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Browse files- III_Geometry/geometry_100.csv +785 -0
- III_Geometry/geometry_100.json +100 -0
- III_Geometry/geometry_1000.csv +0 -0
- III_Geometry/geometry_1000.json +0 -0
- II_WordProblems/wordProblems_100.csv +101 -0
- II_WordProblems/wordProblems_100.json +100 -0
- II_WordProblems/wordProblems_1000.csv +0 -0
- II_WordProblems/wordProblems_1000.json +0 -0
- II_WordProblems/wordProblems_complete.csv +0 -0
- II_WordProblems/wordProblems_complete.json +0 -0
- I_Arithmetic/arithmetic_100.csv +101 -0
- I_Arithmetic/arithmetic_100.json +100 -0
- I_Arithmetic/arithmetic_1000.csv +0 -0
- I_Arithmetic/arithmetic_1000.json +0 -0
III_Geometry/geometry_100.csv
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| 1 |
+
category,subcategory,question,answer,reasoning,source
|
| 2 |
+
Geometry,geometry,"a metallic sheet is of rectangular shape with dimensions 48 m x 36 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 3 m , the volume of the box ( in m 3 ) is :",3780.0,"n0 = 48.0
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| 3 |
+
n1 = 36.0
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| 4 |
+
n2 = 3.0
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| 5 |
+
n3 = 3.0
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| 6 |
+
t0 = n2 * 2.0
|
| 7 |
+
t1 = n0 - t0
|
| 8 |
+
t2 = n1 - t0
|
| 9 |
+
answer = n2 * t1 * t2
|
| 10 |
+
print(answer)",MathQA_Geometry
|
| 11 |
+
Geometry,geometry,"a circle graph shows how the budget of a certain company was spent : 55 percent for salaries , 9 percent for research and development , 5 percent for utilities , 4 percent for equipment , 2 percent for supplies , and the remainder for transportation . if the area of each sector of the graph is proportional to the percent of the budget it represents , how many degrees of the circle are used to represent transportation ?",90.0,"n0 = 55.0
|
| 12 |
+
n1 = 9.0
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| 13 |
+
n2 = 5.0
|
| 14 |
+
n3 = 4.0
|
| 15 |
+
n4 = 2.0
|
| 16 |
+
t0 = n0 + n1
|
| 17 |
+
t1 = n2 + t0
|
| 18 |
+
t2 = n3 + t1
|
| 19 |
+
t3 = n4 + t2
|
| 20 |
+
t4 = 100.0 - t3
|
| 21 |
+
t5 = t4 * 360.0
|
| 22 |
+
answer = t5 / 100.0
|
| 23 |
+
print(answer)",MathQA_Geometry
|
| 24 |
+
Geometry,geometry,"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 ?",7.0,"import math
|
| 25 |
+
n0 = 91.0
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| 26 |
+
n1 = 40.0
|
| 27 |
+
t0 = n1 / 2.0
|
| 28 |
+
t1 = n0 * 4.0
|
| 29 |
+
t2 = t0**min(2.0, 5)
|
| 30 |
+
t3 = t2 - t1
|
| 31 |
+
t4 = math.sqrt(max(0, t3))
|
| 32 |
+
t5 = t0 - t4
|
| 33 |
+
answer = t5 / 2.0
|
| 34 |
+
print(answer)",MathQA_Geometry
|
| 35 |
+
Geometry,geometry,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 ?,2812.0,"n0 = 11248.0
|
| 36 |
+
n1 = 4.0
|
| 37 |
+
|
| 38 |
+
answer = n0 / n1
|
| 39 |
+
print(answer)",MathQA_Geometry
|
| 40 |
+
Geometry,geometry,"a hall is 15 m long and 12 m broad . if the sum of the areas of the floor and the ceiling is equal to the sum of the areas of 4 walls , the volume of the hall is :",1200.0,"n0 = 15.0
|
| 41 |
+
n1 = 12.0
|
| 42 |
+
t0 = n1 * 2.0
|
| 43 |
+
t1 = n0 * 2.0
|
| 44 |
+
t2 = n0 * n1 # area of rectangle
|
| 45 |
+
t3 = t0 + t1
|
| 46 |
+
t4 = t2 * 2.0
|
| 47 |
+
t5 = t4 / t3
|
| 48 |
+
answer = n0 * n1 * t5
|
| 49 |
+
print(answer)",MathQA_Geometry
|
| 50 |
+
Geometry,geometry,the parameter of a square is equal to the perimeter of a rectangle of length 20 cm and breadth 14 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places ),26.703537555513243,"import math
|
| 51 |
+
n0 = 20.0
|
| 52 |
+
n1 = 14.0
|
| 53 |
+
t0 = 2 * (n0 + n1) # perimetere of rectangle
|
| 54 |
+
t1 = t0 / 4. # square edge given perimeter
|
| 55 |
+
t2 = t1 / 2.0
|
| 56 |
+
t3 = 2 * math.pi * t2
|
| 57 |
+
answer = t3 / 2.0
|
| 58 |
+
print(answer)",MathQA_Geometry
|
| 59 |
+
Geometry,geometry,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 ?,346.3605900582747,"import math
|
| 60 |
+
n0 = 50.0
|
| 61 |
+
n1 = 21.0
|
| 62 |
+
t0 = math.pi * n1**2
|
| 63 |
+
answer = t0 / 4.0
|
| 64 |
+
print(answer)",MathQA_Geometry
|
| 65 |
+
Geometry,geometry,a certain rectangular crate measures 12 feet by 16 feet by 18 feet . a cylindrical gas tank is to be made for shipment in the crate and will stand upright when the crate is placed on one of its six faces . what should the radius of the tank be if it is to be of the largest possible volume ?,8.0,"import math
|
| 66 |
+
n0 = 12.0
|
| 67 |
+
n1 = 16.0
|
| 68 |
+
n2 = 18.0
|
| 69 |
+
t0 = n1 / 2.0
|
| 70 |
+
t1 = n0 * 3.141592653589793
|
| 71 |
+
t2 = math.pi * t0**2 * n0
|
| 72 |
+
t3 = t2 / t1
|
| 73 |
+
answer = math.sqrt(max(0, t3))
|
| 74 |
+
print(answer)",MathQA_Geometry
|
| 75 |
+
Geometry,geometry,"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 ?",30.0,"n0 = 224.0
|
| 76 |
+
n1 = 80.0
|
| 77 |
+
n2 = 175.0
|
| 78 |
+
n3 = 24.0
|
| 79 |
+
t0 = n1 / 100.0
|
| 80 |
+
t1 = n0 - n3
|
| 81 |
+
t2 = n2 * t0
|
| 82 |
+
t3 = t1 - t2
|
| 83 |
+
answer = t3 / 2.0
|
| 84 |
+
print(answer)",MathQA_Geometry
|
| 85 |
+
Geometry,geometry,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 ?,200.0,"import math
|
| 86 |
+
n0 = 30.0
|
| 87 |
+
n1 = 120.0
|
| 88 |
+
t0 = n1 / n0
|
| 89 |
+
t1 = math.sqrt(max(0, t0))
|
| 90 |
+
answer = t1 * 100.0
|
| 91 |
+
print(answer)",MathQA_Geometry
|
| 92 |
+
Geometry,geometry,"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 ?",0.111111111111111,"n0 = 2.0
|
| 93 |
+
n1 = 0.0
|
| 94 |
+
n2 = 8.0
|
| 95 |
+
n3 = 12.0
|
| 96 |
+
n4 = 14.0
|
| 97 |
+
n5 = 0.0
|
| 98 |
+
n6 = 6.0
|
| 99 |
+
n7 = 0.0
|
| 100 |
+
n8 = 8.0
|
| 101 |
+
n9 = 4.0
|
| 102 |
+
n10 = 10.0
|
| 103 |
+
n11 = 0.0
|
| 104 |
+
t0 = 10.0 + 2.0
|
| 105 |
+
t1 = 4.0**min(2.0, 5)
|
| 106 |
+
t2 = t1 / 2.0
|
| 107 |
+
t3 = t0**min(2.0, 5)
|
| 108 |
+
t4 = t3 / 2.0
|
| 109 |
+
answer = t2 / t4
|
| 110 |
+
print(answer)",MathQA_Geometry
|
| 111 |
+
Geometry,geometry,"the length of rectangle is thrice its breadth and its perimeter is 48 m , find the area of the rectangle ?",108.0,"n0 = 48.0
|
| 112 |
+
t0 = 2.0 * 3.0
|
| 113 |
+
t1 = 1.0 * 2.0
|
| 114 |
+
t2 = t0 + t1
|
| 115 |
+
t3 = n0 / t2
|
| 116 |
+
t4 = t3 * 3.0
|
| 117 |
+
answer = t3 * t4
|
| 118 |
+
print(answer)",MathQA_Geometry
|
| 119 |
+
Geometry,geometry,the area of a rhombus is equal to the area of a rectangle whose length is 20 cm and the breadth is 10 cm . if one of the diagonals is 32 cm what is the length of other diagonal ?,12.5,"n0 = 20.0
|
| 120 |
+
n1 = 10.0
|
| 121 |
+
n2 = 32.0
|
| 122 |
+
t0 = n0 * n1 # area of rectangle
|
| 123 |
+
t1 = t0 * 2.0
|
| 124 |
+
answer = t1 / n2
|
| 125 |
+
print(answer)",MathQA_Geometry
|
| 126 |
+
Geometry,geometry,"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 ? ”",30.0,"n0 = 2.0
|
| 127 |
+
n1 = 2.0
|
| 128 |
+
t0 = n0 * n0
|
| 129 |
+
t1 = t0 * t0
|
| 130 |
+
t2 = n0 * t1
|
| 131 |
+
answer = t2 - 2.0
|
| 132 |
+
print(answer)",MathQA_Geometry
|
| 133 |
+
Geometry,geometry,the surface of a cube is 150 sq cm . find its volume ?,125.0,"import math
|
| 134 |
+
n0 = 150.0
|
| 135 |
+
t0 = 2.0 + 4.0
|
| 136 |
+
t1 = n0 / t0
|
| 137 |
+
t2 = math.sqrt(max(0, t1))
|
| 138 |
+
answer = t2**3
|
| 139 |
+
print(answer)",MathQA_Geometry
|
| 140 |
+
Geometry,geometry,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 ?,15.0,"n0 = 60.0
|
| 141 |
+
n1 = 30.0
|
| 142 |
+
n2 = 30.0
|
| 143 |
+
t0 = n0 * n1
|
| 144 |
+
t1 = n1**min(3.0, 5)
|
| 145 |
+
answer = t1 / t0
|
| 146 |
+
print(answer)",MathQA_Geometry
|
| 147 |
+
Geometry,geometry,"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 ?",20.0,"n0 = 5.0
|
| 148 |
+
|
| 149 |
+
answer = 4 * n0
|
| 150 |
+
print(answer)",MathQA_Geometry
|
| 151 |
+
Geometry,geometry,"if n is the smallest integer such that 432 times n is the square of an integer , what is the value of n ?",3.0,"n0 = 432.0
|
| 152 |
+
t0 = n0 / 2.0
|
| 153 |
+
t1 = t0 / 2.0
|
| 154 |
+
t2 = t1 / 2.0
|
| 155 |
+
t3 = t2 / 2.0
|
| 156 |
+
t4 = t3 / 3.0
|
| 157 |
+
answer = t4 / 3.0
|
| 158 |
+
print(answer)",MathQA_Geometry
|
| 159 |
+
Geometry,geometry,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 :,140.0,"n0 = 19.0
|
| 160 |
+
n1 = 12.0
|
| 161 |
+
n2 = 2.0
|
| 162 |
+
t0 = n2 * n2
|
| 163 |
+
t1 = n0 * n1 # area of rectangle
|
| 164 |
+
t2 = n0 + t0
|
| 165 |
+
t3 = n1 + t0
|
| 166 |
+
t4 = t2 * t3 # area of rectangle
|
| 167 |
+
answer = t4 - t1
|
| 168 |
+
print(answer)",MathQA_Geometry
|
| 169 |
+
Geometry,geometry,what is the area of a square field whose diagonal of length 10 m ?,50.0,"n0 = 10.0
|
| 170 |
+
t0 = n0**2
|
| 171 |
+
answer = t0 / 2.0
|
| 172 |
+
print(answer)",MathQA_Geometry
|
| 173 |
+
Geometry,geometry,find the perimeter and area of a square of side 13 cm .,169.0,"n0 = 13.0
|
| 174 |
+
|
| 175 |
+
answer = n0**2
|
| 176 |
+
print(answer)",MathQA_Geometry
|
| 177 |
+
Geometry,geometry,"an equilateral triangle t 2 is formed by joining the mid points of the sides of another equilateral triangle t 1 . a third equilateral triangle t 3 is formed by joining the mid - points of t 2 and this process is continued indefinitely . if each side of t 1 is 60 cm , find the sum of the perimeters of all the triangles .",360.0,"n0 = 2.0
|
| 178 |
+
n1 = 1.0
|
| 179 |
+
n2 = 3.0
|
| 180 |
+
n3 = 2.0
|
| 181 |
+
n4 = 1.0
|
| 182 |
+
n5 = 60.0
|
| 183 |
+
t0 = n5 + n5 + n5 # perimeter of a triangle
|
| 184 |
+
answer = t0 + t0
|
| 185 |
+
print(answer)",MathQA_Geometry
|
| 186 |
+
Geometry,geometry,the area of a parallelogram is 128 sq m . then the area of a triangle formed by its diagonal is - - - - - - - - - - ?,64.0,"n0 = 128.0
|
| 187 |
+
|
| 188 |
+
answer = n0 / 2.0
|
| 189 |
+
print(answer)",MathQA_Geometry
|
| 190 |
+
Geometry,geometry,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 ?,12.0,"n0 = 8.0
|
| 191 |
+
n1 = 6.0
|
| 192 |
+
n2 = 48.0
|
| 193 |
+
n3 = 1.0
|
| 194 |
+
n4 = 1.0
|
| 195 |
+
t0 = n0 + n1
|
| 196 |
+
answer = t0 - 2.0
|
| 197 |
+
print(answer)",MathQA_Geometry
|
| 198 |
+
Geometry,geometry,"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 ?",36.0,"import math
|
| 199 |
+
n0 = 60.0
|
| 200 |
+
t0 = math.pi * n0**2
|
| 201 |
+
t1 = math.pi * 100.0**2
|
| 202 |
+
t2 = t0 * 100.0
|
| 203 |
+
answer = t2 / t1
|
| 204 |
+
print(answer)",MathQA_Geometry
|
| 205 |
+
Geometry,geometry,"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 ?",21.908902300206645,"import math
|
| 206 |
+
n0 = 360.0
|
| 207 |
+
n1 = 25.0
|
| 208 |
+
t0 = n1 / 100.0
|
| 209 |
+
t1 = 1.0 - t0
|
| 210 |
+
t2 = n0 / t1
|
| 211 |
+
answer = math.sqrt(max(0, t2))
|
| 212 |
+
print(answer)",MathQA_Geometry
|
| 213 |
+
Geometry,geometry,how much greater is the combined area in square inches of the front and back of a rectangular sheet of paper measuring 11 inches by 13 inches than that of a rectangular sheet of paper measuring 6.5 inches by 11 inches ?,100.0,"n0 = 11.0
|
| 214 |
+
n1 = 13.0
|
| 215 |
+
n2 = 6.5
|
| 216 |
+
n3 = 11.0
|
| 217 |
+
t0 = n0 * n1 # area of rectangle
|
| 218 |
+
t1 = n0 * n2 # area of rectangle
|
| 219 |
+
t2 = t0 * 2.0
|
| 220 |
+
t3 = t1 * 2.0
|
| 221 |
+
t4 = t2 - t3
|
| 222 |
+
t5 = t4 / t0
|
| 223 |
+
answer = t5 * 100.0
|
| 224 |
+
print(answer)",MathQA_Geometry
|
| 225 |
+
Geometry,geometry,"if g is the smallest positive integer such that 3150 multiplied by g is the square of an integer , then g must be",14.0,"n0 = 3150.0
|
| 226 |
+
t0 = 2.0 + 3.0
|
| 227 |
+
t1 = n0 / 2.0
|
| 228 |
+
t2 = t1 / t0
|
| 229 |
+
t3 = t2 / t0
|
| 230 |
+
t4 = t3 / 3.0
|
| 231 |
+
t5 = t4 / 3.0
|
| 232 |
+
answer = t5 * 2.0
|
| 233 |
+
print(answer)",MathQA_Geometry
|
| 234 |
+
Geometry,geometry,"the width of a rectangular hall is ½ of its length . if the area of the hall is 288 sq . m , what is the difference between its length and breadth ?",12.0,"import math
|
| 235 |
+
n0 = 288.0
|
| 236 |
+
t0 = 1.0 / 2.0
|
| 237 |
+
t1 = n0 / t0
|
| 238 |
+
t2 = math.sqrt(max(0, t1))
|
| 239 |
+
answer = t2 / 2.0
|
| 240 |
+
print(answer)",MathQA_Geometry
|
| 241 |
+
Geometry,geometry,the slant height of a right circular cone is 10 m and its height is 8 m . find the area of its curved surface .,60.0,"import math
|
| 242 |
+
n0 = 10.0
|
| 243 |
+
n1 = 8.0
|
| 244 |
+
t0 = n0**min(2.0, 5)
|
| 245 |
+
t1 = n1**min(2.0, 5)
|
| 246 |
+
t2 = t0 - t1
|
| 247 |
+
t3 = math.sqrt(max(0, t2))
|
| 248 |
+
answer = n0 * t3
|
| 249 |
+
print(answer)",MathQA_Geometry
|
| 250 |
+
Geometry,geometry,"hall is 15 m long and 12 m broad . if the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls , the volume of the hall is :",1200.0,"n0 = 15.0
|
| 251 |
+
n1 = 12.0
|
| 252 |
+
t0 = n0 + n1
|
| 253 |
+
t1 = n0 * n1
|
| 254 |
+
t2 = t1 * 2.0
|
| 255 |
+
t3 = t0 * 2.0
|
| 256 |
+
t4 = t2 / t3
|
| 257 |
+
answer = t4 * t1
|
| 258 |
+
print(answer)",MathQA_Geometry
|
| 259 |
+
Geometry,geometry,"a cube of edge 12 cm is immersed completely in a rectangular vessel containing water . if the dimensions of the base of vessel are 20 cm * 15 cm , find the rise in water level ?",5.76,"n0 = 12.0
|
| 260 |
+
n1 = 20.0
|
| 261 |
+
n2 = 15.0
|
| 262 |
+
t0 = n1 * n2
|
| 263 |
+
t1 = n0**3
|
| 264 |
+
answer = t1 / t0
|
| 265 |
+
print(answer)",MathQA_Geometry
|
| 266 |
+
Geometry,geometry,a circular wire of radius 42 cm is cut and bent into the form of a rectangle whose sides are in the ratio of 6 : 5 . the smaller side of the rectangle is :,59.975859750350594,"import math
|
| 267 |
+
n0 = 42.0
|
| 268 |
+
n1 = 6.0
|
| 269 |
+
n2 = 5.0
|
| 270 |
+
t0 = n1 + n2
|
| 271 |
+
t1 = 2 * math.pi * n0
|
| 272 |
+
t2 = t0 * 2.0
|
| 273 |
+
t3 = t1 / t2
|
| 274 |
+
answer = n2 * t3
|
| 275 |
+
print(answer)",MathQA_Geometry
|
| 276 |
+
Geometry,geometry,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 ?,27.0,"import math
|
| 277 |
+
n0 = 7.0
|
| 278 |
+
n1 = 4.0
|
| 279 |
+
t0 = 2.0 * 4.0
|
| 280 |
+
t1 = n0 * 2.0
|
| 281 |
+
t2 = t0 + 1.0
|
| 282 |
+
t3 = t1 + 1.0
|
| 283 |
+
t4 = t2 / 2.0
|
| 284 |
+
t5 = t3 / 2.0
|
| 285 |
+
t6 = t5**min(2.0, 5)
|
| 286 |
+
t7 = t4**min(2.0, 5)
|
| 287 |
+
t8 = t6 - t7
|
| 288 |
+
t9 = math.sqrt(max(0, t8))
|
| 289 |
+
answer = t4 * t9 # area of rectangle
|
| 290 |
+
print(answer)",MathQA_Geometry
|
| 291 |
+
Geometry,geometry,"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 ?",3.0,"n0 = 3.0
|
| 292 |
+
n1 = 8.0
|
| 293 |
+
n2 = 12.0
|
| 294 |
+
t0 = n1 * n2
|
| 295 |
+
t1 = n0 * t0
|
| 296 |
+
t2 = t1 / n2
|
| 297 |
+
answer = t2 / n1
|
| 298 |
+
print(answer)",MathQA_Geometry
|
| 299 |
+
Geometry,geometry,"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 ?",21.000000000000018,"n0 = 10.0
|
| 300 |
+
t0 = n0 + 100.0
|
| 301 |
+
t1 = t0 / 100.0
|
| 302 |
+
t2 = t1**min(2.0, 5)
|
| 303 |
+
t3 = t2 - 1.0
|
| 304 |
+
answer = t3 * 100.0
|
| 305 |
+
print(answer)",MathQA_Geometry
|
| 306 |
+
Geometry,geometry,"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 ?",8.0,"n0 = 32.0
|
| 307 |
+
|
| 308 |
+
answer = n0 / 4.0
|
| 309 |
+
print(answer)",MathQA_Geometry
|
| 310 |
+
Geometry,geometry,"a rectangular floor that measures 24 meters by 64 meters is to be covered with carpet squares that each measure 8 meters by 8 meters . if the carpet squares cost $ 24 apiece , what is the total cost for the number of carpet squares needed to cover the floor ?",576.0,"n0 = 24.0
|
| 311 |
+
n1 = 64.0
|
| 312 |
+
n2 = 8.0
|
| 313 |
+
n3 = 8.0
|
| 314 |
+
n4 = 24.0
|
| 315 |
+
|
| 316 |
+
answer = n0 * n0
|
| 317 |
+
print(answer)",MathQA_Geometry
|
| 318 |
+
Geometry,geometry,"the side of a cube is 12 m , find the lateral surface area ?",516.0,"n0 = 12.0
|
| 319 |
+
t0 = 10.0 * 4.0
|
| 320 |
+
t1 = t0 + 3.0
|
| 321 |
+
answer = n0 * t1 # area of rectangle
|
| 322 |
+
print(answer)",MathQA_Geometry
|
| 323 |
+
Geometry,geometry,"a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 60 sq . feet , how many feet of fencing will be required ?",26.0,"n0 = 20.0
|
| 324 |
+
n1 = 60.0
|
