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 cone of height 9 cm with diameter of its base 18 cm is carved out from a wooden solid sphere of radius 9 cm . the percentage of the wood wasted is : | 75 | import math
n0 = 9.0
n1 = 18.0
n2 = 9.0
t0 = math.pi * n0**2 * n0 / 3
t1 = 4 / 3 * math.pi * n0**3
t2 = t1 - t0
t3 = t2 / t1
answer = t3 * 100.0
print(answer) | MathQA_Geometry |
Geometry | geometry | a polygon has 44 diagonals , then the number of its sides are | 11 | import math
n0 = 44.0
t0 = n0 * 2.0
t1 = 3.0**min(2.0, 5)
t2 = t0 * 4.0
t3 = t2 + t1
t4 = math.sqrt(max(0, t3))
t5 = t4 + 3.0
answer = t5 / 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | the circus sells two kinds of tickets : lower seats for $ 30 and upper seats for $ 20 . on a certain night , the circus sells 80 tickets and gets $ 2100 in revenue from the sales . how many tickets for lower seats did they sell ? | 50 | n0 = 30.0
n1 = 20.0
n2 = 80.0
n3 = 2100.0
t0 = n0 * n2
t1 = n0 - n1
t2 = t0 - n3
t3 = t2 / t1
answer = n2 - t3
print(answer) | MathQA_Geometry |
Geometry | geometry | the height of a triangle is decreased by 5 % and its base increased by 10 % . its area will | 4.5 | n0 = 5.0
n1 = 10.0
t0 = n1 + 100.0
t1 = 100.0 - n0
t2 = t0 * t1
t3 = t2 / 100.0
answer = t3 - 100.0
print(answer) | MathQA_Geometry |
Geometry | geometry | the length of a rectangular plot is 10 mtr more than its width . the cost of fencing the plot along its perimeter at the rate of rs . 6.5 mtr is rs . 2210 . the perimeter of the plot is ? | 340 | n0 = 10.0
n1 = 6.5
n2 = 2210.0
t0 = n2 / n1
t1 = t0 / 2.0
t2 = t1 - n0
t3 = t2 / 2.0
t4 = t3 + n0
t5 = t4 + t3
answer = t5 * 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | carmen made a sculpture from small pieces of wood . the sculpture is 2 feet 10 inches tall . carmen places her sculpture on a base that is 10 inches tall . how tall are the sculpture andbase together ? | 3.666667 | n0 = 2.0
n1 = 10.0
n2 = 10.0
t0 = n0 + n1
t1 = n0 * t0
t2 = t1 + n1
t3 = n2 + t2
answer = t3 / t0
print(answer) | MathQA_Geometry |
Geometry | geometry | tough and tricky questions : number properties . what is the smallest positive integer x such that 1512 x is the cube of a positive integer ? | 49 | n0 = 1512.0
t0 = n0 / 2.0
t1 = t0 / 2.0
t2 = t1 / 2.0
t3 = t2 / 3.0
t4 = t3 / 3.0
t5 = t4 / 3.0
answer = t5**min(2.0, 5)
print(answer) | MathQA_Geometry |
Geometry | geometry | a hall is 6 meters long and 6 meters wide . if the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls , what is the volume of the hall ( in cubic meters ) ? | 108 | n0 = 6.0
n1 = 6.0
t0 = n0 * n1 # area of rectangle
t1 = 2 * (n0 + n1) # perimetere of rectangle
t2 = t0 * 2.0
t3 = t2 / t1
answer = n0 * n1 * t3
print(answer) | MathQA_Geometry |
Geometry | geometry | what is the max number of rectangular boxes , each measuring 4 inches by 6 inches by 10 inches , that can be packed into a rectangular packing box measuring 16 inches by 18 inches by 30 inches , if all boxes are aligned in the same direction ? | 36 | n0 = 4.0
n1 = 6.0
n2 = 10.0
n3 = 16.0
n4 = 18.0
n5 = 30.0
t0 = n3 * n4
t1 = n0 * n1
t2 = n5 * t0
t3 = n2 * t1
answer = t2 / t3
print(answer) | MathQA_Geometry |
Geometry | geometry | the perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm . what is the area of the triangle ? | 35 | n0 = 28.0
n1 = 2.5
answer = n0 * n1 / 2
print(answer) | MathQA_Geometry |
Geometry | geometry | 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 the areas of four walls , the volume of the hall is : | 1,200 | n0 = 15.0
n1 = 12.0
t0 = n0 + n1
t1 = n0 * n1
t2 = t1 * 2.0
t3 = t0 * 2.0
t4 = t2 / t3
answer = t4 * t1
