category stringclasses 3
values | subcategory stringclasses 18
values | question stringlengths 4 629 | answer float64 -273,260,096,089 713,712,038B | reasoning stringlengths 9 516 ⌀ | source stringclasses 6
values |
|---|---|---|---|---|---|
Geometry | geometry | the measure of the side of a square is quadrupled . if x represents the perimeter of the original square , what is the value of the new perimeter ? | 4 |
answer = 1.0 * 4.0
print(answer) | MathQA_Geometry |
Geometry | geometry | the length of a rectangle is halved , while its breadth is tripled . wat isthe % change in area ? | 50 | t0 = 1.0 / 2.0
t1 = t0 * 3.0
t2 = t1 - 1.0
t3 = t2 / 1.0
answer = t3 * 100.0
print(answer) | MathQA_Geometry |
Geometry | geometry | the length of a rectangle is two - seventh of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 5929 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 25 units ? | 550 | import math
n0 = 5929.0
n1 = 25.0
t0 = 3.0 + 4.0
t1 = math.sqrt(max(0, n0))
t2 = 2.0 / t0
t3 = t2 * t1
answer = n1 * t3 # area of rectangle
print(answer) | MathQA_Geometry |
Geometry | geometry | a rectangle a has an area of 30 square centimeters . square b has a perimeter of 16 centimeters . if square b is placed within square a and a random point is chosen within square a , what is the probability the point is not within square b ? | 0.466667 | n0 = 30.0
n1 = 16.0
t0 = n1 / 4. # square edge given perimeter
t1 = t0**2
t2 = n0 - t1
answer = t2 / n0
print(answer) | MathQA_Geometry |
Geometry | geometry | if the sides of a triangle are 65 cm , 60 cm and 25 cm , what is its area ? | 750 | n0 = 65.0
n1 = 60.0
n2 = 25.0
t0 = n1 * n2
answer = t0 / 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | three rugs have a combined area of 200 square meters . by overlapping the rugs to cover floor area of 138 square meters , the area that is covered by exactly two layers of rug is 24 square meters . what is the area that is covered with three layers of rug ? | 19 | n0 = 200.0
n1 = 138.0
n2 = 24.0
t0 = n0 - n1
t1 = t0 - n2
answer = t1 / 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | the diagonal of a rhombus are 25 m and 50 m . its area is : | 625 | n0 = 25.0
n1 = 50.0
answer = n0 * n1 / 2
print(answer) | MathQA_Geometry |
Geometry | geometry | in a rectangular coordinate system , what is the area of a rhombus whose vertices have the coordinates ( 0 , 4.5 ) , ( 8 , 0 ) , ( 0 , - 4.5 ) , ( - 8 , 0 ) ? | 72 | n0 = 0.0
n1 = 4.5
n2 = 8.0
n3 = 0.0
n4 = 0.0
n5 = 4.5
n6 = 8.0
n7 = 0.0
t0 = n2 * 2.0
t1 = n1 * 2.0
answer = t0 * t1 / 2
print(answer) | MathQA_Geometry |
Geometry | geometry | the parameter of a square is equal to the perimeter of a rectangle of length 18 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 ) | 25.132741 | import math
n0 = 18.0
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
print(answer) | MathQA_Geometry |
Geometry | geometry | find the area of a parallelogram with base 24 cm and height 16 cm . | 384 | n0 = 24.0
n1 = 16.0
answer = n0 * n1
print(answer) | MathQA_Geometry |
Geometry | geometry | find the area of a parallelogram with base 36 cm and height 18 cm ? | 648 | n0 = 36.0
n1 = 18.0
answer = n0 * n1
print(answer) | MathQA_Geometry |
Geometry | geometry | what is the max number of rectangular boxes , each measuring 5 inches by 2 inches by 7 inches , that can be packed into a rectangular packing box measuring 15 inches by 20 inches by 35 inches , if all boxes are aligned in the same direction ? | 150 | n0 = 5.0
n1 = 2.0
n2 = 7.0
n3 = 15.0
n4 = 20.0
n5 = 35.0
t0 = n3 * n4
t1 = n0 * n1
t2 = n5 * t0
t3 = n2 * t1
answer = t2 / t3
print(answer) | MathQA_Geometry |
Geometry | geometry | how many 1 x 1 x 1 cubes can you fit in a 15 x 16 x 13 box ? | 3,120 | n0 = 1.0
n1 = 1.0
n2 = 1.0
