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 |
|---|---|---|---|---|---|---|
730,301 | calculus | medium | What is the derivative of 10x^6 with respect to x? | 60x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^6] = 10*6*x^5 = 60x^5. | derivative |
730,302 | calculus | medium | What is the derivative of 8x^2 with respect to x? | 16x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^2] = 8*2*x^1 = 16x. | derivative |
730,303 | word_problems | easy | If you have 5 dollars and you buy 31 more dollars, how many dollars do you have in total? | 36 | Add initial 5 plus bought 31: 5+31=36. | addition_word |
730,304 | roots | easy | What is the square root of 1156? | 34 | Find number that when squared gives 1156. 34*34=1156, so sqrt(1156)=34. | square_roots |
730,305 | number_theory | medium | What is the LCM (least common multiple) of 49 and 95? | 4655 | LCM = |49*95| / GCD(49,95). GCD=1, so LCM=4655/1=4655. | lcm |
730,306 | exponents | easy | What is 5^2? | 25 | 5^2 means multiply 5 by itself 2 times: 5*5 = 25. | exponents |
730,307 | percentages | easy | What is 77% of 932? | 717.64 | Calculate 77/100 * 932 = 0.77*932 = 717.64. | percentages |
730,308 | exponents | easy | What is 7^3? | 343 | 7^3 means multiply 7 by itself 3 times: 7*7*7 = 343. | exponents |
730,309 | statistics | easy | What is the mean (average) of 31, 30, 7, 23? | 22.75 | Mean = sum/count. Sum = 31+30+7+23=91. Count=4. Mean=91/4=22.75. | mean |
730,310 | fractions | medium | What is 8/7 + 14/11? Give as simplified fraction. | 186/77 | Common denominator 7*11=77. 8/7=88/77, 14/11=98/77. Sum = 186/77 = 186/77 simplified. | fraction_operations |
730,311 | 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 |
730,312 | percentages | easy | What is 70% of 796? | 557.2 | Calculate 70/100 * 796 = 0.7*796 = 557.2. | percentages |
730,313 | calculus | medium | What is the derivative of 6x^5 with respect to x? | 30x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^5] = 6*5*x^4 = 30x^4. | derivative |
730,314 | calculus | medium | What is the derivative of 3x^7 with respect to x? | 21x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^7] = 3*7*x^6 = 21x^6. | derivative |
730,315 | exponents | easy | What is 4^5? | 1024 | 4^5 means multiply 4 by itself 5 times: 4*4*4*4*4 = 1024. | exponents |
730,316 | percentages | easy | What is 54% of 725? | 391.5 | Calculate 54/100 * 725 = 0.54*725 = 391.5. | percentages |
730,317 | fractions | medium | What is 14/20 + 11/10? Give as simplified fraction. | 9/5 | Common denominator 20*10=200. 14/20=140/200, 11/10=220/200. Sum = 360/200 = 9/5 simplified. | fraction_operations |
730,318 | arithmetic | easy | What is 416 / 2? | 208 | Divide: 416 ÷ 2 = 208 because 2*208=416. | division |
730,319 | geometry | easy | Find the area of a rectangle with length 7 and width 88. | 616 | Area = length * width = 7*88 = 616. | rectangle_area |
730,320 | arithmetic | easy | What is 887 + 686? | 1573 | Add the two numbers: 887 + 686 = 1573. | basic_operations |
730,321 | arithmetic | easy | What is 156 + 475? | 631 | Add the two numbers: 156 + 475 = 631. | basic_operations |
730,322 | arithmetic | easy | What is 68 + 4 * 63? Remember order of operations. | 320 | Order of operations (PEMDAS): first 4*63=252, then 68+252=320. | basic_operations |
730,323 | statistics | easy | What is the mean (average) of 39, 64, 76, 61? | 60 | Mean = sum/count. Sum = 39+64+76+61=240. Count=4. Mean=240/4=60.0. | mean |
730,324 | percentages | easy | What is 88% of 810? | 712.8 | Calculate 88/100 * 810 = 0.88*810 = 712.8. | percentages |
730,325 | fractions | medium | What is 17/5 - 16/3? Give as simplified fraction. | -29/15 | Common denominator 15. Numerator 51-80=-29. So -29/15 simplifies to -29/15. | fraction_operations |