print(answer) | MathQA_Geometry |
Geometry | geometry | the length of the rectangular field is double its width . inside the field there is square shaped pond 4 m long . if the area of the pond is 1 / 8 of the area of the field . what is the length of the field ? | 16 | import math
n0 = 4.0
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 squirrel runs up a cylindrical post , in a perfect spiral path making one circuit for each rise of 4 feet . how many feet does the squirrel travels if the post is 12 feet tall and 3 feet in circumference ? | 9 | n0 = 4.0
n1 = 12.0
n2 = 3.0
t0 = n1 / n0
answer = n2 * t0
print(answer) | MathQA_Geometry |
Geometry | geometry | the diagonals of a rhombus are 22 cm and 30 cm . find its area ? | 330 | n0 = 22.0
n1 = 30.0
answer = n0 * n1 / 2
print(answer) | MathQA_Geometry |
Geometry | geometry | find the circumference and area of radius 13 cm . | 530.929158 | import math
n0 = 13.0
answer = math.pi * n0**2
print(answer) | MathQA_Geometry |
Geometry | geometry | the area of a triangle is with base 4 m and height 8 m ? | 16 | n0 = 4.0
n1 = 8.0
answer = n0 * n1 / 2
print(answer) | MathQA_Geometry |
Geometry | geometry | the volume of a cube is 1000 cc . find its surface . | 600 | n0 = 1000.0
t0 = n0**(1 / 3)
answer = 6 * t0**2 # surface of a cube
print(answer) | MathQA_Geometry |
Geometry | geometry | if the length of the longest chord of a certain circle is 14 , what is the radius of that certain circle ? | 7 | n0 = 14.0
answer = n0 / 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | if the radius of a circle that centers at the origin is 5 , how many w points on the circle have integer coordinates ? | 12 | n0 = 5.0
t0 = n0 + 4.0
t1 = n0 * n0
t2 = 2.0**min(2.0, 5)
t3 = t1 - t0
answer = t3 - t2
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 320 square feet . how many feet offence does frank use ? | 56 | n0 = 40.0
n1 = 320.0
t0 = n1 / n0
t1 = t0 + t0
answer = n0 + t1
print(answer) | MathQA_Geometry |
Geometry | geometry | if the sum of a number and its square is 306 , what is the number ? | 17 | import math
n0 = 306.0
t0 = math.sqrt(max(0, n0))
answer = math.floor(t0)
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 . 57 ? | 3,876 | import math
n0 = 289.0
n1 = 57.0
t0 = math.sqrt(max(0, n0))
t1 = 4 * t0
answer = n1 * t1
print(answer) | MathQA_Geometry |
Geometry | geometry | a volume of 10936 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 ? | 2,734 | n0 = 10936.0
n1 = 4.0
answer = n0 / n1
print(answer) | MathQA_Geometry |
Geometry | geometry | in a new housing development , trees are to be planted along the sidewalk of a certain street . each tree takes up one square foot of sidewalk space , and there are to be 14 feet between each tree . how many trees can be planted if the road is 151 feet long ? | 11 | n0 = 14.0
n1 = 151.0
t0 = n0 + 1.0
t1 = n1 - 1.0
t2 = t1 / t0
answer = t2 + 1.0
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 8 m , the volume of the box ( in m 3 ) is | 5,120 | n0 = 48.0
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 | mr . loyd wants to fence his square shaped land of 150 sqft each side . if a pole is laid every 30 ft how many poles do he need ? | 30 | n0 = 150.0
n1 = 30.0
t0 = n0 * 4.0
t1 = t0 / 10.0
answer = t1 / 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 ?. a . 27.5 % | 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 | two cubes each with side b are joined to form a cuboids . what is the surface area of this cuboids ? | 10 | t0 = 1.0 * 2.0
t1 = 1.0 * 1.0
t2 = t0 * 2.0
t3 = t2 + t1
answer = t3 * 2.0
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 . 54 ? | 3,672 | import math
