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 |
|---|---|---|---|---|---|---|
5,201 | calculus | medium | What is the indefinite integral of x^5 dx? | x^6/6 + C | Power rule for integration: integral x^n dx = x^(n+1)/(n+1) + C. So integral x^5 = x^6/6 + C. | integral |
5,202 | geometry | easy | Find the perimeter of a rectangle with length 2 and width 20. | 44 | Perimeter = 2*(length+width) = 2*(2+20) = 2*22 = 44. | rectangle_perim |
5,203 | arithmetic | easy | What is 2568 divided by 13? Give answer to 2 decimal places. | 197.54 | Calculate 2568/ 13 = 197.5385, rounded to 2 decimals is 197.54. | division |
5,204 | percentages | easy | What is 18% of 632? | 113.76 | Calculate 18/100 * 632 = 0.18*632 = 113.76. | percentages |
5,205 | arithmetic | easy | What is 918 - 289? | 629 | Subtract: 918 - 289 = 629. | basic_operations |
5,206 | word_problems | easy | If you have 47 pencils and you buy 49 more pencils, how many pencils do you have in total? | 96 | Add initial 47 plus bought 49: 47+49=96. | addition_word |
5,207 | word_problems | easy | If you have 46 books and you buy 37 more books, how many books do you have in total? | 83 | Add initial 46 plus bought 37: 46+37=83. | addition_word |
5,208 | arithmetic | easy | What is 99 * 55? | 5445 | Multiply: 99 * 55 = 5445. | basic_operations |
5,209 | calculus | medium | What is the derivative of 4x^2 with respect to x? | 8x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^2] = 4*2*x^1 = 8x. | derivative |
5,210 | percentages | easy | What is 54% of 688? | 371.52 | Calculate 54/100 * 688 = 0.54*688 = 371.52. | percentages |
5,211 | algebra | medium | Solve for x: x^2 + 16x + 60 = 0 | x = -10, -6 | Factor: (x - -10)(x - -6) = x^2 -(-16)x + 60 = 0. So x = -10 or -6. Check sum = -16, product = 60. | quadratic |
5,212 | word_problems | easy | If you have 52 pencils and you buy 23 more pencils, how many pencils do you have in total? | 75 | Add initial 52 plus bought 23: 52+23=75. | addition_word |
5,213 | algebra | medium | Solve for x: x^2 + 10x + 16 = 0 | x = -8, -2 | Factor: (x - -8)(x - -2) = x^2 -(-10)x + 16 = 0. So x = -8 or -2. Check sum = -10, product = 16. | quadratic |
5,214 | word_problems | easy | If you have 64 pencils and you buy 2 more pencils, how many pencils do you have in total? | 66 | Add initial 64 plus bought 2: 64+2=66. | addition_word |
5,215 | algebra | easy | Solve for x: 1x + 6 = -7 | -13 | Subtract 6 from both sides: 1x = -7-6=-13. Then divide by 1: x = -13/1 = -13. | linear_equation |
5,216 | arithmetic | easy | What is 821 + 353? | 1174 | Add the two numbers: 821 + 353 = 1174. | basic_operations |
5,217 | arithmetic | easy | What is 22 * 13? | 286 | Multiply: 22 * 13 = 286. | basic_operations |
5,218 | algebra | medium | Solve for x: x^2 + 7x - 8 = 0 | x = -8, 1 | Factor: (x - -8)(x - 1) = x^2 -(-7)x + -8 = 0. So x = -8 or 1. Check sum = -7, product = -8. | quadratic |
5,219 | arithmetic | easy | What is 19992 / 68? | 294 | Divide: 19992 ÷ 68 = 294 because 68*294=19992. | division |
5,220 | number_theory | medium | What is the LCM (least common multiple) of 73 and 13? | 949 | LCM = |73*13| / GCD(73,13). GCD=1, so LCM=949/1=949. | lcm |
5,221 | arithmetic | easy | What is 5865 divided by 100? Give answer to 2 decimal places. | 58.65 | Calculate 5865/ 100 = 58.6500, rounded to 2 decimals is 58.65. | division |
5,222 | fractions | medium | What is 18/13 * 11/19? Give as simplified fraction. | 198/247 | Multiply numerators: 18*11=198. Denominators: 13*19=247. Simplify by gcd 1 to get 198/247. | fraction_operations |
5,223 | arithmetic | easy | What is 96 * 60? | 5760 | Multiply: 96 * 60 = 5760. | basic_operations |
