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 |
|---|---|---|---|---|---|---|
401 | arithmetic | easy | What is 680 - 597? | 83 | Subtract: 680 - 597 = 83. | basic_operations |
402 | calculus | medium | What is the derivative of 10x^3 with respect to x? | 30x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^3] = 10*3*x^2 = 30x^2. | derivative |
403 | arithmetic | easy | What is 43 * 17? | 731 | Multiply: 43 * 17 = 731. | basic_operations |
404 | arithmetic | easy | What is 47 * 3? | 141 | Multiply: 47 * 3 = 141. | basic_operations |
405 | algebra | medium | Solve for x: x^2 + 4x = 0 | x = -4, 0 | Factor: (x - -4)(x - 0) = x^2 -(-4)x + 0 = 0. So x = -4 or 0. Check sum = -4, product = 0. | quadratic |
406 | statistics | easy | What is the mean (average) of 29, 18, 20? | 22.33 | Mean = sum/count. Sum = 29+18+20=67. Count=3. Mean=67/3=22.33. | mean |
407 | arithmetic | easy | What is 99 * 70? | 6930 | Multiply: 99 * 70 = 6930. | basic_operations |
408 | arithmetic | easy | What is 17 * 77? | 1309 | Multiply: 17 * 77 = 1309. | basic_operations |
409 | algebra | medium | Solve for x: x^2 - 4x - 45 = 0 | x = -5, 9 | Factor: (x - -5)(x - 9) = x^2 -(4)x + -45 = 0. So x = -5 or 9. Check sum = 4, product = -45. | quadratic |
410 | algebra | medium | Solve for x: x^2 + 5x - 36 = 0 | x = 4, -9 | Factor: (x - 4)(x - -9) = x^2 -(-5)x + -36 = 0. So x = 4 or -9. Check sum = -5, product = -36. | quadratic |
411 | 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 |
412 | percentages | easy | What is 57% of 626? | 356.82 | Calculate 57/100 * 626 = 0.57*626 = 356.82. | percentages |
413 | exponents | easy | What is 9^3? | 729 | 9^3 means multiply 9 by itself 3 times: 9*9*9 = 729. | exponents |
414 | percentages | easy | What is 40% of 989? | 395.6 | Calculate 40/100 * 989 = 0.4*989 = 395.6. | percentages |
415 | statistics | easy | What is the mean (average) of 48, 87, 74? | 69.67 | Mean = sum/count. Sum = 48+87+74=209. Count=3. Mean=209/3=69.67. | mean |
416 | word_problems | easy | If you have 64 dollars and you buy 50 more dollars, how many dollars do you have in total? | 114 | Add initial 64 plus bought 50: 64+50=114. | addition_word |
417 | 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 |
418 | 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 |
419 | fractions | medium | What is 20/6 * 9/3? Give as simplified fraction. | 10 | Multiply numerators: 20*9=180. Denominators: 6*3=18. Simplify by gcd 18 to get 10. | fraction_operations |
420 | statistics | easy | What is the mean (average) of 71, 14, 92, 67? | 61 | Mean = sum/count. Sum = 71+14+92+67=244. Count=4. Mean=244/4=61.0. | mean |
421 | arithmetic | easy | What is 1634 / 38? | 43 | Divide: 1634 ÷ 38 = 43 because 38*43=1634. | division |
422 | word_problems | easy | If you have 70 candies and you buy 10 more candies, how many candies do you have in total? | 80 | Add initial 70 plus bought 10: 70+10=80. | addition_word |
423 | arithmetic | easy | What is 970 - 933? | 37 | Subtract: 970 - 933 = 37. | basic_operations |
424 | arithmetic | easy | What is 48 * 31? | 1488 | Multiply: 48 * 31 = 1488. | basic_operations |
425 | arithmetic | easy | What is 384 - 230? | 154 | Subtract: 384 - 230 = 154. | basic_operations |
426 | roots | easy | What is the square root of 100? | 10 | Find number that when squared gives 100. 10*10=100, so sqrt(100)=10. | square_roots |