n0 = 289.0
n1 = 54.0
t0 = math.sqrt(max(0, n0))
t1 = 4 * t0
answer = n1 * t1
print(answer) | MathQA_Geometry |
Geometry | geometry | the parameter of a square is equal to the perimeter of a rectangle of length 20 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 ) | 26.703538 | import math
n0 = 20.0
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 | right triangle abc is to be drawn in the xy - plane so that the right angle is at a and ab is parallel to the y - axis . if the x - and y - coordinates of a , b , and c are to be integers that are consistent with the inequalities - 8 ≤ x ≤ 2 and 4 ≤ y ≤ 9 , then how many different triangles can be drawn that will meet ... | 4,032 | n0 = 8.0
n1 = 2.0
n2 = 4.0
n3 = 9.0
t0 = n0 * n3
t1 = n0 - 1.0
t2 = n0 * t1
answer = t2 * t0
print(answer) | MathQA_Geometry |
Geometry | geometry | a small table has a length of 12 inches and a breadth of b inches . cubes are placed on the surface of the table so as to cover the entire surface . the maximum side of such cubes is found to be 4 inches . also , a few such tables are arranged to form a square . the minimum length of side possible for such a square is ... | 16 | import math
n0 = 12.0
n1 = 4.0
n2 = 80.0
t0 = n2 / n1
t1 = n0**min(2.0, 5)
t2 = t0**min(2.0, 5)
t3 = t2 - t1
answer = math.sqrt(max(0, t3))
print(answer) | MathQA_Geometry |
Geometry | geometry | if the length of a rectangle is increased by 20 % and the breadth is reduced by 20 % , what will be the effect on its area ? | 4 | n0 = 20.0
n1 = 20.0
t0 = n0 / 100.0
t1 = t0 + 1.0
t2 = 1.0 - t0
t3 = t1 * t2
t4 = 1.0 - t3
answer = t4 * 100.0
print(answer) | MathQA_Geometry |
Geometry | geometry | the area of a parallelogram is 72 cm ^ 2 and its altitude is twice the corresponding base . what is the length of the base ? | 6 | import math
n0 = 72.0
n1 = 2.0
t0 = n0 / 2.0
answer = math.sqrt(max(0, t0))
print(answer) | MathQA_Geometry |
Geometry | geometry | the cube root of . 000216 is : | 0.06 | n0 = 216.0
t0 = n0 / 1000.0
t1 = 1.0 / 3.0
t2 = t0 / 1000.0
answer = t2**min(t1, 5)
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 181 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... | 8,281 | n0 = 1.0
n1 = 181.0
t0 = 0.25 + 0.25
t1 = n1 / 2.0
t2 = t0 + t1
answer = t2**min(2.0, 5)
print(answer) | MathQA_Geometry |
Geometry | geometry | the length of a rectangle is two - fifths of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 1225 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 10 units ? | 140 | import math
n0 = 1225.0
n1 = 10.0
t0 = 10.0 / 2.0
t1 = math.sqrt(max(0, n0))
t2 = t1 / t0
t3 = t2 * 2.0
answer = n1 * t3
print(answer) | MathQA_Geometry |
Geometry | geometry | the length of a rectangle is double its width . if the length is diminished by 5 cm and the width is increased by 5 cm then its area is increased by 75 cm square . what is the length of the rectangle ? | 40 | n0 = 5.0
n1 = 5.0
n2 = 75.0
t0 = n0 * n0
t1 = n2 + t0
t2 = t1 / n0
answer = t2 * 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | the content of several smaller cylinders ( 3 meter diameter and 6 meter height ) were to be emptied into a larger cylinder ( 20 meter diameter and 10 meter height ) , how many smaller cylinders will fill up the larger cylinder ? | 74.074074 | import math
n0 = 3.0
n1 = 6.0
n2 = 20.0
n3 = 10.0
t0 = n2 / 2.0
t1 = n0 / 2.0
t2 = math.pi * t0**2 * n3
t3 = math.pi * t1**2 * n1
answer = t2 / t3
print(answer) | MathQA_Geometry |