| 325 |
+
t0 = n1 / n0
|
| 326 |
+
t1 = t0 * 2.0
|
| 327 |
+
answer = n0 + t1
|
| 328 |
+
print(answer)",MathQA_Geometry
|
| 329 |
+
Geometry,geometry,"if the volume of a cube is x ^ 3 cubic units , what is the number of square units in the surface area of the cube ?",6.0,"n0 = 3.0
|
| 330 |
+
t0 = 2.0 * 3.0
|
| 331 |
+
t1 = 1.0 * 1.0
|
| 332 |
+
answer = t0 * t1
|
| 333 |
+
print(answer)",MathQA_Geometry
|
| 334 |
+
Geometry,geometry,"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 :",5632.0,"n0 = 48.0
|
| 335 |
+
n1 = 38.0
|
| 336 |
+
n2 = 8.0
|
| 337 |
+
n3 = 3.0
|
| 338 |
+
t0 = n2 * 2.0
|
| 339 |
+
t1 = n0 - t0
|
| 340 |
+
t2 = n1 - t0
|
| 341 |
+
answer = n2 * t1 * t2
|
| 342 |
+
print(answer)",MathQA_Geometry
|
| 343 |
+
Geometry,geometry,"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",90.25,"n0 = 10.0
|
| 344 |
+
t0 = n0 - 0.25
|
| 345 |
+
t1 = t0 - 0.25
|
| 346 |
+
answer = t1**min(2.0, 5)
|
| 347 |
+
print(answer)",MathQA_Geometry
|
| 348 |
+
Geometry,geometry,"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 ?",36.0,"n0 = 48.0
|
| 349 |
+
n1 = 112.0
|
| 350 |
+
n2 = 84.0
|
| 351 |
+
t0 = n0 / n1
|
| 352 |
+
answer = n2 * t0
|
| 353 |
+
print(answer)",MathQA_Geometry
|
| 354 |
+
Geometry,geometry,the base and height of a parallelogram are 12 m and 6 m respectively . then its area is = = = = = = ?,72.0,"n0 = 12.0
|
| 355 |
+
n1 = 6.0
|
| 356 |
+
|
| 357 |
+
answer = n0 * n1 # area of rectangle
|
| 358 |
+
print(answer)",MathQA_Geometry
|
| 359 |
+
Geometry,geometry,"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 )",600.0,"n0 = 60.0
|
| 360 |
+
n1 = 360.0
|
| 361 |
+
n2 = 1210.0
|
| 362 |
+
n3 = 43560.0
|
| 363 |
+
n4 = 1.0
|
| 364 |
+
t0 = n1 * n2
|
| 365 |
+
t1 = t0 / 10.0
|
| 366 |
+
t2 = t0 / t1
|
| 367 |
+
answer = n0 * t2
|
| 368 |
+
print(answer)",MathQA_Geometry
|
| 369 |
+
Geometry,geometry,find the area of a parallelogram with base 26 cm and height 14 cm ?,364.0,"n0 = 26.0
|
| 370 |
+
n1 = 14.0
|
| 371 |
+
|
| 372 |
+
answer = n0 * n1
|
| 373 |
+
print(answer)",MathQA_Geometry
|
| 374 |
+
Geometry,geometry,"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 .",275.0,"n0 = 50.0
|
| 375 |
+
n1 = 600.0
|
| 376 |
+
t0 = n1 - n0
|
| 377 |
+
answer = t0 / 2.0
|
| 378 |
+
print(answer)",MathQA_Geometry
|
| 379 |
+
Geometry,geometry,"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 ?",26.0,"n0 = 3.0
|
| 380 |
+
n1 = 3.0
|
| 381 |
+
n2 = 3.0
|
| 382 |
+
n3 = 27.0
|
| 383 |
+
n4 = 1.0
|
| 384 |
+
n5 = 1.0
|
| 385 |
+
n6 = 1.0
|
| 386 |
+
n7 = 1.0
|
| 387 |
+
|
| 388 |
+
answer = n3 - 1.0
|
| 389 |
+
print(answer)",MathQA_Geometry
|
| 390 |
+
Geometry,geometry,the area of a square is 144 m ² . find its perimeter .,48.0,"import math
|
| 391 |
+
n0 = 144.0
|
| 392 |
+
t0 = math.sqrt(max(0, n0))
|
| 393 |
+
answer = 4 * t0
|
| 394 |
+
print(answer)",MathQA_Geometry
|
| 395 |
+
Geometry,geometry,"huey ' s hip pizza sells two sizes of square pizzas : a small pizza that measures 14 inches on a side and costs $ 10 , and a large pizza that measures 21 inches on a side and costs $ 20 . if two friends go to huey ' s with $ 30 apiece , how many more square inches of pizza can they buy if they pool their money than if they each purchase pizza alone ?",49.0,"n0 = 14.0
|
| 396 |
+
n1 = 10.0
|
| 397 |
+
n2 = 21.0
|
| 398 |
+
n3 = 20.0
|
| 399 |
+
n4 = 30.0
|
| 400 |
+
t0 = n2**min(2.0, 5)
|
| 401 |
+
t1 = n0**min(2.0, 5)
|
| 402 |
+
t2 = t1 + t0
|
| 403 |
+
t3 = t0 * 3.0
|
| 404 |
+
t4 = t2 + t2
|
| 405 |
+
answer = t3 - t4
|
| 406 |
+
print(answer)",MathQA_Geometry
|
| 407 |
+
Geometry,geometry,what is the area of square field whose side of length 17 m ?,289.0,"n0 = 17.0
|
| 408 |
+
|
| 409 |
+
answer = n0**2
|
| 410 |
+
print(answer)",MathQA_Geometry
|
| 411 |
+
Geometry,geometry,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 ?,30.0,"n0 = 1.0
|
| 412 |
+
n1 = 1.0
|
| 413 |
+
n2 = 30.0
|
| 414 |
+
n3 = 1.0
|
| 415 |
+
n4 = 2.0
|
| 416 |
+
t0 = n0 + n4
|
| 417 |
+
t1 = n0 / t0
|
| 418 |
+
t2 = n2 * t1
|
| 419 |
+
answer = t0 * t2
|
| 420 |
+
print(answer)",MathQA_Geometry
|
| 421 |
+
Geometry,geometry,"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 ?",1518.7199999999991,"n0 = 75.0
|
| 422 |
+
n1 = 55.0
|
| 423 |
+
n2 = 2.8
|
| 424 |
+
n3 = 2.0
|
| 425 |
+
t0 = n2 * n3
|
| 426 |
+
t1 = n0 * n1 # area of rectangle
|
| 427 |
+
t2 = n0 + t0
|
| 428 |
+
t3 = n1 + t0
|
| 429 |
+
t4 = t2 * t3 # area of rectangle
|
| 430 |
+
t5 = t4 - t1
|
| 431 |
+
answer = n3 * t5
|
| 432 |
+
print(answer)",MathQA_Geometry
|
| 433 |
+
Geometry,geometry,the length of a rectangle is increased by 45 % and its breadth is decreased by 20 % . what is the effect on its area ?,11600.0,"n0 = 45.0
|
| 434 |
+
n1 = 20.0
|
| 435 |
+
t0 = n0 + 100.0
|
| 436 |
+
t1 = 100.0 - n1
|
| 437 |
+
answer = t0 * t1
|
| 438 |
+
print(answer)",MathQA_Geometry
|
| 439 |
+
Geometry,geometry,"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 ?",150.0,"n0 = 12.0
|
| 440 |
+
n1 = 7.0
|
| 441 |
+
t0 = n0 * n1
|
| 442 |
+
t1 = n0 - 1.0
|
| 443 |
+
t2 = n0 * t1
|
| 444 |
+
t3 = t2 / 2.0
|
| 445 |
+
answer = t3 + t0
|
| 446 |
+
print(answer)",MathQA_Geometry
|
| 447 |
+
Geometry,geometry,30 square stone slabs of equal size were needed to cover a floor area of 67.5 sq . m . find the length of each stone slab ?,150.0,"import math
|
| 448 |
+
n0 = 30.0
|
| 449 |
+
n1 = 67.5
|
| 450 |
+
t0 = n1 / n0
|
| 451 |
+
t1 = math.sqrt(max(0, t0))
|
| 452 |
+
answer = t1 * 100.0
|
| 453 |
+
print(answer)",MathQA_Geometry
|
| 454 |
+
Geometry,geometry,the perimeter of an isosceles right triangle is 8 + 8 sq rt 2 . what is the length of the hypotenuse of the triangle ?,5.6568542494923815,"import math
|
| 455 |
+
n0 = 8.0
|
| 456 |
+
n1 = 8.0
|
| 457 |
+
n2 = 2.0
|
| 458 |
+
t0 = math.sqrt(max(0, n2))
|
| 459 |
+
t1 = n0 * t0
|
| 460 |
+
answer = t1 / n2
|
| 461 |
+
print(answer)",MathQA_Geometry
|
| 462 |
+
Geometry,geometry,"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 ?",24.0,"n0 = 12.0
|
| 463 |
+
n1 = 6.0
|
| 464 |
+
t0 = n0**min(2.0, 5)
|
| 465 |
+
answer = t0 / n1
|
| 466 |
+
print(answer)",MathQA_Geometry
|
| 467 |
+
Geometry,geometry,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 .,15.0,"import math
|
| 468 |
+
n0 = 300.0
|
| 469 |
+
n1 = 70.0
|
| 470 |
+
t0 = n1 / 2.0
|
| 471 |
+
t1 = n0 * 4.0
|
| 472 |
+
t2 = t0 * t0
|
| 473 |
+
t3 = t2 - t1
|
| 474 |
+
t4 = math.sqrt(max(0, t3))
|
| 475 |
+
t5 = t0 - t4
|
| 476 |
+
answer = t5 / 2.0
|
| 477 |
+
print(answer)",MathQA_Geometry
|
| 478 |
+
Geometry,geometry,"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 ) ?",72.0,"n0 = 0.0
|
| 479 |
+
n1 = 4.5
|
| 480 |
+
n2 = 8.0
|
| 481 |
+
n3 = 0.0
|
| 482 |
+
n4 = 0.0
|
| 483 |
+
n5 = 4.5
|
| 484 |
+
n6 = 8.0
|
| 485 |
+
n7 = 0.0
|
| 486 |
+
t0 = n2 * 2.0
|
| 487 |
+
t1 = n1 * 2.0
|
| 488 |
+
answer = t0 * t1 / 2
|
| 489 |
+
print(answer)",MathQA_Geometry
|
| 490 |
+
Geometry,geometry,the diagonals of a rhombus are 14 cm and 18 cm . find its area ?,126.0,"n0 = 14.0
|
| 491 |
+
n1 = 18.0
|
| 492 |
+
|
| 493 |
+
answer = n0 * n1 / 2
|
| 494 |
+
print(answer)",MathQA_Geometry
|
| 495 |
+
Geometry,geometry,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 ?,4.0,"import math
|
| 496 |
+
n0 = 10.0
|
| 497 |
+
n1 = 12.0
|
| 498 |
+
n2 = 360.0
|
| 499 |
+
t0 = n0 * n1 # area of rectangle
|
| 500 |
+
t1 = n1 - 1.0
|
| 501 |
+
t2 = t1**min(2.0, 5)
|
| 502 |
+
t3 = n2 - t0
|
| 503 |
+
t4 = t2 + t3
|
| 504 |
+
t5 = math.sqrt(max(0, t4))
|
| 505 |
+
t6 = t5 - t1
|
| 506 |
+
answer = t6 / 2.0
|
| 507 |
+
print(answer)",MathQA_Geometry
|
| 508 |
+
Geometry,geometry,the length of a rectangle is reduced by 22 % . by what % would the width have to be increased to maintainthe original area ?,28.2051282051282,"n0 = 22.0
|
| 509 |
+
t0 = 100.0 - n0
|
| 510 |
+
t1 = t0 / 100.0
|
| 511 |
+
t2 = 1.0 - t1
|
| 512 |
+
t3 = t2 / t1
|
| 513 |
+
answer = t3 * 100.0
|
| 514 |
+
print(answer)",MathQA_Geometry
|
| 515 |
+
Geometry,geometry,"how many diagonals does a polygon with 19 sides have , if one of its vertices does not connect to any diagonal ?",135.0,"n0 = 19.0
|
| 516 |
+
t0 = n0 - 1.0
|
| 517 |
+
t1 = t0 - 3.0
|
| 518 |
+
t2 = t0 * t1
|
| 519 |
+
answer = t2 / 2.0
|
| 520 |
+
print(answer)",MathQA_Geometry
|
| 521 |
+
Geometry,geometry,"the surface area of a sphere is 4 π r 2 , where r is the radius of the sphere . if the area of the base of a hemisphere is 3 , what is the surface area r of that hemisphere ?",9.0,"n0 = 4.0
|
| 522 |
+
n1 = 2.0
|
| 523 |
+
n2 = 3.0
|
| 524 |
+
t0 = n2 / 3.141592653589793
|
| 525 |
+
t1 = n0 * 3.141592653589793
|
| 526 |
+
t2 = t0 * t1
|
| 527 |
+
t3 = t0 * 3.141592653589793
|
| 528 |
+
t4 = t2 / n1
|
| 529 |
+
answer = t4 + t3
|
| 530 |
+
print(answer)",MathQA_Geometry
|
| 531 |
+
Geometry,geometry,the diagonals of a rhombus are 25 cm and 30 cm . find its area ?,375.0,"n0 = 25.0
|
| 532 |
+
n1 = 30.0
|
| 533 |
+
|
| 534 |
+
answer = n0 * n1 / 2
|
| 535 |
+
print(answer)",MathQA_Geometry
|
| 536 |
+
Geometry,geometry,the length of a rectangle hall is 5 m more than its breadth . the area of the hall is 750 m 2 . the length of the hall is :,30.0,"n0 = 5.0
|
| 537 |
+
n1 = 750.0
|
| 538 |
+
n2 = 2.0
|
| 539 |
+
t0 = n1 / n0
|
| 540 |
+
answer = t0 / n0
|
| 541 |
+
print(answer)",MathQA_Geometry
|
| 542 |
+
Geometry,geometry,"a lady grows cabbage in her garden that is in the shape of a square . each cabbage takes 1 square foot of area in her garden . this year , she has increased her output by 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 ?",11236.0,"n0 = 1.0
|
| 543 |
+
n1 = 211.0
|
| 544 |
+
t0 = n1 - n0
|
| 545 |
+
t1 = t0 / 2.0
|
| 546 |
+
t2 = n0 + t1
|
| 547 |
+
answer = t2**min(2.0, 5)
|
| 548 |
+
print(answer)",MathQA_Geometry
|
| 549 |
+
Geometry,geometry,the diagonals of a rhombus are 15 cm and 17 cm . find its area ?,127.5,"n0 = 15.0
|
| 550 |
+
n1 = 17.0
|
| 551 |
+
|
| 552 |
+
answer = n0 * n1 / 2
|
| 553 |
+
print(answer)",MathQA_Geometry
|
| 554 |
+
Geometry,geometry,"a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 440 sq . feet , how many feet of fencing will be required ?",64.0,"n0 = 20.0
|
| 555 |
+
n1 = 440.0
|
| 556 |
+
t0 = n1 / n0
|
| 557 |
+
t1 = t0 * 2.0
|
| 558 |
+
answer = n0 + t1
|
| 559 |
+
print(answer)",MathQA_Geometry
|
| 560 |
+
Geometry,geometry,the radius of a sphere is increased by 50 % . the increase in surface area of the sphere is :,125.0,"import math
|
| 561 |
+
n0 = 50.0
|
| 562 |
+
t0 = n0 / 100.0
|
| 563 |
+
t1 = 4 * math.pi * 1.0**2
|
| 564 |
+
t2 = t0 + 1.0
|
| 565 |
+
t3 = 4 * math.pi * t2**2
|
| 566 |
+
t4 = t3 - t1
|
| 567 |
+
t5 = t4 / t1
|
| 568 |
+
answer = t5 * 100.0
|
| 569 |
+
print(answer)",MathQA_Geometry
|
| 570 |
+
Geometry,geometry,"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 .",11.25,"n0 = 15.0
|
| 571 |
+
n1 = 20.0
|
| 572 |
+
n2 = 15.0
|
| 573 |
+
t0 = n0 * n1
|
| 574 |
+
t1 = n0**3
|
| 575 |
+
answer = t1 / t0
|
| 576 |
+
print(answer)",MathQA_Geometry
|
| 577 |
+
Geometry,geometry,"in measuring the sides of a rectangle , one side is taken 9 % in excess , and the other 8 % in deficit . find the error percent in the area calculated from these measurements .",0.28,"n0 = 9.0
|
| 578 |
+
n1 = 8.0
|
| 579 |
+
t0 = n0 * n1
|
| 580 |
+
t1 = n0 - n1
|
| 581 |
+
t2 = t0 / 100.0
|
| 582 |
+
answer = t1 - t2
|
| 583 |
+
print(answer)",MathQA_Geometry
|
| 584 |
+
Geometry,geometry,"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 ≤ x ≤ 5 and 6 ≤ y ≤ 16 . how many different triangles with these properties could be constructed ?",9900.0,"n0 = 4.0
|
| 585 |
+
n1 = 5.0
|
| 586 |
+
n2 = 6.0
|
| 587 |
+
n3 = 16.0
|
| 588 |
+
t0 = n0 + n2
|
| 589 |
+
t1 = n3 - n1
|
| 590 |
+
t2 = 10.0 - 1.0
|
| 591 |
+
t3 = t0 * t1
|
| 592 |
+
t4 = t3 * t2
|
| 593 |
+
answer = t4 * 10.0
|
| 594 |
+
print(answer)",MathQA_Geometry
|
| 595 |
+
Geometry,geometry,"an equilateral triangle t 2 is formed by joining the mid points of the sides of another equilateral triangle t 1 . a third equilateral triangle t 3 is formed by joining the mid - points of t 2 and this process is continued indefinitely . if each side of t 1 is 50 cm , find the sum of the perimeters of all the triangles .",300.0,"n0 = 2.0
|
| 596 |
+
n1 = 1.0
|
| 597 |
+
n2 = 3.0
|
| 598 |
+
n3 = 2.0
|
| 599 |
+
n4 = 1.0
|
| 600 |
+
n5 = 50.0
|
| 601 |
+
t0 = n5 + n5 + n5 # perimeter of a triangle
|
| 602 |
+
answer = t0 + t0
|
| 603 |
+
print(answer)",MathQA_Geometry
|
| 604 |
+
Geometry,geometry,"if the sides of a triangle are 39 cm , 32 cm and 10 cm , what is its area ?",160.0,"n0 = 39.0
|
| 605 |
+
n1 = 32.0
|
| 606 |
+
n2 = 10.0
|
| 607 |
+
t0 = n1 * n2
|
| 608 |
+
answer = t0 / 2.0
|
| 609 |
+
print(answer)",MathQA_Geometry
|
| 610 |
+
Geometry,geometry,the perimeter of an isosceles right triangle is 12 + 12 sq rt 2 . what is the length of the hypotenuse of the triangle ?,8.485281374238571,"import math
|
| 611 |
+
n0 = 12.0
|
| 612 |
+
n1 = 12.0
|
| 613 |
+
n2 = 2.0
|
| 614 |
+
t0 = math.sqrt(max(0, n2))
|
| 615 |
+
t1 = n0 * t0
|
| 616 |
+
answer = t1 / 2.0
|
| 617 |
+
print(answer)",MathQA_Geometry
|
| 618 |
+
Geometry,geometry,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 .,63.04958277186395,"import math
|
| 619 |
+
n0 = 5.0
|
| 620 |
+
n1 = 2.0
|
| 621 |
+
t0 = n0**min(2.0, 5)
|
| 622 |
+
t1 = math.sqrt(max(0, 3.0))
|
| 623 |
+
t2 = n1**2
|
| 624 |
+
t3 = t1 / 4.0
|
| 625 |
+
t4 = t3 * t0
|
| 626 |
+
t5 = t4 - t2
|
| 627 |
+
t6 = t5 / t4
|
| 628 |
+
answer = t6 * 100.0
|
| 629 |
+
print(answer)",MathQA_Geometry
|
| 630 |
+
Geometry,geometry,carmen made a sculpture from small pieces of wood . the sculpture is 2 feet 10 inches tall . carmen places her sculpture on a base that is 4 inches tall . how tall are the sculpture andbase together ?,3.166666666666666,"n0 = 2.0
|
| 631 |
+
n1 = 10.0
|
| 632 |
+
n2 = 4.0
|
| 633 |
+
t0 = n0 + n1
|
| 634 |
+
t1 = n0 * t0
|
| 635 |
+
t2 = t1 + 10.0
|
| 636 |
+
t3 = n2 + t2
|
| 637 |
+
answer = t3 / t0
|
| 638 |
+
print(answer)",MathQA_Geometry
|
| 639 |
+
Geometry,geometry,find the perimeter and area of a square of side 9 cm .,81.0,"n0 = 9.0
|
| 640 |
+
|
| 641 |
+
answer = n0**2
|
| 642 |
+
print(answer)",MathQA_Geometry
|
| 643 |
+
Geometry,geometry,"in a rectangular coordinate system , what is the area of a rhombus whose vertices have the coordinates ( 0 , 5.5 ) , ( 8 , 0 ) , ( 0 , - 5.5 ) , ( - 8 , 0 ) ?",88.0,"n0 = 0.0
|
| 644 |
+
n1 = 5.5
|
| 645 |
+
n2 = 8.0
|
| 646 |
+
n3 = 0.0
|
| 647 |
+
n4 = 0.0
|
| 648 |
+
n5 = 5.5
|
| 649 |
+
n6 = 8.0
|
| 650 |
+
n7 = 0.0
|
| 651 |
+
t0 = n2 * 2.0
|
| 652 |
+
t1 = n1 * 2.0
|
| 653 |
+
answer = t0 * t1 / 2
|
| 654 |
+
print(answer)",MathQA_Geometry
|
| 655 |
+
Geometry,geometry,the area of a circle is increased by 300 % . by what percent has the diameter of the circle increased ?,100.0,"n0 = 300.0
|
| 656 |
+
t0 = 2.0 / 2.0
|
| 657 |
+
answer = t0 * 100.0
|
| 658 |
+
print(answer)",MathQA_Geometry
|
| 659 |
+
Geometry,geometry,the length of the rectangular field is double its width . inside the field there is square shaped pond 5 m long . if the area of the pond is 1 / 8 of the area of the field . what is the length of the field ?,20.0,"import math
|
| 660 |
+
n0 = 5.0
|
| 661 |
+
n1 = 1.0
|
| 662 |
+
n2 = 8.0
|
| 663 |
+
t0 = 1 / 2.0
|
| 664 |
+
t1 = n0**2
|
| 665 |
+
t2 = n2 * t1
|
| 666 |
+
t3 = t2 / t0
|
| 667 |
+
answer = math.sqrt(max(0, t3))
|
| 668 |
+
print(answer)",MathQA_Geometry
|
| 669 |
+
Geometry,geometry,"in a new housing development , trees are to be planted along the sidewalk of a certain street . each tree takes up one square foot of sidewalk space , and there are to be 20 feet between each tree . how many trees can be planted if the road is 148 feet long ?",8.0,"n0 = 20.0
|
| 670 |
+
n1 = 148.0
|
| 671 |
+
t0 = n0 + 1.0
|
| 672 |
+
t1 = n1 - 1.0
|
| 673 |
+
t2 = t1 / t0
|
| 674 |
+
answer = t2 + 1.0
|
| 675 |
+
print(answer)",MathQA_Geometry
|
| 676 |
+
