allenai/lila · Datasets at Hugging Face

input stringlengths 5 9.74k	output_program stringlengths 15 908	output_answer stringlengths 1 1.34k	split stringclasses 2 values	dataset stringclasses 10 values
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 ?	n0 = 60.0 n1 = 45.0 t0 = n0 / 3.0 t1 = n1 - t0 answer = t1 - t0 print(answer)	5	train	mathqa_geometry.json
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 .	import math n0 = 12.0 n1 = 4.0 n2 = 80.0 t0 = n2 / n1 t1 = n0min(2.0, 5) t2 = t0min(2.0, 5) t3 = t2 - t1 answer = math.sqrt(max(0, t3)) print(answer)	16	train	mathqa_geometry.json
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 ?	import math n0 = 6.0 n1 = 8.0 t0 = n0min(2.0, 5) t1 = n1min(2.0, 5) t2 = t0 + t1 answer = math.sqrt(max(0, t2)) print(answer)	10	train	mathqa_geometry.json
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 :	import math n0 = 14.0 t0 = n0 / 2.0 t1 = n0*2 t2 = math.pi t0**2 answer = t1 - t2 print(answer)	42.06195997410015	train	mathqa_geometry.json
george ' s car calls for 8 ounces of oil for each cylinder used . his car ' s engine has 6 cylinders . if 16 ounces of oil has already been put into the engine used , then how many additional ounces of oil are needed ?	n0 = 8.0 n1 = 6.0 n2 = 16.0 t0 = n0 * n1 answer = t0 - n2 print(answer)	32	train	mathqa_geometry.json
what is the area of square field whose side of length 13 m ?	n0 = 13.0 answer = n0**2 print(answer)	169	train	mathqa_geometry.json
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 ?	import math n0 = 219.0 n1 = 3.0 n2 = 3.0 t0 = n0 / 2.0 t1 = math.sqrt(max(0, t0)) answer = t1 * 2.0 print(answer)	20.92844953645635	train	mathqa_geometry.json
eight cubes , each with a volume of 512 cm ^ 3 , are joined to form one large cube . what is the surface area of the large cube ?	n0 = 512.0 n1 = 3.0 t0 = 2.0 * 4.0 t1 = n0 * t0 t2 = t1*(1 / 3) answer = 6 t2**2 # surface of a cube print(answer)	1535.9999999999995	train	mathqa_geometry.json
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 ?	n0 = 5.0 n1 = 5.0 n2 = 75.0 t0 = n0 * n0 t1 = n0 * 2.0 t2 = n2 + t0 t3 = t1 - n0 t4 = t2 / t3 answer = t4 * 2.0 print(answer)	40	train	mathqa_geometry.json
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 ?	n0 = 12.0 n1 = 20.0 n2 = 15.0 t0 = n1 * n2 t1 = n0**3 answer = t1 / t0 print(answer)	5.76	train	mathqa_geometry.json
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 ?	n0 = 24.0 n1 = 64.0 n2 = 8.0 n3 = 8.0 n4 = 24.0 answer = n0 * n0 print(answer)	576	train	mathqa_geometry.json
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 ?	n0 = 80.0 n1 = 40.0 n2 = 10.0 n3 = 3.0 t0 = n0 + n1 t1 = t0 - n2 t2 = n2 * t1 answer = n3 * t2 print(answer)	3300	train	mathqa_geometry.json
can c and can в 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 ?	n0 = 4.0 t0 = n0 * 2.0 answer = t0 * 2.0 print(answer)	16	train	mathqa_geometry.json
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 ?	n0 = 8.0 t0 = 2.0 * 4.0 answer = n0 * t0 print(answer)	64	train	mathqa_geometry.json
the area of a rhombus is equal to the area of a square whose side length is 8 cm . if one of the diagonals is 16 cm what is the length of other diagonal ?	n0 = 8.0 n1 = 16.0 t0 = n0*2 t1 = t0 2.0 answer = t1 / n1 print(answer)	8	train	mathqa_geometry.json
cuboid volume and base area are 144 m ^ 3 and 18 m ^ 3 respectively . find the height of a cuboid ?	n0 = 144.0 n1 = 3.0 n2 = 18.0 n3 = 3.0 answer = n0 / n2 print(answer)	8	train	mathqa_geometry.json
a cubical block of metal weighs 4 pounds . how much will another cube of the same metal weigh if its sides are twice as long ?	n0 = 4.0 t0 = 2.0 * 4.0 answer = n0 * t0 print(answer)	32	train	mathqa_geometry.json
if the length of the sides of two cubes are in the ratio 4 : 1 , what is the ratio of their total surface area ?	n0 = 4.0 n1 = 1.0 answer = n0 * n0 print(answer)	16	train	mathqa_geometry.json
a rectangular grass field is 85 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 ?	n0 = 85.0 n1 = 55.0 n2 = 2.5 n3 = 2.0 t0 = n2 * n3 t1 = n0 * n1 # area of rectangle t2 = n0 + t0 t3 = n1 + t0 t4 = t2 * t3 # area of rectangle t5 = t4 - t1 answer = n3 * t5 print(answer)	1450	train	mathqa_geometry.json
the diagonal of a rhombus are 25 m and 50 m . its area is :	n0 = 25.0 n1 = 50.0 answer = n0 * n1 / 2 print(answer)	625	train	mathqa_geometry.json
the diameter of a cylindrical tin is 14 cm and height is 5 cm . find the volume of the cylinder ?	import math n0 = 14.0 n1 = 5.0 t0 = n0 / 2.0 t1 = math.pi * t0*2 n1 answer = t1 / 3.141592653589793 print(answer)	245	train	mathqa_geometry.json
the water level in a rectangular swimming pool measuring 40 feet by 25 feet is to be lowered by 6 inches . how many gallons of water must be removed ? ( 1 cu ft = 7.5 gallons )	n0 = 40.0 n1 = 25.0 n2 = 6.0 n3 = 1.0 n4 = 7.5 t0 = 10.0 + 2.0 t1 = n2 / t0 t2 = n0 * n1 * t1 answer = n4 * t2 print(answer)	3750	train	mathqa_geometry.json
the volume of a cube is 1728 cc . find its surface .	n0 = 1728.0 t0 = n0*(1 / 3) answer = 6 t0**2 # surface of a cube print(answer)	863.9999999999997	train	mathqa_geometry.json
the length of rectangle is thrice its breadth and its perimeter is 40 m , find the area of the rectangle ?	n0 = 40.0 t0 = 2.0 * 3.0 t1 = 1.0 * 2.0 t2 = t0 + t1 t3 = n0 / t2 t4 = t3 * 3.0 answer = t3 * t4 print(answer)	75	train	mathqa_geometry.json
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 ?	import math n0 = 25.0 n1 = 4.0 t0 = n1 / 2.0 t1 = n0 / 100.0 t2 = t0 + t1 t3 = math.pi * t0*2 t4 = math.pi t2**2 answer = t4 - t3 print(answer)	3.3379421944391545	train	mathqa_geometry.json
a circular swimming pool is surrounded by a concrete wall 4 ft wide . if the area of the concrete wall surrounding the pool is 11 / 25 that of the pool , then the radius of the pool is ?	import math n0 = 4.0 n1 = 11.0 n2 = 25.0 t0 = n1 / n2 t1 = n0 * 2.0 t2 = n0*min(2.0, 5) t3 = t0 n0 t4 = t1*min(2.0, 5) t5 = t3 t2 t6 = t5 + t4 t7 = math.sqrt(max(0, t6)) t8 = t1 + t7 t9 = t8 / t0 answer = t9 / 2.0 print(answer)	20	train	mathqa_geometry.json
