id int64 1 735k | topic stringclasses 11
values | difficulty stringclasses 2
values | question stringlengths 12 91 | answer stringlengths 1 11 | reasoning stringlengths 20 98 | category stringclasses 19
values |
|---|---|---|---|---|---|---|
732,201 | arithmetic | easy | What is 8091 / 93? | 87 | Divide: 8091 ÷ 93 = 87 because 93*87=8091. | division |
732,202 | geometry | easy | Find the area of a triangle with base 67 and height 8. | 268 | Area = 0.5*base*height = 0.5*67*8 = 268. | triangle_area |
732,203 | algebra | easy | Solve for x: 9x - 29 = 7 | 4 | Add 29 to both sides: 9x = 7+29=36. Then x = 36/9 = 4. | linear_equation |
732,204 | arithmetic | easy | What is 782 + 356 * 78? Remember order of operations. | 28550 | Order of operations (PEMDAS): first 356*78=27768, then 782+27768=28550. | basic_operations |
732,205 | calculus | medium | What is the derivative of 2x^3 with respect to x? | 6x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^3] = 2*3*x^2 = 6x^2. | derivative |
732,206 | word_problems | easy | If you have 63 pencils and you buy 23 more pencils, how many pencils do you have in total? | 86 | Add initial 63 plus bought 23: 63+23=86. | addition_word |
732,207 | geometry | easy | Find the area of a triangle with base 68 and height 13. | 442 | Area = 0.5*base*height = 0.5*68*13 = 442. | triangle_area |
732,208 | calculus | medium | What is the derivative of 3x^5 with respect to x? | 15x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^5] = 3*5*x^4 = 15x^4. | derivative |
732,209 | arithmetic | easy | What is 531 - 487? | 44 | Subtract: 531 - 487 = 44. | basic_operations |
732,210 | arithmetic | easy | What is 28 + 93 * 68? Remember order of operations. | 6352 | Order of operations (PEMDAS): first 93*68=6324, then 28+6324=6352. | basic_operations |
732,211 | exponents | easy | What is 7^4? | 2401 | 7^4 means multiply 7 by itself 4 times: 7*7*7*7 = 2401. | exponents |
732,212 | algebra | easy | Solve for x: 1x + 46 = 46 | 0 | Subtract 46 from both sides: 1x = 46-46=0. Then divide by 1: x = 0/1 = 0. | linear_equation |
732,213 | roots | easy | What is the square root of 361? | 19 | Find number that when squared gives 361. 19*19=361, so sqrt(361)=19. | square_roots |
732,214 | arithmetic | easy | What is 15360 / 40? | 384 | Divide: 15360 ÷ 40 = 384 because 40*384=15360. | division |
732,215 | arithmetic | easy | What is 276 + 776 * 78? Remember order of operations. | 60804 | Order of operations (PEMDAS): first 776*78=60528, then 276+60528=60804. | basic_operations |
732,216 | statistics | easy | What is the mean (average) of 96, 53, 66, 21, 78? | 62.8 | Mean = sum/count. Sum = 96+53+66+21+78=314. Count=5. Mean=314/5=62.8. | mean |
732,217 | fractions | medium | What is 8/20 + 12/3? Give as simplified fraction. | 22/5 | Common denominator 20*3=60. 8/20=24/60, 12/3=240/60. Sum = 264/60 = 22/5 simplified. | fraction_operations |
732,218 | exponents | easy | What is 10^5? | 100000 | 10^5 means multiply 10 by itself 5 times: 10*10*10*10*10 = 100000. | exponents |
732,219 | percentages | easy | What is 85% of 33? | 28.05 | Calculate 85/100 * 33 = 0.85*33 = 28.05. | percentages |
732,220 | calculus | medium | What is the indefinite integral of x^2 dx? | x^3/3 + C | Power rule for integration: integral x^n dx = x^(n+1)/(n+1) + C. So integral x^2 = x^3/3 + C. | integral |
732,221 | percentages | easy | What is 77% of 36? | 27.72 | Calculate 77/100 * 36 = 0.77*36 = 27.72. | percentages |
732,222 | number_theory | medium | What is the LCM (least common multiple) of 99 and 17? | 1683 | LCM = |99*17| / GCD(99,17). GCD=1, so LCM=1683/1=1683. | lcm |
732,223 | fractions | medium | What is 19/2 - 14/9? Give as simplified fraction. | 143/18 | Common denominator 18. Numerator 171-28=143. So 143/18 simplifies to 143/18. | fraction_operations |
732,224 | arithmetic | easy | What is 501 - 120? | 381 | Subtract: 501 - 120 = 381. | basic_operations |