n3 = 15.0
n4 = 16.0
n5 = 13.0
answer = n3 * n4 * n5
print(answer) | MathQA_Geometry |
Geometry | geometry | if a rectangle have length 16 cm and diagonal 20 cm . calculate its area . | 192 | import math
n0 = 16.0
n1 = 20.0
t0 = n1**min(2.0, 5)
t1 = n0**min(2.0, 5)
t2 = t0 - t1
t3 = math.sqrt(max(0, t2))
answer = n0 * t3
print(answer) | MathQA_Geometry |
Geometry | geometry | a metallic sheet is of rectangular shape with dimensions 48 m x 36 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 : | 5,120 | n0 = 48.0
n1 = 36.0
n2 = 8.0
t0 = n2 * 2.0
t1 = n0 - t0
t2 = n1 - t0
answer = n2 * t1 * t2
print(answer) | MathQA_Geometry |
Geometry | geometry | you buy a piece of land with an area of â ˆ š 1600 , how long is one side of the land plot ? | 40 | import math
n0 = 1600.0
answer = math.sqrt(max(0, n0))
print(answer) | MathQA_Geometry |
Geometry | geometry | a cube has a volume of 27 cubic feet . if a similar cube is twice as long , twice as wide , and twice as high , then the volume , in cubic feet of such cube is ? | 216 | n0 = 27.0
t0 = n0**(1 / 3)
t1 = t0 * 2.0
answer = t1**3
print(answer) | MathQA_Geometry |
Geometry | geometry | the area of a parallelogram is 128 sq m and its altitude is twice the corresponding base . then the length of the base is ? | 8 | import math
n0 = 128.0
t0 = n0 / 2.0
answer = math.sqrt(max(0, t0))
print(answer) | MathQA_Geometry |
Geometry | geometry | three table runners have a combined area of 224 square inches . by overlapping the runners to cover 80 % of a table of area 175 square inches , the area that is covered by exactly two layers of runner is 24 square inches . what is the area of the table that is covered with three layers of runner ? | 30 | n0 = 224.0
n1 = 80.0
n2 = 175.0
n3 = 24.0
t0 = n1 / 100.0
t1 = n0 - n3
t2 = n2 * t0
t3 = t1 - t2
answer = t3 / 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | let the sides of a rectangular prism are consecutive multiples of 5 . which among the following could be the base area | 450 | n0 = 5.0
t0 = n0 * 3.0
t1 = t0 * 2.0
answer = t1 * t0
print(answer) | MathQA_Geometry |
Geometry | geometry | find the volume & curved surface area of a cylinder with diameter of base 14 cm and height 60 cm . | 2,638.937829 | import math
n0 = 14.0
n1 = 60.0
t0 = n0 / 2.0
t1 = 2 * math.pi * t0
answer = n1 * t1
print(answer) | MathQA_Geometry |
Geometry | geometry | if the area of a square with sides of length 4 centimeters is equal to the area of a rectangle with a width of 4 centimeters , what is the length of the rectangle , in centimeters ? | 4 | n0 = 4.0
n1 = 4.0
t0 = n0**min(2.0, 5)
answer = t0 / n1
print(answer) | MathQA_Geometry |
Geometry | geometry | 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 . | 8.3 | n0 = 14.0
n1 = 5.0
t0 = n0 * n1
t1 = n0 - n1
t2 = t0 / 100.0
answer = t1 - t2
print(answer) | MathQA_Geometry |
Geometry | geometry | carol and jordan draw rectangles of equal area . if carol ' s rectangle measures 5 inches by 24 inches and jordan ' s rectangle is 3 inches long , how wide is jordan ' s rectangle , in inches ? | 40 | n0 = 5.0
n1 = 24.0
n2 = 3.0
t0 = n0 * n1 # area of rectangle
answer = t0 / n2
print(answer) | MathQA_Geometry |
Geometry | geometry | if the length of an edge of cube p is thrice the length of an edge of cube q , what is the ratio of the volume of cube q to the volume of cube p ? | 0.037037 | t0 = 1 / 3.0
answer = t0**min(3.0, 5)
print(answer) | MathQA_Geometry |
Geometry | geometry | carol and jordan draw rectangles of equal area . if carol ' s rectangle measures 5 inches by 24 inches and jordan ' s rectangle is 2 inches long , how wide is jordan ' s rectangle , in inches ? | 60 | n0 = 5.0
n1 = 24.0
n2 = 2.0
t0 = n0 * n1 # area of rectangle
answer = t0 / n2
print(answer) | MathQA_Geometry |