Geometry,geometry,"the length of a rectangular field is 7 / 5 its width . if the perimeter of the field is 384 meters , what is the width of the field ?",80.0,"n0 = 7.0
|
| 677 |
+
n1 = 5.0
|
| 678 |
+
n2 = 384.0
|
| 679 |
+
t0 = n0 / n1
|
| 680 |
+
t1 = t0 + t0
|
| 681 |
+
t2 = t1 + 2.0
|
| 682 |
+
answer = n2 / t2
|
| 683 |
+
print(answer)",MathQA_Geometry
|
| 684 |
+
Geometry,geometry,the surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 12 cm each . the radius of the sphere is :,6.0,"import math
|
| 685 |
+
n0 = 12.0
|
| 686 |
+
t0 = n0 / 2.0
|
| 687 |
+
t1 = 4.0 * 3.141592653589793
|
| 688 |
+
t2 = n0 * t0
|
| 689 |
+
t3 = t2 * 3.141592653589793
|
| 690 |
+
t4 = t3 * 2.0
|
| 691 |
+
t5 = t4 / t1
|
| 692 |
+
answer = math.sqrt(max(0, t5))
|
| 693 |
+
print(answer)",MathQA_Geometry
|
| 694 |
+
Geometry,geometry,"a crate measures 7 feet by 8 feet by 12 feet on the inside . a stone pillar in the shape of a right circular cylinder must fit into the crate for shipping so that it rests upright when the crate sits on at least one of its six sides . what is the radius , in feet , of the pillar with the largest volume that could still fit in the crate ?",7.0,"n0 = 7.0
|
| 695 |
+
n1 = 8.0
|
| 696 |
+
n2 = 12.0
|
| 697 |
+
t0 = n1 * n2
|
| 698 |
+
t1 = n0 * t0
|
| 699 |
+
t2 = t1 / n2
|
| 700 |
+
answer = t2 / n1
|
| 701 |
+
print(answer)",MathQA_Geometry
|
| 702 |
+
Geometry,geometry,a semicircle has a radius of 14 . what is the approximate perimeter of the semicircle ?,71.9822971502571,"import math
|
| 703 |
+
n0 = 14.0
|
| 704 |
+
t0 = 2 * math.pi * n0
|
| 705 |
+
t1 = n0 * 2.0
|
| 706 |
+
t2 = t0 / 2.0
|
| 707 |
+
answer = t2 + t1
|
| 708 |
+
print(answer)",MathQA_Geometry
|
| 709 |
+
Geometry,geometry,"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",42.06195997410015,"n0 = 7.0
|
| 710 |
+
n1 = 7.0
|
| 711 |
+
t0 = n0 * 2.0
|
| 712 |
+
t1 = n0**min(2.0, 5)
|
| 713 |
+
t2 = t1 * 3.141592653589793
|
| 714 |
+
t3 = t0**min(2.0, 5)
|
| 715 |
+
answer = t3 - t2
|
| 716 |
+
print(answer)",MathQA_Geometry
|
| 717 |
+
Geometry,geometry,"the ratio of the areas of two squares , one having double its diagonal then the other is :",4.0,"t0 = 1 / 2.0
|
| 718 |
+
t1 = t0 * 4.0
|
| 719 |
+
answer = t1 / t0
|
| 720 |
+
print(answer)",MathQA_Geometry
|
| 721 |
+
Geometry,geometry,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,0.5860000000000001,"n0 = 1.414
|
| 722 |
+
|
| 723 |
+
answer = 2.0 - n0
|
| 724 |
+
print(answer)",MathQA_Geometry
|
| 725 |
+
Geometry,geometry,find the surface area of a 8 cm x 6 cm x 2 cm brick .,152.0,"n0 = 8.0
|
| 726 |
+
n1 = 6.0
|
| 727 |
+
n2 = 2.0
|
| 728 |
+
|
| 729 |
+
answer = 2 * (n0 * n1 + n0 * n2 + n1 * n2) # surface of a rectangular prism
|
| 730 |
+
print(answer)",MathQA_Geometry
|
| 731 |
+
Geometry,geometry,"in measuring the sides of a rectangle , one side is taken 5 % in excess , and the other 4 % in deficit . find the error percent in the error percent in the area calculated from these measurements .",0.8,"n0 = 5.0
|
| 732 |
+
n1 = 4.0
|
| 733 |
+
t0 = n0 * n1
|
| 734 |
+
t1 = n0 - n1
|
| 735 |
+
t2 = t0 / 100.0
|
| 736 |
+
answer = t1 - t2
|
| 737 |
+
print(answer)",MathQA_Geometry
|
| 738 |
+
Geometry,geometry,"the length of rectangle is thrice its breadth and its perimeter is 120 m , find the area of the rectangle ?",675.0,"n0 = 120.0
|
| 739 |
+
t0 = 2.0 * 3.0
|
| 740 |
+
t1 = 1.0 * 2.0
|
| 741 |
+
t2 = t0 + t1
|
| 742 |
+
t3 = n0 / t2
|
| 743 |
+
t4 = t3 * 3.0
|
| 744 |
+
answer = t3 * t4
|
| 745 |
+
print(answer)",MathQA_Geometry
|
| 746 |
+
Geometry,geometry,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 ?,81.99999999999999,"n0 = 40.0
|
| 747 |
+
n1 = 30.0
|
| 748 |
+
t0 = n0 / 100.0
|
| 749 |
+
t1 = n1 / 100.0
|
| 750 |
+
t2 = t0 + 1.0
|
| 751 |
+
t3 = t1 + 1.0
|
| 752 |
+
t4 = t2 * t3
|
| 753 |
+
t5 = t4 - 1.0
|
| 754 |
+
answer = t5 * 100.0
|
| 755 |
+
print(answer)",MathQA_Geometry
|
| 756 |
+
Geometry,geometry,"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 — 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 .",196.0,"n0 = 5.0
|
| 757 |
+
n1 = 100.0
|
| 758 |
+
n2 = 1.0
|
| 759 |
+
n3 = 500.0
|
| 760 |
+
t0 = n1 - 4.0
|
| 761 |
+
answer = t0 + 100.0
|
| 762 |
+
print(answer)",MathQA_Geometry
|
| 763 |
+
Geometry,geometry,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 ?,380.132711084365,"n0 = 45.0
|
| 764 |
+
n1 = 25.0
|
| 765 |
+
n2 = 22.0
|
| 766 |
+
t0 = n2**min(2.0, 5)
|
| 767 |
+
t1 = t0 * 3.141592653589793
|
| 768 |
+
answer = t1 / 4.0
|
| 769 |
+
print(answer)",MathQA_Geometry
|
| 770 |
+
Geometry,geometry,"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 ?",21.0,"n0 = 3.78
|
| 771 |
+
n1 = 5.25
|
| 772 |
+
t0 = n0 * 100.0
|
| 773 |
+
t1 = t0 / 3.0
|
| 774 |
+
t2 = t1 / 3.0
|
| 775 |
+
t3 = t2 / 3.0
|
| 776 |
+
t4 = t3 / 2.0
|
| 777 |
+
answer = t4 * 3.0
|
| 778 |
+
print(answer)",MathQA_Geometry
|
| 779 |
+
Geometry,geometry,"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 :",42.06195997410015,"import math
|
| 780 |
+
n0 = 14.0
|
| 781 |
+
t0 = n0 / 2.0
|
| 782 |
+
t1 = n0**2
|
| 783 |
+
t2 = math.pi * t0**2
|
| 784 |
+
answer = t1 - t2
|
| 785 |
+
print(answer)",MathQA_Geometry
|
III_Geometry/geometry_100.json
ADDED
|
@@ -0,0 +1,100 @@
|
|
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|
|
|
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|
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|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
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|
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|
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|
|
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|
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|
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|
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|
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|
|
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|
|
|
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|
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|
|
|
|
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|
|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
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|
|
|
|
|
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|
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|
|
|
|
|
|
|
|
|
|
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|
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|
|
|
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|
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|
|
|
|
|
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|
|
|
|
|
|
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|
|
|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
{"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"}
|
| 2 |
+
{"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"}
|
| 3 |
+
{"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"}
|
| 4 |
+
{"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"}
|
| 5 |
+
{"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"}
|
| 6 |
+
{"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"}
|
| 7 |
+
{"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"}
|
| 8 |
+
{"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"}
|
| 9 |
+
{"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"}
|
| 10 |
+
{"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"}
|
| 11 |
+
{"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"}
|
| 12 |
+
{"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"}
|
| 13 |
+
{"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"}
|
| 14 |
+
{"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"}
|
| 15 |
+
{"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"}
|
| 16 |
+
{"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"}
|
| 17 |
+
{"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"}
|
| 18 |
+
{"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"}
|
| 19 |
+
{"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"}
|
| 20 |
+
{"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"}
|
| 21 |
+
{"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"}
|
| 22 |
+
{"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"}
|
| 23 |
+
{"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"}
|
| 24 |
+
{"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"}
|
| 25 |
+
{"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"}
|
| 26 |
+
{"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"}
|
| 27 |
+
{"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"}
|
| 28 |
+
{"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"}
|
| 29 |
+
{"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"}
|
| 30 |
+
{"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"}
|
| 31 |
+
{"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"}
|
| 32 |
+
{"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"}
|
| 33 |
+
{"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"}
|
| 34 |
+
{"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"}
|
| 35 |
+
{"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"}
|
| 36 |
+
{"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"}
|
| 37 |
+
{"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"}
|
| 38 |
+
{"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"}
|
| 39 |
+
{"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"}
|
| 40 |
+
{"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"}
|
| 41 |
+
{"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"}
|
| 42 |
+
{"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"}
|
| 43 |
+
{"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"}
|
| 44 |
+
{"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"}
|
| 45 |
+
{"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"}
|
| 46 |
+
{"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"}
|
| 47 |
+
{"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"}
|
| 48 |
+
{"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"}
|
| 49 |
+
{"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"}
|
| 50 |
+
{"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"}
|
| 51 |
+
{"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"}
|
| 52 |
+
{"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"}
|
| 53 |
+
{"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"}
|
| 54 |
+
{"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"}
|
| 55 |
+
{"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"}
|
| 56 |
+
{"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"}
|
| 57 |
+
{"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"}
|
| 58 |
+
{"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"}
|
| 59 |
+
{"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"}
|
| 60 |
+
{"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"}
|
| 61 |
+
{"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"}
|
| 62 |
+
{"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"}
|
| 63 |
+
{"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"}
|
| 64 |
+
{"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"}
|
| 65 |
+
{"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"}
|
| 66 |
+
{"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"}
|
| 67 |
+
{"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"}
|
| 68 |
+
{"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"}
|
| 69 |
+
{"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"}
|
| 70 |
+
{"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"}
|
| 71 |
+
{"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"}
|
| 72 |
+
{"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"}
|
| 73 |
+
{"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"}
|
| 74 |
+
{"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"}
|
| 75 |
+
{"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"}
|
| 76 |
+
{"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"}
|
| 77 |
+
{"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"}
|
| 78 |
+
{"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"}
|
| 79 |
+
{"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"}
|
| 80 |
+
{"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"}
|
| 81 |
+
{"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"}
|
| 82 |
+
{"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"}
|
| 83 |
+
{"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"}
|
| 84 |
+
{"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"}
|
| 85 |
+
{"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"}
|
| 86 |
+
{"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"}
|
| 87 |
+
{"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"}
|
| 88 |
+
{"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"}
|
| 89 |
+
{"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"}
|
| 90 |
+
{"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"}
|
| 91 |
+
{"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"}
|
| 92 |
+
{"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"}
|
| 93 |
+
{"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"}
|
| 94 |
+
{"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"}
|
| 95 |
+
{"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"}
|
| 96 |
+
{"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"}
|
| 97 |
+
{"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"}
|
| 98 |
+
{"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"}
|
| 99 |
+
{"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"}
|
| 100 |
+
{"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"}
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| 1 |
+
category,subcategory,question,answer,reasoning,source
|
| 2 |
+
Word Problems,add_sub,"Paco 's Countertop Company purchased pieces of marble from a quarry . The weights of the pieces they purchased were 0.3333333333333333 ton , 0.3333333333333333 ton , and 0.08333333333333333 ton . How many tons of marble did Paco 's Countertop Company purchase in all ? ",0.75,X = 0.3333333333333333 + 0.3333333333333333 + 0.08333333333333333,AddSub
|
| 3 |
+
Word Problems,add_sub,"While playing a video game , Paul scored 3103 points . He and his cousin together have a total of 5816 points . How many points does Paul 's cousin have ? ",2713.0,X = 5816.0 - 3103.0,AddSub
|
| 4 |
+
Word Problems,add_sub,A worker at a medical lab is studying blood samples . 2 samples contained a total of 7341 blood cells . The first sample contained 4221 blood cells . How many blood cells were in the second sample ? ,3120.0,X = 7341.0 - 4221.0,AddSub
|
| 5 |
+
Word Problems,add_sub,Tim has 44 books . Sam has 52 books . How many books do they have together ? ,96.0,X = 44 + 52,AddSub
|
| 6 |
+
Word Problems,add_sub,"A ship full of grain crashes into a coral reef . By the time the ship is fixed , 49952 tons of grain have spilled into the water . Only 918 tons of grain remain onboard . How many tons of grain did the ship originally contain ? ",50870.0,X = 49952.0 + 918.0,AddSub
|
| 7 |
+
Word Problems,add_sub,"Joan 's high school played 864 baseball games this year , 128 of the games were played at night . She attended 395 games . How many baseball games did Joan miss ? ",469.0,X = 864 - 395,AddSub
|
| 8 |
+
Word Problems,add_sub,"Benny received 79 dollars and 9 movie tickets for his birthday . He went to a sporting goods store and bought a baseball glove , baseball , and bat . He had 32 dollars over , how much did he spent on the baseball gear ? ",47.0,X = 79 - 32,AddSub
|
| 9 |
+
Word Problems,add_sub,"Kevin bought 2 watermelons . The first watermelon was 9.91 pounds , and the second watermelon was 4.11 pounds . How many pounds of watermelon did Kevin buy ? ",14.02,X = 9.91 + 4.11,AddSub
|
| 10 |
+