5,224 | statistics | easy | What is the mean (average) of 91, 89, 13? | 64.33 | Mean = sum/count. Sum = 91+89+13=193. Count=3. Mean=193/3=64.33. | mean |
5,225 | calculus | medium | What is the derivative of 9x^6 with respect to x? | 54x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^6] = 9*6*x^5 = 54x^5. | derivative |
5,226 | arithmetic | easy | What is 726 - 52? | 674 | Subtract: 726 - 52 = 674. | basic_operations |
5,227 | statistics | easy | What is the mean (average) of 98, 90, 78, 28, 9? | 60.6 | Mean = sum/count. Sum = 98+90+78+28+9=303. Count=5. Mean=303/5=60.6. | mean |
5,228 | calculus | medium | What is the derivative of 3x^6 with respect to x? | 18x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^6] = 3*6*x^5 = 18x^5. | derivative |
5,229 | statistics | easy | What is the mean (average) of 66, 36, 43? | 48.33 | Mean = sum/count. Sum = 66+36+43=145. Count=3. Mean=145/3=48.33. | mean |
5,230 | exponents | easy | What is 2^2? | 4 | 2^2 means multiply 2 by itself 2 times: 2*2 = 4. | exponents |
5,231 | algebra | easy | Solve for x: 6x + 42 = 102 | 10 | Subtract 42 from both sides: 6x = 102-42=60. Then divide by 6: x = 60/6 = 10. | linear_equation |
5,232 | algebra | medium | Solve for x: x^2 + 19x + 90 = 0 | x = -10, -9 | Factor: (x - -10)(x - -9) = x^2 -(-19)x + 90 = 0. So x = -10 or -9. Check sum = -19, product = 90. | quadratic |
5,233 | algebra | medium | Solve for x: x^2 - 3x - 28 = 0 | x = 7, -4 | Factor: (x - 7)(x - -4) = x^2 -(3)x + -28 = 0. So x = 7 or -4. Check sum = 3, product = -28. | quadratic |
5,234 | exponents | easy | What is 10^3? | 1000 | 10^3 means multiply 10 by itself 3 times: 10*10*10 = 1000. | exponents |
5,235 | percentages | easy | What is 18% of 679? | 122.22 | Calculate 18/100 * 679 = 0.18*679 = 122.22. | percentages |
5,236 | algebra | easy | Solve for x: 2x - 18 = -48 | -15 | Add 18 to both sides: 2x = -48+18=-30. Then x = -30/2 = -15. | linear_equation |
5,237 | geometry | easy | Find the area of a circle with radius 32. Use pi=3.14159, round to 2 decimals. | 3216.99 | Area = pi*r^2 = 3.14159*32^2 = 3.14159*1024 = 3216.99. | circle_area |
5,238 | geometry | easy | Find the perimeter of a rectangle with length 94 and width 17. | 222 | Perimeter = 2*(length+width) = 2*(94+17) = 2*111 = 222. | rectangle_perim |
5,239 | arithmetic | easy | What is 2160 / 10? | 216 | Divide: 2160 ÷ 10 = 216 because 10*216=2160. | division |
5,240 | arithmetic | easy | What is 95 + 2 * 95? Remember order of operations. | 285 | Order of operations (PEMDAS): first 2*95=190, then 95+190=285. | basic_operations |
5,241 | fractions | medium | What is 2/10 + 5/9? Give as simplified fraction. | 34/45 | Common denominator 10*9=90. 2/10=18/90, 5/9=50/90. Sum = 68/90 = 34/45 simplified. | fraction_operations |
5,242 | algebra | easy | Solve for x: 15x + 13 = 43 | 2 | Subtract 13 from both sides: 15x = 43-13=30. Then divide by 15: x = 30/15 = 2. | linear_equation |
5,243 | algebra | easy | Solve for x: 4x - 19 = -7 | 3 | Add 19 to both sides: 4x = -7+19=12. Then x = 12/4 = 3. | linear_equation |
5,244 | fractions | medium | What is 2/6 - 17/4? Give as simplified fraction. | -47/12 | Common denominator 24. Numerator 8-102=-94. So -94/24 simplifies to -47/12. | fraction_operations |
5,245 | roots | easy | What is the square root of 16? | 4 | Find number that when squared gives 16. 4*4=16, so sqrt(16)=4. | square_roots |
5,246 | 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 |
5,247 | calculus | medium | What is the derivative of 1x^3 with respect to x? | 3x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^3] = 1*3*x^2 = 3x^2. | derivative |
5,248 | arithmetic | easy | What is 353 + 733? | 1086 | Add the two numbers: 353 + 733 = 1086. | basic_operations |