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 ?	import math n0 = 12.0 n1 = 16.0 n2 = 18.0 t0 = n1 / 2.0 t1 = n0 * 3.141592653589793 t2 = math.pi * t0*2 n0 t3 = t2 / t1 answer = math.sqrt(max(0, t3)) print(answer)	8	train	mathqa_geometry.json
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 ?	n0 = 10.0 n1 = 6.5 n2 = 910.0 t0 = n2 / n1 t1 = t0 / 2.0 t2 = t1 - n0 t3 = t2 / 2.0 t4 = t3 + n0 t5 = t4 + t3 answer = t5 * 2.0 print(answer)	140	train	mathqa_geometry.json
what will be the ratio between the area of a rectangle and the area of a triangle with one of the sides of rectangle as base and a vertex on the opposite side of rectangle .	t0 = 1.0 * 1.0 # area of rectangle t1 = t0 * t0 / 2 answer = t0 / t1 print(answer)	2	train	mathqa_geometry.json
a man walking at the rate of 6 km per hour crosses a square field diagonally in 9 seconds the area of the field is	n0 = 6.0 n1 = 9.0 t0 = n0 * 1000.0 t1 = 10.0 * 360.0 t2 = t0 / t1 t3 = n1 * t2 t4 = t3**min(2.0, 5) answer = t4 / 2.0 print(answer)	112.5	train	mathqa_geometry.json
the area of a triangle is with base 4 m and height 5 m ?	n0 = 4.0 n1 = 5.0 answer = n0 * n1 / 2 print(answer)	10	train	mathqa_geometry.json
the side of a square is increased by 25 % then how much % does its area increases ?	n0 = 25.0 t0 = n0 + 100.0 t1 = 100.02 t2 = t02 t3 = t2 - t1 t4 = t3 * 100.0 answer = t4 / t1 print(answer)	56.25	train	mathqa_geometry.json
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 :	n0 = 15.0 n1 = 12.0 t0 = n0 + n1 t1 = n0 * n1 t2 = t1 * 2.0 t3 = t0 * 2.0 t4 = t2 / t3 answer = t4 * t1 print(answer)	1200	train	mathqa_geometry.json
abcd is a square . f and e are the midpoints of sides ad and cd , respectively . the area of triangle fed is 2 square inches . what is the area of square abcd ( in square inches ) ?	n0 = 2.0 t0 = n0 * 2.0 answer = t0 * 4.0 print(answer)	16	train	mathqa_geometry.json
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 ?	import math n0 = 972.0 t0 = n0 / 3.0 answer = math.sqrt(max(0, t0)) print(answer)	18	train	mathqa_geometry.json
if the radius of a circle is increased by 12 % , then the area of the circle	n0 = 12.0 t0 = n0 / 100.0 t1 = t0 + 1.0 t2 = t1*min(2.0, 5) t3 = t2 - 1.0 answer = t3 100.0 print(answer)	25.44000000000002	train	mathqa_geometry.json
in a rectangular coordinate system , what is the area of a rhombus whose vertices have the coordinates ( 0 , 3.5 ) , ( 7 , 0 ) , ( 0 , - 3.5 ) , ( - 7 , 0 ) ?	n0 = 0.0 n1 = 3.5 n2 = 7.0 n3 = 0.0 n4 = 0.0 n5 = 3.5 n6 = 7.0 n7 = 0.0 t0 = n2 * 2.0 t1 = n1 * 2.0 answer = t0 * t1 / 2 print(answer)	49	train	mathqa_geometry.json
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	import math n0 = 6.0 t0 = n0 / 2.0 t1 = 4.0 * 3.141592653589793 t2 = n0 * t0 t3 = t2 * 3.141592653589793 t4 = t3 * 2.0 t5 = t4 / t1 answer = math.sqrt(max(0, t5)) print(answer)	3	train	mathqa_geometry.json
the area of a triangle is with base 8 m and height 4 m ?	n0 = 8.0 n1 = 4.0 answer = n0 * n1 / 2 print(answer)	16	train	mathqa_geometry.json
a rectangular garden is to be twice as long as it is wide . if 900 yards of fencing , including the gate , will completely enclose the garden , what will be the length of the garden , in yards ?	n0 = 900.0 t0 = 1.0 + 2.0 t1 = t0 * 2.0 t2 = n0 / t1 answer = t2 * 2.0 print(answer)	300	train	mathqa_geometry.json
if each edge of a cube is doubled , then its volume :	answer = 2.0**min(3.0, 5) print(answer)	8	train	mathqa_geometry.json
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 ?	n0 = 2.0 n1 = 10.0 n2 = 4.0 t0 = n0 + n1 t1 = n0 * t0 t2 = t1 + 10.0 t3 = n2 + t2 answer = t3 / t0 print(answer)	3.1666666666666665	train	mathqa_geometry.json
if the space diagonal of cube c is 5 inches long , what is the length , in inches , of the diagonal of the base of cube c ?	n0 = 5.0 answer = n0 * 1.0 print(answer)	5	train	mathqa_geometry.json
if the height of a cone is increased by 190 % then its volume is increased by ?	n0 = 190.0 answer = n0 * 1.0 # area of rectangle print(answer)	190	train	mathqa_geometry.json
the parameter of a square is equal to the perimeter of a rectangle of length 16 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 )	import math n0 = 16.0 n1 = 14.0 t0 = 2 * (n0 + n1) # perimetere of rectangle t1 = t0 / 4. # square edge given perimeter t2 = t1 / 2.0 t3 = 2 * math.pi * t2 answer = t3 / 2.0 print(answer)	23.561944901923447	train	mathqa_geometry.json
you buy a piece of land with an area of â ˆ š 625 , how long is one side of the land plot ?	import math n0 = 625.0 answer = math.sqrt(max(0, n0)) print(answer)	25	train	mathqa_geometry.json
a rectangular box 60 m long and 40 m wide has two concrete crossroads running in the middle of the box and rest of the box has been used as a lawn . the area of the lawn is 2109 sq . m . what is the width of the road ?	import math n0 = 60.0 n1 = 40.0 n2 = 2109.0 t0 = n0 * n1 t1 = 100.0*min(2.0, 5) t2 = t0 - n2 t3 = t2 4.0 t4 = t1 - t3 t5 = math.sqrt(max(0, t4)) t6 = 100.0 - t5 answer = t6 / 2.0 print(answer)	3	train	mathqa_geometry.json
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 ?	n0 = 0.0 n1 = 0.0 n2 = 4.0 n3 = 0.0 n4 = 4.0 n5 = 10.0 n6 = 0.0 t0 = n0 + 10.0 answer = 4.0 / t0 print(answer)	0.4	train	mathqa_geometry.json
right triangle pqr is the base of the prism in the figure above . if pq = pr = â ˆ š 14 and the height of the prism is 8 , what is the volume of the prism ?	import math n0 = 14.0 n1 = 8.0 t0 = math.sqrt(max(0, n0)) t1 = t0 * t0 / 2 answer = n1 * t1 print(answer)	56	train	mathqa_geometry.json
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 ?	n0 = 224.0 n1 = 80.0 n2 = 175.0 n3 = 24.0 t0 = n1 / 100.0 t1 = n0 - n3 t2 = n2 * t0 t3 = t1 - t2 answer = t3 / 2.0 print(answer)	30	train	mathqa_geometry.json