Geometry | geometry | a full stationary oil tank that is a right circular cylinder has a radius of 100 feet and a height of 25 feet . oil is pumped from the stationary tank to an oil truck that has a tank that is a right circular cylinder until the truck ' s tank is completely filled . if the truck ' s tank has a radius of 8 feet and a heig... | 0.064 | import math
n0 = 100.0
n1 = 25.0
n2 = 8.0
n3 = 10.0
t0 = math.pi * n0**2
t1 = math.pi * n2**2 * n3
answer = t1 / t0
print(answer) | MathQA_Geometry |
Geometry | geometry | if the sum of a number and its square is 132 , then what is the number ? | 11 | import math
n0 = 132.0
t0 = math.sqrt(max(0, n0))
answer = math.floor(t0)
print(answer) | MathQA_Geometry |
Geometry | geometry | a circular ground whose radius is 15 metres , has a 1.2 metre - broad garden around it . what is the area of the garden in square metres ? | 117.621229 | import math
n0 = 15.0
n1 = 1.2
t0 = n0 + n1
t1 = math.pi * n0**2
t2 = math.pi * t0**2
answer = t2 - t1
print(answer) | MathQA_Geometry |
Geometry | geometry | the monthly rent of a shop of dimension 20 feet × 15 feet is rs . 3600 . what is the annual rent per square foot of the shop ? | 144 | n0 = 20.0
n1 = 15.0
n2 = 3600.0
t0 = 10.0 + 2.0
t1 = n0 * n1 # area of rectangle
t2 = n2 / t1
answer = t0 * t2
print(answer) | MathQA_Geometry |
Geometry | geometry | the perimeter of a triangle is 35 cm and the inradius of the triangle is 4.5 cm . what is the area of the triangle ? | 78.75 | n0 = 35.0
n1 = 4.5
answer = n0 * n1 / 2
print(answer) | MathQA_Geometry |
Geometry | geometry | a lady builds 8 cm length , 15 cm width , and 5 cm height box using 10 cubic cm cubes . what is the minimum number of cubes required to build the box ? | 60 | n0 = 8.0
n1 = 15.0
n2 = 5.0
n3 = 10.0
t0 = n0 * n1
t1 = n2 * t0
answer = t1 / n3
print(answer) | MathQA_Geometry |
Geometry | geometry | right triangle abc is the base of the prism in the figure above . if ab = ac = √ 2 and the height of the prism is 3 , what is the volume of the prism ? | 3 | import math
n0 = 2.0
n1 = 3.0
t0 = math.sqrt(max(0, n0))
t1 = n1 * t0 * t0
answer = t1 / 2.0
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 . 23 small cubes are found with no paints on them . how many of unit cubes have at least one face that is painted red ? | 102 | n0 = 23.0
t0 = 1.0 + 3.0
t1 = t0 + 1.0
t2 = t1**min(3.0, 5)
answer = t2 - n0
print(answer) | MathQA_Geometry |
Geometry | geometry | some students are standing in a circle in which 6 th and the 16 th student are standing opposite to each other . find how many students were present there . | 20 | n0 = 6.0
n1 = 16.0
t0 = n1 - n0
answer = t0 * 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | a squirrel runs up a cylindrical post , in a perfect spiral path making one circuit for each rise of 4 feet . how many feet does the squirrel travels if the post is 16 feet tall and 2 feet in circumference ? | 8 | n0 = 4.0
n1 = 16.0
n2 = 2.0
t0 = n1 / n0
answer = n2 * t0
print(answer) | MathQA_Geometry |
Geometry | geometry | the perimeter 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 | import math
n0 = 18.0
n1 = 14.0
t0 = n0 + n1
t1 = t0 * 2.0
t2 = t1 / 4.0
t3 = t2 / 2.0
t4 = 2 * math.pi * t3
t5 = t4 / 2.0
answer = math.floor(t5)
print(answer) | MathQA_Geometry |
Geometry | geometry | the pressure someone experiences as he or she dives deeper and deeper in the ocean increases linearly . on the surface , the pressure is close to 15 pounds per square inch . 33 feet below the surface , the pressure is 30 pounds . if 25000 pounds per sq inch can crush your bones , what depth is extremely dangerous for h... | 54,967 | n0 = 15.0
n1 = 33.0
n2 = 30.0
n3 = 25000.0
t0 = 3.0 * 4.0
t1 = n3 - n0
t2 = n2 - n0
t3 = n1 * t0
t4 = t2 / t3
t5 = t1 / t4
answer = t5 / t0
print(answer) | MathQA_Geometry |
