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 | a piece of paper is in the shape of a right angled triangle and is cut along a line that is parallel to the hypotenuse , leaving a smaller triangle . there was a 35 % reduction in the length of the hypotenuse of the triangle . if the area of the original triangle was 34 square inches before the cut , what is the area (... | 14.365 | n0 = 35.0
n1 = 34.0
t0 = n0 / 100.0
t1 = 1.0 - t0
t2 = t1**min(2.0, 5)
answer = n1 * t2
print(answer) | MathQA_Geometry |
Geometry | geometry | the length of a rectangle is increased by 20 % and its breadth is decreased by 20 % . what is the effect on its area ? | 9,600 | n0 = 20.0
n1 = 20.0
t0 = n0 + 100.0
t1 = 100.0 - n1
answer = t0 * t1
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 h 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 | in a certain parallelogram the degree measure of one angle exceeds that of the other by 10 what is the degree measure of the smaller angle ? | 85 | n0 = 10.0
t0 = 3600.0 / 10.0
t1 = n0 * 2.0
t2 = t0 - t1
answer = t2 / 4.0
print(answer) | MathQA_Geometry |
Geometry | geometry | a cubical block of metal weighs 8 pounds . how much will another cube of the same metal weigh if its sides are twice as long ? | 64 | n0 = 8.0
t0 = 2.0 * 4.0
answer = n0 * t0
print(answer) | MathQA_Geometry |
Geometry | geometry | the length of a rectangular plot is thrice its breadth . if the area of the rectangular plot is 507 sq m , then what is the breadth of the rectangular plot ? | 13 | import math
n0 = 507.0
t0 = n0 / 3.0
answer = math.sqrt(max(0, t0))
print(answer) | MathQA_Geometry |
Geometry | geometry | the cost of the paint is rs . 36.50 per kg . if 1 kg of paint covers 16 square feet , how much will it cost to paint outside of a cube having 8 feet each side . | 876 | n0 = 36.5
n1 = 1.0
n2 = 16.0
n3 = 8.0
t0 = 6 * n3**2 # surface of a cube
t1 = t0 / n2
answer = n0 * t1
print(answer) | MathQA_Geometry |
Geometry | geometry | three walls have wallpaper covering a combined area of 300 square meters . by overlapping the wallpaper to cover a wall with an area of 180 square meters , the area that is covered by exactly two layers of wallpaper is 30 square meters . what is the area that is covered with three layers of wallpaper ? | 45 | n0 = 300.0
n1 = 180.0
n2 = 30.0
t0 = n0 - n1
t1 = t0 - n2
answer = t1 / 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | if the difference between the length and breadth of a rectangle is 23 m and its perimeter is 246 m , what is its area ? | 3,650 | n0 = 23.0
n1 = 246.0
t0 = n0 * 2.0
t1 = n1 - t0
t2 = t1 / 4.0
t3 = n0 + t2
answer = t3 * t2 # area of rectangle
print(answer) | MathQA_Geometry |
Geometry | geometry | a rectangular farm has to be fenced one long side , one short side and the diagonal . if the cost of fencing is rs . 12 per meter . the area of farm is 1200 m 2 and the short side is 30 m long . how much would the job cost ? | 1,440 | import math
n0 = 12.0
n1 = 1200.0
n2 = 2.0
n3 = 30.0
t0 = n1 / n3
t1 = n3**min(n2, 5)
t2 = n3 + t0
t3 = t0**min(n2, 5)
t4 = t1 + t3
t5 = math.sqrt(max(0, t4))
t6 = t2 + t5
answer = n0 * t6
print(answer) | MathQA_Geometry |
Geometry | geometry | a certain rectangular crate measures 12 feet by 16 feet by 18 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 ? | 8 | import math
n0 = 12.0
n1 = 16.0
n2 = 18.0
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 length and breadth of a rectangle is increased by 3 % and 6 % respectively . what is the increase in the area ? | 9.18 | n0 = 3.0
n1 = 6.0
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 | the surface area of a sphere is 4 π r 2 , where r is the radius of the sphere . if the area of the base of a hemisphere is 3 , what is the surface area r of that hemisphere ? | 9 | n0 = 4.0
