles are jumbo tiles , which have a length three times that of regular tiles and have the same ratio of length to width as the regular tiles . if regular tiles cover 60 square feet of the wall , and no tiles overlap , what is the area of the entire wall ? | n0 = 1.0
n1 = 3.0
n2 = 60.0
t0 = n2 * 3.0
t1 = t0 / 2.0
t2 = n1 * t1
answer = n2 + t2
print(answer) | 330 | train | mathqa_geometry.json |
a volume of 10940 l water is in a container of sphere . how many hemisphere of volume 4 l each will be required to transfer all the water into the small hemispheres ? | n0 = 10940.0
n1 = 4.0
answer = n0 / n1
print(answer) | 2735 | train | mathqa_geometry.json |
the radius of a cone is 10 m , height 21 m . the volume of the cone is : | import math
n0 = 10.0
n1 = 21.0
answer = math.pi * n0**2 * n1 / 3
print(answer) | 2199.114857512855 | train | mathqa_geometry.json |
2.2 cubic dm of lead is to be drawn into a cylindrical wire 0.50 cm diameter . find the length of the wire in meters . | import math
n0 = 2.2
n1 = 0.5
t0 = n1 / 2.0
t1 = n0 * 1000.0
t2 = math.pi * t0**2
t3 = t1 / t2
answer = t3 / 100.0
print(answer) | 112.04507993669432 | train | mathqa_geometry.json |
if the length , breadth and the height of a cuboid are in the ratio 6 : 5 : 4 and if the total surface area is 33300 cm 2 cm 2 , then the length , breadth and height in cms , are respectively . | import math
n0 = 6.0
n1 = 5.0
n2 = 4.0
n3 = 33300.0
n4 = 2.0
n5 = 2.0
t0 = n0 * n1
t1 = n1 * n2
t2 = n0 * n2
t3 = t0 + t1
t4 = t3 + t2
t5 = t4 * 2.0
t6 = n3 / t5
t7 = math.sqrt(max(0, t6))
answer = n0 * t7
print(answer) | 90 | train | mathqa_geometry.json |
the dimensions of a room are 25 feet * 15 feet * 12 feet . what is the cost of white washing the four walls of the room at rs . 3 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each ? | n0 = 25.0
n1 = 15.0
n2 = 12.0
n3 = 3.0
n4 = 6.0
n5 = 3.0
n6 = 4.0
n7 = 3.0
t0 = n0 + n1
t1 = n2 * 2.0
t2 = n4 * n5
t3 = n5 * n6
t4 = t0 * t1
t5 = n5 * t3
t6 = t4 - t2
t7 = t6 - t5
answer = n3 * t7
print(answer) | 2718 | train | mathqa_geometry.json |
a squirrel runs up a cylindrical post , in a perfect spiral path making one circuit for each rise of 4 feet . how many feet does the squirrel travels if the post is 12 feet tall and 3 feet in circumference ? | n0 = 4.0
n1 = 12.0
n2 = 3.0
t0 = n1 / n0
answer = n2 * t0
print(answer) | 9 | train | mathqa_geometry.json |
what is the area of a square field whose diagonal of length 12 m ? | n0 = 12.0
t0 = n0**2
answer = t0 / 2.0
print(answer) | 72 | train | mathqa_geometry.json |
the area of sector of a circle whose radius is 12 metro and whose angle at the center is 54 â ° is ? | n0 = 12.0
n1 = 54.0
t0 = 3.0 + 4.0
t1 = 3600.0 / 10.0
t2 = 10.0 * 2.0
t3 = n0**min(2.0, 5)
t4 = t2 + 2.0
t5 = n1 / t1
t6 = t4 / t0
t7 = t6 * t3
answer = t5 * t7
print(answer) | 67.88571428571429 | train | mathqa_geometry.json |
a rectangular rug with side lengths of 2 feet and 7 feet is placed on a square floor that has an area of 64 square feet . if the surface of the rug does not extend beyond the area of the floor , what fraction of the area of the floor is not covered by the rug ? | n0 = 2.0
n1 = 7.0
n2 = 64.0
t0 = n0 * n1
t1 = n2 - t0
answer = t1 / n2
print(answer) | 0.78125 | train | mathqa_geometry.json |
if y is the smallest positive integer such that 4410 multiplied by y is the square of an integer , then y must be | n0 = 4410.0