Geometry | geometry | what is the area of an obtuse angled triangle whose two sides are 8 and 12 and the angle included between the two sides is 150 o ? | 24 | import math
n0 = 8.0
n1 = 12.0
n2 = 150.0
t0 = n0 / 2.0
t1 = math.sqrt(max(0, 3.0))
t2 = t1 / 2.0
t3 = n0 * t2
t4 = n1 + t3
t5 = t0 * t3 / 2
t6 = t4 * t0 / 2
answer = t6 - t5
print(answer) | MathQA_Geometry |
Geometry | geometry | a certain cube floating in a bucket of water has between 75 and 85 percent of its volume below the surface of the water . if between 9 and 16 cubic centimeters of the cube ' s volume is above the surface of the water , then the length of a side of the cube is approximately | 4 | n0 = 75.0
n1 = 85.0
n2 = 9.0
n3 = 16.0
t0 = n3 * 100.0
t1 = 100.0 - n0
t2 = t0 / t1
answer = t2**(1 / 3)
print(answer) | MathQA_Geometry |
Geometry | geometry | rectangular tile each of size 60 cm by 56 cm must be laid horizontally on a rectangular floor of size 560 cm by 240 cm , such that the tiles do not overlap and they are placed with edges jutting against each other on all edges . a tile can be placed in any orientation so long as its edges are parallel to the edges of f... | 40 | n0 = 60.0
n1 = 56.0
n2 = 560.0
n3 = 240.0
t0 = n2 * n3
t1 = n0 * n1
answer = t0 / t1
print(answer) | MathQA_Geometry |
Geometry | geometry | a rectangular carpet has an area of 60 sq . m . if its diagonal and longer side together equal 5 times the shorter side , the length of the carpet is : | 12 | import math
n0 = 60.0
n1 = 5.0
t0 = n0 * 10.0
t1 = n1**min(2.0, 5)
t2 = t1 - 1.0
t3 = t0 / t2
t4 = math.sqrt(max(0, t3))
answer = n0 / t4
print(answer) | MathQA_Geometry |
Geometry | geometry | a semicircle has a radius of 12 . what is the approximate perimeter of the semicircle ? | 61.699112 | import math
n0 = 12.0
t0 = 2 * math.pi * n0
t1 = n0 * 2.0
t2 = t0 / 2.0
answer = t2 + t1
print(answer) | MathQA_Geometry |
Geometry | geometry | a equilateral triangle having one side 5 m . in this triangle there is a square of side 2 m . calculate the percentage of area outside square in that triangle . | 63.049583 | import math
n0 = 5.0
n1 = 2.0
t0 = n0**min(2.0, 5)
t1 = math.sqrt(max(0, 3.0))
t2 = n1**2
t3 = t1 / 4.0
t4 = t3 * t0
t5 = t4 - t2
t6 = t5 / t4
answer = t6 * 100.0
print(answer) | MathQA_Geometry |
Geometry | geometry | a room is a square of side 50 feet . a second room is of area 100 square yards . a third room is of area 200 square feet . which of these can seat maximum people ? ( hint : 1 yard = 3 feet ) | 200 | n0 = 50.0
n1 = 100.0
n2 = 200.0
n3 = 1.0
n4 = 3.0
answer = n1 * 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | carol and jordan draw rectangles of equal area . if carol ' s rectangle measures 5 inches by 24 inches and jordan ' s rectangle is 12 inches long , how wide is jordan ' s rectangle , in inches ? | 10 | n0 = 5.0
n1 = 24.0
n2 = 12.0
t0 = n0 * n1 # area of rectangle
answer = t0 / n2
print(answer) | MathQA_Geometry |
Geometry | geometry | rectangle a has sides a and b , and rectangle b has sides c and d . if a / c = b / d = 4 / 5 , what is the ratio of rectangle a ’ s area to rectangle b ’ s area ? | 0.64 | n0 = 4.0
n1 = 5.0
t0 = n0**min(2.0, 5)
t1 = n1**min(2.0, 5)
answer = t0 / t1
print(answer) | MathQA_Geometry |
Geometry | geometry | a horse is tethered to one corner of a rectangular grassy field 36 m by 20 m with a rope 18 m long . over how much area of the field can it graze ? | 254.469005 | n0 = 36.0
n1 = 20.0
n2 = 18.0
t0 = n2**min(2.0, 5)
t1 = t0 * 3.141592653589793
answer = t1 / 4.0
print(answer) | MathQA_Geometry |
Geometry | geometry | the length of the diagonal of a square is 12 cm . find its area and perimeter . | 33.941125 | import math
n0 = 12.0
t0 = math.sqrt(max(0, 2.0))
t1 = n0 / t0
answer = 4 * t1
print(answer) | MathQA_Geometry |