Word Problems,add_sub,"Mary found 45 seashells , Melanie found 23 seashells , and Jason found 32 seashells on the beach . When they cleaned them , they discovered that 31 were cracked . How many seashells did they find together ? ",100.0,X = 45 + 23 + 32,AddSub
|
| 11 |
+
Word Problems,add_sub,There are 9 oak trees currently in the park . Park workers had to cut down 2 oak trees that were damaged . How many oak trees will the park have when the workers are finished ? ,7.0,X = 9 - 2,AddSub
|
| 12 |
+
Word Problems,add_sub,There are 9 pencils and 4 rulers in the drawer . Sally took 4 pencils out of the drawer . How many pencils are there now ? ,5.0,X = 9 - 4,AddSub
|
| 13 |
+
Word Problems,add_sub,"Alyssa went to 11 soccer games this year , but missed 12 . She went to 13 games last year and plans to go to 15 games next year . How many soccer games will Alyssa go to in all ? ",39.0,X = 11 + 13 + 15,AddSub
|
| 14 |
+
Word Problems,add_sub,"Michelle began her pizza delivery route with 0.5 tank of gas in her car . When she made it back to the pizzeria , 0.16666666666666666 tank of gas was . How much gas did Michelle use ? ",0.333333333333333,X = 0.5 - 0.16666666666666666,AddSub
|
| 15 |
+
Word Problems,add_sub,A restaurant served 9 hot dogs during lunch and 2 during dinner today . It served 5 of them yesterday . How many hot dogs were served today ? ,11.0,X = 9 + 2,AddSub
|
| 16 |
+
Word Problems,add_sub,A truck carrying 4.1 pounds of sand travels to a construction yard and loses 2.4 pounds of sand along the way . How much sand does the truck have when it arrives at the yard ? ,1.7000000000000002,X = 4.1 - 2.4,AddSub
|
| 17 |
+
Word Problems,add_sub,There are 43 maple trees and 22 orange trees currently in the park . Park workers will plant maple trees today . When the workers are finished there will be 54 maple trees in the park . How many maple trees did the workers plant today ? ,11.0,43 + X = 54,AddSub
|
| 18 |
+
Word Problems,add_sub,Gordon bought 3.42 pounds of fruit for a class party . The class ate 2.2 pounds of the fruit . How much fruit is ? ,1.22,X = 3.42 - 2.2,AddSub
|
| 19 |
+
Word Problems,add_sub,Joan picked 37 oranges and Sara picked 10 oranges . Alyssa picked 30 pears . How many oranges were picked in total ? ,47.0,X = 37 + 10,AddSub
|
| 20 |
+
Word Problems,add_sub,Jason has 18 books and he has read 9 of them . Mary has 42 books . How many books do they have together ? ,60.0,X = 18 + 42,AddSub
|
| 21 |
+
Word Problems,add_sub,Sally had 13 peaches at her roadside fruit dish . She went to the orchard and picked peaches to stock up . There are now 55 peaches . how many did she pick ? ,42.0,13 + X = 55,AddSub
|
| 22 |
+
Word Problems,add_sub,Sandy had 36 pennies and 31 nickels in her bank . Her dad borrowed 20 nickels from Sandy . How many nickels does she have now ? ,11.0,X = 31 - 20,AddSub
|
| 23 |
+
Word Problems,add_sub,Dan 's cat had kittens and 5 had spots . He gave 7 to Tim and 4 to Jason . He now has 5 kittens . How many kittens did he have to start with ? ,16.0,X - 7 - 4 = 5,AddSub
|
| 24 |
+
Word Problems,add_sub,There are 5 scissors and 3 pencils in the drawer . Jason placed 4 scissors in the drawer . How many scissors are now there in total ? ,9.0,X = 5 + 4,AddSub
|
| 25 |
+
Word Problems,add_sub,There are 7 dogwood trees currently in the park . Park workers will plant 5 dogwood trees today and 4 dogwood trees tomorrow . It took 8 workers to finish the work . How many dogwood trees will the park have when the workers are finished ? ,16.0,X = 7 + 5 + 4,AddSub
|
| 26 |
+
Word Problems,add_sub,"Jessica spent $ 10.22 on a cat toy , and a cage cost her $ 11.73 . What was the total cost of Jessica 's purchases ? ",21.95,X = 10.22 + 11.73,AddSub
|
| 27 |
+
Word Problems,add_sub,Jason has 676 Pokemon cards . Alyssa bought 224 of Jason 's Pokemon cards . How many Pokemon cards does Jason have now ? ,452.0,X = 676 - 224,AddSub
|
| 28 |
+
Word Problems,add_sub,"Alyssa has 37 blue balloons , Sandy has 28 blue balloons , and Sally has 39 blue balloons . How many blue balloons do they have in all ? ",104.0,X = 37 + 28 + 39,AddSub
|
| 29 |
+
Word Problems,add_sub,Sandy 's dog had 8 puppies and 4 had spots . She gave 4 to her friends . How many puppies does she now have ? ,4.0,X = 8 - 4,AddSub
|
| 30 |
+
Word Problems,add_sub,Sally had 8 pennies and 7 nickels in her bank . Her dad gave her 9 nickels and her mother gave her 2 nickels . How many nickels does Sally have now ? ,18.0,X = 7 + 9 + 2,AddSub
|
| 31 |
+
Word Problems,add_sub,"Joan spent $ 15 on shorts and $ 14.82 on a jacket , and $ 12.51 on a shirt . She went to 3 shops . In total , how much money did Joan spend on clothing ? ",42.33,X = 15 + 14.82 + 12.51,AddSub
|
| 32 |
+
Word Problems,add_sub,Tom found 5 seashells on the beach . he gave Jessica 2 of the seashells . How many seashells does he now have ? ,3.0,X = 5 - 2,AddSub
|
| 33 |
+
Word Problems,add_sub,Keith picked 3 pears and Jason picked 2 pears from the pear tree . Joan picked 5 apples from the apple tree . How many pears were picked in total ? ,5.0,X = 3 + 2,AddSub
|
| 34 |
+
Word Problems,add_sub,"There were a total of 8 football games this year , 4 are played at night . Keith missed 4 of the games . How many football games did Keith go to in total ? ",4.0,X = 8 - 4,AddSub
|
| 35 |
+
Word Problems,multi_step," Paul had saved up 4 dollars. If he received another 11 dollars for his allowance, how many 5 dollar toys could he buy? ",3.0,X=((4.0+11.0)/5.0),MultiArith
|
| 36 |
+
Word Problems,multi_step," While shopping for music online, Isabel bought 6 country albums and 2 pop albums. Each album came with a lyric sheet and had 9 songs. How many songs did Isabel buy total? ",72.0,X=(9.0*(6.0+2.0)),MultiArith
|
| 37 |
+
Word Problems,multi_step, Edward was working as a sacker at a grocery store where he made 6 dollars an hour. On Monday he worked 3 hours and on Tuesday he worked 5 hours. How much money did Edward make in those two days? ,48.0,X=(6.0*(3.0+5.0)),MultiArith
|
| 38 |
+
Word Problems,multi_step," Kaleb had 34 books. If he sold 17 of them and used the money he earned to buy 7 new books, how many books would Kaleb have? ",24.0,X=((34.0+7.0)-17.0),MultiArith
|
| 39 |
+
Word Problems,multi_step," Oliver made 35 dollars mowing lawns over the summer. If he spent 7 dollars buying new mower blades, how many 4 dollar games could he buy with the money he had left? ",7.0,X=((35.0-7.0)/4.0),MultiArith
|
| 40 |
+
Word Problems,multi_step," Mike is at the library helping put away books. There are 82 book to put away total but a librarian takes 10 of them and leaves Mike with the rest. If he can fit 9 books on a shelf, how many shelves will he need? ",8.0,X=((82.0-10.0)/9.0),MultiArith
|
| 41 |
+
Word Problems,multi_step," There are 58 students trying out for the school's trivia teams. If 10 of them didn't get picked for the team and the rest were put into 8 groups, how many students would be in each group? ",6.0,X=((58.0-10.0)/8.0),MultiArith
|
| 42 |
+
Word Problems,multi_step," Ned was trying to expand his game collection. He bought 11 games from a friend and bought 22 more at a garage sale. If 19 of the games didn't work, how many good games did he end up with? ",14.0,X=((11.0+22.0)-19.0),MultiArith
|
| 43 |
+
Word Problems,multi_step," Katie had 11 songs on her mp3 player. If she deleted 7 old songs from it and then added 24 new songs, how many songs does she have on her mp3 player? ",28.0,X=((11.0+24.0)-7.0),MultiArith
|
| 44 |
+
Word Problems,multi_step," A waiter had 6 tables he was waiting on, with 3 women and 5 men at each table. How many customers total did the waiter have? ",48.0,X=(6.0*(3.0+5.0)),MultiArith
|
| 45 |
+
Word Problems,multi_step," The school cafeteria had 14 apples. If they used 13 to make lunch for the students and then bought 49 more, how many apples would they have? ",50.0,X=((14.0+49.0)-13.0),MultiArith
|
| 46 |
+
Word Problems,multi_step, Chloe was unboxing some of her old winter clothes. She found 4 boxes of clothing and inside each box there were 2 scarves and 6 mittens. How many pieces of winter clothing did Chloe have total? ,32.0,X=(4.0*(2.0+6.0)),MultiArith
|
| 47 |
+
Word Problems,multi_step, Debby bought two coloring books. One had 16 pictures and the other had 40. After one week she had already colored 33 of the pictures. How many pictures does she still have to color? ,23.0,X=((16.0+40.0)-33.0),MultiArith
|
| 48 |
+
Word Problems,multi_step, Oliver had 35 dollars. For his birthday he got 50 more dollars but spent 84 on a new game. How much money does he have now? ,1.0,X=((35.0+50.0)-84.0),MultiArith
|
| 49 |
+
Word Problems,multi_step," Frank made 19 dollars mowing lawns over the summer. If he spent 11 dollars buying new mower blades, how many 2 dollar games could he buy with the money he had left? ",4.0,X=((19.0-11.0)/2.0),MultiArith
|
| 50 |
+
Word Problems,multi_step," Bianca and her mom were picking carrots from their garden. Bianca picked 26 and her mother picked 15. If only 16 of the carrots were good, how many bad carrots did they have? ",25.0,X=((26.0+15.0)-16.0),MultiArith
|
| 51 |
+
Word Problems,multi_step," The school cafeteria had 23 apples. If they used 20 to make lunch for the students and then bought 6 more, how many apples would they have? ",9.0,X=((23.0+6.0)-20.0),MultiArith
|
| 52 |
+
Word Problems,multi_step," The school cafeteria had 17 apples. If they used 2 to make lunch for the students and then bought 23 more, how many apples would they have? ",38.0,X=((17.0+23.0)-2.0),MultiArith
|
| 53 |
+
Word Problems,multi_step," A new building needed 10 windows. The builder had already installed 6 of them. If it takes 5 hours to install each window, how long will it take him to install the rest? ",20.0,X=(5.0*(10.0-6.0)),MultiArith
|
| 54 |
+
Word Problems,multi_step," While on vacation, Nancy took 49 pictures at the zoo and 8 at the museum. If she later deleted 38 of the pictures, how many pictures from her vacation did she still have? ",19.0,X=((49.0+8.0)-38.0),MultiArith
|
| 55 |
+
Word Problems,multi_step," There were 13 friends playing a video game online when 8 players quit. If each player left had 6 lives, how many lives did they have total? ",30.0,X=(6.0*(13.0-8.0)),MultiArith
|
| 56 |
+
Word Problems,multi_step," At the arcade Edward won 9 tickets. If he spent 4 tickets on a beanie and later won 4 more tickets, how many would he have? ",9.0,X=((9.0+4.0)-4.0),MultiArith
|
| 57 |
+
Word Problems,multi_step," Luke had 48 dollars in January. By March he had spent 11 dollars. If he got another 21 dollars from his mom, how much money would he have? ",58.0,X=((48.0+21.0)-11.0),MultiArith
|
| 58 |
+
Word Problems,multi_step," Roger had 25 books. If he sold 21 of them and used the money he earned to buy 30 new books, how many books would Roger have? ",34.0,X=((25.0+30.0)-21.0),MultiArith
|
| 59 |
+
Word Problems,multi_step," At the schools book fair Sam bought 13 adventure books and 17 mystery books. If 15 of the books were used, how many new books did he buy? ",15.0,X=((13.0+17.0)-15.0),MultiArith
|
| 60 |
+
Word Problems,multi_step," Bianca earned 5 points for each bag of cans she recycled. If she had 17 bags, but didn't recycle 8 of them, how many points would she have earned? ",45.0,X=(5.0*(17.0-8.0)),MultiArith
|
| 61 |
+
Word Problems,multi_step," At the town carnival Oliver rode the ferris wheel 5 times and the bumper cars 4 times. If each ride cost 7 tickets, how many tickets did he use? ",63.0,X=(7.0*(5.0+4.0)),MultiArith
|
| 62 |
+
Word Problems,multi_step," Dave was helping the cafeteria workers pick up lunch trays, but he could only carry 9 trays at a time. If he had to pick up 17 trays from one table and 55 trays from another, how many trips will he make? ",8.0,X=((17.0+55.0)/9.0),MultiArith
|
| 63 |
+
Word Problems,multi_step," A waiter at 'The Greasy Spoon' restaurant had 26 customers to wait on. During the lunch rush he added another 27 customers. If 27 of the customers didn't leave him a tip, how many customers did leave a tip? ",26.0,X=((26.0+27.0)-27.0),MultiArith
|
| 64 |
+
Word Problems,multi_step," A trivia team had 15 members total, but during a game 6 members didn't show up. If each member that did show up scored 3 points, how many points were scored total? ",27.0,X=(3.0*(15.0-6.0)),MultiArith
|
| 65 |
+
Word Problems,multi_step, A store had 120 coloring books in stock. They ended up putting them on sale and getting rid of 39 of them. The put the ones they still had onto shelves with 9 on each shelf. How many shelves did they use? ,9.0,X=((120.0-39.0)/9.0),MultiArith
|
| 66 |
+
Word Problems,multi_step," Adam had 48 books. If he sold 19 of them and used the money he earned to buy 38 new books, how many books would Adam have? ",67.0,X=((48.0+38.0)-19.0),MultiArith
|
| 67 |
+
Word Problems,multi_step," The cafeteria had 75 apples. For lunch they handed out 19 to students and decided to use the rest to make pies. If each pie takes 8 apples, how many pies could they make? ",7.0,X=((75.0-19.0)/8.0),MultiArith
|
| 68 |
+
Word Problems,challenge,The school is planning a field trip. The school has 67 classrooms. There are 66 students in each classroom in the school. If there are 6 seats on each school bus How many buses are needed to take the trip?,737.0,( 67.0 * ( 66.0 / 6.0 ) ),SVAMP
|
| 69 |
+
Word Problems,challenge,5 red peaches and 11 green peaches are in the basket. How many more green peaches than red peaches are in the basket?,6.0,( 11.0 - 5.0 ),SVAMP
|
| 70 |
+
Word Problems,challenge,Mom buys 51 white t - shirts. If white t - shirts can be purchased in packages of 3 How many packages will she have?,17.0,( 51.0 / 3.0 ),SVAMP
|
| 71 |
+
Word Problems,challenge,Emily is making bead necklaces for her friends. Each necklace takes 8 beads and she has 16 beads. How many necklaces can Emily make?,2.0,( 16.0 / 8.0 ),SVAMP
|
| 72 |
+
Word Problems,challenge,"7 red peaches, 71 yellow peaches and 8 green peaches are in the basket. How many more green peaches than red peaches are in the basket?",1.0,( 8.0 - 7.0 ),SVAMP
|
| 73 |
+
Word Problems,challenge,4 birds and 3 storks were sitting on the fence. 6 more storks came to join them. How many more storks than birds are sitting on the fence?,5.0,( ( 3.0 + 6.0 ) - 4.0 ),SVAMP
|
| 74 |
+
Word Problems,challenge,Jessie weighed 114 kilograms. After she started to go jogging everyday she lost 50 kilograms in the first week and 60 kilograms in the second week. How much does she weigh now?,4.0,( ( 114.0 - 50.0 ) - 60.0 ),SVAMP
|
| 75 |
+
Word Problems,challenge,We ordered some pizzas. Each pizza has 2 slices. If there were a total of 28 slices How many pizzas did we order?,14.0,( 28.0 / 2.0 ),SVAMP
|
| 76 |
+
Word Problems,challenge,Luke played a trivia game and scored 154 points. If he gained the 11 points in each round How many rounds did he play?,14.0,( 154.0 / 11.0 ),SVAMP
|
| 77 |
+
Word Problems,challenge,In Haley's class some boys love to play marbles. If Haley has 10 marbles and she gave 5 marbles to each boy How many boys did she give the marbles to?,2.0,( 10.0 / 5.0 ),SVAMP
|
| 78 |
+
Word Problems,challenge,Paco had 22 sweet cookies and 75 salty cookies. He ate 15 sweet cookies and 54 salty cookies. How many sweet cookies did Paco have left?,7.0,( 22.0 - 15.0 ),SVAMP
|
| 79 |
+
Word Problems,challenge,Randy has some blocks. He uses 52 blocks to build a tower. If there are 38 blocks left How many blocks did he have at the start?,90.0,( 52.0 + 38.0 ),SVAMP
|
| 80 |
+
Word Problems,challenge,The Ferris wheel in paradise park has 6 seats. Each seat can hold 14 people. If there are 16 people on the wheel right now How many more people can join the wheel?,68.0,( ( 6.0 * 14.0 ) - 16.0 ),SVAMP
|
| 81 |
+
Word Problems,challenge,Every day Ryan spends 6 hours on learning english and 5 hours on learning chinese. If he learns for 2 days How many hours does he spend on learning english in all?,12.0,( 6.0 * 2.0 ),SVAMP
|
| 82 |
+
