{"category":"Geometry","subcategory":"geometry","question":"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 . 59 ?","answer":4012.0,"reasoning":"import math\nn0 = 289.0\nn1 = 59.0\nt0 = math.sqrt(max(0, n0))\nt1 = 4 * t0\nanswer = n1 * t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the ratio between the perimeter and the width of a rectangle is 5 : 1 . if the area of the rectangle is 150 sq . cm , what is the length of the rectangle ?","answer":15.0,"reasoning":"n0 = 5.0\nn1 = 1.0\nn2 = 150.0\n\nanswer = n2 \/ 10.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the sides of a rectangle are in the ratio 4 : 3 and its area is 972 sq . m find the perimeter of rectangle","answer":126.0,"reasoning":"import math\nn0 = 4.0\nn1 = 3.0\nn2 = 972.0\nt0 = n0 * n1\nt1 = n2 \/ t0\nt2 = math.sqrt(max(0, t1))\nt3 = n0 * t2\nt4 = n1 * t2\nanswer = 2 * (t3 + t4)  # perimetere of rectangle\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a tailor trims 6 feet from opposite edges of a square piece of cloth , and 5 feet from the other two edges . if 120 square feet of cloth remain , what was the length of a side of the original piece of cloth ?","answer":22.0,"reasoning":"import math\nn0 = 6.0\nn1 = 5.0\nn2 = 120.0\nt0 = n0 * 2.0\nt1 = n1 * 2.0\nt2 = t0 + t1\nt3 = t1 * t0\nt4 = t2**min(2.0, 5)\nt5 = n2 - t3\nt6 = t5 * n0\nt7 = t6 + t4\nt8 = math.sqrt(max(0, t7))\nt9 = t2 + t8\nanswer = t9 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a circular mat with diameter 18 inches is placed on a square tabletop , each of whose sides is 24 inches long . which of the following is closest to the fraction of the tabletop covered by the mat ?","answer":0.375,"reasoning":"n0 = 18.0\nn1 = 24.0\nt0 = n0 \/ 2.0\nanswer = t0 \/ n1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the diagonals of a rhombus are 12 cm and 15 cm . find its area ?","answer":90.0,"reasoning":"n0 = 12.0\nn1 = 15.0\n\nanswer = n0 * n1 \/ 2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if n is the smallest integer such that 432 times n is the square of an integer , what is the value of n ?","answer":3.0,"reasoning":"n0 = 432.0\nt0 = n0 \/ 2.0\nt1 = t0 \/ 2.0\nt2 = t1 \/ 2.0\nt3 = t2 \/ 2.0\nt4 = t3 \/ 3.0\nanswer = t4 \/ 3.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"ratio between length and breath of a rectangle is 25 : 16 . the area of the rectangle is same with a square whose side is 200 . find the breadth and length of the rectangle ?","answer":160250.0,"reasoning":"import math\nn0 = 25.0\nn1 = 16.0\nn2 = 200.0\nt0 = n0 * n1\nt1 = n2**2\nt2 = t1 \/ t0\nt3 = math.sqrt(max(0, t2))\nt4 = n1 * t3\nt5 = n0 * t3\nt6 = t4 * 1000.0\nanswer = t6 + t5\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a perfect square is defined as the square of an integer and a perfect cube is defined as the cube of an integer . how many positive integers n are there such that n is less than 100,000 and at the same time n is a perfect square and a perfect cube ?","answer":6.0,"reasoning":"n0 = 100000.0\nt0 = 2.0 + 4.0\nanswer = t0 \/ 1.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"in measuring the sides of a rectangle , one side is taken 12 % in excess and other 5 % in deficit . find the error percentage in the area calculated from these measurements .","answer":6.4,"reasoning":"n0 = 12.0\nn1 = 5.0\nt0 = n0 * n1\nt1 = n0 - n1\nt2 = t0 \/ 100.0\nanswer = t1 - t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the percentage increase in the area of a rectangle , if each of its sides is increased by 20 % is :","answer":44.0,"reasoning":"n0 = 20.0\nt0 = n0 + 100.0\nt1 = t0 \/ 100.0\nt2 = t1 * t1\nt3 = t2 - 1.0\nanswer = t3 * 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"find the circumference and area of radius 8 cm .","answer":201.0619298297,"reasoning":"import math\nn0 = 8.0\n\nanswer = math.pi * n0**2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"points a , b , and , c have xy - coordinates ( 2,0 ) , ( 8,12 ) , and ( 14,0 ) , respectively . points x , y , and z have xy - coordinates ( 6,0 ) , ( 8,4 ) , and ( 10,0 ) , respectively . what fraction d of the area of triangle abc is the area of triangle xyz ?","answer":0.1111111111,"reasoning":"n0 = 2.0\nn1 = 0.0\nn2 = 8.0\nn3 = 12.0\nn4 = 14.0\nn5 = 0.0\nn6 = 6.0\nn7 = 0.0\nn8 = 8.0\nn9 = 4.0\nn10 = 10.0\nn11 = 0.0\nt0 = 10.0 + 2.0\nt1 = 4.0**min(2.0, 5)\nt2 = t1 \/ 2.0\nt3 = t0**min(2.0, 5)\nt4 = t3 \/ 2.0\nanswer = t2 \/ t4\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"what is the maximum number q of 27 cubic centimetre cubes that can fit in a rectangular box measuring 8 centimetre x 9 centimetre x 12 centimetre ?","answer":24.0,"reasoning":"n0 = 27.0\nn1 = 8.0\nn2 = 9.0\nn3 = 12.0\nt0 = 2.0 * 3.0\nt1 = n2 * n3 * t0\nanswer = t1 \/ n0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a circle graph shows how the budget of a certain company was spent : 20 percent for transportation , 9 percent for research and development , 5 percent for utilities , 4 percent for equipment , 2 percent for supplies , and the remainder for salaries . if the area of each sector of the graph is proportional to the percent of the budget it represents , how many degrees of the circle are used to represent salaries ?","answer":216.0,"reasoning":"n0 = 20.0\nn1 = 9.0\nn2 = 5.0\nn3 = 4.0\nn4 = 2.0\nt0 = n0 + n1\nt1 = n2 + t0\nt2 = n3 + t1\nt3 = n4 + t2\nt4 = t3 * 360.0\nt5 = t4 \/ 100.0\nanswer = 360.0 - t5\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the diameter of a circle is 4 \/ \u03c0 . find the circumference of the circle .","answer":8.0,"reasoning":"import math\nn0 = 4.0\nt0 = n0 \/ 3.141592653589793\nanswer = 2 * math.pi * t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the length of a rectangular garden is three times its width . if the area of the rectangular garden is 507 square meters , then what is the width of the rectangular garden ?","answer":13.0,"reasoning":"import math\nn0 = 507.0\nt0 = n0 \/ 3.0\nanswer = math.sqrt(max(0, t0))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the diagonals of a rhombus are 15 cm and 17 cm . find its area ?","answer":127.5,"reasoning":"n0 = 15.0\nn1 = 17.0\n\nanswer = n0 * n1 \/ 2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the volume of a cube is 343 cc . find its surface .","answer":294.0,"reasoning":"n0 = 343.0\nt0 = n0**(1 \/ 3)\nanswer = 6 * t0**2  # surface of a cube\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the sides of a triangle are 28 cm , 24 cm and 15 cm , what is its area ?","answer":180.0,"reasoning":"n0 = 28.0\nn1 = 24.0\nn2 = 15.0\nt0 = n1 * n2\nanswer = t0 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the diameter of a cylindrical tin is 10 cm and height is 5 cm . find the volume of the cylinder ?","answer":125.0,"reasoning":"import math\nn0 = 10.0\nn1 = 5.0\nt0 = n0 \/ 2.0\nt1 = math.pi * t0**2 * n1\nanswer = t1 \/ 3.141592653589793\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a rectangular rug with side lengths of 2 feet and 7 feet is placed on a square floor that has an area of 64 square feet . if the surface of the rug does not extend beyond the area of the floor , what fraction of the area of the floor is not covered by the rug ?","answer":0.78125,"reasoning":"n0 = 2.0\nn1 = 7.0\nn2 = 64.0\nt0 = n0 * n1\nt1 = n2 - t0\nanswer = t1 \/ n2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"twenty eight meters of wire is available to fence off a flower bed in the form of a circular sector . what must the radius of the circle in meters be , if we wish to have a flower bed with the greatest possible surface area ?","answer":7.0,"reasoning":"t0 = 10.0 + 4.0\nt1 = t0 * 2.0\nt2 = t1 \/ 2.0\nanswer = t2 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"10 meters of wire is available to fence off a flower bed in the form of a circular sector . what must the radius of the circle in meters be , if we wish to have a flower bed with the greatest possible surface area ?","answer":2.5,"reasoning":"n0 = 10.0\n\nanswer = n0 \/ 4.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"an equilateral triangle and three squares are combined as shown above , forming a shape of area 48 + 4 \u221a 3 . what is the perimeter of the shape formed by the triangle and squares ?","answer":36.0,"reasoning":"n0 = 48.0\nn1 = 4.0\nn2 = 3.0\nt0 = n2**min(2.0, 5)\nanswer = n1 * t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a tailor trims 4 feet from opposite edges of a square piece of cloth , and 3 feet from the other two edges . if 120 square feet of cloth remain , what was the length of a side of the original piece of cloth ?","answer":18.0,"reasoning":"import math\nn0 = 4.0\nn1 = 3.0\nn2 = 120.0\nt0 = n0 * 2.0\nt1 = n1 * 2.0\nt2 = t0 + t1\nt3 = t1 * t0\nt4 = t2**min(2.0, 5)\nt5 = n2 - t3\nt6 = t5 * 4.0\nt7 = t6 + t4\nt8 = math.sqrt(max(0, t7))\nt9 = t2 + t8\nanswer = t9 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 11 inches than that of a rectangular sheet of paper measuring 5.5 inches by 11 inches ?","answer":100.0,"reasoning":"n0 = 11.0\nn1 = 11.0\nn2 = 5.5\nn3 = 11.0\nt0 = n0 * n1  # area of rectangle\nt1 = n0 * n2  # area of rectangle\nt2 = t0 * 2.0\nt3 = t1 * 2.0\nt4 = t2 - t3\nt5 = t4 \/ t0\nanswer = t5 * 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the length of rectangle is three times of its breadth . if the area of rectangle is 6075 sq . m , then calculate the length ?","answer":135.0,"reasoning":"import math\nn0 = 6075.0\nt0 = n0 \/ 3.0\nt1 = math.sqrt(max(0, t0))\nanswer = t1 * 3.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the mass of 1 cubic meter of a substance is 300 kilograms under certain conditions . what is the volume , in cubic centimeters , of 1 gram of this substance under these conditions ? ( 1 kilogram = 1,000 grams and 1 cubic meter = 1 , 000,000 cubic centimeters )","answer":1.3333333333,"reasoning":"n0 = 1.0\nn1 = 300.0\nn2 = 1.0\nn3 = 1.0\nn4 = 1000.0\nn5 = 1.0\nn6 = 1.0\nn7 = 0.0\nt0 = n1 * 1000.0\nt1 = 100.0**min(3.0, 5)\nt2 = t1 \/ t0\nanswer = t2 - 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"in the xy - plane , a triangle has vertices ( 0,0 ) , ( 4,0 ) and ( 4,10 ) . if a point ( a , b ) is selected at random from the triangular region , what is the probability that a - b > 0 ?","answer":0.4,"reasoning":"n0 = 0.0\nn1 = 0.0\nn2 = 4.0\nn3 = 0.0\nn4 = 4.0\nn5 = 10.0\nn6 = 0.0\nt0 = n0 + 10.0\nanswer = 4.0 \/ t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"what is the radius of the incircle of the triangle whose sides measure 5 , 12 and 13 units ?","answer":2.0,"reasoning":"n0 = 5.0\nn1 = 12.0\nn2 = 13.0\nt0 = n0 + n1\nt1 = n0 * n1\nt2 = n2 + t0\nanswer = t1 \/ t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the difference between the length and breadth of a rectangle is 23 m and its perimeter is 226 m , what is its area ?","answer":3060.0,"reasoning":"n0 = 23.0\nn1 = 226.0\nt0 = n0 * 2.0\nt1 = n1 - t0\nt2 = t1 \/ 4.0\nt3 = n0 + t2\nanswer = t3 * t2  # area of rectangle\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"34 . the side surface of a cylinder can is rolled with a rectangular plate . if the height of a cylinder tank is 8 feet and the perimeter of the circular base is 6 feet , what is the diagonal of the rectangular plate ?","answer":10.0,"reasoning":"import math\nn0 = 34.0\nn1 = 8.0\nn2 = 6.0\nt0 = n1**min(2.0, 5)\nt1 = n2**min(2.0, 5)\nt2 = t0 + t1\nanswer = math.sqrt(max(0, t2))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"when a certain perfect square is increased by 148 , the result is another perfect square . what is the value of the original perfect square ?","answer":1296.0,"reasoning":"n0 = 148.0\nt0 = 3.0 * 3.0\nt1 = t0 * 4.0\nanswer = t1 * t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"what is the area of square field whose side of length 17 m ?","answer":289.0,"reasoning":"n0 = 17.0\n\nanswer = n0**2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a rectangular grass field is 75 m * 55 m , it has a path of 2.8 m wide all round it on the outside . find the area of the path and the cost of constructing it at rs . 2 per sq m ?","answer":1518.72,"reasoning":"n0 = 75.0\nn1 = 55.0\nn2 = 2.8\nn3 = 2.0\nt0 = n2 * n3\nt1 = n0 * n1  # area of rectangle\nt2 = n0 + t0\nt3 = n1 + t0\nt4 = t2 * t3  # area of rectangle\nt5 = t4 - t1\nanswer = n3 * t5\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the edge of a cube is 3 a cm . find its surface ?","answer":54.0,"reasoning":"n0 = 3.0\n\nanswer = 6 * n0**2  # surface of a cube\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 80 cm , find the sum of the perimeters of all the triangles .","answer":480.0,"reasoning":"n0 = 2.0\nn1 = 1.0\nn2 = 3.0\nn3 = 2.0\nn4 = 1.0\nn5 = 80.0\nt0 = n5 + n5 + n5  # perimeter of a triangle\nanswer = t0 + t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"rectangular tile each of size 20 cm by 30 cm must be laid horizontally on a rectangular floor of size 100 cm by 150 cm , such that the tiles do not overlap and they are placed with edges jutting against each other on all edges . a tile can be placed in any orientation so long as its edges are parallel to the edges of floor . no tile should overshoot any edge of the floor . the maximum number of tiles that can be accommodated on the floor is :","answer":25.0,"reasoning":"n0 = 20.0\nn1 = 30.0\nn2 = 100.0\nn3 = 150.0\nt0 = n2 * n3\nt1 = n0 * n1\nanswer = t0 \/ t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"in measuring the sides of a rectangle , one side is taken 6 % in excess and other 5 % in deficit . find the error percentage in the area calculated from these measurements .","answer":0.7,"reasoning":"n0 = 6.0\nn1 = 5.0\nt0 = n0 * n1\nt1 = n0 - n1\nt2 = t0 \/ 100.0\nanswer = t1 - t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"in triangle pqr , the angle q = 90 degree , pq = 2 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","answer":1.6,"reasoning":"n0 = 90.0\nn1 = 2.0\nn2 = 8.0\nt0 = n1 * n2\nanswer = t0 \/ 10.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"thin rectangular slab of potato was cut into two pieces for an osmosis lab . one piece is 50 mm greater than the other . if the original uncut slab is 600 mm , what is the length of the other piece of the potato after it is cut .","answer":275.0,"reasoning":"n0 = 50.0\nn1 = 600.0\nt0 = n1 - n0\nanswer = t0 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"in measuring the sides of a rectangle , one side is taken 6 % in excess , and the other 5 % in deficit . find the error percent in the area calculated from these measurements .","answer":0.7,"reasoning":"n0 = 6.0\nn1 = 5.0\nt0 = n0 * n1\nt1 = n0 - n1\nt2 = t0 \/ 100.0\nanswer = t1 - t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of a triangle is with base 4 m and height 6 m ?","answer":12.0,"reasoning":"n0 = 4.0\nn1 = 6.0\n\nanswer = n0 * n1 \/ 2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"what is the perimeter , in meters , of a rectangular garden 24 meters wide that has the same area as a rectangular playground 16 meters long and 12 meters wide ?","answer":64.0,"reasoning":"n0 = 24.0\nn1 = 16.0\nn2 = 12.0\nt0 = n1 * n2  # area of rectangle\nt1 = t0 \/ n0\nanswer = 2 * (n0 + t1)  # perimetere of rectangle\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of a rectangular field is equal to 300 square meters . its perimeter is equal to 70 meters . find the length and width of this rectangle .","answer":15.0,"reasoning":"import math\nn0 = 300.0\nn1 = 70.0\nt0 = n1 \/ 2.0\nt1 = n0 * 4.0\nt2 = t0**min(2.0, 5)\nt3 = t2 - t1\nt4 = math.sqrt(max(0, t3))\nt5 = t0 - t4\nanswer = t5 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the surface area of a sphere is 4 \u03c0 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 t of that hemisphere ?","answer":9.0,"reasoning":"n0 = 4.0\nn1 = 2.0\nn2 = 3.0\nt0 = n2 \/ 3.141592653589793\nt1 = n0 * 3.141592653589793\nt2 = t0 * t1\nt3 = t0 * 3.141592653589793\nt4 = t2 \/ n1\nanswer = t4 + t3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a rectangular grass field is 75 m * 55 m , it has a path of 2.5 m wide all round it on the outside . find the area of the path and the cost of constructing it at rs . 2 per sq m ?","answer":1350.0,"reasoning":"n0 = 75.0\nn1 = 55.0\nn2 = 2.5\nn3 = 2.0\nt0 = n2 * n3\nt1 = n0 * n1  # area of rectangle\nt2 = n0 + t0\nt3 = n1 + t0\nt4 = t2 * t3  # area of rectangle\nt5 = t4 - t1\nanswer = n3 * t5\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a volume of 10976 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 ?","answer":2744.0,"reasoning":"n0 = 10976.0\nn1 = 4.0\n\nanswer = n0 \/ n1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"30 square stone slabs of equal size were needed to cover a floor area of 120 sq . m . find the length of each stone slab ?","answer":200.0,"reasoning":"import math\nn0 = 30.0\nn1 = 120.0\nt0 = n1 \/ n0\nt1 = math.sqrt(max(0, t0))\nanswer = t1 * 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 210 sq . feet , how many feet of fencing will be required ?","answer":41.0,"reasoning":"n0 = 20.0\nn1 = 210.0\nt0 = n1 \/ n0\nt1 = t0 * 2.0\nanswer = n0 + t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the volume of the sphere q is ( 37 \/ 64 ) % less than the volume of sphere p and the volume of sphere r is ( 19 \/ 27 ) % less than that of sphere q . by what is the surface area of sphere r less than the surface area of sphere p ?","answer":75.0,"reasoning":"n0 = 37.0\nn1 = 64.0\nn2 = 19.0\nn3 = 27.0\nt0 = 1.0 \/ 3.0\nt1 = n1**min(t0, 5)\nt2 = n1 \/ t1\nt3 = t2 - t1\nt4 = t3 \/ t2\nanswer = t4 * 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the cost of the paint is rs . 36.50 per kg . if 1 kg of paint covers 16 squares feet , how much will it cost to paint outside of a cube having 8 feet each side ?","answer":876.0,"reasoning":"n0 = 36.5\nn1 = 1.0\nn2 = 16.0\nn3 = 8.0\nt0 = 6 * n3**2  # surface of a cube\nt1 = t0 \/ n2\nanswer = n0 * t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a rectangular field has to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 680 sq . feet , how many feet of fencing will be required ?","answer":88.0,"reasoning":"n0 = 20.0\nn1 = 680.0\nt0 = n1 \/ n0\nt1 = 2 * (n0 + t0)  # perimetere of rectangle\nanswer = t1 - n0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 7 feet and a height of 10 feet , how far ( in feet ) did the oil level drop in the stationary tank ?","answer":0.049,"reasoning":"import math\nn0 = 100.0\nn1 = 25.0\nn2 = 7.0\nn3 = 10.0\nt0 = math.pi * n0**2\nt1 = math.pi * n2**2 * n3\nanswer = t1 \/ t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"in the rectangular coordinate system , points ( 4 , 0 ) and ( \u2013 4 , 0 ) both lie on circle c . what is the maximum possible value of the radius of c","answer":4.0,"reasoning":"import math\nn0 = 4.0\nn1 = 0.0\nn2 = 4.0\nn3 = 0.0\nt0 = n0**min(2.0, 5)\nanswer = math.sqrt(max(0, t0))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the length of a rectangle is 4 times its width . if the width of the rectangle is 5 inches , what is the rectangle ' s area , in square inches ?","answer":100.0,"reasoning":"n0 = 4.0\nn1 = 5.0\nt0 = n0 * n1\nanswer = n1 * t0  # area of rectangle\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a rectangular garden is to be twice as long as it is wide . if 300 yards of fencing , including the gate , will completely enclose the garden , what will be the length of the garden , in yards ?","answer":100.0,"reasoning":"n0 = 300.0\nt0 = 1.0 + 2.0\nt1 = t0 * 2.0\nt2 = n0 \/ t1\nanswer = t2 * 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"right triangle pqr is the base of the prism in the figure above . if pq = pr = \u00e2 \u02c6 \u0161 14 and the height of the prism is 8 , what is the volume of the prism ?","answer":56.0,"reasoning":"import math\nn0 = 14.0\nn1 = 8.0\nt0 = math.sqrt(max(0, n0))\nt1 = t0 * t0 \/ 2\nanswer = n1 * t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a crate measures 6 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 fit in the crate ?","answer":6.0,"reasoning":"n0 = 6.0\nn1 = 8.0\nn2 = 12.0\nt0 = n1 * n2\nt1 = n0 * t0\nt2 = t1 \/ n2\nanswer = t2 \/ n1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the sides of a triangle are in the ratio 5 : 12 : 13 and its perimeter is 300 m , its area is ?","answer":3000.0,"reasoning":"n0 = 5.0\nn1 = 12.0\nn2 = 13.0\nn3 = 300.0\nt0 = n0 + n1\nt1 = n2 + t0\nt2 = n3 \/ t1\nanswer = n3 * t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"can n and can \u0432 are both right circular cylinders . the radius of can n is twice the radius of can b , while the height of can n 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 n with the same brand of gasoline ?","answer":16.0,"reasoning":"n0 = 4.0\nt0 = n0 * 2.0\nt1 = 2.0**min(2.0, 5)\nt2 = t1 \/ 2.0\nanswer = t2 * t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"how many odd numbers between 10 and 1,000 are the squares of integers ?","answer":14.0,"reasoning":"n0 = 10.0\nn1 = 1000.0\n\nanswer = n0 + 4.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the dimensions of a room are 25 feet * 15 feet * 12 feet . what is the cost of white washing the four walls of the room at rs . 2 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each ?","answer":1812.0,"reasoning":"n0 = 25.0\nn1 = 15.0\nn2 = 12.0\nn3 = 2.0\nn4 = 6.0\nn5 = 3.0\nn6 = 4.0\nn7 = 3.0\nt0 = n0 + n1\nt1 = n2 * 2.0\nt2 = n4 * n5\nt3 = n5 * n6\nt4 = t0 * t1\nt5 = n5 * t3\nt6 = t4 - t2\nt7 = t6 - t5\nanswer = n3 * t7\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 45 cm , find the sum of the perimeters of all the triangles .","answer":270.0,"reasoning":"n0 = 2.0\nn1 = 1.0\nn2 = 3.0\nn3 = 2.0\nn4 = 1.0\nn5 = 45.0\nt0 = n5 + n5 + n5  # perimeter of a triangle\nanswer = t0 + t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 50 cm , find the sum of the perimeters of all the triangles .","answer":300.0,"reasoning":"n0 = 2.0\nn1 = 1.0\nn2 = 3.0\nn3 = 2.0\nn4 = 1.0\nn5 = 50.0\nt0 = n5 + n5 + n5  # perimeter of a triangle\nanswer = t0 + t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if a rectangular billboard has an area of 104 square feet and a perimeter of 42 feet , what is the length of each of the shorter sides ?","answer":8.0,"reasoning":"import math\nn0 = 104.0\nn1 = 42.0\nt0 = n1 \/ 2.0\nt1 = n0 * 4.0\nt2 = t0**min(2.0, 5)\nt3 = t2 - t1\nt4 = math.sqrt(max(0, t3))\nt5 = t0 - t4\nanswer = t5 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a circular logo is enlarged to fit the lid of a jar . the new diameter is 60 per cent larger than the original . by what percentage has the area of the logo increased ?","answer":143.36,"reasoning":"n0 = 60.0\nt0 = n0 * 2.0\nt1 = t0 \/ 1000.0\nt2 = t1 + 3.0\nt3 = t2**min(2.0, 5)\nt4 = t3 - 4.0\nt5 = t4 \/ 4.0\nanswer = t5 * 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the length of a rectangle is one fourth of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 784 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 5 units ?","answer":35.0,"reasoning":"import math\nn0 = 784.0\nn1 = 5.0\nt0 = math.sqrt(max(0, n0))\nt1 = t0 \/ 4.0\nanswer = n1 * t1  # area of rectangle\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 :","answer":5120.0,"reasoning":"n0 = 48.0\nn1 = 36.0\nn2 = 8.0\nn3 = 3.0\nt0 = n2 * 2.0\nt1 = n0 - t0\nt2 = n1 - t0\nanswer = n2 * t1 * t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"three table runners have a combined area of 220 square inches . by overlapping the runners to cover 80 % of a table of area 175 square inches , the area that is covered by exactly two layers of runner is 24 square inches . what is the area of the table that is covered with three layers of runner ?","answer":28.0,"reasoning":"n0 = 220.0\nn1 = 80.0\nn2 = 175.0\nn3 = 24.0\nt0 = n1 \/ 100.0\nt1 = n0 - n3\nt2 = n2 * t0\nt3 = t1 - t2\nanswer = t3 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"rectangular floors x and y have equal area . if floor x is 10 feet by 18 feet and floor y is 9 feet wide , what is the length of floor y , in feet ?","answer":20.0,"reasoning":"n0 = 10.0\nn1 = 18.0\nn2 = 9.0\nt0 = n0 * n1  # area of rectangle\nanswer = t0 \/ n2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a triangle has sides 10 , 17 , and 21 . a square is inscribed in the triangle . one side of the square lies on the longest side of the triangle . the other two vertices of the square touch the two shorter sides of the triangle . what is the length of the side of the square ?","answer":5.7931034483,"reasoning":"import math\nn0 = 10.0\nn1 = 17.0\nn2 = 21.0\nt0 = (lambda s, a, b, c: math.sqrt(max(0, s * (s - a) * (s - b) * (s - c))))((n0 + n1 + n2) \/ 2, n0, n1, n2)  # Heron's formula\nt1 = t0 * 2.0\nt2 = t1 \/ n2\nt3 = t2 \/ n2\nt4 = t3 + 1.0\nanswer = t2 \/ t4\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the sum of a number and its square is 210 , what is the number ?","answer":14.0,"reasoning":"import math\nn0 = 210.0\nt0 = math.sqrt(max(0, n0))\nanswer = math.floor(t0)\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a rectangular field is to be fenced on three sides leaving a side of 10 feet uncovered . if the area of the field is 680 sq . ft , how many feet of fencing will be required ?","answer":146.0,"reasoning":"n0 = 10.0\nn1 = 680.0\nt0 = n1 \/ n0\nt1 = t0 * 2.0\nanswer = n0 + t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the length of a rectangular garden is three times its width . if the area of the rectangular garden is 588 square meters , then what is the width of the rectangular garden ?","answer":14.0,"reasoning":"import math\nn0 = 588.0\nt0 = n0 \/ 3.0\nanswer = math.sqrt(max(0, t0))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a rectangular floor that measures 6 meters by 10 meters is to be covered with carpet squares that each measure 2 meters by 2 meters . if the carpet squares cost $ 15 apiece , what is the total cost for the number of carpet squares needed to cover the floor ?","answer":225.0,"reasoning":"n0 = 6.0\nn1 = 10.0\nn2 = 2.0\nn3 = 2.0\nn4 = 15.0\n\nanswer = n4 * n4\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the length of rectangle is thrice its breadth and its perimeter is 56 m , find the area of the rectangle ?","answer":147.0,"reasoning":"n0 = 56.0\nt0 = 2.0 * 3.0\nt1 = 1.0 * 2.0\nt2 = t0 + t1\nt3 = n0 \/ t2\nt4 = t3 * 3.0\nanswer = t3 * t4\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"32 meters of wire is available to fence off a flower bed in the form of a circular sector . what must the radius of the circle in meters be , if we wish to have a flower bed with the greatest possible surface area ?","answer":8.0,"reasoning":"n0 = 32.0\n\nanswer = n0 \/ 4.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the length of a rectangular plot is thrice its breadth . if the area of the rectangular plot is 2028 sq m , then what is the breadth of the rectangular plot ?","answer":26.0,"reasoning":"import math\nn0 = 2028.0\nt0 = n0 \/ 3.0\nanswer = math.sqrt(max(0, t0))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a rectangular grass field is 70 m * 55 m , it has a path of 2.5 m wide all round it on the outside . find the area of the path and the cost of constructing it at rs . 2 per sq m ?","answer":1300.0,"reasoning":"n0 = 70.0\nn1 = 55.0\nn2 = 2.5\nn3 = 2.0\nt0 = n2 * n3\nt1 = n0 * n1  # area of rectangle\nt2 = n0 + t0\nt3 = n1 + t0\nt4 = t2 * t3  # area of rectangle\nt5 = t4 - t1\nanswer = n3 * t5\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of a square garden is q square feet and the perimeter is p feet . if q = 2 p + 20 , what is the perimeter of the garden in feet ?","answer":40.0,"reasoning":"n0 = 2.0\nn1 = 20.0\n\nanswer = n1 * 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if a is the smallest positive integer such that 3150 multiplied by a is the square of an integer , then a must be","answer":14.0,"reasoning":"n0 = 3150.0\nt0 = 1.0 + 4.0\nt1 = t0 * t0\nt2 = n0 \/ t1\nt3 = t2 \/ 2.0\nt4 = t3 \/ 3.0\nt5 = t4 \/ 3.0\nanswer = t5 * 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"what is the % change in the area of a rectangle when its length increases by 30 % and its width decreases by 30 % ?","answer":9.0,"reasoning":"n0 = 30.0\nn1 = 30.0\nt0 = n0 + 100.0\nt1 = 100.0 - n0\nt2 = t0 * t1\nt3 = t2 \/ 100.0\nanswer = 100.0 - t3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"triangle xyz is an isosceles right triangle . if side xy is longer than side yz , and the area of the triangle is 36 , what is the measure of side xy ?","answer":12.0,"reasoning":"import math\nn0 = 36.0\nt0 = math.sqrt(max(0, n0))\nt1 = math.sqrt(max(0, 2.0))\nt2 = t0 * t1\nt3 = t2**min(2.0, 5)\nt4 = t3 + t3\nanswer = math.sqrt(max(0, t4))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the length of a rectangular garden is three times its width . if the area of the rectangular garden is 675 square meters , then what is the width of the rectangular garden ?","answer":15.0,"reasoning":"import math\nn0 = 675.0\nt0 = n0 \/ 3.0\nanswer = math.sqrt(max(0, t0))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the length of each side of an equilateral triangle having an area of 4 \u00e2 \u02c6 \u0161 3 cm 2 is ?","answer":4.0,"reasoning":"import math\nn0 = 4.0\nn1 = 3.0\nn2 = 2.0\nt0 = 1.0 \/ n2\nt1 = math.sqrt(max(0, n1))\nt2 = n0 * t1\nt3 = t0 * t0\nt4 = t3 * t1\nt5 = t2 \/ t4\nanswer = math.sqrt(max(0, t5))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the perimeter of a triangle is 42 cm and the inradius of the triangle is 5.0 cm . what is the area of the triangle ?","answer":105.0,"reasoning":"n0 = 42.0\nn1 = 5.0\n\nanswer = n0 * n1 \/ 2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the area of a square with sides of length 9 centimeters is equal to the area of a rectangle with a width of 3 centimeters , what is the length of the rectangle , in centimeters ?","answer":27.0,"reasoning":"n0 = 9.0\nn1 = 3.0\nt0 = n0**min(2.0, 5)\nanswer = t0 \/ 3.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of rectangular field of length 90 meters and breadth 80 meters is equal to the area of a square plot . what will be the length of the diagonal of the square plot ?","answer":120.0,"reasoning":"import math\nn0 = 90.0\nn1 = 80.0\nt0 = n0 * n1  # area of rectangle\nt1 = math.sqrt(t0)  # square edge given area\nanswer = math.sqrt(t1**2 + t1**2)\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the sides of a square region , measured to the nearest centimeter , are 10 centimeters long . the least possible value of the actual area of the square region is","answer":90.25,"reasoning":"n0 = 10.0\nt0 = n0 - 0.25\nt1 = t0 - 0.25\nanswer = t1**min(2.0, 5)\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a larger cube has 216 cubic inch as a volume and in the cube there are 216 smaller cubes such that their volume is 1 cubic inch . what is the difference between the surface areas \u2019 sum of the 216 smaller cubes and the surface area of the larger cube , in square inch ?","answer":1080.0,"reasoning":"n0 = 216.0\nn1 = 216.0\nn2 = 1.0\nn3 = 216.0\nt0 = n2**(1 \/ 3)\nt1 = n0**(1 \/ 3)\nt2 = 6 * t0**2  # surface of a cube\nt3 = 6 * t1**2  # surface of a cube\nt4 = n0 * t2\nanswer = t4 - t3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"three rugs have a combined area of 200 square meters . by overlapping the rugs to cover floor area of 140 square meters , the area that is covered by exactly two layers of rug is 22 square meters . what is the area that is covered with three layers of rug ?","answer":19.0,"reasoning":"n0 = 200.0\nn1 = 140.0\nn2 = 22.0\nt0 = n0 - n1\nt1 = t0 - n2\nanswer = t1 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if a 7 cm cube is cut into 1 cm cubes , then what is the percentage increase in the surface area of the resulting cubes ?","answer":600.0,"reasoning":"n0 = 7.0\nn1 = 1.0\nt0 = 6 * n1**2  # surface of a cube\nt1 = 6 * n0**2  # surface of a cube\nt2 = t0 * t1\nt3 = t2 \/ t1\nanswer = t3 * 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the base and height of a parallelogram are 12 m and 6 m respectively . then its area is = = = = = = ?","answer":72.0,"reasoning":"n0 = 12.0\nn1 = 6.0\n\nanswer = n0 * n1  # area of rectangle\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the diagonals of a rhombus are 12 cm and 20 cm . find its area ?","answer":120.0,"reasoning":"n0 = 12.0\nn1 = 20.0\n\nanswer = n0 * n1 \/ 2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of an isosceles trapezoid with sides of length 5 and bases of length 11 and 17 is ?","answer":56.0,"reasoning":"n0 = 5.0\nn1 = 11.0\nn2 = 17.0\n\nanswer = 4.0 * (n2 + n1) \/ 2  # quadrilateral area\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"triangle xyz is an isosceles right triangle . if side xy is longer than side yz , and the area of the triangle is 25 , what is the measure of side xy ?","answer":10.0,"reasoning":"import math\nn0 = 25.0\nt0 = math.sqrt(max(0, n0))\nt1 = math.sqrt(max(0, 2.0))\nt2 = t0 * t1\nt3 = t2**min(2.0, 5)\nt4 = t3 + t3\nanswer = math.sqrt(max(0, t4))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"find the area of the quadrilateral of one of its diagonals is 24 cm and its off sets 9 cm and 6 cm ?","answer":180.0,"reasoning":"n0 = 24.0\nn1 = 9.0\nn2 = 6.0\nt0 = n1 + n2\nt1 = 1.0 \/ 2.0\nt2 = t0 * t1\nanswer = n0 * t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a circular well with a diameter of 6 metres , is dug to a depth of 24 metres . what is the volume of the earth dug out ?","answer":678.5840131754,"reasoning":"import math\nn0 = 6.0\nn1 = 24.0\nt0 = n0 \/ 2.0\nanswer = math.pi * t0**2 * n1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the diagonals of a rhombus are 11 cm and 20 cm . find its area ?","answer":110.0,"reasoning":"n0 = 11.0\nn1 = 20.0\n\nanswer = n0 * n1 \/ 2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the volume of a certain substance is always directly proportional to its weight . if 48 cubic inches of the substance weigh 112 ounces , what is the volume , in cubic inches , of 84 ounces of this substance ?","answer":36.0,"reasoning":"n0 = 48.0\nn1 = 112.0\nn2 = 84.0\nt0 = n0 \/ n1\nanswer = n2 * t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 19 inches than that of a rectangular sheet of paper measuring 9.5 inches by 11 inches ?","answer":100.0,"reasoning":"n0 = 11.0\nn1 = 19.0\nn2 = 9.5\nn3 = 11.0\nt0 = n0 * n1  # area of rectangle\nt1 = n0 * n2  # area of rectangle\nt2 = t0 * 2.0\nt3 = t1 * 2.0\nt4 = t2 - t3\nt5 = t4 \/ t0\nanswer = t5 * 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"calculate the effect changes in dimension of a rectangle will have on its area , if length is increased by 40 % and its breadth is decreased by 25 % ?","answer":5.0,"reasoning":"n0 = 40.0\nn1 = 25.0\nt0 = n0 + 100.0\nt1 = 100.0 * 100.0\nt2 = 100.0 - n1\nt3 = t0 * t2\nt4 = t3 - t1\nt5 = t4 \/ t1\nanswer = t5 * 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the sides of a square are multiplied by sqrt ( 5 ) , the area of the original square is how many times as large as the area of the resultant square ?","answer":20.0,"reasoning":"n0 = 5.0\n\nanswer = 4 * n0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the perimeter of an equilateral triangle is 45 . if one of the side is the side of an isoceles triangle of perimeter 40 then what is the lenght of base of isoceles triangle .","answer":10.0,"reasoning":"n0 = 45.0\nn1 = 40.0\nt0 = n0 \/ 3.0\nt1 = n1 - t0\nanswer = t1 - t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of a rectangular field is equal to 50 square meters . its perimeter is equal to 30 meters . find the width of this rectangle .","answer":5.0,"reasoning":"import math\nn0 = 50.0\nn1 = 30.0\nt0 = n1 \/ 2.0\nt1 = n0 * 4.0\nt2 = t0 * t0\nt3 = t2 - t1\nt4 = math.sqrt(max(0, t3))\nt5 = t0 - t4\nanswer = t5 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"three rugs have a combined area of 212 square meters . by overlapping the rugs to cover floor area of 140 square meters , the area that is covered by exactly two layers of rug is 24 square meters . what is the area that is covered with three layers of rug ?","answer":24.0,"reasoning":"n0 = 212.0\nn1 = 140.0\nn2 = 24.0\nt0 = n0 - n1\nt1 = t0 - n2\nanswer = t1 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 13 inches than that of a rectangular sheet of paper measuring 6.5 inches by 11 inches ?","answer":100.0,"reasoning":"n0 = 11.0\nn1 = 13.0\nn2 = 6.5\nn3 = 11.0\nt0 = n0 * n1  # area of rectangle\nt1 = n0 * n2  # area of rectangle\nt2 = t0 * 2.0\nt3 = t1 * 2.0\nt4 = t2 - t3\nt5 = t4 \/ t0\nanswer = t5 * 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"what is the total surface area in square meters of a rectangular solid whose length is 6 meters , width is 5 meters , and depth is 2 meters ?","answer":104.0,"reasoning":"n0 = 6.0\nn1 = 5.0\nn2 = 2.0\n\nanswer = 2 * (n0 * n1 + n0 * n2 + n1 * n2)  # surface of a rectangular prism\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the mass of 1 cubic meter of a substance is 300 kg under certain conditions . what is the volume in cubic centimeters of 1 gram of this substance under these conditions ? ( 1 kg = 1,000 grams and 1 cubic meter = 1 , 000,000 cubic centimeters )","answer":3.3333333333,"reasoning":"n0 = 1.0\nn1 = 300.0\nn2 = 1.0\nn3 = 1.0\nn4 = 1000.0\nn5 = 1.0\nn6 = 1.0\nn7 = 0.0\nt0 = n4 * n4\nt1 = n1 * n4\nanswer = t0 \/ t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the floor of a rectangular room is 17 m long and 12 m wide . the room is surrounded by a veranda of width 2 m on all its sides . the area of the veranda is :","answer":132.0,"reasoning":"n0 = 17.0\nn1 = 12.0\nn2 = 2.0\nt0 = n2 * n2\nt1 = n0 * n1  # area of rectangle\nt2 = n0 + t0\nt3 = n1 + t0\nt4 = t2 * t3  # area of rectangle\nanswer = t4 - t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a volume of 10996 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 ?","answer":2749.0,"reasoning":"n0 = 10996.0\nn1 = 4.0\n\nanswer = n0 \/ n1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a box measuring 30 inches long by 48 inches wide by 12 inches deep is to be filled entirely with identical cubes . no space is to be left unfilled . what is the smallest number of cubes that can accomplish this objective ?","answer":80.0,"reasoning":"n0 = 30.0\nn1 = 48.0\nn2 = 12.0\nt0 = n2 \/ 2.0\nt1 = n0 * n1\nt2 = n2 * t1\nt3 = t0**3\nanswer = t2 \/ t3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the admission charge in a water park is $ 1 by adult and $ 0.75 by child accompanying an adult . how much was there of child with an adult who paid in quite $ 3.25 to have access to the water park ?","answer":3.0,"reasoning":"n0 = 1.0\nn1 = 0.75\nn2 = 3.25\nt0 = n0 * n2\nt1 = t0 * 2.0\nt2 = t1 - 0.25\nt3 = t2 - 0.25\nt4 = n0 + t3\nanswer = t4 - 4.