732,225 | geometry | easy | Find the circumference of a circle with radius 50. Use pi=3.14159, round to 2 decimals. | 314.16 | Circumference = 2*pi*r = 2*3.14159*50 = 314.16. | circle_circum |
732,226 | percentages | easy | What is 53% of 186? | 98.58 | Calculate 53/100 * 186 = 0.53*186 = 98.58. | percentages |
732,227 | percentages | easy | What is 15% of 598? | 89.7 | Calculate 15/100 * 598 = 0.15*598 = 89.7. | percentages |
732,228 | calculus | medium | What is the derivative of 1x^8 with respect to x? | 8x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^8] = 1*8*x^7 = 8x^7. | derivative |
732,229 | algebra | easy | Solve for x: 3x + 3 = 33 | 10 | Subtract 3 from both sides: 3x = 33-3=30. Then divide by 3: x = 30/3 = 10. | linear_equation |
732,230 | calculus | medium | What is the indefinite integral of x^3 dx? | x^4/4 + C | Power rule for integration: integral x^n dx = x^(n+1)/(n+1) + C. So integral x^3 = x^4/4 + C. | integral |
732,231 | calculus | medium | What is the derivative of 5x^5 with respect to x? | 25x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^5] = 5*5*x^4 = 25x^4. | derivative |
732,232 | roots | easy | What is the square root of 441? | 21 | Find number that when squared gives 441. 21*21=441, so sqrt(441)=21. | square_roots |
732,233 | statistics | easy | What is the mean (average) of 21, 16, 45, 92, 92? | 53.2 | Mean = sum/count. Sum = 21+16+45+92+92=266. Count=5. Mean=266/5=53.2. | mean |
732,234 | word_problems | easy | If you have 41 dollars and you buy 44 more dollars, how many dollars do you have in total? | 85 | Add initial 41 plus bought 44: 41+44=85. | addition_word |
732,235 | percentages | easy | What is 2% of 657? | 13.14 | Calculate 2/100 * 657 = 0.02*657 = 13.14. | percentages |
732,236 | arithmetic | easy | What is 955 + 27 * 98? Remember order of operations. | 3601 | Order of operations (PEMDAS): first 27*98=2646, then 955+2646=3601. | basic_operations |
732,237 | geometry | easy | Find the circumference of a circle with radius 20. Use pi=3.14159, round to 2 decimals. | 125.66 | Circumference = 2*pi*r = 2*3.14159*20 = 125.66. | circle_circum |
732,238 | number_theory | medium | What is the GCD (greatest common divisor) of 16 and 37? | 1 | Find greatest number dividing both 16 and 37. Divisors common, greatest is 1. | gcd |
732,239 | calculus | medium | What is the derivative of 3x^4 with respect to x? | 12x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^4] = 3*4*x^3 = 12x^3. | derivative |
732,240 | geometry | easy | Find the area of a triangle with base 58 and height 27. | 783 | Area = 0.5*base*height = 0.5*58*27 = 783. | triangle_area |
732,241 | algebra | medium | Solve for x: x^2 + 14x + 40 = 0 | x = -4, -10 | Factor: (x - -4)(x - -10) = x^2 -(-14)x + 40 = 0. So x = -4 or -10. Check sum = -14, product = 40. | quadratic |
732,242 | geometry | easy | Find the area of a rectangle with length 93 and width 4. | 372 | Area = length * width = 93*4 = 372. | rectangle_area |
732,243 | arithmetic | easy | What is 97 * 30? | 2910 | Multiply: 97 * 30 = 2910. | basic_operations |
732,244 | arithmetic | easy | What is 422 - 107? | 315 | Subtract: 422 - 107 = 315. | basic_operations |
732,245 | arithmetic | easy | What is 47 * 32? | 1504 | Multiply: 47 * 32 = 1504. | basic_operations |
732,246 | geometry | easy | Find the area of a rectangle with length 87 and width 91. | 7917 | Area = length * width = 87*91 = 7917. | rectangle_area |
732,247 | arithmetic | easy | What is 593 + 47? | 640 | Add the two numbers: 593 + 47 = 640. | basic_operations |
732,248 | word_problems | easy | If you have 11 candies and you buy 45 more candies, how many candies do you have in total? | 56 | Add initial 11 plus bought 45: 11+45=56. | addition_word |
732,249 | arithmetic | easy | What is 47 + 67 * 50? Remember order of operations. | 3397 | Order of operations (PEMDAS): first 67*50=3350, then 47+3350=3397. | basic_operations |
732,250 | calculus | medium | What is the indefinite integral of x^7 dx? | x^8/8 + C | Power rule for integration: integral x^n dx = x^(n+1)/(n+1) + C. So integral x^7 = x^8/8 + C. | integral |