Word Problems,challenge,Paul got a box of 457 erasers and 617 crayons for his birthday. At the end of the school year he only had 523 crayons left while not having lost a single eraser. How many more crayons than erasers did he have left?,66.0,( 523.0 - 457.0 ),SVAMP
|
| 83 |
+
Word Problems,challenge,Emily is making bead necklaces for her friends where each necklace takes 5 beads. She made 4 necklaces. How many beads did Emily have?,20.0,( 4.0 * 5.0 ),SVAMP
|
| 84 |
+
Word Problems,challenge,A grocery store had 4 bottles of diet soda. If they had 79 more bottles of regular soda than diet soda How many bottles of regular soda did they have?,83.0,( 4.0 + 79.0 ),SVAMP
|
| 85 |
+
Word Problems,challenge,There are 18 bananas in Philip's banana collection. If the bananas are organized into groups of size 2 How many groups are there?,9.0,( 18.0 / 2.0 ),SVAMP
|
| 86 |
+
Word Problems,challenge,Randy has 90 blocks. He uses 89 blocks to build a house and 63 blocks to build a tower. How many more blocks did he use to build the house than he did to build the tower?,26.0,( 89.0 - 63.0 ),SVAMP
|
| 87 |
+
Word Problems,challenge,For the walls of the house he would use 13 large planks of wood. If each plank of wood needs 17 pieces of nails to be secured and in addition 8 nails are needed for some smaller planks. How many nails does John need for the house wall?,229.0,( ( 13.0 * 17.0 ) + 8.0 ),SVAMP
|
| 88 |
+
Word Problems,challenge,Emily is making bead necklaces for her friends. She made 11 necklaces and each necklace takes 28 beads. How many beads did Emily have?,308.0,( 11.0 * 28.0 ),SVAMP
|
| 89 |
+
Word Problems,challenge,Baker made 110 cakes. He sold 75 of them. Then he made 76 more cakes. How many cakes would baker still have?,111.0,( ( 110.0 - 75.0 ) + 76.0 ),SVAMP
|
| 90 |
+
Word Problems,challenge,Josh had some marbles in his collection. He lost 21 marbles. If he has 12 marbles now How many marbles did he have in his collection?,33.0,( 21.0 + 12.0 ),SVAMP
|
| 91 |
+
Word Problems,challenge,Baker made 157 cakes and 169 pastries. If he sold 158 cakes and 147 pastries How many more cakes than pastries did baker sell?,11.0,( 158.0 - 147.0 ),SVAMP
|
| 92 |
+
Word Problems,challenge,Faye was placing her pencils into rows with 5 pencils in each row. If she had 35 pencils and 7 crayons How many rows could she make?,7.0,( 35.0 / 5.0 ),SVAMP
|
| 93 |
+
Word Problems,challenge,Rachel's tree had 4 apples initially. She picked some apples and now there are 2 apples left on the tree. How many apples did rachel pick?,2.0,( 4.0 - 2.0 ),SVAMP
|
| 94 |
+
Word Problems,challenge,If the cave is 919 feet deep and they need to travel 1307 feet How far is the end of the cave?,2226.0,( 919.0 + 1307.0 ),SVAMP
|
| 95 |
+
Word Problems,challenge,"7 red peaches, 15 yellow peaches and 8 green peaches are in the basket. How many peaches are in the basket?",30.0,( ( 7.0 + 15.0 ) + 8.0 ),SVAMP
|
| 96 |
+
Word Problems,challenge,Allan and Jake brought 3 balloons to the park. If Allan brought 2 balloons How many balloons did Jake bring to the park?,1.0,( 3.0 - 2.0 ),SVAMP
|
| 97 |
+
Word Problems,challenge,A farmer had 177 tomatoes and 12 potatoes in his garden. If he picked 53 tomatoes How many tomatoes and potatoes does he have left?,136.0,( ( 177.0 + 12.0 ) - 53.0 ),SVAMP
|
| 98 |
+
Word Problems,challenge,At the arcade Dave had won some tickets. He used 12 tickets to buy some toys. If he still has 14 tickets left How many tickets did Dave win at the arcade?,26.0,( 12.0 + 14.0 ),SVAMP
|
| 99 |
+
Word Problems,challenge,After resting they decided to go for a swim. The depth of the water is 5 times Ron's height. Dean is 11 feet shorter than Ron. If Ron stands at 12 feet How deep was the water?,60.0,( 12.0 * 5.0 ),SVAMP
|
| 100 |
+
Word Problems,challenge,Emily is making bead necklaces for her friends. She had 2 beads and she was able to make 32 necklaces. How many beads did each necklace need?,16.0,( 32.0 / 2.0 ),SVAMP
|
| 101 |
+
Word Problems,multi_step," The school cafeteria had 17 apples. If they used 2 to make lunch for the students and then bought 23 more, how many apples would they have? ",38.0,X=((17.0+23.0)-2.0),MultiArith
|
II_WordProblems/wordProblems_100.json
ADDED
|
@@ -0,0 +1,100 @@
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| 1 |
+
{"category":"Word Problems","subcategory":"add_sub","question":"Paco 's Countertop Company purchased pieces of marble from a quarry . The weights of the pieces they purchased were 0.3333333333333333 ton , 0.3333333333333333 ton , and 0.08333333333333333 ton . How many tons of marble did Paco 's Countertop Company purchase in all ? ","answer":0.75,"reasoning":"X = 0.3333333333333333 + 0.3333333333333333 + 0.08333333333333333","source":"AddSub"}
|
| 2 |
+
{"category":"Word Problems","subcategory":"add_sub","question":"While playing a video game , Paul scored 3103 points . He and his cousin together have a total of 5816 points . How many points does Paul 's cousin have ? ","answer":2713.0,"reasoning":"X = 5816.0 - 3103.0","source":"AddSub"}
|
| 3 |
+
{"category":"Word Problems","subcategory":"add_sub","question":"A worker at a medical lab is studying blood samples . 2 samples contained a total of 7341 blood cells . The first sample contained 4221 blood cells . How many blood cells were in the second sample ? ","answer":3120.0,"reasoning":"X = 7341.0 - 4221.0","source":"AddSub"}
|
| 4 |
+
{"category":"Word Problems","subcategory":"add_sub","question":"Tim has 44 books . Sam has 52 books . How many books do they have together ? ","answer":96.0,"reasoning":"X = 44 + 52","source":"AddSub"}
|
| 5 |
+
{"category":"Word Problems","subcategory":"add_sub","question":"A ship full of grain crashes into a coral reef . By the time the ship is fixed , 49952 tons of grain have spilled into the water . Only 918 tons of grain remain onboard . How many tons of grain did the ship originally contain ? ","answer":50870.0,"reasoning":"X = 49952.0 + 918.0","source":"AddSub"}
|
| 6 |
+
{"category":"Word Problems","subcategory":"add_sub","question":"Joan 's high school played 864 baseball games this year , 128 of the games were played at night . She attended 395 games . How many baseball games did Joan miss ? ","answer":469.0,"reasoning":"X = 864 - 395","source":"AddSub"}
|
| 7 |
+
{"category":"Word Problems","subcategory":"add_sub","question":"Benny received 79 dollars and 9 movie tickets for his birthday . He went to a sporting goods store and bought a baseball glove , baseball , and bat . He had 32 dollars over , how much did he spent on the baseball gear ? ","answer":47.0,"reasoning":"X = 79 - 32","source":"AddSub"}
|
| 8 |
+
{"category":"Word Problems","subcategory":"add_sub","question":"Kevin bought 2 watermelons . The first watermelon was 9.91 pounds , and the second watermelon was 4.11 pounds . How many pounds of watermelon did Kevin buy ? ","answer":14.02,"reasoning":"X = 9.91 + 4.11","source":"AddSub"}
|
| 9 |
+
{"category":"Word Problems","subcategory":"add_sub","question":"Mary found 45 seashells , Melanie found 23 seashells , and Jason found 32 seashells on the beach . When they cleaned them , they discovered that 31 were cracked . How many seashells did they find together ? ","answer":100.0,"reasoning":"X = 45 + 23 + 32","source":"AddSub"}
|
| 10 |
+
{"category":"Word Problems","subcategory":"add_sub","question":"There are 9 oak trees currently in the park . Park workers had to cut down 2 oak trees that were damaged . How many oak trees will the park have when the workers are finished ? ","answer":7.0,"reasoning":"X = 9 - 2","source":"AddSub"}
|
| 11 |
+
{"category":"Word Problems","subcategory":"add_sub","question":"There are 9 pencils and 4 rulers in the drawer . Sally took 4 pencils out of the drawer . How many pencils are there now ? ","answer":5.0,"reasoning":"X = 9 - 4","source":"AddSub"}
|
| 12 |
+
{"category":"Word Problems","subcategory":"add_sub","question":"Alyssa went to 11 soccer games this year , but missed 12 . She went to 13 games last year and plans to go to 15 games next year . How many soccer games will Alyssa go to in all ? ","answer":39.0,"reasoning":"X = 11 + 13 + 15","source":"AddSub"}
|
| 13 |
+
{"category":"Word Problems","subcategory":"add_sub","question":"Michelle began her pizza delivery route with 0.5 tank of gas in her car . When she made it back to the pizzeria , 0.16666666666666666 tank of gas was . How much gas did Michelle use ? ","answer":0.3333333333,"reasoning":"X = 0.5 - 0.16666666666666666","source":"AddSub"}
|
| 14 |
+
{"category":"Word Problems","subcategory":"add_sub","question":"A restaurant served 9 hot dogs during lunch and 2 during dinner today . It served 5 of them yesterday . How many hot dogs were served today ? ","answer":11.0,"reasoning":"X = 9 + 2","source":"AddSub"}
|
| 15 |
+
{"category":"Word Problems","subcategory":"add_sub","question":"A truck carrying 4.1 pounds of sand travels to a construction yard and loses 2.4 pounds of sand along the way . How much sand does the truck have when it arrives at the yard ? ","answer":1.7,"reasoning":"X = 4.1 - 2.4","source":"AddSub"}
|
| 16 |
+
{"category":"Word Problems","subcategory":"add_sub","question":"There are 43 maple trees and 22 orange trees currently in the park . Park workers will plant maple trees today . When the workers are finished there will be 54 maple trees in the park . How many maple trees did the workers plant today ? ","answer":11.0,"reasoning":"43 + X = 54","source":"AddSub"}
|
| 17 |
+
{"category":"Word Problems","subcategory":"add_sub","question":"Gordon bought 3.42 pounds of fruit for a class party . The class ate 2.2 pounds of the fruit . How much fruit is ? ","answer":1.22,"reasoning":"X = 3.42 - 2.2","source":"AddSub"}
|
| 18 |
+
{"category":"Word Problems","subcategory":"add_sub","question":"Joan picked 37 oranges and Sara picked 10 oranges . Alyssa picked 30 pears . How many oranges were picked in total ? ","answer":47.0,"reasoning":"X = 37 + 10","source":"AddSub"}
|
| 19 |
+
{"category":"Word Problems","subcategory":"add_sub","question":"Jason has 18 books and he has read 9 of them . Mary has 42 books . How many books do they have together ? ","answer":60.0,"reasoning":"X = 18 + 42","source":"AddSub"}
|
| 20 |
+
{"category":"Word Problems","subcategory":"add_sub","question":"Sally had 13 peaches at her roadside fruit dish . She went to the orchard and picked peaches to stock up . There are now 55 peaches . how many did she pick ? ","answer":42.0,"reasoning":"13 + X = 55","source":"AddSub"}
|
| 21 |
+
{"category":"Word Problems","subcategory":"add_sub","question":"Sandy had 36 pennies and 31 nickels in her bank . Her dad borrowed 20 nickels from Sandy . How many nickels does she have now ? ","answer":11.0,"reasoning":"X = 31 - 20","source":"AddSub"}
|
| 22 |
+
{"category":"Word Problems","subcategory":"add_sub","question":"Dan 's cat had kittens and 5 had spots . He gave 7 to Tim and 4 to Jason . He now has 5 kittens . How many kittens did he have to start with ? ","answer":16.0,"reasoning":"X - 7 - 4 = 5","source":"AddSub"}
|
| 23 |
+
{"category":"Word Problems","subcategory":"add_sub","question":"There are 5 scissors and 3 pencils in the drawer . Jason placed 4 scissors in the drawer . How many scissors are now there in total ? ","answer":9.0,"reasoning":"X = 5 + 4","source":"AddSub"}
|
| 24 |
+
{"category":"Word Problems","subcategory":"add_sub","question":"There are 7 dogwood trees currently in the park . Park workers will plant 5 dogwood trees today and 4 dogwood trees tomorrow . It took 8 workers to finish the work . How many dogwood trees will the park have when the workers are finished ? ","answer":16.0,"reasoning":"X = 7 + 5 + 4","source":"AddSub"}
|
| 25 |
+
{"category":"Word Problems","subcategory":"add_sub","question":"Jessica spent $ 10.22 on a cat toy , and a cage cost her $ 11.73 . What was the total cost of Jessica 's purchases ? ","answer":21.95,"reasoning":"X = 10.22 + 11.73","source":"AddSub"}
|
| 26 |
+
{"category":"Word Problems","subcategory":"add_sub","question":"Jason has 676 Pokemon cards . Alyssa bought 224 of Jason 's Pokemon cards . How many Pokemon cards does Jason have now ? ","answer":452.0,"reasoning":"X = 676 - 224","source":"AddSub"}
|
| 27 |
+
{"category":"Word Problems","subcategory":"add_sub","question":"Alyssa has 37 blue balloons , Sandy has 28 blue balloons , and Sally has 39 blue balloons . How many blue balloons do they have in all ? ","answer":104.0,"reasoning":"X = 37 + 28 + 39","source":"AddSub"}
|
| 28 |
+
{"category":"Word Problems","subcategory":"add_sub","question":"Sandy 's dog had 8 puppies and 4 had spots . She gave 4 to her friends . How many puppies does she now have ? ","answer":4.0,"reasoning":"X = 8 - 4","source":"AddSub"}
|
| 29 |
+
{"category":"Word Problems","subcategory":"add_sub","question":"Sally had 8 pennies and 7 nickels in her bank . Her dad gave her 9 nickels and her mother gave her 2 nickels . How many nickels does Sally have now ? ","answer":18.0,"reasoning":"X = 7 + 9 + 2","source":"AddSub"}
|
| 30 |
+
{"category":"Word Problems","subcategory":"add_sub","question":"Joan spent $ 15 on shorts and $ 14.82 on a jacket , and $ 12.51 on a shirt . She went to 3 shops . In total , how much money did Joan spend on clothing ? ","answer":42.33,"reasoning":"X = 15 + 14.82 + 12.51","source":"AddSub"}
|
| 31 |
+
{"category":"Word Problems","subcategory":"add_sub","question":"Tom found 5 seashells on the beach . he gave Jessica 2 of the seashells . How many seashells does he now have ? ","answer":3.0,"reasoning":"X = 5 - 2","source":"AddSub"}
|
| 32 |
+
{"category":"Word Problems","subcategory":"add_sub","question":"Keith picked 3 pears and Jason picked 2 pears from the pear tree . Joan picked 5 apples from the apple tree . How many pears were picked in total ? ","answer":5.0,"reasoning":"X = 3 + 2","source":"AddSub"}
|
| 33 |
+
{"category":"Word Problems","subcategory":"add_sub","question":"There were a total of 8 football games this year , 4 are played at night . Keith missed 4 of the games . How many football games did Keith go to in total ? ","answer":4.0,"reasoning":"X = 8 - 4","source":"AddSub"}
|
| 34 |
+
{"category":"Word Problems","subcategory":"multi_step","question":" Paul had saved up 4 dollars. If he received another 11 dollars for his allowance, how many 5 dollar toys could he buy? ","answer":3.0,"reasoning":"X=((4.0+11.0)\/5.0)","source":"MultiArith"}
|
| 35 |
+
{"category":"Word Problems","subcategory":"multi_step","question":" While shopping for music online, Isabel bought 6 country albums and 2 pop albums. Each album came with a lyric sheet and had 9 songs. How many songs did Isabel buy total? ","answer":72.0,"reasoning":"X=(9.0*(6.0+2.0))","source":"MultiArith"}
|
| 36 |
+
{"category":"Word Problems","subcategory":"multi_step","question":" Edward was working as a sacker at a grocery store where he made 6 dollars an hour. On Monday he worked 3 hours and on Tuesday he worked 5 hours. How much money did Edward make in those two days? ","answer":48.0,"reasoning":"X=(6.0*(3.0+5.0))","source":"MultiArith"}
|
| 37 |
+
{"category":"Word Problems","subcategory":"multi_step","question":" Kaleb had 34 books. If he sold 17 of them and used the money he earned to buy 7 new books, how many books would Kaleb have? ","answer":24.0,"reasoning":"X=((34.0+7.0)-17.0)","source":"MultiArith"}
|
| 38 |
+
{"category":"Word Problems","subcategory":"multi_step","question":" Oliver made 35 dollars mowing lawns over the summer. If he spent 7 dollars buying new mower blades, how many 4 dollar games could he buy with the money he had left? ","answer":7.0,"reasoning":"X=((35.0-7.0)\/4.0)","source":"MultiArith"}
|
| 39 |
+
{"category":"Word Problems","subcategory":"multi_step","question":" Mike is at the library helping put away books. There are 82 book to put away total but a librarian takes 10 of them and leaves Mike with the rest. If he can fit 9 books on a shelf, how many shelves will he need? ","answer":8.0,"reasoning":"X=((82.0-10.0)\/9.0)","source":"MultiArith"}