730,326 | algebra | easy | Solve for x: 19x + 15 = -270 | -15 | Subtract 15 from both sides: 19x = -270-15=-285. Then divide by 19: x = -285/19 = -15. | linear_equation |
730,327 | arithmetic | easy | What is 325 + 868? | 1193 | Add the two numbers: 325 + 868 = 1193. | basic_operations |
730,328 | calculus | medium | What is the derivative of 7x^3 with respect to x? | 21x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^3] = 7*3*x^2 = 21x^2. | derivative |
730,329 | algebra | medium | Solve for x: x^2 - 2x - 48 = 0 | x = -6, 8 | Factor: (x - -6)(x - 8) = x^2 -(2)x + -48 = 0. So x = -6 or 8. Check sum = 2, product = -48. | quadratic |
730,330 | geometry | easy | Find the circumference of a circle with radius 21. Use pi=3.14159, round to 2 decimals. | 131.95 | Circumference = 2*pi*r = 2*3.14159*21 = 131.95. | circle_circum |
730,331 | number_theory | medium | What is the LCM (least common multiple) of 13 and 26? | 26 | LCM = |13*26| / GCD(13,26). GCD=13, so LCM=338/13=26. | lcm |
730,332 | number_theory | medium | What is the LCM (least common multiple) of 34 and 60? | 1020 | LCM = |34*60| / GCD(34,60). GCD=2, so LCM=2040/2=1020. | lcm |
730,333 | arithmetic | easy | What is 706 + 155? | 861 | Add the two numbers: 706 + 155 = 861. | basic_operations |
730,334 | number_theory | medium | What is the GCD (greatest common divisor) of 17 and 85? | 17 | Find greatest number dividing both 17 and 85. Divisors common, greatest is 17. | gcd |
730,335 | algebra | medium | Solve for x: x^2 + 3x = 0 | x = 0, -3 | Factor: (x - 0)(x - -3) = x^2 -(-3)x + 0 = 0. So x = 0 or -3. Check sum = -3, product = 0. | quadratic |
730,336 | percentages | easy | What is 86% of 543? | 466.98 | Calculate 86/100 * 543 = 0.86*543 = 466.98. | percentages |
730,337 | number_theory | medium | What is the LCM (least common multiple) of 16 and 47? | 752 | LCM = |16*47| / GCD(16,47). GCD=1, so LCM=752/1=752. | lcm |
730,338 | percentages | easy | What is 11% of 963? | 105.93 | Calculate 11/100 * 963 = 0.11*963 = 105.93. | percentages |
730,339 | arithmetic | easy | What is 615 + 131 * 22? Remember order of operations. | 3497 | Order of operations (PEMDAS): first 131*22=2882, then 615+2882=3497. | basic_operations |
730,340 | arithmetic | easy | What is 931 - 730? | 201 | Subtract: 931 - 730 = 201. | basic_operations |
730,341 | exponents | easy | What is 4^2? | 16 | 4^2 means multiply 4 by itself 2 times: 4*4 = 16. | exponents |
730,342 | arithmetic | easy | What is 75 * 61? | 4575 | Multiply: 75 * 61 = 4575. | basic_operations |
730,343 | fractions | medium | What is 6/6 - 6/9? Give as simplified fraction. | 1/3 | Common denominator 54. Numerator 54-36=18. So 18/54 simplifies to 1/3. | fraction_operations |
730,344 | statistics | easy | What is the mean (average) of 59, 22, 15? | 32 | Mean = sum/count. Sum = 59+22+15=96. Count=3. Mean=96/3=32.0. | mean |
730,345 | roots | easy | What is the square root of 9? | 3 | Find number that when squared gives 9. 3*3=9, so sqrt(9)=3. | square_roots |
730,346 | algebra | easy | Solve for x: 20x + 12 = -288 | -15 | Subtract 12 from both sides: 20x = -288-12=-300. Then divide by 20: x = -300/20 = -15. | linear_equation |
730,347 | arithmetic | easy | What is 613 - 552? | 61 | Subtract: 613 - 552 = 61. | basic_operations |
730,348 | arithmetic | easy | What is 16470 / 90? | 183 | Divide: 16470 ÷ 90 = 183 because 90*183=16470. | division |
730,349 | arithmetic | easy | What is 824 - 496? | 328 | Subtract: 824 - 496 = 328. | basic_operations |
730,350 | geometry | easy | Find the area of a rectangle with length 12 and width 63. | 756 | Area = length * width = 12*63 = 756. | rectangle_area |