Geometry | geometry | in a new housing development , trees are to be planted along the sidewalk of a certain street . each tree takes up one square foot of sidewalk space , and there are to be 20 feet between each tree . how many trees can be planted if the road is 148 feet long ? | 8 | n0 = 20.0
n1 = 148.0
t0 = n0 + 1.0
t1 = n1 - 1.0
t2 = t1 / t0
answer = t2 + 1.0
print(answer) | MathQA_Geometry |
Geometry | geometry | in a rectangular coordinate system , what is the area of a triangle whose vertices have the coordinates ( 3 , 0 ) , ( 6 , 3 ) , and ( 6 , - 3 ) ? | 9 | n0 = 3.0
n1 = 0.0
n2 = 6.0
n3 = 3.0
n4 = 6.0
n5 = 3.0
answer = n0 * n2 / 2
print(answer) | MathQA_Geometry |
Geometry | geometry | if the sides of a triangle are 30 cm , 28 cm and 14 cm , what is its area ? | 196 | n0 = 30.0
n1 = 28.0
n2 = 14.0
t0 = n1 * n2
answer = t0 / 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | if there is one larger cube with surface area 600 and no . of smaller cubes with surface area 24 . then how many small cubes are required to make a larger cube with surface area of 600 ? | 125 | import math
n0 = 600.0
n1 = 24.0
n2 = 600.0
t0 = n0 / 100.0
t1 = n0 / t0
t2 = n1 / t0
t3 = math.sqrt(max(0, t1))
t4 = math.sqrt(max(0, t2))
t5 = t3 / t4
answer = t5**3
print(answer) | MathQA_Geometry |
Geometry | geometry | oy started cycling along the boundaries of a square field from corner point a . after half an hour he reached the corner point c , diagonally opposite to a . if his speed was 8 km / hr , the area of the filed in square km is ? | 4 | n0 = 8.0
t0 = n0 / 2.0
t1 = t0 / 2.0
answer = t1**min(2.0, 5)
print(answer) | MathQA_Geometry |
Geometry | geometry | in measuring the sides of a rectangle , one side is taken 5 % in excess , and the other 4 % in deficit . find the error percent in the error percent in the area calculated from these measurements . | 0.8 | n0 = 5.0
n1 = 4.0
t0 = n0 * n1
t1 = n0 - n1
t2 = t0 / 100.0
answer = t1 - t2
print(answer) | MathQA_Geometry |
Geometry | geometry | can v and can в are both right circular cylinders . the radius of can v is twice the radius of can b , while the height of can v is half the height of can b . if it costs $ 4.00 to fill half of can b with a certain brand of gasoline , how much would it cost to completely fill can v with the same brand of gasoline ? | 16 | n0 = 4.0
t0 = 2.0**min(4.0, 5)
t1 = 2.0**min(2.0, 5)
t2 = t0 * 2.0
t3 = t1 * 2.0
t4 = t2 * 2.0
t5 = t3 * 4.0
t6 = t5 / 2.0
t7 = t4 / t6
answer = n0 * t7
print(answer) | MathQA_Geometry |
Geometry | geometry | in a certain parallelogram the degree measure of one angle exceeds that of the other by 70 what is the degree measure of the smaller angle ? | 55 | n0 = 70.0
t0 = 3600.0 / 10.0
t1 = n0 * 2.0
t2 = t0 - t1
answer = t2 / 4.0
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 . 58 ? | 3,944 | import math
n0 = 289.0
n1 = 58.0
t0 = math.sqrt(max(0, n0))
t1 = 4 * t0
answer = n1 * t1
print(answer) | MathQA_Geometry |
Geometry | geometry | the length of a rectangle is one - sixth of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 1296 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 10 units ? | 360 | import math
n0 = 1296.0
n1 = 10.0
t0 = math.sqrt(max(0, n0))
answer = n1 * t0
print(answer) | MathQA_Geometry |
Geometry | geometry | the slant height of a cone is 21 cm and radius of the base is 10 cm , find the curved surface of the cone . | 659.734457 | n0 = 21.0
n1 = 10.0
t0 = n1 * 3.141592653589793
answer = n0 * t0
print(answer) | MathQA_Geometry |