tough and tricky questions : number properties . what is the smallest positive integer x such that 1512 x is the cube of a positive integer ?	n0 = 1512.0 t0 = n0 / 2.0 t1 = t0 / 2.0 t2 = t1 / 2.0 t3 = t2 / 3.0 t4 = t3 / 3.0 t5 = t4 / 3.0 answer = t5**min(2.0, 5) print(answer)	49	train	mathqa_geometry.json
find the area of a parallelogram with base 24 cm and height 16 cm .	n0 = 24.0 n1 = 16.0 answer = n0 * n1 print(answer)	384	train	mathqa_geometry.json
the diagonal of a rectangle is 41 cm and its area is 20 sq . cm . the perimeter of the rectangle must be :	import math n0 = 41.0 n1 = 20.0 t0 = n1 * 2.0 t1 = n0 + t0 t2 = math.sqrt(max(0, t1)) answer = t2 * 2.0 print(answer)	18	train	mathqa_geometry.json
the diagonals of a rhombus are 11 cm and 20 cm . find its area ?	n0 = 11.0 n1 = 20.0 answer = n0 * n1 / 2 print(answer)	110	train	mathqa_geometry.json
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 :	n0 = 48.0 n1 = 36.0 n2 = 5.0 n3 = 3.0 t0 = n2 * 2.0 t1 = n0 - t0 t2 = n1 - t0 answer = n2 * t1 * t2 print(answer)	4940	train	mathqa_geometry.json
a rectangular lawn of dimensions 80 m * 60 m has two roads each 15 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 ?	n0 = 80.0 n1 = 60.0 n2 = 15.0 n3 = 3.0 t0 = n0 + n1 t1 = t0 - n2 t2 = n2 * t1 answer = n3 * t2 print(answer)	5625	train	mathqa_geometry.json
what is the area of square field whose side of length 8 m ?	n0 = 8.0 answer = n0**2 print(answer)	64	train	mathqa_geometry.json
each of the 39 points is placed either inside or on the surface of a perfect sphere . if 72 % or fewer of the points touch the surface , what is the maximum number of segments which , if connected from those points to form chords , could be the diameter of the sphere ?	n0 = 39.0 n1 = 72.0 t0 = n1 / 100.0 t1 = n0 * t0 answer = t1 / 2.0 print(answer)	14.04	train	mathqa_geometry.json
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 ?	n0 = 24.0 n1 = 42.0 t0 = n0*2 t1 = t0 2.0 answer = t1 / n1 print(answer)	27.428571428571427	train	mathqa_geometry.json
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 ?	n0 = 10.0 t0 = 3600.0 / 10.0 t1 = n0 * 2.0 t2 = t0 - t1 answer = t2 / 4.0 print(answer)	85	train	mathqa_geometry.json
what is the area of square field whose side of length 7 m ?	n0 = 7.0 answer = n0**2 print(answer)	49	train	mathqa_geometry.json
16 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 ?	n0 = 16.0 answer = n0 / 4.0 print(answer)	4	train	mathqa_geometry.json
if each side of a rectangle is increased by 100 % , by what % the area increases ?	n0 = 100.0 t0 = n0 / 100.0 t1 = t0 * 2.0 t2 = t1*min(2.0, 5) t3 = t2 - 1.0 answer = t3 100.0 print(answer)	300	train	mathqa_geometry.json
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 ?	n0 = 4.0 n1 = 3.0 t0 = n0 + n1 t1 = n0 * n1 t2 = n1 * t0 t3 = t2 - t1 t4 = t0 + t3 t5 = t4 + t3 answer = t5 * 2.0 print(answer)	50	train	mathqa_geometry.json
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 ?	import math n0 = 169.0 n1 = 2.0 n2 = 2.0 t0 = math.sqrt(max(0, n0)) t1 = t0 - 2.0 answer = t0 * t1 print(answer)	143	train	mathqa_geometry.json
the edge of a cube is 5 a cm . find its surface ?	n0 = 5.0 answer = 6 * n0**2 # surface of a cube print(answer)	150	train	mathqa_geometry.json
a ring x of diameter 16 inches is placed inside another ring y of diameter of 18 inches . how much fraction of the ring x surface is not covered by the ring y ?	import math n0 = 16.0 n1 = 18.0 t0 = n1 / 2.0 t1 = n0 / 2.0 t2 = math.pi * t0*2 t3 = math.pi t1**2 t4 = t2 - t3 answer = t4 / t2 print(answer)	0.2098765432098765	train	mathqa_geometry.json
the area of a triangle is with base 4.5 m and height 6 m ?	n0 = 4.5 n1 = 6.0 answer = n0 * n1 / 2 print(answer)	13.5	train	mathqa_geometry.json
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 . 24 small cubes are found with no paints on them . how many of unit cubes have at least one face that is painted red ?	n0 = 24.0 t0 = 1.0 + 3.0 t1 = t0 + 1.0 t2 = t1**min(3.0, 5) answer = t2 - n0 print(answer)	101	train	mathqa_geometry.json
if the sum of a number and its square is 240 , what is the number ?	import math n0 = 240.0 t0 = math.sqrt(max(0, n0)) answer = math.floor(t0) print(answer)	15	train	mathqa_geometry.json
the diagonals of a rhombus are 30 cm and 12 cm . find its area ?	n0 = 30.0 n1 = 12.0 answer = n0 * n1 / 2 print(answer)	180	train	mathqa_geometry.json
two equilateral triangle of side 12 cm are placed one on top another , such a 6 pionted star is formed if the six vertices lie on a circle what is the area of the circle not enclosed by the star ?	n0 = 6.0 n1 = 5.0 n2 = 2.0 n3 = 19.0 t0 = n0 * n1 t1 = n2 * t0 t2 = t1 / n2 answer = t2 + 3.0 print(answer)	33	train	mathqa_geometry.json
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 ?	n0 = 60.0 n1 = 10.0 n2 = 20.0 t0 = n0 / n1 t1 = n1 * n1 t2 = t0 * t1 t3 = t2 / n2 answer = n0 * t3 print(answer)	1800	train	mathqa_geometry.json
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 ’ s area to rectangle b ’ s area ?	n0 = 2.0 n1 = 5.0 t0 = n0min(2.0, 5) t1 = n1min(2.0, 5) answer = t0 / t1 print(answer)	0.16	train	mathqa_geometry.json
find the curved surface area , if the radius of a cone is 28 m and slant height is 30 m ?	n0 = 28.0 n1 = 30.0 t0 = n0 * n1 answer = t0 * 3.141592653589793 print(answer)	2638.9378290154264	train	mathqa_geometry.json
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 ?	n0 = 220.0 n1 = 80.0 n2 = 175.0 n3 = 24.0 t0 = n1 / 100.0 t1 = n0 - n3 t2 = n2 * t0 t3 = t1 - t2 answer = t3 / 2.0 print(answer)	28	train	mathqa_geometry.json
an isosceles triangle with sides 13 13 10 and there is a circle inscribed it . find the radius of circle ?	import math n0 = 13.0 n1 = 13.0 n2 = 10.0 t0 = (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 t1 = n0 + n0 + n2 # perimeter of a triangle t2 = t0 * 2.0 answer = t2 / t1 print(answer)	3.3333333333333335	train	mathqa_geometry.json
