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 product of the squares of two positive integers is 400 . how many pairs of positive integers satisfy this condition ? | 3 | n0 = 400.0
t0 = 2.0 + 3.0
answer = t0 - 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | a rectangular field has a length 10 meters more than it is width . if the area of the field is 171 , what is the length ( in meters ) of the rectangular field ? | 19.13 | n0 = 10.0
n1 = 171.0
t0 = n1 / n0
t1 = t0 / 2.0
t2 = t1 + 0.33
t3 = t2 + 0.25
answer = n0 + t3
print(answer) | MathQA_Geometry |
Geometry | geometry | find the perimeter and area of a square of side 13 cm . | 169 | n0 = 13.0
answer = n0**2
print(answer) | MathQA_Geometry |
Geometry | geometry | two isosceles triangles have equal vertical angles and their areas are in the ratio 25 : 49 . find the ratio of their corresponding heights . | 0.714286 | import math
n0 = 25.0
n1 = 49.0
t0 = math.sqrt(max(0, n0))
t1 = math.sqrt(max(0, n1))
answer = t0 / t1
print(answer) | MathQA_Geometry |
Geometry | geometry | find the area of circle whose radius is 7 m ? | 153.93804 | import math
n0 = 7.0
answer = math.pi * n0**2
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 784 feet squared , what is the difference between the length and the width of the roof ? | 42 | import math
n0 = 4.0
n1 = 784.0
t0 = n1 / n0
t1 = math.sqrt(max(0, t0))
t2 = t1 * n0
answer = t2 - t1
print(answer) | MathQA_Geometry |
Geometry | geometry | find the area of the quadrilateral of one of its diagonals is 30 cm and its off sets 10 cm and 6 cm ? | 240 | n0 = 30.0
n1 = 10.0
n2 = 6.0
t0 = n1 + n2
t1 = 1.0 / 2.0
t2 = t0 * t1
answer = n0 * t2
print(answer) | MathQA_Geometry |
Geometry | geometry | a semicircular shaped window has diameter of 63 cm . its perimeter equals | 161.960169 | import math
n0 = 63.0
t0 = n0 / 2.0
t1 = 2 * math.pi * t0
t2 = t1 / 2.0
answer = n0 + t2
print(answer) | MathQA_Geometry |
Geometry | geometry | in the rectangular coordinate system , points ( 2 , 0 ) and ( – 2 , 0 ) both lie on circle c . what is the maximum possible value of the radius of c ? | 2 | import math
n0 = 2.0
n1 = 0.0
n2 = 2.0
n3 = 0.0
t0 = n0**min(2.0, 5)
answer = math.sqrt(max(0, t0))
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 440 sq . feet , how many feet of fencing will be required ? | 64 | n0 = 20.0
n1 = 440.0
t0 = n1 / n0
t1 = t0 * 2.0
answer = n0 + t1
print(answer) | MathQA_Geometry |
Geometry | geometry | a football field is 9600 square yards . if 800 pounds of fertilizer are spread evenly across the entire field , how many pounds of fertilizer were spread over an area of the field totaling 3600 square yards ? | 300 | n0 = 9600.0
n1 = 800.0
n2 = 3600.0
t0 = n1 / n0
answer = n2 * t0
print(answer) | MathQA_Geometry |
Geometry | geometry | find the curved surface area , if the radius of a cone is 28 m and slant height is 30 m ? | 2,638.937829 | n0 = 28.0
n1 = 30.0
t0 = n0 * n1
answer = t0 * 3.141592653589793
print(answer) | MathQA_Geometry |
Geometry | geometry | a cylindrical container of radius 6 cm and height 15 cm is filled with ice - cream . the whole icecream has to be distributed to 10 children in equal cones with hemispherical tops . if the height of the conical portion is four times the radius of its base , find the radius of the ice - cream cone . | 3 | import math
n0 = 6.0
n1 = 15.0
n2 = 10.0
t0 = 1.0 / 3.0
t1 = 2.0 / 3.0