730,351 | algebra | easy | Solve for x: 20x - 24 = 36 | 3 | Add 24 to both sides: 20x = 36+24=60. Then x = 60/20 = 3. | linear_equation |
730,352 | fractions | medium | What is 1/8 - 2/6? Give as simplified fraction. | -5/24 | Common denominator 48. Numerator 6-16=-10. So -10/48 simplifies to -5/24. | fraction_operations |
730,353 | calculus | medium | What is the indefinite integral of x^1 dx? | x^2/2 + C | Power rule for integration: integral x^n dx = x^(n+1)/(n+1) + C. So integral x^1 = x^2/2 + C. | integral |
730,354 | arithmetic | easy | What is 379 - 226? | 153 | Subtract: 379 - 226 = 153. | basic_operations |
730,355 | statistics | easy | What is the mean (average) of 63, 39, 54, 26, 26? | 41.6 | Mean = sum/count. Sum = 63+39+54+26+26=208. Count=5. Mean=208/5=41.6. | mean |
730,356 | algebra | easy | Solve for x: 19x + 8 = 179 | 9 | Subtract 8 from both sides: 19x = 179-8=171. Then divide by 19: x = 171/19 = 9. | linear_equation |
730,357 | roots | easy | What is the square root of 2401? | 49 | Find number that when squared gives 2401. 49*49=2401, so sqrt(2401)=49. | square_roots |
730,358 | 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 |
730,359 | calculus | medium | What is the indefinite integral of x^4 dx? | x^5/5 + C | Power rule for integration: integral x^n dx = x^(n+1)/(n+1) + C. So integral x^4 = x^5/5 + C. | integral |
730,360 | algebra | medium | Solve for x: x^2 + 8x - 9 = 0 | x = 1, -9 | Factor: (x - 1)(x - -9) = x^2 -(-8)x + -9 = 0. So x = 1 or -9. Check sum = -8, product = -9. | quadratic |
730,361 | fractions | medium | What is 1/16 + 13/2? Give as simplified fraction. | 105/16 | Common denominator 16*2=32. 1/16=2/32, 13/2=208/32. Sum = 210/32 = 105/16 simplified. | fraction_operations |
730,362 | arithmetic | easy | What is 16 + 43 * 62? Remember order of operations. | 2682 | Order of operations (PEMDAS): first 43*62=2666, then 16+2666=2682. | basic_operations |
730,363 | arithmetic | easy | What is 7 * 97? | 679 | Multiply: 7 * 97 = 679. | basic_operations |
730,364 | word_problems | easy | If you have 89 candies and you buy 18 more candies, how many candies do you have in total? | 107 | Add initial 89 plus bought 18: 89+18=107. | addition_word |
730,365 | roots | easy | What is the square root of 484? | 22 | Find number that when squared gives 484. 22*22=484, so sqrt(484)=22. | square_roots |
730,366 | exponents | easy | What is 6^5? | 7776 | 6^5 means multiply 6 by itself 5 times: 6*6*6*6*6 = 7776. | exponents |
730,367 | number_theory | medium | What is the GCD (greatest common divisor) of 88 and 73? | 1 | Find greatest number dividing both 88 and 73. Divisors common, greatest is 1. | gcd |
730,368 | arithmetic | easy | What is 8892 / 52? | 171 | Divide: 8892 ÷ 52 = 171 because 52*171=8892. | division |
730,369 | algebra | medium | Solve for x: x^2 + 11x + 18 = 0 | x = -9, -2 | Factor: (x - -9)(x - -2) = x^2 -(-11)x + 18 = 0. So x = -9 or -2. Check sum = -11, product = 18. | quadratic |
730,370 | algebra | easy | Solve for x: 19x - 38 = -266 | -12 | Add 38 to both sides: 19x = -266+38=-228. Then x = -228/19 = -12. | linear_equation |
730,371 | number_theory | medium | What is the LCM (least common multiple) of 9 and 35? | 315 | LCM = |9*35| / GCD(9,35). GCD=1, so LCM=315/1=315. | lcm |
730,372 | geometry | easy | Find the circumference of a circle with radius 18. Use pi=3.14159, round to 2 decimals. | 113.1 | Circumference = 2*pi*r = 2*3.14159*18 = 113.1. | circle_circum |
730,373 | algebra | easy | Solve for x: 12x + 45 = 273 | 19 | Subtract 45 from both sides: 12x = 273-45=228. Then divide by 12: x = 228/12 = 19. | linear_equation |
730,374 | arithmetic | easy | What is 18 * 73? | 1314 | Multiply: 18 * 73 = 1314. | basic_operations |