the diagonals of a rhombus are 10 cm and 15 cm . find its area ?	n0 = 10.0 n1 = 15.0 answer = n0 * n1 / 2 print(answer)	75	train	mathqa_geometry.json
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 ?	n0 = 3.0 n1 = 12.0 n2 = 10.0 t0 = n0 * 2.0 t1 = n1 - t0 t2 = n2 - t0 answer = t1 * t2 # area of rectangle print(answer)	24	train	mathqa_geometry.json
the area of a square field is 576 km 2 . how long will it take for a horse to run around at the speed of 12 km / h ?	import math n0 = 576.0 n1 = 2.0 n2 = 12.0 t0 = math.sqrt(max(0, n0)) t1 = t0 * 4.0 answer = t1 / n2 print(answer)	8	train	mathqa_geometry.json
find the area of a rhombus whose side is 25 cm and one of the diagonals is 30 cm ?	n0 = 25.0 n1 = 30.0 t0 = 10.0 * 2.0 t1 = t0 * 2.0 answer = n1 * t1 / 2 print(answer)	600	train	mathqa_geometry.json
in a parallelogram , the length of one diagonal and the perpendicular dropped on that diagonal are 30 and 20 metres respectively . find its area	n0 = 30.0 n1 = 20.0 answer = n0 * n1 print(answer)	600	train	mathqa_geometry.json
find the area of the quadrilateral of one of its diagonals is 24 cm and its off sets 9 cm and 6 cm ?	n0 = 24.0 n1 = 9.0 n2 = 6.0 t0 = n1 + n2 t1 = 1.0 / 2.0 t2 = t0 * t1 answer = n0 * t2 print(answer)	180	train	mathqa_geometry.json
what is the measure of the angle e made by the diagonals of the any adjacent sides of a cube .	answer = 180.0 / 3.0 print(answer)	60	train	mathqa_geometry.json
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 ?	n0 = 2.0 n1 = 4.0 n2 = 94.0 t0 = n1 * 2.0 t1 = n0 * 2.0 t2 = t0min(2.0, 5) t3 = t1min(2.0, 5) t4 = t2 - t3 t5 = n2 - t4 answer = t5 / 2.0 print(answer)	23	train	mathqa_geometry.json
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 .	import math n0 = 300.0 n1 = 70.0 t0 = n1 / 2.0 t1 = n0 * 4.0 t2 = t0 * t0 t3 = t2 - t1 t4 = math.sqrt(max(0, t3)) t5 = t0 - t4 answer = t5 / 2.0 print(answer)	15	train	mathqa_geometry.json
in a rectangular coordinate system , what is the area of a rectangle whose vertices have the coordinates ( - 7 , 1 ) , ( 1 , 1 ) , ( 1 , - 6 ) and ( - 7 , - 6 ) ?	n0 = 7.0 n1 = 1.0 n2 = 1.0 n3 = 1.0 n4 = 1.0 n5 = 6.0 n6 = 7.0 n7 = 6.0 t0 = n0 + n1 t1 = n1 + n5 answer = t0 * t1 print(answer)	56	train	mathqa_geometry.json
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 ?	n0 = 1.0 n1 = 223.0 t0 = n1 - n0 t1 = t0 / 2.0 t2 = t1**min(2.0, 5) answer = n1 + t2 print(answer)	12544	train	mathqa_geometry.json
if ( 20 ) ² is subtracted from the square of a number , the answer so obtained is 4321 . what is the number ?	import math n0 = 20.0 n1 = 4321.0 t0 = 10.0 * 2.0 t1 = t0**min(2.0, 5) t2 = n1 + t1 answer = math.sqrt(max(0, t2)) print(answer)	68.70953354520753	train	mathqa_geometry.json
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 ?	import math n0 = 3.0 n1 = 6.0 n2 = 20.0 n3 = 10.0 t0 = n2 / 2.0 t1 = n0 / 2.0 t2 = math.pi * t0*2 n3 t3 = math.pi * t1*2 n1 answer = t2 / t3 print(answer)	74.07407407407408	train	mathqa_geometry.json
a semicircle has a radius of 9 . what is the approximate perimeter of the semicircle ?	import math n0 = 9.0 t0 = 2 * math.pi * n0 t1 = n0 * 2.0 t2 = t0 / 2.0 answer = t2 + t1 print(answer)	46.27433388230814	train	mathqa_geometry.json
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 ?	n0 = 4.0 n1 = 5.0 t0 = n0 * n1 answer = n1 * t0 # area of rectangle print(answer)	100	train	mathqa_geometry.json
in a rectangular coordinate system , what is the area of a rectangle whose vertices have the coordinates ( - 5 , 1 ) , ( 1 , 1 ) , ( 1 , - 4 ) and ( - 5 , - 4 ) ?	n0 = 5.0 n1 = 1.0 n2 = 1.0 n3 = 1.0 n4 = 1.0 n5 = 4.0 n6 = 5.0 n7 = 4.0 t0 = n0 + n1 t1 = n1 + n5 answer = t0 * t1 print(answer)	30	train	mathqa_geometry.json
what is the perimeter , in meters , of a rectangular garden 8 meters wide that has the same area as a rectangular playground 16 meters long and 12 meters wide ?	n0 = 8.0 n1 = 16.0 n2 = 12.0 t0 = n1 * n2 # area of rectangle t1 = t0 / n0 answer = 2 * (n0 + t1) # perimetere of rectangle print(answer)	64	train	mathqa_geometry.json
let the sides of a rectangular prism are consecutive multiples of 5 . which among the following could be the base area	n0 = 5.0 t0 = n0 * 3.0 t1 = t0 * 2.0 answer = t1 * t0 print(answer)	450	train	mathqa_geometry.json
a rectangular tiled patio is composed of 30 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 30 tiles , and it will still be rectangular . how many rows are in the tile patio before the change in layout ?	import math n0 = 30.0 n1 = 2.0 n2 = 4.0 n3 = 30.0 t0 = n0 * n1 t1 = -n2 t2 = n2*min(n1, 5) t3 = n2 t0 t4 = t3 + t2 t5 = math.sqrt(max(0, t4)) t6 = t1 + t5 t7 = t6 / n1 answer = n0 / t7 print(answer)	5	train	mathqa_geometry.json
the dimensions of a rectangular solid are 6 inches , 5 inches , and 8 inches . if a cube , a side of which is equal to one of the dimensions of the rectangular solid , is placed entirely within thespherejust large enough to hold the cube , what the ratio of the volume of the cube to the volume within thespherethat is not occupied by the cube ?	n0 = 1.0 n1 = 2.0 n2 = 2.0 n3 = 1.0 n4 = 10.0 n5 = 35.0 n6 = 4.0 n7 = 3.0 n8 = 5.0 n9 = 3.0 t0 = n4 + n8 t1 = n4 * n6 t2 = t1 / n1 answer = t0 + t2 print(answer)	35	train	mathqa_geometry.json
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 ?	n0 = 20.0 n1 = 20.0 t0 = n0 / 100.0 t1 = t0 + 1.0 t2 = 1.0 - t0 t3 = t1 * t2 t4 = 1.0 - t3 answer = t4 * 100.0 print(answer)	4.0000000000000036	train	mathqa_geometry.json
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 .	n0 = 2.0 n1 = 1.0 n2 = 3.0 n3 = 2.0 n4 = 1.0 n5 = 50.0 t0 = n5 + n5 + n5 # perimeter of a triangle answer = t0 + t0 print(answer)	300	train	mathqa_geometry.json
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 ?	n0 = 300.0 n1 = 180.0 n2 = 40.0 t0 = n0 - n1 t1 = t0 - n2 answer = t1 / 2.0 print(answer)	40	train	mathqa_geometry.json