5,249 | word_problems | easy | If you have 63 dollars and you buy 30 more dollars, how many dollars do you have in total? | 93 | Add initial 63 plus bought 30: 63+30=93. | addition_word |
5,250 | calculus | medium | What is the derivative of 2x^6 with respect to x? | 12x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^6] = 2*6*x^5 = 12x^5. | derivative |
5,251 | percentages | easy | What is 17% of 787? | 133.79 | Calculate 17/100 * 787 = 0.17*787 = 133.79. | percentages |
5,252 | arithmetic | easy | What is 701 + 24? | 725 | Add the two numbers: 701 + 24 = 725. | basic_operations |
5,253 | arithmetic | easy | What is 10 + 61 * 88? Remember order of operations. | 5378 | Order of operations (PEMDAS): first 61*88=5368, then 10+5368=5378. | basic_operations |
5,254 | arithmetic | easy | What is 96 + 68 * 21? Remember order of operations. | 1524 | Order of operations (PEMDAS): first 68*21=1428, then 96+1428=1524. | basic_operations |
5,255 | arithmetic | easy | What is 36 * 9? | 324 | Multiply: 36 * 9 = 324. | basic_operations |
5,256 | calculus | medium | What is the derivative of 3x^3 with respect to x? | 9x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^3] = 3*3*x^2 = 9x^2. | derivative |
5,257 | arithmetic | easy | What is 821 + 890? | 1711 | Add the two numbers: 821 + 890 = 1711. | basic_operations |
5,258 | arithmetic | easy | What is 514 - 58? | 456 | Subtract: 514 - 58 = 456. | basic_operations |
5,259 | number_theory | medium | What is the LCM (least common multiple) of 54 and 51? | 918 | LCM = |54*51| / GCD(54,51). GCD=3, so LCM=2754/3=918. | lcm |
5,260 | arithmetic | easy | What is 393 - 240? | 153 | Subtract: 393 - 240 = 153. | basic_operations |
5,261 | arithmetic | easy | What is 585 - 525? | 60 | Subtract: 585 - 525 = 60. | basic_operations |
5,262 | exponents | easy | What is 11^4? | 14641 | 11^4 means multiply 11 by itself 4 times: 11*11*11*11 = 14641. | exponents |
5,263 | geometry | easy | Find the area of a circle with radius 42. Use pi=3.14159, round to 2 decimals. | 5541.77 | Area = pi*r^2 = 3.14159*42^2 = 3.14159*1764 = 5541.77. | circle_area |
5,264 | arithmetic | easy | What is 989 - 452? | 537 | Subtract: 989 - 452 = 537. | basic_operations |
5,265 | exponents | easy | What is 11^3? | 1331 | 11^3 means multiply 11 by itself 3 times: 11*11*11 = 1331. | exponents |
5,266 | percentages | easy | What is 73% of 427? | 311.71 | Calculate 73/100 * 427 = 0.73*427 = 311.71. | percentages |
5,267 | number_theory | medium | What is the LCM (least common multiple) of 2 and 39? | 78 | LCM = |2*39| / GCD(2,39). GCD=1, so LCM=78/1=78. | lcm |
5,268 | algebra | medium | Solve for x: x^2 - 16 = 0 | x = 4, -4 | Factor: (x - 4)(x - -4) = x^2 -(0)x + -16 = 0. So x = 4 or -4. Check sum = 0, product = -16. | quadratic |
5,269 | algebra | easy | Solve for x: 6x - 1 = -73 | -12 | Add 1 to both sides: 6x = -73+1=-72. Then x = -72/6 = -12. | linear_equation |
5,270 | 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 |
5,271 | arithmetic | easy | What is 1976 / 13? | 152 | Divide: 1976 ÷ 13 = 152 because 13*152=1976. | division |
5,272 | fractions | medium | What is 14/6 * 11/19? Give as simplified fraction. | 77/57 | Multiply numerators: 14*11=154. Denominators: 6*19=114. Simplify by gcd 2 to get 77/57. | fraction_operations |
5,273 | roots | easy | What is the square root of 324? | 18 | Find number that when squared gives 324. 18*18=324, so sqrt(324)=18. | square_roots |
5,274 | algebra | easy | Solve for x: 4x + 36 = 84 | 12 | Subtract 36 from both sides: 4x = 84-36=48. Then divide by 4: x = 48/4 = 12. | linear_equation |
5,275 | arithmetic | easy | What is 88 + 80 * 64? Remember order of operations. | 5208 | Order of operations (PEMDAS): first 80*64=5120, then 88+5120=5208. | basic_operations |