t0 = 2.0 + 3.0
answer = t0 * 2.0
print(answer) | 10 | train | mathqa_geometry.json |
the base of pyramid p is an isosceles right triangle whose leg is 3 . if the height of p is 4 , what is the volume of p ? | n0 = 3.0
n1 = 4.0
t0 = n0**min(2.0, 5)
t1 = t0 / 2.0
t2 = n1 * t1
answer = t2 / 3.0
print(answer) | 6 | train | mathqa_geometry.json |
the perimeter of an isosceles right triangle is 8 + 8 sq rt 2 . what is the length of the hypotenuse of the triangle ? | import math
n0 = 8.0
n1 = 8.0
n2 = 2.0
t0 = math.sqrt(max(0, n2))
t1 = n0 * t0
answer = t1 / n2
print(answer) | 5.656854249492381 | train | mathqa_geometry.json |
a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 120 sq . feet , how many feet of fencing will be required ? | n0 = 20.0
n1 = 120.0
t0 = n1 / n0
t1 = t0 * 2.0
answer = n0 + t1
print(answer) | 32 | train | mathqa_geometry.json |
guadalupe owns 2 rectangular tracts of land . one is 300 m by 500 m and the other is 250 m by 630 m . the combined area of these 2 tracts is how many square meters ? | n0 = 2.0
n1 = 300.0
n2 = 500.0
n3 = 250.0
n4 = 630.0
n5 = 2.0
t0 = n1 * n2 # area of rectangle
t1 = n3 * n4 # area of rectangle
answer = t0 + t1
print(answer) | 307500 | train | mathqa_geometry.json |
the parameter of a square is equal to the perimeter of a rectangle of length 22 cm and breadth 20 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . | import math
n0 = 22.0
n1 = 20.0
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
print(answer) | 32.98672286269283 | train | mathqa_geometry.json |
the area of a rectangular field is equal to 300 square meters . its perimeter is equal to 70 meters . find the length and width of this rectangle . | import math
n0 = 300.0
n1 = 70.0
t0 = n1 / 2.0
t1 = n0 * 4.0
t2 = t0**min(2.0, 5)
t3 = t2 - t1
t4 = math.sqrt(max(0, t3))
t5 = t0 - t4
answer = t5 / 2.0
print(answer) | 15 | train | mathqa_geometry.json |
in measuring the sides of a rectangle , one side is taken 8 % in excess , and the other 7 % in deficit . find the error percent in the area calculated from these measurements . | n0 = 8.0
n1 = 7.0
t0 = n0 * n1
t1 = n0 - n1
t2 = t0 / 100.0
answer = t1 - t2
print(answer) | 0.43999999999999995 | train | mathqa_geometry.json |
a metallic sheet is of rectangular shape with dimensions 40 m x 30 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 8 m , the volume of the box ( in m cube ) is : | n0 = 40.0
n1 = 30.0
n2 = 8.0
t0 = n2 * 2.0
t1 = n0 - t0
t2 = n1 - t0
answer = n2 * t1 * t2
print(answer) | 2688 | train | mathqa_geometry.json |
find the area of a parallelogram with base 26 cm and height 14 cm ? | n0 = 26.0
n1 = 14.0
answer = n0 * n1
print(answer) | 364 | train | mathqa_geometry.json |
a cylinder and a cone have the same height and same radius of base . the ratio between the volumes of the cylinder and the cone is : | import math
t0 = math.pi * 1.0**2 * 1.0 / 3
t1 = math.pi * 1.0**2 * 1.0
answer = t1 / t0
print(answer) | 3 | train | mathqa_geometry.json |
what is the ratio between perimeters of two squares one having 5 times the diagonal then the other ? | n0 = 5.0
t0 = n0 / n0
answer = n0 / t0
print(answer) | 5 | train | mathqa_geometry.json |
find the area of a parallelogram with base 48 cm and height 36 cm ? | n0 = 48.0
n1 = 36.0
answer = n0 * n1
print(answer) | 1728 | train | mathqa_geometry.json |
what is the area of square field whose side of length 5 m ? | n0 = 5.0