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 ?

n0 = 60.0 n1 = 45.0 t0 = n0 / 3.0 t1 = n1 - t0 answer = t1 - t0 print(answer)

5

train

mathqa_geometry.json

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 .

import math n0 = 12.0 n1 = 4.0 n2 = 80.0 t0 = n2 / n1 t1 = n0**min(2.0, 5) t2 = t0**min(2.0, 5) t3 = t2 - t1 answer = math.sqrt(max(0, t3)) print(answer)

16

train

mathqa_geometry.json

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 ?

import math n0 = 6.0 n1 = 8.0 t0 = n0**min(2.0, 5) t1 = n1**min(2.0, 5) t2 = t0 + t1 answer = math.sqrt(max(0, t2)) print(answer)

10

train

mathqa_geometry.json

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 :

import math n0 = 14.0 t0 = n0 / 2.0 t1 = n0**2 t2 = math.pi * t0**2 answer = t1 - t2 print(answer)

42.06195997410015

train

mathqa_geometry.json

george ' s car calls for 8 ounces of oil for each cylinder used . his car ' s engine has 6 cylinders . if 16 ounces of oil has already been put into the engine used , then how many additional ounces of oil are needed ?

n0 = 8.0 n1 = 6.0 n2 = 16.0 t0 = n0 * n1 answer = t0 - n2 print(answer)

32

train

mathqa_geometry.json

what is the area of square field whose side of length 13 m ?

n0 = 13.0 answer = n0**2 print(answer)

169

train

mathqa_geometry.json

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 ?

import math n0 = 219.0 n1 = 3.0 n2 = 3.0 t0 = n0 / 2.0 t1 = math.sqrt(max(0, t0)) answer = t1 * 2.0 print(answer)

20.92844953645635

train

mathqa_geometry.json

eight cubes , each with a volume of 512 cm ^ 3 , are joined to form one large cube . what is the surface area of the large cube ?

n0 = 512.0 n1 = 3.0 t0 = 2.0 * 4.0 t1 = n0 * t0 t2 = t1**(1 / 3) answer = 6 * t2**2 # surface of a cube print(answer)

1535.9999999999995

train

mathqa_geometry.json

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 ?

n0 = 5.0 n1 = 5.0 n2 = 75.0 t0 = n0 * n0 t1 = n0 * 2.0 t2 = n2 + t0 t3 = t1 - n0 t4 = t2 / t3 answer = t4 * 2.0 print(answer)

40

train

mathqa_geometry.json

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 ?

n0 = 12.0 n1 = 20.0 n2 = 15.0 t0 = n1 * n2 t1 = n0**3 answer = t1 / t0 print(answer)

5.76

train

mathqa_geometry.json

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 ?

n0 = 24.0 n1 = 64.0 n2 = 8.0 n3 = 8.0 n4 = 24.0 answer = n0 * n0 print(answer)

576

train

mathqa_geometry.json

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 ?

n0 = 80.0 n1 = 40.0 n2 = 10.0 n3 = 3.0 t0 = n0 + n1 t1 = t0 - n2 t2 = n2 * t1 answer = n3 * t2 print(answer)

3300

train

mathqa_geometry.json

can c and can в 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 ?

n0 = 4.0 t0 = n0 * 2.0 answer = t0 * 2.0 print(answer)

16

train

mathqa_geometry.json

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 ?

n0 = 8.0 t0 = 2.0 * 4.0 answer = n0 * t0 print(answer)

64

train

mathqa_geometry.json

the area of a rhombus is equal to the area of a square whose side length is 8 cm . if one of the diagonals is 16 cm what is the length of other diagonal ?

n0 = 8.0 n1 = 16.0 t0 = n0**2 t1 = t0 * 2.0 answer = t1 / n1 print(answer)

8

train

mathqa_geometry.json

cuboid volume and base area are 144 m ^ 3 and 18 m ^ 3 respectively . find the height of a cuboid ?

n0 = 144.0 n1 = 3.0 n2 = 18.0 n3 = 3.0 answer = n0 / n2 print(answer)

8

train

mathqa_geometry.json

a cubical block of metal weighs 4 pounds . how much will another cube of the same metal weigh if its sides are twice as long ?

n0 = 4.0 t0 = 2.0 * 4.0 answer = n0 * t0 print(answer)

32

train

mathqa_geometry.json

if the length of the sides of two cubes are in the ratio 4 : 1 , what is the ratio of their total surface area ?

n0 = 4.0 n1 = 1.0 answer = n0 * n0 print(answer)

16

train

mathqa_geometry.json

a rectangular grass field is 85 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 ?

n0 = 85.0 n1 = 55.0 n2 = 2.5 n3 = 2.0 t0 = n2 * n3 t1 = n0 * n1 # area of rectangle t2 = n0 + t0 t3 = n1 + t0 t4 = t2 * t3 # area of rectangle t5 = t4 - t1 answer = n3 * t5 print(answer)

1450

train

mathqa_geometry.json

the diagonal of a rhombus are 25 m and 50 m . its area is :

n0 = 25.0 n1 = 50.0 answer = n0 * n1 / 2 print(answer)

625

train

mathqa_geometry.json

the diameter of a cylindrical tin is 14 cm and height is 5 cm . find the volume of the cylinder ?

import math n0 = 14.0 n1 = 5.0 t0 = n0 / 2.0 t1 = math.pi * t0**2 * n1 answer = t1 / 3.141592653589793 print(answer)

245

train

mathqa_geometry.json

the water level in a rectangular swimming pool measuring 40 feet by 25 feet is to be lowered by 6 inches . how many gallons of water must be removed ? ( 1 cu ft = 7.5 gallons )

n0 = 40.0 n1 = 25.0 n2 = 6.0 n3 = 1.0 n4 = 7.5 t0 = 10.0 + 2.0 t1 = n2 / t0 t2 = n0 * n1 * t1 answer = n4 * t2 print(answer)

3750

train

mathqa_geometry.json

the volume of a cube is 1728 cc . find its surface .

n0 = 1728.0 t0 = n0**(1 / 3) answer = 6 * t0**2 # surface of a cube print(answer)

863.9999999999997

train

mathqa_geometry.json

the length of rectangle is thrice its breadth and its perimeter is 40 m , find the area of the rectangle ?

n0 = 40.0 t0 = 2.0 * 3.0 t1 = 1.0 * 2.0 t2 = t0 + t1 t3 = n0 / t2 t4 = t3 * 3.0 answer = t3 * t4 print(answer)

75

train

mathqa_geometry.json

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 ?

import math n0 = 25.0 n1 = 4.0 t0 = n1 / 2.0 t1 = n0 / 100.0 t2 = t0 + t1 t3 = math.pi * t0**2 t4 = math.pi * t2**2 answer = t4 - t3 print(answer)

3.3379421944391545

train

mathqa_geometry.json

a circular swimming pool is surrounded by a concrete wall 4 ft wide . if the area of the concrete wall surrounding the pool is 11 / 25 that of the pool , then the radius of the pool is ?

import math n0 = 4.0 n1 = 11.0 n2 = 25.0 t0 = n1 / n2 t1 = n0 * 2.0 t2 = n0**min(2.0, 5) t3 = t0 * n0 t4 = t1**min(2.0, 5) t5 = t3 * t2 t6 = t5 + t4 t7 = math.sqrt(max(0, t6)) t8 = t1 + t7 t9 = t8 / t0 answer = t9 / 2.0 print(answer)