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the edge of a cube is 5 a cm . find its surface ?","answer":150.0,"reasoning":"n0 = 5.0\n\nanswer = 6 * n0**2  # surface of a cube\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a number when divided by 6 leaves a remainder 3 . when the square of the same number is divided by 6 , the remainder is :","answer":3.0,"reasoning":"n0 = 6.0\nn1 = 3.0\nn2 = 6.0\nt0 = n0 * n1\nanswer = t0 \/ n0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"what is the area of square field whose side of length 7 m ?","answer":49.0,"reasoning":"n0 = 7.0\n\nanswer = n0**2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"in how many r ways can 5 people from a group of 6 people be seated around a circular table","answer":144.0,"reasoning":"import math\nn0 = 5.0\nn1 = 6.0\nt0 = n0 - 1.0\nt1 = math.factorial(min(15, int(t0)))\nanswer = n1 * t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of a rectangular plot is 360 square metres . if the length is 25 % less than the breadth , what is the breadth of the plot ?","answer":21.9089023002,"reasoning":"import math\nn0 = 360.0\nn1 = 25.0\nt0 = n1 \/ 100.0\nt1 = 1.0 - t0\nt2 = n0 \/ t1\nanswer = math.sqrt(max(0, t2))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the dimensions of a certain rectangular box are 5 inches by 2 inches by 3 inches , then the face of greatest area is of what area ?","answer":15.0,"reasoning":"n0 = 5.0\nn1 = 2.0\nn2 = 3.0\n\nanswer = n0 * n2  # area of rectangle\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"triangle xyz is an isosceles right triangle . if side xy is longer than side yz , and the area of the triangle is 9 , what is the measure of side xy ?","answer":6.0,"reasoning":"import math\nn0 = 9.0\nt0 = math.sqrt(max(0, n0))\nt1 = math.sqrt(max(0, 2.0))\nt2 = t0 * t1\nt3 = t2**min(2.0, 5)\nt4 = t3 + t3\nanswer = math.sqrt(max(0, t4))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the diagonal of a square is 40 m . the area of the square is :","answer":800.0,"reasoning":"n0 = 40.0\nt0 = n0**min(2.0, 5)\nanswer = t0 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the length of a rectangle is 3 times its width . if the width of the rectangle is 4 inches , what is the rectangle ' s area , in square inches ?","answer":48.0,"reasoning":"n0 = 3.0\nn1 = 4.0\nt0 = n0 * n1\nanswer = n1 * t0  # area of rectangle\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the perimeter of an equilateral triangle is 60 . if one of the sides of the equilateral triangle is the side of an isosceles triangle of perimeter 65 , then how long is the base of isosceles triangle ?","answer":25.0,"reasoning":"n0 = 60.0\nn1 = 65.0\nt0 = n0 \/ 3.0\nt1 = n1 - t0\nanswer = t1 - t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"find the circumference and area of radius 11 cm .","answer":380.1327110844,"reasoning":"import math\nn0 = 11.0\n\nanswer = math.pi * n0**2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the length of a rectangle is twice its breadth . if its lengthis decreased by 5 cm & breadth is increased by 5 cm , the area of the rectangle is increased by 75 sq . cm . what is the length of the rectangle ?","answer":40.0,"reasoning":"n0 = 5.0\nn1 = 5.0\nn2 = 75.0\nt0 = n0 * n0\nt1 = n0 * 2.0\nt2 = n2 + t0\nt3 = t1 - n0\nt4 = t2 \/ t3\nanswer = t4 * 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the sides of a rectangle are increased by 25 % , what is the percentage increase in the area ?","answer":56.25,"reasoning":"n0 = 25.0\nt0 = n0 \/ 100.0\nt1 = t0 + 1.0\nt2 = t1**min(2.0, 5)\nt3 = t2 - 1.0\nanswer = t3 * 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the length of the sides of two cubes are in the ratio 5 : 1 , what is the ratio of their total surface area ?","answer":25.0,"reasoning":"n0 = 5.0\nn1 = 1.0\n\nanswer = n0 * n0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a rectangular parking space is marked out by painting three of its sides . if the length of the unpainted side is 99 feet , and the sum of the lengths of the painted sides is 37 feet , find out the area of the parking space in square feet ?","answer":126.0,"reasoning":"n0 = 99.0\nn1 = 37.0\nt0 = 3.0 * 3.0\nt1 = n1 - t0\nt2 = t1 \/ 2.0\nanswer = t2 * t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"find the volume , curved surface area and the total surface area of a cylinder with diameter of base 7 cm and height 40 cm .","answer":956.6149630181,"reasoning":"n0 = 7.0\nn1 = 40.0\nt0 = n0 \/ 2.0\nt1 = n0 * 3.141592653589793\nt2 = n1 * t1\nt3 = t0**min(2.0, 5)\nt4 = t3 * 3.141592653589793\nt5 = t4 * 2.0\nanswer = t5 + t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the volume of the cube is 729 cm 3 , then the surface area of the cube will be","answer":486.0,"reasoning":"n0 = 729.0\nn1 = 3.0\nt0 = n0**(1 \/ 3)\nanswer = 6 * t0**2  # surface of a cube\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the perimeter of a triangle is 39 cm and the inradius of the triangle is 1.5 cm . what is the area of the triangle ?","answer":29.25,"reasoning":"n0 = 39.0\nn1 = 1.5\n\nanswer = n0 * n1 \/ 2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a steel vessel has a base of length 60 cm and breadth 30 cm . water is poured in the vessel . a cubical steel box having edge of 30 cm is immersed completely in the vessel . how much will the water rise ?","answer":15.0,"reasoning":"n0 = 60.0\nn1 = 30.0\nn2 = 30.0\nt0 = n0 * n1\nt1 = n1**min(3.0, 5)\nanswer = t1 \/ t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"find the area of a parallelogram with base 24 cm and height 10 cm ?","answer":240.0,"reasoning":"n0 = 24.0\nn1 = 10.0\n\nanswer = n0 * n1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the average length of the sides of triangle abc is 12 . what is the perimeter of triangle abc ?","answer":36.0,"reasoning":"n0 = 12.0\n\nanswer = n0 * 3.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a crate measures 2 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 fit in the crate ?","answer":2.0,"reasoning":"n0 = 2.0\nn1 = 8.0\nn2 = 12.0\nt0 = n1 * n2\nt1 = n0 * t0\nt2 = t1 \/ n2\nanswer = t2 \/ n1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the perimeter of one face of a cube is 32 cm . its volume will be :","answer":512.0,"reasoning":"n0 = 32.0\nt0 = n0 \/ 4. # square edge given perimeter\nanswer = t0**3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a certain cube floating in a bucket of water has between 60 and 85 percent of its volume below the surface of the water . if between 9 and 26 cubic centimeters of the cube ' s volume is above the surface of the water , then the length of a side of the cube is approximately","answer":4.0207257586,"reasoning":"n0 = 60.0\nn1 = 85.0\nn2 = 9.0\nn3 = 26.0\nt0 = n3 * 100.0\nt1 = 100.0 - n0\nt2 = t0 \/ t1\nanswer = t2**(1 \/ 3)\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"all the faces of cubes are painted with red colour . it is then cut into 64 equal small cubes . find how many small cubes have no faces coloured ?","answer":8.0,"reasoning":"n0 = 64.0\nt0 = n0 \/ 4.0\nanswer = t0 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 6 m , the volume of the box ( in m 3 ) is :","answer":5184.0,"reasoning":"n0 = 48.0\nn1 = 36.0\nn2 = 6.0\nn3 = 3.0\nt0 = n2 * 2.0\nt1 = n0 - t0\nt2 = n1 - t0\nanswer = n2 * t1 * t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a 6 - meter long wire is cut into two pieces . if the longer piece is then used to form a perimeter of a square , what is the probability that the area of the square will be more than 1 if the original wire was cut at an arbitrary point ?","answer":0.6666666667,"reasoning":"n0 = 6.0\nn1 = 1.0\nt0 = 4 * n1\nanswer = t0 \/ n0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the length of rectangle is thrice its breadth and its perimeter is 48 m , find the area of the rectangle ?","answer":108.0,"reasoning":"n0 = 48.0\nt0 = 2.0 * 3.0\nt1 = 1.0 * 2.0\nt2 = t0 + t1\nt3 = n0 \/ t2\nt4 = t3 * 3.0\nanswer = t3 * t4\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the mass of 1 cubic meter of a substance is 100 kg under certain conditions . what is the volume in cubic centimeters of 1 gram of this substance under these conditions ? ( 1 kg = 1,000 grams and 1 cubic meter = 1 , 000,000 cubic centimeters )","answer":10.0,"reasoning":"n0 = 1.0\nn1 = 100.0\nn2 = 1.0\nn3 = 1.0\nn4 = 1000.0\nn5 = 1.0\nn6 = 1.0\nn7 = 0.0\nt0 = n4 * n4\nt1 = n1 * n4\nanswer = t0 \/ t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"find the circumference and area of radius 6 cm .","answer":113.0973355292,"reasoning":"import math\nn0 = 6.0\n\nanswer = math.pi * n0**2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the length and breadth of a rectangular room are each increased by 1 m , then the area of floor is increased by 21 sq . m . if the length is creased by 1 m and breadth is decreased by 1 m , then the area is decreased by 5 sq . m . the perimeter of the floor is :","answer":40.0,"reasoning":"n0 = 1.0\nn1 = 21.0\nn2 = 1.0\nn3 = 1.0\nn4 = 5.0\nt0 = n1 - n4\nt1 = n1 - n0\nt2 = t0 \/ 2.0\nt3 = t1 - t2\nanswer = 2 * (t2 + t3)  # perimetere of rectangle\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the slant height of a cone is 20 cm and radius of the base is 10 cm , find the curved surface of the cone .","answer":628.318530718,"reasoning":"n0 = 20.0\nn1 = 10.0\nt0 = n1 * 3.141592653589793\nanswer = n0 * t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"find the area of a parallelogram with base 26 cm and height 16 cm ?","answer":416.0,"reasoning":"n0 = 26.0\nn1 = 16.0\n\nanswer = n0 * n1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the length of a rectangle is increased by 45 % and its breadth is decreased by 20 % . what is the effect on its area ?","answer":11600.0,"reasoning":"n0 = 45.0\nn1 = 20.0\nt0 = n0 + 100.0\nt1 = 100.0 - n1\nanswer = t0 * t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a rectangular paper when folded into two congruent parts had a perimeter of 34 cm foer 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 ?","answer":140.0,"reasoning":"n0 = 34.0\nn1 = 38.0\nt0 = 10.0 * 2.0\nt1 = n0 - t0\nanswer = t1 * 10.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"triangle xyz is an isosceles right triangle . if side xy is longer than side yz , and the area of the triangle is 49 , what is the measure of side xy ?","answer":14.0,"reasoning":"import math\nn0 = 49.0\nt0 = math.sqrt(max(0, n0))\nt1 = math.sqrt(max(0, 2.0))\nt2 = t0 * t1\nt3 = t2**min(2.0, 5)\nt4 = t3 + t3\nanswer = math.sqrt(max(0, t4))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"on dividing a number by 5 , we get 3 as remainder . what will be the remainder when the square of this number is divided by 5 ?","answer":4.0,"reasoning":"import math\nn0 = 5.0\nn1 = 3.0\nn2 = 5.0\nt0 = n1**min(2.0, 5)\nt1 = t0 \/ n0\nt2 = math.floor(t1)\nt3 = t1 - t2\nanswer = n0 * t3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 2500 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 10 units ?","answer":200.0,"reasoning":"import math\nn0 = 2500.0\nn1 = 10.0\nt0 = n1 \/ 2.0\nt1 = math.sqrt(max(0, n0))\nt2 = t1 \/ t0\nt3 = t2 * 2.0\nanswer = n1 * t3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the length of a rectangle is 2 cm more than the width of the rectangle . the perimeter of the rectangle is 20 cm . find the length and the width of the rectangle .","answer":6.0,"reasoning":"n0 = 2.0\nn1 = 20.0\nt0 = n1 \/ 2.0\nt1 = t0 - n0\nt2 = t1 \/ 2.0\nanswer = n0 + t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"four equal circles are described about the four corners of a square so that each touches two of the others . if a side of the square is 14 cm , then the area enclosed between the circumferences of the circles is :","answer":42.0619599741,"reasoning":"import math\nn0 = 14.0\nt0 = n0 \/ 2.0\nt1 = n0**2\nt2 = math.pi * t0**2\nanswer = t1 - t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a certain rectangular crate measures 6 feet by 8 feet by 10 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 ?","answer":4.0,"reasoning":"import math\nn0 = 6.0\nn1 = 8.0\nn2 = 10.0\nt0 = n1 \/ 2.0\nt1 = n0 * 3.141592653589793\nt2 = math.pi * t0**2 * n0\nt3 = t2 \/ t1\nanswer = math.sqrt(max(0, t3))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a crate measures 5 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 fit in the crate ?","answer":5.0,"reasoning":"n0 = 5.0\nn1 = 8.0\nn2 = 12.0\nt0 = n1 * n2\nt1 = n0 * t0\nt2 = t1 \/ n2\nanswer = t2 \/ n1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a cube of edge 10 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 ?","answer":3.3333333333,"reasoning":"n0 = 10.0\nn1 = 20.0\nn2 = 15.0\nt0 = n1 * n2\nt1 = n0**3\nanswer = t1 \/ t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"in a company of 200 employees , 120 are females . a total of 100 employees have advanced degrees and the rest have a college degree only . if 40 employees are males with a college degree only , how many employees are females with advanced degrees ?","answer":60.0,"reasoning":"n0 = 200.0\nn1 = 120.0\nn2 = 100.0\nn3 = 40.0\nt0 = n0 - n1\nt1 = t0 - n3\nanswer = n2 - t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of a triangle is with base 8.4 m and height 5.8 m ?","answer":24.36,"reasoning":"n0 = 8.4\nn1 = 5.8\n\nanswer = n0 * n1 \/ 2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 . 4 per sq m ?","answer":5200.0,"reasoning":"n0 = 80.0\nn1 = 60.0\nn2 = 10.0\nn3 = 4.0\nt0 = n0 + n1\nt1 = t0 - n2\nt2 = n2 * t1\nanswer = n3 * t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 70 square feet of the wall , and no tiles overlap , what is the area of the entire wall ?","answer":385.0,"reasoning":"n0 = 1.0\nn1 = 3.0\nn2 = 70.0\nt0 = n2 * n1\nt1 = t0 \/ 2.0\nt2 = n1 * t1\nanswer = n2 + t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 1024 feet squared , what is the difference between the length and the width of the roof ?","answer":48.0,"reasoning":"import math\nn0 = 4.0\nn1 = 1024.0\nt0 = n1 \/ n0\nt1 = math.sqrt(max(0, t0))\nt2 = t1 * n0\nanswer = t2 - t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":") a cube is painted blue on all of its surfaces . it is then cut in to 27 smaller cubes of equal size . find how many smaller cubes have no color ?","answer":1.0,"reasoning":"n0 = 27.0\nt0 = n0 \/ 3.0\nt1 = t0 \/ 3.0\nt2 = t1 - 2.0\nanswer = t2**3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a rectangular lawn of dimensions 80 m * 50 m has two roads each 10 m wide running in the middle of the lawn , one parallel to the length and the other parallel to the breadth . what is the cost of traveling the two roads at rs . 3 per sq m ?","answer":3600.0,"reasoning":"n0 = 80.0\nn1 = 50.0\nn2 = 10.0\nn3 = 3.0\nt0 = n0 + n1\nt1 = t0 - n2\nt2 = n2 * t1\nanswer = n3 * t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"find the area of a parallelogram with base 12 cm and height 8 cm ?","answer":96.0,"reasoning":"n0 = 12.0\nn1 = 8.0\n\nanswer = n0 * n1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"calculate the area of a triangle , if the sides of are 65 cm , 60 cm and 25 cm , what is its area ?","answer":750.0,"reasoning":"n0 = 65.0\nn1 = 60.0\nn2 = 25.0\nt0 = n1 * n2\nanswer = t0 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the length and breadth of a rectangle is increased by 5 % and 15 % respectively . what is the increase in the area ?","answer":20.75,"reasoning":"n0 = 5.0\nn1 = 15.0\nt0 = n0 + 100.0\nt1 = n1 + 100.0\nt2 = 100.0 * 100.0  # area of rectangle\nt3 = t0 * t1  # area of rectangle\nt4 = t3 - t2\nt5 = t4 * 100.0\nanswer = t5 \/ t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"area of square with side x is equal to the area of a triangle with base x . the altitude of the triangle is","answer":2.0,"reasoning":"t0 = 1.0**min(2.0, 5)\nanswer = t0 * 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the sides of the triangle are in the ratio 1 \/ 2 : 1 \/ 3 : 1 \/ 4 and its perimeter is 104 cm . the length of the longest side is ?","answer":48.0,"reasoning":"n0 = 1.0\nn1 = 2.0\nn2 = 1.0\nn3 = 3.0\nn4 = 1.0\nn5 = 4.0\nn6 = 104.0\nt0 = n0 \/ n5\nt1 = n0 \/ n3\nt2 = n0 \/ n1\nt3 = t0 + t1\nt4 = t3 + t2\nt5 = n6 \/ t4\nanswer = t5 * t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"30 square stone slabs of equal size were needed to cover a floor area of 50.7 sq . m . find the length of each stone slab ?","answer":130.0,"reasoning":"import math\nn0 = 30.0\nn1 = 50.7\nt0 = n1 \/ n0\nt1 = math.sqrt(max(0, t0))\nanswer = t1 * 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the perimeter of one face of a cube is 20 cm . its volume will be :","answer":125.0,"reasoning":"n0 = 20.0\nt0 = n0 \/ 4. # square edge given perimeter\nanswer = t0**3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 10 sq . feet , how many feet of fencing will be required ?","answer":21.0,"reasoning":"n0 = 20.0\nn1 = 10.0\nt0 = n1 \/ n0\nt1 = t0 * 2.0\nanswer = n0 + t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a spirit and water solution is sold in a market . the cost per liter of the solution is directly proportional to the part ( fraction ) of spirit ( by volume ) the solution has . a solution of 1 liter of spirit and 1 liter of water costs 60 cents . how many cents does a solution of 1 liter of spirit and 2 liters of water cost ?","answer":60.0,"reasoning":"n0 = 1.0\nn1 = 1.0\nn2 = 60.0\nn3 = 1.0\nn4 = 2.0\nt0 = n0 + n4\nt1 = n0 \/ t0\nt2 = n2 * t1\nanswer = t0 * t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the cube root of what integer power of 2 is closest to 50 ?","answer":17.0,"reasoning":"n0 = 2.0\nn1 = 50.0\nt0 = 4.0 + 4.0\nt1 = n1 \/ n0\nanswer = t1 - t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of a parallelogram is 162 sq m and its altitude is twice the corresponding base . then the length of the base is ?","answer":9.0,"reasoning":"import math\nn0 = 162.0\nt0 = n0 \/ 2.0\nanswer = math.sqrt(max(0, t0))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the radius of a circle decreased by 50 % its area is decreased by :","answer":75.0,"reasoning":"n0 = 50.0\nt0 = n0 \/ 100.0\nt1 = t0**min(2.0, 5)\nt2 = t1 * 100.0\nanswer = 100.0 - t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if a drawing has an outer circle of diameter 30 and an inner circle of diameter 24 , then what fraction of outer circle ' s surface is not covered by the inner circle ?","answer":0.36,"reasoning":"n0 = 30.0\nn1 = 24.0\nt0 = n0 \/ 2.0\nt1 = n1 \/ 2.0\nt2 = t0**min(2.0, 5)\nt3 = t1**min(2.0, 5)\nt4 = t2 * 3.141592653589793\nt5 = t3 * 3.141592653589793\nt6 = t4 - t5\nanswer = t6 \/ t4\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the perimeter of an equilateral triangle is 60 . if one of the sides of the equilateral triangle is the side of an isosceles triangle of perimeter 45 , then how long is the base of isosceles triangle ?","answer":5.0,"reasoning":"n0 = 60.0\nn1 = 45.0\nt0 = n0 \/ 3.0\nt1 = n1 - t0\nanswer = t1 - t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a circle graph shows how the budget of a certain company was spent : 60 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 percent of the budget it represents , how many degrees of the circle are used to represent transportation ?","answer":72.0,"reasoning":"n0 = 60.0\nn1 = 9.0\nn2 = 5.0\nn3 = 4.0\nn4 = 2.0\nt0 = n0 + n1\nt1 = n2 + t0\nt2 = n3 + t1\nt3 = n4 + t2\nt4 = 100.0 - t3\nt5 = t4 * 360.0\nanswer = t5 \/ 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a cubical block of metal weighs 7 pounds . how much will another cube of the same metal weigh if its sides are twice as long ?","answer":56.0,"reasoning":"n0 = 7.0\nt0 = 2.0 * 4.0\nanswer = n0 * t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the length of a certain rectangle is decreased by 4 cm and the width is increased by 3 cm , a square with the same area as the original rectangle would result . find the perimeter of the original rectangle .","answer":50.0,"reasoning":"n0 = 4.0\nn1 = 3.0\nt0 = n0 + n1\nt1 = n0 * n1\nt2 = n1 * t0\nt3 = t2 - t1\nt4 = t0 + t3\nt5 = t4 + t3\nanswer = t5 * 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the perimeter of a triangle is 44 cm and the in radius of the triangle is 2.5 cm . what is the area of the triangle ?","answer":55.0,"reasoning":"n0 = 44.0\nn1 = 2.5\n\nanswer = n0 * n1 \/ 2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 12 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 )","answer":21.9911485751,"reasoning":"import math\nn0 = 16.0\nn1 = 12.0\nt0 = 2 * (n0 + n1)  # perimetere of rectangle\nt1 = t0 \/ 4. # square edge given perimeter\nt2 = t1 \/ 2.0\nt3 = 2 * math.pi * t2\nanswer = t3 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the sides of a triangle are 30 cm , 28 cm and 10 cm , what is its area ?","answer":140.0,"reasoning":"n0 = 30.0\nn1 = 28.0\nn2 = 10.0\nt0 = n1 * n2\nanswer = t0 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"smita was making a cube with dimensions 5 * 5 * 5 using 1 * 1 * 1 cubes . what is the number of cubes needed to make a hollow cube looking of the same shape ?","answer":98.0,"reasoning":"n0 = 5.0\nn1 = 5.0\nn2 = 5.0\nn3 = 1.0\nn4 = 1.0\nn5 = 1.0\nt0 = n0**3\nt1 = 3.0**3\nanswer = t0 - t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if circles x and y have the same area and circle x has a circumference of 20 \u03c0 , half of the radius of circle y is :","answer":5.0,"reasoning":"n0 = 20.0\nt0 = n0 \/ 2.0\nanswer = t0 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the diameter of a cylindrical tin is 4 cm and height is 5 cm . find the volume of the cylinder ?","answer":20.0,"reasoning":"import math\nn0 = 4.0\nn1 = 5.0\nt0 = n0 \/ 2.0\nt1 = math.pi * t0**2 * n1\nanswer = t1 \/ 3.141592653589793\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a triangle and a parallelogram are constructed on the same base such that their areas are equal . if the altitude of the parallelogram is 100 m , then the altitude of the triangle is .","answer":200.0,"reasoning":"n0 = 100.0\n\nanswer = n0 * 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if abc is a quarter circle and a smaller circle is inscribed in it ; if radius of quarter circle is 1.414 units . find the radius of smaller circle","answer":0.586,"reasoning":"n0 = 1.414\n\nanswer = 2.0 - n0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"carol and jordan draw rectangles of equal area . if carol ' s rectangle measures 12 inches by 15 inches and jordan ' s rectangle is 6 inches long , how wide is jordan ' s rectangle , in inches ?","answer":30.0,"reasoning":"n0 = 12.0\nn1 = 15.0\nn2 = 6.0\nt0 = n0 * n1  # area of rectangle\nanswer = t0 \/ n2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the sides of a triangle are 39 cm , 32 cm and 10 cm , what is its area ?","answer":160.0,"reasoning":"n0 = 39.0\nn1 = 32.0\nn2 = 10.0\nt0 = n1 * n2\nanswer = t0 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of a triangle is with base 4 m and height 5 m ?","answer":10.0,"reasoning":"n0 = 4.0\nn1 = 5.0\n\nanswer = n0 * n1 \/ 2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the side length of square b is sqrt ( 3 ) times that of square a , the area of square b is how many times the area of square a ?","answer":3.0,"reasoning":"import math\nn0 = 3.0\nt0 = math.sqrt(max(0, n0))\nanswer = t0**min(2.0, 5)\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of a circle of radius 5 is numerically what percent of its circumference ?","answer":250.0,"reasoning":"import math\nn0 = 5.0\nt0 = math.pi * n0**2\nt1 = 2 * math.pi * n0\nt2 = t0 \/ t1\nanswer = t2 * 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the sides of a triangle are 26 cm , 24 cm and 10 cm , what is its area ?","answer":120.0,"reasoning":"n0 = 26.0\nn1 = 24.0\nn2 = 10.0\nt0 = n1 * n2\nanswer = t0 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"find the area of a parallelogram with base 34 cm and height 18 cm ?","answer":612.0,"reasoning":"n0 = 34.0\nn1 = 18.0\n\nanswer = n0 * n1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"108 . triangle a \u2019 s base is 12 % greater than the base of triangle b , and a \u2019 s height is 12 % less than the height of triangle b . the area of triangle a is what percent less or more than the area of triangle b ?","answer":0.6944444444,"reasoning":"n0 = 108.0\nn1 = 12.0\nn2 = 12.0\nt0 = n1 + 100.0\nt1 = 100.0 * 100.0\nt2 = 100.0 - n1\nt3 = t0 * t2\nt4 = t1 - t3\nanswer = 100.0 \/ t4\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"what will be the percentage increase in the area of the cube ' s surface if each of the cube ' s edges grows by 40 % ?","answer":96.0,"reasoning":"n0 = 40.0\nt0 = n0 \/ 100.0\nt1 = t0 + 1.0\nt2 = t1**min(2.0, 5)\nt3 = t2 - 1.0\nanswer = t3 * 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of a parallelogram is 288 sq m and its altitude is twice the corresponding base . then the length of the base is ?","answer":12.0,"reasoning":"import math\nn0 = 288.0\nt0 = n0 \/ 2.0\nanswer = math.sqrt(max(0, t0))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of a circular field is 13.86 hectares . find the cost of fencing it at the rate of rs . 4.90 per metre .","answer":6466.6987096413,"reasoning":"import math\nn0 = 13.86\nn1 = 4.9\nt0 = n0 \/ 3.141592653589793\nt1 = math.sqrt(max(0, t0))\nt2 = t1 * 100.0\nt3 = 2 * math.pi * t2\nanswer = t3 * n1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the roof of an apartment building is rectangular and its length is 5 times longer than its width . if the area of the roof is 720 feet squared , what is the difference between the length and the width of the roof ?","answer":48.0,"reasoning":"import math\nn0 = 5.0\nn1 = 720.0\nt0 = n1 \/ n0\nt1 = math.sqrt(max(0, t0))\nt2 = t1 * n0\nanswer = t2 - t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 6 cm each . the radius of the sphere is","answer":3.0,"reasoning":"import math\nn0 = 6.0\nt0 = n0 \/ 2.0\nt1 = 4.0 * 3.141592653589793\nt2 = n0 * t0\nt3 = t2 * 3.141592653589793\nt4 = t3 * 2.0\nt5 = t4 \/ t1\nanswer = math.sqrt(max(0, t5))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"in a rectangular coordinate system , what is the area of a rhombus whose vertices have the coordinates ( 0 , 3.5 ) , ( 6 , 0 ) , ( 0 , - 3.5 ) , ( - 6 , 0 ) ?","answer":42.0,"reasoning":"n0 = 0.0\nn1 = 3.5\nn2 = 6.0\nn3 = 0.0\nn4 = 0.0\nn5 = 3.5\nn6 = 6.0\nn7 = 0.0\nt0 = n2 * 2.0\nt1 = n1 * 2.0\nanswer = t0 * t1 \/ 2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a diagonal of a polygon is an segment between two non - adjacent vertices of the polygon . how many diagonals does a regular 30 - sided polygon have ?","answer":405.0,"reasoning":"n0 = 30.0\nt0 = n0 - 3.0\nt1 = n0 * t0\nanswer = t1 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the width of a rectangular hall is \u00bd of its length . if the area of the hall is 128 sq . m , what is the difference between its length and breadth ?","answer":8.0,"reasoning":"import math\nn0 = 128.0\nt0 = 1.0 \/ 2.0\nt1 = n0 \/ t0\nt2 = math.sqrt(max(0, t1))\nanswer = t2 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 . 8 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each ?","answer":7248.0,"reasoning":"n0 = 25.0\nn1 = 15.0\nn2 = 12.0\nn3 = 8.0\nn4 = 6.0\nn5 = 3.0\nn6 = 4.0\nn7 = 3.0\nt0 = n0 + n1\nt1 = n2 * 2.0\nt2 = n4 * 3.0\nt3 = n5 * n6\nt4 = t0 * t1\nt5 = n5 * t3\nt6 = t4 - t2\nt7 = t6 - t5\nanswer = n3 * t7\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"rectangular tile each of size 25 cm by 65 cm must be laid horizontally on a rectangular floor of size 150 cm by 390 cm , such that the tiles do not overlap and they are placed with edges jutting against each other on all edges . a tile can be placed in any orientation so long as its edges are parallel to the edges of floor . no tile should overshoot any edge of the floor . the maximum number of tiles that can be accommodated on the floor is :","answer":36.0,"reasoning":"n0 = 25.0\nn1 = 65.0\nn2 = 150.0\nn3 = 390.0\nt0 = n2 * n3\nt1 = n0 * n1\nanswer = t0 \/ t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"points a , b , and , c have xy - coordinates ( 2,0 ) , ( 8,12 ) , and ( 14,0 ) , respectively . points x , y , and z have xy - coordinates ( 6,0 ) , ( 8,4 ) , and ( 10,0 ) , respectively . what fraction s of the area of triangle abc is the area of triangle xyz ?","answer":0.1111111111,"reasoning":"n0 = 2.0\nn1 = 0.0\nn2 = 8.0\nn3 = 12.0\nn4 = 14.0\nn5 = 0.0\nn6 = 6.0\nn7 = 0.0\nn8 = 8.0\nn9 = 4.0\nn10 = 10.0\nn11 = 0.0\nt0 = 10.0 + 2.0\nt1 = 4.0**min(2.0, 5)\nt2 = t1 \/ 2.0\nt3 = t0**min(2.0, 5)\nt4 = t3 \/ 2.0\nanswer = t2 \/ t4\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a 25 cm wide path is to be made around a circular garden having a diameter of 4 meters . approximate area of the path is square meters is","answer":3.3379421944,"reasoning":"import math\nn0 = 25.0\nn1 = 4.0\nt0 = n1 \/ 2.0\nt1 = n0 \/ 100.0\nt2 = t0 + t1\nt3 = math.pi * t0**2\nt4 = math.pi * t2**2\nanswer = t4 - t3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a sporting good store sells one type of baseball bat and one type of baseball . the cost for 2 bats and 4 balls is $ 220 . the cost for 1 bat and 6 balls is $ 190 , as well . if someone were to buy an equal number of bats and balls , at most how many bats can he purchase if he has a budget of $ 270 for the purchase ?","answer":3.0,"reasoning":"n0 = 2.0\nn1 = 4.0\nn2 = 220.0\nn3 = 1.0\nn4 = 6.0\nn5 = 190.0\nn6 = 270.0\nt0 = n2 \/ n0\nt1 = n5 - t0\nt2 = t1 \/ n1\nt3 = n4 * t2\nt4 = n5 - t3\nt5 = t2 + t4\nanswer = n6 \/ t5\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the sides of a triangle are 26 cm , 25 cm and 10 cm , what is its area ?","answer":125.0,"reasoning":"n0 = 26.0\nn1 = 25.0\nn2 = 10.0\nt0 = n1 * n2\nanswer = t0 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a rectangle has a perimeter of 176 inches . the length of the rectangle is 8 inches more than its width . what is the area of the rectangle ?","answer":1920.0,"reasoning":"n0 = 176.0\nn1 = 8.0\nt0 = n0 \/ 2.0\nt1 = t0 - n1\nt2 = t1 \/ 2.0\nt3 = n1 + t2\nanswer = t3 * t2  # area of rectangle\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a certain rectangular crate measures 8 feet by 12 feet by 14 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 ?","answer":6.0,"reasoning":"import math\nn0 = 8.0\nn1 = 12.0\nn2 = 14.0\nt0 = n1 \/ 2.0\nt1 = n0 * 3.141592653589793\nt2 = math.pi * t0**2 * n0\nt3 = t2 \/ t1\nanswer = math.sqrt(max(0, t3))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a carpenter constructed a rectangular sandbox with a capacity of 10 cubic feet . if the carpenter were to make a similar sandbox twice as long , twice as wide , and twice as high as the first sandbox , what would be the capacity , in cubic feet , of the second sandbox ?","answer":80.0,"reasoning":"n0 = 10.0\nt0 = 2.0**min(3.0, 5)\nanswer = n0 * t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of a base of a cone is 30 cm 2 . if the height of the cone is 6 cm , find its volume ?","answer":60.0,"reasoning":"n0 = 30.0\nn1 = 2.0\nn2 = 6.0\nt0 = n0 * n2\nanswer = t0 \/ 3.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"in a certain parallelogram the degree measure of one angle exceeds that of the other by 40 what is the degree measure of the smaller angle ?","answer":70.0,"reasoning":"n0 = 40.0\nt0 = 3600.0 \/ 10.0\nt1 = n0 * 2.0\nt2 = t0 - t1\nanswer = t2 \/ 4.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of an isosceles trapezoid with sides of length 5 and bases of length 9 and 15 is ?","answer":48.0,"reasoning":"n0 = 5.0\nn1 = 9.0\nn2 = 15.0\n\nanswer = 4.0 * (n2 + n1) \/ 2  # quadrilateral area\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 . 25 small cubes are found with no paints on them . how many of unit cubes have at least one face that is painted red ?","answer":100.0,"reasoning":"n0 = 25.0\nt0 = 1.0 + 3.0\nt1 = t0 + 1.0\nt2 = t1**min(3.0, 5)\nanswer = t2 - n0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"what is the area of a square field whose diagonal of length 28 m ?","answer":392.0,"reasoning":"n0 = 28.0\nt0 = n0**2\nanswer = t0 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the breath of a rectangular landscape is 8 times its length . there is a playground in it whose area is 3200 square mtr & which is 1 \/ 9 rd of the total landscape . what is the breath of the landscape ?","answer":480.0,"reasoning":"import math\nn0 = 8.0\nn1 = 3200.0\nn2 = 1.0\nn3 = 9.0\nt0 = n1 * n3\nt1 = t0 \/ n0\nt2 = math.sqrt(max(0, t1))\nanswer = n0 * t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of a triangle is with base 18 m and height 6 m ?","answer":54.0,"reasoning":"n0 = 18.0\nn1 = 6.0\n\nanswer = n0 * n1 \/ 2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a rectangular lawn of dimensions 90 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 ?","answer":4200.0,"reasoning":"n0 = 90.0\nn1 = 60.0\nn2 = 10.0\nn3 = 3.0\nt0 = n0 + n1\nt1 = t0 - n2\nt2 = n2 * t1\nanswer = n3 * t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the side of a square is increased by 30 % then how much % does its area increases ?","answer":69.0,"reasoning":"n0 = 30.0\nt0 = n0 + 100.0\nt1 = 100.0**2\nt2 = t0**2\nt3 = t2 - t1\nt4 = t3 * 100.0\nanswer = t4 \/ t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"one side of a rectangular field is 15 m and one of its diagonals is 17 m . find the area of the field in meter square","answer":120.0,"reasoning":"import math\nn0 = 15.0\nn1 = 17.0\nt0 = n1**min(2.0, 5)\nt1 = n0**min(2.0, 5)\nt2 = t0 - t1\nt3 = math.sqrt(max(0, t2))\nanswer = n0 * t3  # area of rectangle\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"twenty - one dots are evenly spaced on the circumference of a circle . how many combinations of three dots can we make from these 21 dots that do not form an equilateral triangle ?","answer":1323.0,"reasoning":"n0 = 21.0\nt0 = 3.0 + 4.0\nt1 = n0 - 1.0\nt2 = n0 * t1\nt3 = t1 - 1.0\nt4 = t2 * t3\nt5 = t4 \/ 3.0\nt6 = t5 \/ 2.0\nanswer = t6 - t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"find the area of a rhombus whose side is 25 cm and one of the diagonals is 30 cm ?","answer":600.0,"reasoning":"n0 = 25.0\nn1 = 30.0\nt0 = 10.0 * 2.0\nt1 = t0 * 2.0\nanswer = n1 * t1 \/ 2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"how many diagonals does a polygon with 15 sides have , if one of its vertices does not connect to any diagonal ?","answer":77.0,"reasoning":"n0 = 15.0\nt0 = n0 - 1.0\nt1 = t0 - 3.0\nt2 = t0 * t1\nanswer = t2 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a person jogged 10 times along the perimeter of a rectangular field at the rate of 12 kilometers per hour for 30 minutes . if field has a length that is twice its width , find the area of the field in square meters .","answer":20000.0,"reasoning":"n0 = 10.0\nn1 = 12.0\nn2 = 30.0\nt0 = n1 \/ 2.0\nt1 = t0 \/ n0\nt2 = t1 * 1000.0\nt3 = t2 \/ 2.0\nt4 = t3 \/ 3.0\nt5 = t4 * 2.0\nanswer = t4 * t5  # area of rectangle\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the sides of a triangle are 26 cm , 18 cm and 10 cm , what is its area ?","answer":90.0,"reasoning":"n0 = 26.0\nn1 = 18.0\nn2 = 10.0\nt0 = n1 * n2\nanswer = t0 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a rectangular garden is to be twice as long as it is wide . if 240 yards of fencing , including the gate , will completely enclose the garden , what will be the length of the garden , in yards ?","answer":80.0,"reasoning":"n0 = 240.0\nt0 = 1.0 + 2.0\nt1 = t0 * 2.0\nt2 = n0 \/ t1\nanswer = t2 * 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 . 