|
| 40 |
+
{"category":"Word Problems","subcategory":"multi_step","question":" There are 58 students trying out for the school's trivia teams. If 10 of them didn't get picked for the team and the rest were put into 8 groups, how many students would be in each group? ","answer":6.0,"reasoning":"X=((58.0-10.0)\/8.0)","source":"MultiArith"}
|
| 41 |
+
{"category":"Word Problems","subcategory":"multi_step","question":" Ned was trying to expand his game collection. He bought 11 games from a friend and bought 22 more at a garage sale. If 19 of the games didn't work, how many good games did he end up with? ","answer":14.0,"reasoning":"X=((11.0+22.0)-19.0)","source":"MultiArith"}
|
| 42 |
+
{"category":"Word Problems","subcategory":"multi_step","question":" Katie had 11 songs on her mp3 player. If she deleted 7 old songs from it and then added 24 new songs, how many songs does she have on her mp3 player? ","answer":28.0,"reasoning":"X=((11.0+24.0)-7.0)","source":"MultiArith"}
|
| 43 |
+
{"category":"Word Problems","subcategory":"multi_step","question":" A waiter had 6 tables he was waiting on, with 3 women and 5 men at each table. How many customers total did the waiter have? ","answer":48.0,"reasoning":"X=(6.0*(3.0+5.0))","source":"MultiArith"}
|
| 44 |
+
{"category":"Word Problems","subcategory":"multi_step","question":" The school cafeteria had 14 apples. If they used 13 to make lunch for the students and then bought 49 more, how many apples would they have? ","answer":50.0,"reasoning":"X=((14.0+49.0)-13.0)","source":"MultiArith"}
|
| 45 |
+
{"category":"Word Problems","subcategory":"multi_step","question":" Chloe was unboxing some of her old winter clothes. She found 4 boxes of clothing and inside each box there were 2 scarves and 6 mittens. How many pieces of winter clothing did Chloe have total? ","answer":32.0,"reasoning":"X=(4.0*(2.0+6.0))","source":"MultiArith"}
|
| 46 |
+
{"category":"Word Problems","subcategory":"multi_step","question":" Debby bought two coloring books. One had 16 pictures and the other had 40. After one week she had already colored 33 of the pictures. How many pictures does she still have to color? ","answer":23.0,"reasoning":"X=((16.0+40.0)-33.0)","source":"MultiArith"}
|
| 47 |
+
{"category":"Word Problems","subcategory":"multi_step","question":" Oliver had 35 dollars. For his birthday he got 50 more dollars but spent 84 on a new game. How much money does he have now? ","answer":1.0,"reasoning":"X=((35.0+50.0)-84.0)","source":"MultiArith"}
|
| 48 |
+
{"category":"Word Problems","subcategory":"multi_step","question":" Frank made 19 dollars mowing lawns over the summer. If he spent 11 dollars buying new mower blades, how many 2 dollar games could he buy with the money he had left? ","answer":4.0,"reasoning":"X=((19.0-11.0)\/2.0)","source":"MultiArith"}
|
| 49 |
+
{"category":"Word Problems","subcategory":"multi_step","question":" Bianca and her mom were picking carrots from their garden. Bianca picked 26 and her mother picked 15. If only 16 of the carrots were good, how many bad carrots did they have? ","answer":25.0,"reasoning":"X=((26.0+15.0)-16.0)","source":"MultiArith"}
|
| 50 |
+
{"category":"Word Problems","subcategory":"multi_step","question":" The school cafeteria had 23 apples. If they used 20 to make lunch for the students and then bought 6 more, how many apples would they have? ","answer":9.0,"reasoning":"X=((23.0+6.0)-20.0)","source":"MultiArith"}
|
| 51 |
+
{"category":"Word Problems","subcategory":"multi_step","question":" The school cafeteria had 17 apples. If they used 2 to make lunch for the students and then bought 23 more, how many apples would they have? ","answer":38.0,"reasoning":"X=((17.0+23.0)-2.0)","source":"MultiArith"}
|
| 52 |
+
{"category":"Word Problems","subcategory":"multi_step","question":" A new building needed 10 windows. The builder had already installed 6 of them. If it takes 5 hours to install each window, how long will it take him to install the rest? ","answer":20.0,"reasoning":"X=(5.0*(10.0-6.0))","source":"MultiArith"}
|
| 53 |
+
{"category":"Word Problems","subcategory":"multi_step","question":" While on vacation, Nancy took 49 pictures at the zoo and 8 at the museum. If she later deleted 38 of the pictures, how many pictures from her vacation did she still have? ","answer":19.0,"reasoning":"X=((49.0+8.0)-38.0)","source":"MultiArith"}
|
| 54 |
+
{"category":"Word Problems","subcategory":"multi_step","question":" There were 13 friends playing a video game online when 8 players quit. If each player left had 6 lives, how many lives did they have total? ","answer":30.0,"reasoning":"X=(6.0*(13.0-8.0))","source":"MultiArith"}
|
| 55 |
+
{"category":"Word Problems","subcategory":"multi_step","question":" At the arcade Edward won 9 tickets. If he spent 4 tickets on a beanie and later won 4 more tickets, how many would he have? ","answer":9.0,"reasoning":"X=((9.0+4.0)-4.0)","source":"MultiArith"}
|
| 56 |
+
{"category":"Word Problems","subcategory":"multi_step","question":" Luke had 48 dollars in January. By March he had spent 11 dollars. If he got another 21 dollars from his mom, how much money would he have? ","answer":58.0,"reasoning":"X=((48.0+21.0)-11.0)","source":"MultiArith"}
|
| 57 |
+
{"category":"Word Problems","subcategory":"multi_step","question":" Roger had 25 books. If he sold 21 of them and used the money he earned to buy 30 new books, how many books would Roger have? ","answer":34.0,"reasoning":"X=((25.0+30.0)-21.0)","source":"MultiArith"}
|
| 58 |
+
{"category":"Word Problems","subcategory":"multi_step","question":" At the schools book fair Sam bought 13 adventure books and 17 mystery books. If 15 of the books were used, how many new books did he buy? ","answer":15.0,"reasoning":"X=((13.0+17.0)-15.0)","source":"MultiArith"}
|
| 59 |
+
{"category":"Word Problems","subcategory":"multi_step","question":" Bianca earned 5 points for each bag of cans she recycled. If she had 17 bags, but didn't recycle 8 of them, how many points would she have earned? ","answer":45.0,"reasoning":"X=(5.0*(17.0-8.0))","source":"MultiArith"}
|
| 60 |
+
{"category":"Word Problems","subcategory":"multi_step","question":" At the town carnival Oliver rode the ferris wheel 5 times and the bumper cars 4 times. If each ride cost 7 tickets, how many tickets did he use? ","answer":63.0,"reasoning":"X=(7.0*(5.0+4.0))","source":"MultiArith"}
|
| 61 |
+
{"category":"Word Problems","subcategory":"multi_step","question":" Dave was helping the cafeteria workers pick up lunch trays, but he could only carry 9 trays at a time. If he had to pick up 17 trays from one table and 55 trays from another, how many trips will he make? ","answer":8.0,"reasoning":"X=((17.0+55.0)\/9.0)","source":"MultiArith"}
|
| 62 |
+
{"category":"Word Problems","subcategory":"multi_step","question":" A waiter at 'The Greasy Spoon' restaurant had 26 customers to wait on. During the lunch rush he added another 27 customers. If 27 of the customers didn't leave him a tip, how many customers did leave a tip? ","answer":26.0,"reasoning":"X=((26.0+27.0)-27.0)","source":"MultiArith"}
|
| 63 |
+
{"category":"Word Problems","subcategory":"multi_step","question":" A trivia team had 15 members total, but during a game 6 members didn't show up. If each member that did show up scored 3 points, how many points were scored total? ","answer":27.0,"reasoning":"X=(3.0*(15.0-6.0))","source":"MultiArith"}
|
| 64 |
+
{"category":"Word Problems","subcategory":"multi_step","question":" A store had 120 coloring books in stock. They ended up putting them on sale and getting rid of 39 of them. The put the ones they still had onto shelves with 9 on each shelf. How many shelves did they use? ","answer":9.0,"reasoning":"X=((120.0-39.0)\/9.0)","source":"MultiArith"}
|
| 65 |
+
{"category":"Word Problems","subcategory":"multi_step","question":" Adam had 48 books. If he sold 19 of them and used the money he earned to buy 38 new books, how many books would Adam have? ","answer":67.0,"reasoning":"X=((48.0+38.0)-19.0)","source":"MultiArith"}
|
| 66 |
+
{"category":"Word Problems","subcategory":"multi_step","question":" The cafeteria had 75 apples. For lunch they handed out 19 to students and decided to use the rest to make pies. If each pie takes 8 apples, how many pies could they make? ","answer":7.0,"reasoning":"X=((75.0-19.0)\/8.0)","source":"MultiArith"}
|
| 67 |
+
{"category":"Word Problems","subcategory":"challenge","question":"The school is planning a field trip. The school has 67 classrooms. There are 66 students in each classroom in the school. If there are 6 seats on each school bus How many buses are needed to take the trip?","answer":737.0,"reasoning":"( 67.0 * ( 66.0 \/ 6.0 ) )","source":"SVAMP"}
|
| 68 |
+
{"category":"Word Problems","subcategory":"challenge","question":"5 red peaches and 11 green peaches are in the basket. How many more green peaches than red peaches are in the basket?","answer":6.0,"reasoning":"( 11.0 - 5.0 )","source":"SVAMP"}
|
| 69 |
+
{"category":"Word Problems","subcategory":"challenge","question":"Mom buys 51 white t - shirts. If white t - shirts can be purchased in packages of 3 How many packages will she have?","answer":17.0,"reasoning":"( 51.0 \/ 3.0 )","source":"SVAMP"}
|
| 70 |
+
{"category":"Word Problems","subcategory":"challenge","question":"Emily is making bead necklaces for her friends. Each necklace takes 8 beads and she has 16 beads. How many necklaces can Emily make?","answer":2.0,"reasoning":"( 16.0 \/ 8.0 )","source":"SVAMP"}
|
| 71 |
+
{"category":"Word Problems","subcategory":"challenge","question":"7 red peaches, 71 yellow peaches and 8 green peaches are in the basket. How many more green peaches than red peaches are in the basket?","answer":1.0,"reasoning":"( 8.0 - 7.0 )","source":"SVAMP"}
|
| 72 |
+
{"category":"Word Problems","subcategory":"challenge","question":"4 birds and 3 storks were sitting on the fence. 6 more storks came to join them. How many more storks than birds are sitting on the fence?","answer":5.0,"reasoning":"( ( 3.0 + 6.0 ) - 4.0 )","source":"SVAMP"}
|
| 73 |
+
{"category":"Word Problems","subcategory":"challenge","question":"Jessie weighed 114 kilograms. After she started to go jogging everyday she lost 50 kilograms in the first week and 60 kilograms in the second week. How much does she weigh now?","answer":4.0,"reasoning":"( ( 114.0 - 50.0 ) - 60.0 )","source":"SVAMP"}
|
| 74 |
+
{"category":"Word Problems","subcategory":"challenge","question":"We ordered some pizzas. Each pizza has 2 slices. If there were a total of 28 slices How many pizzas did we order?","answer":14.0,"reasoning":"( 28.0 \/ 2.0 )","source":"SVAMP"}
|
| 75 |
+
{"category":"Word Problems","subcategory":"challenge","question":"Luke played a trivia game and scored 154 points. If he gained the 11 points in each round How many rounds did he play?","answer":14.0,"reasoning":"( 154.0 \/ 11.0 )","source":"SVAMP"}
|
| 76 |
+
{"category":"Word Problems","subcategory":"challenge","question":"In Haley's class some boys love to play marbles. If Haley has 10 marbles and she gave 5 marbles to each boy How many boys did she give the marbles to?","answer":2.0,"reasoning":"( 10.0 \/ 5.0 )","source":"SVAMP"}
|
| 77 |
+
{"category":"Word Problems","subcategory":"challenge","question":"Paco had 22 sweet cookies and 75 salty cookies. He ate 15 sweet cookies and 54 salty cookies. How many sweet cookies did Paco have left?","answer":7.0,"reasoning":"( 22.0 - 15.0 )","source":"SVAMP"}
|
| 78 |
+
{"category":"Word Problems","subcategory":"challenge","question":"Randy has some blocks. He uses 52 blocks to build a tower. If there are 38 blocks left How many blocks did he have at the start?","answer":90.0,"reasoning":"( 52.0 + 38.0 )","source":"SVAMP"}
|
| 79 |
+
{"category":"Word Problems","subcategory":"challenge","question":"The Ferris wheel in paradise park has 6 seats. Each seat can hold 14 people. If there are 16 people on the wheel right now How many more people can join the wheel?","answer":68.0,"reasoning":"( ( 6.0 * 14.0 ) - 16.0 )","source":"SVAMP"}
|
| 80 |
+
{"category":"Word Problems","subcategory":"challenge","question":"Every day Ryan spends 6 hours on learning english and 5 hours on learning chinese. If he learns for 2 days How many hours does he spend on learning english in all?","answer":12.0,"reasoning":"( 6.0 * 2.0 )","source":"SVAMP"}
|
| 81 |
+
{"category":"Word Problems","subcategory":"challenge","question":"Paul got a box of 457 erasers and 617 crayons for his birthday. At the end of the school year he only had 523 crayons left while not having lost a single eraser. How many more crayons than erasers did he have left?","answer":66.0,"reasoning":"( 523.0 - 457.0 )","source":"SVAMP"}
|
| 82 |
+
{"category":"Word Problems","subcategory":"challenge","question":"Emily is making bead necklaces for her friends where each necklace takes 5 beads. She made 4 necklaces. How many beads did Emily have?","answer":20.0,"reasoning":"( 4.0 * 5.0 )","source":"SVAMP"}
|
| 83 |
+
{"category":"Word Problems","subcategory":"challenge","question":"A grocery store had 4 bottles of diet soda. If they had 79 more bottles of regular soda than diet soda How many bottles of regular soda did they have?","answer":83.0,"reasoning":"( 4.0 + 79.0 )","source":"SVAMP"}
|
| 84 |
+
{"category":"Word Problems","subcategory":"challenge","question":"There are 18 bananas in Philip's banana collection. If the bananas are organized into groups of size 2 How many groups are there?","answer":9.0,"reasoning":"( 18.0 \/ 2.0 )","source":"SVAMP"}
|
| 85 |
+
{"category":"Word Problems","subcategory":"challenge","question":"Randy has 90 blocks. He uses 89 blocks to build a house and 63 blocks to build a tower. How many more blocks did he use to build the house than he did to build the tower?","answer":26.0,"reasoning":"( 89.0 - 63.0 )","source":"SVAMP"}
|
| 86 |
+
{"category":"Word Problems","subcategory":"challenge","question":"For the walls of the house he would use 13 large planks of wood. If each plank of wood needs 17 pieces of nails to be secured and in addition 8 nails are needed for some smaller planks. How many nails does John need for the house wall?","answer":229.0,"reasoning":"( ( 13.0 * 17.0 ) + 8.0 )","source":"SVAMP"}
|
| 87 |
+
{"category":"Word Problems","subcategory":"challenge","question":"Emily is making bead necklaces for her friends. She made 11 necklaces and each necklace takes 28 beads. How many beads did Emily have?","answer":308.0,"reasoning":"( 11.0 * 28.0 )","source":"SVAMP"}
|
| 88 |
+
{"category":"Word Problems","subcategory":"challenge","question":"Baker made 110 cakes. He sold 75 of them. Then he made 76 more cakes. How many cakes would baker still have?","answer":111.0,"reasoning":"( ( 110.0 - 75.0 ) + 76.0 )","source":"SVAMP"}
|
| 89 |
+
{"category":"Word Problems","subcategory":"challenge","question":"Josh had some marbles in his collection. He lost 21 marbles. If he has 12 marbles now How many marbles did he have in his collection?","answer":33.0,"reasoning":"( 21.0 + 12.0 )","source":"SVAMP"}
|
| 90 |
+
{"category":"Word Problems","subcategory":"challenge","question":"Baker made 157 cakes and 169 pastries. If he sold 158 cakes and 147 pastries How many more cakes than pastries did baker sell?","answer":11.0,"reasoning":"( 158.0 - 147.0 )","source":"SVAMP"}
|
| 91 |
+
{"category":"Word Problems","subcategory":"challenge","question":"Faye was placing her pencils into rows with 5 pencils in each row. If she had 35 pencils and 7 crayons How many rows could she make?","answer":7.0,"reasoning":"( 35.0 \/ 5.0 )","source":"SVAMP"}
|
| 92 |
+
{"category":"Word Problems","subcategory":"challenge","question":"Rachel's tree had 4 apples initially. She picked some apples and now there are 2 apples left on the tree. How many apples did rachel pick?","answer":2.0,"reasoning":"( 4.0 - 2.0 )","source":"SVAMP"}