Geometry | geometry | the perimeter of a triangle is 48 cm and the inradius of the triangle is 2.5 cm . what is the area of the triangle ? | 60 | n0 = 48.0
n1 = 2.5
answer = n0 * n1 / 2
print(answer) | MathQA_Geometry |
Geometry | geometry | a box measuring 24 inches long by 40 inches wide by 16 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 ? | 30 | n0 = 24.0
n1 = 40.0
n2 = 16.0
t0 = n2 / 2.0
t1 = n0 * n1
t2 = n2 * t1
t3 = t0**3
answer = t2 / t3
print(answer) | MathQA_Geometry |
Geometry | geometry | a circular garden is surrounded by a fence of negligible width along the boundary . if the length of the fence is 1 / 8 of th area of the garden . what is the radius of the circular garden ? | 16 | import math
n0 = 1.0
n1 = 8.0
t0 = n1**min(2.0, 5)
t1 = math.sqrt(max(0, t0))
answer = t1 * 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | if the volume of two cubes are in the ratio 125 : 1 , the ratio of their edges is : | 5 | n0 = 125.0
n1 = 1.0
answer = n0**(1 / 3)
print(answer) | MathQA_Geometry |
Geometry | geometry | the area of a rectangular field is equal to 500 square meters . its perimeter is equal to 90 meters . find the width of this rectangle . | 20 | import math
n0 = 500.0
n1 = 90.0
t0 = n1 / 2.0
t1 = n0 * 4.0
t2 = t0 * t0
t3 = t2 - t1
t4 = math.sqrt(max(0, t3))
t5 = t0 - t4
answer = t5 / 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | an 11 - meter long wire is cut into two pieces . if the longer piece is then used to form a perimeter of a square , what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point ? | 0.545455 | import math
n0 = 11.0
n1 = 4.0
t0 = math.sqrt(max(0, n1))
t1 = 4 * t0
t2 = n0 - t1
t3 = t2 / n0
answer = t3 * 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | the supplementary of an angle is thrice its complimentary . find the angle . | 45 | t0 = 100.0 - 10.0
t1 = t0 * 3.0
t2 = t0 * 2.0
t3 = t1 - t2
answer = t3 / 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | if the length of the sides of two cubes are in the ratio 2 : 1 , what is the ratio of their total surface area ? | 4 | n0 = 2.0
n1 = 1.0
answer = n0 * n0
print(answer) | MathQA_Geometry |
Geometry | geometry | 2 corner most boxes of a chess board ( diagonally opposite ) haven been cut out there ' s a rectangular block = 2 sqaures of chess board , how many such blocks can be placed on the chess board ? ” | 30 | n0 = 2.0
n1 = 2.0
t0 = n0 * n0
t1 = t0 * t0
t2 = n0 * t1
answer = t2 - 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | frank the fencemaker needs to fence in a rectangular yard . he fences in the entire yard , except for one full side of the yard , which equals 40 feet . the yard has an area of 200 square feet . how many feet offence does frank use ? | 50 | n0 = 40.0
n1 = 200.0
t0 = n1 / n0
t1 = t0 + t0
answer = n0 + t1
print(answer) | MathQA_Geometry |
Geometry | geometry | the total surface area of a solid hemisphere of diameter 14 cm , is : | 461.81412 | n0 = 14.0
t0 = n0 / 2.0
t1 = 3.0 * 3.141592653589793
t2 = t0**min(2.0, 5)
answer = t1 * t2
print(answer) | MathQA_Geometry |
Geometry | geometry | a cylindrical bucket of height 36 cm and radius 21 cm is filled with sand . the bucket is emptied on the ground and a conical heap of sand is formed , the height of the heap being 12 cm . the radius of the heap at the base is : | 63 | import math
n0 = 36.0
n1 = 21.0
n2 = 12.0
t0 = n1 * n1
t1 = n0 * t0
t2 = t1 / 4.0
answer = math.sqrt(max(0, t2))
print(answer) | MathQA_Geometry |
Geometry | geometry | find the volume and surface area of a cuboid 16 m long , 14 m broad and 7 m high . | 868 | n0 = 16.0
n1 = 14.0
n2 = 7.0
t0 = n0 * n1
t1 = n1 * n2
t2 = n0 * n2
t3 = t0 + t1
t4 = t3 + t2