t2 = math.pi * n0**2 * n1
t3 = t2 / 10.0
t4 = t0 * 3.141592653589793
t5 = t1 * 3.141592653589793
t6 = t4 * 4.0
t7 = t6 + t5
t8 = t3 / t7
t9 = t8 / 3.0
answer = math.sqrt(max(0, t9))
print(answer) | MathQA_Geometry |
Geometry | geometry | huey ' s hip pizza sells two sizes of square pizzas : a small pizza that measures 14 inches on a side and costs $ 10 , and a large pizza that measures 21 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 ... | 49 | n0 = 14.0
n1 = 10.0
n2 = 21.0
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) | MathQA_Geometry |
Geometry | geometry | a farmer grows broccoli in his farm that is in the shape of a square . each broccoli takes 1 square foot of area in his garden . this year , he has increased his output by 101 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... | 2,601 | n0 = 1.0
n1 = 101.0
t0 = n0 + n1
t1 = t0 / 2.0
answer = t1**min(2.0, 5)
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 30 cm , find the sum of the perimeters of all the triangles... | 180 | n0 = 2.0
n1 = 1.0
n2 = 3.0
n3 = 2.0
n4 = 1.0
n5 = 30.0
t0 = n5 + n5 + n5 # perimeter of a triangle
answer = t0 + t0
print(answer) | MathQA_Geometry |
Geometry | geometry | how many cubes of edge 2 dm can be cut out of a meter cube ? | 125 | n0 = 2.0
t0 = 10.0**3
t1 = n0**3
answer = t0 / 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 650 sq . feet , how many feet of fencing will be required ? | 85 | n0 = 20.0
n1 = 650.0
t0 = n1 / n0
t1 = t0 * 2.0
answer = n0 + t1
print(answer) | MathQA_Geometry |
Geometry | geometry | a cube of edge 12 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 ? | 5.76 | n0 = 12.0
n1 = 20.0
n2 = 15.0
t0 = n1 * n2
t1 = n0**3
answer = t1 / t0
print(answer) | MathQA_Geometry |
Geometry | geometry | the difference of the areas of two squares drawn on two line segments in 32 sq . cm . find the length of the greater line segment if one is longer than the other by 2 cm | 7 | n0 = 32.0
n1 = 2.0
t0 = n1 * 2.0
t1 = n0 - t0
answer = t1 / 4.0
print(answer) | MathQA_Geometry |
Geometry | geometry | square a has an area of 81 square centimeters . square b has a perimeter of 32 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 ? | 0.209877 | n0 = 81.0
n1 = 32.0
t0 = n1 / 4.0
t1 = t0**min(2.0, 5)
t2 = n0 - t1
answer = t2 / n0
print(answer) | MathQA_Geometry |
Geometry | geometry | a rectangular floor that measures 24 meters by 64 meters is to be covered with carpet squares that each measure 8 meters by 8 meters . if the carpet squares cost $ 24 apiece , what is the total cost for the number of carpet squares needed to cover the floor ? | 576 | n0 = 24.0
n1 = 64.0
n2 = 8.0
n3 = 8.0
n4 = 24.0
answer = n0 * n0
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 400 sq . ft , how many feet of fencing will be required ? | 60 | n0 = 20.0
n1 = 400.0
t0 = n1 / n0
t1 = t0 * 2.0
answer = n0 + t1
print(answer) | MathQA_Geometry |
Geometry | geometry | the hypotenuse of a right triangle is 2 centimeters more than the longer side of the triangle . the shorter side of the triangle is 7 centimeters less than the longer side . find the length of the hypotenuse . | 17 | import math
n0 = 2.0
n1 = 7.0
t0 = n0 + n1
t1 = n1**min(2.0, 5)
t2 = n0**min(2.0, 5)
t3 = n0 * t0
t4 = t1 - t2
t5 = t4 * 4.0
t6 = t3**min(2.0, 5)
t7 = t6 - t5
t8 = math.sqrt(max(0, t7))
t9 = t3 + t8
t10 = t9 / 2.0
answer = n0 + t10
print(answer) | MathQA_Geometry |