n1 = 2.0
n2 = 3.0
t0 = n2 / 3.141592653589793
t1 = n0 * 3.141592653589793
t2 = t0 * t1
t3 = t0 * 3.141592653589793
t4 = t2 / n1
answer = t4 + t3
print(answer) | MathQA_Geometry |
Geometry | geometry | an isosceles triangle those sides are 13 cm , 13 cm , 10 cm long inscribed in a circle . find the radius of the circle | 8.041667 | import math
n0 = 13.0
n1 = 13.0
n2 = 10.0
t0 = n2 / 2.0
t1 = n0**min(2.0, 5)
t2 = t0**min(2.0, 5)
t3 = t1 - t2
t4 = t2 + t3
t5 = math.sqrt(max(0, t3))
t6 = t5 * 2.0
t7 = t4 / t6
answer = t7 + 1.0
print(answer) | MathQA_Geometry |
Geometry | geometry | the minimum number of tiles of size 16 by 24 required to form a square by placing them adjacent to one another is | 6 | n0 = 16.0
n1 = 24.0
answer = n1 / 4.0
print(answer) | MathQA_Geometry |
Geometry | geometry | the length of a rectangle is reduced by 30 % . by what % would the width have to be increased to maintain the original area ? | 42.857143 | n0 = 30.0
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 length of a rectangle hall is 5 m more than its breadth . the area of the hall is 750 m 2 . the length of the hall is : | 30 | n0 = 5.0
n1 = 750.0
n2 = 2.0
t0 = n1 / n0
answer = t0 / n0
print(answer) | MathQA_Geometry |
Geometry | geometry | 50 square stone slabs of equal size were needed to cover a floor area of 72 sq . m . find the length of each stone slab ? | 120 | import math
n0 = 50.0
n1 = 72.0
t0 = n1 / n0
t1 = math.sqrt(max(0, t0))
answer = t1 * 100.0
print(answer) | MathQA_Geometry |
Geometry | geometry | a circle graph shows how the budget of a certain company was spent : 55 percent for salaries , 9 percent for research and development , 5 percent for utilities , 4 percent for equipment , 2 percent for supplies , and the remainder for transportation . if the area of each sector of the graph is proportional to the perce... | 90 | n0 = 55.0
n1 = 9.0
n2 = 5.0
n3 = 4.0
n4 = 2.0
t0 = n0 + n1
t1 = n2 + t0
t2 = n3 + t1
t3 = n4 + t2
t4 = 100.0 - t3
t5 = t4 * 360.0
answer = t5 / 100.0
print(answer) | MathQA_Geometry |
Geometry | geometry | a rectangular paper , when folded into two congruent parts had a perimeter of 34 cm for each part folded along one set of sides and the same is 38 cm when folded along the other set of sides . what is the area of the paper ? | 140 | n0 = 34.0
n1 = 38.0
t0 = n1 * 2.0
t1 = t0 - n0
t2 = t1 / 3.0
t3 = t2 * 2.0
t4 = n1 - t3
answer = t2 * t4
print(answer) | MathQA_Geometry |
Geometry | geometry | a circular grass lawn of 35 metres in radius has a path 7 metres wide running around it on the outside . find the area of path . | 1,693.31844 | import math
n0 = 35.0
n1 = 7.0
t0 = n0 + n1
t1 = math.pi * n0**2
t2 = math.pi * t0**2
answer = t2 - t1
print(answer) | MathQA_Geometry |
Geometry | geometry | 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 | 40 | n0 = 32.0
n1 = 2.5
answer = n0 * n1 / 2
print(answer) | MathQA_Geometry |
Geometry | geometry | how many diagonals does a polygon with 19 sides have , if one of its vertices does not connect to any diagonal ? | 135 | n0 = 19.0
t0 = n0 - 1.0
t1 = t0 - 3.0
t2 = t0 * t1
answer = t2 / 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | the size of a television screen is given as the length of the screen ' s diagonal . if the screens were flat , then the area of a square 19 - inch screen would be how many square inches greater than the area of a square 17 - inch screen ? | 36 | n0 = 19.0
n1 = 17.0
t0 = n0**min(2.0, 5)
t1 = n1**min(2.0, 5)
t2 = t0 - t1