730,375 | exponents | easy | What is 10^5? | 100000 | 10^5 means multiply 10 by itself 5 times: 10*10*10*10*10 = 100000. | exponents |
730,376 | number_theory | medium | What is the LCM (least common multiple) of 51 and 65? | 3315 | LCM = |51*65| / GCD(51,65). GCD=1, so LCM=3315/1=3315. | lcm |
730,377 | arithmetic | easy | What is 113 + 590 * 90? Remember order of operations. | 53213 | Order of operations (PEMDAS): first 590*90=53100, then 113+53100=53213. | basic_operations |
730,378 | fractions | medium | What is 5/17 - 1/11? Give as simplified fraction. | 38/187 | Common denominator 187. Numerator 55-17=38. So 38/187 simplifies to 38/187. | fraction_operations |
730,379 | percentages | easy | What is 89% of 893? | 794.77 | Calculate 89/100 * 893 = 0.89*893 = 794.77. | percentages |
730,380 | exponents | easy | What is 2^5? | 32 | 2^5 means multiply 2 by itself 5 times: 2*2*2*2*2 = 32. | exponents |
730,381 | algebra | easy | Solve for x: 18x + 32 = -166 | -11 | Subtract 32 from both sides: 18x = -166-32=-198. Then divide by 18: x = -198/18 = -11. | linear_equation |
730,382 | arithmetic | easy | What is 2472 divided by 83? Give answer to 2 decimal places. | 29.78 | Calculate 2472/ 83 = 29.7831, rounded to 2 decimals is 29.78. | division |
730,383 | arithmetic | easy | What is 414 + 449? | 863 | Add the two numbers: 414 + 449 = 863. | basic_operations |
730,384 | algebra | medium | Solve for x: x^2 - 4x - 32 = 0 | x = -4, 8 | Factor: (x - -4)(x - 8) = x^2 -(4)x + -32 = 0. So x = -4 or 8. Check sum = 4, product = -32. | quadratic |
730,385 | number_theory | medium | What is the LCM (least common multiple) of 55 and 61? | 3355 | LCM = |55*61| / GCD(55,61). GCD=1, so LCM=3355/1=3355. | lcm |
730,386 | exponents | easy | What is 9^2? | 81 | 9^2 means multiply 9 by itself 2 times: 9*9 = 81. | exponents |
730,387 | statistics | easy | What is the mean (average) of 40, 46, 19? | 35 | Mean = sum/count. Sum = 40+46+19=105. Count=3. Mean=105/3=35.0. | mean |
730,388 | exponents | easy | What is 2^5? | 32 | 2^5 means multiply 2 by itself 5 times: 2*2*2*2*2 = 32. | exponents |
730,389 | geometry | easy | Find the perimeter of a rectangle with length 82 and width 27. | 218 | Perimeter = 2*(length+width) = 2*(82+27) = 2*109 = 218. | rectangle_perim |
730,390 | roots | easy | What is the square root of 1024? | 32 | Find number that when squared gives 1024. 32*32=1024, so sqrt(1024)=32. | square_roots |
730,391 | statistics | easy | What is the mean (average) of 18, 56, 8, 100? | 45.5 | Mean = sum/count. Sum = 18+56+8+100=182. Count=4. Mean=182/4=45.5. | mean |
730,392 | arithmetic | easy | What is 17 * 12? | 204 | Multiply: 17 * 12 = 204. | basic_operations |
730,393 | percentages | easy | What is 74% of 605? | 447.7 | Calculate 74/100 * 605 = 0.74*605 = 447.7. | percentages |
730,394 | 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 |
730,395 | number_theory | medium | What is the GCD (greatest common divisor) of 7 and 69? | 1 | Find greatest number dividing both 7 and 69. Divisors common, greatest is 1. | gcd |
730,396 | arithmetic | easy | What is 7956 / 17? | 468 | Divide: 7956 ÷ 17 = 468 because 17*468=7956. | division |
730,397 | word_problems | easy | If you have 9 apples and you buy 20 more apples, how many apples do you have in total? | 29 | Add initial 9 plus bought 20: 9+20=29. | addition_word |
730,398 | exponents | easy | What is 5^5? | 3125 | 5^5 means multiply 5 by itself 5 times: 5*5*5*5*5 = 3125. | exponents |
730,399 | arithmetic | easy | What is 59 + 298? | 357 | Add the two numbers: 59 + 298 = 357. | basic_operations |
730,400 | percentages | easy | What is 16% of 246? | 39.36 | Calculate 16/100 * 246 = 0.16*246 = 39.36. | percentages |
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