Geometry | geometry | in a rectangular coordinate system , what is the area of a rectangle whose vertices have the coordinates ( - 4 , 1 ) , ( 1 , 1 ) , ( 1 , - 3 ) and ( - 4 , - 3 ) ? | 20 | n0 = 4.0
n1 = 1.0
n2 = 1.0
n3 = 1.0
n4 = 1.0
n5 = 3.0
n6 = 4.0
n7 = 3.0
t0 = n0 + n1
t1 = n1 + n5
answer = t0 * t1
print(answer) | MathQA_Geometry |
Geometry | geometry | what will be the cost of building a fence around a square plot with area equal to 64 sq ft , if the price per foot of building the fence is rs . 58 ? | 1,856 | import math
n0 = 64.0
n1 = 58.0
t0 = math.sqrt(max(0, n0))
t1 = 4 * t0
answer = n1 * t1
print(answer) | MathQA_Geometry |
Geometry | geometry | if y is the smallest positive integer such that 31,360 multiplied by y is the square of an integer , then y must be | 10 | n0 = 31360.0
t0 = 2.0 + 3.0
answer = t0 * 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | the length and breadth of a rectangle is increased by 10 % and 25 % respectively . what is the increase in the area ? | 37.5 | 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) | MathQA_Geometry |
Geometry | geometry | a small , rectangular park has a perimeter of 560 feet and a diagonal measurement of 600 feet . what is its area , in square feet ? | 172,800 | n0 = 560.0
n1 = 600.0
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 | 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 40 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 ? | 56.8 | n0 = 100.0
n1 = 40.0
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) | MathQA_Geometry |
Geometry | geometry | there are 7 non - collinear points . how many triangles can be drawn by joining these points ? | 35 | n0 = 7.0
t0 = 1.0 + 4.0
answer = n0 * t0
print(answer) | MathQA_Geometry |
Geometry | geometry | what is the probability of getting equilateral triangles from the vertices of regular hexagon ? | 0.1 | import scipy
t0 = 3.0 + 3.0
t1 = scipy.special.comb(t0, 3.0)
answer = 2.0 / t1
print(answer) | MathQA_Geometry |
Geometry | geometry | the monthly rent of a shop of dimension 20 feet × 18 feet is rs . 1440 . what is the annual rent per square foot of the shop ? | 48 | n0 = 20.0
n1 = 18.0
n2 = 1440.0
t0 = 10.0 + 2.0
t1 = n0 * n1 # area of rectangle
t2 = n2 / t1
answer = t0 * t2
print(answer) | MathQA_Geometry |
Geometry | geometry | find the curved surface area , if the radius of a cone is 21 m and slant height is 15 m ? | 989.601686 | n0 = 21.0
n1 = 15.0
t0 = n0 * n1
answer = t0 * 3.141592653589793
print(answer) | MathQA_Geometry |
Geometry | geometry | the length of a rectangle is reduced by 22 % . by what % would the width have to be increased to maintainthe 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 area of a circular field is 13.86 hectares . find the cost of fencing it at the rate of rs . 4.50 per metre . | 5,938.804937 | import math
n0 = 13.86
n1 = 4.5
t0 = n0 / 3.141592653589793
t1 = math.sqrt(max(0, t0))
t2 = t1 * 100.0
t3 = 2 * math.pi * t2
answer = t3 * n1
print(answer) | MathQA_Geometry |
Geometry | geometry | difference between the length and breadth of a rectangle is 23 m . ifits perimeter is 206 m , then its area is ? ? | 2,520 | n0 = 23.0
n1 = 206.0
t0 = n1 / 2.0
t1 = t0 - n0
t2 = t1 / 2.0
t3 = n0 + t2
answer = t3 * t2 # area of rectangle
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 42 ° is ? | 52.8 | n0 = 12.0
n1 = 42.0