answer = t2 / 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | a circular well with a diameter of 2 metres , is dug to a depth of 10 metres . what is the volume of the earth dug out ? | 31.415927 | import math
n0 = 2.0
n1 = 10.0
t0 = n0 / n0
answer = math.pi * t0**2 * n1
print(answer) | MathQA_Geometry |
Geometry | geometry | the side of a square is increased by 20 % then how much % does its area increases ? | 44 | n0 = 20.0
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 | 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 ? | 40 | n0 = 32.0
n1 = 2.5
answer = n0 * n1 / 2
print(answer) | MathQA_Geometry |
Geometry | geometry | paper charge is rs . 60 per kg . how much expenditure would be there to cover a cube of edge 10 m with a paper , if one kg of paper covers 20 sq . m . area ? | 1,800 | n0 = 60.0
n1 = 10.0
n2 = 20.0
t0 = n0 / n1
t1 = n1 * n1
t2 = t0 * t1
t3 = t2 / n2
answer = n0 * t3
print(answer) | MathQA_Geometry |
Geometry | geometry | 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 ? | 20 | 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) | MathQA_Geometry |
Geometry | geometry | the length of a rectangular plot is thrice its breadth . if the area of the rectangular plot is 867 sq m , then what is the breadth of the rectangular plot ? | 17 | import math
n0 = 867.0
t0 = n0 / 3.0
answer = math.sqrt(max(0, t0))
print(answer) | MathQA_Geometry |
Geometry | geometry | a right triangle is inscribed in a circle . the legs of the triangle have lengths 6 and 8 . what is the diameter of the circle ? | 10 | import math
n0 = 6.0
n1 = 8.0
t0 = n0**min(2.0, 5)
t1 = n1**min(2.0, 5)
t2 = t0 + t1
answer = math.sqrt(max(0, t2))
print(answer) | MathQA_Geometry |
Geometry | geometry | what is the total surface area in square meters of a rectangular solid whose length is 9 meters , width is 8 meters , and depth is 5 meters ? | 314 | n0 = 9.0
n1 = 8.0
n2 = 5.0
answer = 2 * (n0 * n1 + n0 * n2 + n1 * n2) # surface of a rectangular prism
print(answer) | MathQA_Geometry |
Geometry | geometry | how much greater is the combined area in square inches of the front and back of a rectangular sheet of paper measuring 11 inches by 9 inches than that of a rectangular sheet of paper measuring 4.5 inches by 11 inches ? | 100 | n0 = 11.0
n1 = 9.0
n2 = 4.5
n3 = 11.0
t0 = n0 * n1 # area of rectangle
t1 = n0 * n2 # area of rectangle
t2 = t0 * 2.0
t3 = t1 * 2.0
t4 = t2 - t3
t5 = t4 / t0
answer = t5 * 100.0
print(answer) | MathQA_Geometry |
Geometry | geometry | if the sides of a triangle are 31 cm , 29 cm and 15 cm , what is its area ? | 217.5 | n0 = 31.0
n1 = 29.0
n2 = 15.0
t0 = n1 * n2
answer = t0 / 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | the area of a rectangular field is equal to 200 square meters . its perimeter is equal to 60 meters . find the width of this rectangle . | 10 | import math
n0 = 200.0
n1 = 60.0
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 | a hall is 15 m long and 12 m broad . if the sum of the areas of the floor and the ceiling is equal to the sum of areas of the four walls , the volume of hall is ? | 1,200 | n0 = 15.0
n1 = 12.0
t0 = n1 * 2.0
t1 = n0 * 2.0
t2 = n0 * n1 # area of rectangle
t3 = t0 + t1
t4 = t2 * 2.0
t5 = t4 / t3
answer = n0 * n1 * t5
print(answer) | MathQA_Geometry |
Geometry | geometry | the diagonal of a rhombus are 80 m and 120 m . its area is : | 4,800 | n0 = 80.0
n1 = 120.0
answer = n0 * n1 / 2
print(answer) | MathQA_Geometry |
Geometry | geometry | the length of a rectangle is two third of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 4761 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 13 units ? | 598 | import math
n0 = 4761.0
n1 = 13.0
t0 = math.sqrt(max(0, n0))
t1 = t0 * 2.0
t2 = t1 / 3.0
answer = n1 * t2 # area of rectangle
print(answer) | MathQA_Geometry |