427 | algebra | easy | Solve for x: 2x - 14 = 6 | 10 | Add 14 to both sides: 2x = 6+14=20. Then x = 20/2 = 10. | linear_equation |
428 | algebra | easy | Solve for x: 16x + 7 = 311 | 19 | Subtract 7 from both sides: 16x = 311-7=304. Then divide by 16: x = 304/16 = 19. | linear_equation |
429 | arithmetic | easy | What is 928 + 82 * 3? Remember order of operations. | 1174 | Order of operations (PEMDAS): first 82*3=246, then 928+246=1174. | basic_operations |
430 | algebra | easy | Solve for x: 18x + 43 = 367 | 18 | Subtract 43 from both sides: 18x = 367-43=324. Then divide by 18: x = 324/18 = 18. | linear_equation |
431 | 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 |
432 | exponents | easy | What is 5^4? | 625 | 5^4 means multiply 5 by itself 4 times: 5*5*5*5 = 625. | exponents |
433 | arithmetic | easy | What is 988 divided by 8? Give answer to 2 decimal places. | 123.5 | Calculate 988/ 8 = 123.5000, rounded to 2 decimals is 123.5. | division |
434 | arithmetic | easy | What is 69 * 3? | 207 | Multiply: 69 * 3 = 207. | basic_operations |
435 | percentages | easy | What is 92% of 148? | 136.16 | Calculate 92/100 * 148 = 0.92*148 = 136.16. | percentages |
436 | exponents | easy | What is 8^2? | 64 | 8^2 means multiply 8 by itself 2 times: 8*8 = 64. | exponents |
437 | number_theory | medium | What is the LCM (least common multiple) of 31 and 74? | 2294 | LCM = |31*74| / GCD(31,74). GCD=1, so LCM=2294/1=2294. | lcm |
438 | algebra | medium | Solve for x: x^2 + 2x - 48 = 0 | x = -8, 6 | Factor: (x - -8)(x - 6) = x^2 -(-2)x + -48 = 0. So x = -8 or 6. Check sum = -2, product = -48. | quadratic |
439 | number_theory | medium | What is the GCD (greatest common divisor) of 9 and 68? | 1 | Find greatest number dividing both 9 and 68. Divisors common, greatest is 1. | gcd |
440 | calculus | medium | What is the derivative of 8x^8 with respect to x? | 64x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^8] = 8*8*x^7 = 64x^7. | derivative |
441 | arithmetic | easy | What is 651 - 397? | 254 | Subtract: 651 - 397 = 254. | basic_operations |
442 | number_theory | medium | What is the GCD (greatest common divisor) of 9 and 45? | 9 | Find greatest number dividing both 9 and 45. Divisors common, greatest is 9. | gcd |
443 | arithmetic | easy | What is 29800 / 100? | 298 | Divide: 29800 ÷ 100 = 298 because 100*298=29800. | division |
444 | algebra | easy | Solve for x: 2x - 5 = 23 | 14 | Add 5 to both sides: 2x = 23+5=28. Then x = 28/2 = 14. | linear_equation |
445 | roots | easy | What is the square root of 1764? | 42 | Find number that when squared gives 1764. 42*42=1764, so sqrt(1764)=42. | square_roots |
446 | algebra | medium | Solve for x: x^2 - 9x + 20 = 0 | x = 4, 5 | Factor: (x - 4)(x - 5) = x^2 -(9)x + 20 = 0. So x = 4 or 5. Check sum = 9, product = 20. | quadratic |
447 | algebra | medium | Solve for x: x^2 + 14x + 48 = 0 | x = -6, -8 | Factor: (x - -6)(x - -8) = x^2 -(-14)x + 48 = 0. So x = -6 or -8. Check sum = -14, product = 48. | quadratic |
448 | word_problems | easy | If you have 9 books and you buy 19 more books, how many books do you have in total? | 28 | Add initial 9 plus bought 19: 9+19=28. | addition_word |
449 | arithmetic | easy | What is 811 - 205? | 606 | Subtract: 811 - 205 = 606. | basic_operations |
450 | calculus | medium | What is the derivative of 9x^8 with respect to x? | 72x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^8] = 9*8*x^7 = 72x^7. | derivative |