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 | the perimeter of a triangle is 20 cm and the inradius of the triangle is 2.5 cm . what is the area of the triangle | 25 | n0 = 20.0
n1 = 2.5
answer = n0 * n1 / 2
print(answer) | MathQA_Geometry |
Geometry | geometry | the length of a rectangular landscape is 8 times its breadth . there is a playground in it whose area is 1200 square mtr & which is 1 / 6 rd of the total landscape . what is the length of the landscape ? | 240 | n0 = 8.0
n1 = 1200.0
n2 = 1.0
n3 = 6.0
t0 = 4.0 * n3
answer = t0 * 10.0
print(answer) | MathQA_Geometry |
Geometry | geometry | the surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 14 cm each . the radius of the sphere is | 7 | import math
n0 = 14.0
t0 = n0 / 2.0
t1 = 4.0 * 3.141592653589793
t2 = n0 * t0
t3 = t2 * 3.141592653589793
t4 = t3 * 2.0
t5 = t4 / t1
answer = math.sqrt(max(0, t5))
print(answer) | MathQA_Geometry |
Geometry | geometry | a rectangular lawn of dimensions 80 m * 60 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 . 5 per sq m ? | 6,500 | n0 = 80.0
n1 = 60.0
n2 = 10.0
n3 = 5.0
t0 = n0 + n1
t1 = t0 - n2
t2 = n2 * t1
answer = n3 * t2
print(answer) | MathQA_Geometry |
Geometry | geometry | in a rectangular coordinate system , what is the area of a rhombus whose vertices have the coordinates ( 0 , 5.5 ) , ( 8 , 0 ) , ( 0 , - 5.5 ) , ( - 8 , 0 ) ? | 88 | n0 = 0.0
n1 = 5.5
n2 = 8.0
n3 = 0.0
n4 = 0.0
n5 = 5.5
n6 = 8.0
n7 = 0.0
t0 = n2 * 2.0
t1 = n1 * 2.0
answer = t0 * t1 / 2
print(answer) | MathQA_Geometry |
Geometry | geometry | in a rectangular coordinate system , what is the area of a rhombus whose vertices have the coordinates ( 0 , 3.5 ) , ( 11 , 0 ) , ( 0 , - 3.5 ) , ( - 11 , 0 ) ? | 77 | n0 = 0.0
n1 = 3.5
n2 = 11.0
n3 = 0.0
n4 = 0.0
n5 = 3.5
n6 = 11.0
n7 = 0.0
t0 = n2 * 2.0
t1 = n1 * 2.0
answer = t0 * t1 / 2
print(answer) | MathQA_Geometry |
Geometry | geometry | 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 : | 59.97586 | 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) | MathQA_Geometry |
Geometry | geometry | the parameter of a square is equal to the perimeter of a rectangle of length 8 cm and breadth 6 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . | 10.995574 | import math
n0 = 8.0
n1 = 6.0
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 | a trainer is standing in one corner of a square ground of side 25 m . his voice can be heard upto 140 m . find the area of the ground in which his voice can be heard ? | 15,393.804003 | import math
n0 = 25.0
n1 = 140.0
t0 = math.pi * n1**2
answer = t0 / 4.0
print(answer) | MathQA_Geometry |
Geometry | geometry | 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 cab... | 4,096 | n0 = 1.0
n1 = 127.0
t0 = n1 - n0
t1 = t0 / 2.0
t2 = n0 + t1
answer = t2**min(2.0, 5)
print(answer) | MathQA_Geometry |
Geometry | geometry | the length of a rectangle is reduced by 10 % . by what % would the width have to be increased to maintain the original area ? | 11.111111 | n0 = 10.0
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 and breadth of the floor of the room are 20 feet and 10 feet respectively . square tiles of 2 feet length of different colours are to be laid on the floor . black tiles are laid in the first row on all sides . if white tiles are laid in the one - third of the remaining and blue tiles in the rest , how many b... | 16 | n0 = 20.0
n1 = 10.0
n2 = 2.0
t0 = n0 + n0
t1 = 3.0 + 3.0
t2 = n0 * n1