Geometry | geometry | the perimeter of an isosceles right triangle is 12 + 12 sq rt 2 . what is the length of the hypotenuse of the triangle ? | 8.485281 | import math
n0 = 12.0
n1 = 12.0
n2 = 2.0
t0 = math.sqrt(max(0, n2))
t1 = n0 * t0
answer = t1 / 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | what will be the ratio between the area of a rectangle and the area of a triangle with one of the sides of the rectangle as base and a vertex on the opposite side of the rectangle ? | 2 | t0 = 1.0 * 1.0 # area of rectangle
t1 = t0 * t0 / 2
answer = t0 / t1
print(answer) | MathQA_Geometry |
Geometry | geometry | the length and breadth of a rectangle is increased by 11 % and 22 % respectively . what is the increase in the area ? | 35.42 | n0 = 11.0
n1 = 22.0
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 | which is the smallest no which divides 2880 and gives a perfect square ? | 5 | n0 = 2880.0
t0 = n0 / 4.0
t1 = t0 / 3.0
t2 = t1 / 4.0
t3 = t2 / 3.0
t4 = t3 / 2.0
answer = t4 / 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | what is the area of a circle having the same perimeter as that of a square whose area is 121 . | 308.12397 | import math
n0 = 121.0
t0 = math.sqrt(max(0, n0))
t1 = t0 * 4.0
t2 = t1 / 3.141592653589793
t3 = t2 / 2.0
t4 = t3 * t3
t5 = t4 * 3.141592653589793
answer = t5 * 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | a crate measures 7 feet by 8 feet by 12 feet on the inside . a stone pillar in the shape of a right circular cylinder must fit into the crate for shipping so that it rests upright when the crate sits on at least one of its six sides . what is the radius , in feet , of the pillar with the largest volume that could still... | 7 | n0 = 7.0
n1 = 8.0
n2 = 12.0
t0 = n1 * n2
t1 = n0 * t0
t2 = t1 / n2
answer = t2 / n1
print(answer) | MathQA_Geometry |
Geometry | geometry | in a company of 148 employees , 92 are females . a total of 78 employees have advanced degrees and the rest have a college degree only . if 31 employees are males with college degree only , how many employees are females with advanced degrees ? | 53 | n0 = 148.0
n1 = 92.0
n2 = 78.0
n3 = 31.0
t0 = n0 - n1
t1 = t0 - n3
answer = n2 - t1
print(answer) | MathQA_Geometry |
Geometry | geometry | a cubical block of metal weighs 6 pounds . how much will another cube of the same metal weigh if its sides are twice as long ? | 48 | n0 = 6.0
t0 = 2.0 * 4.0
answer = n0 * t0
print(answer) | MathQA_Geometry |
Geometry | geometry | the size of a television screen is given as the length of the screen ' s diagonal . if the screens were flat , then the area of a square 22 - inch screen would be how many square inches greater than the area of a square 20 - inch screen ? | 42 | n0 = 22.0
n1 = 20.0
t0 = n0**min(2.0, 5)
t1 = n1**min(2.0, 5)
t2 = t0 - t1
answer = t2 / 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | six dots are evenly spaced on the circumference of a circle . how many combinations of three dots can we make from these 6 dots that do not form an equilateral triangle ? | 18 | import math
n0 = 6.0
t0 = math.factorial(min(15, int(n0)))
t1 = math.factorial(min(15, int(3.0)))
t2 = t1 * t1
t3 = t0 / t2
answer = t3 - 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | the perimeter of a rectangle is equal to 280 meters . the ratio of its length to its width is 5 : 2 . find the area of the rectangle . | 4,000 | n0 = 280.0
n1 = 5.0
n2 = 2.0
t0 = n1 + n2
t1 = t0 * 2.0
t2 = n0 / t1
t3 = t2**min(2.0, 5)
t4 = n1 * t3
answer = n2 * t4
print(answer) | MathQA_Geometry |
Geometry | geometry | what is the area of square field whose side of length 13 m ? | 169 | n0 = 13.0
answer = n0**2
print(answer) | MathQA_Geometry |