20

train

mathqa_geometry.json

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 ?

import math n0 = 12.0 n1 = 16.0 n2 = 18.0 t0 = n1 / 2.0 t1 = n0 * 3.141592653589793 t2 = math.pi * t0**2 * n0 t3 = t2 / t1 answer = math.sqrt(max(0, t3)) print(answer)

8

train

mathqa_geometry.json

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 ?

n0 = 10.0 n1 = 6.5 n2 = 910.0 t0 = n2 / n1 t1 = t0 / 2.0 t2 = t1 - n0 t3 = t2 / 2.0 t4 = t3 + n0 t5 = t4 + t3 answer = t5 * 2.0 print(answer)

140

train

mathqa_geometry.json

what will be the ratio between the area of a rectangle and the area of a triangle with one of the sides of rectangle as base and a vertex on the opposite side of rectangle .

t0 = 1.0 * 1.0 # area of rectangle t1 = t0 * t0 / 2 answer = t0 / t1 print(answer)

2

train

mathqa_geometry.json

a man walking at the rate of 6 km per hour crosses a square field diagonally in 9 seconds the area of the field is

n0 = 6.0 n1 = 9.0 t0 = n0 * 1000.0 t1 = 10.0 * 360.0 t2 = t0 / t1 t3 = n1 * t2 t4 = t3**min(2.0, 5) answer = t4 / 2.0 print(answer)

112.5

train

mathqa_geometry.json

the area of a triangle is with base 4 m and height 5 m ?

n0 = 4.0 n1 = 5.0 answer = n0 * n1 / 2 print(answer)

10

train

mathqa_geometry.json

the side of a square is increased by 25 % then how much % does its area increases ?

n0 = 25.0 t0 = n0 + 100.0 t1 = 100.0**2 t2 = t0**2 t3 = t2 - t1 t4 = t3 * 100.0 answer = t4 / t1 print(answer)

56.25

train

mathqa_geometry.json

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 :

n0 = 15.0 n1 = 12.0 t0 = n0 + n1 t1 = n0 * n1 t2 = t1 * 2.0 t3 = t0 * 2.0 t4 = t2 / t3 answer = t4 * t1 print(answer)

1200

train

mathqa_geometry.json

abcd is a square . f and e are the midpoints of sides ad and cd , respectively . the area of triangle fed is 2 square inches . what is the area of square abcd ( in square inches ) ?

n0 = 2.0 t0 = n0 * 2.0 answer = t0 * 4.0 print(answer)

16

train

mathqa_geometry.json

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 ?

import math n0 = 972.0 t0 = n0 / 3.0 answer = math.sqrt(max(0, t0)) print(answer)

18

train

mathqa_geometry.json

if the radius of a circle is increased by 12 % , then the area of the circle

n0 = 12.0 t0 = n0 / 100.0 t1 = t0 + 1.0 t2 = t1**min(2.0, 5) t3 = t2 - 1.0 answer = t3 * 100.0 print(answer)

25.44000000000002

train

mathqa_geometry.json

in a rectangular coordinate system , what is the area of a rhombus whose vertices have the coordinates ( 0 , 3.5 ) , ( 7 , 0 ) , ( 0 , - 3.5 ) , ( - 7 , 0 ) ?

n0 = 0.0 n1 = 3.5 n2 = 7.0 n3 = 0.0 n4 = 0.0 n5 = 3.5 n6 = 7.0 n7 = 0.0 t0 = n2 * 2.0 t1 = n1 * 2.0 answer = t0 * t1 / 2 print(answer)

49

train

mathqa_geometry.json

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

import math n0 = 6.0 t0 = n0 / 2.0 t1 = 4.0 * 3.141592653589793 t2 = n0 * t0 t3 = t2 * 3.141592653589793 t4 = t3 * 2.0 t5 = t4 / t1 answer = math.sqrt(max(0, t5)) print(answer)

3

train

mathqa_geometry.json

the area of a triangle is with base 8 m and height 4 m ?

n0 = 8.0 n1 = 4.0 answer = n0 * n1 / 2 print(answer)

16

train

mathqa_geometry.json

a rectangular garden is to be twice as long as it is wide . if 900 yards of fencing , including the gate , will completely enclose the garden , what will be the length of the garden , in yards ?

n0 = 900.0 t0 = 1.0 + 2.0 t1 = t0 * 2.0 t2 = n0 / t1 answer = t2 * 2.0 print(answer)

300

train

mathqa_geometry.json

if each edge of a cube is doubled , then its volume :

answer = 2.0**min(3.0, 5) print(answer)

8

train

mathqa_geometry.json

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 ?

n0 = 2.0 n1 = 10.0 n2 = 4.0 t0 = n0 + n1 t1 = n0 * t0 t2 = t1 + 10.0 t3 = n2 + t2 answer = t3 / t0 print(answer)

3.1666666666666665

train

mathqa_geometry.json

if the space diagonal of cube c is 5 inches long , what is the length , in inches , of the diagonal of the base of cube c ?

n0 = 5.0 answer = n0 * 1.0 print(answer)

5

train

mathqa_geometry.json

if the height of a cone is increased by 190 % then its volume is increased by ?

n0 = 190.0 answer = n0 * 1.0 # area of rectangle print(answer)

190

train

mathqa_geometry.json

the parameter of a square is equal to the perimeter of a rectangle of length 16 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 )

import math n0 = 16.0 n1 = 14.0 t0 = 2 * (n0 + n1) # perimetere of rectangle t1 = t0 / 4. # square edge given perimeter t2 = t1 / 2.0 t3 = 2 * math.pi * t2 answer = t3 / 2.0 print(answer)

23.561944901923447

train

mathqa_geometry.json

you buy a piece of land with an area of â ˆ š 625 , how long is one side of the land plot ?

import math n0 = 625.0 answer = math.sqrt(max(0, n0)) print(answer)

25

train

mathqa_geometry.json

a rectangular box 60 m long and 40 m wide has two concrete crossroads running in the middle of the box and rest of the box has been used as a lawn . the area of the lawn is 2109 sq . m . what is the width of the road ?

import math n0 = 60.0 n1 = 40.0 n2 = 2109.0 t0 = n0 * n1 t1 = 100.0**min(2.0, 5) t2 = t0 - n2 t3 = t2 * 4.0 t4 = t1 - t3 t5 = math.sqrt(max(0, t4)) t6 = 100.0 - t5 answer = t6 / 2.0 print(answer)

3

train

mathqa_geometry.json

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 ?

n0 = 0.0 n1 = 0.0 n2 = 4.0 n3 = 0.0 n4 = 4.0 n5 = 10.0 n6 = 0.0 t0 = n0 + 10.0 answer = 4.0 / t0 print(answer)

0.4

train

mathqa_geometry.json

right triangle pqr is the base of the prism in the figure above . if pq = pr = â ˆ š 14 and the height of the prism is 8 , what is the volume of the prism ?

import math n0 = 14.0 n1 = 8.0 t0 = math.sqrt(max(0, n0)) t1 = t0 * t0 / 2 answer = n1 * t1 print(answer)

56

train

mathqa_geometry.json

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 ?

n0 = 224.0 n1 = 80.0 n2 = 175.0 n3 = 24.0 t0 = n1 / 100.0 t1 = n0 - n3 t2 = n2 * t0 t3 = t1 - t2 answer = t3 / 2.0 print(answer)

30

train

mathqa_geometry.json

tough and tricky questions : number properties . what is the smallest positive integer x such that 1512 x is the cube of a positive integer ?