answer = n0**2
print(answer) | 25 | train | mathqa_geometry.json |
the perimeter of a triangle is 32 cm and the inradius of the triangle is 2.5 cm . what is the area of the triangle | n0 = 32.0
n1 = 2.5
answer = n0 * n1 / 2
print(answer) | 40 | train | mathqa_geometry.json |
the width of a rectangular hall is ½ of its length . if the area of the hall is 800 sq . m , what is the difference between its length and breadth ? | import math
n0 = 800.0
t0 = 1.0 / 2.0
t1 = n0 / t0
t2 = math.sqrt(max(0, t1))
answer = t2 / 2.0
print(answer) | 20 | train | mathqa_geometry.json |
the area of an isosceles trapezoid with sides of length 5 and bases of length 11 and 17 is ? | n0 = 5.0
n1 = 11.0
n2 = 17.0
answer = 4.0 * (n2 + n1) / 2 # quadrilateral area
print(answer) | 56 | train | mathqa_geometry.json |
find the area of a parallelogram with base 36 cm and height 18 cm ? | n0 = 36.0
n1 = 18.0
answer = n0 * n1
print(answer) | 648 | train | mathqa_geometry.json |
a circular wire of radius 42 cm is cut and bent into the form of a rectangle whose sides are in the ratio of 6 : 5 . the smaller side of the rectangle is : | import math
n0 = 42.0
n1 = 6.0
n2 = 5.0
t0 = n1 + n2
t1 = 2 * math.pi * n0
t2 = t0 * 2.0
t3 = t1 / t2
answer = n2 * t3
print(answer) | 59.975859750350594 | train | mathqa_geometry.json |
the side of a rhombus is 22 m and length of one of its diagonals is 16 m . the area of the rhombus is ? | import math
n0 = 22.0
n1 = 16.0
t0 = n0 * 2.0
t1 = n1**min(2.0, 5)
t2 = t0**min(2.0, 5)
t3 = t2 - t1
t4 = math.sqrt(max(0, t3))
t5 = n1 * t4
answer = t5 / 2.0
print(answer) | 327.90242451070714 | train | mathqa_geometry.json |
the side of a square is increased by 15 % then how much % does its area increases ? | n0 = 15.0
t0 = n0 + 100.0
t1 = 100.0**2
t2 = t0**2
t3 = t2 - t1
t4 = t3 * 100.0
answer = t4 / t1
print(answer) | 32.25 | train | mathqa_geometry.json |
if the volume of two cubes are in the ratio 27 : 8 , the ratio of their edges is : | n0 = 27.0
n1 = 8.0
answer = n0**(1 / 3)
print(answer) | 3 | train | mathqa_geometry.json |
a box measuring 30 inches long by 48 inches wide by 12 inches deep is to be filled entirely with identical cubes . no space is to be left unfilled . what is the smallest number of cubes that can accomplish this objective ? | n0 = 30.0
n1 = 48.0
n2 = 12.0
t0 = n2 / 2.0
t1 = n0 * n1
t2 = n2 * t1
t3 = t0**3
answer = t2 / t3
print(answer) | 80 | train | mathqa_geometry.json |
rain is falling at a rate of 10 centimeters per hour all over north carolina . somewhere downtown in north carolina a group of people are waiting for the rain to stop . if the rain filled a round puddle the with a base area of 300 square centimeters and a depth of 30 centimeters , how long did the people wait for the rain to stop ? | n0 = 10.0
n1 = 300.0
n2 = 30.0
answer = n2 / n0
print(answer) | 3 | train | mathqa_geometry.json |
the diagonals of a rhombus are 20 cm and 25 cm . find its area ? | n0 = 20.0
n1 = 25.0
answer = n0 * n1 / 2
print(answer) | 250 | train | mathqa_geometry.json |
a rectangular tank needs to be coated with insulation . the tank has dimensions of 4 feet , 5 feet , and 2 feet . each square foot of insulation costs $ 20 . how much will it cost to cover the surface of the tank with insulation ? | n0 = 4.0
n1 = 5.0
n2 = 2.0
n3 = 20.0
t0 = 2 * (n0 * n1 + n0 * n2 + n1 * n2) # surface of a rectangular prism
answer = n3 * t0