Geometry | geometry | a gardener grows cabbages in her garden that is in the shape of a square . each cabbage takes 1 square feet of area in her garden . this year , she has increased her output by 193 cabbages as compared to last year . the shape of the area used for growing the cabbages has remained a square in both these years . how many... | 9,409 | n0 = 1.0
n1 = 193.0
t0 = 0.25 + 0.25
t1 = n1 / 2.0
t2 = t0 + t1
answer = t2**min(2.0, 5)
print(answer) | MathQA_Geometry |
Geometry | geometry | each side of a rectangular field diminished by 40 % . by how much per cent is the area of the field diminished ? | 64 | n0 = 40.0
t0 = 100.0 * 100.0
t1 = 100.0 - n0
t2 = t1 * t1
t3 = t0 - t2
t4 = t3 / t0
answer = t4 * 100.0
print(answer) | MathQA_Geometry |
Geometry | geometry | a horse is tethered to one corner of a rectangular grassy field 46 m by 20 m with a rope 17 m long . over how much area of the field can it graze ? | 226.980069 | n0 = 46.0
n1 = 20.0
n2 = 17.0
t0 = n2**min(2.0, 5)
t1 = t0 * 3.141592653589793
answer = t1 / 4.0
print(answer) | MathQA_Geometry |
Geometry | geometry | a lady grows broccoli in her garden that is in the shape of a square . each broccoli takes 1 square foot of area in her garden . this year , she has increased her output by 79 broccoli when compared to last year . the shape of the area used for growing the broccoli has remained a square in both these years . how many b... | 1,600 | n0 = 1.0
n1 = 79.0
t0 = n0 + n1
t1 = t0 / 2.0
answer = t1**min(2.0, 5)
print(answer) | MathQA_Geometry |
Geometry | geometry | find the area of the quadrilateral of one of its diagonals is 40 cm and its off sets 11 cm and 9 cm ? | 400 | n0 = 40.0
n1 = 11.0
n2 = 9.0
t0 = n1 + n2
t1 = 1.0 / 2.0
t2 = t0 * t1
answer = n0 * t2
print(answer) | MathQA_Geometry |
Geometry | geometry | in how many q ways can 5 people from a group of 6 people be seated around a circular table | 144 | import math
n0 = 5.0
n1 = 6.0
t0 = math.factorial(min(15, int(n1)))
t1 = math.factorial(min(15, int(n0)))
t2 = n0 - 1.0
t3 = t0 / t1
t4 = math.factorial(min(15, int(t2)))
answer = t3 * t4
print(answer) | MathQA_Geometry |
Geometry | geometry | 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 . 26 small cubes are found with no paints on them . how many of unit cubes have at least one face that is painted red ? | 99 | n0 = 26.0
t0 = 1.0 + 3.0
t1 = t0 + 1.0
t2 = t1**min(3.0, 5)
answer = t2 - n0
print(answer) | MathQA_Geometry |
Geometry | geometry | the area of sector of a circle whose radius is 12 metro and whose angle at the center is 39 ° is ? | 49.028571 | n0 = 12.0
n1 = 39.0
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) | MathQA_Geometry |
Geometry | geometry | a rectangular lawn of dimensions 80 m * 40 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 ? | 3,300 | n0 = 80.0
n1 = 40.0
n2 = 10.0
n3 = 3.0
t0 = n0 + n1
t1 = t0 - n2
t2 = n2 * t1
answer = n3 * t2
print(answer) | MathQA_Geometry |
Geometry | geometry | the radius of the two circular fields is in the ratio 4 : 10 the area of the second field is what percent greater than the area of the first ? | 84 | n0 = 4.0
n1 = 10.0
t0 = n1**min(2.0, 5)
t1 = n0**min(2.0, 5)
answer = t0 - t1
print(answer) | MathQA_Geometry |
Geometry | geometry | what is the total surface area in square meters of a rectangular solid whose length is 10 meters , width is 9 meters , and depth is 6 meters ? | 408 | n0 = 10.0
n1 = 9.0
n2 = 6.0
answer = 2 * (n0 * n1 + n0 * n2 + n1 * n2) # surface of a rectangular prism
print(answer) | MathQA_Geometry |