answer = t4 * 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | a snooker tournament charges $ 40.00 for vip seats and $ 10.00 for general admission ( “ regular ” seats ) . on a certain night , a total of 320 tickets were sold , for a total cost of $ 7,500 . how many fewer tickets were sold that night for vip seats than for general admission seats ? | 148 | n0 = 40.0
n1 = 10.0
n2 = 320.0
n3 = 7500.0
t0 = 3.0 + 4.0
t1 = 2.0 + 3.0
t2 = n1 * n2
t3 = t0 * 1000.0
t4 = t1 * 100.0
t5 = t1 * t1
t6 = t3 + t4
t7 = t6 - t2
t8 = t7 / t5
answer = n2 - t8
print(answer) | MathQA_Geometry |
Geometry | geometry | danny is sitting on a rectangular box . the area of the front face of the box is half the area of the top face , and the area of the top face is 1.5 times the area of the side face . if the volume of the box is 648 , what is the area of the side face of the box ? | 72 | n0 = 1.5
n1 = 648.0
t0 = 1.0 / 3.0
t1 = n1**min(2.0, 5)
t2 = t1 * 3.0
t3 = t2**min(t0, 5)
answer = t3 / n0
print(answer) | MathQA_Geometry |
Geometry | geometry | a metallic sheet is of rectangular shape with dimensions 46 m x 36 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 3 ) is : | 4,800 | n0 = 46.0
n1 = 36.0
n2 = 8.0
n3 = 3.0
t0 = n2 * 2.0
t1 = n0 - t0
t2 = n1 - t0
answer = n2 * t1 * t2
print(answer) | MathQA_Geometry |
Geometry | geometry | the length and breadth of a rectangle is increased by 10 % and 30 % respectively . what is the increase in the area ? | 43 | n0 = 10.0
n1 = 30.0
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) | MathQA_Geometry |
Geometry | geometry | 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 ? | 204 | 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) | MathQA_Geometry |
Geometry | geometry | if the area of a square with sides of length 6 centimeters is equal to the area of a rectangle with a width of 4 centimeters , what is the length of the rectangle , in centimeters ? | 9 | n0 = 6.0
n1 = 4.0
t0 = n0**min(2.0, 5)
answer = t0 / n1
print(answer) | MathQA_Geometry |
Geometry | geometry | 16 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 ? | 232 | n0 = 16.0
n1 = 7.0
t0 = n0 * n1
t1 = n0 - 1.0
t2 = n0 * t1
t3 = t2 / 2.0
answer = t3 + t0
print(answer) | MathQA_Geometry |
Geometry | geometry | if ( 20 ) ² is subtracted from the square of a number , the answer so obtained is 4321 . what is the number ? | 68.709534 | import math
n0 = 20.0
n1 = 4321.0
t0 = 10.0 * 2.0
t1 = t0**min(2.0, 5)
t2 = n1 + t1
answer = math.sqrt(max(0, t2))
print(answer) | MathQA_Geometry |
Geometry | geometry | the parameter of a square is equal to the perimeter of a rectangle of length 36 cm and breadth 20 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 ) ? | 43.982297 | import math
n0 = 36.0
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) | MathQA_Geometry |
Geometry | geometry | danny is sitting on a rectangular box . the area of the front face of the box is half the area of the top face , and the area of the top face is 1.5 times the area of the side face . if the volume of the box is 1536 , what is the area of the side face of the box ? | 128 | n0 = 1.5
n1 = 1536.0
t0 = 1.0 / 3.0
t1 = n1**min(2.0, 5)
t2 = t1 * 3.0
t3 = t2**min(t0, 5)
answer = t3 / n0
print(answer) | MathQA_Geometry |
Geometry | geometry | 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 ? | 50 | n0 = 15.0
n1 = 20.0
n2 = 6.0
t0 = n0 * n1 # area of rectangle
answer = t0 / n2
print(answer) | MathQA_Geometry |
Geometry | geometry | a rectangular tank needs to be coated with insulation . the tank has dimensions of 3 feet , 7 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 ? | 1,640 | n0 = 3.0
n1 = 7.0
n2 = 2.0
n3 = 20.0
t0 = 2 * (n0 * n1 + n0 * n2 + n1 * n2) # surface of a rectangular prism
answer = n3 * t0
print(answer) | MathQA_Geometry |