451 | statistics | easy | What is the mean (average) of 5, 97, 83, 25? | 52.5 | Mean = sum/count. Sum = 5+97+83+25=210. Count=4. Mean=210/4=52.5. | mean |
452 | exponents | easy | What is 7^2? | 49 | 7^2 means multiply 7 by itself 2 times: 7*7 = 49. | exponents |
453 | 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 |
454 | arithmetic | easy | What is 11002 divided by 49? Give answer to 2 decimal places. | 224.53 | Calculate 11002/ 49 = 224.5306, rounded to 2 decimals is 224.53. | division |
455 | 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 |
456 | statistics | easy | What is the mean (average) of 64, 48, 67, 35, 11? | 45 | Mean = sum/count. Sum = 64+48+67+35+11=225. Count=5. Mean=225/5=45.0. | mean |
457 | 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 |
458 | 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 |
459 | algebra | medium | Solve for x: x^2 - 6x - 7 = 0 | x = 7, -1 | Factor: (x - 7)(x - -1) = x^2 -(6)x + -7 = 0. So x = 7 or -1. Check sum = 6, product = -7. | quadratic |
460 | roots | easy | What is the square root of 49? | 7 | Find number that when squared gives 49. 7*7=49, so sqrt(49)=7. | square_roots |
461 | arithmetic | easy | What is 677 - 336? | 341 | Subtract: 677 - 336 = 341. | basic_operations |
462 | 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 |
463 | word_problems | easy | If you have 49 apples and you buy 29 more apples, how many apples do you have in total? | 78 | Add initial 49 plus bought 29: 49+29=78. | addition_word |
464 | number_theory | medium | What is the LCM (least common multiple) of 79 and 56? | 4424 | LCM = |79*56| / GCD(79,56). GCD=1, so LCM=4424/1=4424. | lcm |
465 | arithmetic | easy | What is 688 - 77? | 611 | Subtract: 688 - 77 = 611. | basic_operations |
466 | 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 |
467 | word_problems | easy | If you have 9 apples and you buy 9 more apples, how many apples do you have in total? | 18 | Add initial 9 plus bought 9: 9+9=18. | addition_word |
468 | percentages | easy | What is 100% of 661? | 661 | Calculate 100/100 * 661 = 1.0*661 = 661. | percentages |
469 | number_theory | medium | What is the GCD (greatest common divisor) of 47 and 50? | 1 | Find greatest number dividing both 47 and 50. Divisors common, greatest is 1. | gcd |
470 | algebra | easy | Solve for x: 15x - 3 = 42 | 3 | Add 3 to both sides: 15x = 42+3=45. Then x = 45/15 = 3. | linear_equation |
471 | word_problems | easy | If you have 14 books and you buy 37 more books, how many books do you have in total? | 51 | Add initial 14 plus bought 37: 14+37=51. | addition_word |
472 | number_theory | medium | What is the LCM (least common multiple) of 51 and 41? | 2091 | LCM = |51*41| / GCD(51,41). GCD=1, so LCM=2091/1=2091. | lcm |
473 | percentages | easy | What is 15% of 27? | 4.05 | Calculate 15/100 * 27 = 0.15*27 = 4.05. | percentages |
474 | algebra | medium | Solve for x: x^2 - 11x + 30 = 0 | x = 5, 6 | Factor: (x - 5)(x - 6) = x^2 -(11)x + 30 = 0. So x = 5 or 6. Check sum = 11, product = 30. | quadratic |
475 | 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 |
476 | geometry | easy | Find the area of a circle with radius 46. Use pi=3.14159, round to 2 decimals. | 6647.61 | Area = pi*r^2 = 3.14159*46^2 = 3.14159*2116 = 6647.61. | circle_area |
477 | word_problems | easy | If you have 32 dollars and you buy 40 more dollars, how many dollars do you have in total? | 72 | Add initial 32 plus bought 40: 32+40=72. | addition_word |