t3 = t0 + t1
t4 = t3 + t1
t5 = t4 * 2.0
t6 = t2 - t5
t7 = t6 / 3.0
t8 = t6 - t7
answer = t8 / 4.0
print(answer) | MathQA_Geometry |
Geometry | geometry | the diagonals of a rhombus are 14 cm and 20 cm . find its area ? | 140 | n0 = 14.0
n1 = 20.0
answer = n0 * n1 / 2
print(answer) | MathQA_Geometry |
Geometry | geometry | carol and jordan draw rectangles of equal area . if carol ' s rectangle measures 8 inches by 15 inches and jordan ' s rectangle is 4 inches long , how wide is jordan ' s rectangle , in inches ? | 30 | n0 = 8.0
n1 = 15.0
n2 = 4.0
t0 = n0 * n1 # area of rectangle
answer = t0 / n2
print(answer) | MathQA_Geometry |
Geometry | geometry | what will be the cost of building a fence around a square plot with area equal to 49 sq ft , if the price per foot of building the fence is rs . 58 ? | 1,624 | import math
n0 = 49.0
n1 = 58.0
t0 = math.sqrt(max(0, n0))
t1 = 4 * t0
answer = n1 * t1
print(answer) | MathQA_Geometry |
Geometry | geometry | if circles x and y have the same area and circle x has a circumference of 18 π , half of the radius of circle y is : | 4.5 | n0 = 18.0
t0 = n0 / 2.0
answer = t0 / 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | a circular swimming pool is surrounded by a concrete wall 4 feet wide . if the area of the wall is 11 / 25 of the area of the pool , then the radius of the pool in feet is ? | 20 | import math
n0 = 4.0
n1 = 11.0
n2 = 25.0
t0 = n1 / n2
t1 = n0 * 2.0
t2 = n0**min(2.0, 5)
t3 = t0 * 4.0
t4 = t1**min(2.0, 5)
t5 = t3 * t2
t6 = t5 + t4
t7 = math.sqrt(max(0, t6))
t8 = t1 + t7
t9 = t8 / t0
answer = t9 / 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | if the perimeter and diagonal of a rectangle are 14 and 5 cms respectively , find its area . | 12 | n0 = 14.0
n1 = 5.0
t0 = n0 / 2.0
t1 = n1**min(2.0, 5)
t2 = t0**min(2.0, 5)
t3 = t2 - t1
answer = t3 / 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | the area of a circle is increased by 300 % . by what percent has the diameter of the circle increased ? | 100 | n0 = 300.0
t0 = 2.0 / 2.0
answer = t0 * 100.0
print(answer) | MathQA_Geometry |
Geometry | geometry | the length of the rectangular field is double its width . inside the field there is square shaped pond 5 m long . if the area of the pond is 1 / 8 of the area of the field . what is the length of the field ? | 20 | import math
n0 = 5.0
n1 = 1.0
n2 = 8.0
t0 = 1 / 2.0
t1 = n0**2
t2 = n2 * t1
t3 = t2 / t0
answer = math.sqrt(max(0, t3))
print(answer) | MathQA_Geometry |
Geometry | geometry | a cube has a volume of 125 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 ? | 1,000 | n0 = 125.0
t0 = n0**(1 / 3)
t1 = t0 * 2.0
answer = t1**3
print(answer) | MathQA_Geometry |
Geometry | geometry | a larger cube has 125 cubic inch as a volume and in the cube there are 125 smaller cubes such that their volume is 1 cubic inch . what is the difference between the surface areas ’ sum of the 125 smaller cubes and the surface area of the larger cube , in square inch ? | 600 | n0 = 125.0
n1 = 125.0
n2 = 1.0
n3 = 125.0
t0 = n2**(1 / 3)
t1 = n0**(1 / 3)
t2 = 6 * t0**2 # surface of a cube
t3 = 6 * t1**2 # surface of a cube
t4 = n0 * t2
answer = t4 - 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 / 5 of th area of the garden . what is the radius of the circular garden ? | 10 | import math
n0 = 1.0
n1 = 5.0
t0 = n1**min(2.0, 5)
t1 = math.sqrt(max(0, t0))