Geometry | geometry | a wooden cube whose edge length is 6 inches is composed of smaller cubes with edge lengths of one inch . the outside surface of the large cube is painted red and then it is split up into its smaller cubes . if one cube is randomly selected from the small cubes , what is the probability that the cube will have at least ... | 70.37037 | n0 = 6.0
t0 = 1.0 * 4.0
t1 = n0**3
t2 = t0**3
t3 = t2 / t1
t4 = 1.0 - t3
answer = t4 * 100.0
print(answer) | MathQA_Geometry |
Geometry | geometry | 8 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 ? | 84 | n0 = 8.0
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 | a rectangular field is to be fenced on three sides leaving a side of 80 feet uncovered . if the area of the field is 680 sq . ft , how many feet of fencing will be required ? | 97 | n0 = 80.0
n1 = 680.0
t0 = n1 / n0
t1 = t0 * 2.0
answer = n0 + t1
print(answer) | MathQA_Geometry |
Geometry | geometry | a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 720 sq . feet , how many feet of fencing will be required ? | 92 | n0 = 20.0
n1 = 720.0
t0 = n1 / n0
t1 = t0 * 2.0
answer = n0 + t1
print(answer) | MathQA_Geometry |
Geometry | geometry | if the sum of a number and its square is 20 , what is the number ? | 4 | import math
n0 = 20.0
t0 = math.sqrt(max(0, n0))
answer = math.floor(t0)
print(answer) | MathQA_Geometry |
Geometry | geometry | the water level in a rectangular swimming pool measuring 60 feet by 10 feet is to be lowered by 6 inches . how many gallons of water must be removed ? ( 1 cu ft = 7.5 gallons ) | 2,250 | n0 = 60.0
n1 = 10.0
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) | MathQA_Geometry |
Geometry | geometry | a rectangular photograph is surrounded by a border that is 1 inch wide on each side . the total area of the photograph and the border is m square inches . if the border had been 3 inches wide on each side , the total area would have been ( m + 64 ) square inches . what is the perimeter of the photograph , in inches ? | 16 | n0 = 1.0
n1 = 3.0
n2 = 64.0
t0 = n1 * 2.0
t1 = n0 * 2.0
t2 = t0**min(2.0, 5)
t3 = t1**min(2.0, 5)
t4 = t2 - t3
t5 = n2 - t4
answer = t5 / 2.0
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 5 m , the volume of the box ( in m 3 ) is : | 4,940 | n0 = 48.0
n1 = 36.0
n2 = 5.0
n3 = 3.0
t0 = n2 * 2.0
t1 = n0 - t0
t2 = n1 - t0
answer = n2 * t1 * t2
print(answer) | MathQA_Geometry |
Geometry | geometry | triangle xyz is an isosceles right triangle . if side xy is longer than side yz , and the area of the triangle is 64 , what is the measure of side xy ? | 16 | import math
n0 = 64.0
t0 = math.sqrt(max(0, n0))
t1 = math.sqrt(max(0, 2.0))
t2 = t0 * t1
t3 = t2**min(2.0, 5)
t4 = t3 + t3
answer = math.sqrt(max(0, t4))
print(answer) | MathQA_Geometry |
Geometry | geometry | 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 ? | 2,735 | n0 = 10940.0
n1 = 4.0
answer = n0 / n1
print(answer) | MathQA_Geometry |
Geometry | geometry | a rectangular photograph is surrounded by a border that is 2 inch wide on each side . the total area of the photograph and the border is m square inches . if the border had been 4 inches wide on each side , the total area would have been ( m + 94 ) square inches . what is the perimeter of the photograph , in inches ? | 23 | n0 = 2.0
n1 = 4.0
n2 = 94.0
t0 = n1 * 2.0
t1 = n0 * 2.0
t2 = t0**min(2.0, 5)
t3 = t1**min(2.0, 5)
t4 = t2 - t3
t5 = n2 - t4
answer = t5 / 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | if the volume of a cube is x ^ 3 cubic units , what is the number of square units in the surface area of the cube ? | 6 | n0 = 3.0
t0 = 2.0 * 3.0
t1 = 1.0 * 1.0
answer = t0 * t1
print(answer) | MathQA_Geometry |
Geometry | geometry | if the length of the longest chord of a certain circle is 24 , what is the radius of that certain circle ? | 12 | n0 = 24.0