Geometry | geometry | huey ' s hip pizza sells two sizes of square pizzas : a small pizza that measures 9 inches on a side and costs $ 10 , and a large pizza that measures 14 inches on a side and costs $ 20 . if two friends go to huey ' s with $ 30 apiece , how many more square inches of pizza can they buy if they pool their money than if t... | 34 | n0 = 9.0
n1 = 10.0
n2 = 14.0
n3 = 20.0
n4 = 30.0
t0 = n2**min(2.0, 5)
t1 = n0**min(2.0, 5)
t2 = t1 + t0
t3 = t0 * 3.0
t4 = t2 + t2
answer = t3 - t4
print(answer) | MathQA_Geometry |
Geometry | geometry | the cost of paint is 60 per kilograme . a kilogram paint covers 20 square feet . how much will it cost to paint the outside of a cube having each side 10 feet ? | 1,800 | n0 = 60.0
n1 = 20.0
n2 = 10.0
t0 = 2.0 * 3.0
t1 = n2**min(2.0, 5)
t2 = t0 * t1
t3 = t2 / n1
answer = n0 * t3
print(answer) | MathQA_Geometry |
Geometry | geometry | in measuring the sides of a rectangle , one side is taken 9 % in excess , and the other 8 % in deficit . find the error percent in the area calculated from these measurements . | 0.28 | n0 = 9.0
n1 = 8.0
t0 = n0 * n1
t1 = n0 - n1
t2 = t0 / 100.0
answer = t1 - t2
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 . 10 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each ? | 9,060 | n0 = 25.0
n1 = 15.0
n2 = 12.0
n3 = 10.0
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 rectangular wall is covered entirely with two kinds of decorative tiles : regular and jumbo . 1 / 3 of the tiles are jumbo tiles , which have a length three times that of regular tiles and have the same ratio of length to width as the regular tiles . if regular tiles cover 90 square feet of the wall , and no tiles ov... | 495 | n0 = 1.0
n1 = 3.0
n2 = 90.0
t0 = n2 * n1
t1 = t0 / 2.0
t2 = n1 * t1
answer = n2 + t2
print(answer) | MathQA_Geometry |
Geometry | geometry | the area of a square is equal to twice the area of a rectangle of dimensions 32 cm * 64 cm . what is the perimeter of the square ? | 256 | n0 = 32.0
n1 = 64.0
answer = 4 * n1
print(answer) | MathQA_Geometry |
Geometry | geometry | the area of a rhombus is equal to the area of a rectangle whose length is 20 cm and the breadth is 10 cm . if one of the diagonals is 32 cm what is the length of other diagonal ? | 12.5 | n0 = 20.0
n1 = 10.0
n2 = 32.0
t0 = n0 * n1 # area of rectangle
t1 = t0 * 2.0
answer = t1 / n2
print(answer) | MathQA_Geometry |
Geometry | geometry | a cheese factory sells its cheese in rectangular blocks . a normal block has a volume of 4 cubic feet . if a large block has twice the width , twice the depth , and twice the length of a normal block , what is the volume of cheese in a large block in cubic feet ? | 32 | n0 = 4.0
t0 = 2.0 * 2.0
t1 = t0 * 2.0
answer = n0 * t1
print(answer) | MathQA_Geometry |
Geometry | geometry | if f is the smallest positive integer such that 3,150 multiplied by f is the square of an integer , then f must be | 14 | n0 = 3150.0
answer = 10.0 + 4.0
print(answer) | MathQA_Geometry |
Geometry | geometry | the surface of a cube is 150 sq cm . find its volume ? | 125 | import math
n0 = 150.0
t0 = 2.0 + 4.0
t1 = n0 / t0
t2 = math.sqrt(max(0, t1))
answer = t2**3
print(answer) | MathQA_Geometry |
Geometry | geometry | in a triangle abc , point d is on side ab and point e is on side ac , such that bced is a trapezium . de : bc = 3 : 5 . calculate the ratio of the area of triangle ade and the trapezium bced . | 0.5625 | n0 = 3.0
n1 = 5.0
t0 = n0**min(2.0, 5)
t1 = n1**min(2.0, 5)
t2 = t1 - t0
answer = t0 / t2
print(answer) | MathQA_Geometry |
Geometry | geometry | the area of a square field is 7201 sq m . how long will a lady take to cross the field diagonally at the rate of 1.2 km / hr ? | 6.000833 | n0 = 7201.0
n1 = 1.2
t0 = n1 * 1000.0
answer = n0 / t0