answer = t1 * 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | 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 . the area of the lawn is 2109 sq . m . what is the width of the road ? | 3 | 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) | MathQA_Geometry |
Geometry | geometry | find the sum of divisors of 544 which are perfect squares . | 21 | import math
n0 = 544.0
t0 = n0 / 2.0
t1 = t0 / 2.0
t2 = t1 / 2.0
t3 = t2 / 2.0
t4 = t3 / 2.0
t5 = n0 / t4
t6 = t5 / 2.0
t7 = math.sqrt(max(0, t6))
t8 = t7 + 1.0
answer = t8 + t6
print(answer) | MathQA_Geometry |
Geometry | geometry | the radius of the base of cone is 3 cm and height is 4 cm . find the volume of the cone ? | 12 | n0 = 3.0
n1 = 4.0
answer = n0 * n1 # area of rectangle
print(answer) | MathQA_Geometry |
Geometry | geometry | if the length of the sides of two cubes are in the ratio 4 : 1 , what is the ratio of their total surface area ? | 16 | n0 = 4.0
n1 = 1.0
answer = n0 * n0
print(answer) | MathQA_Geometry |
Geometry | geometry | compute the perimeter of a square with area 36 . | 24 | import math
n0 = 36.0
t0 = math.sqrt(max(0, n0))
answer = t0 * 4.0
print(answer) | MathQA_Geometry |
Geometry | geometry | volume of a right circular cylinder is 6 o l . if radius of cylinder is doubled , then what will be the increase in volume ? | 180 | n0 = 6.0
t0 = n0 * 10.0
t1 = t0 * 4.0
answer = t1 - t0
print(answer) | MathQA_Geometry |
Geometry | geometry | the length of rectangle is thrice its breadth and its perimeter is 72 m , find the area of the rectangle ? | 243 | n0 = 72.0
t0 = 2.0 * 3.0
t1 = 1.0 * 2.0
t2 = t0 + t1
t3 = n0 / t2
t4 = t3 * 3.0
answer = t3 * t4
print(answer) | MathQA_Geometry |
Geometry | geometry | the area of a rectangular plot is 15 times its breadth . if the difference between the length and the breadth is 10 metres , what is its breadth ? | 5 | n0 = 15.0
n1 = 10.0
answer = n0 - n1
print(answer) | MathQA_Geometry |
Geometry | geometry | the perimeter of a triangle is 36 cm and the inradius 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 | if length of a rectangle is equal to side of a square and breadth of rectangle is half of length . if area of square is 36 sq . m . calculate the area of rectangle ? | 18 | import math
n0 = 36.0
t0 = math.sqrt(max(0, n0))
t1 = t0 / 2.0
answer = t1 * t0
print(answer) | MathQA_Geometry |
Geometry | geometry | the breath of a rectangle is three - fifths of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 2025 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the length is 10 units ? | 270 | import math
n0 = 2025.0
n1 = 10.0
t0 = 1.0 + 4.0
t1 = math.sqrt(n0) # square edge given area
t2 = t1 * 3.0
t3 = t2 / t0
answer = n1 * t3 # area of rectangle
print(answer) | MathQA_Geometry |
Geometry | geometry | the radius of a cylinder is 12 m , height 21 m . the lateral surface area of the cylinder is : | 1,583.362697 | import math
n0 = 12.0
n1 = 21.0
t0 = 2 * math.pi * n0
answer = n1 * t0
print(answer) | MathQA_Geometry |
Geometry | geometry | 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 ? | 2,718 | 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) | 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 / 4 of th area of the garden . what is the radius of the circular garden ? | 8 | import math
n0 = 1.0
n1 = 4.0
t0 = n1**min(2.0, 5)
t1 = math.sqrt(max(0, t0))