1430 . the perimeter of the plot is ?","answer":220.0,"reasoning":"n0 = 10.0\nn1 = 6.5\nn2 = 1430.0\nt0 = n2 \/ n1\nt1 = t0 \/ 2.0\nt2 = t1 - n0\nt3 = t2 \/ 2.0\nt4 = t3 + n0\nt5 = t4 + t3\nanswer = t5 * 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"find the area of right angled triangle whose hypotenuse is 15 cm and one of the sides is 12 cm .","answer":54.0,"reasoning":"import math\nn0 = 15.0\nn1 = 12.0\nt0 = n0**min(2.0, 5)\nt1 = n1**min(2.0, 5)\nt2 = t0 - t1\nt3 = math.sqrt(max(0, t2))\nt4 = n1 * t3\nanswer = t4 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a cheese factory sells its cheese in rectangular blocks . a normal block has a volume of three cubic feet . if a large block has twice the width , twice the depth , and three times the length of a normal block , what is the volume of cheese in a large block in cubic feet ?","answer":36.0,"reasoning":"t0 = 2.0 * 2.0\nt1 = t0 * 3.0\nanswer = t1 * 3.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of a rectangle is 460 square metres . if the length is 15 % more than the breadth , what is the breadth of the rectangular field ?","answer":20.0,"reasoning":"import math\nn0 = 460.0\nn1 = 15.0\nt0 = n1 \/ 100.0\nt1 = t0 + 1.0\nt2 = n0 \/ t1\nanswer = math.sqrt(max(0, t2))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 + 52 ) square inches . what is the perimeter of the photograph , in inches ?","answer":10.0,"reasoning":"n0 = 1.0\nn1 = 3.0\nn2 = 52.0\nt0 = n1 * 2.0\nt1 = n0 * 2.0\nt2 = t0**min(2.0, 5)\nt3 = t1**min(2.0, 5)\nt4 = t2 - t3\nt5 = n2 - t4\nanswer = t5 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the volume of a cube is 1728 cc . find its surface ?","answer":864.0,"reasoning":"n0 = 1728.0\nt0 = n0**(1 \/ 3)\nanswer = 6 * t0**2  # surface of a cube\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the sides of a triangle are 26 cm , 24 cm and 20 cm , what is its area ?","answer":240.0,"reasoning":"n0 = 26.0\nn1 = 24.0\nn2 = 20.0\nt0 = n1 * n2\nanswer = t0 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the diagonals of a rhombus are 14 cm and 18 cm . find its area ?","answer":126.0,"reasoning":"n0 = 14.0\nn1 = 18.0\n\nanswer = n0 * n1 \/ 2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"people were sitting in a circle . 7 th one is direct opposite to 18 th one . . then how many were there in that group ?","answer":22.0,"reasoning":"n0 = 7.0\nn1 = 18.0\nt0 = n1 - n0\nanswer = t0 * 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a cubical block of metal weighs 3 pounds . how much will another cube of the same metal weigh if its sides are twice as long ?","answer":24.0,"reasoning":"n0 = 3.0\nt0 = 2.0 * 4.0\nanswer = n0 * t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a cube of edge 15 cm is imersed completely in a rectangular vessel containing water . if the dimensions of the base of vessel are 20 cm * 15 cm , find the rise in waer level .","answer":11.25,"reasoning":"n0 = 15.0\nn1 = 20.0\nn2 = 15.0\nt0 = n0 * n1\nt1 = n0**3\nanswer = t1 \/ t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 the areas of 4 walls , the volume of the hall is :","answer":1200.0,"reasoning":"n0 = 15.0\nn1 = 12.0\nt0 = n1 * 2.0\nt1 = n0 * 2.0\nt2 = n0 * n1  # area of rectangle\nt3 = t0 + t1\nt4 = t2 * 2.0\nt5 = t4 \/ t3\nanswer = n0 * n1 * t5\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 1600 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 10 units ?","answer":160.0,"reasoning":"import math\nn0 = 1600.0\nn1 = 10.0\nt0 = n1 \/ 2.0\nt1 = math.sqrt(max(0, n0))\nt2 = t1 \/ t0\nt3 = t2 * 2.0\nanswer = n1 * t3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a rectangular region has a fence along three sides and a wall along the fourth side . the fenced side opposite the wall is twice the length of each of the other two fenced sides . if the area of the rectangular region is 200 square feet , what is the total length of the fence , in feet ?","answer":40.0,"reasoning":"n0 = 200.0\nt0 = 1.0 + 1.0\nt1 = t0 * 2.0\nt2 = t1 + 1.0\nt3 = t2 * 2.0\nt4 = t3 + t3\nt5 = t2 + t3\nt6 = t4 + t3\nt7 = t5 + t2\nt8 = n0 \/ t7\nanswer = t6 + t8\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"50 square stone slabs of equal size were needed to cover a floor area of 98 sq . m . find the length of each stone slab ?","answer":140.0,"reasoning":"import math\nn0 = 50.0\nn1 = 98.0\nt0 = n1 \/ n0\nt1 = math.sqrt(max(0, t0))\nanswer = t1 * 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"points a , b , and , c have xy - coordinates ( 20 ) , ( 812 ) , and ( 140 ) , respectively . points x , y , and z have xy - coordinates ( 60 ) , ( 84 ) , and ( 100 ) , respectively . what fraction c of the area of triangle abc is the area of triangle xyz ?","answer":0.1111111111,"reasoning":"n0 = 20.0\nn1 = 812.0\nn2 = 140.0\nn3 = 60.0\nn4 = 84.0\nn5 = 100.0\nt0 = 4.0 * 4.0\nt1 = 2.0 * 4.0\nt2 = t0 \/ 2.0\nt3 = n0 - t1\nt4 = t3 \/ 2.0\nt5 = t4 * t3\nanswer = t2 \/ t5\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the roof of an apartment building is rectangular and its length is 3 times longer than its width . if the area of the roof is 768 feet squared , what is the difference between the length and the width of the roof ?","answer":32.0,"reasoning":"import math\nn0 = 3.0\nn1 = 768.0\nt0 = n1 \/ n0\nt1 = math.sqrt(max(0, t0))\nt2 = t1 * n0\nanswer = t2 - t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the circumferences of two circles are 268 meters and 380 meters . find the difference between the areas of the larger and the smaller circles .","answer":5775.4145749187,"reasoning":"import math\nn0 = 268.0\nn1 = 380.0\nt0 = 2.0 * 3.141592653589793\nt1 = n1 \/ t0\nt2 = n0 \/ t0\nt3 = math.pi * t1**2\nt4 = math.pi * t2**2\nanswer = t3 - t4\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"what will be the cost of building a fence around a square plot with area equal to 25 sq ft , if the price per foot of building the fence is rs . 58 ?","answer":1160.0,"reasoning":"import math\nn0 = 25.0\nn1 = 58.0\nt0 = math.sqrt(max(0, n0))\nt1 = 4 * t0\nanswer = n1 * t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the monthly rent of a shop of dimension 18 feet \u00d7 20 feet is rs . 3600 . what is the annual rent per square foot of the shop ?","answer":120.0,"reasoning":"n0 = 18.0\nn1 = 20.0\nn2 = 3600.0\nt0 = 10.0 + 2.0\nt1 = n0 * n1  # area of rectangle\nt2 = n2 \/ t1\nanswer = t0 * t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a rectangular tank needs to be coated with insulation . the tank has dimensions of 4 feet , 5 feet , and 2 feet . each square foot of insulation costs $ 20 . how much will it cost to cover the surface of the tank with insulation ?","answer":1520.0,"reasoning":"n0 = 4.0\nn1 = 5.0\nn2 = 2.0\nn3 = 20.0\nt0 = 2 * (n0 * n1 + n0 * n2 + n1 * n2)  # surface of a rectangular prism\nanswer = n3 * t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a larger cube has 343 cubic inch as a volume and in the cube there are 343 smaller cubes such that their volume is 1 cubic inch . what is the difference between the surface areas \u2019 sum of the 343 smaller cubes and the surface area of the larger cube , in square inch ?","answer":1764.0,"reasoning":"n0 = 343.0\nn1 = 343.0\nn2 = 1.0\nn3 = 343.0\nt0 = n2**(1 \/ 3)\nt1 = n0**(1 \/ 3)\nt2 = 6 * t0**2  # surface of a cube\nt3 = 6 * t1**2  # surface of a cube\nt4 = n0 * t2\nanswer = t4 - t3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"what will be the cost of house to paint which area equal to 484 sq ft , if the price per foot of building is rs . 20","answer":1760.0,"reasoning":"import math\nn0 = 484.0\nn1 = 20.0\nt0 = math.sqrt(max(0, n0))\nt1 = t0 * 4.0\nanswer = n1 * t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the length of a rectangle is increased by 15 % and its breadth is decreased by 20 % . what is the effect on its area ?","answer":9200.0,"reasoning":"n0 = 15.0\nn1 = 20.0\nt0 = n0 + 100.0\nt1 = 100.0 - n1\nanswer = t0 * t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"find the perimeter and area of a square of side 9 cm .","answer":81.0,"reasoning":"n0 = 9.0\n\nanswer = n0**2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the perimeter of \u03b4 acd is 9 + 3 \u221a 3 , what is the perimeter of equilateral triangle \u03b4 abc ?","answer":18.0,"reasoning":"import math\nn0 = 9.0\nn1 = 3.0\nn2 = 3.0\nt0 = n1 * 2.0\nt1 = math.sqrt(max(0, 3.0))\nt2 = 3.0 - t1\nt3 = t0 * t2\nt4 = t3 \/ t2\nanswer = n1 * t4\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a rectangular pig farm has a fence along three sides and a wall along the fourth side . the fenced side opposite the wall is twice the length of each of the other two fenced sides . if the area of the rectangular region is 1250 square feet , what is the total length of the fence , in feet ?","answer":150.0,"reasoning":"import math\nn0 = 1250.0\nt0 = n0 \/ 2.0\nt1 = math.sqrt(max(0, t0))\nt2 = t1 * 2.0\nanswer = 2 * (t2 + t1)  # perimetere of rectangle\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a rectangular courty 3.78 metres long and 5.25 metres wide is to be paved exactly with square tiles , all of the same size . what is the largest size of the tile which could be used for the purpose ?","answer":21.0,"reasoning":"n0 = 3.78\nn1 = 5.25\nt0 = n0 * 100.0\nt1 = t0 \/ 3.0\nt2 = t1 \/ 3.0\nt3 = t2 \/ 3.0\nt4 = t3 \/ 2.0\nanswer = t4 * 3.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a rectangular courtyard 3.78 m lang and 5.25 m broad is to be paved exactly with square tiles , all of the same size . the minimum number of such tiles is :","answer":450.0,"reasoning":"n0 = 3.78\nn1 = 5.25\nt0 = 3.0 + 4.0\nt1 = n0 * 100.0\nt2 = n1 * 100.0\nt3 = t1 * t2\nt4 = t0 * 3.0\nt5 = t4**min(2.0, 5)\nanswer = t3 \/ t5\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the surface of a cube is 54 sq cm . find its volume ?","answer":27.0,"reasoning":"import math\nn0 = 54.0\nt0 = 2.0 + 4.0\nt1 = n0 \/ t0\nt2 = math.sqrt(max(0, t1))\nanswer = t2**3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if each edge of a cube is doubled , then its volume :","answer":8.0,"reasoning":"\nanswer = 2.0**min(3.0, 5)\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a lamp is put on one corner of a square plot of side 50 m . it ' s light reaches 21 m . find the area of that plot that is lit by that lamp ?","answer":346.3605900583,"reasoning":"import math\nn0 = 50.0\nn1 = 21.0\nt0 = math.pi * n1**2\nanswer = t0 \/ 4.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a square mirror has exactly half the area of the rectangular wall on which it is hung . if each side of the mirror is 24 inches and the width of the wall is 42 inches , what is the length of the wall , in inches ?","answer":27.4285714286,"reasoning":"n0 = 24.0\nn1 = 42.0\nt0 = n0**2\nt1 = t0 * 2.0\nanswer = t1 \/ n1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a rectangular field is to be fenced on three sides leaving a side of 30 feet uncovered . if the area of the field is 600 sq . ft , how many feet of fencing will be required ?","answer":70.0,"reasoning":"n0 = 30.0\nn1 = 600.0\nt0 = n1 \/ n0\nt1 = t0 * 2.0\nanswer = n0 + t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"what is the area of square field whose side of length 5 m ?","answer":25.0,"reasoning":"n0 = 5.0\n\nanswer = n0**2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 390 sq . feet , how many feet of fencing will be required ?","answer":59.0,"reasoning":"n0 = 20.0\nn1 = 390.0\nt0 = n1 \/ n0\nt1 = t0 * 2.0\nanswer = n0 + t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"find the area of a rhombus having each side equal to 13 cm and one of whose diagonal is 24 cm .","answer":120.0,"reasoning":"import math\nn0 = 13.0\nn1 = 24.0\nt0 = n1 \/ 2.0\nt1 = n0**min(2.0, 5)\nt2 = t0**min(2.0, 5)\nt3 = t1 - t2\nt4 = math.sqrt(max(0, t3))\nt5 = t4 * 2.0\nanswer = n1 * t5 \/ 2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a rectangular floor is covered by a rug except for a strip 2 meters wide along each of the four edge . if the floor is 10 meters by 8 meters , what is the area of the rug in square meters ?","answer":24.0,"reasoning":"n0 = 2.0\nn1 = 10.0\nn2 = 8.0\nt0 = n0 * 2.0\nt1 = n1 - t0\nt2 = n2 - t0\nanswer = t1 * t2  # area of rectangle\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 5 cm and 4 cm ?","answer":90.0,"reasoning":"n0 = 20.0\nn1 = 5.0\nn2 = 4.0\nt0 = n1 + n2\nt1 = 1.0 \/ 2.0\nt2 = t0 * t1\nanswer = n0 * t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"find the base k of the number system , if ( 524 ) 8 = ( 664 ) k ?","answer":7.0,"reasoning":"import math\nn0 = 524.0\nn1 = 8.0\nn2 = 664.0\nt0 = 10.0 \/ 2.0\nt1 = n1 * 2.0\nt2 = n1**min(2.0, 5)\nt3 = t0 * t2\nt4 = t1 + t3\nt5 = t4 + 4.0\nt6 = 4.0 - t5\nt7 = t6 \/ 3.0\nt8 = t7 \/ 2.0\nt9 = t8 * 4.0\nt10 = 1.0 - t9\nt11 = math.sqrt(max(0, t10))\nt12 = t11 - 1.0\nanswer = t12 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a circle graph shows how the budget of a certain company was spent : 61 percent for salaries , 10 percent for research and development , 6 percent for utilities , 5 percent for equipment , 3 percent for supplies , and the remainder for transportation . if the area of each sector of the graph is proportional to the percent of the budget it represents , how many degrees of the circle are used to represent transportation ?","answer":54.0,"reasoning":"n0 = 61.0\nn1 = 10.0\nn2 = 6.0\nn3 = 5.0\nn4 = 3.0\nt0 = n0 + n1\nt1 = n2 + t0\nt2 = n3 + t1\nt3 = n4 + t2\nt4 = 100.0 - t3\nt5 = t4 * 360.0\nanswer = t5 \/ 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"four horses are tethered at four corners of a square plot of side 63 metres so that they just can not reach one another . the area left ungrazed is :","answer":851.7546894755,"reasoning":"n0 = 63.0\nt0 = n0 \/ 2.0\nt1 = n0 * n0\nt2 = 0.25 * 4.0\nt3 = t2 * 3.141592653589793\nt4 = t0 * t3\nt5 = t0 * t4\nanswer = t1 - t5\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if a 1 mm thick paper is folded so that the area is halved at every fold , then what would be the thickness of the pile after 50 folds ?","answer":1.0,"reasoning":"import math\nn0 = 1.0\nn1 = 50.0\nt0 = n0 * 2.0\nanswer = math.log(max(1e-5, t0), 2)\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if each side of a right triangle is increased by 10 % and the base ( b ) is half of the height , find the percentage change in its area ?","answer":21.0,"reasoning":"n0 = 10.0\nt0 = n0 + 100.0\nt1 = t0 \/ 100.0\nt2 = t1**min(2.0, 5)\nt3 = t2 - 1.0\nanswer = t3 * 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the circumferences of two circles are 264 meters and 704 meters . find the difference between the areas of the larger and the smaller circles ?","answer":33893.63668085,"reasoning":"import math\nn0 = 264.0\nn1 = 704.0\nt0 = 2.0 * 3.141592653589793\nt1 = n1 \/ t0\nt2 = n0 \/ t0\nt3 = math.pi * t1**2\nt4 = math.pi * t2**2\nanswer = t3 - t4\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a rectangular of certain dimensions is chopped off from one corner of a larger rectangle as shown . ab = 8 cm and bc = 4 cm . the perimeter of the figure abcpqra ( in cm ) is :","answer":24.0,"reasoning":"n0 = 8.0\nn1 = 4.0\nt0 = n0 + n1\nanswer = t0 * 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"susan made a block with small cubes of 5 cubic cm volume to make a block 7 small cubes long , 7 small cubes wide and 6 small cubes deep . she realise that she has used more small cubes than she really needed . she realised that she could have glued a fewer number of cubes together ot look like a block with same dimensions , if it were made","answer":194.0,"reasoning":"n0 = 5.0\nn1 = 7.0\nn2 = 7.0\nn3 = 6.0\nt0 = n1 * n1\nt1 = n1 - 2.0\nt2 = n3 - 2.0\nt3 = n3 * t0\nt4 = t1 * t1\nt5 = t4 * t2\nanswer = t3 - t5\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"in a rectangular coordinate system , what is the area of a triangle whose vertices have the coordinates ( - 1 , 0 ) , ( 7 , 4 ) , and ( 7 , - 4 ) ?","answer":32.0,"reasoning":"n0 = 1.0\nn1 = 0.0\nn2 = 7.0\nn3 = 4.0\nn4 = 7.0\nn5 = 4.0\nt0 = n0 + n2\nt1 = n3 * t0 \/ 2\nanswer = t1 * 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a spirit and water solution is sold in a market . the cost per liter of the solution is directly proportional to the part ( fraction ) of spirit ( by volume ) the solution has . a solution of 1 liter of spirit and 1 liter of water costs 50 cents . how many cents does a solution of 1 liter of spirit and 2 liters of water cost ?","answer":50.0,"reasoning":"n0 = 1.0\nn1 = 1.0\nn2 = 50.0\nn3 = 1.0\nn4 = 2.0\nt0 = n0 + n4\nt1 = n0 \/ t0\nt2 = n2 * t1\nanswer = t0 * t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a square is drawn by joining the mid points of the sides of a given square in the same way and this process continues indefinitely . if a side of the first square is 4 cm , determine the sum of the areas all the square .","answer":32.0,"reasoning":"n0 = 4.0\nt0 = 1.0 \/ 2.0\nt1 = n0**min(2.0, 5)\nanswer = t1 \/ t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the slant height of a cone is 15 cm and radius of the base is 3 cm , find the curved surface of the cone ?","answer":141.3716694115,"reasoning":"n0 = 15.0\nn1 = 3.0\nt0 = n1 * 3.141592653589793\nanswer = n0 * t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 50 square feet of the wall , and no tiles overlap , what is the area of the entire wall ?","answer":275.0,"reasoning":"n0 = 1.0\nn1 = 3.0\nn2 = 50.0\nt0 = n2 * n1\nt1 = t0 \/ 2.0\nt2 = n1 * t1\nanswer = n2 + t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"20 business executives and 7 chairmen meet at a conference . if each business executive shakes the hand of every other business executive and every chairman once , and each chairman shakes the hand of each of the business executives but not the other chairmen , how many handshakes would take place ?","answer":330.0,"reasoning":"n0 = 20.0\nn1 = 7.0\nt0 = n0 * n1\nt1 = n0 - 1.0\nt2 = n0 * t1\nt3 = t2 \/ 2.0\nanswer = t3 + t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the percentage increase in the area of a rectangle , if each of its sides is increased by 20 % is ?","answer":44.0,"reasoning":"n0 = 20.0\nt0 = n0 + 100.0\nt1 = t0 \/ 100.0\nt2 = t1 * t1\nt3 = t2 - 1.0\nanswer = t3 * 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a snooker tournament charges $ 45.00 for vip seats and $ 20.00 for general admission ( \u201c regular \u201d seats ) . on a certain night , a total of 320 tickets were sold , for a total cost of $ 7500 . how many fewer tickets were sold that night for vip seats than for general admission seats ?","answer":276.0,"reasoning":"n0 = 45.0\nn1 = 20.0\nn2 = 320.0\nn3 = 7500.0\nt0 = n3 \/ n1\nt1 = n0 \/ n1\nt2 = t0 - n2\nt3 = t1 - 1.0\nt4 = t2 \/ t3\nanswer = n2 - t4\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a rectangular tiled patio is composed of 48 square tiles . the rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles . after the change in layout , the patio will still have 48 tiles , and it will still be rectangular . how many rows are in the tile patio before the change in layout ?","answer":6.0,"reasoning":"import math\nn0 = 48.0\nn1 = 2.0\nn2 = 4.0\nn3 = 48.0\nt0 = n0 * n1\nt1 = -n2\nt2 = n2**min(n1, 5)\nt3 = n2 * t0\nt4 = t3 + t2\nt5 = math.sqrt(max(0, t4))\nt6 = t1 + t5\nt7 = t6 \/ n1\nanswer = n0 \/ t7\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"sand is poured into a box so that the box is being filled at the rate of 4 cubic feet per hour . if the empty rectangular box is 7 feet long , 6 feet wide , and 2 feet deep , approximately how many hours does it take to fill the box ?","answer":21.0,"reasoning":"n0 = 4.0\nn1 = 7.0\nn2 = 6.0\nn3 = 2.0\nt0 = n1 * n2\nt1 = n3 * t0\nanswer = t1 \/ n0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a rectangular field is to be fenced on three sides leaving a side of 30 feet uncovered . if the area of the field is 810 sq . feet , how many feet of fencing will be required ?","answer":84.0,"reasoning":"n0 = 30.0\nn1 = 810.0\nt0 = n1 \/ n0\nt1 = t0 * 2.0\nanswer = n0 + t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a rectangular plot 15 m \u00d7 10 m , has a path of grass outside it . if the area of grassy pathway is 54 m 2 , find the width of the path .","answer":2.0,"reasoning":"import math\nn0 = 15.0\nn1 = 10.0\nn2 = 54.0\nn3 = 2.0\nt0 = 2 * (n0 + n1)  # perimetere of rectangle\nt1 = t0 \/ 4.0\nt2 = t1**min(2.0, 5)\nt3 = n2 + t2\nt4 = math.sqrt(max(0, t3))\nanswer = t4 - t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the slant height of a cone is 10 cm and radius of the base is 5 cm , find the curved surface of the cone .","answer":157.0796326795,"reasoning":"n0 = 10.0\nn1 = 5.0\nt0 = n1 * 3.141592653589793\nanswer = n0 * t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a cylinder with base radius of 8 cm and height of 2 cm is melted to form a cone of height 6 cm . the radius of the cone will be :","answer":8.0,"reasoning":"import math\nn0 = 8.0\nn1 = 2.0\nn2 = 6.0\nt0 = math.pi * n0**2 * n1\nt1 = t0 * 3.0\nt2 = t1 \/ n2\nt3 = t2 \/ 3.141592653589793\nanswer = math.sqrt(max(0, t3))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the weight of a hollow sphere is directly dependent on its surface area . the surface area of a sphere is 4 \u03c0 \u00b7 r ^ 2 , where r is the radius of the sphere . if a hollow sphere of radius 0.15 cm made of a certain metal weighs 8 grams , a hollow sphere of radius 0.3 cm made of the same metal would weigh how many q grams ?","answer":32.0,"reasoning":"n0 = 4.0\nn1 = 2.0\nn2 = 0.15\nn3 = 8.0\nn4 = 0.3\n\nanswer = n0 * n3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the second angle of a triangle is double the first ( 110 ) . the third angle is 40 less than the first ( 15 ) . find the first angle .","answer":55.0,"reasoning":"n0 = 110.0\nn1 = 40.0\nn2 = 15.0\n\nanswer = n1 + n2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the length , breadth and the height of a cuboid are in the ratio 6 : 5 : 4 and if the total surface area is 33300 cm 2 cm 2 , then the length , breadth and height in cms , are respectively .","answer":90.0,"reasoning":"import math\nn0 = 6.0\nn1 = 5.0\nn2 = 4.0\nn3 = 33300.0\nn4 = 2.0\nn5 = 2.0\nt0 = n0 * n1\nt1 = n1 * n2\nt2 = n0 * n2\nt3 = t0 + t1\nt4 = t3 + t2\nt5 = t4 * 2.0\nt6 = n3 \/ t5\nt7 = math.sqrt(max(0, t6))\nanswer = n0 * t7\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"what is the perimeter of an isosceles right angled triangle . the area of the isosceles right angled triangle is 50 .","answer":34.1421356237,"reasoning":"import math\nn0 = 50.0\nt0 = n0 * 2.0\nt1 = math.sqrt(max(0, 2.0))\nt2 = math.sqrt(max(0, t0))\nt3 = t2 * t1\nanswer = t3 + t2 + t2  # perimeter of a triangle\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of a triangle is with base 3 m and height 6 m ?","answer":9.0,"reasoning":"n0 = 3.0\nn1 = 6.0\n\nanswer = n0 * n1 \/ 2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the volume of a cube is 1728 cc . find its surface .","answer":864.0,"reasoning":"n0 = 1728.0\nt0 = n0**(1 \/ 3)\nanswer = 6 * t0**2  # surface of a cube\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if a rectangular billboard has an area of 120 square feet and a perimeter of 46 feet , what is the length of each of the shorter sides ?","answer":8.0,"reasoning":"import math\nn0 = 120.0\nn1 = 46.0\nt0 = n1 \/ 2.0\nt1 = n0 * 4.0\nt2 = t0**min(2.0, 5)\nt3 = t2 - t1\nt4 = math.sqrt(max(0, t3))\nt5 = t0 - t4\nanswer = t5 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the length of rectangle is thrice its breadth and its perimeter is 88 m , find the area of the rectangle ?","answer":363.0,"reasoning":"n0 = 88.0\nt0 = 2.0 * 3.0\nt1 = 1.0 * 2.0\nt2 = t0 + t1\nt3 = n0 \/ t2\nt4 = t3 * 3.0\nanswer = t3 * t4\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the measure of the side of a square is quadrupled . if x represents the perimeter of the original square , what is the value of the new perimeter ?","answer":4.0,"reasoning":"\nanswer = 1.0 * 4.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the length of a rectangle is halved , while its breadth is tripled . wat isthe % change in area ?","answer":50.0,"reasoning":"t0 = 1.0 \/ 2.0\nt1 = t0 * 3.0\nt2 = t1 - 1.0\nt3 = t2 \/ 1.0\nanswer = t3 * 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the length of a rectangle is two - seventh of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 5929 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 25 units ?","answer":550.0,"reasoning":"import math\nn0 = 5929.0\nn1 = 25.0\nt0 = 3.0 + 4.0\nt1 = math.sqrt(max(0, n0))\nt2 = 2.0 \/ t0\nt3 = t2 * t1\nanswer = n1 * t3  # area of rectangle\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a rectangle a has an area of 30 square centimeters . square b has a perimeter of 16 centimeters . if square b is placed within square a and a random point is chosen within square a , what is the probability the point is not within square b ?","answer":0.4666666667,"reasoning":"n0 = 30.0\nn1 = 16.0\nt0 = n1 \/ 4. # square edge given perimeter\nt1 = t0**2\nt2 = n0 - t1\nanswer = t2 \/ n0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the sides of a triangle are 65 cm , 60 cm and 25 cm , what is its area ?","answer":750.0,"reasoning":"n0 = 65.0\nn1 = 60.0\nn2 = 25.0\nt0 = n1 * n2\nanswer = t0 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"three rugs have a combined area of 200 square meters . by overlapping the rugs to cover floor area of 138 square meters , the area that is covered by exactly two layers of rug is 24 square meters . what is the area that is covered with three layers of rug ?","answer":19.0,"reasoning":"n0 = 200.0\nn1 = 138.0\nn2 = 24.0\nt0 = n0 - n1\nt1 = t0 - n2\nanswer = t1 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the diagonal of a rhombus are 25 m and 50 m . its area is :","answer":625.0,"reasoning":"n0 = 25.0\nn1 = 50.0\n\nanswer = n0 * n1 \/ 2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"in a rectangular coordinate system , what is the area of a rhombus whose vertices have the coordinates ( 0 , 4.5 ) , ( 8 , 0 ) , ( 0 , - 4.5 ) , ( - 8 , 0 ) ?","answer":72.0,"reasoning":"n0 = 0.0\nn1 = 4.5\nn2 = 8.0\nn3 = 0.0\nn4 = 0.0\nn5 = 4.5\nn6 = 8.0\nn7 = 0.0\nt0 = n2 * 2.0\nt1 = n1 * 2.0\nanswer = t0 * t1 \/ 2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the parameter of a square is equal to the perimeter of a rectangle of length 18 cm and breadth 14 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places )","answer":25.1327412287,"reasoning":"import math\nn0 = 18.0\nn1 = 14.0\nt0 = 2 * (n0 + n1)  # perimetere of rectangle\nt1 = t0 \/ 4. # square edge given perimeter\nt2 = t1 \/ 2.0\nt3 = 2 * math.pi * t2\nanswer = t3 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"find the area of a parallelogram with base 24 cm and height 16 cm .","answer":384.0,"reasoning":"n0 = 24.0\nn1 = 16.0\n\nanswer = n0 * n1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"find the area of a parallelogram with base 36 cm and height 18 cm ?","answer":648.0,"reasoning":"n0 = 36.0\nn1 = 18.0\n\nanswer = n0 * n1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"what is the max number of rectangular boxes , each measuring 5 inches by 2 inches by 7 inches , that can be packed into a rectangular packing box measuring 15 inches by 20 inches by 35 inches , if all boxes are aligned in the same direction ?","answer":150.0,"reasoning":"n0 = 5.0\nn1 = 2.0\nn2 = 7.0\nn3 = 15.0\nn4 = 20.0\nn5 = 35.0\nt0 = n3 * n4\nt1 = n0 * n1\nt2 = n5 * t0\nt3 = n2 * t1\nanswer = t2 \/ t3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"how many 1 x 1 x 1 cubes can you fit in a 15 x 16 x 13 box ?","answer":3120.0,"reasoning":"n0 = 1.0\nn1 = 1.0\nn2 = 1.0\nn3 = 15.0\nn4 = 16.0\nn5 = 13.0\n\nanswer = n3 * n4 * n5\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if a rectangle have length 16 cm and diagonal 20 cm . calculate its area .","answer":192.0,"reasoning":"import math\nn0 = 16.0\nn1 = 20.0\nt0 = n1**min(2.0, 5)\nt1 = n0**min(2.0, 5)\nt2 = t0 - t1\nt3 = math.sqrt(max(0, t2))\nanswer = n0 * t3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a metallic sheet is of rectangular shape with dimensions 48 m x 36 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 8 m , the volume of the box ( in m cube ) is :","answer":5120.0,"reasoning":"n0 = 48.0\nn1 = 36.0\nn2 = 8.0\nt0 = n2 * 2.0\nt1 = n0 - t0\nt2 = n1 - t0\nanswer = n2 * t1 * t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"you buy a piece of land with an area of \u00e2 \u02c6 \u0161 1600 , how long is one side of the land plot ?","answer":40.0,"reasoning":"import math\nn0 = 1600.0\n\nanswer = math.sqrt(max(0, n0))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a cube has a volume of 27 cubic feet . if a similar cube is twice as long , twice as wide , and twice as high , then the volume , in cubic feet of such cube is ?","answer":216.0,"reasoning":"n0 = 27.0\nt0 = n0**(1 \/ 3)\nt1 = t0 * 2.0\nanswer = t1**3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of a parallelogram is 128 sq m and its altitude is twice the corresponding base . then the length of the base is ?","answer":8.0,"reasoning":"import math\nn0 = 128.0\nt0 = n0 \/ 2.0\nanswer = math.sqrt(max(0, t0))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"three table runners have a combined area of 224 square inches . by overlapping the runners to cover 80 % of a table of area 175 square inches , the area that is covered by exactly two layers of runner is 24 square inches . what is the area of the table that is covered with three layers of runner ?","answer":30.0,"reasoning":"n0 = 224.0\nn1 = 80.0\nn2 = 175.0\nn3 = 24.0\nt0 = n1 \/ 100.0\nt1 = n0 - n3\nt2 = n2 * t0\nt3 = t1 - t2\nanswer = t3 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"let the sides of a rectangular prism are consecutive multiples of 5 . which among the following could be the base area","answer":450.0,"reasoning":"n0 = 5.0\nt0 = n0 * 3.0\nt1 = t0 * 2.0\nanswer = t1 * t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"find the volume & curved surface area of a cylinder with diameter of base 14 cm and height 60 cm .","answer":2638.9378290154,"reasoning":"import math\nn0 = 14.0\nn1 = 60.0\nt0 = n0 \/ 2.0\nt1 = 2 * math.pi * t0\nanswer = n1 * t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the area of a square with sides of length 4 centimeters is equal to the area of a rectangle with a width of 4 centimeters , what is the length of the rectangle , in centimeters ?","answer":4.0,"reasoning":"n0 = 4.0\nn1 = 4.0\nt0 = n0**min(2.0, 5)\nanswer = t0 \/ n1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"in measuring the sides of a rectangle , one side is taken 14 % in excess and other 5 % in deficit . find the error percentage in the area calculated from these measurements .","answer":8.3,"reasoning":"n0 = 14.0\nn1 = 5.0\nt0 = n0 * n1\nt1 = n0 - n1\nt2 = t0 \/ 100.0\nanswer = t1 - t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"carol and jordan draw rectangles of equal area . if carol ' s rectangle measures 5 inches by 24 inches and jordan ' s rectangle is 3 inches long , how wide is jordan ' s rectangle , in inches ?","answer":40.0,"reasoning":"n0 = 5.0\nn1 = 24.0\nn2 = 3.0\nt0 = n0 * n1  # area of rectangle\nanswer = t0 \/ n2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the length of an edge of cube p is thrice the length of an edge of cube q , what is the ratio of the volume of cube q to the volume of cube p ?","answer":0.037037037,"reasoning":"t0 = 1 \/ 3.0\nanswer = t0**min(3.0, 5)\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"carol and jordan draw rectangles of equal area . if carol ' s rectangle measures 5 inches by 24 inches and jordan ' s rectangle is 2 inches long , how wide is jordan ' s rectangle , in inches ?","answer":60.0,"reasoning":"n0 = 5.0\nn1 = 24.0\nn2 = 2.0\nt0 = n0 * n1  # area of rectangle\nanswer = t0 \/ n2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"what is the area of an obtuse angled triangle whose two sides are 8 and 12 and the angle included between the two sides is 150 o ?","answer":24.0,"reasoning":"import math\nn0 = 8.0\nn1 = 12.0\nn2 = 150.0\nt0 = n0 \/ 2.0\nt1 = math.sqrt(max(0, 3.0))\nt2 = t1 \/ 2.0\nt3 = n0 * t2\nt4 = n1 + t3\nt5 = t0 * t3 \/ 2\nt6 = t4 * t0 \/ 2\nanswer = t6 - t5\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a certain cube floating in a bucket of water has between 75 and 85 percent of its volume below the surface of the water . if between 9 and 16 cubic centimeters of the cube ' s volume is above the surface of the water , then the length of a side of the cube is approximately","answer":4.0,"reasoning":"n0 = 75.0\nn1 = 85.0\nn2 = 9.0\nn3 = 16.0\nt0 = n3 * 100.0\nt1 = 100.0 - n0\nt2 = t0 \/ t1\nanswer = t2**(1 \/ 3)\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"rectangular tile each of size 60 cm by 56 cm must be laid horizontally on a rectangular floor of size 560 cm by 240 cm , such that the tiles do not overlap and they are placed with edges jutting against each other on all edges . a tile can be placed in any orientation so long as its edges are parallel to the edges of floor . no tile should overshoot any edge of the floor . the maximum number of tiles that can be accommodated on the floor is :","answer":40.0,"reasoning":"n0 = 60.0\nn1 = 56.0\nn2 = 560.0\nn3 = 240.0\nt0 = n2 * n3\nt1 = n0 * n1\nanswer = t0 \/ t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a rectangular carpet has an area of 60 sq . m . if its diagonal and longer side together equal 5 times the shorter side , the length of the carpet is :","answer":12.0,"reasoning":"import math\nn0 = 60.0\nn1 = 5.0\nt0 = n0 * 10.0\nt1 = n1**min(2.0, 5)\nt2 = t1 - 1.0\nt3 = t0 \/ t2\nt4 = math.sqrt(max(0, t3))\nanswer = n0 \/ t4\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a semicircle has a radius of 12 . what is the approximate perimeter of the semicircle ?","answer":61.6991118431,"reasoning":"import math\nn0 = 12.0\nt0 = 2 * math.pi * n0\nt1 = n0 * 2.0\nt2 = t0 \/ 2.0\nanswer = t2 + t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a equilateral triangle having one side 5 m . in this triangle there is a square of side 2 m . calculate the percentage of area outside square in that triangle .","answer":63.0495827719,"reasoning":"import math\nn0 = 5.0\nn1 = 2.0\nt0 = n0**min(2.0, 5)\nt1 = math.sqrt(max(0, 3.0))\nt2 = n1**2\nt3 = t1 \/ 4.0\nt4 = t3 * t0\nt5 = t4 - t2\nt6 = t5 \/ t4\nanswer = t6 * 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a room is a square of side 50 feet . a second room is of area 100 square yards . a third room is of area 200 square feet . which of these can seat maximum people ? ( hint : 1 yard = 3 feet )","answer":200.0,"reasoning":"n0 = 50.0\nn1 = 100.0\nn2 = 200.0\nn3 = 1.0\nn4 = 3.0\n\nanswer = n1 * 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"carol and jordan draw rectangles of equal area . if carol ' s rectangle measures 5 inches by 24 inches and jordan ' s rectangle is 12 inches long , how wide is jordan ' s rectangle , in inches ?","answer":10.0,"reasoning":"n0 = 5.0\nn1 = 24.0\nn2 = 12.0\nt0 = n0 * n1  # area of rectangle\nanswer = t0 \/ n2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"rectangle a has sides a and b , and rectangle b has sides c and d . if a \/ c = b \/ d = 4 \/ 5 , what is the ratio of rectangle a \u2019 s area to rectangle b \u2019 s area ?","answer":0.64,"reasoning":"n0 = 4.0\nn1 = 5.0\nt0 = n0**min(2.0, 5)\nt1 = n1**min(2.0, 5)\nanswer = t0 \/ t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a horse is tethered to one corner of a rectangular grassy field 36 m by 20 m with a rope 18 m long . over how much area of the field can it graze ?","answer":254.4690049408,"reasoning":"n0 = 36.0\nn1 = 20.0\nn2 = 18.0\nt0 = n2**min(2.0, 5)\nt1 = t0 * 3.141592653589793\nanswer = t1 \/ 4.