print(answer) | 1520 | train | mathqa_geometry.json |
the dimensions of a room are 25 feet * 15 feet * 12 feet . what is the cost of white washing the four walls of the room at rs . 2 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each ? | n0 = 25.0
n1 = 15.0
n2 = 12.0
n3 = 2.0
n4 = 6.0
n5 = 3.0
n6 = 4.0
n7 = 3.0
t0 = n0 + n1
t1 = n2 * 2.0
t2 = n4 * n5
t3 = n5 * n6
t4 = t0 * t1
t5 = n5 * t3
t6 = t4 - t2
t7 = t6 - t5
answer = n3 * t7
print(answer) | 1812 | train | mathqa_geometry.json |
huey ' s hip pizza sells two sizes of square pizzas : a small pizza that measures 8 inches on a side and costs $ 10 , and a large pizza that measures 12 inches on a side and costs $ 20 . if two friends go to huey ' s with $ 30 apiece , how many more square inches of pizza can they buy if they pool their money than if they each purchase pizza alone ? | n0 = 8.0
n1 = 10.0
n2 = 12.0
n3 = 20.0
n4 = 30.0
t0 = n2**min(2.0, 5)
t1 = n0**min(2.0, 5)
t2 = t1 + t0
t3 = t0 * 3.0
t4 = t2 + t2
answer = t3 - t4
print(answer) | 16 | train | mathqa_geometry.json |
20 business executives and 7 chairmen meet at a conference . if each business executive shakes the hand of every other business executive and every chairman once , and each chairman shakes the hand of each of the business executives but not the other chairmen , how many handshakes would take place ? | n0 = 20.0
n1 = 7.0
t0 = n0 * n1
t1 = n0 - 1.0
t2 = n0 * t1
t3 = t2 / 2.0
answer = t3 + t0
print(answer) | 330 | train | mathqa_geometry.json |
what is the area of square field whose side of length 25 m ? | n0 = 25.0
answer = n0**2
print(answer) | 625 | train | mathqa_geometry.json |
abcd is a square where ab = â ˆ š 4008 . let x be a point on ab and y be a point on cd such that ax = cy . compute the area of trapezoid axyd . | n0 = 4008.0
answer = n0 / 2.0
print(answer) | 2004 | train | mathqa_geometry.json |
what would be the perimeter of the square whose side is equal to the diameter of the circle whose perimeter is 52.5 cm ? | n0 = 52.5
t0 = n0 / 3.141592653589793
answer = 4 * t0
print(answer) | 66.84507609859604 | train | mathqa_geometry.json |
carol and jordan draw rectangles of equal area . if carol ' s rectangle measures 5 inches by 24 inches and jordan ' s rectangle is 8 inches long , how wide is jordan ' s rectangle , in inches ? | n0 = 5.0
n1 = 24.0
n2 = 8.0
t0 = n0 * n1 # area of rectangle
answer = t0 / n2
print(answer) | 15 | train | mathqa_geometry.json |
if the sides of a triangle are 26 cm , 24 cm and 10 cm , what is its area ? | n0 = 26.0
n1 = 24.0
n2 = 10.0
t0 = n1 * n2
answer = t0 / 2.0
print(answer) | 120 | train | mathqa_geometry.json |
the breath of a rectangular landscape is 6 times its length . there is a playground in it whose area is 4200 square mtr & which is 1 / 7 th of the total landscape . what is the breath of the landscape ? | import math
n0 = 6.0
n1 = 4200.0
n2 = 1.0
n3 = 7.0
t0 = n1 * n3
t1 = t0 / n0
t2 = math.sqrt(max(0, t1))
answer = n0 * t2
print(answer) | 420 | train | mathqa_geometry.json |
in a certain circle there are 10 points . what is the number of the triangles connecting 5 points of the 10 points ? | import math
n0 = 10.0
n1 = 5.0
n2 = 10.0
t0 = 10.0 / 2.0
t1 = math.factorial(min(15, int(n0)))
t2 = math.factorial(min(15, int(n1)))
t3 = math.factorial(min(15, int(t0)))
t4 = t3 * t2
answer = t1 / t4
print(answer) | 252 | train | mathqa_geometry.json |