answer = t1 * 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | the size of a flat - screen tablet is given as the length of the screen ’ s diagonal . how many square inches greater is the screen of a square 8 - inch flat - screen tablet than a square 7 - inch flat - screen tablet ? | 7.5 | n0 = 8.0
n1 = 7.0
t0 = n0**min(2.0, 5)
t1 = n1**min(2.0, 5)
t2 = t0 / 2.0
t3 = t1 / 2.0
answer = t2 - t3
print(answer) | MathQA_Geometry |
Geometry | geometry | a making a cube with dimension 5 * 5 * 5 using 1 * 1 * 1 cubes . what is the number of cubes needed to make hollow cube looking of the same shape . | 98 | n0 = 5.0
n1 = 5.0
n2 = 5.0
n3 = 1.0
n4 = 1.0
n5 = 1.0
t0 = n0 * n0
t1 = n0 - 2.0
t2 = n0 * t0
t3 = t1 * t1
t4 = t3 * 3.0
answer = t2 - t4
print(answer) | MathQA_Geometry |
Geometry | geometry | amit and ian paint a wall in alternating shifts . first amit paints alone , then ian paints alone , then amit paints alone , etc . during each of his shifts , amit paints 1 / 2 of the remaining unpainted area of the wall , while ian paints 1 / 3 of the remaining unpainted area of the wall during each of his shifts . if... | 0.002058 | n0 = 1.0
n1 = 2.0
n2 = 1.0
n3 = 3.0
n4 = 6.0
t0 = n0 / n1
t1 = n0 - t0
t2 = t1 / n3
t3 = t1 - t2
t4 = t3 / n1
t5 = t4 / n3
t6 = t4 - t5
t7 = t6 / n1
t8 = t7 / n3
t9 = t7 - t8
t10 = t9 / n1
t11 = t10 / n3
t12 = t10 - t11
t13 = t12 / n1
t14 = t13 / n3
t15 = t13 - t14
answer = t15 / n1
print(answer) | MathQA_Geometry |
Geometry | geometry | the length of a rectangle is reduced by 25 % . by what % would the width have to be increased to maintainthe original area ? | 33.333333 | n0 = 25.0
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 rectangualr hll is 5 m more than its breadth . the area of the hall is 750 m . the length of the hall is | 25 | import math
n0 = 5.0
n1 = 750.0
t0 = n1 * 4.0
t1 = n0**min(2.0, 5)
t2 = t0 + t1
t3 = math.sqrt(max(0, t2))
t4 = n0 + t3
t5 = t4 / 2.0
answer = t5 - n0
print(answer) | MathQA_Geometry |
Geometry | geometry | a cubical block of metal weighs 5 pounds . how much will another cube of the same metal weigh if its sides are twice as long ? | 40 | n0 = 5.0
t0 = 2.0 * 4.0
answer = n0 * t0
print(answer) | MathQA_Geometry |
Geometry | geometry | . if the sides of two cubes are in the ratio 3 : 1 the ratio of their total surface area is ? | 9 | n0 = 3.0
n1 = 1.0
t0 = 6 * n0**2 # surface of a cube
t1 = 6 * n1**2 # surface of a cube
answer = t0 / t1
print(answer) | MathQA_Geometry |
Geometry | geometry | square a has an area of 65 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 ? | 0.753846 | n0 = 65.0
n1 = 16.0
t0 = n1 / 4.0
t1 = t0**min(2.0, 5)
t2 = n0 - t1
answer = t2 / n0
print(answer) | MathQA_Geometry |
Geometry | geometry | there are two circles of different radii . the are of a square is 784 sq cm and its side is twice the radius of the larger circle . the radius of the larger circle is 7 - third that of the smaller circle . find the circumference of the smaller circle . | 8 | import math
n0 = 784.0
t0 = 3.0 + 4.0
t1 = math.sqrt(n0) # square edge given area
t2 = t1 / 2.0
t3 = t0 / 3.0
t4 = t2 / t3
answer = t4 + 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | a regular 10 sided area is inscribed in a circle . if a and b are adjacent vertices of the pentagon and o is the center of the circle , what is the value of ∠ oab ? | 72 | n0 = 10.0
t0 = 360.0 / n0
t1 = 180.0 - t0