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the length of the diagonal of a square is 12 cm . find its area and perimeter .","answer":33.941125497,"reasoning":"import math\nn0 = 12.0\nt0 = math.sqrt(max(0, 2.0))\nt1 = n0 \/ t0\nanswer = 4 * t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the perimeter of a triangle is 48 cm and the inradius of the triangle is 2.5 cm . what is the area of the triangle ?","answer":60.0,"reasoning":"n0 = 48.0\nn1 = 2.5\n\nanswer = n0 * n1 \/ 2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a box measuring 24 inches long by 40 inches wide by 16 inches deep is to be filled entirely with identical cubes . no space is to be left unfilled . what is the smallest number of cubes that can accomplish this objective ?","answer":30.0,"reasoning":"n0 = 24.0\nn1 = 40.0\nn2 = 16.0\nt0 = n2 \/ 2.0\nt1 = n0 * n1\nt2 = n2 * t1\nt3 = t0**3\nanswer = t2 \/ t3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a circular garden is surrounded by a fence of negligible width along the boundary . if the length of the fence is 1 \/ 8 of th area of the garden . what is the radius of the circular garden ?","answer":16.0,"reasoning":"import math\nn0 = 1.0\nn1 = 8.0\nt0 = n1**min(2.0, 5)\nt1 = math.sqrt(max(0, t0))\nanswer = t1 * 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the volume of two cubes are in the ratio 125 : 1 , the ratio of their edges is :","answer":5.0,"reasoning":"n0 = 125.0\nn1 = 1.0\n\nanswer = n0**(1 \/ 3)\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of a rectangular field is equal to 500 square meters . its perimeter is equal to 90 meters . find the width of this rectangle .","answer":20.0,"reasoning":"import math\nn0 = 500.0\nn1 = 90.0\nt0 = n1 \/ 2.0\nt1 = n0 * 4.0\nt2 = t0 * t0\nt3 = t2 - t1\nt4 = math.sqrt(max(0, t3))\nt5 = t0 - t4\nanswer = t5 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"an 11 - meter long wire is cut into two pieces . if the longer piece is then used to form a perimeter of a square , what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point ?","answer":0.5454545455,"reasoning":"import math\nn0 = 11.0\nn1 = 4.0\nt0 = math.sqrt(max(0, n1))\nt1 = 4 * t0\nt2 = n0 - t1\nt3 = t2 \/ n0\nanswer = t3 * 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the supplementary of an angle is thrice its complimentary . find the angle .","answer":45.0,"reasoning":"t0 = 100.0 - 10.0\nt1 = t0 * 3.0\nt2 = t0 * 2.0\nt3 = t1 - t2\nanswer = t3 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the length of the sides of two cubes are in the ratio 2 : 1 , what is the ratio of their total surface area ?","answer":4.0,"reasoning":"n0 = 2.0\nn1 = 1.0\n\nanswer = n0 * n0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"2 corner most boxes of a chess board ( diagonally opposite ) haven been cut out there ' s a rectangular block = 2 sqaures of chess board , how many such blocks can be placed on the chess board ? \u201d","answer":30.0,"reasoning":"n0 = 2.0\nn1 = 2.0\nt0 = n0 * n0\nt1 = t0 * t0\nt2 = n0 * t1\nanswer = t2 - 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"frank the fencemaker needs to fence in a rectangular yard . he fences in the entire yard , except for one full side of the yard , which equals 40 feet . the yard has an area of 200 square feet . how many feet offence does frank use ?","answer":50.0,"reasoning":"n0 = 40.0\nn1 = 200.0\nt0 = n1 \/ n0\nt1 = t0 + t0\nanswer = n0 + t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the total surface area of a solid hemisphere of diameter 14 cm , is :","answer":461.8141200777,"reasoning":"n0 = 14.0\nt0 = n0 \/ 2.0\nt1 = 3.0 * 3.141592653589793\nt2 = t0**min(2.0, 5)\nanswer = t1 * t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a cylindrical bucket of height 36 cm and radius 21 cm is filled with sand . the bucket is emptied on the ground and a conical heap of sand is formed , the height of the heap being 12 cm . the radius of the heap at the base is :","answer":63.0,"reasoning":"import math\nn0 = 36.0\nn1 = 21.0\nn2 = 12.0\nt0 = n1 * n1\nt1 = n0 * t0\nt2 = t1 \/ 4.0\nanswer = math.sqrt(max(0, t2))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"find the volume and surface area of a cuboid 16 m long , 14 m broad and 7 m high .","answer":868.0,"reasoning":"n0 = 16.0\nn1 = 14.0\nn2 = 7.0\nt0 = n0 * n1\nt1 = n1 * n2\nt2 = n0 * n2\nt3 = t0 + t1\nt4 = t3 + t2\nanswer = t4 * 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a snooker tournament charges $ 40.00 for vip seats and $ 10.00 for general admission ( \u201c regular \u201d seats ) . on a certain night , a total of 320 tickets were sold , for a total cost of $ 7,500 . how many fewer tickets were sold that night for vip seats than for general admission seats ?","answer":148.0,"reasoning":"n0 = 40.0\nn1 = 10.0\nn2 = 320.0\nn3 = 7500.0\nt0 = 3.0 + 4.0\nt1 = 2.0 + 3.0\nt2 = n1 * n2\nt3 = t0 * 1000.0\nt4 = t1 * 100.0\nt5 = t1 * t1\nt6 = t3 + t4\nt7 = t6 - t2\nt8 = t7 \/ t5\nanswer = n2 - t8\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"danny is sitting on a rectangular box . the area of the front face of the box is half the area of the top face , and the area of the top face is 1.5 times the area of the side face . if the volume of the box is 648 , what is the area of the side face of the box ?","answer":72.0,"reasoning":"n0 = 1.5\nn1 = 648.0\nt0 = 1.0 \/ 3.0\nt1 = n1**min(2.0, 5)\nt2 = t1 * 3.0\nt3 = t2**min(t0, 5)\nanswer = t3 \/ n0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a metallic sheet is of rectangular shape with dimensions 46 m x 36 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 8 m , the volume of the box ( in m 3 ) is :","answer":4800.0,"reasoning":"n0 = 46.0\nn1 = 36.0\nn2 = 8.0\nn3 = 3.0\nt0 = n2 * 2.0\nt1 = n0 - t0\nt2 = n1 - t0\nanswer = n2 * t1 * t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the length and breadth of a rectangle is increased by 10 % and 30 % respectively . what is the increase in the area ?","answer":43.0,"reasoning":"n0 = 10.0\nn1 = 30.0\nt0 = n0 + 100.0\nt1 = n1 + 100.0\nt2 = 100.0 * 100.0  # area of rectangle\nt3 = t0 * t1  # area of rectangle\nt4 = t3 - t2\nt5 = t4 * 100.0\nanswer = t5 \/ t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a rectangular floor is covered by a rug except for a strip 4 meters wide along each of the four edge . if the floor is 25 meters by 20 meters , what is the area of the rug in square meters ?","answer":204.0,"reasoning":"n0 = 4.0\nn1 = 25.0\nn2 = 20.0\nt0 = n0 * 2.0\nt1 = n1 - t0\nt2 = n2 - t0\nanswer = t1 * t2  # area of rectangle\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the area of a square with sides of length 6 centimeters is equal to the area of a rectangle with a width of 4 centimeters , what is the length of the rectangle , in centimeters ?","answer":9.0,"reasoning":"n0 = 6.0\nn1 = 4.0\nt0 = n0**min(2.0, 5)\nanswer = t0 \/ n1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"16 business executives and 7 chairmen meet at a conference . if each business executive shakes the hand of every other business executive and every chairman once , and each chairman shakes the hand of each of the business executives but not the other chairmen , how many handshakes would take place ?","answer":232.0,"reasoning":"n0 = 16.0\nn1 = 7.0\nt0 = n0 * n1\nt1 = n0 - 1.0\nt2 = n0 * t1\nt3 = t2 \/ 2.0\nanswer = t3 + t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if ( 20 ) \u00b2 is subtracted from the square of a number , the answer so obtained is 4321 . what is the number ?","answer":68.7095335452,"reasoning":"import math\nn0 = 20.0\nn1 = 4321.0\nt0 = 10.0 * 2.0\nt1 = t0**min(2.0, 5)\nt2 = n1 + t1\nanswer = math.sqrt(max(0, t2))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the parameter of a square is equal to the perimeter of a rectangle of length 36 cm and breadth 20 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places ) ?","answer":43.9822971503,"reasoning":"import math\nn0 = 36.0\nn1 = 20.0\nt0 = 2 * (n0 + n1)  # perimetere of rectangle\nt1 = t0 \/ 4. # square edge given perimeter\nt2 = t1 \/ 2.0\nt3 = 2 * math.pi * t2\nanswer = t3 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"danny is sitting on a rectangular box . the area of the front face of the box is half the area of the top face , and the area of the top face is 1.5 times the area of the side face . if the volume of the box is 1536 , what is the area of the side face of the box ?","answer":128.0,"reasoning":"n0 = 1.5\nn1 = 1536.0\nt0 = 1.0 \/ 3.0\nt1 = n1**min(2.0, 5)\nt2 = t1 * 3.0\nt3 = t2**min(t0, 5)\nanswer = t3 \/ n0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"carol and jordan draw rectangles of equal area . if carol ' s rectangle measures 15 inches by 20 inches and jordan ' s rectangle is 6 inches long , how wide is jordan ' s rectangle , in inches ?","answer":50.0,"reasoning":"n0 = 15.0\nn1 = 20.0\nn2 = 6.0\nt0 = n0 * n1  # area of rectangle\nanswer = t0 \/ n2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a rectangular tank needs to be coated with insulation . the tank has dimensions of 3 feet , 7 feet , and 2 feet . each square foot of insulation costs $ 20 . how much will it cost to cover the surface of the tank with insulation ?","answer":1640.0,"reasoning":"n0 = 3.0\nn1 = 7.0\nn2 = 2.0\nn3 = 20.0\nt0 = 2 * (n0 * n1 + n0 * n2 + n1 * n2)  # surface of a rectangular prism\nanswer = n3 * t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a snooker tournament charges $ 45.00 for vip seats and $ 20.00 for general admission ( \u201c regular \u201d seats ) . on a certain night , a total of 320 tickets were sold , for a total cost of $ 7,500 . how many fewer tickets were sold that night for vip seats than for general admission seats ?","answer":276.0,"reasoning":"n0 = 45.0\nn1 = 20.0\nn2 = 320.0\nn3 = 7500.0\nt0 = 3.0 + 4.0\nt1 = 2.0 + 3.0\nt2 = n1 * n2\nt3 = t0 * 1000.0\nt4 = t1 * 100.0\nt5 = t1 * t1\nt6 = t3 + t4\nt7 = t6 - t2\nt8 = t7 \/ t5\nanswer = n2 - t8\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the diagonals of a rhombus are 30 cm and 20 cm . find its area ?","answer":300.0,"reasoning":"n0 = 30.0\nn1 = 20.0\n\nanswer = n0 * n1 \/ 2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the height of a cone is increased by 120 % then its volume is increased by ?","answer":120.0,"reasoning":"n0 = 120.0\n\nanswer = n0 * 1.0  # area of rectangle\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"frank the fencemaker needs to fence in a rectangular yard . he fences in the entire yard , except for one full side of the yard , which equals 40 feet . the yard has an area of 240 square feet . how many feet offence does frank use ?","answer":52.0,"reasoning":"n0 = 40.0\nn1 = 240.0\nt0 = n1 \/ n0\nt1 = t0 + t0\nanswer = n0 + t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the side of a square is increased by 40 % then how much % does its area increases ?","answer":96.0,"reasoning":"n0 = 40.0\nt0 = n0 + 100.0\nt1 = 100.0**2\nt2 = t0**2\nt3 = t2 - t1\nt4 = t3 * 100.0\nanswer = t4 \/ t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"what is the area of a square field whose diagonal of length 16 m ?","answer":128.0,"reasoning":"n0 = 16.0\nt0 = n0**2\nanswer = t0 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a volume of 11248 l water is in a container of sphere . how many hemisphere of volume 4 l each will be required to transfer all the water into the small hemispheres ?","answer":2812.0,"reasoning":"n0 = 11248.0\nn1 = 4.0\n\nanswer = n0 \/ n1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the length of a rectangle is reduced by 20 % . by what % would the width have to be increased to maintainthe original area ?","answer":25.0,"reasoning":"n0 = 20.0\nt0 = 100.0 - n0\nt1 = t0 \/ 100.0\nt2 = 1.0 - t1\nt3 = t2 \/ t1\nanswer = t3 * 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the radius of a sphere is increased by 50 % . the increase in surface area of the sphere is :","answer":125.0,"reasoning":"import math\nn0 = 50.0\nt0 = n0 \/ 100.0\nt1 = 4 * math.pi * 1.0**2\nt2 = t0 + 1.0\nt3 = 4 * math.pi * t2**2\nt4 = t3 - t1\nt5 = t4 \/ t1\nanswer = t5 * 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of a square field is a square feet and the perimeter is p feet . if 6 a = 6 ( 2 p + 9 ) , what is the perimeter of the field , in feet ? ( here a = a ^ 2 )","answer":36.0,"reasoning":"n0 = 6.0\nn1 = 6.0\nn2 = 2.0\nn3 = 9.0\nn4 = 2.0\n\nanswer = n3 * 4.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the roof of an apartment building is rectangular and its length is 3 times longer than its width . if the area of the roof is 588 feet squared , what is the difference between the length and the width of the roof ?","answer":28.0,"reasoning":"import math\nn0 = 3.0\nn1 = 588.0\nt0 = n1 \/ n0\nt1 = math.sqrt(max(0, t0))\nt2 = t1 * n0\nanswer = t2 - t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"you buy a piece of land with an area of \u00e2 \u02c6 \u0161 625 , how long is one side of the land plot ?","answer":25.0,"reasoning":"import math\nn0 = 625.0\n\nanswer = math.sqrt(max(0, n0))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the slant height of a right circular cone is 10 m and its height is 8 m . find the area of its curved surface .","answer":60.0,"reasoning":"import math\nn0 = 10.0\nn1 = 8.0\nt0 = n0**min(2.0, 5)\nt1 = n1**min(2.0, 5)\nt2 = t0 - t1\nt3 = math.sqrt(max(0, t2))\nanswer = n0 * t3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a certain rectangular crate measures 20 feet by 20 feet by 20 feet . a cylindrical gas tank is to be made for shipment in the crate and will stand upright when the crate is placed on one of its six faces . what should the radius of the tank be if it is to be of the largest possible volume ?","answer":10.0,"reasoning":"import math\nn0 = 20.0\nn1 = 20.0\nn2 = 20.0\nt0 = n1 \/ 2.0\nt1 = n0 * 3.141592653589793\nt2 = math.pi * t0**2 * n0\nt3 = t2 \/ t1\nanswer = math.sqrt(max(0, t3))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the value of \u201c a \u201d varies in inverse proportion as the square of \u201c b \u201d . if the value of \u201c a \u201d is equal to 40 when \u201c b \u201d is equal to 12 . what would be the value of \u201c a \u201d when \u201c b \u201d is equal to 24 ?","answer":10.0,"reasoning":"n0 = 40.0\nn1 = 12.0\nn2 = 24.0\nt0 = n1**min(2.0, 5)\nt1 = n2**min(2.0, 5)\nt2 = n0 * t0\nanswer = t2 \/ t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the perimeter of a triangle is 36 cm and the in radius of the triangle is 2.5 cm . what is the area of the triangle ?","answer":45.0,"reasoning":"n0 = 36.0\nn1 = 2.5\n\nanswer = n0 * n1 \/ 2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the volume of a cube is 1331 cc . find its surface .","answer":726.0,"reasoning":"n0 = 1331.0\nt0 = n0**(1 \/ 3)\nanswer = 6 * t0**2  # surface of a cube\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"what is the area of a triangle with the following vertices l ( 2 , 3 ) , m ( 5 , 1 ) , and n ( 3 , 5 ) ?","answer":4.0,"reasoning":"import math\nn0 = 2.0\nn1 = 3.0\nn2 = 5.0\nn3 = 1.0\nn4 = 3.0\nn5 = 5.0\nt0 = n2 - n0\nt1 = n3 - n1\nt2 = n0 - n1\nt3 = n1 - n2\nt4 = n3 - n2\nt5 = t0**min(2.0, 5)\nt6 = t1**min(2.0, 5)\nt7 = t2**min(2.0, 5)\nt8 = t3**min(2.0, 5)\nt9 = t4**min(2.0, 5)\nt10 = t5 + t6\nt11 = t7 + t8\nt12 = t9 + t8\nt13 = math.sqrt(max(0, t10))\nt14 = math.sqrt(max(0, t11))\nt15 = math.sqrt(max(0, t12))\nanswer = (lambda s, a, b, c: math.sqrt(max(0, s * (s - a) * (s - b) * (s - c))))((t13 + t14 + t15) \/ 2, t13, t14, t15)  # Heron's formula\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the length of a rectangle is reduced by 22 % . by what % would the width have to be increased to maintain the original area ?","answer":28.2051282051,"reasoning":"n0 = 22.0\nt0 = 100.0 - n0\nt1 = t0 \/ 100.0\nt2 = 1.0 - t1\nt3 = t2 \/ t1\nanswer = t3 * 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the circumferences of two circles are 264 meters and 352 meters . find the difference between the areas of the larger and the smaller circles ?","answer":4313.7355775627,"reasoning":"import math\nn0 = 264.0\nn1 = 352.0\nt0 = 2.0 * 3.141592653589793\nt1 = n1 \/ t0\nt2 = n0 \/ t0\nt3 = math.pi * t1**2\nt4 = math.pi * t2**2\nanswer = t3 - t4\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the length of a rectangle is increased by 25 % and its breadth is decreased by 20 % . what is the effect on its area ?","answer":10000.0,"reasoning":"n0 = 25.0\nn1 = 20.0\nt0 = n0 + 100.0\nt1 = 100.0 - n1\nanswer = t0 * t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"an equilateral triangle t 2 is formed by joining the mid points of the sides of another equilateral triangle t 1 . a third equilateral triangle t 3 is formed by joining the mid - points of t 2 and this process is continued indefinitely . if each side of t 1 is 40 cm , find the sum of the perimeters of all the triangles .","answer":240.0,"reasoning":"n0 = 2.0\nn1 = 1.0\nn2 = 3.0\nn3 = 2.0\nn4 = 1.0\nn5 = 40.0\nt0 = n5 + n5 + n5  # perimeter of a triangle\nanswer = t0 + t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the area of a square with sides of length 3 centimeters is equal to the area of a rectangle with a width of 3 centimeters , what is the length of the rectangle , in centimeters ?","answer":3.0,"reasoning":"n0 = 3.0\nn1 = 3.0\nt0 = n0**min(2.0, 5)\nanswer = t0 \/ n1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the base of a triangle is 15 cm and height is 12 cm . the height of another triangle of double the area having the base 20 cm is :","answer":18.0,"reasoning":"n0 = 15.0\nn1 = 12.0\nn2 = 20.0\nt0 = n0 * n1 \/ 2\nt1 = t0 * 2.0\nt2 = t1 * 2.0\nanswer = t2 \/ n2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"find the area of a parallelogram with base 32 cm and height 14 cm ?","answer":448.0,"reasoning":"n0 = 32.0\nn1 = 14.0\n\nanswer = n0 * n1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a rectangular cube has sides measuring 3 inches long by 2 inches wide by 0.5 inches high . if the surface area of the rectangle is the same as a cube , what do the sides \/ walls of the cube measure ? round to the nearest whole number .","answer":2.0,"reasoning":"import math\nn0 = 3.0\nn1 = 2.0\nn2 = 0.5\nt0 = 2.0 * 3.0\nt1 = 2 * (n0 * n1 + n0 * n2 + n1 * n2)  # surface of a rectangular prism\nt2 = t1 \/ t0\nanswer = math.floor(t2)\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a cube of edge 16 cm is immersed completely in a rectangular vessel containing water . if the dimensions of the base of vessel are 20 cm * 15 cm , find the rise in water level ?","answer":13.6533333333,"reasoning":"n0 = 16.0\nn1 = 20.0\nn2 = 15.0\nt0 = n1 * n2\nt1 = n0**3\nanswer = t1 \/ t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the radius of a sphere is increased by 10 % . the surface area increases by ?","answer":21.0,"reasoning":"import math\nn0 = 10.0\nt0 = n0 \/ 100.0\nt1 = 4 * math.pi * 1.0**2\nt2 = t0 + 1.0\nt3 = 4 * math.pi * t2**2\nt4 = t3 - t1\nt5 = t4 \/ t1\nanswer = t5 * 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the side of a rhombus is 24 m and length of one of its diagonals is 18 m . the area of the rhombus is ?","answer":400.4747183032,"reasoning":"import math\nn0 = 24.0\nn1 = 18.0\nt0 = n0 * 2.0\nt1 = n1**min(2.0, 5)\nt2 = t0**min(2.0, 5)\nt3 = t2 - t1\nt4 = math.sqrt(max(0, t3))\nt5 = n1 * t4\nanswer = t5 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if a is the smallest positive integer such that 5880 multiplied by a is the square of an integer , then ya must be","answer":30.0,"reasoning":"n0 = 5880.0\nt0 = 3.0 + 4.0\nt1 = 2.0**min(2.0, 5)\nt2 = t0**min(2.0, 5)\nt3 = t2 * t1\nanswer = n0 \/ t3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the surface of a cube is 384 sq cm . find its volume ?","answer":512.0,"reasoning":"import math\nn0 = 384.0\nt0 = 2.0 + 4.0\nt1 = n0 \/ t0\nt2 = math.sqrt(max(0, t1))\nanswer = t2**3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the length of the longest chord of a certain circle is 22 , what is the radius of that certain circle ?","answer":11.0,"reasoning":"n0 = 22.0\n\nanswer = n0 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if each side of a rectangle is increased by 100 % , by what % the area increases ?","answer":300.0,"reasoning":"n0 = 100.0\nt0 = n0 \/ 100.0\nt1 = t0 * 2.0\nt2 = t1**min(2.0, 5)\nt3 = t2 - 1.0\nanswer = t3 * 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a rectangular swimming pool is 10 feet by 12 feet . a deck that has uniform width surrounds the pool . the total area of the pool and deck is 360 square feet . what is the width of the deck ?","answer":4.0,"reasoning":"import math\nn0 = 10.0\nn1 = 12.0\nn2 = 360.0\nt0 = n0 * n1  # area of rectangle\nt1 = n1 - 1.0\nt2 = t1**min(2.0, 5)\nt3 = n2 - t0\nt4 = t2 + t3\nt5 = math.sqrt(max(0, t4))\nt6 = t5 - t1\nanswer = t6 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"find the area of a parallelogram with base 20 cm and height 10 cm ?","answer":200.0,"reasoning":"n0 = 20.0\nn1 = 10.0\n\nanswer = n0 * n1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"what is the perimeter , in meters , of a rectangular garden 4 meters wide that has the same area as a rectangular playground 16 meters long and 12 meters wide ?","answer":104.0,"reasoning":"n0 = 4.0\nn1 = 16.0\nn2 = 12.0\nt0 = n1 * n2  # area of rectangle\nt1 = t0 \/ 4.0\nanswer = 2 * (n0 + t1)  # perimetere of rectangle\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a cube is painted red on all faces . it is then cut into 27 equal smaller cubes . how many p cubes are painted on only 2 faces ?","answer":12.0,"reasoning":"n0 = 27.0\nn1 = 2.0\nt0 = 1.0 \/ 3.0\nt1 = n0**min(t0, 5)\nanswer = t1 * 4.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the roof of an apartment building is rectangular and its length is 4 times longer than its width . if the area of the roof is 676 feet squared , what is the difference between the length and the width of the roof ?","answer":39.0,"reasoning":"import math\nn0 = 4.0\nn1 = 676.0\nt0 = n1 \/ n0\nt1 = math.sqrt(max(0, t0))\nt2 = t1 * n0\nanswer = t2 - t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of a rectangular plot is 23 times its breadth . if the difference between the length and the breadth is 10 metres , what is its breadth ?","answer":13.0,"reasoning":"n0 = 23.0\nn1 = 10.0\n\nanswer = n0 - n1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"what is the area of square field whose side of length 8 m ?","answer":64.0,"reasoning":"n0 = 8.0\n\nanswer = n0**2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"what will be the cost of building a fence around a square plot with area equal to 36 sq ft , if the price per foot of building the fence is rs . 58 ?","answer":1392.0,"reasoning":"import math\nn0 = 36.0\nn1 = 58.0\nt0 = math.sqrt(max(0, n0))\nt1 = 4 * t0\nanswer = n1 * t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the length of a rectangle is 5 more than the width . what are the dimensions of the rectangle if the perimeter is 34 ?","answer":11.0,"reasoning":"n0 = 5.0\nn1 = 34.0\nt0 = n1 \/ 2.0\nt1 = n0 + t0\nanswer = t1 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a crate measures 3 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 fit in the crate ?","answer":3.0,"reasoning":"n0 = 3.0\nn1 = 8.0\nn2 = 12.0\nt0 = n1 * n2\nt1 = n0 * t0\nt2 = t1 \/ n2\nanswer = t2 \/ n1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a box is in the shape of a semicircle with a radius of 12 . what is the approximate perimeter of the semicircle ?","answer":61.6991118431,"reasoning":"n0 = 12.0\nt0 = n0 * 3.141592653589793\nt1 = n0 * 2.0\nanswer = t0 + t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"all the faces of cubes are painted with red colour . it is then cut into 64 equal small cubes . find how many small cubes are there whose three faces are coloured ?","answer":8.0,"reasoning":"n0 = 64.0\nt0 = n0 \/ 4.0\nanswer = t0 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 5 feet and a height of 10 feet , how far did the oil level drop in the stationary tank ?","answer":0.025,"reasoning":"import math\nn0 = 100.0\nn1 = 25.0\nn2 = 5.0\nn3 = 10.0\nt0 = math.pi * n0**2\nt1 = math.pi * n2**2 * n3\nanswer = t1 \/ t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the sides of a cube measures 6.5 cm . if the surface area of the cube is the same as a ball , what is the radius of the ball ? round to the nearest whole number .","answer":4.0,"reasoning":"import math\nn0 = 6.5\nt0 = 6 * n0**2  # surface of a cube\nt1 = t0 \/ 4.0\nt2 = t1 \/ 3.141592653589793\nt3 = math.sqrt(max(0, t2))\nanswer = math.floor(t3)\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the length of a rectangular plot is thrice its breadth . if the area of the rectangular plot is 588 sq m , then what is the breadth of the rectangular plot ?","answer":14.0,"reasoning":"import math\nn0 = 588.0\nt0 = n0 \/ 3.0\nanswer = math.sqrt(max(0, t0))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"sand is poured into a box so that the box is being filled at the rate of 3 cubic feet per hour . if the empty rectangular box is 5 feet long , 4 feet wide , and 3 feet deep , approximately how many hours does it take to fill the box ?","answer":20.0,"reasoning":"n0 = 3.0\nn1 = 5.0\nn2 = 4.0\nn3 = 3.0\nt0 = n1 * n2\nt1 = n3 * t0\nanswer = t1 \/ n0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"find the sum of divisors of 544 which are perfect squares","answer":21.0,"reasoning":"import math\nn0 = 544.0\nt0 = n0 \/ 2.0\nt1 = t0 \/ 2.0\nt2 = t1 \/ 2.0\nt3 = t2 \/ 2.0\nt4 = t3 \/ 2.0\nt5 = n0 \/ t4\nt6 = t5 \/ 2.0\nt7 = math.sqrt(max(0, t6))\nt8 = t7 + 1.0\nanswer = t8 + t6\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the surface area of a sphere is 4 \u03c0 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 q of that hemisphere ?","answer":9.0,"reasoning":"n0 = 4.0\nn1 = 2.0\nn2 = 3.0\nt0 = n2 \/ 3.141592653589793\nt1 = n0 * 3.141592653589793\nt2 = t0 * t1\nt3 = t0 * 3.141592653589793\nt4 = t2 \/ n1\nanswer = t4 + t3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 480 square feet . how many feet offence does frank use ?","answer":64.0,"reasoning":"n0 = 40.0\nn1 = 480.0\nt0 = n1 \/ n0\nt1 = t0 + t0\nanswer = n0 + t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the length of rectangle is thrice its breadth and its perimeter is 120 m , find the area of the rectangle ?","answer":675.0,"reasoning":"n0 = 120.0\nt0 = 2.0 * 3.0\nt1 = 1.0 * 2.0\nt2 = t0 + t1\nt3 = n0 \/ t2\nt4 = t3 * 3.0\nanswer = t3 * t4\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"you buy a piece of land with an area of \u00e2 \u02c6 \u0161 1024 , how long is one side of the land plot ?","answer":32.0,"reasoning":"import math\nn0 = 1024.0\n\nanswer = math.sqrt(max(0, n0))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the circumferences of two circles are 528 meters and 704 meters . find the difference between the areas of the larger and the smaller circles ?","answer":17254.9423102509,"reasoning":"import math\nn0 = 528.0\nn1 = 704.0\nt0 = 2.0 * 3.141592653589793\nt1 = n1 \/ t0\nt2 = n0 \/ t0\nt3 = math.pi * t1**2\nt4 = math.pi * t2**2\nanswer = t3 - t4\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a cylindrical cube of radius 12 cm contains water upto a depth of 20 cm . a spherical iron ball is dropped into the tub and thus the level of water is raised by 6.75 cm . the radius of the ball is :","answer":9.0,"reasoning":"import math\nn0 = 12.0\nn1 = 20.0\nn2 = 6.75\nt0 = 1.0 \/ 3.0\nt1 = 4.0 * 3.141592653589793\nt2 = math.pi * n0**2 * n2\nt3 = t2 * 3.0\nt4 = t3 \/ t1\nanswer = t4**min(t0, 5)\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the area of a square with sides of length 4 centimeters is equal to the area of a rectangle with a width of 8 centimeters , what is the length of the rectangle , in centimeters ?","answer":2.0,"reasoning":"n0 = 4.0\nn1 = 8.0\nt0 = n0**min(2.0, 5)\nanswer = t0 \/ n1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"what is the area of a square field whose diagonal of length 30 m ?","answer":450.0,"reasoning":"n0 = 30.0\nt0 = n0**2\nanswer = t0 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"in an electric circuit , two resistors with resistances 8 ohms and 9 ohms are connected in parallel . in this case , if r is the combined resistance of these two resistors , then the reciprocal of r is equal to the sum of the reciprocals of two resistors . what is r value ?","answer":4.2352941176,"reasoning":"n0 = 8.0\nn1 = 9.0\nt0 = n0 + n1\nt1 = n0 * n1\nanswer = t1 \/ t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of a circular field is 17.56 hectares . find the cost of fencing it at the rate of rs . 2 per metre approximately","answer":2970.9625914047,"reasoning":"import math\nn0 = 17.56\nn1 = 2.0\nt0 = n0 \/ 3.141592653589793\nt1 = math.sqrt(max(0, t0))\nt2 = t1 * 100.0\nt3 = 2 * math.pi * t2\nanswer = t3 * n1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"one side of a rectangular field is 15 m and one of its diagonals is 17 m . find the area of the field .","answer":120.0,"reasoning":"import math\nn0 = 15.0\nn1 = 17.0\nt0 = n1**min(2.0, 5)\nt1 = n0**min(2.0, 5)\nt2 = t0 - t1\nt3 = math.sqrt(max(0, t2))\nanswer = n0 * t3  # area of rectangle\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the circumferences of two circles are 264 meters and 352 meters . find the difference between the areas of the larger and the smaller circles .","answer":4313.7355775627,"reasoning":"import math\nn0 = 264.0\nn1 = 352.0\nt0 = 2.0 * 3.141592653589793\nt1 = n1 \/ t0\nt2 = n0 \/ t0\nt3 = math.pi * t1**2\nt4 = math.pi * t2**2\nanswer = t3 - t4\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"three runners running around a circular track can complete one revolution in 2 , 4 and 5.5 respectively . when will they meet at starting point ?","answer":44.0,"reasoning":"n0 = 2.0\nn1 = 4.0\nn2 = 5.5\nt0 = n0 * n1\nanswer = n2 * t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the sum of a number and its square is 272 , what is the number ?","answer":16.0,"reasoning":"import math\nn0 = 272.0\nt0 = math.sqrt(max(0, n0))\nanswer = math.floor(t0)\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a certain cube floating in a bucket of water has between 80 and 90 percent of its volume below the surface of the water . if between 6 and 13 cubic centimeters of the cube ' s volume is above the surface of the water , then the length of a side of the cube is approximately","answer":4.0207257586,"reasoning":"n0 = 80.0\nn1 = 90.0\nn2 = 6.0\nn3 = 13.0\nt0 = n3 * 100.0\nt1 = 100.0 - n0\nt2 = t0 \/ t1\nanswer = t2**(1 \/ 3)\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the sides of a triangle are 36 cm , 34 cm and 20 cm , what is its area ?","answer":340.0,"reasoning":"n0 = 36.0\nn1 = 34.0\nn2 = 20.0\nt0 = n1 * n2\nanswer = t0 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"14 business executives and 7 chairmen meet at a conference . if each business executive shakes the hand of every other business executive and every chairman once , and each chairman shakes the hand of each of the business executives but not the other chairmen , how many handshakes would take place ?","answer":189.0,"reasoning":"n0 = 14.0\nn1 = 7.0\nt0 = n0 * n1\nt1 = n0 - 1.0\nt2 = n0 * t1\nt3 = t2 \/ 2.0\nanswer = t3 + t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a small , rectangular park has a perimeter of 560 feet and a diagonal measurement of 100 feet . what is its area , in square feet ?","answer":4800.0,"reasoning":"n0 = 560.0\nn1 = 100.0\nt0 = 2.0 + 3.0\nt1 = n1 \/ t0\nt2 = t1 * 3.0\nt3 = t1 * 4.0\nanswer = t2 * t3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the perimeter of a triangle is 32 cm and the inradius of the triangle is 3.5 cm . what is the area of the triangle ?","answer":56.0,"reasoning":"n0 = 32.0\nn1 = 3.5\n\nanswer = n0 * n1 \/ 2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"d and e are two points respectively on sides ab and ac of triangle abc such that de is parallel to bc . if the ratio of area of triangle ade to that of the trapezium decb is 144 : 25 and de = 13 cm , then find the length of bc .","answer":5.0,"reasoning":"import math\nn0 = 144.0\nn1 = 25.0\nn2 = 13.0\nt0 = n0 + n1\nt1 = n1 \/ t0\nt2 = math.sqrt(max(0, t1))\nanswer = n2 * t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the cost of painting the whole surface area of a cube at the rate of 13 paise per sq . cm is rs . 343.98 . then the volume of the cube is","answer":9261.0,"reasoning":"import math\nn0 = 13.0\nn1 = 343.98\nt0 = n0 \/ 100.0\nt1 = 2.0 * 3.0\nt2 = n1 \/ t0\nt3 = t2 \/ t1\nt4 = math.sqrt(max(0, t3))\nanswer = t4**3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the diameter of circle r is 60 % of the diameter of circle s , the area of circle r is what percent of the area of circle s ?","answer":36.0,"reasoning":"import math\nn0 = 60.0\nt0 = math.pi * n0**2\nt1 = math.pi * 100.0**2\nt2 = t0 * 100.0\nanswer = t2 \/ t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the side of a rhombus is 28 m and length of one of its diagonals is 12 m . the area of the rhombus is ?","answer":328.1950639483,"reasoning":"import math\nn0 = 28.0\nn1 = 12.0\nt0 = n0 * 2.0\nt1 = n1**min(2.0, 5)\nt2 = t0**min(2.0, 5)\nt3 = t2 - t1\nt4 = math.sqrt(max(0, t3))\nt5 = n1 * t4\nanswer = t5 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a lady grows cauliflower in her garden that is in the shape of a square . each cauliflower takes 1 square foot of area in her garden . this year , she has increased her output by 223 cauliflower when compared to last year . the shape of the area used for growing the cauliflower has remained a square in both these years . how many cauliflowers did she produce this year ?","answer":12544.0,"reasoning":"n0 = 1.0\nn1 = 223.0\nt0 = n1 - n0\nt1 = t0 \/ 2.0\nt2 = t1**min(2.0, 5)\nanswer = n1 + t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the percentage increase in the area of a rectangle , if each of its sides is increased by 20 %","answer":44.0,"reasoning":"n0 = 20.0\nt0 = n0 + 100.0\nt1 = t0 \/ 100.0\nt2 = t1 * t1\nt3 = t2 - 1.0\nanswer = t3 * 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the circumference of a circle is equal to 72 pi . find the radius of this circle .","answer":36.0,"reasoning":"n0 = 72.0\n\nanswer = n0 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of a triangle is with base 2 m and height 3 m ?","answer":3.0,"reasoning":"n0 = 2.0\nn1 = 3.0\n\nanswer = n0 * n1 \/ 2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the height of a cone is increased by 130 % then its volume is increased by ?","answer":130.0,"reasoning":"n0 = 130.0\n\nanswer = n0 * 1.0  # area of rectangle\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of the largest circle that can be drawn inside a square of side 70 cm in length is :","answer":3848.4510006475,"reasoning":"import math\nn0 = 70.0\nt0 = n0 \/ 2.0\nanswer = math.pi * t0**2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a horse is tethered to one corner of a rectangular grassy field 36 m by 20 m with a rope 12 m long . over how much area of the field can it graze ?","answer":113.0973355292,"reasoning":"n0 = 36.0\nn1 = 20.0\nn2 = 12.0\nt0 = n2**min(2.0, 5)\nt1 = t0 * 3.141592653589793\nanswer = t1 \/ 4.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"find the smallest number that should be multiplied with 54000 to make it a perfect cube .","answer":4.0,"reasoning":"n0 = 54000.0\nt0 = n0 \/ 1000.0\nt1 = t0 \/ 3.0\nt2 = t1 \/ 3.0\nt3 = t2 \/ 3.0\nanswer = t3 * t3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the edge of three cubes of metal is 3 dm , 4 dm and 5 dm . they are melted and formed into a single cube . find the edge of the new cube ?","answer":6.0,"reasoning":"n0 = 3.0\nn1 = 4.0\nn2 = 5.0\n\nanswer = 2.0 * 3.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of a parallelogram is 450 sq m and its altitude is twice the corresponding base . then the length of the base is ?","answer":15.0,"reasoning":"import math\nn0 = 450.0\nt0 = n0 \/ 2.0\nanswer = math.sqrt(max(0, t0))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"what is the area of a square field whose diagonal of length 40 m ?","answer":800.0,"reasoning":"n0 = 40.0\nt0 = n0**2\nanswer = t0 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"points a , b , and , c have xy - coordinates ( 2,0 ) , ( 8,12 ) , and ( 14,0 ) , respectively . points x , y , and z have xy - coordinates ( 6,0 ) , ( 8,4 ) , and ( 10,0 ) , respectively . what fraction w of the area of triangle abc is the area of triangle xyz ?","answer":0.1111111111,"reasoning":"n0 = 2.0\nn1 = 0.0\nn2 = 8.0\nn3 = 12.0\nn4 = 14.0\nn5 = 0.0\nn6 = 6.0\nn7 = 0.0\nn8 = 8.0\nn9 = 4.0\nn10 = 10.0\nn11 = 0.0\nt0 = 10.0 + 2.0\nt1 = 4.0**min(2.0, 5)\nt2 = t1 \/ 2.0\nt3 = t0**min(2.0, 5)\nt4 = t3 \/ 2.0\nanswer = t2 \/ t4\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"two equal triangles constitute rhombus a . if the diagonals of rhombus are 15 cm and 20 cm long . what is the area of each triangle ?","answer":75.0,"reasoning":"n0 = 15.0\nn1 = 20.0\nt0 = n0 * n1\nanswer = t0 \/ 4.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the length of a rectangular plot is thrice its width . if the area of the rectangular plot is 432 sq meters , then what is the width ( in meters ) of the rectangular plot ?","answer":12.0,"reasoning":"n0 = 432.0\nt0 = n0 \/ 3.0\nt1 = t0 \/ 3.0\nanswer = t1 \/ 4.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"susan made a block with small cubes of 8 cubic cm volume to make a block , 3 small cubes long , 9 small cubes wide and 5 small cubes deep . she realizes that she has used more small cubes than she really needed . she realized that she could have glued a fewer number of cubes together to lock like a block with same dimensions , if it were made hollow . what is the minimum number of cubes that she needs to make the block ?","answer":114.0,"reasoning":"n0 = 8.0\nn1 = 3.0\nn2 = 9.0\nn3 = 5.0\nt0 = 3.0 + 4.0\nt1 = n2 * 1.0\nt2 = n3 * t1\nt3 = t0 * 3.0\nt4 = t2 - t3\nt5 = t2 + t4\nanswer = t5 + t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"in a certain parallelogram the degree measure of one angle exceeds that of the other by 50 what is the degree measure of the smaller angle ?","answer":65.0,"reasoning":"n0 = 50.0\nt0 = 3600.0 \/ 10.0\nt1 = n0 * 2.0\nt2 = t0 - t1\nanswer = t2 \/ 4.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 . 