478 | statistics | easy | What is the mean (average) of 16, 18, 10? | 14.67 | Mean = sum/count. Sum = 16+18+10=44. Count=3. Mean=44/3=14.67. | mean |
479 | word_problems | easy | If you have 27 candies and you buy 46 more candies, how many candies do you have in total? | 73 | Add initial 27 plus bought 46: 27+46=73. | addition_word |
480 | arithmetic | easy | What is 45 + 91 * 41? Remember order of operations. | 3776 | Order of operations (PEMDAS): first 91*41=3731, then 45+3731=3776. | basic_operations |
481 | exponents | easy | What is 6^3? | 216 | 6^3 means multiply 6 by itself 3 times: 6*6*6 = 216. | exponents |
482 | algebra | medium | Solve for x: x^2 - 7x + 6 = 0 | x = 1, 6 | Factor: (x - 1)(x - 6) = x^2 -(7)x + 6 = 0. So x = 1 or 6. Check sum = 7, product = 6. | quadratic |
483 | percentages | easy | What is 16% of 206? | 32.96 | Calculate 16/100 * 206 = 0.16*206 = 32.96. | percentages |
484 | algebra | easy | Solve for x: 8x + 13 = -139 | -19 | Subtract 13 from both sides: 8x = -139-13=-152. Then divide by 8: x = -152/8 = -19. | linear_equation |
485 | number_theory | medium | What is the LCM (least common multiple) of 71 and 74? | 5254 | LCM = |71*74| / GCD(71,74). GCD=1, so LCM=5254/1=5254. | lcm |
486 | word_problems | easy | If you have 75 pencils and you buy 9 more pencils, how many pencils do you have in total? | 84 | Add initial 75 plus bought 9: 75+9=84. | addition_word |
487 | arithmetic | easy | What is 93 * 62? | 5766 | Multiply: 93 * 62 = 5766. | basic_operations |
488 | 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 |
489 | arithmetic | easy | What is 10 * 58? | 580 | Multiply: 10 * 58 = 580. | basic_operations |
490 | number_theory | medium | What is the GCD (greatest common divisor) of 17 and 100? | 1 | Find greatest number dividing both 17 and 100. Divisors common, greatest is 1. | gcd |
491 | algebra | easy | Solve for x: 14x + 14 = -224 | -17 | Subtract 14 from both sides: 14x = -224-14=-238. Then divide by 14: x = -238/14 = -17. | linear_equation |
492 | arithmetic | easy | What is 5372 / 68? | 79 | Divide: 5372 ÷ 68 = 79 because 68*79=5372. | division |
493 | 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 |
494 | number_theory | medium | What is the GCD (greatest common divisor) of 67 and 37? | 1 | Find greatest number dividing both 67 and 37. Divisors common, greatest is 1. | gcd |
495 | geometry | easy | Find the perimeter of a rectangle with length 82 and width 71. | 306 | Perimeter = 2*(length+width) = 2*(82+71) = 2*153 = 306. | rectangle_perim |
496 | geometry | easy | Find the perimeter of a rectangle with length 81 and width 39. | 240 | Perimeter = 2*(length+width) = 2*(81+39) = 2*120 = 240. | rectangle_perim |
497 | arithmetic | easy | What is 75 + 20 * 22? Remember order of operations. | 515 | Order of operations (PEMDAS): first 20*22=440, then 75+440=515. | basic_operations |
498 | roots | easy | What is the square root of 1369? | 37 | Find number that when squared gives 1369. 37*37=1369, so sqrt(1369)=37. | square_roots |
499 | arithmetic | easy | What is 846 + 885 * 4? Remember order of operations. | 4386 | Order of operations (PEMDAS): first 885*4=3540, then 846+3540=4386. | basic_operations |
500 | geometry | easy | Find the perimeter of a rectangle with length 99 and width 74. | 346 | Perimeter = 2*(length+width) = 2*(99+74) = 2*173 = 346. | rectangle_perim |
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