n0 = 1512.0 t0 = n0 / 2.0 t1 = t0 / 2.0 t2 = t1 / 2.0 t3 = t2 / 3.0 t4 = t3 / 3.0 t5 = t4 / 3.0 answer = t5**min(2.0, 5) print(answer)

49

train

mathqa_geometry.json

find the area of a parallelogram with base 24 cm and height 16 cm .

n0 = 24.0 n1 = 16.0 answer = n0 * n1 print(answer)

384

train

mathqa_geometry.json

the diagonal of a rectangle is 41 cm and its area is 20 sq . cm . the perimeter of the rectangle must be :

import math n0 = 41.0 n1 = 20.0 t0 = n1 * 2.0 t1 = n0 + t0 t2 = math.sqrt(max(0, t1)) answer = t2 * 2.0 print(answer)

18

train

mathqa_geometry.json

the diagonals of a rhombus are 11 cm and 20 cm . find its area ?

n0 = 11.0 n1 = 20.0 answer = n0 * n1 / 2 print(answer)

110

train

mathqa_geometry.json

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 :

n0 = 48.0 n1 = 36.0 n2 = 5.0 n3 = 3.0 t0 = n2 * 2.0 t1 = n0 - t0 t2 = n1 - t0 answer = n2 * t1 * t2 print(answer)

4940

train

mathqa_geometry.json

a rectangular lawn of dimensions 80 m * 60 m has two roads each 15 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 ?

n0 = 80.0 n1 = 60.0 n2 = 15.0 n3 = 3.0 t0 = n0 + n1 t1 = t0 - n2 t2 = n2 * t1 answer = n3 * t2 print(answer)

5625

train

mathqa_geometry.json

what is the area of square field whose side of length 8 m ?

n0 = 8.0 answer = n0**2 print(answer)

64

train

mathqa_geometry.json

each of the 39 points is placed either inside or on the surface of a perfect sphere . if 72 % or fewer of the points touch the surface , what is the maximum number of segments which , if connected from those points to form chords , could be the diameter of the sphere ?

n0 = 39.0 n1 = 72.0 t0 = n1 / 100.0 t1 = n0 * t0 answer = t1 / 2.0 print(answer)

14.04

train

mathqa_geometry.json

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 ?

n0 = 24.0 n1 = 42.0 t0 = n0**2 t1 = t0 * 2.0 answer = t1 / n1 print(answer)

27.428571428571427

train

mathqa_geometry.json

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 ?

n0 = 10.0 t0 = 3600.0 / 10.0 t1 = n0 * 2.0 t2 = t0 - t1 answer = t2 / 4.0 print(answer)

85

train

mathqa_geometry.json

what is the area of square field whose side of length 7 m ?

n0 = 7.0 answer = n0**2 print(answer)

49

train

mathqa_geometry.json

16 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 ?

n0 = 16.0 answer = n0 / 4.0 print(answer)

4

train

mathqa_geometry.json

if each side of a rectangle is increased by 100 % , by what % the area increases ?

n0 = 100.0 t0 = n0 / 100.0 t1 = t0 * 2.0 t2 = t1**min(2.0, 5) t3 = t2 - 1.0 answer = t3 * 100.0 print(answer)

300

train

mathqa_geometry.json

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 ?

n0 = 4.0 n1 = 3.0 t0 = n0 + n1 t1 = n0 * n1 t2 = n1 * t0 t3 = t2 - t1 t4 = t0 + t3 t5 = t4 + t3 answer = t5 * 2.0 print(answer)

50

train

mathqa_geometry.json

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 ?

import math n0 = 169.0 n1 = 2.0 n2 = 2.0 t0 = math.sqrt(max(0, n0)) t1 = t0 - 2.0 answer = t0 * t1 print(answer)

143

train

mathqa_geometry.json

the edge of a cube is 5 a cm . find its surface ?

n0 = 5.0 answer = 6 * n0**2 # surface of a cube print(answer)

150

train

mathqa_geometry.json

a ring x of diameter 16 inches is placed inside another ring y of diameter of 18 inches . how much fraction of the ring x surface is not covered by the ring y ?

import math n0 = 16.0 n1 = 18.0 t0 = n1 / 2.0 t1 = n0 / 2.0 t2 = math.pi * t0**2 t3 = math.pi * t1**2 t4 = t2 - t3 answer = t4 / t2 print(answer)

0.2098765432098765

train

mathqa_geometry.json

the area of a triangle is with base 4.5 m and height 6 m ?

n0 = 4.5 n1 = 6.0 answer = n0 * n1 / 2 print(answer)

13.5

train

mathqa_geometry.json

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 . 24 small cubes are found with no paints on them . how many of unit cubes have at least one face that is painted red ?

n0 = 24.0 t0 = 1.0 + 3.0 t1 = t0 + 1.0 t2 = t1**min(3.0, 5) answer = t2 - n0 print(answer)

101

train

mathqa_geometry.json

if the sum of a number and its square is 240 , what is the number ?

import math n0 = 240.0 t0 = math.sqrt(max(0, n0)) answer = math.floor(t0) print(answer)

15

train

mathqa_geometry.json

the diagonals of a rhombus are 30 cm and 12 cm . find its area ?

n0 = 30.0 n1 = 12.0 answer = n0 * n1 / 2 print(answer)

180

train

mathqa_geometry.json

two equilateral triangle of side 12 cm are placed one on top another , such a 6 pionted star is formed if the six vertices lie on a circle what is the area of the circle not enclosed by the star ?

n0 = 6.0 n1 = 5.0 n2 = 2.0 n3 = 19.0 t0 = n0 * n1 t1 = n2 * t0 t2 = t1 / n2 answer = t2 + 3.0 print(answer)

33

train

mathqa_geometry.json

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 ?

n0 = 60.0 n1 = 10.0 n2 = 20.0 t0 = n0 / n1 t1 = n1 * n1 t2 = t0 * t1 t3 = t2 / n2 answer = n0 * t3 print(answer)

1800

train

mathqa_geometry.json

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 ’ s area to rectangle b ’ s area ?

n0 = 2.0 n1 = 5.0 t0 = n0**min(2.0, 5) t1 = n1**min(2.0, 5) answer = t0 / t1 print(answer)

0.16

train

mathqa_geometry.json

find the curved surface area , if the radius of a cone is 28 m and slant height is 30 m ?

n0 = 28.0 n1 = 30.0 t0 = n0 * n1 answer = t0 * 3.141592653589793 print(answer)

2638.9378290154264

train

mathqa_geometry.json

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 ?

n0 = 220.0 n1 = 80.0 n2 = 175.0 n3 = 24.0 t0 = n1 / 100.0 t1 = n0 - n3 t2 = n2 * t0 t3 = t1 - t2 answer = t3 / 2.0 print(answer)

28

train

mathqa_geometry.json

an isosceles triangle with sides 13 13 10 and there is a circle inscribed it . find the radius of circle ?

import math n0 = 13.0 n1 = 13.0 n2 = 10.0 t0 = (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 t1 = n0 + n0 + n2 # perimeter of a triangle t2 = t0 * 2.0 answer = t2 / t1 print(answer)

3.3333333333333335

train

mathqa_geometry.json

the diagonals of a rhombus are 10 cm and 15 cm . find its area ?

n0 = 10.0 n1 = 15.0 answer = n0 * n1 / 2 print(answer)

75

train

mathqa_geometry.json

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 ?