7 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each ?","answer":6342.0,"reasoning":"n0 = 25.0\nn1 = 15.0\nn2 = 12.0\nn3 = 7.0\nn4 = 6.0\nn5 = 3.0\nn6 = 4.0\nn7 = 3.0\nt0 = n0 + n1\nt1 = n2 * 2.0\nt2 = n4 * n5\nt3 = n5 * n6\nt4 = t0 * t1\nt5 = n5 * t3\nt6 = t4 - t2\nt7 = t6 - t5\nanswer = n3 * t7\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if a rectangular billboard has an area of 91 square feet and a perimeter of 40 feet , what is the length of each of the shorter sides ?","answer":7.0,"reasoning":"import math\nn0 = 91.0\nn1 = 40.0\nt0 = n1 \/ 2.0\nt1 = n0 * 4.0\nt2 = t0**min(2.0, 5)\nt3 = t2 - t1\nt4 = math.sqrt(max(0, t3))\nt5 = t0 - t4\nanswer = t5 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a cubic object 3 ' ' x 3 ' ' x 3 ' ' is painted blue on all the outside surfaces , including the top and bottom . if the cube is cut into 27 cubes of 1 ' ' x 1 ' ' x 1 ' ' , how many 1 ' ' cubes do have any painted surfaces ?","answer":26.0,"reasoning":"n0 = 3.0\nn1 = 3.0\nn2 = 3.0\nn3 = 27.0\nn4 = 1.0\nn5 = 1.0\nn6 = 1.0\nn7 = 1.0\n\nanswer = n3 - 1.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"in a rectangular coordinate system , what is the area of a rhombus whose vertices have the coordinates ( 0 , 3.5 ) , ( 9 , 0 ) , ( 0 , - 3.5 ) , ( - 9 , 0 ) ?","answer":63.0,"reasoning":"n0 = 0.0\nn1 = 3.5\nn2 = 9.0\nn3 = 0.0\nn4 = 0.0\nn5 = 3.5\nn6 = 9.0\nn7 = 0.0\nt0 = n2 * 2.0\nt1 = n1 * 2.0\nanswer = t0 * t1 \/ 2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"12 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 ?","answer":150.0,"reasoning":"n0 = 12.0\nn1 = 7.0\nt0 = n0 * n1\nt1 = n0 - 1.0\nt2 = n0 * t1\nt3 = t2 \/ 2.0\nanswer = t3 + t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"what is the measure of the angle e made by the diagonals of the any adjacent sides of a cube .","answer":60.0,"reasoning":"\nanswer = 180.0 \/ 3.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"right triangle pqr is to be constructed in the xy - plane so that the right angle is at p and pr is parallel to the x - axis . the x and y coordinates of p , q and r are to be integers that satisfy the inequalitites - 4 \u2264 x \u2264 5 and 6 \u2264 y \u2264 16 . how many different triangles with these properties could be constructed ?","answer":9900.0,"reasoning":"n0 = 4.0\nn1 = 5.0\nn2 = 6.0\nn3 = 16.0\nt0 = n0 + n2\nt1 = n3 - n1\nt2 = 10.0 - 1.0\nt3 = t0 * t1\nt4 = t3 * t2\nanswer = t4 * 10.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"what is the ratio between perimeters of two squares one having 11 times the diagonal then the other ?","answer":11.0,"reasoning":"n0 = 11.0\nt0 = n0 \/ n0\nanswer = n0 \/ t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the points a ( 0 , 0 ) , b ( 0 , 4 a - 2 ) and c ( 2 a + 1 , 2 a + 6 ) form a triangle . if angle abc = 90 , what is the area of triangle abc ?","answer":63.0,"reasoning":"n0 = 0.0\nn1 = 0.0\nn2 = 0.0\nn3 = 4.0\nn4 = 2.0\nn5 = 2.0\nn6 = 1.0\nn7 = 2.0\nn8 = 6.0\nn9 = 90.0\nt0 = n4 + n8\nt1 = n3 - n4\nt2 = t0 \/ n4\nt3 = t2 * t1\nt4 = n3 * t2\nt5 = t3 + 1.0\nt6 = t4 - n4\nt7 = t5 * t6\nanswer = t7 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a clockwise rotation around point z ( that is , a rotation in the direction of the arrow ) transforms the shaded quadrilateral to the unshaded quadrilateral . the angle of rotation is approximately","answer":270.0,"reasoning":"t0 = 3600.0 \/ 10.0\nt1 = t0 \/ 4.0\nanswer = t0 - t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a rectangular tiled patio is composed of 126 square tiles . the rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles . after the change in layout , the patio will still have 126 tiles , and it will still be rectangular . how many rows are in the tile patio before the change in layout ?","answer":9.0,"reasoning":"import math\nn0 = 126.0\nn1 = 2.0\nn2 = 4.0\nn3 = 126.0\nt0 = n0 * n1\nt1 = -n2\nt2 = n2**min(2.0, 5)\nt3 = n2 * t0\nt4 = t3 + t2\nt5 = math.sqrt(max(0, t4))\nt6 = t1 + t5\nt7 = t6 \/ 2.0\nanswer = n0 \/ t7\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a box measuring 36 inches long by 45 inches wide by 18 inches deep is to be filled entirely with identical cubes . no space is to be left unfilled . what is the smallest number of cubes that can accomplish this objective ?","answer":40.0,"reasoning":"n0 = 36.0\nn1 = 45.0\nn2 = 18.0\nt0 = n2 \/ 2.0\nt1 = n0 * n1\nt2 = n2 * t1\nt3 = t0**3\nanswer = t2 \/ t3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 12 cm each . the radius of the sphere is :","answer":6.0,"reasoning":"import math\nn0 = 12.0\nt0 = n0 \/ 2.0\nt1 = 4.0 * 3.141592653589793\nt2 = n0 * t0\nt3 = t2 * 3.141592653589793\nt4 = t3 * 2.0\nt5 = t4 \/ t1\nanswer = math.sqrt(max(0, t5))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the diagonals of a rhombus are 25 cm and 30 cm . find its area ?","answer":375.0,"reasoning":"n0 = 25.0\nn1 = 30.0\n\nanswer = n0 * n1 \/ 2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the perimeter of one face of a cube is 24 cm . its volume will be :","answer":216.0,"reasoning":"n0 = 24.0\nt0 = n0 \/ 4. # square edge given perimeter\nanswer = t0**3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"rectangle a has sides a and b , and rectangle b has sides c and d . if a \/ c = b \/ d = 2 \/ 3 , what is the ratio of rectangle a \u2019 s area to rectangle b \u2019 s area ?","answer":0.4444444444,"reasoning":"n0 = 2.0\nn1 = 3.0\nt0 = n0**min(2.0, 5)\nt1 = n1**min(2.0, 5)\nanswer = t0 \/ t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"one side of a rectangular field is 14 m and one of its diagonal is 17 m . find the area of the field .","answer":135.0111106539,"reasoning":"import math\nn0 = 14.0\nn1 = 17.0\nt0 = n1**min(2.0, 5)\nt1 = n0**min(2.0, 5)\nt2 = t0 - t1\nt3 = math.sqrt(max(0, t2))\nanswer = n0 * t3  # area of rectangle\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the side length of square b is four times that of square a , the area of square b is how many times the area of square a ?","answer":16.0,"reasoning":"\nanswer = 4.0 * 4.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 . 9 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each ?","answer":8154.0,"reasoning":"n0 = 25.0\nn1 = 15.0\nn2 = 12.0\nn3 = 9.0\nn4 = 6.0\nn5 = 3.0\nn6 = 4.0\nn7 = 3.0\nt0 = n0 + n1\nt1 = n2 * 2.0\nt2 = n4 * n5\nt3 = n5 * n6\nt4 = t0 * t1\nt5 = n5 * t3\nt6 = t4 - t2\nt7 = t6 - t5\nanswer = n3 * t7\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the circumferences of two circles are 132 meters and 352 meters . find the difference between the areas of the larger and the smaller circles ?","answer":8473.4091702125,"reasoning":"import math\nn0 = 132.0\nn1 = 352.0\nt0 = 2.0 * 3.141592653589793\nt1 = n1 \/ t0\nt2 = n0 \/ t0\nt3 = math.pi * t1**2\nt4 = math.pi * t2**2\nanswer = t3 - t4\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a rectangular field is to be fenced on three sides leaving a side of 10 feet uncovered . if the area of the field is 600 sq . ft , how many feet of fencing will be required ?","answer":130.0,"reasoning":"n0 = 10.0\nn1 = 600.0\nt0 = n1 \/ n0\nt1 = t0 * 2.0\nanswer = n0 + t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 60 cm , find the sum of the perimeters of all the triangles .","answer":360.0,"reasoning":"n0 = 2.0\nn1 = 1.0\nn2 = 3.0\nn3 = 2.0\nn4 = 1.0\nn5 = 60.0\nt0 = n5 + n5 + n5  # perimeter of a triangle\nanswer = t0 + t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the side of a square is increased by 5 % then how much % does its area increases ?","answer":10.25,"reasoning":"n0 = 5.0\nt0 = n0 + 100.0\nt1 = 100.0**2\nt2 = t0**2\nt3 = t2 - t1\nt4 = t3 * 100.0\nanswer = t4 \/ t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the circumferences of two circles are 660 meters and 704 meters . find the difference between the areas of the larger and the smaller circles ?","answer":4775.9215323016,"reasoning":"import math\nn0 = 660.0\nn1 = 704.0\nt0 = 2.0 * 3.141592653589793\nt1 = n1 \/ t0\nt2 = n0 \/ t0\nt3 = math.pi * t1**2\nt4 = math.pi * t2**2\nanswer = t3 - t4\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"which is the smallest number divides 2800 and gives a perfect square .","answer":7.0,"reasoning":"n0 = 2800.0\nt0 = 2.0 + 3.0\nt1 = n0 \/ 2.0\nt2 = t1 \/ 2.0\nt3 = t2 \/ 2.0\nt4 = t3 \/ 2.0\nt5 = t4 \/ t0\nanswer = t5 \/ t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the volume of two cubes are in the ratio 8 : 1 , the ratio of their edges is :","answer":2.0,"reasoning":"n0 = 8.0\nn1 = 1.0\n\nanswer = n0**(1 \/ 3)\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"in a parallelogram , the length of one diagonal and the perpendicular dropped on that diagonal are 30 and 20 metres respectively . find its area","answer":600.0,"reasoning":"n0 = 30.0\nn1 = 20.0\n\nanswer = n0 * n1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"an error 2 % in excess ismade while measuring the side ofa square . the % of error in the calculated area of the square is ?","answer":4.04,"reasoning":"n0 = 2.0\nt0 = n0 + 100.0\nt1 = 100.0 * 100.0\nt2 = t0 * t0\nt3 = t2 - t1\nanswer = t3 \/ 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the cost of the paint is rs . 36.50 per kg . if 1 kg of paint covers 16 sq . ft , how much will it cost to paint outside of a cube having 8 feet each side","answer":876.0,"reasoning":"n0 = 36.5\nn1 = 1.0\nn2 = 16.0\nn3 = 8.0\nt0 = 6 * n3**2  # surface of a cube\nt1 = t0 \/ n2\nanswer = n0 * t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a rectangular lawn of dimensions 120 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 ?","answer":5100.0,"reasoning":"n0 = 120.0\nn1 = 60.0\nn2 = 10.0\nn3 = 3.0\nt0 = n0 + n1\nt1 = t0 - n2\nt2 = n2 * t1\nanswer = n3 * t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"find the area of a parallelogram with base 26 cm and height 12 cm ?","answer":312.0,"reasoning":"n0 = 26.0\nn1 = 12.0\n\nanswer = n0 * n1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 the areas of four walls , the volume of the hall is","answer":1200.0,"reasoning":"n0 = 15.0\nn1 = 12.0\nt0 = n1 * 2.0\nt1 = n0 * 2.0\nt2 = n0 * n1  # area of rectangle\nt3 = t0 + t1\nt4 = t2 * 2.0\nt5 = t4 \/ t3\nanswer = n0 * n1 * t5\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the side of a square is increased by 10 % then how much % does its area increases ?","answer":21.0,"reasoning":"n0 = 10.0\nt0 = n0 + 100.0\nt1 = 100.0**2\nt2 = t0**2\nt3 = t2 - t1\nt4 = t3 * 100.0\nanswer = t4 \/ t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if circles x and y have the same area and circle x has a circumference of 14 \u03c0 , half of the radius of circle y is :","answer":3.5,"reasoning":"n0 = 14.0\nt0 = n0 \/ 2.0\nanswer = t0 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"find the curved surface area , if the radius of a cone is 35 m and slant height is 30 m ?","answer":3298.6722862693,"reasoning":"n0 = 35.0\nn1 = 30.0\nt0 = n0 * n1\nanswer = t0 * 3.141592653589793\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the area of a square with sides of length 12 centimeters is equal to the area of a rectangle with a width of 6 centimeters , what is the length of the rectangle , in centimeters ?","answer":24.0,"reasoning":"n0 = 12.0\nn1 = 6.0\nt0 = n0**min(2.0, 5)\nanswer = t0 \/ n1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"in an electric circuit , three resistors with resistances 2 ohms , 5 ohms and 6 ohms are connected in parallel . in this case , if r is the combined resistance of these three resistors , then the reciprocal of r is equal to the sum of the reciprocals resistors . what is r value ?","answer":0.8666666667,"reasoning":"n0 = 2.0\nn1 = 5.0\nn2 = 6.0\nt0 = 1.0 \/ n0\nt1 = 1.0 \/ n1\nt2 = 1.0 \/ n2\nt3 = t0 + t1\nanswer = t3 + t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":25.0,"reasoning":"n0 = 20.0\nn1 = 2.5\n\nanswer = n0 * n1 \/ 2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"in front of you lies a figure made up with 20 x 10 square blocks . will you be able to find out the number of unique squares and rectangles that are being formed inside this figure by combining two or more distinct squares ?","answer":11550.0,"reasoning":"n0 = 20.0\nn1 = 10.0\nt0 = n0 + 1.0\nt1 = n1 + 1.0\nt2 = n0 * t0\nt3 = n1 * t1\nt4 = t2 \/ 2.0\nt5 = t3 \/ 2.0\nanswer = t4 * t5\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a cube is painted red on all faces . it is then cut into 27 equal smaller cubes . how many j cubes are painted on only 2 faces ?","answer":12.0,"reasoning":"n0 = 27.0\nn1 = 2.0\nt0 = 1.0 \/ 3.0\nt1 = n0**min(t0, 5)\nanswer = t1 * 4.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"one side of a rectangular field is 16 m and one of its diagonal is 17 m . find the area of the field .","answer":91.9130023446,"reasoning":"import math\nn0 = 16.0\nn1 = 17.0\nt0 = n1**min(2.0, 5)\nt1 = n0**min(2.0, 5)\nt2 = t0 - t1\nt3 = math.sqrt(max(0, t2))\nanswer = n0 * t3  # area of rectangle\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"an entry in an unshaded square is obtained by adding the entries connected to it from the row above ( 11 is one such number ) . write the value of n ?","answer":10.0,"reasoning":"n0 = 11.0\nt0 = n0 * 3.0\nt1 = t0 - 3.0\nanswer = t1 \/ 3.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a wire can be bent in the form of a circle of radius 56 cm . if it is bent in the form of a square , then its area will be ?","answer":7737.7698504541,"reasoning":"import math\nn0 = 56.0\nt0 = 2 * math.pi * n0\nt1 = t0 \/ 4.0\nanswer = t1**min(2.0, 5)\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the diagonal of the floor of a rectangular closet is 7 feet . the shorter side of the closet is 4 feet . what is the area of the closet in square feet ?","answer":27.0,"reasoning":"import math\nn0 = 7.0\nn1 = 4.0\nt0 = 2.0 * 4.0\nt1 = n0 * 2.0\nt2 = t0 + 1.0\nt3 = t1 + 1.0\nt4 = t2 \/ 2.0\nt5 = t3 \/ 2.0\nt6 = t5**min(2.0, 5)\nt7 = t4**min(2.0, 5)\nt8 = t6 - t7\nt9 = math.sqrt(max(0, t8))\nanswer = t4 * t9  # area of rectangle\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of a square garden is q square feet and the perimeter is p feet . if q = p + 21 , what is the perimeter of the garden in feet ?","answer":28.0,"reasoning":"n0 = 21.0\nt0 = 4.0 - 1.0\nt1 = n0 \/ t0\nanswer = t1 * 4.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"what is the area of a square field whose diagonal of length 10 m ?","answer":50.0,"reasoning":"n0 = 10.0\nt0 = n0**2\nanswer = t0 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the perimeter of a triangle is 20 cm and the inradius of the triangle is 3 cm . what is the area of the triangle ?","answer":30.0,"reasoning":"n0 = 20.0\nn1 = 3.0\n\nanswer = n0 * n1 \/ 2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the perimeter of a triangle is 40 cm and the inradius of the triangle is 2.5 cm . what is the area of the triangle","answer":50.0,"reasoning":"n0 = 40.0\nn1 = 2.5\n\nanswer = n0 * n1 \/ 2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the radius of a circle that centers at the origin is 5 , how many points q on the circle have integer coordinates ?","answer":12.0,"reasoning":"n0 = 5.0\nt0 = n0 + 4.0\nt1 = n0 * n0\nt2 = 2.0**min(2.0, 5)\nt3 = t1 - t0\nanswer = t3 - t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the length of a rectangular plot is thrice its breadth . if the area of the rectangular plot is 675 sq m , then what is the breadth of the rectangular plot ?","answer":15.0,"reasoning":"import math\nn0 = 675.0\nt0 = n0 \/ 3.0\nanswer = math.sqrt(max(0, t0))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a diagonal of a polygon is an segment between two non - adjacent vertices of the polygon . how many diagonals does a regular 40 - sided polygon have ?","answer":740.0,"reasoning":"n0 = 40.0\nt0 = n0 - 3.0\nt1 = n0 * t0\nanswer = t1 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a rectangle the length of which is 8 inches and the width of which is 6 inches is made up 48 1 inch by 1 inch squares . through how many of the squares does a diagonal of the rectangle pass ?","answer":12.0,"reasoning":"n0 = 8.0\nn1 = 6.0\nn2 = 48.0\nn3 = 1.0\nn4 = 1.0\nt0 = n0 + n1\nanswer = t0 - 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"each of the 9 squares shown is to contain one number chosen from 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , and 9 . no number is to be repeated . suppose the sum of the 5 squares aligned vertically on the right is 32 and that the sum of the 5 squares aligned horizontally on the bottom is 20 . what number goes in the shared corner square ?","answer":7.0,"reasoning":"n0 = 9.0\nn1 = 1.0\nn2 = 2.0\nn3 = 3.0\nn4 = 4.0\nn5 = 5.0\nn6 = 6.0\nn7 = 7.0\nn8 = 8.0\nn9 = 9.0\nn10 = 5.0\nn11 = 32.0\nn12 = 5.0\nn13 = 20.0\nt0 = n1 + n2\nanswer = n4 + t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the length of a rectangle is twice its breadth . if its length is decreased by 5 cm and breadth is increased by 4 cm , the area of the rectangle is increased by 75 sq . cm . find the length of the rectangle .","answer":33.3333333333,"reasoning":"n0 = 5.0\nn1 = 4.0\nn2 = 75.0\n\nanswer = 100.0 \/ 3.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a parallelogram has a base that is four time the size of it ' s height . the total area of this parallelogram is 2,304 sq ft . what is the height of the parallelogram ?","answer":24.0,"reasoning":"import math\nn0 = 2304.0\nt0 = 1000.0 * 2.0\nt1 = 100.0 * 3.0\nt2 = t0 + t1\nt3 = t2 + 4.0\nt4 = t3 \/ 4.0\nanswer = math.sqrt(max(0, t4))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a hall is 18 meters long and 9 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 ) ?","answer":972.0,"reasoning":"n0 = 18.0\nn1 = 9.0\nt0 = n0 * n1  # area of rectangle\nt1 = 2 * (n0 + n1)  # perimetere of rectangle\nt2 = t0 * 2.0\nt3 = t2 \/ t1\nanswer = n0 * n1 * t3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 3 m , the volume of the box ( in m 3 ) is :","answer":3780.0,"reasoning":"n0 = 48.0\nn1 = 36.0\nn2 = 3.0\nn3 = 3.0\nt0 = n2 * 2.0\nt1 = n0 - t0\nt2 = n1 - t0\nanswer = n2 * t1 * t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"how many diagonals does a polygon with 13 sides have , if one of its vertices does not connect to any diagonal ?","answer":54.0,"reasoning":"n0 = 13.0\nt0 = n0 - 1.0\nt1 = t0 - 3.0\nt2 = t0 * t1\nanswer = t2 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"find the area of the quadrilateral of one of its diagonals is 22 cm and its off sets 9 cm and 6 cm ?","answer":165.0,"reasoning":"n0 = 22.0\nn1 = 9.0\nn2 = 6.0\nt0 = n1 + n2\nt1 = 1.0 \/ 2.0\nt2 = t0 * t1\nanswer = n0 * t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"can c and can \u0432 are both right circular cylinders . the radius of can c is twice the radius of can b , while the height of can c 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 c with the same brand of gasoline ?","answer":16.0,"reasoning":"n0 = 4.0\nt0 = n0 * 2.0\nanswer = t0 * 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the edge of a cube is 4 a cm . find its surface ?","answer":96.0,"reasoning":"n0 = 4.0\n\nanswer = 6 * n0**2  # surface of a cube\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 800 sq . ft , how many feet of fencing will be required ?","answer":100.0,"reasoning":"n0 = 20.0\nn1 = 800.0\nt0 = n1 \/ n0\nt1 = t0 * 2.0\nanswer = n0 + t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"in a rectangular coordinate system , what is the area of a rhombus whose vertices have the coordinates ( 0 , 3.5 ) , ( 12 , 0 ) , ( 0 , - 3.5 ) , ( - 12 , 0 ) ?","answer":84.0,"reasoning":"n0 = 0.0\nn1 = 3.5\nn2 = 12.0\nn3 = 0.0\nn4 = 0.0\nn5 = 3.5\nn6 = 12.0\nn7 = 0.0\nt0 = n2 * 2.0\nt1 = n1 * 2.0\nanswer = t0 * t1 \/ 2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a cube is painted red on all faces . it is then cut into 27 equal smaller cubes . how many cubes are painted on only 2 faces ?","answer":12.0,"reasoning":"n0 = 27.0\nn1 = 2.0\nt0 = 1.0 \/ 3.0\nt1 = n0**min(t0, 5)\nanswer = t1 * 4.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"rectangle a has sides a and b , and rectangle b has sides c and d . if a \/ c = b \/ d = 2 \/ 5 , what is the ratio of rectangle a \u2019 s area to rectangle b \u2019 s area ?","answer":0.16,"reasoning":"n0 = 2.0\nn1 = 5.0\nt0 = n0**min(2.0, 5)\nt1 = n1**min(2.0, 5)\nanswer = t0 \/ t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a square mirror has exactly half the area of the rectangular wall on which it is hung . if each side of the mirror is 18 inches and the width of the wall is 32 inches , what is the length of the wall , in inches ?","answer":20.25,"reasoning":"n0 = 18.0\nn1 = 32.0\nt0 = n0**2\nt1 = t0 * 2.0\nanswer = t1 \/ n1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"find the surface area of a 8 cm x 6 cm x 2 cm brick .","answer":152.0,"reasoning":"n0 = 8.0\nn1 = 6.0\nn2 = 2.0\n\nanswer = 2 * (n0 * n1 + n0 * n2 + n1 * n2)  # surface of a rectangular prism\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a lady builds 9 cm length , 12 cm width , and 3 cm height box using 3 cubic cm cubes . what is the minimum number of cubes required to build the box ?","answer":108.0,"reasoning":"n0 = 9.0\nn1 = 12.0\nn2 = 3.0\nn3 = 3.0\nt0 = n0 * n1\nt1 = n2 * t0\nanswer = t1 \/ n3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the length of the longest chord of a certain circle is 10 , what is the radius of that certain circle ?","answer":5.0,"reasoning":"n0 = 10.0\n\nanswer = n0 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a cube has a volume of 216 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 ?","answer":1728.0,"reasoning":"n0 = 216.0\nt0 = n0**(1 \/ 3)\nt1 = t0 * 2.0\nanswer = t1**3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of a triangle is with base 10 m and height 10 m ?","answer":50.0,"reasoning":"n0 = 10.0\nn1 = 10.0\n\nanswer = n0 * n1 \/ 2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"what will be the cost of building to paint which area equal to 196 sq ft , if the price per foot of building is rs . 15 ?","answer":840.0,"reasoning":"import math\nn0 = 196.0\nn1 = 15.0\nt0 = math.sqrt(max(0, n0))\nt1 = 4 * t0\nanswer = n1 * t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"34 . the side surface of a cylinder is rolled with a rectangular plate . if the perimeter of the circular base is 6 feet , and the diagonal of the rectangular plate was 10 ft . what is height of the of the cylinder ?","answer":8.0,"reasoning":"import math\nn0 = 34.0\nn1 = 6.0\nn2 = 10.0\nt0 = n2**min(2.0, 5)\nt1 = n1**min(2.0, 5)\nt2 = t0 - t1\nanswer = math.sqrt(max(0, t2))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"you buy a piece of land with an area of \u00e2 \u02c6 \u0161 400 , how long is one side of the land plot ?","answer":20.0,"reasoning":"import math\nn0 = 400.0\n\nanswer = math.sqrt(max(0, n0))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the surface area of a sphere is 4 \u03c0 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 w of that hemisphere ?","answer":9.0,"reasoning":"n0 = 4.0\nn1 = 2.0\nn2 = 3.0\nt0 = n2 \/ 3.141592653589793\nt1 = n0 * 3.141592653589793\nt2 = t0 * t1\nt3 = t0 * 3.141592653589793\nt4 = t2 \/ n1\nanswer = t4 + t3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"an error 2 % in excess is made while measuring the side of asquare . the % of error in the calculated area of the square is ?","answer":4.04,"reasoning":"n0 = 2.0\nt0 = n0 + 100.0\nt1 = 100.0**2\nt2 = t0**2\nt3 = t2 - t1\nt4 = t3 * 100.0\nanswer = t4 \/ t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"four circular cardboard pieces , each of radius 7 cm are placed in such a way that each piece touches two other pieces . the area of the space encosed by the four pieces is. four circular cardboard pieces , each of radius 7 cm are placed in such a way that each piece touches two other pieces . the area of the space encosed by the four pieces is","answer":42.0619599741,"reasoning":"n0 = 7.0\nn1 = 7.0\nt0 = n0 * 2.0\nt1 = n0**min(2.0, 5)\nt2 = t1 * 3.141592653589793\nt3 = t0**min(2.0, 5)\nanswer = t3 - t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 211 cabbages when compared to last year . the shape of the area used for growing the cabbage has remained a square in both these years . how many cabbages did she produce this year ?","answer":11236.0,"reasoning":"n0 = 1.0\nn1 = 211.0\nt0 = n1 - n0\nt1 = t0 \/ 2.0\nt2 = n0 + t1\nanswer = t2**min(2.0, 5)\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"what will be the percentage increase in the area of the cube ' s surface if each of the cube ' s edges grows by 60 % ?","answer":156.0,"reasoning":"n0 = 60.0\nt0 = n0 \/ 100.0\nt1 = t0 + 1.0\nt2 = t1**min(2.0, 5)\nt3 = t2 - 1.0\nanswer = t3 * 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the rhombus ( afce ) is inscribed in rectangle ( abcd ) . the length of bf = de . if the rectangle has a width of 20 yards and a length of 25 yards , what would be the total length ( the perimeter ) of a fence along the sides defined by afce ?","answer":82.0,"reasoning":"n0 = 20.0\nn1 = 25.0\nt0 = n1 * 2.0\nt1 = n1**min(2.0, 5)\nt2 = n0**min(2.0, 5)\nt3 = t1 - t2\nt4 = t3 \/ t0\nt5 = n1 - t4\nanswer = t5 * 4.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of a circular field is 17.56 hectares . find the cost of fencing it at the rate of rs . 6 per metre approximately","answer":8912.887774214,"reasoning":"import math\nn0 = 17.56\nn1 = 6.0\nt0 = n0 \/ 3.141592653589793\nt1 = math.sqrt(max(0, t0))\nt2 = t1 * 100.0\nt3 = 2 * math.pi * t2\nanswer = t3 * n1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of a square field is 400 km 2 . how long will it take for a horse to run around at the speed of 20 km \/ h ?","answer":4.0,"reasoning":"import math\nn0 = 400.0\nn1 = 2.0\nn2 = 20.0\nt0 = math.sqrt(max(0, n0))\nt1 = t0 * 4.0\nanswer = t1 \/ n2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the sides of a triangle are 52 cm , 48 cm and 20 cm , what is its area ?","answer":480.0,"reasoning":"n0 = 52.0\nn1 = 48.0\nn2 = 20.0\nt0 = n1 * n2\nanswer = t0 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a semicircular cubicle has a radius of 14 . what is the approximate perimeter of the cubicle ?","answer":71.9822971503,"reasoning":"n0 = 14.0\nt0 = n0 * 3.141592653589793\nt1 = n0 * 2.0\nanswer = t0 + t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the area of a circle decreases by 36 % , then the radius of a circle decreases by","answer":20.0,"reasoning":"import math\nn0 = 36.0\nt0 = 100.0 - n0\nt1 = t0 \/ 100.0\nt2 = math.sqrt(max(0, t1))\nt3 = 1.0 - t2\nanswer = t3 * 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a metallic sheet is of rectangular shape with dimensions 50 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 :","answer":5440.0,"reasoning":"n0 = 50.0\nn1 = 36.0\nn2 = 8.0\nn3 = 3.0\nt0 = n2 * 2.0\nt1 = n0 - t0\nt2 = n1 - t0\nanswer = n2 * t1 * t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"find the area of a parallelogram with base 26 cm and height 14 cm ?","answer":364.0,"reasoning":"n0 = 26.0\nn1 = 14.0\n\nanswer = n0 * n1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the ratio between the length and the breadth of a rectangular plot is 7 : 5 . if the perimeter of the plot is 288 metres , what is its area ?","answer":5040.0,"reasoning":"n0 = 7.0\nn1 = 5.0\nn2 = 288.0\nt0 = n0 \/ n1\nt1 = t0 + 1.0\nt2 = t1 * 2.0\nt3 = n2 \/ t2\nt4 = n0 * t3\nt5 = t4 \/ n1\nanswer = t5 * t3  # area of rectangle\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the size of a flat - screen television is given as the length of the screen \u2019 s diagonal . how many square inches greater is the screen of a square 24 - inch flat - screen television than a square 17 - inch flat - screen television ?","answer":143.5,"reasoning":"n0 = 24.0\nn1 = 17.0\nt0 = n0**min(2.0, 5)\nt1 = n1**min(2.0, 5)\nt2 = t0 \/ 2.0\nt3 = t1 \/ 2.0\nanswer = t2 - t3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the length of a rectangle is halved , whileits breadth is tripled . wat is the % change in area ?","answer":50.0,"reasoning":"t0 = 1.0 \/ 2.0\nt1 = t0 * 3.0\nt2 = t1 - 1.0\nt3 = t2 \/ 1.0\nanswer = t3 * 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the breadth of a rectangular field is 60 % of its length . if the perimeter of the field is 800 m , find out the area of the field .","answer":37500.0,"reasoning":"n0 = 60.0\nn1 = 800.0\nt0 = n1 \/ 2.0\nt1 = n0 \/ 100.0\nt2 = t1 + 1.0\nt3 = t0 \/ t2\nt4 = t0 - t3\nanswer = t3 * t4\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the perimeter of one face of a cube is 28 cm . its volume will be :","answer":343.0,"reasoning":"n0 = 28.0\nt0 = n0 \/ 4. # square edge given perimeter\nanswer = t0**3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the perimeters of 2 squares are 60 cm and 48 cm . find the perimeter of a third square whose area is equal to the difference of the areas of the two squares ?","answer":36.0,"reasoning":"import math\nn0 = 2.0\nn1 = 60.0\nn2 = 48.0\nt0 = n1 \/ 4.0\nt1 = n2 \/ 4.0\nt2 = t0**2\nt3 = t1**2\nt4 = t2 - t3\nt5 = math.sqrt(max(0, t4))\nanswer = 4 * t5\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"find the surface area of a 10 cm * 4 cm * 3 cm brick .","answer":164.0,"reasoning":"n0 = 10.0\nn1 = 4.0\nn2 = 3.0\n\nanswer = 2 * (n0 * n1 + n0 * n2 + n1 * n2)  # surface of a rectangular prism\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the largest four - digit number which is a perfect cube , is","answer":9261.0,"reasoning":"t0 = 10.0 * 2.0\nt1 = t0 + 1.0\nanswer = t1**min(3.0, 5)\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"in measuring the sides of a rectangle , one side is taken 7 % in excess , and the other 6 % in deficit . find the error percent in the area calculated from these measurements .","answer":0.58,"reasoning":"n0 = 7.0\nn1 = 6.0\nt0 = n0 * n1\nt1 = n0 - n1\nt2 = t0 \/ 100.0\nanswer = t1 - t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"10 business executives and 3 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 ?","answer":75.0,"reasoning":"n0 = 10.0\nn1 = 3.0\nt0 = n0 * n1\nt1 = n0 - 1.0\nt2 = n0 * t1\nt3 = t2 \/ 2.0\nanswer = t3 + t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a lawn is in the form of a rectangle having its sides in the ratio 2 : 3 . the area of the lawn is ( 1 \/ 6 ) hectares . find the length and breadth of the lawn .","answer":50.0,"reasoning":"n0 = 2.0\nn1 = 3.0\nn2 = 1.0\nn3 = 6.0\nt0 = 10.0 * 1000.0\nt1 = t0 \/ n3\nt2 = n1 * t1\nanswer = t2 \/ 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"an error 2 % in excess is made while measuring the sideofa square . the % of error in the calculated area of the square is ?","answer":4.04,"reasoning":"n0 = 2.0\nt0 = n0 + 100.0\nt1 = 100.0**2\nt2 = t0**2\nt3 = t2 - t1\nt4 = t3 * 100.0\nanswer = t4 \/ t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"find the perimeter and area of a square of side 11 cm .","answer":121.0,"reasoning":"n0 = 11.0\n\nanswer = n0**2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"what is the area of a square field whose diagonal of length 12 m ?","answer":72.0,"reasoning":"n0 = 12.0\nt0 = n0**2\nanswer = t0 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"it has been raining at the rate of 5 centimeters per hour . if the rain filled a cylindrical drum with a depth of 15 centimeters , and area 300 square centimeters , how long did it take to fill the drum completely ?","answer":3.0,"reasoning":"n0 = 5.0\nn1 = 15.0\nn2 = 300.0\n\nanswer = n1 \/ n0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the length and breadth of a rectangle is increased by 30 % and 45 % respectively . what is the increase in the area ?","answer":88.5,"reasoning":"n0 = 30.0\nn1 = 45.0\nt0 = n0 + 100.0\nt1 = n1 + 100.0\nt2 = 100.0 * 100.0  # area of rectangle\nt3 = t0 * t1  # area of rectangle\nt4 = t3 - t2\nt5 = t4 * 100.0\nanswer = t5 \/ t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"find the area of the quadrilateral of one of its diagonals is 50 cm and its off sets 10 cm and 8 cm ?","answer":450.0,"reasoning":"n0 = 50.0\nn1 = 10.0\nn2 = 8.0\nt0 = n1 + n2\nt1 = 1.0 \/ 2.0\nt2 = t0 * t1\nanswer = n0 * t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"what is the maximum number e of 27 cubic centimetre cubes that can fit in a rectangular box measuring 8 centimetre x 9 centimetre x 12 centimetre ?","answer":24.0,"reasoning":"import math\nn0 = 27.0\nn1 = 8.0\nn2 = 9.0\nn3 = 12.0\nt0 = 1 \/ 3.0\nt1 = n0**min(t0, 5)\nt2 = n1 \/ t1\nt3 = n3 \/ t1\nt4 = n2 \/ t1\nt5 = math.floor(t2)\nt6 = t3 * t4\nanswer = t5 * t6\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 60 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 ?","answer":104.8,"reasoning":"n0 = 100.0\nn1 = 60.0\nt0 = n0 \/ n0\nt1 = t0 + 1.0\nt2 = n1 * t1\nt3 = t1**2\nt4 = t3 + 1.0\nt5 = t2 \/ n0\nt6 = t1 + t5\nt7 = t6**2\nt8 = t7 - 1.0\nt9 = t8 - 4.0\nt10 = t9 \/ t4\nanswer = n0 * t10\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of sector of a circle whose radius is 10 metro and whose angle at the center is 42 \u00e2 \u00b0 is ?","answer":36.6666666667,"reasoning":"n0 = 10.0\nn1 = 42.0\nt0 = 3.0 + 4.0\nt1 = 3600.0 \/ 10.0\nt2 = 10.0 * 2.0\nt3 = n0**min(2.0, 5)\nt4 = t2 + 2.0\nt5 = n1 \/ t1\nt6 = t4 \/ t0\nt7 = t6 * t3\nanswer = t5 * t7\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a football field is 10800 square yards . if 1200 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 ?","answer":400.0,"reasoning":"n0 = 10800.0\nn1 = 1200.0\nn2 = 3600.0\nt0 = n1 \/ n0\nanswer = n2 * t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"while visiting a small town in the united states , i lost my overcoat in a bus . when i reported the matter to the bus company i was asked the number of the bus . though i did not remember the exact number i did remember that the bus number bad a certain peculiarity about it . the number plate showed the bus number as a perfect square and also if the plate was turned upside down . ? the number would still be a perfect square \u2014 of course it was not ? i came to know from the bus company they had only 5 100 buses numbered from 1 to 500 . from this i was able to deduce the bus number . can you tell what was the other number .","answer":196.0,"reasoning":"n0 = 5.0\nn1 = 100.0\nn2 = 1.0\nn3 = 500.0\nt0 = n1 - 4.0\nanswer = t0 + 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 3600 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 10 units ?","answer":240.0,"reasoning":"import math\nn0 = 3600.0\nn1 = 10.0\nt0 = n1 \/ 2.0\nt1 = math.sqrt(max(0, n0))\nt2 = t1 \/ t0\nt3 = t2 * 2.0\nanswer = n1 * t3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"when the oil from a circular cylinder leaked , the formula for the speed of the leak is v = kh ^ 2 , where h was the height of the remaining oil and k was constant . if the height of the cylinder is 4 , the speed of the leak is v \u00e2 \u20ac \u2122 , when the height of the oil remaining is 12 , what was the speed of the leak , in terms of v \u00e2 \u20ac \u2122 ?","answer":9.0,"reasoning":"n0 = 2.0\nn1 = 4.0\nn2 = 12.0\nt0 = n2**min(2.0, 5)\nt1 = n1**min(2.0, 5)\nanswer = t0 \/ t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a rectangular lawn of dimensions 110 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 ?","answer":4800.0,"reasoning":"n0 = 110.0\nn1 = 60.0\nn2 = 10.0\nn3 = 3.0\nt0 = n0 + n1\nt1 = t0 - n2\nt2 = n2 * t1\nanswer = n3 * t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"spheres a and b have their radil 40 cm and 10 cm respectively . the ratio of the surface area of a to the surface area of b is","answer":16.0,"reasoning":"import math\nn0 = 40.0\nn1 = 10.0\nt0 = 4 * math.pi * n0**2\nt1 = 4 * math.pi * n1**2\nanswer = t0 \/ t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 . 