print(answer) | MathQA_Geometry |
Geometry | geometry | calculate the effect changes in dimension of a rectangle will have on its area , if length is increased by 20 % and its breadth is decreased by 5 % ? | 14 | n0 = 20.0
n1 = 5.0
t0 = n0 + 100.0
t1 = 100.0 * 100.0
t2 = 100.0 - n1
t3 = t0 * t2
t4 = t3 - t1
t5 = t4 / t1
answer = t5 * 100.0
print(answer) | MathQA_Geometry |
Geometry | geometry | there is a rectangular prism made of 1 in cubes that has been covered in tin foil . there are exactly 128 cubes that are not touching any tin foil on any of their sides . if the width of the figure created by these 128 cubes is twice the length and twice the height , what is the p measure in inches of the width of the ... | 10 | n0 = 1.0
n1 = 128.0
n2 = 128.0
t0 = 1 / 3.0
t1 = n0 * 2.0
t2 = n0 * t1
t3 = n1 / t2
t4 = t3**min(t0, 5)
t5 = t1 * t4
answer = t5 + t1
print(answer) | MathQA_Geometry |
Geometry | geometry | what will be the cost of building a fence around a square plot with area equal to 81 sq ft , if the price per foot of building the fence is rs . 58 ? | 2,088 | import math
n0 = 81.0
n1 = 58.0
t0 = math.sqrt(max(0, n0))
t1 = 4 * t0
answer = n1 * t1
print(answer) | MathQA_Geometry |
Geometry | geometry | what is the area of square field whose side of length 15 m ? | 225 | n0 = 15.0
answer = n0**2
print(answer) | MathQA_Geometry |
Geometry | geometry | 108 . triangle a ’ s base is 20 % greater than the base of triangle b , and a ’ s height is 20 % less than the height of triangle b . the area of triangle a is what percent less or more than the area of triangle b ? | 0.25 | n0 = 108.0
n1 = 20.0
n2 = 20.0
t0 = n1 + 100.0
t1 = 100.0 * 100.0
t2 = 100.0 - n1
t3 = t0 * t2
t4 = t1 - t3
answer = 100.0 / t4
print(answer) | MathQA_Geometry |
Geometry | geometry | the area of a parallelogram is 72 sq m and its base is 12 m . then the length of the height is ? | 6 | import math
n0 = 72.0
n1 = 12.0
t0 = n0 / 2.0
answer = math.sqrt(max(0, t0))
print(answer) | MathQA_Geometry |
Geometry | geometry | the cost of the paint is rs . 40 per kg . if 1 kg of paint covers 20 sq . ft , how much will it cost to paint outside of a cube having 30 feet each side | 10,800 | n0 = 40.0
n1 = 1.0
n2 = 20.0
n3 = 30.0
t0 = 6 * n3**2 # surface of a cube
t1 = t0 / n2
answer = n0 * t1
print(answer) | MathQA_Geometry |
Geometry | geometry | in the rectangle below , the line mn cuts the rectangle into two regions . find x the length of segment nb so that the area of the quadrilateral mnbc is 40 % of the total area of the rectangle . | 1.003333 | n0 = 40.0
t0 = n0 / 12.0
t1 = t0 - 0.33
answer = t1 - 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | the length of rectangle is thrice its breadth and its perimeter is 96 m , find the area of the rectangle ? | 432 | n0 = 96.0
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 | a rectangular field is to be fenced on three sides leaving a side of 40 feet uncovered . if the area of the field is 680 sq . ft , how many feet of fencing will be required ? | 74 | n0 = 40.0
n1 = 680.0
t0 = n1 / n0
t1 = t0 * 2.0
answer = n0 + t1
print(answer) | MathQA_Geometry |
Geometry | geometry | if the sides of a triangle are 32 cm , 27 cm and 12 cm , what is its area ? | 162 | n0 = 32.0
n1 = 27.0
n2 = 12.0
t0 = n1 * n2
answer = t0 / 2.0
print(answer) | MathQA_Geometry |
Geometry | geometry | a lady builds 7 cm length , 18 cm width , and 3 cm height box using 9 cubic cm cubes . what is the minimum number of cubes required to build the box ? | 42 | n0 = 7.0
n1 = 18.0
n2 = 3.0
n3 = 9.0
t0 = n0 * n1
t1 = n2 * t0
answer = t1 / n3