Geometry | geometry | a snooker tournament charges $ 45.00 for vip seats and $ 20.00 for general admission ( “ regular ” seats ) . on a certain night , a total of 320 tickets were sold , for a total cost of $ 7,500 . how many fewer tickets were sold that night for vip seats than for general admission seats ? | 276 | n0 = 45.0
n1 = 20.0
n2 = 320.0
n3 = 7500.0
t0 = 3.0 + 4.0
t1 = 2.0 + 3.0
t2 = n1 * n2
t3 = t0 * 1000.0
t4 = t1 * 100.0
t5 = t1 * t1
t6 = t3 + t4
t7 = t6 - t2
t8 = t7 / t5
answer = n2 - t8
print(answer) | MathQA_Geometry |
Geometry | geometry | the diagonals of a rhombus are 30 cm and 20 cm . find its area ? | 300 | n0 = 30.0
n1 = 20.0
answer = n0 * n1 / 2
print(answer) | MathQA_Geometry |
Geometry | geometry | if the height of a cone is increased by 120 % then its volume is increased by ? | 120 | n0 = 120.0
answer = n0 * 1.0 # area of rectangle
print(answer) | MathQA_Geometry |
Geometry | geometry | frank the fencemaker needs to fence in a rectangular yard . he fences in the entire yard , except for one full side of the yard , which equals 40 feet . the yard has an area of 240 square feet . how many feet offence does frank use ? | 52 | n0 = 40.0
n1 = 240.0
t0 = n1 / n0
t1 = t0 + t0
answer = n0 + t1
print(answer) | MathQA_Geometry |
Geometry | geometry | the side of a square is increased by 40 % then how much % does its area increases ? | 96 | n0 = 40.0
t0 = n0 + 100.0
t1 = 100.0**2
t2 = t0**2
t3 = t2 - t1
t4 = t3 * 100.0
answer = t4 / t1
print(answer) | MathQA_Geometry |
Geometry | geometry | what is the area of a square field whose diagonal of length 16 m ? | 128 | n0 = 16.0
t0 = n0**2
answer = t0 / 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | a volume of 11248 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 ? | 2,812 | n0 = 11248.0
n1 = 4.0
answer = n0 / n1
print(answer) | MathQA_Geometry |
Geometry | geometry | the length of a rectangle is reduced by 20 % . by what % would the width have to be increased to maintainthe original area ? | 25 | n0 = 20.0
t0 = 100.0 - n0
t1 = t0 / 100.0
t2 = 1.0 - t1
t3 = t2 / t1
answer = t3 * 100.0
print(answer) | MathQA_Geometry |
Geometry | geometry | the radius of a sphere is increased by 50 % . the increase in surface area of the sphere is : | 125 | import math
n0 = 50.0
t0 = n0 / 100.0
t1 = 4 * math.pi * 1.0**2
t2 = t0 + 1.0
t3 = 4 * math.pi * t2**2
t4 = t3 - t1
t5 = t4 / t1
answer = t5 * 100.0
print(answer) | MathQA_Geometry |
Geometry | geometry | the area of a square field is a square feet and the perimeter is p feet . if 6 a = 6 ( 2 p + 9 ) , what is the perimeter of the field , in feet ? ( here a = a ^ 2 ) | 36 | n0 = 6.0
n1 = 6.0
n2 = 2.0
n3 = 9.0
n4 = 2.0
answer = n3 * 4.0
print(answer) | MathQA_Geometry |
Geometry | geometry | the roof of an apartment building is rectangular and its length is 3 times longer than its width . if the area of the roof is 588 feet squared , what is the difference between the length and the width of the roof ? | 28 | import math
n0 = 3.0
n1 = 588.0
t0 = n1 / n0
t1 = math.sqrt(max(0, t0))
t2 = t1 * n0
answer = t2 - t1
print(answer) | MathQA_Geometry |
Geometry | geometry | you buy a piece of land with an area of â ˆ š 625 , how long is one side of the land plot ? | 25 | import math
n0 = 625.0
answer = math.sqrt(max(0, n0))
print(answer) | MathQA_Geometry |
Geometry | geometry | the slant height of a right circular cone is 10 m and its height is 8 m . find the area of its curved surface . | 60 | import math
n0 = 10.0
n1 = 8.0
t0 = n0**min(2.0, 5)
t1 = n1**min(2.0, 5)
t2 = t0 - t1
t3 = math.sqrt(max(0, t2))
answer = n0 * t3
print(answer) | MathQA_Geometry |
Geometry | geometry | a certain rectangular crate measures 20 feet by 20 feet by 20 feet . a cylindrical gas tank is to be made for shipment in the crate and will stand upright when the crate is placed on one of its six faces . what should the radius of the tank be if it is to be of the largest possible volume ? | 10 | import math