910 . the perimeter of the plot is ?","answer":140.0,"reasoning":"n0 = 10.0\nn1 = 6.5\nn2 = 910.0\nt0 = n2 \/ n1\nt1 = t0 \/ 2.0\nt2 = t1 - n0\nt3 = t2 \/ 2.0\nt4 = t3 + n0\nt5 = t4 + t3\nanswer = t5 * 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 10 cm each . the radius of the sphere is","answer":5.0,"reasoning":"import math\nn0 = 10.0\nt0 = n0 \/ 2.0\nt1 = 4.0 * 3.141592653589793\nt2 = n0 * t0\nt3 = t2 * 3.141592653589793\nt4 = t3 * 2.0\nt5 = t4 \/ t1\nanswer = math.sqrt(max(0, t5))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of an isosceles trapezoid with sides of length 5 and bases of length 10 and 16 is ?","answer":52.0,"reasoning":"n0 = 5.0\nn1 = 10.0\nn2 = 16.0\n\nanswer = 4.0 * (n2 + n1) \/ 2  # quadrilateral area\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"find the area of a parallelogram with base 10 cm and height 20 cm .","answer":200.0,"reasoning":"n0 = 10.0\nn1 = 20.0\n\nanswer = n0 * n1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a cube of edge 5 cm is immersed completely in a rectangular vessel containing water . if the dimensions of the base of vessel are 10 cm * 5 cm , find the rise in water level ?","answer":2.5,"reasoning":"n0 = 5.0\nn1 = 10.0\nn2 = 5.0\nt0 = n1 * n2\nt1 = n0**3\nanswer = t1 \/ t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a circular well with a diameter of 2 meters , is dug to a depth of 14 meters . what is the volume of the earth dug out .","answer":43.9822971503,"reasoning":"import math\nn0 = 2.0\nn1 = 14.0\nt0 = n0 \/ 2.0\nanswer = math.pi * t0**2 * n1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a square mirror has exactly half the area of the rectangular wall on which it is hung . if each side of the mirror is 54 inches and the width of the wall is 68 inches , what is the length of the wall , in inches ?","answer":85.7647058824,"reasoning":"n0 = 54.0\nn1 = 68.0\nt0 = n0**2\nt1 = t0 * 2.0\nanswer = t1 \/ n1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"triangle a \u2019 s base is 10 % greater than the base of triangle b , and a \u2019 s height is 10 % less than the height of triangle b . the area of triangle a is what percent less or more than the area of triangle b ?","answer":1.0,"reasoning":"import math\nn0 = 10.0\nn1 = 10.0\nt0 = math.floor(100.0)\nt1 = n0 * t0\nt2 = t1 \/ 100.0\nt3 = t2 + t0\nt4 = t0 - t2\nt5 = t3 * t4 \/ 2\nanswer = t5 \/ t5\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"an error 2 % in excess is made while measuring the side ofa square . the % of error in the calculated area of the square is ?","answer":4.04,"reasoning":"n0 = 2.0\nt0 = n0 + 100.0\nt1 = 100.0 * 100.0\nt2 = t0 * t0\nt3 = t2 - t1\nanswer = t3 \/ 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a semicircle has a radius of 14 . what is the approximate perimeter of the semicircle ?","answer":71.9822971503,"reasoning":"import math\nn0 = 14.0\nt0 = 2 * math.pi * n0\nt1 = n0 * 2.0\nt2 = t0 \/ 2.0\nanswer = t2 + t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a rectangular tank needs to be coated with insulation . the tank has dimensions of 3 feet , 5 feet , and 2 feet . each square foot of insulation costs $ 20 . how much will it cost to cover the surface of the tank with insulation ?","answer":1240.0,"reasoning":"n0 = 3.0\nn1 = 5.0\nn2 = 2.0\nn3 = 20.0\nt0 = 2 * (n0 * n1 + n0 * n2 + n1 * n2)  # surface of a rectangular prism\nanswer = n3 * t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"what is the % change in the area of a rectangle when its length increases by 20 % and its width decreases by 20 % ?","answer":4.0,"reasoning":"n0 = 20.0\nn1 = 20.0\nt0 = n0 + 100.0\nt1 = 100.0 - n0\nt2 = t0 * t1\nt3 = t2 \/ 100.0\nanswer = 100.0 - t3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a semicircle has a radius of 9 . what is the approximate perimeter of the semicircle ?","answer":46.2743338823,"reasoning":"import math\nn0 = 9.0\nt0 = 2 * math.pi * n0\nt1 = n0 * 2.0\nt2 = t0 \/ 2.0\nanswer = t2 + t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a certain farmer pays $ 60 per acre per month to rent farmland . how much does the farmer pay per month to rent a rectangular plot of farmland that is 360 feet by 1210 feet ? ( 43,560 square feet = 1 acre )","answer":600.0,"reasoning":"n0 = 60.0\nn1 = 360.0\nn2 = 1210.0\nn3 = 43560.0\nn4 = 1.0\nt0 = n1 * n2\nt1 = t0 \/ 10.0\nt2 = t0 \/ t1\nanswer = n0 * t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the side of a square is increased by 15 % then how much % does its area increases ?","answer":32.25,"reasoning":"n0 = 15.0\nt0 = n0 + 100.0\nt1 = 100.0**2\nt2 = t0**2\nt3 = t2 - t1\nt4 = t3 * 100.0\nanswer = t4 \/ t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a rectangular grass field is 60 m * 55 m , it has a path of 2.5 m wide all round it on the outside . find the area of the path and the cost of constructing it at rs . 2 per sq m ?","answer":1200.0,"reasoning":"n0 = 60.0\nn1 = 55.0\nn2 = 2.5\nn3 = 2.0\nt0 = n2 * n3\nt1 = n0 * n1  # area of rectangle\nt2 = n0 + t0\nt3 = n1 + t0\nt4 = t2 * t3  # area of rectangle\nt5 = t4 - t1\nanswer = n3 * t5\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of a parallelogram is 98 sq m and its altitude is twice the corresponding base . then the length of the base is ?","answer":7.0,"reasoning":"import math\nn0 = 98.0\nt0 = n0 \/ 2.0\nanswer = math.sqrt(max(0, t0))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"two cylinders are of the same height . their radii are in the ratio 1 : 3 . if the volume of the first cylinder is 40 cc . find the volume of the second cylinder ?","answer":360.0,"reasoning":"n0 = 1.0\nn1 = 3.0\nn2 = 40.0\nt0 = n1 * n1\nanswer = n2 * t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 16 cm each . the radius of the sphere is","answer":8.0,"reasoning":"import math\nn0 = 16.0\nt0 = n0 \/ 2.0\nt1 = 4.0 * 3.141592653589793\nt2 = n0 * t0\nt3 = t2 * 3.141592653589793\nt4 = t3 * 2.0\nt5 = t4 \/ t1\nanswer = math.sqrt(max(0, t5))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the sides of a triangle are 39 cm , 36 cm and 15 cm , what is its area ?","answer":270.0,"reasoning":"n0 = 39.0\nn1 = 36.0\nn2 = 15.0\nt0 = n1 * n2\nanswer = t0 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a rectangular floor is covered by a rug except for a strip 3 meters wide along each of the four edge . if the floor is 12 meters by 10 meters , what is the area of the rug in square meters ?","answer":24.0,"reasoning":"n0 = 3.0\nn1 = 12.0\nn2 = 10.0\nt0 = n0 * 2.0\nt1 = n1 - t0\nt2 = n2 - t0\nanswer = t1 * t2  # area of rectangle\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a block of wood has dimensions 10 cm x 10 cm x 80 cm . the block is painted red and then cut evenly at the 40 cm mark , parallel to the sides , to form two rectangular solids of equal volume . what percentage of the surface area of each of the new solids is not painted red ?","answer":5.5555555556,"reasoning":"n0 = 10.0\nn1 = 10.0\nn2 = 80.0\nn3 = 40.0\nt0 = 100.0 * 4.0\nt1 = t0 * 4.0\nt2 = t1 + 100.0\nt3 = t2 + 100.0\nt4 = 100.0 \/ t3\nanswer = t4 * 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the diameter of a cylindrical tin is 8 cm and height is 5 cm . find the volume of the cylinder ?","answer":80.0,"reasoning":"import math\nn0 = 8.0\nn1 = 5.0\nt0 = n0 \/ 2.0\nt1 = math.pi * t0**2 * n1\nanswer = t1 \/ 3.141592653589793\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 :","answer":5120.0,"reasoning":"n0 = 48.0\nn1 = 36.0\nn2 = 8.0\nn3 = 3.0\nt0 = n2 * 2.0\nt1 = n0 - t0\nt2 = n1 - t0\nanswer = n2 * t1 * t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the radius of a circle is increased by 12 % , then the area of the circle","answer":25.44,"reasoning":"n0 = 12.0\nt0 = n0 \/ 100.0\nt1 = t0 + 1.0\nt2 = t1**min(2.0, 5)\nt3 = t2 - 1.0\nanswer = t3 * 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the width of a rectangular hall is \u00bd of its length . if the area of the hall is 288 sq . m , what is the difference between its length and breadth ?","answer":12.0,"reasoning":"import math\nn0 = 288.0\nt0 = 1.0 \/ 2.0\nt1 = n0 \/ t0\nt2 = math.sqrt(max(0, t1))\nanswer = t2 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"each side of a rectangle is increased by 100 % . by what percentage does the area increase ?","answer":300.0,"reasoning":"n0 = 100.0\nt0 = 2.0 * 2.0\nt1 = t0 - 1.0\nanswer = n0 * t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of sector of a circle whose radius is 18 metro and whose angle at the center is 42 \u00e2 \u00b0 is ?","answer":118.8,"reasoning":"n0 = 18.0\nn1 = 42.0\nt0 = 3.0 + 4.0\nt1 = 3600.0 \/ 10.0\nt2 = 10.0 * 2.0\nt3 = n0**min(2.0, 5)\nt4 = t2 + 2.0\nt5 = n1 \/ t1\nt6 = t4 \/ t0\nt7 = t6 * t3\nanswer = t5 * t7\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the length of the sides of two cubes are in the ratio 7 : 1 , what is the ratio of their total surface area ?","answer":49.0,"reasoning":"n0 = 7.0\nn1 = 1.0\n\nanswer = n0 * n0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a horse is tethered to one corner of a rectangular grassy field 45 m by 25 m with a rope 22 m long . over how much area of the field can it graze ?","answer":380.1327110844,"reasoning":"n0 = 45.0\nn1 = 25.0\nn2 = 22.0\nt0 = n2**min(2.0, 5)\nt1 = t0 * 3.141592653589793\nanswer = t1 \/ 4.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the perimeter of an equilateral triangle is 60 . if one of the sides of the equilateral triangle is the side of an isosceles triangle of perimeter 50 , then how long is the base of isosceles triangle ?","answer":10.0,"reasoning":"n0 = 60.0\nn1 = 50.0\nt0 = n0 \/ 3.0\nt1 = n1 - t0\nanswer = t1 - t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the number 219 can be written as sum of the squares of 3 different positive integers . what is the sum of these 3 different integers ?","answer":20.9284495365,"reasoning":"import math\nn0 = 219.0\nn1 = 3.0\nn2 = 3.0\nt0 = n0 \/ 2.0\nt1 = math.sqrt(max(0, t0))\nanswer = t1 * 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"find the area of a parallelogram with base 30 cm and height 12 cm ?","answer":360.0,"reasoning":"n0 = 30.0\nn1 = 12.0\n\nanswer = n0 * n1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of the largest circle that can be drawn inside a rectangle with sides 18 cm by 14 cm is","answer":153.9380400259,"reasoning":"import math\nn0 = 18.0\nn1 = 14.0\nt0 = n1 \/ 2.0\nanswer = math.pi * t0**2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of a parallelogram is 128 sq m . then the area of a triangle formed by its diagonal is - - - - - - - - - - ?","answer":64.0,"reasoning":"n0 = 128.0\n\nanswer = n0 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of a square land is a square feet and the perimeter is p feet . if 5 a = 10 p + 45 , what is the perimeter of the land , in feet ?","answer":36.0,"reasoning":"import math\nn0 = 5.0\nn1 = 10.0\nn2 = 45.0\nt0 = n2 \/ n0\nt1 = n1 * 4.0\nt2 = t1 \/ n0\nt3 = t0 * 4.0\nt4 = t2**min(2.0, 5)\nt5 = t3 + t4\nt6 = math.sqrt(max(0, t5))\nt7 = t2 + t6\nt8 = t7 \/ 2.0\nanswer = t8 * 4.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the floor of a rectangular room is 19 m long and 12 m wide . the room is surrounded by a veranda of width 2 m on all its sides . the area of the veranda is :","answer":140.0,"reasoning":"n0 = 19.0\nn1 = 12.0\nn2 = 2.0\nt0 = n2 * n2\nt1 = n0 * n1  # area of rectangle\nt2 = n0 + t0\nt3 = n1 + t0\nt4 = t2 * t3  # area of rectangle\nanswer = t4 - t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the perimeter of an equilateral triangle is 60 . if one of the sides of the equilateral triangle is the side of an isosceles triangle of perimeter 55 , then how long is the base of isosceles triangle ?","answer":15.0,"reasoning":"n0 = 60.0\nn1 = 55.0\nt0 = n0 \/ 3.0\nt1 = n1 - t0\nanswer = t1 - t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"rectangular tile each of size 25 cm by 16 cm must be laid horizontally on a rectangular floor of size 180 cm by 120 cm , such that the tiles do not overlap and they are placed with edges jutting against each other on all edges . a tile can be placed in any orientation so long as its edges are parallel to the edges of floor . no tile should overshoot any edge of the floor . the maximum number of tiles that can be accommodated on the floor is :","answer":54.0,"reasoning":"n0 = 25.0\nn1 = 16.0\nn2 = 180.0\nn3 = 120.0\nt0 = n2 * n3\nt1 = n0 * n1\nanswer = t0 \/ t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a larger cube has 8 cubic inch as a volume and in the cube there are 8 smaller cubes such that their volume is 1 cubic inch . what is the difference between the surface areas \u2019 sum of the 8 smaller cubes and the surface area of the larger cube , in square inch ?","answer":24.0,"reasoning":"n0 = 8.0\nn1 = 8.0\nn2 = 1.0\nn3 = 8.0\nt0 = n2**(1 \/ 3)\nt1 = n0**(1 \/ 3)\nt2 = 6 * t0**2  # surface of a cube\nt3 = 6 * t1**2  # surface of a cube\nt4 = n0 * t2\nanswer = t4 - t3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a cube is painted red on all faces . it is then cut into 27 equal smaller cubes . how many v cubes are painted on only 2 faces ?","answer":12.0,"reasoning":"n0 = 27.0\nn1 = 2.0\nt0 = 1.0 \/ 3.0\nt1 = n0**min(t0, 5)\nanswer = t1 * 4.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"by combining number of small cubes , a larger cube is produced . the ratio between volume of larger cube and small cube is 1000 : 8 then how many small cubes are required to produce a larger cube ?","answer":125.0,"reasoning":"n0 = 1000.0\nn1 = 8.0\n\nanswer = n0 \/ n1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"approximately how many cubic feet of water are needed to fill a circular swimming pool that is 80 feet across and 10 feet deep ?","answer":50265.4824574367,"reasoning":"import math\nn0 = 80.0\nn1 = 10.0\nt0 = n0 \/ 2.0\nanswer = math.pi * t0**2 * n1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the perimeter of an isosceles right triangle is 4 + 4 sq rt 2 . what is the length of the hypotenuse of the triangle ?","answer":2.8284271247,"reasoning":"import math\nn0 = 4.0\nn1 = 4.0\nn2 = 2.0\nt0 = math.sqrt(max(0, n2))\nt1 = n0 * t0\nanswer = t1 \/ n2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"on dividing a number by 5 , we get 3 as remainder . what will the remainder when the square of the this number is divided by 5 ?","answer":4.0,"reasoning":"import math\nn0 = 5.0\nn1 = 3.0\nn2 = 5.0\nt0 = n1**min(2.0, 5)\nt1 = t0 \/ n0\nt2 = math.floor(t1)\nt3 = t1 - t2\nanswer = n0 * t3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the sides of a square region , measured to the nearest centimeter , are 7 centimeters long . the least possible value of the actual area of the square region is","answer":42.25,"reasoning":"n0 = 7.0\nt0 = n0 - 0.25\nt1 = t0 - 0.25\nanswer = t1**min(2.0, 5)\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a wire in the form of a circle of radius 3.5 m is bent in the form of a rectangule , whose length and breadth are in the ratio of 6 : 5 . what is the area of the rectangle ?","answer":29.9758646066,"reasoning":"import math\nn0 = 3.5\nn1 = 6.0\nn2 = 5.0\nt0 = n1 + n2\nt1 = 2 * math.pi * n0\nt2 = t0 * 2.0\nt3 = t1 \/ t2\nt4 = n1 * t3\nt5 = n2 * t3\nanswer = t4 * t5  # area of rectangle\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the volume of a cube is 729 cc . find its surface .","answer":486.0,"reasoning":"n0 = 729.0\nt0 = n0**(1 \/ 3)\nanswer = 6 * t0**2  # surface of a cube\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a park square in shape has a 3 metre wide road inside it running along its sides . the area occupied by the road is 1764 square metres . what is the perimeter along the outer edge of the road ?","answer":600.0,"reasoning":"n0 = 3.0\nn1 = 1764.0\nt0 = n0 * 2.0\nt1 = t0 * 2.0\nt2 = t0**min(2.0, 5)\nt3 = n1 + t2\nt4 = t3 \/ t1\nanswer = t4 * 4.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the length of the longest chord of a certain circle is 18 , what is the radius of that certain circle ?","answer":9.0,"reasoning":"n0 = 18.0\n\nanswer = n0 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 60 sq . feet , how many feet of fencing will be required ?","answer":26.0,"reasoning":"n0 = 20.0\nn1 = 60.0\nt0 = n1 \/ n0\nt1 = t0 * 2.0\nanswer = n0 + t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a rectangular grass field is 65 m * 55 m , it has a path of 2.5 m wide all round it on the outside . find the area of the path and the cost of constructing it at rs . 2 per sq m ?","answer":1250.0,"reasoning":"n0 = 65.0\nn1 = 55.0\nn2 = 2.5\nn3 = 2.0\nt0 = n2 * n3\nt1 = n0 * n1  # area of rectangle\nt2 = n0 + t0\nt3 = n1 + t0\nt4 = t2 * t3  # area of rectangle\nt5 = t4 - t1\nanswer = n3 * t5\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"three walls have wallpaper covering a combined area of 280 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 36 square meters . what is the area that is covered with three layers of wallpaper ?","answer":32.0,"reasoning":"n0 = 280.0\nn1 = 180.0\nn2 = 36.0\nt0 = n0 - n1\nt1 = t0 - n2\nanswer = t1 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"what is the area of square field whose side of length 16 m ?","answer":256.0,"reasoning":"n0 = 16.0\n\nanswer = n0**2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"abcd is a square where ab = \u00e2 \u02c6 \u0161 4004 . let x be a point on ab and y be a point on cd such that ax = cy . compute the area of trapezoid axyd .","answer":2002.0,"reasoning":"n0 = 4004.0\n\nanswer = n0 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"question : a sporting good store sells one type of baseball bat and one type of baseball . the cost for 2 bats and 4 balls is $ 180 . the cost for 1 bat and 6 balls is $ 190 , as well . if someone were to buy an equal number of bats and balls , at most how many bats can he purchase if he has a budget of $ 195 for the purchase ? options :","answer":3.0,"reasoning":"n0 = 2.0\nn1 = 4.0\nn2 = 180.0\nn3 = 1.0\nn4 = 6.0\nn5 = 190.0\nn6 = 195.0\nt0 = -n0\nt1 = n5 * t0\nt2 = n4 * t0\nt3 = n2 + t1\nt4 = n1 + t2\nt5 = t3 \/ t4\nt6 = n4 * t5\nt7 = n5 - t6\nt8 = t5 + t7\nanswer = n6 \/ t8\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"find the area of a parallelogram with base 36 cm and height 24 cm ?","answer":864.0,"reasoning":"n0 = 36.0\nn1 = 24.0\n\nanswer = n0 * n1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"how many internal diagonals does a hexagon ( 6 sided polygon ) have ?","answer":9.0,"reasoning":"n0 = 6.0\nt0 = n0 - 3.0\nt1 = n0 * t0\nanswer = t1 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 199 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 cabbages did she produce this year ?","answer":10000.0,"reasoning":"n0 = 1.0\nn1 = 199.0\nt0 = 0.25 + 0.25\nt1 = n1 \/ 2.0\nt2 = t0 + t1\nanswer = t2**min(2.0, 5)\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 9 feet between each tree . how many trees can be planted if the road is 151 feet long ?","answer":16.0,"reasoning":"n0 = 9.0\nn1 = 151.0\nt0 = n0 + 1.0\nt1 = n1 - 1.0\nt2 = t1 \/ t0\nanswer = t2 + 1.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"abcd is a square aegf is a rectangle . . such that the rectangle shares 25 % of the area of the suare also ae lies on the line ab and ag lies on segment of ad . if the square shares half the area of the rectangle what is the ratio ae : ag ?","answer":8.0,"reasoning":"n0 = 25.0\nt0 = n0 \/ 100.0\nt1 = 1.0 \/ 2.0\nt2 = 1.0 \/ t0\nanswer = t2 \/ t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 256 sq . feet , how many feet of fencing will be required ?","answer":45.6,"reasoning":"n0 = 20.0\nn1 = 256.0\nt0 = n1 \/ n0\nt1 = t0 * 2.0\nanswer = n0 + t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"three fifth of the square of a certain number is 126.15 . what is the number ?","answer":14.5,"reasoning":"import math\nn0 = 126.15\nt0 = 1.0 + 4.0\nt1 = 3.0 \/ t0\nt2 = n0 \/ t1\nanswer = math.sqrt(max(0, t2))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"one side of a rectangular field is 4 m and its length along diagonal is 5 m . what is the area of the field ?","answer":12.0,"reasoning":"import math\nn0 = 4.0\nn1 = 5.0\nt0 = n1**min(2.0, 5)\nt1 = n0**min(2.0, 5)\nt2 = t0 - t1\nt3 = math.sqrt(max(0, t2))\nanswer = n0 * t3  # area of rectangle\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the parameter of a square is equal to the perimeter of a rectangle of length 20 cm and breadth 16 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 ) ?","answer":28.2743338823,"reasoning":"import math\nn0 = 20.0\nn1 = 16.0\nt0 = 2 * (n0 + n1)  # perimetere of rectangle\nt1 = t0 \/ 4. # square edge given perimeter\nt2 = t1 \/ 2.0\nt3 = 2 * math.pi * t2\nanswer = t3 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a circle is inscribed in a triangle of side 6 cm . and a square is inscribed in the circle . what is the area of square ?","answer":6.0,"reasoning":"import math\nn0 = 6.0\nt0 = n0 * n0\nanswer = math.sqrt(max(0, t0))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"abcd is a square where ab = \u00e2 \u02c6 \u0161 4032 . let x be a point on ab and y be a point on cd such that ax = cy . compute the area of trapezoid axyd .","answer":2016.0,"reasoning":"n0 = 4032.0\n\nanswer = n0 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a square is drawn inside a right - angled triangle with the two perpendicular sides as 12 cm and 8 cm . what is the side of the largest possible square that can be drawn ?","answer":4.8,"reasoning":"n0 = 12.0\nn1 = 8.0\nt0 = n0 * n1\nt1 = t0 \/ 2.0\nanswer = t1 \/ 10.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"of the two square fields , the area of the one is 1 hectare , while anothe one is broader by 1 % . there differences in area is :","answer":201.0,"reasoning":"import math\nn0 = 1.0\nn1 = 1.0\nt0 = 10.0 * 1000.0\nt1 = math.sqrt(max(0, t0))\nt2 = n0 + t1\nt3 = t2**2\nanswer = t3 - t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 measure q in inches of the width of the foil covered prism ?","answer":10.0,"reasoning":"n0 = 1.0\nn1 = 128.0\nn2 = 128.0\nt0 = 1 \/ 3.0\nt1 = n0 * 2.0\nt2 = n0 * t1\nt3 = n1 \/ t2\nt4 = t3**min(t0, 5)\nt5 = t1 * t4\nanswer = t5 + t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"find the area of the square , one of whose diagonals is 3.8 m long ?","answer":7.22,"reasoning":"n0 = 3.8\nt0 = 1.0 \/ 2.0\nt1 = n0 * n0\nanswer = t0 * t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if y is the smallest positive integer such that 4410 multiplied by y is the square of an integer , then y must be","answer":10.0,"reasoning":"n0 = 4410.0\nt0 = 2.0 + 3.0\nanswer = t0 * 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the length of a rectangle is increased by 40 % while its width is halved . what is the % change in area ?","answer":30.0,"reasoning":"n0 = 40.0\nt0 = n0 \/ 100.0\nt1 = 1.0 \/ 2.0\nt2 = t0 + 1.0\nt3 = t2 * t1\nt4 = 1.0 - t3\nanswer = t4 * 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"rectangular tile each of size 45 cm by 50 cm must be laid horizontally on a rectangular floor of size 250 cm by 180 cm , such that the tiles do not overlap and they are placed with edges jutting against each other on all edges . a tile can be placed in any orientation so long as its edges are parallel to the edges of floor . no tile should overshoot any edge of the floor . the maximum number of tiles that can be accommodated on the floor is :","answer":20.0,"reasoning":"n0 = 45.0\nn1 = 50.0\nn2 = 250.0\nn3 = 180.0\nt0 = n2 * n3\nt1 = n0 * n1\nanswer = t0 \/ t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 4 inches tall . how tall are the sculpture andbase together ?","answer":3.1666666667,"reasoning":"n0 = 2.0\nn1 = 10.0\nn2 = 4.0\nt0 = n0 + n1\nt1 = n0 * t0\nt2 = t1 + 10.0\nt3 = n2 + t2\nanswer = t3 \/ t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a spirit and water solution is sold in a market . the cost per liter of the solution is directly proportional to the part ( fraction ) of spirit ( by volume ) the solution has . a solution of 1 liter of spirit and 1 liter of water costs 30 cents . how many cents does a solution of 1 liter of spirit and 2 liters of water cost ?","answer":30.0,"reasoning":"n0 = 1.0\nn1 = 1.0\nn2 = 30.0\nn3 = 1.0\nn4 = 2.0\nt0 = n0 + n4\nt1 = n0 \/ t0\nt2 = n2 * t1\nanswer = t0 * t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 40 square meters . what is the area that is covered with three layers of wallpaper ?","answer":40.0,"reasoning":"n0 = 300.0\nn1 = 180.0\nn2 = 40.0\nt0 = n0 - n1\nt1 = t0 - n2\nanswer = t1 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a sporting good store sells one type of baseball bat and one type of baseball . the cost for 2 bats and 4 balls is $ 200 . the cost for 1 bat and 6 balls is $ 220 , as well . if someone were to buy an equal number of bats and balls , at most how many bats can he purchase if he has a budget of $ 210 for the purchase ?","answer":3.0,"reasoning":"n0 = 2.0\nn1 = 4.0\nn2 = 200.0\nn3 = 1.0\nn4 = 6.0\nn5 = 220.0\nn6 = 210.0\nt0 = n2 \/ 2.0\nt1 = n5 - t0\nt2 = t1 \/ n1\nt3 = n4 * t2\nt4 = n5 - t3\nt5 = t2 + t4\nanswer = n6 \/ t5\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a spirit and water solution is sold in a market . the cost per liter of the solution is directly proportional to the part ( fraction ) of spirit ( by volume ) the solution has . a solution of 1 liter of spirit and 1 liter of water costs 50 cents . how many cents does a solution of 1 liter of spirit and 3 liters of water cost ?","answer":50.0,"reasoning":"n0 = 1.0\nn1 = 1.0\nn2 = 50.0\nn3 = 1.0\nn4 = 3.0\nt0 = n0 + n4\nt1 = n0 \/ t0\nt2 = n2 * t1\nanswer = t0 * t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the side of a rhombus is 25 m and length of one of its diagonals is 10 m . the area of the rhombus is ?","answer":244.9489742783,"reasoning":"import math\nn0 = 25.0\nn1 = 10.0\nt0 = n0 * 2.0\nt1 = n1**min(2.0, 5)\nt2 = t0**min(2.0, 5)\nt3 = t2 - t1\nt4 = math.sqrt(max(0, t3))\nt5 = n1 * t4\nanswer = t5 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the side of a cube is 12 m , find the lateral surface area ?","answer":516.0,"reasoning":"n0 = 12.0\nt0 = 10.0 * 4.0\nt1 = t0 + 3.0\nanswer = n0 * t1  # area of rectangle\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 191 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 cabbages did she produce this year ?","answer":9216.0,"reasoning":"n0 = 1.0\nn1 = 191.0\nt0 = 0.25 + 0.25\nt1 = n1 \/ 2.0\nt2 = t0 + t1\nanswer = t2**min(2.0, 5)\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a metallic sheet is of rectangular shape with dimensions 40 m x 30 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 8 m , the volume of the box ( in m cube ) is :","answer":2688.0,"reasoning":"n0 = 40.0\nn1 = 30.0\nn2 = 8.0\nt0 = n2 * 2.0\nt1 = n0 - t0\nt2 = n1 - t0\nanswer = n2 * t1 * t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if g is the smallest positive integer such that 3150 multiplied by g is the square of an integer , then g must be","answer":14.0,"reasoning":"n0 = 3150.0\nt0 = 2.0 + 3.0\nt1 = n0 \/ 2.0\nt2 = t1 \/ t0\nt3 = t2 \/ t0\nt4 = t3 \/ 3.0\nt5 = t4 \/ 3.0\nanswer = t5 * 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"an isosceles triangle with sides 13 13 10 and there is a circle inscribed it . find the radius of circle ?","answer":3.3333333333,"reasoning":"import math\nn0 = 13.0\nn1 = 13.0\nn2 = 10.0\nt0 = (lambda s, a, b, c: math.sqrt(max(0, s * (s - a) * (s - b) * (s - c))))((n0 + n0 + n2) \/ 2, n0, n0, n2)  # Heron's formula\nt1 = n0 + n0 + n2  # perimeter of a triangle\nt2 = t0 * 2.0\nanswer = t2 \/ t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the floor of a rectangular room is 20 m long and 12 m wide . the room is surrounded by a veranda of width 2 m on all its sides . the area of the veranda is :","answer":144.0,"reasoning":"n0 = 20.0\nn1 = 12.0\nn2 = 2.0\nt0 = n2 * n2\nt1 = n0 * n1  # area of rectangle\nt2 = n0 + t0\nt3 = n1 + t0\nt4 = t2 * t3  # area of rectangle\nanswer = t4 - t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of an isosceles trapezoid with sides of length 5 and bases of length 8 and 14 is ?","answer":44.0,"reasoning":"n0 = 5.0\nn1 = 8.0\nn2 = 14.0\n\nanswer = 4.0 * (n2 + n1) \/ 2  # quadrilateral area\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"what is the ratio between perimeters of two squares one having 1.5 times the diagonal then the other ?","answer":1.5,"reasoning":"n0 = 1.5\nt0 = n0 \/ n0\nanswer = n0 \/ t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a right triangle aec has to be constructed in the xy - plane so that the right angle is at a and ae is parallel to x axis . the coordinates of a , e and c are integers and satisfy the inequalities - 1 \u2264 x \u2264 7 and 1 \u2264 y \u2264 7 . how many different triangles can be constructed with these properties ?","answer":3024.0,"reasoning":"import math\nn0 = 1.0\nn1 = 7.0\nn2 = 1.0\nn3 = 7.0\nt0 = math.factorial(min(15, int(n1)))\nt1 = n1 * 2.0\nt2 = n1 - n0\nt3 = t2 * 4.0\nt4 = t3 * t2\nt5 = t4 * t1\nanswer = t0 - t5\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if anangletis defined as 1 percent of 1 degree , then how many anglets are there in a sixth of a circle ?","answer":6000.0,"reasoning":"n0 = 1.0\nn1 = 1.0\nt0 = 2.0 + 4.0\nt1 = 3600.0 \/ 10.0\nt2 = n0 \/ t0\nt3 = t1 * 100.0\nanswer = t2 * t3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the ratio of the areas of two squares , one having double its diagonal then the other is :","answer":4.0,"reasoning":"t0 = 1 \/ 2.0\nt1 = t0 * 4.0\nanswer = t1 \/ t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a cube of sides 9 is first painted red and then cut into smaller cubes of side 3 . how many of the smaller cube have painted on exactly 2 sides ?","answer":12.0,"reasoning":"n0 = 9.0\nn1 = 3.0\nn2 = 2.0\nt0 = n1 + 4.0\nt1 = n0 * n1\nt2 = n2 * 4.0\nt3 = t1 - t0\nanswer = t3 - t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a circular mat with radius 10 inches is placed on a square tabletop , each of whose sides is 24 inches long . which of the following is closest to the fraction of the tabletop covered by the mat ?","answer":0.5454153912,"reasoning":"import math\nn0 = 10.0\nn1 = 24.0\nt0 = math.pi * n0**2\nt1 = n1**2\nanswer = t0 \/ t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"what is the total surface area in square meters of a rectangular solid whose length is 5 meters , width is 4 meters , and depth is 1 meters ?","answer":58.0,"reasoning":"n0 = 5.0\nn1 = 4.0\nn2 = 1.0\n\nanswer = 2 * (n0 * n1 + n0 * n2 + n1 * n2)  # surface of a rectangular prism\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if a triangle in the xy - coordinate system has vertices at ( - 2 , - 3 ) , ( 4 , - 3 ) and ( 28 , 7 ) , what is the area of the triangle ?","answer":30.0,"reasoning":"import math\nn0 = 2.0\nn1 = 3.0\nn2 = 4.0\nn3 = 3.0\nn4 = 28.0\nn5 = 7.0\nt0 = n0 + n4\nt1 = n1 + n5\nt2 = n0 + n2\nt3 = n4 - n2\nt4 = t0**min(2.0, 5)\nt5 = t1**min(2.0, 5)\nt6 = t3**min(2.0, 5)\nt7 = t2**min(2.0, 5)\nt8 = t4 + t5\nt9 = t6 + t5\nt10 = math.sqrt(max(0, t7))\nt11 = math.sqrt(max(0, t8))\nt12 = math.sqrt(max(0, t9))\nanswer = (lambda s, a, b, c: math.sqrt(max(0, s * (s - a) * (s - b) * (s - c))))((t11 + t12 + t10) \/ 2, t11, t12, t10)  # Heron's formula\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a circle in the coordinate plane passes through points ( - 3 , - 2 ) and ( 2 , 4 ) . what is the smallest possible area of that circle ?","answer":15.25,"reasoning":"import math\nn0 = 3.0\nn1 = 2.0\nn2 = 2.0\nn3 = 4.0\nt0 = n0 + n2\nt1 = n1 + n3\nt2 = t0 * t0\nt3 = t1 * t1\nt4 = t2 + t3\nt5 = math.sqrt(max(0, t4))\nt6 = t5 \/ n1\nanswer = t6**2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a semicircle has a radius of 20 . what is the approximate perimeter of the semicircle ?","answer":102.8318530718,"reasoning":"import math\nn0 = 20.0\nt0 = 2 * math.pi * n0\nt1 = n0 * 2.0\nt2 = t0 \/ 2.0\nanswer = t2 + t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the volume of the sphere qq is ( dfrac { 37 } { 64 } % ) less than the volume of sphere pp and the volume of sphere rr is ( dfrac { 19 } { 27 } % ) less than that of sphere qq . by what is the surface areaof sphere rr less than the surfacearea of sphere pp ?","answer":75.0,"reasoning":"n0 = 37.0\nn1 = 64.0\nn2 = 19.0\nn3 = 27.0\nt0 = 1.0 \/ 3.0\nt1 = n1**min(t0, 5)\nt2 = n3**min(t0, 5)\nt3 = t1 * t2\nt4 = t3 + t1\nt5 = t4 - t1\nt6 = t1 + t5\nt7 = t6 - t1\nt8 = t7 \/ t6\nanswer = t8 * 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"cubes with each side one inch long are glued together to form a larger cube . the larger cube ' s face is painted with red color and the entire assembly is taken apart . 22 small cubes are found with no paints on them . how many of unit cubes have at least one face that is painted red ?","answer":103.0,"reasoning":"n0 = 22.0\nt0 = 1.0 + 3.0\nt1 = t0 + 1.0\nt2 = t1**min(3.0, 5)\nanswer = t2 - n0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of a square field is 1225 km 2 . how long will it take for a horse to run around at the speed of 20 km \/ h ?","answer":7.0,"reasoning":"import math\nn0 = 1225.0\nn1 = 2.0\nn2 = 20.0\nt0 = math.sqrt(max(0, n0))\nt1 = t0 * 4.0\nanswer = t1 \/ n2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"two circular frames are kept one above the other . frame x has a diameter of 16 cm and frame y has a diameter of 12 cm . what fraction of the surface of frame x is not covered by frame y ?","answer":0.4375,"reasoning":"import math\nn0 = 16.0\nn1 = 12.0\nt0 = n0 \/ 2.0\nt1 = n1 \/ 2.0\nt2 = math.pi * t0**2\nt3 = math.pi * t1**2\nt4 = t2 - t3\nanswer = t4 \/ t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the cost of the paint is rs . 50 per kg . if 1 kg of paint covers 20 sq . ft , how much will it cost to paint outside of a cube having 20 feet each side","answer":6000.0,"reasoning":"n0 = 50.0\nn1 = 1.0\nn2 = 20.0\nn3 = 20.0\nt0 = 6 * n3**2  # surface of a cube\nt1 = t0 \/ n2\nanswer = n0 * t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"in a rectangular coordinate system , what is the area of a rhombus whose vertices have the coordinates ( 0 , 7.5 ) , ( 8 , 0 ) , ( 0 , - 7.5 ) , ( - 8 , 0 ) ?","answer":120.0,"reasoning":"n0 = 0.0\nn1 = 7.5\nn2 = 8.0\nn3 = 0.0\nn4 = 0.0\nn5 = 7.5\nn6 = 8.0\nn7 = 0.0\nt0 = n2 * 2.0\nt1 = n1 * 2.0\nanswer = t0 * t1 \/ 2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 12 feet between each tree . how many trees can be planted if the road is 157 feet long ?","answer":13.0,"reasoning":"n0 = 12.0\nn1 = 157.0\nt0 = n0 + 1.0\nt1 = n1 - 1.0\nt2 = t1 \/ t0\nanswer = t2 + 1.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of a circular field is 17.56 hectares . find the cost of fencing it at the rate of rs . 7 per metre approximately","answer":10398.3690699163,"reasoning":"import math\nn0 = 17.56\nn1 = 7.0\nt0 = n0 \/ 3.141592653589793\nt1 = math.sqrt(max(0, t0))\nt2 = t1 * 100.0\nt3 = 2 * math.pi * t2\nanswer = t3 * n1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 18 - inch screen would be how many square inches greater than the area of a square 16 - inch screen ?","answer":34.0,"reasoning":"n0 = 18.0\nn1 = 16.0\nt0 = n0**min(2.0, 5)\nt1 = n1**min(2.0, 5)\nt2 = t0 - t1\nanswer = t2 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the length of the rectangular field is double its width . inside the field there is square shaped pond 9 m long . if the area of the pond is 1 \/ 8 of the area of the field . what is the length of the field ?","answer":36.0,"reasoning":"import math\nn0 = 9.0\nn1 = 1.0\nn2 = 8.0\nt0 = 1 \/ 2.0\nt1 = n0**2\nt2 = n2 * t1\nt3 = t2 \/ t0\nanswer = math.sqrt(max(0, t3))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the length and breadth of a square are increased by 40 % and 30 % respectively . the area of the rectangle so formed exceeds the area of the square by ?","answer":82.0,"reasoning":"n0 = 40.0\nn1 = 30.0\nt0 = n0 \/ 100.0\nt1 = n1 \/ 100.0\nt2 = t0 + 1.0\nt3 = t1 + 1.0\nt4 = t2 * t3\nt5 = t4 - 1.0\nanswer = t5 * 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a squirrel runs up a cylindrical post , in a perfect spiral path making one circuit for each rise of 3 feet . how many feet does the squirrel travels if the post is 27 feet tall and 3 feet in circumference ?","answer":27.0,"reasoning":"n0 = 3.0\nn1 = 27.0\nn2 = 3.0\nt0 = n1 \/ n0\nanswer = n2 * t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 7 m , the volume of the box ( in m 3 ) is :","answer":5236.0,"reasoning":"n0 = 48.0\nn1 = 36.0\nn2 = 7.0\nn3 = 3.0\nt0 = n2 * 2.0\nt1 = n0 - t0\nt2 = n1 - t0\nanswer = n2 * t1 * t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"sides of a triangle are 13 cm . 14 cm . and 15 cm . respectively . calculate the area of triangle .","answer":84.0,"reasoning":"import math\nn0 = 13.0\nn1 = 14.0\nn2 = 15.0\n\nanswer = (lambda s, a, b, c: math.sqrt(max(0, s * (s - a) * (s - b) * (s - c))))((n0 + n1 + n2) \/ 2, n0, n1, n2)  # Heron's formula\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the ratio of male to female in a class is 2 : 3 . the career preference of the students in the class are to be represented in a circle graph . if the area of the graph allocated to each career preference is to be proportional to the number of students who have that career preference , how many degrees of the circle should be used to represent a career that is preferred by one of the males and one of the females in the class ?","answer":72.0,"reasoning":"n0 = 2.0\nn1 = 3.0\nt0 = n0 + n1\nt1 = 1.0 \/ n1\nt2 = n1 \/ t0\nt3 = t2 * 360.0\nanswer = t1 * t3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"how much space , in cubic units , is left vacant when maximum number of 4 x 4 x 4 cubes are fitted in a rectangular box measuring 10 x 12 x 16 ?","answer":384.0,"reasoning":"n0 = 4.0\nn1 = 4.0\nn2 = 4.0\nn3 = 10.0\nn4 = 12.0\nn5 = 16.0\nt0 = n4 * n5\nt1 = n0 * 2.0\nt2 = n3 - t1\nanswer = t0 * t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the perimeter of an isosceles right triangle is 8 + 8 sq rt 2 . what is the length of the hypotenuse of the triangle ?","answer":5.6568542495,"reasoning":"import math\nn0 = 8.0\nn1 = 8.0\nn2 = 2.0\nt0 = math.sqrt(max(0, n2))\nt1 = n0 * t0\nanswer = t1 \/ n2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a circular ground whose diameter is 70 metres , has a 2.8 metre - broad garden around it . what is the area of the garden in square metres ?","answer":640.3822465077,"reasoning":"import math\nn0 = 70.0\nn1 = 2.8\nt0 = n0 \/ 2.0\nt1 = n1 + t0\nt2 = math.pi * t0**2\nt3 = math.pi * t1**2\nanswer = t3 - t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"carol and jordan draw rectangles of equal area . if carol ' s rectangle measures 5 inches by 24 inches and jordan ' s rectangle is 8 inches long , how wide is jordan ' s rectangle , in inches ?","answer":15.0,"reasoning":"n0 = 5.0\nn1 = 24.0\nn2 = 8.0\nt0 = n0 * n1  # area of rectangle\nanswer = t0 \/ n2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"what is the ratio g of the surface area of a cube to the surface area of a rectangular solid identical to the cube in all ways except that its length has been doubled ?","answer":0.6,"reasoning":"t0 = 2.0 * 3.0\nt1 = 1.0 * 2.0\nt2 = 1.0 * 1.0\nt3 = t1 * 2.0\nt4 = t3 + t2\nt5 = t4 * 2.0\nanswer = t0 \/ t5\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the surface of a cube is 96 sq cm . find its volume ?","answer":64.0,"reasoning":"import math\nn0 = 96.0\nt0 = 2.0 + 4.0\nt1 = n0 \/ t0\nt2 = math.sqrt(max(0, t1))\nanswer = t2**3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the dimensions of a room are 25 feet * 15 feet * 12 feet . what is the cost of white washing the four walls of the room at rs . 