what is the area of a rectangle whose length is twice its width and whose perimeter is equal to that of a square whose area is 1 ? | n0 = 1.0
t0 = n0 * 4.0
t1 = t0 / 2.0
t2 = t1 / 3.0
t3 = t2 * 2.0
answer = t2 * t3 # area of rectangle
print(answer) | 0.8888888888888888 | train | mathqa_geometry.json |
the edge of a cube is 7 a cm . find its surface ? | n0 = 7.0
answer = 6 * n0**2 # surface of a cube
print(answer) | 294 | train | mathqa_geometry.json |
the area of a square field is 400 km 2 . how long will it take for a horse to run around at the speed of 20 km / h ? | import math
n0 = 400.0
n1 = 2.0
n2 = 20.0
t0 = math.sqrt(max(0, n0))
t1 = t0 * 4.0
answer = t1 / n2
print(answer) | 4 | train | mathqa_geometry.json |
huey ' s hip pizza sells two sizes of square pizzas : a small pizza that measures 9 inches on a side and costs $ 10 , and a large pizza that measures 14 inches on a side and costs $ 20 . if two friends go to huey ' s with $ 30 apiece , how many more square inches of pizza can they buy if they pool their money than if they each purchase pizza alone ? | n0 = 9.0
n1 = 10.0
n2 = 14.0
n3 = 20.0
n4 = 30.0
t0 = n2**min(2.0, 5)
t1 = n0**min(2.0, 5)
t2 = t1 + t0
t3 = t0 * 3.0
t4 = t2 + t2
answer = t3 - t4
print(answer) | 34 | train | mathqa_geometry.json |
if f is the smallest positive integer such that 3,150 multiplied by f is the square of an integer , then f must be | n0 = 3150.0
answer = 10.0 + 4.0
print(answer) | 14 | train | mathqa_geometry.json |
the area of a circle of radius 5 is numerically what percent of its circumference ? | import math
n0 = 5.0
t0 = math.pi * n0**2
t1 = 2 * math.pi * n0
t2 = t0 / t1
answer = t2 * 100.0
print(answer) | 250 | train | mathqa_geometry.json |
the length and breadth of a rectangle is increased by 10 % and 25 % respectively . what is the increase in the area ? | n0 = 10.0
n1 = 25.0
t0 = n0 + 100.0
t1 = n1 + 100.0
t2 = 100.0 * 100.0 # area of rectangle
t3 = t0 * t1 # area of rectangle
t4 = t3 - t2
t5 = t4 * 100.0
answer = t5 / t2
print(answer) | 37.5 | train | mathqa_geometry.json |
if the sides of a square are multiplied by sqrt ( 5 ) , the area of the original square is how many times as large as the area of the resultant square ? | n0 = 5.0
answer = 4 * n0
print(answer) | 20 | train | mathqa_geometry.json |
if the length of the sides of two cubes are in the ratio 2 : 1 , what is the ratio of their total surface area ? | n0 = 2.0
n1 = 1.0
answer = n0 * n0
print(answer) | 4 | train | mathqa_geometry.json |
juan and his five friends will sit on six fixed seats around a circular table . if juan must sit on the seat closest to the window and jamal must sit next to juan , in how many can juan and his five friends sit ? | import math
t0 = math.factorial(min(15, int(4.0)))
answer = t0 * 2.0
print(answer) | 48 | train | mathqa_geometry.json |
the weight of a hollow sphere is directly dependent on its surface area . the surface area of a sphere is 4 π · r ^ 2 , where r is the radius of the sphere . if a hollow sphere of radius 0.15 cm made of a certain metal weighs 8 grams , a hollow sphere of radius 0.3 cm made of the same metal would weigh how many q grams ? | n0 = 4.0
n1 = 2.0
n2 = 0.15
n3 = 8.0
n4 = 0.3
answer = n0 * n3
print(answer) | 32 | train | mathqa_geometry.json |
14 business executives and 7 chairmen meet at a conference . if each business executive shakes the hand of every other business executive and every chairman once , and each chairman shakes the hand of each of the business executives but not the other chairmen , how many handshakes would take place ? | n0 = 14.0