732,251 | arithmetic | easy | What is 8 * 94? | 752 | Multiply: 8 * 94 = 752. | basic_operations |
732,252 | statistics | easy | What is the mean (average) of 58, 21, 19? | 32.67 | Mean = sum/count. Sum = 58+21+19=98. Count=3. Mean=98/3=32.67. | mean |
732,253 | algebra | medium | Solve for x: x^2 + 1x - 72 = 0 | x = -9, 8 | Factor: (x - -9)(x - 8) = x^2 -(-1)x + -72 = 0. So x = -9 or 8. Check sum = -1, product = -72. | quadratic |
732,254 | arithmetic | easy | What is 11172 / 84? | 133 | Divide: 11172 ÷ 84 = 133 because 84*133=11172. | division |
732,255 | arithmetic | easy | What is 628 + 308 * 11? Remember order of operations. | 4016 | Order of operations (PEMDAS): first 308*11=3388, then 628+3388=4016. | basic_operations |
732,256 | algebra | medium | Solve for x: x^2 - 1x - 42 = 0 | x = -6, 7 | Factor: (x - -6)(x - 7) = x^2 -(1)x + -42 = 0. So x = -6 or 7. Check sum = 1, product = -42. | quadratic |
732,257 | arithmetic | easy | What is 74 * 23? | 1702 | Multiply: 74 * 23 = 1702. | basic_operations |
732,258 | calculus | medium | What is the derivative of 8x^6 with respect to x? | 48x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^6] = 8*6*x^5 = 48x^5. | derivative |
732,259 | arithmetic | easy | What is 373 divided by 3? Give answer to 2 decimal places. | 124.33 | Calculate 373/ 3 = 124.3333, rounded to 2 decimals is 124.33. | division |
732,260 | algebra | medium | Solve for x: x^2 - 5x = 0 | x = 5, 0 | Factor: (x - 5)(x - 0) = x^2 -(5)x + 0 = 0. So x = 5 or 0. Check sum = 5, product = 0. | quadratic |
732,261 | geometry | easy | Find the perimeter of a rectangle with length 96 and width 36. | 264 | Perimeter = 2*(length+width) = 2*(96+36) = 2*132 = 264. | rectangle_perim |
732,262 | roots | easy | What is the square root of 1849? | 43 | Find number that when squared gives 1849. 43*43=1849, so sqrt(1849)=43. | square_roots |
732,263 | number_theory | medium | What is the LCM (least common multiple) of 66 and 40? | 1320 | LCM = |66*40| / GCD(66,40). GCD=2, so LCM=2640/2=1320. | lcm |
732,264 | algebra | easy | Solve for x: 4x - 9 = 55 | 16 | Add 9 to both sides: 4x = 55+9=64. Then x = 64/4 = 16. | linear_equation |
732,265 | statistics | easy | What is the mean (average) of 12, 52, 9? | 24.33 | Mean = sum/count. Sum = 12+52+9=73. Count=3. Mean=73/3=24.33. | mean |
732,266 | fractions | medium | What is 20/7 - 14/11? Give as simplified fraction. | 122/77 | Common denominator 77. Numerator 220-98=122. So 122/77 simplifies to 122/77. | fraction_operations |
732,267 | algebra | medium | Solve for x: x^2 + 4x - 21 = 0 | x = -7, 3 | Factor: (x - -7)(x - 3) = x^2 -(-4)x + -21 = 0. So x = -7 or 3. Check sum = -4, product = -21. | quadratic |
732,268 | percentages | easy | What is 94% of 808? | 759.52 | Calculate 94/100 * 808 = 0.94*808 = 759.52. | percentages |
732,269 | statistics | easy | What is the mean (average) of 50, 60, 67? | 59 | Mean = sum/count. Sum = 50+60+67=177. Count=3. Mean=177/3=59.0. | mean |
732,270 | calculus | medium | What is the derivative of 1x^2 with respect to x? | 2x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^2] = 1*2*x^1 = 2x. | derivative |
732,271 | exponents | easy | What is 5^3? | 125 | 5^3 means multiply 5 by itself 3 times: 5*5*5 = 125. | exponents |
732,272 | geometry | easy | Find the area of a triangle with base 6 and height 72. | 216 | Area = 0.5*base*height = 0.5*6*72 = 216. | triangle_area |
732,273 | geometry | easy | Find the area of a triangle with base 57 and height 49. | 1396.5 | Area = 0.5*base*height = 0.5*57*49 = 1396.5. | triangle_area |
732,274 | arithmetic | easy | What is 153 + 973 * 46? Remember order of operations. | 44911 | Order of operations (PEMDAS): first 973*46=44758, then 153+44758=44911. | basic_operations |
732,275 | statistics | easy | What is the mean (average) of 38, 41, 64, 100? | 60.75 | Mean = sum/count. Sum = 38+41+64+100=243. Count=4. Mean=243/4=60.75. | mean |