6 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each ?","answer":5436.0,"reasoning":"n0 = 25.0\nn1 = 15.0\nn2 = 12.0\nn3 = 6.0\nn4 = 6.0\nn5 = 3.0\nn6 = 4.0\nn7 = 3.0\nt0 = n0 + n1\nt1 = n2 * 2.0\nt2 = n4 * n5\nt3 = n5 * n6\nt4 = t0 * t1\nt5 = n5 * t3\nt6 = t4 - t2\nt7 = t6 - t5\nanswer = n3 * t7\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the radius of a cone is 10 m , height 21 m . the volume of the cone is :","answer":2199.1148575129,"reasoning":"import math\nn0 = 10.0\nn1 = 21.0\n\nanswer = math.pi * n0**2 * n1 \/ 3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the length of a rectangular plot is thrice its breadth . if the area of the rectangular plot is 972 sq m , then what is the breadth of the rectangular plot ?","answer":18.0,"reasoning":"import math\nn0 = 972.0\nt0 = n0 \/ 3.0\nanswer = math.sqrt(max(0, t0))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of a rectangular field is equal to 300 square meters . its perimeter is equal to 70 meters . find the width of this rectangle .","answer":15.0,"reasoning":"import math\nn0 = 300.0\nn1 = 70.0\nt0 = n1 \/ 2.0\nt1 = n0 * 4.0\nt2 = t0 * t0\nt3 = t2 - t1\nt4 = math.sqrt(max(0, t3))\nt5 = t0 - t4\nanswer = t5 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a box measuring 49 inches long by 42 inches wide by 14 inches deep is to be filled entirely with identical cubes . no space is to be left unfilled . what is the smallest number of cubes that can accomplish this objective ?","answer":84.0,"reasoning":"n0 = 49.0\nn1 = 42.0\nn2 = 14.0\nt0 = n2 \/ 2.0\nt1 = n0 * n1\nt2 = n2 * t1\nt3 = t0**3\nanswer = t2 \/ t3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of a square field is 625 km 2 . how long will it take for a horse to run around at the speed of 25 km \/ h ?","answer":4.0,"reasoning":"import math\nn0 = 625.0\nn1 = 2.0\nn2 = 25.0\nt0 = math.sqrt(max(0, n0))\nt1 = t0 * 4.0\nanswer = t1 \/ n2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the volume of a certain substance is always directly proportional to its weight . if 48 cubic inches of the substance weigh 112 ounces , what is the volume , in cubic inches , of 56 ounces of this substance ?","answer":24.0,"reasoning":"n0 = 48.0\nn1 = 112.0\nn2 = 56.0\nt0 = n0 \/ n1\nanswer = n2 * t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the length of a rectangle is 2 times its width . if the width of the rectangle is 5 inches , what is the rectangle ' s area , in square inches ?","answer":50.0,"reasoning":"n0 = 2.0\nn1 = 5.0\nt0 = n0 * n1\nanswer = n1 * t0  # area of rectangle\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"right triangle pqr is the base of the prism in the figure above . if pq = pr = \u00e2 \u02c6 \u0161 5 and the height of the prism is 10 , what is the volume of the prism ?","answer":25.0,"reasoning":"import math\nn0 = 5.0\nn1 = 10.0\nt0 = math.sqrt(max(0, n0))\nt1 = t0 * t0 \/ 2\nanswer = n1 * t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a metallic sheet is of rectangular shape with dimensions 48 m x 38 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 :","answer":5632.0,"reasoning":"n0 = 48.0\nn1 = 38.0\nn2 = 8.0\nn3 = 3.0\nt0 = n2 * 2.0\nt1 = n0 - t0\nt2 = n1 - t0\nanswer = n2 * t1 * t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the parameter of a square is equal to the perimeter of a rectangle of length 18 cm and breadth 10 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 ) ?","answer":21.9911485751,"reasoning":"import math\nn0 = 18.0\nn1 = 10.0\nt0 = 2 * (n0 + n1)  # perimetere of rectangle\nt1 = t0 \/ 4. # square edge given perimeter\nt2 = t1 \/ 2.0\nt3 = 2 * math.pi * t2\nanswer = t3 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the height of a cone is increased by 100 % then its volume is increased by ?","answer":100.0,"reasoning":"n0 = 100.0\n\nanswer = n0 * 1.0  # area of rectangle\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"what will be the percentage increase in the area of the cube ' s surface if each of the cube ' s edges grows by 20 % ?","answer":44.0,"reasoning":"n0 = 20.0\nt0 = n0 \/ 100.0\nt1 = t0 + 1.0\nt2 = t1**min(2.0, 5)\nt3 = t2 - 1.0\nanswer = t3 * 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a small , rectangular park has a perimeter of 560 feet and a diagonal measurement of 400 feet . what is its area , in square feet ?","answer":76800.0,"reasoning":"n0 = 560.0\nn1 = 400.0\nt0 = 2.0 + 3.0\nt1 = n1 \/ t0\nt2 = t1 * 3.0\nt3 = t1 * 4.0\nanswer = t2 * t3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the base of a triangular field is three times its altitude . if the cost of cultivating the field at rs . 24.68 per hectare be rs . 333.18 , find its base and height .","answer":300.0,"reasoning":"n0 = 24.68\nn1 = 333.18\nt0 = n1 \/ n0\nt1 = 3.0 \/ 2.0\nt2 = t0 * 1000.0\nt3 = t2 \/ 3.0\nt4 = t3 \/ 10.0\nanswer = t4 \/ t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of a triangle is with base 4.5 m and height 6 m ?","answer":13.5,"reasoning":"n0 = 4.5\nn1 = 6.0\n\nanswer = n0 * n1 \/ 2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the ratio of male to female in a class is 2 : 3 . the career preference of the students in the class are to be represented in a circle graph . if the area of the graph allocated to each career preference is to be proportional to the number of students who have that career preference , how many degrees of the circle should be used to represent a career that is preferred by one fourth of the males and 3 \/ 4 th of the females in the class ?","answer":198.0,"reasoning":"n0 = 2.0\nn1 = 3.0\nn2 = 3.0\nn3 = 4.0\nt0 = n0 + n1\nt1 = 360.0 \/ t0\nt2 = n1 * t1\nt3 = n0 * t1\nt4 = t3 \/ 4.0\nt5 = n1 * t2\nt6 = t5 \/ n3\nanswer = t6 + t4\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the height of a triangle is decreased by 40 % , land its base is increased by 40 % , what will be the effect on its area ?","answer":16.0,"reasoning":"n0 = 40.0\nn1 = 40.0\nt0 = n0 + 100.0\nt1 = 100.0 - n0\nt2 = t0 * t1\nt3 = t2 \/ 100.0\nanswer = 100.0 - t3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the product of the squares of two positive integers is 400 . how many pairs of positive integers satisfy this condition ?","answer":3.0,"reasoning":"n0 = 400.0\nt0 = 2.0 + 3.0\nanswer = t0 - 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":19.13,"reasoning":"n0 = 10.0\nn1 = 171.0\nt0 = n1 \/ n0\nt1 = t0 \/ 2.0\nt2 = t1 + 0.33\nt3 = t2 + 0.25\nanswer = n0 + t3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"find the perimeter and area of a square of side 13 cm .","answer":169.0,"reasoning":"n0 = 13.0\n\nanswer = n0**2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"two isosceles triangles have equal vertical angles and their areas are in the ratio 25 : 49 . find the ratio of their corresponding heights .","answer":0.7142857143,"reasoning":"import math\nn0 = 25.0\nn1 = 49.0\nt0 = math.sqrt(max(0, n0))\nt1 = math.sqrt(max(0, n1))\nanswer = t0 \/ t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"find the area of circle whose radius is 7 m ?","answer":153.9380400259,"reasoning":"import math\nn0 = 7.0\n\nanswer = math.pi * n0**2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":42.0,"reasoning":"import math\nn0 = 4.0\nn1 = 784.0\nt0 = n1 \/ n0\nt1 = math.sqrt(max(0, t0))\nt2 = t1 * n0\nanswer = t2 - t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"find the area of the quadrilateral of one of its diagonals is 30 cm and its off sets 10 cm and 6 cm ?","answer":240.0,"reasoning":"n0 = 30.0\nn1 = 10.0\nn2 = 6.0\nt0 = n1 + n2\nt1 = 1.0 \/ 2.0\nt2 = t0 * t1\nanswer = n0 * t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a semicircular shaped window has diameter of 63 cm . its perimeter equals","answer":161.9601685881,"reasoning":"import math\nn0 = 63.0\nt0 = n0 \/ 2.0\nt1 = 2 * math.pi * t0\nt2 = t1 \/ 2.0\nanswer = n0 + t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"in the rectangular coordinate system , points ( 2 , 0 ) and ( \u2013 2 , 0 ) both lie on circle c . what is the maximum possible value of the radius of c ?","answer":2.0,"reasoning":"import math\nn0 = 2.0\nn1 = 0.0\nn2 = 2.0\nn3 = 0.0\nt0 = n0**min(2.0, 5)\nanswer = math.sqrt(max(0, t0))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":64.0,"reasoning":"n0 = 20.0\nn1 = 440.0\nt0 = n1 \/ n0\nt1 = t0 * 2.0\nanswer = n0 + t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":300.0,"reasoning":"n0 = 9600.0\nn1 = 800.0\nn2 = 3600.0\nt0 = n1 \/ n0\nanswer = n2 * t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"find the curved surface area , if the radius of a cone is 28 m and slant height is 30 m ?","answer":2638.9378290154,"reasoning":"n0 = 28.0\nn1 = 30.0\nt0 = n0 * n1\nanswer = t0 * 3.141592653589793\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 .","answer":3.0,"reasoning":"import math\nn0 = 6.0\nn1 = 15.0\nn2 = 10.0\nt0 = 1.0 \/ 3.0\nt1 = 2.0 \/ 3.0\nt2 = math.pi * n0**2 * n1\nt3 = t2 \/ 10.0\nt4 = t0 * 3.141592653589793\nt5 = t1 * 3.141592653589793\nt6 = t4 * 4.0\nt7 = t6 + t5\nt8 = t3 \/ t7\nt9 = t8 \/ 3.0\nanswer = math.sqrt(max(0, t9))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 they each purchase pizza alone ?","answer":49.0,"reasoning":"n0 = 14.0\nn1 = 10.0\nn2 = 21.0\nn3 = 20.0\nn4 = 30.0\nt0 = n2**min(2.0, 5)\nt1 = n0**min(2.0, 5)\nt2 = t1 + t0\nt3 = t0 * 3.0\nt4 = t2 + t2\nanswer = t3 - t4\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 broccoli did he produce this year ?","answer":2601.0,"reasoning":"n0 = 1.0\nn1 = 101.0\nt0 = n0 + n1\nt1 = t0 \/ 2.0\nanswer = t1**min(2.0, 5)\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 .","answer":180.0,"reasoning":"n0 = 2.0\nn1 = 1.0\nn2 = 3.0\nn3 = 2.0\nn4 = 1.0\nn5 = 30.0\nt0 = n5 + n5 + n5  # perimeter of a triangle\nanswer = t0 + t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"how many cubes of edge 2 dm can be cut out of a meter cube ?","answer":125.0,"reasoning":"n0 = 2.0\nt0 = 10.0**3\nt1 = n0**3\nanswer = t0 \/ t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":85.0,"reasoning":"n0 = 20.0\nn1 = 650.0\nt0 = n1 \/ n0\nt1 = t0 * 2.0\nanswer = n0 + t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":5.76,"reasoning":"n0 = 12.0\nn1 = 20.0\nn2 = 15.0\nt0 = n1 * n2\nt1 = n0**3\nanswer = t1 \/ t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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","answer":7.0,"reasoning":"n0 = 32.0\nn1 = 2.0\nt0 = n1 * 2.0\nt1 = n0 - t0\nanswer = t1 \/ 4.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":0.2098765432,"reasoning":"n0 = 81.0\nn1 = 32.0\nt0 = n1 \/ 4.0\nt1 = t0**min(2.0, 5)\nt2 = n0 - t1\nanswer = t2 \/ n0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":576.0,"reasoning":"n0 = 24.0\nn1 = 64.0\nn2 = 8.0\nn3 = 8.0\nn4 = 24.0\n\nanswer = n0 * n0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":60.0,"reasoning":"n0 = 20.0\nn1 = 400.0\nt0 = n1 \/ n0\nt1 = t0 * 2.0\nanswer = n0 + t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 .","answer":17.0,"reasoning":"import math\nn0 = 2.0\nn1 = 7.0\nt0 = n0 + n1\nt1 = n1**min(2.0, 5)\nt2 = n0**min(2.0, 5)\nt3 = n0 * t0\nt4 = t1 - t2\nt5 = t4 * 4.0\nt6 = t3**min(2.0, 5)\nt7 = t6 - t5\nt8 = math.sqrt(max(0, t7))\nt9 = t3 + t8\nt10 = t9 \/ 2.0\nanswer = n0 + t10\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ) ?","answer":20.0,"reasoning":"n0 = 4.0\nn1 = 1.0\nn2 = 1.0\nn3 = 1.0\nn4 = 1.0\nn5 = 3.0\nn6 = 4.0\nn7 = 3.0\nt0 = n0 + n1\nt1 = n1 + n5\nanswer = t0 * t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":1856.0,"reasoning":"import math\nn0 = 64.0\nn1 = 58.0\nt0 = math.sqrt(max(0, n0))\nt1 = 4 * t0\nanswer = n1 * t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if y is the smallest positive integer such that 31,360 multiplied by y is the square of an integer , then y must be","answer":10.0,"reasoning":"n0 = 31360.0\nt0 = 2.0 + 3.0\nanswer = t0 * 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the length and breadth of a rectangle is increased by 10 % and 25 % respectively . what is the increase in the area ?","answer":37.5,"reasoning":"n0 = 10.0\nn1 = 25.0\nt0 = n0 + 100.0\nt1 = n1 + 100.0\nt2 = 100.0 * 100.0  # area of rectangle\nt3 = t0 * t1  # area of rectangle\nt4 = t3 - t2\nt5 = t4 * 100.0\nanswer = t5 \/ t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a small , rectangular park has a perimeter of 560 feet and a diagonal measurement of 600 feet . what is its area , in square feet ?","answer":172800.0,"reasoning":"n0 = 560.0\nn1 = 600.0\nt0 = 2.0 + 3.0\nt1 = n1 \/ t0\nt2 = t1 * 3.0\nt3 = t1 * 4.0\nanswer = t2 * t3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":56.8,"reasoning":"n0 = 100.0\nn1 = 40.0\nt0 = n0 \/ n0\nt1 = t0 + 1.0\nt2 = n1 * t1\nt3 = t1**2\nt4 = t3 + 1.0\nt5 = t2 \/ n0\nt6 = t1 + t5\nt7 = t6**2\nt8 = t7 - 1.0\nt9 = t8 - 4.0\nt10 = t9 \/ t4\nanswer = n0 * t10\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"there are 7 non - collinear points . how many triangles can be drawn by joining these points ?","answer":35.0,"reasoning":"n0 = 7.0\nt0 = 1.0 + 4.0\nanswer = n0 * t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"what is the probability of getting equilateral triangles from the vertices of regular hexagon ?","answer":0.1,"reasoning":"import scipy\nt0 = 3.0 + 3.0\nt1 = scipy.special.comb(t0, 3.0)\nanswer = 2.0 \/ t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the monthly rent of a shop of dimension 20 feet \u00d7 18 feet is rs . 1440 . what is the annual rent per square foot of the shop ?","answer":48.0,"reasoning":"n0 = 20.0\nn1 = 18.0\nn2 = 1440.0\nt0 = 10.0 + 2.0\nt1 = n0 * n1  # area of rectangle\nt2 = n2 \/ t1\nanswer = t0 * t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"find the curved surface area , if the radius of a cone is 21 m and slant height is 15 m ?","answer":989.6016858808,"reasoning":"n0 = 21.0\nn1 = 15.0\nt0 = n0 * n1\nanswer = t0 * 3.141592653589793\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the length of a rectangle is reduced by 22 % . by what % would the width have to be increased to maintainthe original area ?","answer":28.2051282051,"reasoning":"n0 = 22.0\nt0 = 100.0 - n0\nt1 = t0 \/ 100.0\nt2 = 1.0 - t1\nt3 = t2 \/ t1\nanswer = t3 * 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 .","answer":5938.8049374256,"reasoning":"import math\nn0 = 13.86\nn1 = 4.5\nt0 = n0 \/ 3.141592653589793\nt1 = math.sqrt(max(0, t0))\nt2 = t1 * 100.0\nt3 = 2 * math.pi * t2\nanswer = t3 * n1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"difference between the length and breadth of a rectangle is 23 m . ifits perimeter is 206 m , then its area is ? ?","answer":2520.0,"reasoning":"n0 = 23.0\nn1 = 206.0\nt0 = n1 \/ 2.0\nt1 = t0 - n0\nt2 = t1 \/ 2.0\nt3 = n0 + t2\nanswer = t3 * t2  # area of rectangle\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of sector of a circle whose radius is 12 metro and whose angle at the center is 42 \u00b0 is ?","answer":52.8,"reasoning":"n0 = 12.0\nn1 = 42.0\nt0 = 3.0 + 4.0\nt1 = 3600.0 \/ 10.0\nt2 = 10.0 * 2.0\nt3 = n0**min(2.0, 5)\nt4 = t2 + 2.0\nt5 = n1 \/ t1\nt6 = t4 \/ t0\nt7 = t6 * t3\nanswer = t5 * t7\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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","answer":25.0,"reasoning":"n0 = 20.0\nn1 = 2.5\n\nanswer = n0 * n1 \/ 2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":240.0,"reasoning":"n0 = 8.0\nn1 = 1200.0\nn2 = 1.0\nn3 = 6.0\nt0 = 4.0 * n3\nanswer = t0 * 10.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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","answer":7.0,"reasoning":"import math\nn0 = 14.0\nt0 = n0 \/ 2.0\nt1 = 4.0 * 3.141592653589793\nt2 = n0 * t0\nt3 = t2 * 3.141592653589793\nt4 = t3 * 2.0\nt5 = t4 \/ t1\nanswer = math.sqrt(max(0, t5))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":6500.0,"reasoning":"n0 = 80.0\nn1 = 60.0\nn2 = 10.0\nn3 = 5.0\nt0 = n0 + n1\nt1 = t0 - n2\nt2 = n2 * t1\nanswer = n3 * t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ) ?","answer":88.0,"reasoning":"n0 = 0.0\nn1 = 5.5\nn2 = 8.0\nn3 = 0.0\nn4 = 0.0\nn5 = 5.5\nn6 = 8.0\nn7 = 0.0\nt0 = n2 * 2.0\nt1 = n1 * 2.0\nanswer = t0 * t1 \/ 2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ) ?","answer":77.0,"reasoning":"n0 = 0.0\nn1 = 3.5\nn2 = 11.0\nn3 = 0.0\nn4 = 0.0\nn5 = 3.5\nn6 = 11.0\nn7 = 0.0\nt0 = n2 * 2.0\nt1 = n1 * 2.0\nanswer = t0 * t1 \/ 2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 :","answer":59.9758597504,"reasoning":"import math\nn0 = 42.0\nn1 = 6.0\nn2 = 5.0\nt0 = n1 + n2\nt1 = 2 * math.pi * n0\nt2 = t0 * 2.0\nt3 = t1 \/ t2\nanswer = n2 * t3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 .","answer":10.9955742876,"reasoning":"import math\nn0 = 8.0\nn1 = 6.0\nt0 = 2 * (n0 + n1)  # perimetere of rectangle\nt1 = t0 \/ 4. # square edge given perimeter\nt2 = t1 \/ 2.0\nt3 = 2 * math.pi * t2\nanswer = t3 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":15393.80400259,"reasoning":"import math\nn0 = 25.0\nn1 = 140.0\nt0 = math.pi * n1**2\nanswer = t0 \/ 4.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a lady grows cabbage in her garden that is in the shape of a square . each cabbage takes 1 square foot of area in her garden . this year , she has increased her output by 127 cabbages when compared to last year . the shape of the area used for growing the cabbage has remained a square in both these years . how many cabbages did she produce this year ?","answer":4096.0,"reasoning":"n0 = 1.0\nn1 = 127.0\nt0 = n1 - n0\nt1 = t0 \/ 2.0\nt2 = n0 + t1\nanswer = t2**min(2.0, 5)\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the length of a rectangle is reduced by 10 % . by what % would the width have to be increased to maintain the original area ?","answer":11.1111111111,"reasoning":"n0 = 10.0\nt0 = 100.0 - n0\nt1 = t0 \/ 100.0\nt2 = 1.0 - t1\nt3 = t2 \/ t1\nanswer = t3 * 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 blue tiles will be there ?","answer":16.0,"reasoning":"n0 = 20.0\nn1 = 10.0\nn2 = 2.0\nt0 = n0 + n0\nt1 = 3.0 + 3.0\nt2 = n0 * n1\nt3 = t0 + t1\nt4 = t3 + t1\nt5 = t4 * 2.0\nt6 = t2 - t5\nt7 = t6 \/ 3.0\nt8 = t6 - t7\nanswer = t8 \/ 4.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the diagonals of a rhombus are 14 cm and 20 cm . find its area ?","answer":140.0,"reasoning":"n0 = 14.0\nn1 = 20.0\n\nanswer = n0 * n1 \/ 2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":30.0,"reasoning":"n0 = 8.0\nn1 = 15.0\nn2 = 4.0\nt0 = n0 * n1  # area of rectangle\nanswer = t0 \/ n2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":1624.0,"reasoning":"import math\nn0 = 49.0\nn1 = 58.0\nt0 = math.sqrt(max(0, n0))\nt1 = 4 * t0\nanswer = n1 * t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if circles x and y have the same area and circle x has a circumference of 18 \u03c0 , half of the radius of circle y is :","answer":4.5,"reasoning":"n0 = 18.0\nt0 = n0 \/ 2.0\nanswer = t0 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":20.0,"reasoning":"import math\nn0 = 4.0\nn1 = 11.0\nn2 = 25.0\nt0 = n1 \/ n2\nt1 = n0 * 2.0\nt2 = n0**min(2.0, 5)\nt3 = t0 * 4.0\nt4 = t1**min(2.0, 5)\nt5 = t3 * t2\nt6 = t5 + t4\nt7 = math.sqrt(max(0, t6))\nt8 = t1 + t7\nt9 = t8 \/ t0\nanswer = t9 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the perimeter and diagonal of a rectangle are 14 and 5 cms respectively , find its area .","answer":12.0,"reasoning":"n0 = 14.0\nn1 = 5.0\nt0 = n0 \/ 2.0\nt1 = n1**min(2.0, 5)\nt2 = t0**min(2.0, 5)\nt3 = t2 - t1\nanswer = t3 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of a circle is increased by 300 % . by what percent has the diameter of the circle increased ?","answer":100.0,"reasoning":"n0 = 300.0\nt0 = 2.0 \/ 2.0\nanswer = t0 * 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":20.0,"reasoning":"import math\nn0 = 5.0\nn1 = 1.0\nn2 = 8.0\nt0 = 1 \/ 2.0\nt1 = n0**2\nt2 = n2 * t1\nt3 = t2 \/ t0\nanswer = math.sqrt(max(0, t3))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":1000.0,"reasoning":"n0 = 125.0\nt0 = n0**(1 \/ 3)\nt1 = t0 * 2.0\nanswer = t1**3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 \u2019 sum of the 125 smaller cubes and the surface area of the larger cube , in square inch ?","answer":600.0,"reasoning":"n0 = 125.0\nn1 = 125.0\nn2 = 1.0\nn3 = 125.0\nt0 = n2**(1 \/ 3)\nt1 = n0**(1 \/ 3)\nt2 = 6 * t0**2  # surface of a cube\nt3 = 6 * t1**2  # surface of a cube\nt4 = n0 * t2\nanswer = t4 - t3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":10.0,"reasoning":"import math\nn0 = 1.0\nn1 = 5.0\nt0 = n1**min(2.0, 5)\nt1 = math.sqrt(max(0, t0))\nanswer = t1 * 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":3.0,"reasoning":"import math\nn0 = 60.0\nn1 = 40.0\nn2 = 2109.0\nt0 = n0 + n1\nt1 = 1.0 * 4.0\nt2 = n0 * n1\nt3 = 1.0 * 2.0\nt4 = 100.0**min(2.0, 5)\nt5 = -t0\nt6 = t2 - n2\nt7 = t1 * t6\nt8 = -t5\nt9 = t4 - t7\nt10 = math.sqrt(max(0, t9))\nt11 = t8 - t10\nanswer = t11 \/ t3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"find the sum of divisors of 544 which are perfect squares .","answer":21.0,"reasoning":"import math\nn0 = 544.0\nt0 = n0 \/ 2.0\nt1 = t0 \/ 2.0\nt2 = t1 \/ 2.0\nt3 = t2 \/ 2.0\nt4 = t3 \/ 2.0\nt5 = n0 \/ t4\nt6 = t5 \/ 2.0\nt7 = math.sqrt(max(0, t6))\nt8 = t7 + 1.0\nanswer = t8 + t6\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the radius of the base of cone is 3 cm and height is 4 cm . find the volume of the cone ?","answer":12.0,"reasoning":"n0 = 3.0\nn1 = 4.0\n\nanswer = n0 * n1  # area of rectangle\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the length of the sides of two cubes are in the ratio 4 : 1 , what is the ratio of their total surface area ?","answer":16.0,"reasoning":"n0 = 4.0\nn1 = 1.0\n\nanswer = n0 * n0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"compute the perimeter of a square with area 36 .","answer":24.0,"reasoning":"import math\nn0 = 36.0\nt0 = math.sqrt(max(0, n0))\nanswer = t0 * 4.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"volume of a right circular cylinder is 6 o l . if radius of cylinder is doubled , then what will be the increase in volume ?","answer":180.0,"reasoning":"n0 = 6.0\nt0 = n0 * 10.0\nt1 = t0 * 4.0\nanswer = t1 - t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the length of rectangle is thrice its breadth and its perimeter is 72 m , find the area of the rectangle ?","answer":243.0,"reasoning":"n0 = 72.0\nt0 = 2.0 * 3.0\nt1 = 1.0 * 2.0\nt2 = t0 + t1\nt3 = n0 \/ t2\nt4 = t3 * 3.0\nanswer = t3 * t4\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":5.0,"reasoning":"n0 = 15.0\nn1 = 10.0\n\nanswer = n0 - n1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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","answer":45.0,"reasoning":"n0 = 36.0\nn1 = 2.5\n\nanswer = n0 * n1 \/ 2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":18.0,"reasoning":"import math\nn0 = 36.0\nt0 = math.sqrt(max(0, n0))\nt1 = t0 \/ 2.0\nanswer = t1 * t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":270.0,"reasoning":"import math\nn0 = 2025.0\nn1 = 10.0\nt0 = 1.0 + 4.0\nt1 = math.sqrt(n0)  # square edge given area\nt2 = t1 * 3.0\nt3 = t2 \/ t0\nanswer = n1 * t3  # area of rectangle\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the radius of a cylinder is 12 m , height 21 m . the lateral surface area of the cylinder is :","answer":1583.3626974093,"reasoning":"import math\nn0 = 12.0\nn1 = 21.0\nt0 = 2 * math.pi * n0\nanswer = n1 * t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":2718.0,"reasoning":"n0 = 25.0\nn1 = 15.0\nn2 = 12.0\nn3 = 3.0\nn4 = 6.0\nn5 = 3.0\nn6 = 4.0\nn7 = 3.0\nt0 = n0 + n1\nt1 = n2 * 2.0\nt2 = n4 * n5\nt3 = n5 * n6\nt4 = t0 * t1\nt5 = n5 * t3\nt6 = t4 - t2\nt7 = t6 - t5\nanswer = n3 * t7\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":8.0,"reasoning":"import math\nn0 = 1.0\nn1 = 4.0\nt0 = n1**min(2.0, 5)\nt1 = math.sqrt(max(0, t0))\nanswer = t1 * 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the size of a flat - screen tablet is given as the length of the screen \u2019 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 ?","answer":7.5,"reasoning":"n0 = 8.0\nn1 = 7.0\nt0 = n0**min(2.0, 5)\nt1 = n1**min(2.0, 5)\nt2 = t0 \/ 2.0\nt3 = t1 \/ 2.0\nanswer = t2 - t3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 .","answer":98.0,"reasoning":"n0 = 5.0\nn1 = 5.0\nn2 = 5.0\nn3 = 1.0\nn4 = 1.0\nn5 = 1.0\nt0 = n0 * n0\nt1 = n0 - 2.0\nt2 = n0 * t0\nt3 = t1 * t1\nt4 = t3 * 3.0\nanswer = t2 - t4\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 amit goes first , what fraction of the wall ' s area will remain unpainted after amit has completed his 6 th shift ?","answer":0.0020576132,"reasoning":"n0 = 1.0\nn1 = 2.0\nn2 = 1.0\nn3 = 3.0\nn4 = 6.0\nt0 = n0 \/ n1\nt1 = n0 - t0\nt2 = t1 \/ n3\nt3 = t1 - t2\nt4 = t3 \/ n1\nt5 = t4 \/ n3\nt6 = t4 - t5\nt7 = t6 \/ n1\nt8 = t7 \/ n3\nt9 = t7 - t8\nt10 = t9 \/ n1\nt11 = t10 \/ n3\nt12 = t10 - t11\nt13 = t12 \/ n1\nt14 = t13 \/ n3\nt15 = t13 - t14\nanswer = t15 \/ n1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the length of a rectangle is reduced by 25 % . by what % would the width have to be increased to maintainthe original area ?","answer":33.3333333333,"reasoning":"n0 = 25.0\nt0 = 100.0 - n0\nt1 = t0 \/ 100.0\nt2 = 1.0 - t1\nt3 = t2 \/ t1\nanswer = t3 * 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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","answer":25.0,"reasoning":"import math\nn0 = 5.0\nn1 = 750.0\nt0 = n1 * 4.0\nt1 = n0**min(2.0, 5)\nt2 = t0 + t1\nt3 = math.sqrt(max(0, t2))\nt4 = n0 + t3\nt5 = t4 \/ 2.0\nanswer = t5 - n0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":40.0,"reasoning":"n0 = 5.0\nt0 = 2.0 * 4.0\nanswer = n0 * t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":". if the sides of two cubes are in the ratio 3 : 1 the ratio of their total surface area is ?","answer":9.0,"reasoning":"n0 = 3.0\nn1 = 1.0\nt0 = 6 * n0**2  # surface of a cube\nt1 = 6 * n1**2  # surface of a cube\nanswer = t0 \/ t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":0.7538461538,"reasoning":"n0 = 65.0\nn1 = 16.0\nt0 = n1 \/ 4.0\nt1 = t0**min(2.0, 5)\nt2 = n0 - t1\nanswer = t2 \/ n0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 .","answer":8.0,"reasoning":"import math\nn0 = 784.0\nt0 = 3.0 + 4.0\nt1 = math.sqrt(n0)  # square edge given area\nt2 = t1 \/ 2.0\nt3 = t0 \/ 3.0\nt4 = t2 \/ t3\nanswer = t4 + 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 \u2220 oab ?","answer":72.0,"reasoning":"n0 = 10.0\nt0 = 360.0 \/ n0\nt1 = 180.0 - t0\nanswer = t1 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":384.0,"reasoning":"n0 = 12.0\nn1 = 16.0\nn2 = 6.0\nn3 = 3.0\nt0 = n0 * n1\nt1 = n2 * t0\nanswer = t1 \/ n3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"how many internal diagonals does a octagon ( eight sided polygon ) have ?","answer":20.0,"reasoning":"t0 = 2.0 * 4.0\nt1 = t0 \/ 2.0\nt2 = t0 - 3.0\nanswer = t1 * t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":11.0,"reasoning":"import math\nn0 = 363.0\nt0 = n0 \/ 3.0\nanswer = math.sqrt(max(0, t0))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"you buy a piece of land with an area of \u221a 900 , how long is one side of the land plot ?","answer":30.0,"reasoning":"import math\nn0 = 900.0\n\nanswer = math.sqrt(max(0, n0))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the diagonals of a rhombus are 10 cm and 12 cm . find its area ?","answer":60.0,"reasoning":"n0 = 10.0\nn1 = 12.0\n\nanswer = n0 * n1 \/ 2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"find the area of a parallelogram with base 14 cm and height 24 cm .","answer":336.0,"reasoning":"n0 = 14.0\nn1 = 24.0\n\nanswer = n0 * n1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the slant height of a cone is 10 cm and radius of the base is 5 cm , find the curved surface of the cone ?","answer":157.0796326795,"reasoning":"n0 = 10.0\nn1 = 5.0\nt0 = n1 * 3.141592653589793\nanswer = n0 * t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":3900.0,"reasoning":"n0 = 80.0\nn1 = 60.0\nn2 = 10.0\nn3 = 3.0\nt0 = n0 + n1\nt1 = t0 - n2\nt2 = n2 * t1\nanswer = n3 * t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the red triangle is equilateral with a side of 23 centimetres . its perimeter is","answer":69.0,"reasoning":"n0 = 23.0\n\nanswer = n0 + n0 + n0  # perimeter of a triangle\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":12.0,"reasoning":"import math\nn0 = 34.0\nn1 = 9.0\nn2 = 15.0\nt0 = n2**min(2.0, 5)\nt1 = n1**min(2.0, 5)\nt2 = t0 - t1\nanswer = math.sqrt(max(0, t2))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of sector of a circle whose radius is 12 metro and whose angle at the center is 38 \u00b0 is ?","answer":47.7714285714,"reasoning":"n0 = 12.0\nn1 = 38.0\nt0 = 3.0 + 4.0\nt1 = 3600.0 \/ 10.0\nt2 = 10.0 * 2.0\nt3 = n0**min(2.0, 5)\nt4 = t2 + 2.0\nt5 = n1 \/ t1\nt6 = t4 \/ t0\nt7 = t6 * t3\nanswer = t5 * t7\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":4080.0,"reasoning":"import math\nn0 = 289.0\nn1 = 60.0\nt0 = math.sqrt(max(0, n0))\nt1 = 4 * t0\nanswer = n1 * t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"find the surface area of a 10 cm x 4 cm x 3 cm brick","answer":164.0,"reasoning":"n0 = 10.0\nn1 = 4.0\nn2 = 3.0\n\nanswer = 2 * (n0 * n1 + n0 * n2 + n1 * n2)  # surface of a rectangular prism\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the sides of a triangle are 26 cm , 24 cm and 15 cm , what is its area ?","answer":180.0,"reasoning":"n0 = 26.0\nn1 = 24.0\nn2 = 15.0\nt0 = n1 * n2\nanswer = t0 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":7.2,"reasoning":"n0 = 18.0\nn1 = 10.0\nn2 = 25.0\nt0 = n0 * n1\nanswer = t0 \/ n2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ( in square inches ) of the smaller triangle ?","answer":14.365,"reasoning":"n0 = 35.0\nn1 = 34.0\nt0 = n0 \/ 100.0\nt1 = 1.0 - t0\nt2 = t1**min(2.0, 5)\nanswer = n1 * t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the length of a rectangle is increased by 20 % and its breadth is decreased by 20 % . what is the effect on its area ?","answer":9600.0,"reasoning":"n0 = 20.0\nn1 = 20.0\nt0 = n0 + 100.0\nt1 = 100.0 - n1\nanswer = t0 * t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":12.0,"reasoning":"n0 = 27.0\nn1 = 2.0\nt0 = 1.0 \/ 3.0\nt1 = n0**min(t0, 5)\nanswer = t1 * 4.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":85.0,"reasoning":"n0 = 10.0\nt0 = 3600.0 \/ 10.0\nt1 = n0 * 2.0\nt2 = t0 - t1\nanswer = t2 \/ 4.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":64.0,"reasoning":"n0 = 8.0\nt0 = 2.0 * 4.0\nanswer = n0 * t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":13.0,"reasoning":"import math\nn0 = 507.0\nt0 = n0 \/ 3.0\nanswer = math.sqrt(max(0, t0))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 .","answer":876.0,"reasoning":"n0 = 36.5\nn1 = 1.0\nn2 = 16.0\nn3 = 8.0\nt0 = 6 * n3**2  # surface of a cube\nt1 = t0 \/ n2\nanswer = n0 * t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":45.0,"reasoning":"n0 = 300.0\nn1 = 180.0\nn2 = 30.0\nt0 = n0 - n1\nt1 = t0 - n2\nanswer = t1 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the difference between the length and breadth of a rectangle is 23 m and its perimeter is 246 m , what is its area ?","answer":3650.0,"reasoning":"n0 = 23.0\nn1 = 246.0\nt0 = n0 * 2.0\nt1 = n1 - t0\nt2 = t1 \/ 4.0\nt3 = n0 + t2\nanswer = t3 * t2  # area of rectangle\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":1440.0,"reasoning":"import math\nn0 = 12.0\nn1 = 1200.0\nn2 = 2.0\nn3 = 30.0\nt0 = n1 \/ n3\nt1 = n3**min(n2, 5)\nt2 = n3 + t0\nt3 = t0**min(n2, 5)\nt4 = t1 + t3\nt5 = math.sqrt(max(0, t4))\nt6 = t2 + t5\nanswer = n0 * t6\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":8.0,"reasoning":"import math\nn0 = 12.0\nn1 = 16.0\nn2 = 18.0\nt0 = n1 \/ 2.0\nt1 = n0 * 3.141592653589793\nt2 = math.pi * t0**2 * n0\nt3 = t2 \/ t1\nanswer = math.sqrt(max(0, t3))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the length and breadth of a rectangle is increased by 3 % and 6 % respectively . what is the increase in the area ?","answer":9.18,"reasoning":"n0 = 3.0\nn1 = 6.0\nt0 = n0 + 100.0\nt1 = n1 + 100.0\nt2 = 100.0 * 100.0  # area of rectangle\nt3 = t0 * t1  # area of rectangle\nt4 = t3 - t2\nt5 = t4 * 100.0\nanswer = t5 \/ t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the surface area of a sphere is 4 \u03c0 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 ?","answer":9.0,"reasoning":"n0 = 4.0\nn1 = 2.0\nn2 = 3.0\nt0 = n2 \/ 3.141592653589793\nt1 = n0 * 3.141592653589793\nt2 = t0 * t1\nt3 = t0 * 3.141592653589793\nt4 = t2 \/ n1\nanswer = t4 + t3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"an isosceles triangle those sides are 13 cm , 13 cm , 10 cm long inscribed in a circle . find the radius of the circle","answer":8.0416666667,"reasoning":"import math\nn0 = 13.0\nn1 = 13.0\nn2 = 10.0\nt0 = n2 \/ 2.0\nt1 = n0**min(2.0, 5)\nt2 = t0**min(2.0, 5)\nt3 = t1 - t2\nt4 = t2 + t3\nt5 = math.sqrt(max(0, t3))\nt6 = t5 * 2.0\nt7 = t4 \/ t6\nanswer = t7 + 1.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the minimum number of tiles of size 16 by 24 required to form a square by placing them adjacent to one another is","answer":6.0,"reasoning":"n0 = 16.0\nn1 = 24.0\n\nanswer = n1 \/ 4.