n1 = 7.0
t0 = n0 * n1
t1 = n0 - 1.0
t2 = n0 * t1
t3 = t2 / 2.0
answer = t3 + t0
print(answer) | 189 | train | mathqa_geometry.json |
when magnified 1,000 times by an electron microscope , the image of a certain circular piece of tissue has a diameter of 5 centimeter . the actual diameter of the tissue , in centimeters , is | n0 = 1000.0
n1 = 5.0
answer = n1 / n0
print(answer) | 0.005 | train | mathqa_geometry.json |
if the sides of a triangle are 21 cm , 19 cm and 5 cm , what is its area ? | n0 = 21.0
n1 = 19.0
n2 = 5.0
t0 = n1 * n2
answer = t0 / 2.0
print(answer) | 47.5 | train | mathqa_geometry.json |
find the area of a rhombus having each side equal to 13 cm and one of whose diagonal is 24 cm . | import math
n0 = 13.0
n1 = 24.0
t0 = n1 / 2.0
t1 = n0**min(2.0, 5)
t2 = t0**min(2.0, 5)
t3 = t1 - t2
t4 = math.sqrt(max(0, t3))
t5 = t4 * 2.0
answer = n1 * t5 / 2
print(answer) | 120 | train | mathqa_geometry.json |
a rectangular grass field is 75 m * 55 m , it has a path of 2.5 m wide all round it on the outside . find the area of the path and the cost of constructing it at rs . 10 per sq m ? | n0 = 75.0
n1 = 55.0
n2 = 2.5
n3 = 10.0
t0 = n2 * 2.0
t1 = n0 * n1 # area of rectangle
t2 = n0 + t0
t3 = n1 + t0
t4 = t2 * t3 # area of rectangle
t5 = t4 - t1
answer = n3 * t5
print(answer) | 6750 | train | mathqa_geometry.json |
the water level in a rectangular swimming pool measuring 60 feet by 20 feet is to be lowered by 6 inches . how many gallons of water must be removed ? ( 1 cu ft = 7.5 gallons ) | n0 = 60.0
n1 = 20.0
n2 = 6.0
n3 = 1.0
n4 = 7.5
t0 = 10.0 + 2.0
t1 = n2 / t0
t2 = n0 * n1 * t1
answer = n4 * t2
print(answer) | 4500 | train | mathqa_geometry.json |
what will be the cost of building a fence around a square plot with area equal to 289 sq ft , if the price per foot of building the fence is rs . 57 ? | import math
n0 = 289.0
n1 = 57.0
t0 = math.sqrt(max(0, n0))
t1 = 4 * t0
answer = n1 * t1
print(answer) | 3876 | train | mathqa_geometry.json |
if the height of a cone is increased by 160 % then its volume is increased by ? | n0 = 160.0
answer = n0 * 1.0 # area of rectangle
print(answer) | 160 | train | mathqa_geometry.json |
a rectangular lawn of dimensions 80 m * 50 m has two roads each 10 m wide running in the middle of the lawn , one parallel to the length and the other parallel to the breadth . what is the cost of traveling the two roads at rs . 3 per sq m ? | n0 = 80.0
n1 = 50.0
n2 = 10.0
n3 = 3.0
t0 = n0 + n1
t1 = t0 - n2
t2 = n2 * t1
answer = n3 * t2
print(answer) | 3600 | train | mathqa_geometry.json |
carol and jordan draw rectangles of equal area . if carol ' s rectangle measures 15 inches by 20 inches and jordan ' s rectangle is 6 inches long , how wide is jordan ' s rectangle , in inches ? | n0 = 15.0
n1 = 20.0
n2 = 6.0
t0 = n0 * n1 # area of rectangle
answer = t0 / n2
print(answer) | 50 | train | mathqa_geometry.json |
in measuring the sides of a rectangle , one side is taken 14 % in excess and other 5 % in deficit . find the error percentage in the area calculated from these measurements . | n0 = 14.0
n1 = 5.0
t0 = n0 * n1
t1 = n0 - n1
t2 = t0 / 100.0
answer = t1 - t2
print(answer) | 8.3 | train | mathqa_geometry.json |
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