n0 = 3.0 n1 = 12.0 n2 = 10.0 t0 = n0 * 2.0 t1 = n1 - t0 t2 = n2 - t0 answer = t1 * t2 # area of rectangle print(answer)

24

train

mathqa_geometry.json

the area of a square field is 576 km 2 . how long will it take for a horse to run around at the speed of 12 km / h ?

import math n0 = 576.0 n1 = 2.0 n2 = 12.0 t0 = math.sqrt(max(0, n0)) t1 = t0 * 4.0 answer = t1 / n2 print(answer)

8

train

mathqa_geometry.json

find the area of a rhombus whose side is 25 cm and one of the diagonals is 30 cm ?

n0 = 25.0 n1 = 30.0 t0 = 10.0 * 2.0 t1 = t0 * 2.0 answer = n1 * t1 / 2 print(answer)

600

train

mathqa_geometry.json

in a parallelogram , the length of one diagonal and the perpendicular dropped on that diagonal are 30 and 20 metres respectively . find its area

n0 = 30.0 n1 = 20.0 answer = n0 * n1 print(answer)

600

train

mathqa_geometry.json

find the area of the quadrilateral of one of its diagonals is 24 cm and its off sets 9 cm and 6 cm ?

n0 = 24.0 n1 = 9.0 n2 = 6.0 t0 = n1 + n2 t1 = 1.0 / 2.0 t2 = t0 * t1 answer = n0 * t2 print(answer)

180

train

mathqa_geometry.json

what is the measure of the angle e made by the diagonals of the any adjacent sides of a cube .

answer = 180.0 / 3.0 print(answer)

60

train

mathqa_geometry.json

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 ?

n0 = 2.0 n1 = 4.0 n2 = 94.0 t0 = n1 * 2.0 t1 = n0 * 2.0 t2 = t0**min(2.0, 5) t3 = t1**min(2.0, 5) t4 = t2 - t3 t5 = n2 - t4 answer = t5 / 2.0 print(answer)

23

train

mathqa_geometry.json

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 .

import math n0 = 300.0 n1 = 70.0 t0 = n1 / 2.0 t1 = n0 * 4.0 t2 = t0 * t0 t3 = t2 - t1 t4 = math.sqrt(max(0, t3)) t5 = t0 - t4 answer = t5 / 2.0 print(answer)

15

train

mathqa_geometry.json

in a rectangular coordinate system , what is the area of a rectangle whose vertices have the coordinates ( - 7 , 1 ) , ( 1 , 1 ) , ( 1 , - 6 ) and ( - 7 , - 6 ) ?

n0 = 7.0 n1 = 1.0 n2 = 1.0 n3 = 1.0 n4 = 1.0 n5 = 6.0 n6 = 7.0 n7 = 6.0 t0 = n0 + n1 t1 = n1 + n5 answer = t0 * t1 print(answer)

56

train

mathqa_geometry.json

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 ?

n0 = 1.0 n1 = 223.0 t0 = n1 - n0 t1 = t0 / 2.0 t2 = t1**min(2.0, 5) answer = n1 + t2 print(answer)

12544

train

mathqa_geometry.json

if ( 20 ) ² is subtracted from the square of a number , the answer so obtained is 4321 . what is the number ?

import math n0 = 20.0 n1 = 4321.0 t0 = 10.0 * 2.0 t1 = t0**min(2.0, 5) t2 = n1 + t1 answer = math.sqrt(max(0, t2)) print(answer)

68.70953354520753

train

mathqa_geometry.json

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 ?

import math n0 = 3.0 n1 = 6.0 n2 = 20.0 n3 = 10.0 t0 = n2 / 2.0 t1 = n0 / 2.0 t2 = math.pi * t0**2 * n3 t3 = math.pi * t1**2 * n1 answer = t2 / t3 print(answer)

74.07407407407408

train

mathqa_geometry.json

a semicircle has a radius of 9 . what is the approximate perimeter of the semicircle ?

import math n0 = 9.0 t0 = 2 * math.pi * n0 t1 = n0 * 2.0 t2 = t0 / 2.0 answer = t2 + t1 print(answer)

46.27433388230814

train

mathqa_geometry.json

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 ?

n0 = 4.0 n1 = 5.0 t0 = n0 * n1 answer = n1 * t0 # area of rectangle print(answer)

100

train

mathqa_geometry.json

in a rectangular coordinate system , what is the area of a rectangle whose vertices have the coordinates ( - 5 , 1 ) , ( 1 , 1 ) , ( 1 , - 4 ) and ( - 5 , - 4 ) ?

n0 = 5.0 n1 = 1.0 n2 = 1.0 n3 = 1.0 n4 = 1.0 n5 = 4.0 n6 = 5.0 n7 = 4.0 t0 = n0 + n1 t1 = n1 + n5 answer = t0 * t1 print(answer)

30

train

mathqa_geometry.json

what is the perimeter , in meters , of a rectangular garden 8 meters wide that has the same area as a rectangular playground 16 meters long and 12 meters wide ?

n0 = 8.0 n1 = 16.0 n2 = 12.0 t0 = n1 * n2 # area of rectangle t1 = t0 / n0 answer = 2 * (n0 + t1) # perimetere of rectangle print(answer)

64

train

mathqa_geometry.json

let the sides of a rectangular prism are consecutive multiples of 5 . which among the following could be the base area

n0 = 5.0 t0 = n0 * 3.0 t1 = t0 * 2.0 answer = t1 * t0 print(answer)

450

train

mathqa_geometry.json

a rectangular tiled patio is composed of 30 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 30 tiles , and it will still be rectangular . how many rows are in the tile patio before the change in layout ?

import math n0 = 30.0 n1 = 2.0 n2 = 4.0 n3 = 30.0 t0 = n0 * n1 t1 = -n2 t2 = n2**min(n1, 5) t3 = n2 * t0 t4 = t3 + t2 t5 = math.sqrt(max(0, t4)) t6 = t1 + t5 t7 = t6 / n1 answer = n0 / t7 print(answer)

5

train

mathqa_geometry.json

the dimensions of a rectangular solid are 6 inches , 5 inches , and 8 inches . if a cube , a side of which is equal to one of the dimensions of the rectangular solid , is placed entirely within thespherejust large enough to hold the cube , what the ratio of the volume of the cube to the volume within thespherethat is not occupied by the cube ?

n0 = 1.0 n1 = 2.0 n2 = 2.0 n3 = 1.0 n4 = 10.0 n5 = 35.0 n6 = 4.0 n7 = 3.0 n8 = 5.0 n9 = 3.0 t0 = n4 + n8 t1 = n4 * n6 t2 = t1 / n1 answer = t0 + t2 print(answer)

35

train

mathqa_geometry.json

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 ?

n0 = 20.0 n1 = 20.0 t0 = n0 / 100.0 t1 = t0 + 1.0 t2 = 1.0 - t0 t3 = t1 * t2 t4 = 1.0 - t3 answer = t4 * 100.0 print(answer)

4.0000000000000036

train

mathqa_geometry.json

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 .

n0 = 2.0 n1 = 1.0 n2 = 3.0 n3 = 2.0 n4 = 1.0 n5 = 50.0 t0 = n5 + n5 + n5 # perimeter of a triangle answer = t0 + t0 print(answer)

300

train

mathqa_geometry.json

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 ?

n0 = 300.0 n1 = 180.0 n2 = 40.0 t0 = n0 - n1 t1 = t0 - n2 answer = t1 / 2.0 print(answer)

40

train

mathqa_geometry.json