n0 = 20.0
n1 = 20.0
n2 = 20.0
t0 = n1 / 2.0
t1 = n0 * 3.141592653589793
t2 = math.pi * t0**2 * n0
t3 = t2 / t1
answer = math.sqrt(max(0, t3))
print(answer) | MathQA_Geometry |
Geometry | geometry | the value of “ a ” varies in inverse proportion as the square of “ b ” . if the value of “ a ” is equal to 40 when “ b ” is equal to 12 . what would be the value of “ a ” when “ b ” is equal to 24 ? | 10 | n0 = 40.0
n1 = 12.0
n2 = 24.0
t0 = n1**min(2.0, 5)
t1 = n2**min(2.0, 5)
t2 = n0 * t0
answer = t2 / t1
print(answer) | MathQA_Geometry |
Geometry | geometry | the perimeter of a triangle is 36 cm and the in radius of the triangle is 2.5 cm . what is the area of the triangle ? | 45 | n0 = 36.0
n1 = 2.5
answer = n0 * n1 / 2
print(answer) | MathQA_Geometry |
Geometry | geometry | the volume of a cube is 1331 cc . find its surface . | 726 | n0 = 1331.0
t0 = n0**(1 / 3)
answer = 6 * t0**2 # surface of a cube
print(answer) | MathQA_Geometry |
Geometry | geometry | what is the area of a triangle with the following vertices l ( 2 , 3 ) , m ( 5 , 1 ) , and n ( 3 , 5 ) ? | 4 | import math
n0 = 2.0
n1 = 3.0
n2 = 5.0
n3 = 1.0
n4 = 3.0
n5 = 5.0
t0 = n2 - n0
t1 = n3 - n1
t2 = n0 - n1
t3 = n1 - n2
t4 = n3 - n2
t5 = t0**min(2.0, 5)
t6 = t1**min(2.0, 5)
t7 = t2**min(2.0, 5)
t8 = t3**min(2.0, 5)
t9 = t4**min(2.0, 5)
t10 = t5 + t6
t11 = t7 + t8
t12 = t9 + t8
t13 = math.sqrt(max(0, t10))
t14 = math.sq... | MathQA_Geometry |
Geometry | geometry | the length of a rectangle is reduced by 22 % . by what % would the width have to be increased to maintain the original area ? | 28.205128 | n0 = 22.0
t0 = 100.0 - n0
t1 = t0 / 100.0
t2 = 1.0 - t1
t3 = t2 / t1
answer = t3 * 100.0
print(answer) | MathQA_Geometry |
Geometry | geometry | the circumferences of two circles are 264 meters and 352 meters . find the difference between the areas of the larger and the smaller circles ? | 4,313.735578 | import math
n0 = 264.0
n1 = 352.0
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) | MathQA_Geometry |
Geometry | geometry | the length of a rectangle is increased by 25 % and its breadth is decreased by 20 % . what is the effect on its area ? | 10,000 | n0 = 25.0
n1 = 20.0
t0 = n0 + 100.0
t1 = 100.0 - n1
answer = t0 * t1
print(answer) | MathQA_Geometry |
Geometry | geometry | an equilateral triangle t 2 is formed by joining the mid points of the sides of another equilateral triangle t 1 . a third equilateral triangle t 3 is formed by joining the mid - points of t 2 and this process is continued indefinitely . if each side of t 1 is 40 cm , find the sum of the perimeters of all the triangles... | 240 | n0 = 2.0
n1 = 1.0
n2 = 3.0
n3 = 2.0
n4 = 1.0
n5 = 40.0
t0 = n5 + n5 + n5 # perimeter of a triangle
answer = t0 + t0
print(answer) | MathQA_Geometry |
Geometry | geometry | if the area of a square with sides of length 3 centimeters is equal to the area of a rectangle with a width of 3 centimeters , what is the length of the rectangle , in centimeters ? | 3 | n0 = 3.0
n1 = 3.0
t0 = n0**min(2.0, 5)
answer = t0 / n1
print(answer) | MathQA_Geometry |
Geometry | geometry | the base of a triangle is 15 cm and height is 12 cm . the height of another triangle of double the area having the base 20 cm is : | 18 | n0 = 15.0
n1 = 12.0
n2 = 20.0
t0 = n0 * n1 / 2
t1 = t0 * 2.0
t2 = t1 * 2.0
answer = t2 / n2
print(answer) | MathQA_Geometry |
Geometry | geometry | find the area of a parallelogram with base 32 cm and height 14 cm ? | 448 | n0 = 32.0
n1 = 14.0
answer = n0 * n1
print(answer) | MathQA_Geometry |