|
| 93 |
+
{"category":"Word Problems","subcategory":"challenge","question":"If the cave is 919 feet deep and they need to travel 1307 feet How far is the end of the cave?","answer":2226.0,"reasoning":"( 919.0 + 1307.0 )","source":"SVAMP"}
|
| 94 |
+
{"category":"Word Problems","subcategory":"challenge","question":"7 red peaches, 15 yellow peaches and 8 green peaches are in the basket. How many peaches are in the basket?","answer":30.0,"reasoning":"( ( 7.0 + 15.0 ) + 8.0 )","source":"SVAMP"}
|
| 95 |
+
{"category":"Word Problems","subcategory":"challenge","question":"Allan and Jake brought 3 balloons to the park. If Allan brought 2 balloons How many balloons did Jake bring to the park?","answer":1.0,"reasoning":"( 3.0 - 2.0 )","source":"SVAMP"}
|
| 96 |
+
{"category":"Word Problems","subcategory":"challenge","question":"A farmer had 177 tomatoes and 12 potatoes in his garden. If he picked 53 tomatoes How many tomatoes and potatoes does he have left?","answer":136.0,"reasoning":"( ( 177.0 + 12.0 ) - 53.0 )","source":"SVAMP"}
|
| 97 |
+
{"category":"Word Problems","subcategory":"challenge","question":"At the arcade Dave had won some tickets. He used 12 tickets to buy some toys. If he still has 14 tickets left How many tickets did Dave win at the arcade?","answer":26.0,"reasoning":"( 12.0 + 14.0 )","source":"SVAMP"}
|
| 98 |
+
{"category":"Word Problems","subcategory":"challenge","question":"After resting they decided to go for a swim. The depth of the water is 5 times Ron's height. Dean is 11 feet shorter than Ron. If Ron stands at 12 feet How deep was the water?","answer":60.0,"reasoning":"( 12.0 * 5.0 )","source":"SVAMP"}
|
| 99 |
+
{"category":"Word Problems","subcategory":"challenge","question":"Emily is making bead necklaces for her friends. She had 2 beads and she was able to make 32 necklaces. How many beads did each necklace need?","answer":16.0,"reasoning":"( 32.0 \/ 2.0 )","source":"SVAMP"}
|
| 100 |
+
{"category":"Word Problems","subcategory":"multi_step","question":" The school cafeteria had 17 apples. If they used 2 to make lunch for the students and then bought 23 more, how many apples would they have? ","answer":38.0,"reasoning":"X=((17.0+23.0)-2.0)","source":"MultiArith"}
|
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I_Arithmetic/arithmetic_100.csv
ADDED
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@@ -0,0 +1,101 @@
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| 1 |
+
category,subcategory,question,answer,reasoning,source
|
| 2 |
+
Arithmetic,arithmetic_mixed,0.1*3.0=,0.3,,Math-401
|
| 3 |
+
Arithmetic,arithmetic_mixed,88254×26228=,2314725912.0,,Math-401
|
| 4 |
+
Arithmetic,arithmetic_mixed,37739*66015=,2491340085.0,,Math-401
|
| 5 |
+
Arithmetic,arithmetic_mixed,5^4=,625.0,,Math-401
|
| 6 |
+
Arithmetic,arithmetic_mixed,721-847=,-126.0,,Math-401
|
| 7 |
+
Arithmetic,arithmetic_mixed,774426524175+721318944497=,1495745468672.0,,Math-401
|
| 8 |
+
Arithmetic,arithmetic_mixed,7^4=,2401.0,,Math-401
|
| 9 |
+
Arithmetic,sequence_next_term,"What is next in 1964, 3923, 5880, 7835?",9788.0,,Mathematics Dataset (Google DeepMind)
|
| 10 |
+
Arithmetic,sequence_next_term,"What comes next: 17, 49, 129, 281, 529, 897, 1409?",2089.0,,Mathematics Dataset (Google DeepMind)
|
| 11 |
+
Arithmetic,sequence_next_term,"What is the next term in -1691, -1690, -1689, -1688?",-1687.0,,Mathematics Dataset (Google DeepMind)
|
| 12 |
+
Arithmetic,sequence_next_term,"What is the next term in -1341, -2675, -3997, -5301, -6581, -7831?",-9045.0,,Mathematics Dataset (Google DeepMind)
|
| 13 |
+
Arithmetic,sequence_next_term,"What is the next term in 12, 24, 38, 54, 72, 92, 114?",138.0,,Mathematics Dataset (Google DeepMind)
|
| 14 |
+
Arithmetic,sequence_next_term,"What is the next term in 1070, 4273, 9610, 17081?",26686.0,,Mathematics Dataset (Google DeepMind)
|
| 15 |
+
Arithmetic,sequence_next_term,"What comes next: -75, -80, -85, -90?",-95.0,,Mathematics Dataset (Google DeepMind)
|
| 16 |
+
Arithmetic,add_or_sub,Calculate -13 - 40.103.,-53.103,,Mathematics Dataset (Google DeepMind)
|
| 17 |
+
Arithmetic,add_or_sub,Add together -18.766737 and -0.5.,-19.266737,,Mathematics Dataset (Google DeepMind)
|
| 18 |
+
Arithmetic,add_or_sub,What is -0.3 minus 1991087?,-1991087.3,,Mathematics Dataset (Google DeepMind)
|
| 19 |
+
Arithmetic,add_or_sub,Subtract -1 from -467.,-466.0,,Mathematics Dataset (Google DeepMind)
|
| 20 |
+
Arithmetic,add_or_sub,What is the distance between 0.7 and -1843?,1843.7,,Mathematics Dataset (Google DeepMind)
|
| 21 |
+
Arithmetic,add_or_sub,What is -84217 minus -5?,-84212.0,,Mathematics Dataset (Google DeepMind)
|
| 22 |
+
Arithmetic,add_or_sub,What is 221 take away 0.2?,220.8,,Mathematics Dataset (Google DeepMind)
|
| 23 |
+
Arithmetic,add_sub_multiple,0 - (10 - (4 + 5)),-1.0,,Mathematics Dataset (Google DeepMind)
|
| 24 |
+
Arithmetic,add_sub_multiple,0 - 2 - (4 - (-5 + 11)),0.0,,Mathematics Dataset (Google DeepMind)
|
| 25 |
+
Arithmetic,add_sub_multiple,Evaluate -7 + (-7 - -2) - -5 - -9.,2.0,,Mathematics Dataset (Google DeepMind)
|
| 26 |
+
Arithmetic,add_sub_multiple,Calculate (3 - (-4 - -3)) + -4.,0.0,,Mathematics Dataset (Google DeepMind)
|
| 27 |
+
Arithmetic,add_sub_multiple,Calculate 1 - (4 - 8 - -8).,-3.0,,Mathematics Dataset (Google DeepMind)
|
| 28 |
+
Arithmetic,add_sub_multiple,Calculate -8 + 3 - (1 + -4 - 0).,-2.0,,Mathematics Dataset (Google DeepMind)
|
| 29 |
+
Arithmetic,add_sub_multiple,What is 9 - 2 - 11 - (-1 - 1)?,-2.0,,Mathematics Dataset (Google DeepMind)
|
| 30 |
+
Arithmetic,div,-6405 divided by -105,61.0,,Mathematics Dataset (Google DeepMind)
|
| 31 |
+
Arithmetic,div,Calculate -4450 divided by 178.,-25.0,,Mathematics Dataset (Google DeepMind)
|
| 32 |
+
Arithmetic,div,263 divided by 1,263.0,,Mathematics Dataset (Google DeepMind)
|
| 33 |
+
Arithmetic,div,Calculate -732 divided by 4.,-183.0,,Mathematics Dataset (Google DeepMind)
|
| 34 |
+
Arithmetic,div,What is -44030 divided by -1190?,37.0,,Mathematics Dataset (Google DeepMind)
|
| 35 |
+
Arithmetic,div,What is -546 divided by 6?,-91.0,,Mathematics Dataset (Google DeepMind)
|
| 36 |
+
Arithmetic,div,Calculate -102 divided by 2.,-51.0,,Mathematics Dataset (Google DeepMind)
|
| 37 |
+
Arithmetic,mul,What is 5 times -34?,-170.0,,Mathematics Dataset (Google DeepMind)
|
| 38 |
+
Arithmetic,mul,What is 427 times 0?,0.0,,Mathematics Dataset (Google DeepMind)
|
| 39 |
+
Arithmetic,mul,What is 1247 times 0.5?,623.5,,Mathematics Dataset (Google DeepMind)
|
| 40 |
+
Arithmetic,mul,Work out 0 * -3.4.,0.0,,Mathematics Dataset (Google DeepMind)
|
| 41 |
+
Arithmetic,mul,-2167 times 3,-6501.0,,Mathematics Dataset (Google DeepMind)
|
| 42 |
+
Arithmetic,mul,-45 * 66,-2970.0,,Mathematics Dataset (Google DeepMind)
|
| 43 |
+
Arithmetic,mul,What is the product of 0.3 and -81?,-24.3,,Mathematics Dataset (Google DeepMind)
|
| 44 |
+
Arithmetic,mul_div_multiple,Evaluate -3*(-3)/(-27)*-15.,5.0,,Mathematics Dataset (Google DeepMind)
|
| 45 |
+
Arithmetic,mul_div_multiple,What is (2/16*-4)/((-2)/(-8))?,-2.0,,Mathematics Dataset (Google DeepMind)
|
| 46 |
+
Arithmetic,mul_div_multiple,(-47)/(-188)*(-24)/2,-3.0,,Mathematics Dataset (Google DeepMind)
|
| 47 |
+
Arithmetic,mul_div_multiple,Calculate 1/(-12)*-4*-15.,-5.0,,Mathematics Dataset (Google DeepMind)
|
| 48 |
+
Arithmetic,mul_div_multiple,(-3)/((-18)/4)*-3,-2.0,,Mathematics Dataset (Google DeepMind)
|
| 49 |
+
Arithmetic,mul_div_multiple,What is -1*(-6)/(-12)*2?,-1.0,,Mathematics Dataset (Google DeepMind)
|
| 50 |
+
Arithmetic,mul_div_multiple,Evaluate (-1)/((-8)/(48/(-3))).,-2.0,,Mathematics Dataset (Google DeepMind)
|
| 51 |
+
Arithmetic,conversion,How many millilitres are there in 910.4399 litres?,910439.9,,Mathematics Dataset (Google DeepMind)
|
| 52 |
+
Arithmetic,conversion,What is fifty-five halves of a kilometer in meters?,27500.0,,Mathematics Dataset (Google DeepMind)
|
| 53 |
+
Arithmetic,conversion,What is 1.946047l in millilitres?,1946.047,,Mathematics Dataset (Google DeepMind)
|
| 54 |
+
Arithmetic,conversion,What is 0.929527 centuries in millennia?,0.0929527,,Mathematics Dataset (Google DeepMind)
|
| 55 |
+
Arithmetic,conversion,How many millilitres are there in one twentieth of a litre?,50.0,,Mathematics Dataset (Google DeepMind)
|
| 56 |
+
Arithmetic,conversion,What is one tenth of a milligram in nanograms?,100000.0,,Mathematics Dataset (Google DeepMind)
|
| 57 |
+
Arithmetic,conversion,What is 2/125 of a meter in millimeters?,16.0,,Mathematics Dataset (Google DeepMind)
|
| 58 |
+
Arithmetic,time,How many minutes are there between 2:12 PM and 3:43 PM?,91.0,,Mathematics Dataset (Google DeepMind)
|
| 59 |
+
Arithmetic,time,How many minutes are there between 10:12 PM and 5:36 AM?,444.0,,Mathematics Dataset (Google DeepMind)
|
| 60 |
+
Arithmetic,time,How many minutes are there between 12:25 AM and 7:35 AM?,430.0,,Mathematics Dataset (Google DeepMind)
|
| 61 |
+
Arithmetic,time,How many minutes are there between 11:23 AM and 12:03 PM?,40.0,,Mathematics Dataset (Google DeepMind)
|
| 62 |
+
Arithmetic,time,How many minutes are there between 12:40 AM and 3:18 AM?,158.0,,Mathematics Dataset (Google DeepMind)
|
| 63 |
+
Arithmetic,time,How many minutes are there between 5:28 PM and 6:20 PM?,52.0,,Mathematics Dataset (Google DeepMind)
|
| 64 |
+
Arithmetic,time,How many minutes are there between 11:16 PM and 10:18 AM?,662.0,,Mathematics Dataset (Google DeepMind)
|
| 65 |
+
Arithmetic,div_remainder,What is the remainder when 50 is divided by 18?,14.0,,Mathematics Dataset (Google DeepMind)
|
| 66 |
+
Arithmetic,div_remainder,What is the remainder when 956 is divided by 287?,95.0,,Mathematics Dataset (Google DeepMind)
|
| 67 |
+
Arithmetic,div_remainder,What is the remainder when 2198 is divided by 44?,42.0,,Mathematics Dataset (Google DeepMind)
|
| 68 |
+
Arithmetic,div_remainder,Calculate the remainder when 1903 is divided by 212.,207.0,,Mathematics Dataset (Google DeepMind)
|
| 69 |
+
Arithmetic,div_remainder,Calculate the remainder when 12707 is divided by 71.,69.0,,Mathematics Dataset (Google DeepMind)
|
| 70 |
+
Arithmetic,div_remainder,What is the remainder when 129 is divided by 61?,7.0,,Mathematics Dataset (Google DeepMind)
|
| 71 |
+
Arithmetic,div_remainder,Calculate the remainder when 147 is divided by 23.,9.0,,Mathematics Dataset (Google DeepMind)
|
| 72 |
+
Arithmetic,gcd,What is the highest common factor of 800 and 350?,50.0,,Mathematics Dataset (Google DeepMind)
|
| 73 |
+
Arithmetic,gcd,Calculate the highest common factor of 21342 and 12.,6.0,,Mathematics Dataset (Google DeepMind)
|
| 74 |
+
Arithmetic,gcd,What is the greatest common factor of 48 and 1520?,16.0,,Mathematics Dataset (Google DeepMind)
|
| 75 |
+
Arithmetic,gcd,Calculate the greatest common divisor of 1155 and 616.,77.0,,Mathematics Dataset (Google DeepMind)
|
| 76 |
+
Arithmetic,gcd,What is the highest common factor of 32 and 55?,1.0,,Mathematics Dataset (Google DeepMind)
|
| 77 |
+
Arithmetic,gcd,What is the greatest common factor of 5037 and 69?,69.0,,Mathematics Dataset (Google DeepMind)
|
| 78 |
+
Arithmetic,gcd,Calculate the greatest common divisor of 44 and 154.,22.0,,Mathematics Dataset (Google DeepMind)
|
| 79 |
+
Arithmetic,lcm,Calculate the least common multiple of 24498 and 8.,97992.0,,Mathematics Dataset (Google DeepMind)
|
| 80 |
+
Arithmetic,lcm,Calculate the common denominator of 115/582 and -4/11.,6402.0,,Mathematics Dataset (Google DeepMind)
|
| 81 |
+
Arithmetic,lcm,What is the least common multiple of 6728 and 40?,33640.0,,Mathematics Dataset (Google DeepMind)
|
| 82 |
+
Arithmetic,lcm,Calculate the lowest common multiple of 4 and 460.,460.0,,Mathematics Dataset (Google DeepMind)
|
| 83 |
+
Arithmetic,lcm,What is the common denominator of -59/120 and -29/24?,120.0,,Mathematics Dataset (Google DeepMind)
|
| 84 |
+
Arithmetic,lcm,What is the common denominator of -93/58 and -5/58?,58.0,,Mathematics Dataset (Google DeepMind)
|
| 85 |
+
Arithmetic,lcm,Calculate the smallest common multiple of 286 and 364.,4004.0,,Mathematics Dataset (Google DeepMind)
|
| 86 |
+
Arithmetic,place_value,What is the units digit of 8196?,6.0,,Mathematics Dataset (Google DeepMind)
|
| 87 |
+
Arithmetic,place_value,What is the tens digit of 3848?,4.0,,Mathematics Dataset (Google DeepMind)
|
| 88 |
+
Arithmetic,place_value,What is the hundreds digit of 2079?,0.0,,Mathematics Dataset (Google DeepMind)
|
| 89 |
+
Arithmetic,place_value,What is the tens digit of 1599?,9.0,,Mathematics Dataset (Google DeepMind)
|
| 90 |
+
Arithmetic,place_value,What is the hundreds digit of 9001?,0.0,,Mathematics Dataset (Google DeepMind)
|
| 91 |
+
Arithmetic,place_value,What is the hundreds digit of 30741?,7.0,,Mathematics Dataset (Google DeepMind)
|
| 92 |
+
Arithmetic,place_value,What is the units digit of 72672?,2.0,,Mathematics Dataset (Google DeepMind)
|
| 93 |
+
Arithmetic,round_number,Round -147720 to the nearest one thousand.,-148000.0,,Mathematics Dataset (Google DeepMind)
|
| 94 |
+
Arithmetic,round_number,What is 0.57208 rounded to 1 dp?,0.6000000000000001,,Mathematics Dataset (Google DeepMind)
|
| 95 |
+
Arithmetic,round_number,What is 0.00117 rounded to four dps?,0.0012,,Mathematics Dataset (Google DeepMind)
|
| 96 |
+
Arithmetic,round_number,Round 13.5 to the nearest 10.,10.0,,Mathematics Dataset (Google DeepMind)
|
| 97 |
+
Arithmetic,round_number,Round 4117.6 to the nearest 10.,4120.0,,Mathematics Dataset (Google DeepMind)
|
| 98 |
+
Arithmetic,round_number,What is -892.7 rounded to the nearest 10?,-890.0,,Mathematics Dataset (Google DeepMind)
|
| 99 |
+
Arithmetic,round_number,What is -491.93 rounded to 0 dps?,-492.0,,Mathematics Dataset (Google DeepMind)
|
| 100 |
+
Arithmetic,conversion,Convert 80319.95 kilograms to micrograms.,80319950000000.0,,Mathematics Dataset (Google DeepMind)
|
| 101 |
+
Arithmetic,lcm,Calculate the smallest common multiple of 7272 and 909.,7272.0,,Mathematics Dataset (Google DeepMind)
|
I_Arithmetic/arithmetic_100.json
ADDED
|
@@ -0,0 +1,100 @@
|
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|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
{"category":"Arithmetic","subcategory":"arithmetic_mixed","question":"0.1*3.0=","answer":0.3,"reasoning":null,"source":"Math-401"}
|
| 2 |
+
{"category":"Arithmetic","subcategory":"arithmetic_mixed","question":"88254\u00d726228=","answer":2314725912.0,"reasoning":null,"source":"Math-401"}
|
| 3 |
+
{"category":"Arithmetic","subcategory":"arithmetic_mixed","question":"37739*66015=","answer":2491340085.0,"reasoning":null,"source":"Math-401"}
|
| 4 |
+
{"category":"Arithmetic","subcategory":"arithmetic_mixed","question":"5^4=","answer":625.0,"reasoning":null,"source":"Math-401"}
|
| 5 |
+
{"category":"Arithmetic","subcategory":"arithmetic_mixed","question":"721-847=","answer":-126.0,"reasoning":null,"source":"Math-401"}
|
| 6 |
+
{"category":"Arithmetic","subcategory":"arithmetic_mixed","question":"774426524175+721318944497=","answer":1495745468672.0,"reasoning":null,"source":"Math-401"}
|
| 7 |
+
{"category":"Arithmetic","subcategory":"arithmetic_mixed","question":"7^4=","answer":2401.0,"reasoning":null,"source":"Math-401"}
|
| 8 |
+
{"category":"Arithmetic","subcategory":"sequence_next_term","question":"What is next in 1964, 3923, 5880, 7835?","answer":9788.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 9 |
+
{"category":"Arithmetic","subcategory":"sequence_next_term","question":"What comes next: 17, 49, 129, 281, 529, 897, 1409?","answer":2089.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 10 |
+
{"category":"Arithmetic","subcategory":"sequence_next_term","question":"What is the next term in -1691, -1690, -1689, -1688?","answer":-1687.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 11 |
+
{"category":"Arithmetic","subcategory":"sequence_next_term","question":"What is the next term in -1341, -2675, -3997, -5301, -6581, -7831?","answer":-9045.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 12 |