answer = t1 / 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | a lady builds 12 cm length , 16 cm width , and 6 cm height box using 3 cubic cm cubes . what is the minimum number of cubes required to build the box ? | 384 | n0 = 12.0
n1 = 16.0
n2 = 6.0
n3 = 3.0
t0 = n0 * n1
t1 = n2 * t0
answer = t1 / n3
print(answer) | MathQA_Geometry |
Geometry | geometry | how many internal diagonals does a octagon ( eight sided polygon ) have ? | 20 | t0 = 2.0 * 4.0
t1 = t0 / 2.0
t2 = t0 - 3.0
answer = t1 * t2
print(answer) | MathQA_Geometry |
Geometry | geometry | the length of a rectangular plot is thrice its breadth . if the area of the rectangular plot is 363 sq m , then what is the breadth of the rectangular plot ? | 11 | import math
n0 = 363.0
t0 = n0 / 3.0
answer = math.sqrt(max(0, t0))
print(answer) | MathQA_Geometry |
Geometry | geometry | you buy a piece of land with an area of √ 900 , how long is one side of the land plot ? | 30 | import math
n0 = 900.0
answer = math.sqrt(max(0, n0))
print(answer) | MathQA_Geometry |
Geometry | geometry | the diagonals of a rhombus are 10 cm and 12 cm . find its area ? | 60 | n0 = 10.0
n1 = 12.0
answer = n0 * n1 / 2
print(answer) | MathQA_Geometry |
Geometry | geometry | find the area of a parallelogram with base 14 cm and height 24 cm . | 336 | n0 = 14.0
n1 = 24.0
answer = n0 * n1
print(answer) | MathQA_Geometry |
Geometry | geometry | the slant height of a cone is 10 cm and radius of the base is 5 cm , find the curved surface of the cone ? | 157.079633 | n0 = 10.0
n1 = 5.0
t0 = n1 * 3.141592653589793
answer = n0 * t0
print(answer) | MathQA_Geometry |
Geometry | geometry | a rectangular lawn of dimensions 80 m * 60 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 ? | 3,900 | n0 = 80.0
n1 = 60.0
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 red triangle is equilateral with a side of 23 centimetres . its perimeter is | 69 | n0 = 23.0
answer = n0 + n0 + n0 # perimeter of a triangle
print(answer) | MathQA_Geometry |
Geometry | geometry | 34 . the side surface of a cylinder is rolled with a rectangular plate . if the perimeter of the circular base is 9 feet , and the diagonal of the rectangular plate was 15 ft . what is height of the of the cylinder ? | 12 | import math
n0 = 34.0
n1 = 9.0
n2 = 15.0
t0 = n2**min(2.0, 5)
t1 = n1**min(2.0, 5)
t2 = t0 - t1
answer = math.sqrt(max(0, t2))
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 38 ° is ? | 47.771429 | n0 = 12.0
n1 = 38.0
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 | 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 . 60 ? | 4,080 | import math
n0 = 289.0
n1 = 60.0
t0 = math.sqrt(max(0, n0))
t1 = 4 * t0
answer = n1 * t1
print(answer) | MathQA_Geometry |
Geometry | geometry | find the surface area of a 10 cm x 4 cm x 3 cm brick | 164 | n0 = 10.0
n1 = 4.0
n2 = 3.0
answer = 2 * (n0 * n1 + n0 * n2 + n1 * n2) # surface of a rectangular prism
print(answer) | MathQA_Geometry |
Geometry | geometry | if the sides of a triangle are 26 cm , 24 cm and 15 cm , what is its area ? | 180 | n0 = 26.0
n1 = 24.0
n2 = 15.0
t0 = n1 * n2
answer = t0 / 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | the length of a rectangle is 18 cm and its breadth is 10 cm . when the length is increased to 25 cm , what will be the breadth of the rectangle if the area remains the same ? | 7.2 | n0 = 18.0
n1 = 10.0
n2 = 25.0
t0 = n0 * n1
answer = t0 / n2
print(answer) | MathQA_Geometry |
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