Geometry | geometry | a rectangular cube has sides measuring 3 inches long by 2 inches wide by 0.5 inches high . if the surface area of the rectangle is the same as a cube , what do the sides / walls of the cube measure ? round to the nearest whole number . | 2 | import math
n0 = 3.0
n1 = 2.0
n2 = 0.5
t0 = 2.0 * 3.0
t1 = 2 * (n0 * n1 + n0 * n2 + n1 * n2) # surface of a rectangular prism
t2 = t1 / t0
answer = math.floor(t2)
print(answer) | MathQA_Geometry |
Geometry | geometry | a cube of edge 16 cm is immersed completely in a rectangular vessel containing water . if the dimensions of the base of vessel are 20 cm * 15 cm , find the rise in water level ? | 13.653333 | n0 = 16.0
n1 = 20.0
n2 = 15.0
t0 = n1 * n2
t1 = n0**3
answer = t1 / t0
print(answer) | MathQA_Geometry |
Geometry | geometry | the radius of a sphere is increased by 10 % . the surface area increases by ? | 21 | import math
n0 = 10.0
t0 = n0 / 100.0
t1 = 4 * math.pi * 1.0**2
t2 = t0 + 1.0
t3 = 4 * math.pi * t2**2
t4 = t3 - t1
t5 = t4 / t1
answer = t5 * 100.0
print(answer) | MathQA_Geometry |
Geometry | geometry | the side of a rhombus is 24 m and length of one of its diagonals is 18 m . the area of the rhombus is ? | 400.474718 | import math
n0 = 24.0
n1 = 18.0
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) | MathQA_Geometry |
Geometry | geometry | if a is the smallest positive integer such that 5880 multiplied by a is the square of an integer , then ya must be | 30 | n0 = 5880.0
t0 = 3.0 + 4.0
t1 = 2.0**min(2.0, 5)
t2 = t0**min(2.0, 5)
t3 = t2 * t1
answer = n0 / t3
print(answer) | MathQA_Geometry |
Geometry | geometry | the surface of a cube is 384 sq cm . find its volume ? | 512 | import math
n0 = 384.0
t0 = 2.0 + 4.0
t1 = n0 / t0
t2 = math.sqrt(max(0, t1))
answer = t2**3
print(answer) | MathQA_Geometry |
Geometry | geometry | if the length of the longest chord of a certain circle is 22 , what is the radius of that certain circle ? | 11 | n0 = 22.0
answer = n0 / 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | if each side of a rectangle is increased by 100 % , by what % the area increases ? | 300 | n0 = 100.0
t0 = n0 / 100.0
t1 = t0 * 2.0
t2 = t1**min(2.0, 5)
t3 = t2 - 1.0
answer = t3 * 100.0
print(answer) | MathQA_Geometry |
Geometry | geometry | a rectangular swimming pool is 10 feet by 12 feet . a deck that has uniform width surrounds the pool . the total area of the pool and deck is 360 square feet . what is the width of the deck ? | 4 | import math
n0 = 10.0
n1 = 12.0
n2 = 360.0
t0 = n0 * n1 # area of rectangle
t1 = n1 - 1.0
t2 = t1**min(2.0, 5)
t3 = n2 - t0
t4 = t2 + t3
t5 = math.sqrt(max(0, t4))
t6 = t5 - t1
answer = t6 / 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | find the area of a parallelogram with base 20 cm and height 10 cm ? | 200 | n0 = 20.0
n1 = 10.0
answer = n0 * n1
print(answer) | MathQA_Geometry |
Geometry | geometry | what is the perimeter , in meters , of a rectangular garden 4 meters wide that has the same area as a rectangular playground 16 meters long and 12 meters wide ? | 104 | n0 = 4.0
n1 = 16.0
n2 = 12.0
t0 = n1 * n2 # area of rectangle
t1 = t0 / 4.0
answer = 2 * (n0 + t1) # perimetere of rectangle
print(answer) | MathQA_Geometry |
Geometry | geometry | a cube is painted red on all faces . it is then cut into 27 equal smaller cubes . how many p cubes are painted on only 2 faces ? | 12 | n0 = 27.0
n1 = 2.0
t0 = 1.0 / 3.0
t1 = n0**min(t0, 5)
answer = t1 * 4.0
print(answer) | MathQA_Geometry |
Geometry | geometry | the roof of an apartment building is rectangular and its length is 4 times longer than its width . if the area of the roof is 676 feet squared , what is the difference between the length and the width of the roof ? | 39 | import math
n0 = 4.0
n1 = 676.0
t0 = n1 / n0
t1 = math.sqrt(max(0, t0))
t2 = t1 * n0
answer = t2 - t1
print(answer) | MathQA_Geometry |
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