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the length of a rectangle is reduced by 30 % . by what % would the width have to be increased to maintain the original area ?","answer":42.8571428571,"reasoning":"n0 = 30.0\nt0 = 100.0 - n0\nt1 = t0 \/ 100.0\nt2 = 1.0 - t1\nt3 = t2 \/ t1\nanswer = t3 * 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 :","answer":30.0,"reasoning":"n0 = 5.0\nn1 = 750.0\nn2 = 2.0\nt0 = n1 \/ n0\nanswer = t0 \/ n0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":120.0,"reasoning":"import math\nn0 = 50.0\nn1 = 72.0\nt0 = n1 \/ n0\nt1 = math.sqrt(max(0, t0))\nanswer = t1 * 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 percent of the budget it represents , how many degrees of the circle are used to represent transportation ?","answer":90.0,"reasoning":"n0 = 55.0\nn1 = 9.0\nn2 = 5.0\nn3 = 4.0\nn4 = 2.0\nt0 = n0 + n1\nt1 = n2 + t0\nt2 = n3 + t1\nt3 = n4 + t2\nt4 = 100.0 - t3\nt5 = t4 * 360.0\nanswer = t5 \/ 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":140.0,"reasoning":"n0 = 34.0\nn1 = 38.0\nt0 = n1 * 2.0\nt1 = t0 - n0\nt2 = t1 \/ 3.0\nt3 = t2 * 2.0\nt4 = n1 - t3\nanswer = t2 * t4\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 .","answer":1693.3184402849,"reasoning":"import math\nn0 = 35.0\nn1 = 7.0\nt0 = n0 + n1\nt1 = math.pi * n0**2\nt2 = math.pi * t0**2\nanswer = t2 - t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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","answer":40.0,"reasoning":"n0 = 32.0\nn1 = 2.5\n\nanswer = n0 * n1 \/ 2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"how many diagonals does a polygon with 19 sides have , if one of its vertices does not connect to any diagonal ?","answer":135.0,"reasoning":"n0 = 19.0\nt0 = n0 - 1.0\nt1 = t0 - 3.0\nt2 = t0 * t1\nanswer = t2 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":36.0,"reasoning":"n0 = 19.0\nn1 = 17.0\nt0 = n0**min(2.0, 5)\nt1 = n1**min(2.0, 5)\nt2 = t0 - t1\nanswer = t2 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":31.4159265359,"reasoning":"import math\nn0 = 2.0\nn1 = 10.0\nt0 = n0 \/ n0\nanswer = math.pi * t0**2 * n1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the side of a square is increased by 20 % then how much % does its area increases ?","answer":44.0,"reasoning":"n0 = 20.0\nt0 = n0 + 100.0\nt1 = 100.0**2\nt2 = t0**2\nt3 = t2 - t1\nt4 = t3 * 100.0\nanswer = t4 \/ t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":40.0,"reasoning":"n0 = 32.0\nn1 = 2.5\n\nanswer = n0 * n1 \/ 2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":1800.0,"reasoning":"n0 = 60.0\nn1 = 10.0\nn2 = 20.0\nt0 = n0 \/ n1\nt1 = n1 * n1\nt2 = t0 * t1\nt3 = t2 \/ n2\nanswer = n0 * t3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the width of a rectangular hall is \u00bd of its length . if the area of the hall is 800 sq . m , what is the difference between its length and breadth ?","answer":20.0,"reasoning":"import math\nn0 = 800.0\nt0 = 1.0 \/ 2.0\nt1 = n0 \/ t0\nt2 = math.sqrt(max(0, t1))\nanswer = t2 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":17.0,"reasoning":"import math\nn0 = 867.0\nt0 = n0 \/ 3.0\nanswer = math.sqrt(max(0, t0))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":10.0,"reasoning":"import math\nn0 = 6.0\nn1 = 8.0\nt0 = n0**min(2.0, 5)\nt1 = n1**min(2.0, 5)\nt2 = t0 + t1\nanswer = math.sqrt(max(0, t2))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":314.0,"reasoning":"n0 = 9.0\nn1 = 8.0\nn2 = 5.0\n\nanswer = 2 * (n0 * n1 + n0 * n2 + n1 * n2)  # surface of a rectangular prism\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":100.0,"reasoning":"n0 = 11.0\nn1 = 9.0\nn2 = 4.5\nn3 = 11.0\nt0 = n0 * n1  # area of rectangle\nt1 = n0 * n2  # area of rectangle\nt2 = t0 * 2.0\nt3 = t1 * 2.0\nt4 = t2 - t3\nt5 = t4 \/ t0\nanswer = t5 * 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the sides of a triangle are 31 cm , 29 cm and 15 cm , what is its area ?","answer":217.5,"reasoning":"n0 = 31.0\nn1 = 29.0\nn2 = 15.0\nt0 = n1 * n2\nanswer = t0 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 .","answer":10.0,"reasoning":"import math\nn0 = 200.0\nn1 = 60.0\nt0 = n1 \/ 2.0\nt1 = n0 * 4.0\nt2 = t0 * t0\nt3 = t2 - t1\nt4 = math.sqrt(max(0, t3))\nt5 = t0 - t4\nanswer = t5 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":1200.0,"reasoning":"n0 = 15.0\nn1 = 12.0\nt0 = n1 * 2.0\nt1 = n0 * 2.0\nt2 = n0 * n1  # area of rectangle\nt3 = t0 + t1\nt4 = t2 * 2.0\nt5 = t4 \/ t3\nanswer = n0 * n1 * t5\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the diagonal of a rhombus are 80 m and 120 m . its area is :","answer":4800.0,"reasoning":"n0 = 80.0\nn1 = 120.0\n\nanswer = n0 * n1 \/ 2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":598.0,"reasoning":"import math\nn0 = 4761.0\nn1 = 13.0\nt0 = math.sqrt(max(0, n0))\nt1 = t0 * 2.0\nt2 = t1 \/ 3.0\nanswer = n1 * t2  # area of rectangle\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the perimeter of an isosceles right triangle is 12 + 12 sq rt 2 . what is the length of the hypotenuse of the triangle ?","answer":8.4852813742,"reasoning":"import math\nn0 = 12.0\nn1 = 12.0\nn2 = 2.0\nt0 = math.sqrt(max(0, n2))\nt1 = n0 * t0\nanswer = t1 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":2.0,"reasoning":"t0 = 1.0 * 1.0  # area of rectangle\nt1 = t0 * t0 \/ 2\nanswer = t0 \/ t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the length and breadth of a rectangle is increased by 11 % and 22 % respectively . what is the increase in the area ?","answer":35.42,"reasoning":"n0 = 11.0\nn1 = 22.0\nt0 = n0 + 100.0\nt1 = n1 + 100.0\nt2 = 100.0 * 100.0  # area of rectangle\nt3 = t0 * t1  # area of rectangle\nt4 = t3 - t2\nt5 = t4 * 100.0\nanswer = t5 \/ t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"which is the smallest no which divides 2880 and gives a perfect square ?","answer":5.0,"reasoning":"n0 = 2880.0\nt0 = n0 \/ 4.0\nt1 = t0 \/ 3.0\nt2 = t1 \/ 4.0\nt3 = t2 \/ 3.0\nt4 = t3 \/ 2.0\nanswer = t4 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"what is the area of a circle having the same perimeter as that of a square whose area is 121 .","answer":308.1239698259,"reasoning":"import math\nn0 = 121.0\nt0 = math.sqrt(max(0, n0))\nt1 = t0 * 4.0\nt2 = t1 \/ 3.141592653589793\nt3 = t2 \/ 2.0\nt4 = t3 * t3\nt5 = t4 * 3.141592653589793\nanswer = t5 * 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 fit in the crate ?","answer":7.0,"reasoning":"n0 = 7.0\nn1 = 8.0\nn2 = 12.0\nt0 = n1 * n2\nt1 = n0 * t0\nt2 = t1 \/ n2\nanswer = t2 \/ n1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":53.0,"reasoning":"n0 = 148.0\nn1 = 92.0\nn2 = 78.0\nn3 = 31.0\nt0 = n0 - n1\nt1 = t0 - n3\nanswer = n2 - t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":48.0,"reasoning":"n0 = 6.0\nt0 = 2.0 * 4.0\nanswer = n0 * t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":42.0,"reasoning":"n0 = 22.0\nn1 = 20.0\nt0 = n0**min(2.0, 5)\nt1 = n1**min(2.0, 5)\nt2 = t0 - t1\nanswer = t2 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":18.0,"reasoning":"import math\nn0 = 6.0\nt0 = math.factorial(min(15, int(n0)))\nt1 = math.factorial(min(15, int(3.0)))\nt2 = t1 * t1\nt3 = t0 \/ t2\nanswer = t3 - 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 .","answer":4000.0,"reasoning":"n0 = 280.0\nn1 = 5.0\nn2 = 2.0\nt0 = n1 + n2\nt1 = t0 * 2.0\nt2 = n0 \/ t1\nt3 = t2**min(2.0, 5)\nt4 = n1 * t3\nanswer = n2 * t4\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"what is the area of square field whose side of length 13 m ?","answer":169.0,"reasoning":"n0 = 13.0\n\nanswer = n0**2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 cabbages did she produce this year ?","answer":9409.0,"reasoning":"n0 = 1.0\nn1 = 193.0\nt0 = 0.25 + 0.25\nt1 = n1 \/ 2.0\nt2 = t0 + t1\nanswer = t2**min(2.0, 5)\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"each side of a rectangular field diminished by 40 % . by how much per cent is the area of the field diminished ?","answer":64.0,"reasoning":"n0 = 40.0\nt0 = 100.0 * 100.0\nt1 = 100.0 - n0\nt2 = t1 * t1\nt3 = t0 - t2\nt4 = t3 \/ t0\nanswer = t4 * 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":226.9800692219,"reasoning":"n0 = 46.0\nn1 = 20.0\nn2 = 17.0\nt0 = n2**min(2.0, 5)\nt1 = t0 * 3.141592653589793\nanswer = t1 \/ 4.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 broccoli did she produce this year ?","answer":1600.0,"reasoning":"n0 = 1.0\nn1 = 79.0\nt0 = n0 + n1\nt1 = t0 \/ 2.0\nanswer = t1**min(2.0, 5)\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"find the area of the quadrilateral of one of its diagonals is 40 cm and its off sets 11 cm and 9 cm ?","answer":400.0,"reasoning":"n0 = 40.0\nn1 = 11.0\nn2 = 9.0\nt0 = n1 + n2\nt1 = 1.0 \/ 2.0\nt2 = t0 * t1\nanswer = n0 * t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"in how many q ways can 5 people from a group of 6 people be seated around a circular table","answer":144.0,"reasoning":"import math\nn0 = 5.0\nn1 = 6.0\nt0 = math.factorial(min(15, int(n1)))\nt1 = math.factorial(min(15, int(n0)))\nt2 = n0 - 1.0\nt3 = t0 \/ t1\nt4 = math.factorial(min(15, int(t2)))\nanswer = t3 * t4\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":99.0,"reasoning":"n0 = 26.0\nt0 = 1.0 + 3.0\nt1 = t0 + 1.0\nt2 = t1**min(3.0, 5)\nanswer = t2 - n0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of sector of a circle whose radius is 12 metro and whose angle at the center is 39 \u00b0 is ?","answer":49.0285714286,"reasoning":"n0 = 12.0\nn1 = 39.0\nt0 = 3.0 + 4.0\nt1 = 3600.0 \/ 10.0\nt2 = 10.0 * 2.0\nt3 = n0**min(2.0, 5)\nt4 = t2 + 2.0\nt5 = n1 \/ t1\nt6 = t4 \/ t0\nt7 = t6 * t3\nanswer = t5 * t7\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":3300.0,"reasoning":"n0 = 80.0\nn1 = 40.0\nn2 = 10.0\nn3 = 3.0\nt0 = n0 + n1\nt1 = t0 - n2\nt2 = n2 * t1\nanswer = n3 * t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":84.0,"reasoning":"n0 = 4.0\nn1 = 10.0\nt0 = n1**min(2.0, 5)\nt1 = n0**min(2.0, 5)\nanswer = t0 - t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":408.0,"reasoning":"n0 = 10.0\nn1 = 9.0\nn2 = 6.0\n\nanswer = 2 * (n0 * n1 + n0 * n2 + n1 * n2)  # surface of a rectangular prism\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 one red face ?","answer":70.3703703704,"reasoning":"n0 = 6.0\nt0 = 1.0 * 4.0\nt1 = n0**3\nt2 = t0**3\nt3 = t2 \/ t1\nt4 = 1.0 - t3\nanswer = t4 * 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":84.0,"reasoning":"n0 = 8.0\nn1 = 7.0\nt0 = n0 * n1\nt1 = n0 - 1.0\nt2 = n0 * t1\nt3 = t2 \/ 2.0\nanswer = t3 + t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":97.0,"reasoning":"n0 = 80.0\nn1 = 680.0\nt0 = n1 \/ n0\nt1 = t0 * 2.0\nanswer = n0 + t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":92.0,"reasoning":"n0 = 20.0\nn1 = 720.0\nt0 = n1 \/ n0\nt1 = t0 * 2.0\nanswer = n0 + t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the sum of a number and its square is 20 , what is the number ?","answer":4.0,"reasoning":"import math\nn0 = 20.0\nt0 = math.sqrt(max(0, n0))\nanswer = math.floor(t0)\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 )","answer":2250.0,"reasoning":"n0 = 60.0\nn1 = 10.0\nn2 = 6.0\nn3 = 1.0\nn4 = 7.5\nt0 = 10.0 + 2.0\nt1 = n2 \/ t0\nt2 = n0 * n1 * t1\nanswer = n4 * t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":16.0,"reasoning":"n0 = 1.0\nn1 = 3.0\nn2 = 64.0\nt0 = n1 * 2.0\nt1 = n0 * 2.0\nt2 = t0**min(2.0, 5)\nt3 = t1**min(2.0, 5)\nt4 = t2 - t3\nt5 = n2 - t4\nanswer = t5 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 :","answer":4940.0,"reasoning":"n0 = 48.0\nn1 = 36.0\nn2 = 5.0\nn3 = 3.0\nt0 = n2 * 2.0\nt1 = n0 - t0\nt2 = n1 - t0\nanswer = n2 * t1 * t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":16.0,"reasoning":"import math\nn0 = 64.0\nt0 = math.sqrt(max(0, n0))\nt1 = math.sqrt(max(0, 2.0))\nt2 = t0 * t1\nt3 = t2**min(2.0, 5)\nt4 = t3 + t3\nanswer = math.sqrt(max(0, t4))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":2735.0,"reasoning":"n0 = 10940.0\nn1 = 4.0\n\nanswer = n0 \/ n1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":23.0,"reasoning":"n0 = 2.0\nn1 = 4.0\nn2 = 94.0\nt0 = n1 * 2.0\nt1 = n0 * 2.0\nt2 = t0**min(2.0, 5)\nt3 = t1**min(2.0, 5)\nt4 = t2 - t3\nt5 = n2 - t4\nanswer = t5 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":6.0,"reasoning":"n0 = 3.0\nt0 = 2.0 * 3.0\nt1 = 1.0 * 1.0\nanswer = t0 * t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the length of the longest chord of a certain circle is 24 , what is the radius of that certain circle ?","answer":12.0,"reasoning":"n0 = 24.0\n\nanswer = n0 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":143.0,"reasoning":"import math\nn0 = 169.0\nn1 = 2.0\nn2 = 2.0\nt0 = math.sqrt(max(0, n0))\nt1 = t0 - 2.0\nanswer = t0 * t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"what is the measure of the angle w made by the diagonals of the any adjacent sides of a cube .","answer":60.0,"reasoning":"\nanswer = 180.0 \/ 3.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":0.64,"reasoning":"n0 = 25.0\nn1 = 12.0\nt0 = n1 \/ 4.0\nt1 = t0**min(2.0, 5)\nt2 = n0 - t1\nanswer = t2 \/ n0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"what is the area of square field whose side of length 14 m ?","answer":196.0,"reasoning":"n0 = 14.0\n\nanswer = n0**2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"what is the area of a square with perimeter 12 p ?","answer":9.0,"reasoning":"n0 = 12.0\nt0 = n0 \/ 4. # square edge given perimeter\nanswer = t0**2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":5.0,"reasoning":"import math\nn0 = 6.0\nt0 = math.factorial(min(15, int(n0)))\nt1 = math.factorial(min(15, int(3.0)))\nt2 = math.factorial(min(15, int(4.0)))\nt3 = math.factorial(min(15, int(2.0)))\nt4 = t1 * t1\nt5 = t2 * t3\nt6 = t0 \/ t4\nt7 = t0 \/ t5\nanswer = t6 - t7\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":25.0,"reasoning":"n0 = 20.0\nn1 = 50.0\nt0 = n1 \/ n0\nt1 = t0 * 2.0\nanswer = n0 + t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":75.0,"reasoning":"n0 = 7.0\nn1 = 5.0\nn2 = 360.0\nt0 = n0 \/ n1\nt1 = t0 + t0\nt2 = t1 + 2.0\nanswer = n2 \/ t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"what no should be subtracted from 92555 to make it a perfect square ?","answer":139.0,"reasoning":"import math\nn0 = 92555.0\nt0 = math.sqrt(max(0, n0))\nt1 = math.floor(t0)\nt2 = t1 * t1\nanswer = n0 - t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the perimeter of one face of a cube is 40 cm . its volume will be :","answer":1000.0,"reasoning":"n0 = 40.0\nt0 = n0 \/ 4. # square edge given perimeter\nanswer = t0**3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the two sides of a triangle are 32 and 68 . the area is 960 sq . cm . find the third side of triangle ?","answer":60.0,"reasoning":"import math\nn0 = 32.0\nn1 = 68.0\nn2 = 960.0\nt0 = n0 + n1\nt1 = n0 * n1\nt2 = n2**min(2.0, 5)\nt3 = t2 * 4.0\nt4 = t0**min(2.0, 5)\nt5 = t1**min(2.0, 5)\nt6 = t5 - t3\nt7 = math.sqrt(max(0, t6))\nt8 = t1 + t7\nt9 = t8 \/ 2.0\nt10 = t9 * 4.0\nt11 = t4 - t10\nt12 = math.sqrt(max(0, t11))\nt13 = t0 + t12\nt14 = t13 \/ 2.0\nt15 = t14 * 2.0\nanswer = t15 - t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":150.0,"reasoning":"import math\nn0 = 30.0\nn1 = 67.5\nt0 = n1 \/ n0\nt1 = math.sqrt(max(0, t0))\nanswer = t1 * 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":15.0,"reasoning":"n0 = 5.0\nn1 = 1.0\nn2 = 150.0\n\nanswer = n2 \/ 10.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the sides of a triangle are 78 cm , 72 cm and 30 cm , what is its area ?","answer":1080.0,"reasoning":"n0 = 78.0\nn1 = 72.0\nn2 = 30.0\nt0 = n1 * n2\nanswer = t0 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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","answer":12.0,"reasoning":"n0 = 6.0\nn1 = 6.0\nt0 = n0**2\nt1 = t0 * 2.0\nanswer = t1 \/ n0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a small , rectangular park has a perimeter of 560 feet and a diagonal measurement of 300 feet . what is its area , in square feet ?","answer":43200.0,"reasoning":"n0 = 560.0\nn1 = 300.0\nt0 = 2.0 + 3.0\nt1 = n1 \/ t0\nt2 = t1 * 3.0\nt3 = t1 * 4.0\nanswer = t2 * t3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"what is the smallest positive integer x , such that 1152 x is a perfect cube ?","answer":12.0,"reasoning":"import math\nn0 = 1152.0\nt0 = 1.0 \/ 3.0\nt1 = n0**min(t0, 5)\nt2 = t1 + 2.0\nanswer = math.floor(t2)\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if circles x and y have the same area and circle x has a circumference of 10 \u03c0 , half of the radius of circle y is :","answer":2.5,"reasoning":"n0 = 10.0\nt0 = n0 \/ 2.0\nanswer = t0 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":25.1327412287,"reasoning":"import math\nn0 = 2.0\nn1 = 8.0\nt0 = n0 \/ n0\nanswer = math.pi * t0**2 * n1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 .","answer":2.0,"reasoning":"import math\nt0 = 1.0 + 1.0\nt1 = 1.0**min(2.0, 5)\nt2 = 1.0 \/ t0\nt3 = math.sqrt(max(0, t2))\nt4 = t3**min(2.0, 5)\nanswer = t1 \/ t4\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":36.0,"reasoning":"import math\nn0 = 4.0\nn1 = 576.0\nt0 = n1 \/ n0\nt1 = math.sqrt(max(0, t0))\nt2 = t1 * n0\nanswer = t2 - t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"what positive number , when squared , is equal to the cube of the positive square root of 16 ?","answer":8.0,"reasoning":"import math\nn0 = 16.0\nt0 = 1.0 \/ 2.0\nt1 = n0**min(t0, 5)\nt2 = t1**min(3.0, 5)\nanswer = math.sqrt(max(0, t2))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of a triangle is with base 3 m and height 4 m ?","answer":6.0,"reasoning":"n0 = 3.0\nn1 = 4.0\n\nanswer = n0 * n1 \/ 2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 :","answer":24000.0,"reasoning":"n0 = 100.0\nn1 = 50.0\nn2 = 10.0\nt0 = n2 * 2.0\nt1 = n0 - t0\nt2 = n1 - t0\nanswer = n2 * t1 * t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":67.658008609,"reasoning":"import math\nn0 = 12.0\nn1 = 6.0\nt0 = n0 \/ 3.0\nt1 = math.sqrt(max(0, 3.0))\nt2 = t1 \/ 2.0\nt3 = t0**min(2.0, 5)\nt4 = n0 * t2\nt5 = t3 * t1\nt6 = t5 \/ 4.0\nt7 = t4 * 2.0\nt8 = t7 \/ 3.0\nt9 = n0 * t6\nt10 = math.pi * t8**2\nanswer = t10 - t9\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":60.0,"reasoning":"n0 = 10.0\nn1 = 18.0\nn2 = 4.0\nn3 = 12.0\nt0 = n0 * n1\nt1 = n2 * t0\nanswer = t1 \/ n3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 :","answer":75.0,"reasoning":"import math\nn0 = 9.0\nn1 = 18.0\nn2 = 9.0\nt0 = math.pi * n0**2 * n0 \/ 3\nt1 = 4 \/ 3 * math.pi * n0**3\nt2 = t1 - t0\nt3 = t2 \/ t1\nanswer = t3 * 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"a polygon has 44 diagonals , then the number of its sides are","answer":11.0,"reasoning":"import math\nn0 = 44.0\nt0 = n0 * 2.0\nt1 = 3.0**min(2.0, 5)\nt2 = t0 * 4.0\nt3 = t2 + t1\nt4 = math.sqrt(max(0, t3))\nt5 = t4 + 3.0\nanswer = t5 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":50.0,"reasoning":"n0 = 30.0\nn1 = 20.0\nn2 = 80.0\nn3 = 2100.0\nt0 = n0 * n2\nt1 = n0 - n1\nt2 = t0 - n3\nt3 = t2 \/ t1\nanswer = n2 - t3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the height of a triangle is decreased by 5 % and its base increased by 10 % . its area will","answer":4.5,"reasoning":"n0 = 5.0\nn1 = 10.0\nt0 = n1 + 100.0\nt1 = 100.0 - n0\nt2 = t0 * t1\nt3 = t2 \/ 100.0\nanswer = t3 - 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":340.0,"reasoning":"n0 = 10.0\nn1 = 6.5\nn2 = 2210.0\nt0 = n2 \/ n1\nt1 = t0 \/ 2.0\nt2 = t1 - n0\nt3 = t2 \/ 2.0\nt4 = t3 + n0\nt5 = t4 + t3\nanswer = t5 * 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":3.6666666667,"reasoning":"n0 = 2.0\nn1 = 10.0\nn2 = 10.0\nt0 = n0 + n1\nt1 = n0 * t0\nt2 = t1 + n1\nt3 = n2 + t2\nanswer = t3 \/ t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"tough and tricky questions : number properties . what is the smallest positive integer x such that 1512 x is the cube of a positive integer ?","answer":49.0,"reasoning":"n0 = 1512.0\nt0 = n0 \/ 2.0\nt1 = t0 \/ 2.0\nt2 = t1 \/ 2.0\nt3 = t2 \/ 3.0\nt4 = t3 \/ 3.0\nt5 = t4 \/ 3.0\nanswer = t5**min(2.0, 5)\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ) ?","answer":108.0,"reasoning":"n0 = 6.0\nn1 = 6.0\nt0 = n0 * n1  # area of rectangle\nt1 = 2 * (n0 + n1)  # perimetere of rectangle\nt2 = t0 * 2.0\nt3 = t2 \/ t1\nanswer = n0 * n1 * t3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":36.0,"reasoning":"n0 = 4.0\nn1 = 6.0\nn2 = 10.0\nn3 = 16.0\nn4 = 18.0\nn5 = 30.0\nt0 = n3 * n4\nt1 = n0 * n1\nt2 = n5 * t0\nt3 = n2 * t1\nanswer = t2 \/ t3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":35.0,"reasoning":"n0 = 28.0\nn1 = 2.5\n\nanswer = n0 * n1 \/ 2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 :","answer":1200.0,"reasoning":"n0 = 15.0\nn1 = 12.0\nt0 = n0 + n1\nt1 = n0 * n1\nt2 = t1 * 2.0\nt3 = t0 * 2.0\nt4 = t2 \/ t3\nanswer = t4 * t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":16.0,"reasoning":"import math\nn0 = 4.0\nn1 = 1.0\nn2 = 8.0\nt0 = 1 \/ 2.0\nt1 = n0**2\nt2 = n2 * t1\nt3 = t2 \/ t0\nanswer = math.sqrt(max(0, t3))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":9.0,"reasoning":"n0 = 4.0\nn1 = 12.0\nn2 = 3.0\nt0 = n1 \/ n0\nanswer = n2 * t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the diagonals of a rhombus are 22 cm and 30 cm . find its area ?","answer":330.0,"reasoning":"n0 = 22.0\nn1 = 30.0\n\nanswer = n0 * n1 \/ 2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"find the circumference and area of radius 13 cm .","answer":530.9291584567,"reasoning":"import math\nn0 = 13.0\n\nanswer = math.pi * n0**2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of a triangle is with base 4 m and height 8 m ?","answer":16.0,"reasoning":"n0 = 4.0\nn1 = 8.0\n\nanswer = n0 * n1 \/ 2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the volume of a cube is 1000 cc . find its surface .","answer":600.0,"reasoning":"n0 = 1000.0\nt0 = n0**(1 \/ 3)\nanswer = 6 * t0**2  # surface of a cube\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the length of the longest chord of a certain circle is 14 , what is the radius of that certain circle ?","answer":7.0,"reasoning":"n0 = 14.0\n\nanswer = n0 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the radius of a circle that centers at the origin is 5 , how many w points on the circle have integer coordinates ?","answer":12.0,"reasoning":"n0 = 5.0\nt0 = n0 + 4.0\nt1 = n0 * n0\nt2 = 2.0**min(2.0, 5)\nt3 = t1 - t0\nanswer = t3 - t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":56.0,"reasoning":"n0 = 40.0\nn1 = 320.0\nt0 = n1 \/ n0\nt1 = t0 + t0\nanswer = n0 + t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the sum of a number and its square is 306 , what is the number ?","answer":17.0,"reasoning":"import math\nn0 = 306.0\nt0 = math.sqrt(max(0, n0))\nanswer = math.floor(t0)\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":3876.0,"reasoning":"import math\nn0 = 289.0\nn1 = 57.0\nt0 = math.sqrt(max(0, n0))\nt1 = 4 * t0\nanswer = n1 * t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":2734.0,"reasoning":"n0 = 10936.0\nn1 = 4.0\n\nanswer = n0 \/ n1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":11.0,"reasoning":"n0 = 14.0\nn1 = 151.0\nt0 = n0 + 1.0\nt1 = n1 - 1.0\nt2 = t1 \/ t0\nanswer = t2 + 1.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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","answer":5120.0,"reasoning":"n0 = 48.0\nn1 = 36.0\nn2 = 8.0\nn3 = 3.0\nt0 = n2 * 2.0\nt1 = n0 - t0\nt2 = n1 - t0\nanswer = n2 * t1 * t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":30.0,"reasoning":"n0 = 150.0\nn1 = 30.0\nt0 = n0 * 4.0\nt1 = t0 \/ 10.0\nanswer = t1 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the length and breadth of a rectangle is increased by 10 % and 25 % respectively . what is the increase in the area ?. a . 27.5 %","answer":37.5,"reasoning":"n0 = 10.0\nn1 = 25.0\nt0 = n0 + 100.0\nt1 = n1 + 100.0\nt2 = 100.0 * 100.0  # area of rectangle\nt3 = t0 * t1  # area of rectangle\nt4 = t3 - t2\nt5 = t4 * 100.0\nanswer = t5 \/ t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"two cubes each with side b are joined to form a cuboids . what is the surface area of this cuboids ?","answer":10.0,"reasoning":"t0 = 1.0 * 2.0\nt1 = 1.0 * 1.0\nt2 = t0 * 2.0\nt3 = t2 + t1\nanswer = t3 * 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":3672.0,"reasoning":"import math\nn0 = 289.0\nn1 = 54.0\nt0 = math.sqrt(max(0, n0))\nt1 = 4 * t0\nanswer = n1 * t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 )","answer":26.7035375555,"reasoning":"import math\nn0 = 20.0\nn1 = 14.0\nt0 = 2 * (n0 + n1)  # perimetere of rectangle\nt1 = t0 \/ 4. # square edge given perimeter\nt2 = t1 \/ 2.0\nt3 = 2 * math.pi * t2\nanswer = t3 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 \u2264 x \u2264 2 and 4 \u2264 y \u2264 9 , then how many different triangles can be drawn that will meet these conditions ?","answer":4032.0,"reasoning":"n0 = 8.0\nn1 = 2.0\nn2 = 4.0\nn3 = 9.0\nt0 = n0 * n3\nt1 = n0 - 1.0\nt2 = n0 * t1\nanswer = t2 * t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 80 inches . find b .","answer":16.0,"reasoning":"import math\nn0 = 12.0\nn1 = 4.0\nn2 = 80.0\nt0 = n2 \/ n1\nt1 = n0**min(2.0, 5)\nt2 = t0**min(2.0, 5)\nt3 = t2 - t1\nanswer = math.sqrt(max(0, t3))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":4.0,"reasoning":"n0 = 20.0\nn1 = 20.0\nt0 = n0 \/ 100.0\nt1 = t0 + 1.0\nt2 = 1.0 - t0\nt3 = t1 * t2\nt4 = 1.0 - t3\nanswer = t4 * 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of a parallelogram is 72 cm ^ 2 and its altitude is twice the corresponding base . what is the length of the base ?","answer":6.0,"reasoning":"import math\nn0 = 72.0\nn1 = 2.0\nt0 = n0 \/ 2.0\nanswer = math.sqrt(max(0, t0))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the cube root of . 000216 is :","answer":0.06,"reasoning":"n0 = 216.0\nt0 = n0 \/ 1000.0\nt1 = 1.0 \/ 3.0\nt2 = t0 \/ 1000.0\nanswer = t2**min(t1, 5)\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 cabbages did she produce this year ?","answer":8281.0,"reasoning":"n0 = 1.0\nn1 = 181.0\nt0 = 0.25 + 0.25\nt1 = n1 \/ 2.0\nt2 = t0 + t1\nanswer = t2**min(2.0, 5)\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":140.0,"reasoning":"import math\nn0 = 1225.0\nn1 = 10.0\nt0 = 10.0 \/ 2.0\nt1 = math.sqrt(max(0, n0))\nt2 = t1 \/ t0\nt3 = t2 * 2.0\nanswer = n1 * t3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":40.0,"reasoning":"n0 = 5.0\nn1 = 5.0\nn2 = 75.0\nt0 = n0 * n0\nt1 = n2 + t0\nt2 = t1 \/ n0\nanswer = t2 * 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":74.0740740741,"reasoning":"import math\nn0 = 3.0\nn1 = 6.0\nn2 = 20.0\nn3 = 10.0\nt0 = n2 \/ 2.0\nt1 = n0 \/ 2.0\nt2 = math.pi * t0**2 * n3\nt3 = math.pi * t1**2 * n1\nanswer = t2 \/ t3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 height of 10 feet , how far ( in feet ) did the oil level drop in the stationary tank ?","answer":0.064,"reasoning":"import math\nn0 = 100.0\nn1 = 25.0\nn2 = 8.0\nn3 = 10.0\nt0 = math.pi * n0**2\nt1 = math.pi * n2**2 * n3\nanswer = t1 \/ t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the sum of a number and its square is 132 , then what is the number ?","answer":11.0,"reasoning":"import math\nn0 = 132.0\nt0 = math.sqrt(max(0, n0))\nanswer = math.floor(t0)\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":117.6212289504,"reasoning":"import math\nn0 = 15.0\nn1 = 1.2\nt0 = n0 + n1\nt1 = math.pi * n0**2\nt2 = math.pi * t0**2\nanswer = t2 - t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the monthly rent of a shop of dimension 20 feet \u00d7 15 feet is rs . 3600 . what is the annual rent per square foot of the shop ?","answer":144.0,"reasoning":"n0 = 20.0\nn1 = 15.0\nn2 = 3600.0\nt0 = 10.0 + 2.0\nt1 = n0 * n1  # area of rectangle\nt2 = n2 \/ t1\nanswer = t0 * t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":78.75,"reasoning":"n0 = 35.0\nn1 = 4.5\n\nanswer = n0 * n1 \/ 2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":60.0,"reasoning":"n0 = 8.0\nn1 = 15.0\nn2 = 5.0\nn3 = 10.0\nt0 = n0 * n1\nt1 = n2 * t0\nanswer = t1 \/ n3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"right triangle abc is the base of the prism in the figure above . if ab = ac = \u221a 2 and the height of the prism is 3 , what is the volume of the prism ?","answer":3.0,"reasoning":"import math\nn0 = 2.0\nn1 = 3.0\nt0 = math.sqrt(max(0, n0))\nt1 = n1 * t0 * t0\nanswer = t1 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":102.0,"reasoning":"n0 = 23.0\nt0 = 1.0 + 3.0\nt1 = t0 + 1.0\nt2 = t1**min(3.0, 5)\nanswer = t2 - n0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 .","answer":20.0,"reasoning":"n0 = 6.0\nn1 = 16.0\nt0 = n1 - n0\nanswer = t0 * 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":8.0,"reasoning":"n0 = 4.0\nn1 = 16.0\nn2 = 2.0\nt0 = n1 \/ n0\nanswer = n2 * t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 )","answer":25.0,"reasoning":"import math\nn0 = 18.0\nn1 = 14.0\nt0 = n0 + n1\nt1 = t0 * 2.0\nt2 = t1 \/ 4.0\nt3 = t2 \/ 2.0\nt4 = 2 * math.pi * t3\nt5 = t4 \/ 2.0\nanswer = math.floor(t5)\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 humans ?","answer":54967.0,"reasoning":"n0 = 15.0\nn1 = 33.0\nn2 = 30.0\nn3 = 25000.0\nt0 = 3.0 * 4.0\nt1 = n3 - n0\nt2 = n2 - n0\nt3 = n1 * t0\nt4 = t2 \/ t3\nt5 = t1 \/ t4\nanswer = t5 \/ t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":8.0,"reasoning":"n0 = 20.0\nn1 = 148.0\nt0 = n0 + 1.0\nt1 = n1 - 1.0\nt2 = t1 \/ t0\nanswer = t2 + 1.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"in a rectangular coordinate system , what is the area of a triangle whose vertices have the coordinates ( 3 , 0 ) , ( 6 , 3 ) , and ( 6 , - 3 ) ?","answer":9.0,"reasoning":"n0 = 3.0\nn1 = 0.0\nn2 = 6.0\nn3 = 3.0\nn4 = 6.0\nn5 = 3.0\n\nanswer = n0 * n2 \/ 2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the sides of a triangle are 30 cm , 28 cm and 14 cm , what is its area ?","answer":196.0,"reasoning":"n0 = 30.0\nn1 = 28.0\nn2 = 14.0\nt0 = n1 * n2\nanswer = t0 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":125.0,"reasoning":"import math\nn0 = 600.0\nn1 = 24.0\nn2 = 600.0\nt0 = n0 \/ 100.0\nt1 = n0 \/ t0\nt2 = n1 \/ t0\nt3 = math.sqrt(max(0, t1))\nt4 = math.sqrt(max(0, t2))\nt5 = t3 \/ t4\nanswer = t5**3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":4.0,"reasoning":"n0 = 8.0\nt0 = n0 \/ 2.0\nt1 = t0 \/ 2.0\nanswer = t1**min(2.0, 5)\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 .","answer":0.8,"reasoning":"n0 = 5.0\nn1 = 4.0\nt0 = n0 * n1\nt1 = n0 - n1\nt2 = t0 \/ 100.0\nanswer = t1 - t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"can v and can \u0432 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 ?","answer":16.0,"reasoning":"n0 = 4.0\nt0 = 2.0**min(4.0, 5)\nt1 = 2.0**min(2.0, 5)\nt2 = t0 * 2.0\nt3 = t1 * 2.0\nt4 = t2 * 2.0\nt5 = t3 * 4.0\nt6 = t5 \/ 2.0\nt7 = t4 \/ t6\nanswer = n0 * t7\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":55.0,"reasoning":"n0 = 70.0\nt0 = 3600.0 \/ 10.0\nt1 = n0 * 2.0\nt2 = t0 - t1\nanswer = t2 \/ 4.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":3944.0,"reasoning":"import math\nn0 = 289.0\nn1 = 58.0\nt0 = math.sqrt(max(0, n0))\nt1 = 4 * t0\nanswer = n1 * t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":360.0,"reasoning":"import math\nn0 = 1296.0\nn1 = 10.0\nt0 = math.sqrt(max(0, n0))\nanswer = n1 * t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the slant height of a cone is 21 cm and radius of the base is 10 cm , find the curved surface of the cone .","answer":659.7344572539,"reasoning":"n0 = 21.0\nn1 = 10.0\nt0 = n1 * 3.141592653589793\nanswer = n0 * t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"huey ' s hip pizza sells two sizes of square pizzas : a small pizza that measures 9 inches on a side and costs $ 10 , and a large pizza that measures 14 inches on a side and costs $ 20 . if two friends go to huey ' s with $ 30 apiece , how many more square inches of pizza can they buy if they pool their money than if they each purchase pizza alone ?","answer":34.0,"reasoning":"n0 = 9.0\nn1 = 10.0\nn2 = 14.0\nn3 = 20.0\nn4 = 30.0\nt0 = n2**min(2.0, 5)\nt1 = n0**min(2.0, 5)\nt2 = t1 + t0\nt3 = t0 * 3.0\nt4 = t2 + t2\nanswer = t3 - t4\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":1800.0,"reasoning":"n0 = 60.0\nn1 = 20.0\nn2 = 10.0\nt0 = 2.0 * 3.0\nt1 = n2**min(2.0, 5)\nt2 = t0 * t1\nt3 = t2 \/ n1\nanswer = n0 * t3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 .","answer":0.28,"reasoning":"n0 = 9.0\nn1 = 8.0\nt0 = n0 * n1\nt1 = n0 - n1\nt2 = t0 \/ 100.0\nanswer = t1 - t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":9060.0,"reasoning":"n0 = 25.0\nn1 = 15.0\nn2 = 12.0\nn3 = 10.0\nn4 = 6.0\nn5 = 3.0\nn6 = 4.0\nn7 = 3.0\nt0 = n0 + n1\nt1 = n2 * 2.0\nt2 = n4 * n5\nt3 = n5 * n6\nt4 = t0 * t1\nt5 = n5 * t3\nt6 = t4 - t2\nt7 = t6 - t5\nanswer = n3 * t7\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 overlap , what is the area of the entire wall ?","answer":495.0,"reasoning":"n0 = 1.0\nn1 = 3.0\nn2 = 90.0\nt0 = n2 * n1\nt1 = t0 \/ 2.0\nt2 = n1 * t1\nanswer = n2 + t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":256.0,"reasoning":"n0 = 32.0\nn1 = 64.0\n\nanswer = 4 * n1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":12.5,"reasoning":"n0 = 20.0\nn1 = 10.0\nn2 = 32.0\nt0 = n0 * n1  # area of rectangle\nt1 = t0 * 2.0\nanswer = t1 \/ n2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":32.0,"reasoning":"n0 = 4.0\nt0 = 2.0 * 2.0\nt1 = t0 * 2.0\nanswer = n0 * t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if f is the smallest positive integer such that 3,150 multiplied by f is the square of an integer , then f must be","answer":14.0,"reasoning":"n0 = 3150.0\n\nanswer = 10.0 + 4.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the surface of a cube is 150 sq cm . find its volume ?","answer":125.0,"reasoning":"import math\nn0 = 150.0\nt0 = 2.0 + 4.0\nt1 = n0 \/ t0\nt2 = math.sqrt(max(0, t1))\nanswer = t2**3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 .","answer":0.5625,"reasoning":"n0 = 3.0\nn1 = 5.0\nt0 = n0**min(2.0, 5)\nt1 = n1**min(2.0, 5)\nt2 = t1 - t0\nanswer = t0 \/ t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":6.0008333333,"reasoning":"n0 = 7201.0\nn1 = 1.2\nt0 = n1 * 1000.0\nanswer = n0 \/ t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 % ?","answer":14.0,"reasoning":"n0 = 20.0\nn1 = 5.0\nt0 = n0 + 100.0\nt1 = 100.0 * 100.0\nt2 = 100.0 - n1\nt3 = t0 * t2\nt4 = t3 - t1\nt5 = t4 \/ t1\nanswer = t5 * 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 foil covered prism ?","answer":10.0,"reasoning":"n0 = 1.0\nn1 = 128.0\nn2 = 128.0\nt0 = 1 \/ 3.0\nt1 = n0 * 2.0\nt2 = n0 * t1\nt3 = n1 \/ t2\nt4 = t3**min(t0, 5)\nt5 = t1 * t4\nanswer = t5 + t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":2088.0,"reasoning":"import math\nn0 = 81.0\nn1 = 58.0\nt0 = math.sqrt(max(0, n0))\nt1 = 4 * t0\nanswer = n1 * t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"what is the area of square field whose side of length 15 m ?","answer":225.0,"reasoning":"n0 = 15.0\n\nanswer = n0**2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"108 . triangle a \u2019 s base is 20 % greater than the base of triangle b , and a \u2019 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 ?","answer":0.25,"reasoning":"n0 = 108.0\nn1 = 20.0\nn2 = 20.0\nt0 = n1 + 100.0\nt1 = 100.0 * 100.0\nt2 = 100.0 - n1\nt3 = t0 * t2\nt4 = t1 - t3\nanswer = 100.0 \/ t4\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of a parallelogram is 72 sq m and its base is 12 m . then the length of the height is ?","answer":6.0,"reasoning":"import math\nn0 = 72.0\nn1 = 12.0\nt0 = n0 \/ 2.0\nanswer = math.sqrt(max(0, t0))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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","answer":10800.0,"reasoning":"n0 = 40.0\nn1 = 1.0\nn2 = 20.0\nn3 = 30.0\nt0 = 6 * n3**2  # surface of a cube\nt1 = t0 \/ n2\nanswer = n0 * t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 .","answer":1.0033333333,"reasoning":"n0 = 40.0\nt0 = n0 \/ 12.0\nt1 = t0 - 0.33\nanswer = t1 - 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the length of rectangle is thrice its breadth and its perimeter is 96 m , find the area of the rectangle ?","answer":432.0,"reasoning":"n0 = 96.0\nt0 = 2.0 * 3.0\nt1 = 1.0 * 2.0\nt2 = t0 + t1\nt3 = n0 \/ t2\nt4 = t3 * 3.0\nanswer = t3 * t4\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":74.0,"reasoning":"n0 = 40.0\nn1 = 680.0\nt0 = n1 \/ n0\nt1 = t0 * 2.0\nanswer = n0 + t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the sides of a triangle are 32 cm , 27 cm and 12 cm , what is its area ?","answer":162.0,"reasoning":"n0 = 32.0\nn1 = 27.0\nn2 = 12.0\nt0 = n1 * n2\nanswer = t0 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":42.0,"reasoning":"n0 = 7.0\nn1 = 18.0\nn2 = 3.0\nn3 = 9.0\nt0 = n0 * n1\nt1 = n2 * t0\nanswer = t1 \/ n3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 :","answer":4480.0,"reasoning":"n0 = 48.0\nn1 = 36.0\nn2 = 4.0\nn3 = 3.0\nt0 = n2 * 2.0\nt1 = n0 - t0\nt2 = n1 - t0\nanswer = n2 * t1 * t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"if the volume and surface area of a sphere are numerically the same , then its radius is : ?","answer":3.0,"reasoning":"t0 = 4.0 \/ 3.0\nt1 = 4.0 * 3.141592653589793\nt2 = t0 * 3.141592653589793\nt3 = t2 \/ t1\nanswer = 1.0 \/ t3\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the length of a rectangle is reduced by 15 % . by what % would the width have to be increased to maintain the original area ?","answer":17.6470588235,"reasoning":"n0 = 15.0\nt0 = 100.0 - n0\nt1 = t0 \/ 100.0\nt2 = 1.0 - t1\nt3 = t2 \/ t1\nanswer = t3 * 100.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":16.0,"reasoning":"n0 = 90.0\nn1 = 4.0\nn2 = 4.0\nt0 = 3.0 + 4.0\nt1 = 2.0 + 3.0\nt2 = t0 + t1\nanswer = n1 + t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":93.0,"reasoning":"n0 = 3.1\nn1 = 20.0\nn2 = 10.0\nt0 = n0 \/ n1\nt1 = 6 * n2**2  # surface of a cube\nanswer = t0 * t1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ) ?","answer":47.1238898038,"reasoning":"import math\nn0 = 40.0\nn1 = 20.0\nt0 = 2 * (n0 + n1)  # perimetere of rectangle\nt1 = t0 \/ 4. # square edge given perimeter\nt2 = t1 \/ 2.0\nt3 = 2 * math.pi * t2\nanswer = t3 \/ 2.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":80.0,"reasoning":"n0 = 7.0\nn1 = 5.0\nn2 = 384.0\nt0 = n0 \/ n1\nt1 = t0 + t0\nt2 = t1 + 2.0\nanswer = n2 \/ t2\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"find the area of a parallelogram with base 21 cm and height 11 cm ?","answer":231.0,"reasoning":"n0 = 21.0\nn1 = 11.0\n\nanswer = n0 * n1\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of a parallelogram is 200 sq m and its altitude is twice the corresponding base . then the length of the base is ?","answer":10.0,"reasoning":"import math\nn0 = 200.0\nt0 = n0 \/ 2.0\nanswer = math.sqrt(max(0, t0))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"the area of a square is 144 m \u00b2 . find its perimeter .","answer":48.0,"reasoning":"import math\nn0 = 144.0\nt0 = math.sqrt(max(0, n0))\nanswer = 4 * t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":3.5,"reasoning":"n0 = 2.0\nn1 = 10.0\nn2 = 8.0\nt0 = n0 + n1\nt1 = n0 * t0\nt2 = t1 + n1\nt3 = n2 + t2\nanswer = t3 \/ t0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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","answer":4.0,"reasoning":"n0 = 90.0\nn1 = 5.0\nn2 = 8.0\nt0 = n1 * n2\nanswer = t0 \/ 10.0\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 ?","answer":60.0,"reasoning":"import math\nn0 = 2400.0\nt0 = 2.0 \/ 3.0\nt1 = n0 \/ t0\nanswer = math.sqrt(max(0, t1))\nprint(answer)","source":"MathQA_Geometry"}
{"category":"Geometry","subcategory":"geometry","question":"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 \u2019 s area to rectangle b \u2019 s area ?","answer":0.36,"reasoning":"n0 = 3.0\nn1 = 5.0\nt0 = n0**min(2.0, 5)\nt1 = n1**min(2.0, 5)\nanswer = t0 \/ t1\nprint(answer)","source":"MathQA_Geometry"}