+
{"category":"Arithmetic","subcategory":"sequence_next_term","question":"What is the next term in 12, 24, 38, 54, 72, 92, 114?","answer":138.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 13 |
+
{"category":"Arithmetic","subcategory":"sequence_next_term","question":"What is the next term in 1070, 4273, 9610, 17081?","answer":26686.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 14 |
+
{"category":"Arithmetic","subcategory":"sequence_next_term","question":"What comes next: -75, -80, -85, -90?","answer":-95.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 15 |
+
{"category":"Arithmetic","subcategory":"add_or_sub","question":"Calculate -13 - 40.103.","answer":-53.103,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 16 |
+
{"category":"Arithmetic","subcategory":"add_or_sub","question":"Add together -18.766737 and -0.5.","answer":-19.266737,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 17 |
+
{"category":"Arithmetic","subcategory":"add_or_sub","question":"What is -0.3 minus 1991087?","answer":-1991087.3,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 18 |
+
{"category":"Arithmetic","subcategory":"add_or_sub","question":"Subtract -1 from -467.","answer":-466.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 19 |
+
{"category":"Arithmetic","subcategory":"add_or_sub","question":"What is the distance between 0.7 and -1843?","answer":1843.7,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 20 |
+
{"category":"Arithmetic","subcategory":"add_or_sub","question":"What is -84217 minus -5?","answer":-84212.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 21 |
+
{"category":"Arithmetic","subcategory":"add_or_sub","question":"What is 221 take away 0.2?","answer":220.8,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 22 |
+
{"category":"Arithmetic","subcategory":"add_sub_multiple","question":"0 - (10 - (4 + 5))","answer":-1.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 23 |
+
{"category":"Arithmetic","subcategory":"add_sub_multiple","question":"0 - 2 - (4 - (-5 + 11))","answer":0.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 24 |
+
{"category":"Arithmetic","subcategory":"add_sub_multiple","question":"Evaluate -7 + (-7 - -2) - -5 - -9.","answer":2.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 25 |
+
{"category":"Arithmetic","subcategory":"add_sub_multiple","question":"Calculate (3 - (-4 - -3)) + -4.","answer":0.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 26 |
+
{"category":"Arithmetic","subcategory":"add_sub_multiple","question":"Calculate 1 - (4 - 8 - -8).","answer":-3.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 27 |
+
{"category":"Arithmetic","subcategory":"add_sub_multiple","question":"Calculate -8 + 3 - (1 + -4 - 0).","answer":-2.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 28 |
+
{"category":"Arithmetic","subcategory":"add_sub_multiple","question":"What is 9 - 2 - 11 - (-1 - 1)?","answer":-2.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 29 |
+
{"category":"Arithmetic","subcategory":"div","question":"-6405 divided by -105","answer":61.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 30 |
+
{"category":"Arithmetic","subcategory":"div","question":"Calculate -4450 divided by 178.","answer":-25.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 31 |
+
{"category":"Arithmetic","subcategory":"div","question":"263 divided by 1","answer":263.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 32 |
+
{"category":"Arithmetic","subcategory":"div","question":"Calculate -732 divided by 4.","answer":-183.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 33 |
+
{"category":"Arithmetic","subcategory":"div","question":"What is -44030 divided by -1190?","answer":37.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 34 |
+
{"category":"Arithmetic","subcategory":"div","question":"What is -546 divided by 6?","answer":-91.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 35 |
+
{"category":"Arithmetic","subcategory":"div","question":"Calculate -102 divided by 2.","answer":-51.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 36 |
+
{"category":"Arithmetic","subcategory":"mul","question":"What is 5 times -34?","answer":-170.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 37 |
+
{"category":"Arithmetic","subcategory":"mul","question":"What is 427 times 0?","answer":0.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 38 |
+
{"category":"Arithmetic","subcategory":"mul","question":"What is 1247 times 0.5?","answer":623.5,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 39 |
+
{"category":"Arithmetic","subcategory":"mul","question":"Work out 0 * -3.4.","answer":0.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 40 |
+
{"category":"Arithmetic","subcategory":"mul","question":"-2167 times 3","answer":-6501.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 41 |
+
{"category":"Arithmetic","subcategory":"mul","question":"-45 * 66","answer":-2970.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 42 |
+
{"category":"Arithmetic","subcategory":"mul","question":"What is the product of 0.3 and -81?","answer":-24.3,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 43 |
+
{"category":"Arithmetic","subcategory":"mul_div_multiple","question":"Evaluate -3*(-3)\/(-27)*-15.","answer":5.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 44 |
+
{"category":"Arithmetic","subcategory":"mul_div_multiple","question":"What is (2\/16*-4)\/((-2)\/(-8))?","answer":-2.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 45 |
+
{"category":"Arithmetic","subcategory":"mul_div_multiple","question":"(-47)\/(-188)*(-24)\/2","answer":-3.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 46 |
+
{"category":"Arithmetic","subcategory":"mul_div_multiple","question":"Calculate 1\/(-12)*-4*-15.","answer":-5.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 47 |
+
{"category":"Arithmetic","subcategory":"mul_div_multiple","question":"(-3)\/((-18)\/4)*-3","answer":-2.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 48 |
+
{"category":"Arithmetic","subcategory":"mul_div_multiple","question":"What is -1*(-6)\/(-12)*2?","answer":-1.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 49 |
+
{"category":"Arithmetic","subcategory":"mul_div_multiple","question":"Evaluate (-1)\/((-8)\/(48\/(-3))).","answer":-2.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 50 |
+
{"category":"Arithmetic","subcategory":"conversion","question":"How many millilitres are there in 910.4399 litres?","answer":910439.9,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 51 |
+
{"category":"Arithmetic","subcategory":"conversion","question":"What is fifty-five halves of a kilometer in meters?","answer":27500.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 52 |
+
{"category":"Arithmetic","subcategory":"conversion","question":"What is 1.946047l in millilitres?","answer":1946.047,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 53 |
+
{"category":"Arithmetic","subcategory":"conversion","question":"What is 0.929527 centuries in millennia?","answer":0.0929527,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 54 |
+
{"category":"Arithmetic","subcategory":"conversion","question":"How many millilitres are there in one twentieth of a litre?","answer":50.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 55 |
+
{"category":"Arithmetic","subcategory":"conversion","question":"What is one tenth of a milligram in nanograms?","answer":100000.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 56 |
+
{"category":"Arithmetic","subcategory":"conversion","question":"What is 2\/125 of a meter in millimeters?","answer":16.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 57 |
+
{"category":"Arithmetic","subcategory":"time","question":"How many minutes are there between 2:12 PM and 3:43 PM?","answer":91.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 58 |
+
{"category":"Arithmetic","subcategory":"time","question":"How many minutes are there between 10:12 PM and 5:36 AM?","answer":444.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 59 |
+
{"category":"Arithmetic","subcategory":"time","question":"How many minutes are there between 12:25 AM and 7:35 AM?","answer":430.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 60 |
+
{"category":"Arithmetic","subcategory":"time","question":"How many minutes are there between 11:23 AM and 12:03 PM?","answer":40.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 61 |
+
{"category":"Arithmetic","subcategory":"time","question":"How many minutes are there between 12:40 AM and 3:18 AM?","answer":158.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 62 |
+
{"category":"Arithmetic","subcategory":"time","question":"How many minutes are there between 5:28 PM and 6:20 PM?","answer":52.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 63 |
+
{"category":"Arithmetic","subcategory":"time","question":"How many minutes are there between 11:16 PM and 10:18 AM?","answer":662.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 64 |
+
{"category":"Arithmetic","subcategory":"div_remainder","question":"What is the remainder when 50 is divided by 18?","answer":14.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 65 |
+
{"category":"Arithmetic","subcategory":"div_remainder","question":"What is the remainder when 956 is divided by 287?","answer":95.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 66 |
+
{"category":"Arithmetic","subcategory":"div_remainder","question":"What is the remainder when 2198 is divided by 44?","answer":42.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 67 |
+
{"category":"Arithmetic","subcategory":"div_remainder","question":"Calculate the remainder when 1903 is divided by 212.","answer":207.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 68 |
+
{"category":"Arithmetic","subcategory":"div_remainder","question":"Calculate the remainder when 12707 is divided by 71.","answer":69.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 69 |
+
{"category":"Arithmetic","subcategory":"div_remainder","question":"What is the remainder when 129 is divided by 61?","answer":7.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 70 |
+
{"category":"Arithmetic","subcategory":"div_remainder","question":"Calculate the remainder when 147 is divided by 23.","answer":9.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 71 |
+
{"category":"Arithmetic","subcategory":"gcd","question":"What is the highest common factor of 800 and 350?","answer":50.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 72 |
+
{"category":"Arithmetic","subcategory":"gcd","question":"Calculate the highest common factor of 21342 and 12.","answer":6.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 73 |
+
{"category":"Arithmetic","subcategory":"gcd","question":"What is the greatest common factor of 48 and 1520?","answer":16.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 74 |
+
{"category":"Arithmetic","subcategory":"gcd","question":"Calculate the greatest common divisor of 1155 and 616.","answer":77.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 75 |
+
{"category":"Arithmetic","subcategory":"gcd","question":"What is the highest common factor of 32 and 55?","answer":1.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 76 |
+
{"category":"Arithmetic","subcategory":"gcd","question":"What is the greatest common factor of 5037 and 69?","answer":69.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 77 |
+
{"category":"Arithmetic","subcategory":"gcd","question":"Calculate the greatest common divisor of 44 and 154.","answer":22.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 78 |
+
{"category":"Arithmetic","subcategory":"lcm","question":"Calculate the least common multiple of 24498 and 8.","answer":97992.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 79 |
+
{"category":"Arithmetic","subcategory":"lcm","question":"Calculate the common denominator of 115\/582 and -4\/11.","answer":6402.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 80 |
+
{"category":"Arithmetic","subcategory":"lcm","question":"What is the least common multiple of 6728 and 40?","answer":33640.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 81 |
+
{"category":"Arithmetic","subcategory":"lcm","question":"Calculate the lowest common multiple of 4 and 460.","answer":460.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 82 |
+
{"category":"Arithmetic","subcategory":"lcm","question":"What is the common denominator of -59\/120 and -29\/24?","answer":120.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 83 |
+
{"category":"Arithmetic","subcategory":"lcm","question":"What is the common denominator of -93\/58 and -5\/58?","answer":58.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 84 |
+
{"category":"Arithmetic","subcategory":"lcm","question":"Calculate the smallest common multiple of 286 and 364.","answer":4004.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 85 |
+
{"category":"Arithmetic","subcategory":"place_value","question":"What is the units digit of 8196?","answer":6.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 86 |
+
{"category":"Arithmetic","subcategory":"place_value","question":"What is the tens digit of 3848?","answer":4.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 87 |
+
{"category":"Arithmetic","subcategory":"place_value","question":"What is the hundreds digit of 2079?","answer":0.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 88 |
+
{"category":"Arithmetic","subcategory":"place_value","question":"What is the tens digit of 1599?","answer":9.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 89 |
+
{"category":"Arithmetic","subcategory":"place_value","question":"What is the hundreds digit of 9001?","answer":0.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 90 |
+
{"category":"Arithmetic","subcategory":"place_value","question":"What is the hundreds digit of 30741?","answer":7.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 91 |
+
{"category":"Arithmetic","subcategory":"place_value","question":"What is the units digit of 72672?","answer":2.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 92 |
+
{"category":"Arithmetic","subcategory":"round_number","question":"Round -147720 to the nearest one thousand.","answer":-148000.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 93 |
+
{"category":"Arithmetic","subcategory":"round_number","question":"What is 0.57208 rounded to 1 dp?","answer":0.6,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 94 |
+
{"category":"Arithmetic","subcategory":"round_number","question":"What is 0.00117 rounded to four dps?","answer":0.0012,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 95 |
+
{"category":"Arithmetic","subcategory":"round_number","question":"Round 13.5 to the nearest 10.","answer":10.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 96 |
+
{"category":"Arithmetic","subcategory":"round_number","question":"Round 4117.6 to the nearest 10.","answer":4120.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 97 |
+
{"category":"Arithmetic","subcategory":"round_number","question":"What is -892.7 rounded to the nearest 10?","answer":-890.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 98 |
+
{"category":"Arithmetic","subcategory":"round_number","question":"What is -491.93 rounded to 0 dps?","answer":-492.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 99 |
+
{"category":"Arithmetic","subcategory":"conversion","question":"Convert 80319.95 kilograms to micrograms.","answer":80319950000000.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
| 100 |
+
{"category":"Arithmetic","subcategory":"lcm","question":"Calculate the smallest common multiple of 7272 and 909.","answer":7272.0,"reasoning":null,"source":"Mathematics Dataset (Google DeepMind)"}
|
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