answer = n0 / 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | a square carpet with an area 169 m 2 must have 2 metres cut - off one of its edges in order to be a perfect fit for a rectangular room . what is the area of rectangular room ? | 143 | import math
n0 = 169.0
n1 = 2.0
n2 = 2.0
t0 = math.sqrt(max(0, n0))
t1 = t0 - 2.0
answer = t0 * t1
print(answer) | MathQA_Geometry |
Geometry | geometry | what is the measure of the angle w made by the diagonals of the any adjacent sides of a cube . | 60 |
answer = 180.0 / 3.0
print(answer) | MathQA_Geometry |
Geometry | geometry | square a has an area of 25 square centimeters . square b has a perimeter of 12 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 ? | 0.64 | n0 = 25.0
n1 = 12.0
t0 = n1 / 4.0
t1 = t0**min(2.0, 5)
t2 = n0 - t1
answer = t2 / n0
print(answer) | MathQA_Geometry |
Geometry | geometry | what is the area of square field whose side of length 14 m ? | 196 | n0 = 14.0
answer = n0**2
print(answer) | MathQA_Geometry |
Geometry | geometry | what is the area of a square with perimeter 12 p ? | 9 | n0 = 12.0
t0 = n0 / 4. # square edge given perimeter
answer = t0**2
print(answer) | MathQA_Geometry |
Geometry | geometry | 6 points lie on the circumference of a ellipse . what is the positive difference between the number of triangles and the number of quadrilaterals that can be created by connecting these points ? | 5 | import math
n0 = 6.0
t0 = math.factorial(min(15, int(n0)))
t1 = math.factorial(min(15, int(3.0)))
t2 = math.factorial(min(15, int(4.0)))
t3 = math.factorial(min(15, int(2.0)))
t4 = t1 * t1
t5 = t2 * t3
t6 = t0 / t4
t7 = t0 / t5
answer = t6 - t7
print(answer) | MathQA_Geometry |
Geometry | geometry | a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 50 sq . feet , how many feet of fencing will be required ? | 25 | n0 = 20.0
n1 = 50.0
t0 = n1 / n0
t1 = t0 * 2.0
answer = n0 + t1
print(answer) | MathQA_Geometry |
Geometry | geometry | the length of a rectangular field is 7 / 5 its width . if the perimeter of the field is 360 meters , what is the width of the field ? | 75 | n0 = 7.0
n1 = 5.0
n2 = 360.0
t0 = n0 / n1
t1 = t0 + t0
t2 = t1 + 2.0
answer = n2 / t2
print(answer) | MathQA_Geometry |
Geometry | geometry | what no should be subtracted from 92555 to make it a perfect square ? | 139 | import math
n0 = 92555.0
t0 = math.sqrt(max(0, n0))
t1 = math.floor(t0)
t2 = t1 * t1
answer = n0 - t2
print(answer) | MathQA_Geometry |
Geometry | geometry | the perimeter of one face of a cube is 40 cm . its volume will be : | 1,000 | n0 = 40.0
t0 = n0 / 4. # square edge given perimeter
answer = t0**3
print(answer) | MathQA_Geometry |
Geometry | geometry | the two sides of a triangle are 32 and 68 . the area is 960 sq . cm . find the third side of triangle ? | 60 | import math
n0 = 32.0
n1 = 68.0
n2 = 960.0
t0 = n0 + n1
t1 = n0 * n1
t2 = n2**min(2.0, 5)
t3 = t2 * 4.0
t4 = t0**min(2.0, 5)
t5 = t1**min(2.0, 5)
t6 = t5 - t3
t7 = math.sqrt(max(0, t6))
t8 = t1 + t7
t9 = t8 / 2.0
t10 = t9 * 4.0
t11 = t4 - t10
t12 = math.sqrt(max(0, t11))
t13 = t0 + t12
t14 = t13 / 2.0
t15 = t14 * 2.0
a... | MathQA_Geometry |
Geometry | geometry | 30 square stone slabs of equal size were needed to cover a floor area of 67.5 sq . m . find the length of each stone slab ? | 150 | import math
n0 = 30.0
n1 = 67.5
t0 = n1 / n0
t1 = math.sqrt(max(0, t0))
answer = t1 * 100.0
print(answer) | MathQA_Geometry |
Geometry | geometry | the ratio between the perimeter and the width of a rectangle is 5 : 1 . if the area of the rectangle is 150 square centimeters , what is the length of the rectangle in centimeters ? | 15 | n0 = 5.0
n1 = 1.0
n2 = 150.0
answer = n2 / 10.0
print(answer) | MathQA_Geometry |