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 4 m , the volume of the box ( in m 3 ) is : | 4,480 | n0 = 48.0
n1 = 36.0
n2 = 4.0
n3 = 3.0
t0 = n2 * 2.0
t1 = n0 - t0
t2 = n1 - t0
answer = n2 * t1 * t2
print(answer) | MathQA_Geometry |
Geometry | geometry | if the volume and surface area of a sphere are numerically the same , then its radius is : ? | 3 | t0 = 4.0 / 3.0
t1 = 4.0 * 3.141592653589793
t2 = t0 * 3.141592653589793
t3 = t2 / t1
answer = 1.0 / t3
print(answer) | MathQA_Geometry |
Geometry | geometry | the length of a rectangle is reduced by 15 % . by what % would the width have to be increased to maintain the original area ? | 17.647059 | n0 = 15.0
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 number 90 can be written as the sum of the squares of 4 different positive integers . what is the sum of these 4 integers ? | 16 | n0 = 90.0
n1 = 4.0
n2 = 4.0
t0 = 3.0 + 4.0
t1 = 2.0 + 3.0
t2 = t0 + t1
answer = n1 + t2
print(answer) | MathQA_Geometry |
Geometry | geometry | if paint costs $ 3.10 per quart , and a quart covers 20 square feet , how much will it cost to paint the outside of a cube 10 feet on each edge ? | 93 | n0 = 3.1
n1 = 20.0
n2 = 10.0
t0 = n0 / n1
t1 = 6 * n2**2 # surface of a cube
answer = t0 * t1
print(answer) | MathQA_Geometry |
Geometry | geometry | the parameter of a square is equal to the perimeter of a rectangle of length 40 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 ) ? | 47.12389 | import math
n0 = 40.0
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 | the length of a rectangular field is 7 / 5 its width . if the perimeter of the field is 384 meters , what is the width of the field ? | 80 | n0 = 7.0
n1 = 5.0
n2 = 384.0
t0 = n0 / n1
t1 = t0 + t0
t2 = t1 + 2.0
answer = n2 / t2
print(answer) | MathQA_Geometry |
Geometry | geometry | find the area of a parallelogram with base 21 cm and height 11 cm ? | 231 | n0 = 21.0
n1 = 11.0
answer = n0 * n1
print(answer) | MathQA_Geometry |
Geometry | geometry | the area of a parallelogram is 200 sq m and its altitude is twice the corresponding base . then the length of the base is ? | 10 | import math
n0 = 200.0
t0 = n0 / 2.0
answer = math.sqrt(max(0, t0))
print(answer) | MathQA_Geometry |
Geometry | geometry | the area of a square is 144 m ² . find its perimeter . | 48 | import math
n0 = 144.0
t0 = math.sqrt(max(0, n0))
answer = 4 * t0
print(answer) | MathQA_Geometry |
Geometry | geometry | carmen made a sculpture from small pieces of wood . the sculpture is 2 feet 10 inches tall . carmen places her sculpture on a base that is 8 inches tall . how tall are the sculpture andbase together ? | 3.5 | n0 = 2.0
n1 = 10.0
n2 = 8.0
t0 = n0 + n1
t1 = n0 * t0
t2 = t1 + n1
t3 = n2 + t2
answer = t3 / t0
print(answer) | MathQA_Geometry |
Geometry | geometry | in triangle pqr , the angle q = 90 degree , pq = 5 cm , qr = 8 cm . x is a variable point on pq . the line through x parallel to qr , intersects pr at y and the line through y , parallel to pq , intersects qr at z . find the least possible length of xz | 4 | n0 = 90.0
n1 = 5.0
n2 = 8.0
t0 = n1 * n2
answer = t0 / 10.0
print(answer) | MathQA_Geometry |
Geometry | geometry | the breadth of a rectangular hall is two - thirds of its length . if the area of the hall is 2400 sq metres , what is the length in metres ? | 60 | import math
n0 = 2400.0
t0 = 2.0 / 3.0
t1 = n0 / t0
answer = math.sqrt(max(0, t1))
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 = 3 / 5 , what is the ratio of rectangle a ’ s area to rectangle b ’ s area ? | 0.36 | n0 = 3.0
n1 = 5.0
t0 = n0**min(2.0, 5)
t1 = n1**min(2.0, 5)
answer = t0 / t1
print(answer) | MathQA_Geometry |
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