5,276 | 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 |
5,277 | percentages | easy | What is 93% of 319? | 296.67 | Calculate 93/100 * 319 = 0.93*319 = 296.67. | percentages |
5,278 | arithmetic | easy | What is 49 + 34 * 74? Remember order of operations. | 2565 | Order of operations (PEMDAS): first 34*74=2516, then 49+2516=2565. | basic_operations |
5,279 | roots | easy | What is the square root of 256? | 16 | Find number that when squared gives 256. 16*16=256, so sqrt(256)=16. | square_roots |
5,280 | algebra | easy | Solve for x: 10x + 8 = -82 | -9 | Subtract 8 from both sides: 10x = -82-8=-90. Then divide by 10: x = -90/10 = -9. | linear_equation |
5,281 | number_theory | medium | What is the LCM (least common multiple) of 86 and 8? | 344 | LCM = |86*8| / GCD(86,8). GCD=2, so LCM=688/2=344. | lcm |
5,282 | percentages | easy | What is 29% of 252? | 73.08 | Calculate 29/100 * 252 = 0.29*252 = 73.08. | percentages |
5,283 | geometry | easy | Find the perimeter of a rectangle with length 5 and width 89. | 188 | Perimeter = 2*(length+width) = 2*(5+89) = 2*94 = 188. | rectangle_perim |
5,284 | percentages | easy | What is 10% of 81? | 8.1 | Calculate 10/100 * 81 = 0.1*81 = 8.1. | percentages |
5,285 | number_theory | medium | What is the LCM (least common multiple) of 86 and 68? | 2924 | LCM = |86*68| / GCD(86,68). GCD=2, so LCM=5848/2=2924. | lcm |
5,286 | calculus | medium | What is the derivative of 6x^2 with respect to x? | 12x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^2] = 6*2*x^1 = 12x. | derivative |
5,287 | geometry | easy | Find the area of a circle with radius 30. Use pi=3.14159, round to 2 decimals. | 2827.43 | Area = pi*r^2 = 3.14159*30^2 = 3.14159*900 = 2827.43. | circle_area |
5,288 | calculus | medium | What is the derivative of 10x^7 with respect to x? | 70x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^7] = 10*7*x^6 = 70x^6. | derivative |
5,289 | geometry | easy | Find the circumference of a circle with radius 22. Use pi=3.14159, round to 2 decimals. | 138.23 | Circumference = 2*pi*r = 2*3.14159*22 = 138.23. | circle_circum |
5,290 | word_problems | easy | If you have 56 dollars and you buy 38 more dollars, how many dollars do you have in total? | 94 | Add initial 56 plus bought 38: 56+38=94. | addition_word |
5,291 | roots | easy | What is the square root of 169? | 13 | Find number that when squared gives 169. 13*13=169, so sqrt(169)=13. | square_roots |
5,292 | number_theory | medium | What is the LCM (least common multiple) of 31 and 56? | 1736 | LCM = |31*56| / GCD(31,56). GCD=1, so LCM=1736/1=1736. | lcm |
5,293 | statistics | easy | What is the mean (average) of 51, 50, 94, 77? | 68 | Mean = sum/count. Sum = 51+50+94+77=272. Count=4. Mean=272/4=68.0. | mean |
5,294 | calculus | medium | What is the derivative of 2x^8 with respect to x? | 16x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^8] = 2*8*x^7 = 16x^7. | derivative |
5,295 | 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 |
5,296 | geometry | easy | Find the perimeter of a rectangle with length 11 and width 23. | 68 | Perimeter = 2*(length+width) = 2*(11+23) = 2*34 = 68. | rectangle_perim |
5,297 | 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 |
5,298 | number_theory | medium | What is the GCD (greatest common divisor) of 3 and 69? | 3 | Find greatest number dividing both 3 and 69. Divisors common, greatest is 3. | gcd |
5,299 | roots | easy | What is the square root of 1600? | 40 | Find number that when squared gives 1600. 40*40=1600, so sqrt(1600)=40. | square_roots |
5,300 | exponents | easy | What is 10^2? | 100 | 10^2 means multiply 10 by itself 2 times: 10*10 = 100. | exponents |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.