732,276 | geometry | easy | Find the perimeter of a rectangle with length 46 and width 65. | 222 | Perimeter = 2*(length+width) = 2*(46+65) = 2*111 = 222. | rectangle_perim |
732,277 | fractions | medium | What is 1/10 * 3/13? Give as simplified fraction. | 3/130 | Multiply numerators: 1*3=3. Denominators: 10*13=130. Simplify by gcd 1 to get 3/130. | fraction_operations |
732,278 | algebra | easy | Solve for x: 6x + 7 = 91 | 14 | Subtract 7 from both sides: 6x = 91-7=84. Then divide by 6: x = 84/6 = 14. | linear_equation |
732,279 | statistics | easy | What is the mean (average) of 65, 24, 19, 57, 29? | 38.8 | Mean = sum/count. Sum = 65+24+19+57+29=194. Count=5. Mean=194/5=38.8. | mean |
732,280 | algebra | medium | Solve for x: x^2 - 13x + 36 = 0 | x = 4, 9 | Factor: (x - 4)(x - 9) = x^2 -(13)x + 36 = 0. So x = 4 or 9. Check sum = 13, product = 36. | quadratic |
732,281 | word_problems | easy | If you have 43 pencils and you buy 12 more pencils, how many pencils do you have in total? | 55 | Add initial 43 plus bought 12: 43+12=55. | addition_word |
732,282 | percentages | easy | What is 63% of 952? | 599.76 | Calculate 63/100 * 952 = 0.63*952 = 599.76. | percentages |
732,283 | arithmetic | easy | What is 63 * 68? | 4284 | Multiply: 63 * 68 = 4284. | basic_operations |
732,284 | algebra | medium | Solve for x: x^2 - 7x + 12 = 0 | x = 4, 3 | Factor: (x - 4)(x - 3) = x^2 -(7)x + 12 = 0. So x = 4 or 3. Check sum = 7, product = 12. | quadratic |
732,285 | statistics | easy | What is the mean (average) of 68, 70, 84, 35, 40? | 59.4 | Mean = sum/count. Sum = 68+70+84+35+40=297. Count=5. Mean=297/5=59.4. | mean |
732,286 | number_theory | medium | What is the GCD (greatest common divisor) of 100 and 26? | 2 | Find greatest number dividing both 100 and 26. Divisors common, greatest is 2. | gcd |
732,287 | algebra | medium | Solve for x: x^2 - 10x = 0 | x = 10, 0 | Factor: (x - 10)(x - 0) = x^2 -(10)x + 0 = 0. So x = 10 or 0. Check sum = 10, product = 0. | quadratic |
732,288 | number_theory | medium | What is the LCM (least common multiple) of 18 and 37? | 666 | LCM = |18*37| / GCD(18,37). GCD=1, so LCM=666/1=666. | lcm |
732,289 | algebra | medium | Solve for x: x^2 + 4x - 12 = 0 | x = 2, -6 | Factor: (x - 2)(x - -6) = x^2 -(-4)x + -12 = 0. So x = 2 or -6. Check sum = -4, product = -12. | quadratic |
732,290 | word_problems | easy | If you have 38 dollars and you buy 50 more dollars, how many dollars do you have in total? | 88 | Add initial 38 plus bought 50: 38+50=88. | addition_word |
732,291 | algebra | easy | Solve for x: 19x - 35 = -225 | -10 | Add 35 to both sides: 19x = -225+35=-190. Then x = -190/19 = -10. | linear_equation |
732,292 | word_problems | easy | If you have 78 books and you buy 18 more books, how many books do you have in total? | 96 | Add initial 78 plus bought 18: 78+18=96. | addition_word |
732,293 | exponents | easy | What is 12^2? | 144 | 12^2 means multiply 12 by itself 2 times: 12*12 = 144. | exponents |
732,294 | number_theory | medium | What is the LCM (least common multiple) of 30 and 58? | 870 | LCM = |30*58| / GCD(30,58). GCD=2, so LCM=1740/2=870. | lcm |
732,295 | algebra | easy | Solve for x: 6x + 46 = 46 | 0 | Subtract 46 from both sides: 6x = 46-46=0. Then divide by 6: x = 0/6 = 0. | linear_equation |
732,296 | number_theory | medium | What is the GCD (greatest common divisor) of 11 and 22? | 11 | Find greatest number dividing both 11 and 22. Divisors common, greatest is 11. | gcd |
732,297 | number_theory | medium | What is the GCD (greatest common divisor) of 87 and 22? | 1 | Find greatest number dividing both 87 and 22. Divisors common, greatest is 1. | gcd |
732,298 | arithmetic | easy | What is 76 * 92? | 6992 | Multiply: 76 * 92 = 6992. | basic_operations |
732,299 | arithmetic | easy | What is 984 - 922? | 62 | Subtract: 984 - 922 = 62. | basic_operations |
732,300 | arithmetic | easy | What is 730 - 79? | 651 | Subtract: 730 - 79 = 651. | basic_operations |
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