Geometry | geometry | if the sides of a triangle are 78 cm , 72 cm and 30 cm , what is its area ? | 1,080 | n0 = 78.0
n1 = 72.0
n2 = 30.0
t0 = n1 * n2
answer = t0 / 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | if the area of a triangle with base 6 cm is equal to the area of a square with side 6 cm , then the altitude of the triangle is | 12 | n0 = 6.0
n1 = 6.0
t0 = n0**2
t1 = t0 * 2.0
answer = t1 / n0
print(answer) | MathQA_Geometry |
Geometry | geometry | a small , rectangular park has a perimeter of 560 feet and a diagonal measurement of 300 feet . what is its area , in square feet ? | 43,200 | n0 = 560.0
n1 = 300.0
t0 = 2.0 + 3.0
t1 = n1 / t0
t2 = t1 * 3.0
t3 = t1 * 4.0
answer = t2 * t3
print(answer) | MathQA_Geometry |
Geometry | geometry | what is the smallest positive integer x , such that 1152 x is a perfect cube ? | 12 | import math
n0 = 1152.0
t0 = 1.0 / 3.0
t1 = n0**min(t0, 5)
t2 = t1 + 2.0
answer = math.floor(t2)
print(answer) | MathQA_Geometry |
Geometry | geometry | if circles x and y have the same area and circle x has a circumference of 10 π , half of the radius of circle y is : | 2.5 | n0 = 10.0
t0 = n0 / 2.0
answer = t0 / 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | a circular well with a diameter of 2 metres , is dug to a depth of 8 metres . what is the volume of the earth dug out ? | 25.132741 | import math
n0 = 2.0
n1 = 8.0
t0 = n0 / n0
answer = math.pi * t0**2 * n1
print(answer) | MathQA_Geometry |
Geometry | geometry | consider a square of diagonal length d . let another square be formed with d as its side . find the ratio of the area of the bigger square to that of the smaller square . | 2 | import math
t0 = 1.0 + 1.0
t1 = 1.0**min(2.0, 5)
t2 = 1.0 / t0
t3 = math.sqrt(max(0, t2))
t4 = t3**min(2.0, 5)
answer = t1 / t4
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 576 feet squared , what is the difference between the length and the width of the roof ? | 36 | import math
n0 = 4.0
n1 = 576.0
t0 = n1 / n0
t1 = math.sqrt(max(0, t0))
t2 = t1 * n0
answer = t2 - t1
print(answer) | MathQA_Geometry |
Geometry | geometry | what positive number , when squared , is equal to the cube of the positive square root of 16 ? | 8 | import math
n0 = 16.0
t0 = 1.0 / 2.0
t1 = n0**min(t0, 5)
t2 = t1**min(3.0, 5)
answer = math.sqrt(max(0, t2))
print(answer) | MathQA_Geometry |
Geometry | geometry | the area of a triangle is with base 3 m and height 4 m ? | 6 | n0 = 3.0
n1 = 4.0
answer = n0 * n1 / 2
print(answer) | MathQA_Geometry |
Geometry | geometry | a metallic sheet is of rectangular shape with dimensions 100 m x 50 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 10 m , the volume of the box ( in m cube ) is : | 24,000 | n0 = 100.0
n1 = 50.0
n2 = 10.0
t0 = n2 * 2.0
t1 = n0 - t0
t2 = n1 - t0
answer = n2 * t1 * t2
print(answer) | MathQA_Geometry |
Geometry | geometry | two equilateral triangles of side 12 cm are placed one on top of another , such that a 6 pointed star is formed . if the six verticals lie on a circle what is the area of the circle not enclosed by the star ? | 67.658009 | import math
n0 = 12.0
n1 = 6.0
t0 = n0 / 3.0
t1 = math.sqrt(max(0, 3.0))
t2 = t1 / 2.0
t3 = t0**min(2.0, 5)
t4 = n0 * t2
t5 = t3 * t1
t6 = t5 / 4.0
t7 = t4 * 2.0
t8 = t7 / 3.0
t9 = n0 * t6
t10 = math.pi * t8**2
answer = t10 - t9
print(answer) | MathQA_Geometry |
Geometry | geometry | a lady builds 10 cm length , 18 cm width , and 4 cm height box using 12 cubic cm cubes . what is the minimum number of cubes required to build the box ? | 60 | n0 = 10.0
n1 = 18.0
n2 = 4.0
n3 = 12.0
t0 = n0 * n1
t1 = n2 * t0
answer = t1 / n3
print(answer) | MathQA_Geometry |
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