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 |
|---|---|---|---|---|---|---|
501 | 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 |
502 | arithmetic | easy | What is 38 * 83? | 3154 | Multiply: 38 * 83 = 3154. | basic_operations |
503 | statistics | easy | What is the mean (average) of 88, 52, 39? | 59.67 | Mean = sum/count. Sum = 88+52+39=179. Count=3. Mean=179/3=59.67. | mean |
504 | word_problems | easy | If you have 14 apples and you buy 45 more apples, how many apples do you have in total? | 59 | Add initial 14 plus bought 45: 14+45=59. | addition_word |
505 | 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 |
506 | statistics | easy | What is the mean (average) of 27, 44, 78, 19? | 42 | Mean = sum/count. Sum = 27+44+78+19=168. Count=4. Mean=168/4=42.0. | mean |
507 | roots | easy | What is the square root of 2116? | 46 | Find number that when squared gives 2116. 46*46=2116, so sqrt(2116)=46. | square_roots |
508 | roots | easy | What is the square root of 2209? | 47 | Find number that when squared gives 2209. 47*47=2209, so sqrt(2209)=47. | square_roots |
509 | number_theory | medium | What is the LCM (least common multiple) of 52 and 17? | 884 | LCM = |52*17| / GCD(52,17). GCD=1, so LCM=884/1=884. | lcm |
510 | arithmetic | easy | What is 5208 / 42? | 124 | Divide: 5208 ÷ 42 = 124 because 42*124=5208. | division |
511 | geometry | easy | Find the circumference of a circle with radius 16. Use pi=3.14159, round to 2 decimals. | 100.53 | Circumference = 2*pi*r = 2*3.14159*16 = 100.53. | circle_circum |
512 | algebra | easy | Solve for x: 4x - 44 = -52 | -2 | Add 44 to both sides: 4x = -52+44=-8. Then x = -8/4 = -2. | linear_equation |
513 | calculus | medium | What is the derivative of 10x^8 with respect to x? | 80x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^8] = 10*8*x^7 = 80x^7. | derivative |
514 | 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 |
515 | algebra | medium | Solve for x: x^2 - 8x = 0 | x = 0, 8 | Factor: (x - 0)(x - 8) = x^2 -(8)x + 0 = 0. So x = 0 or 8. Check sum = 8, product = 0. | quadratic |
516 | 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 |
517 | 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 |
518 | word_problems | easy | If you have 68 candies and you buy 20 more candies, how many candies do you have in total? | 88 | Add initial 68 plus bought 20: 68+20=88. | addition_word |
519 | arithmetic | easy | What is 59 + 31 * 51? Remember order of operations. | 1640 | Order of operations (PEMDAS): first 31*51=1581, then 59+1581=1640. | basic_operations |
520 | number_theory | medium | What is the LCM (least common multiple) of 7 and 7? | 7 | LCM = |7*7| / GCD(7,7). GCD=7, so LCM=49/7=7. | lcm |
521 | statistics | easy | What is the mean (average) of 84, 87, 61, 37, 69? | 67.6 | Mean = sum/count. Sum = 84+87+61+37+69=338. Count=5. Mean=338/5=67.6. | mean |
522 | arithmetic | easy | What is 868 + 111? | 979 | Add the two numbers: 868 + 111 = 979. | basic_operations |
523 | number_theory | medium | What is the LCM (least common multiple) of 98 and 52? | 2548 | LCM = |98*52| / GCD(98,52). GCD=2, so LCM=5096/2=2548. | lcm |
524 | arithmetic | easy | What is 25 * 47? | 1175 | Multiply: 25 * 47 = 1175. | basic_operations |
525 | arithmetic | easy | What is 36 * 80? | 2880 | Multiply: 36 * 80 = 2880. | basic_operations |
526 | arithmetic | easy | What is 9004 divided by 18? Give answer to 2 decimal places. | 500.22 | Calculate 9004/ 18 = 500.2222, rounded to 2 decimals is 500.22. | division |
527 | number_theory | medium | What is the LCM (least common multiple) of 44 and 72? | 792 | LCM = |44*72| / GCD(44,72). GCD=4, so LCM=3168/4=792. | lcm |
528 | algebra | easy | Solve for x: 7x + 27 = 111 | 12 | Subtract 27 from both sides: 7x = 111-27=84. Then divide by 7: x = 84/7 = 12. | linear_equation |
529 | calculus | medium | What is the derivative of 1x^6 with respect to x? | 6x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^6] = 1*6*x^5 = 6x^5. | derivative |
530 | arithmetic | easy | What is 141 - 40? | 101 | Subtract: 141 - 40 = 101. | basic_operations |
531 | word_problems | easy | If you have 24 pencils and you buy 39 more pencils, how many pencils do you have in total? | 63 | Add initial 24 plus bought 39: 24+39=63. | addition_word |
532 | algebra | easy | Solve for x: 11x + 28 = 28 | 0 | Subtract 28 from both sides: 11x = 28-28=0. Then divide by 11: x = 0/11 = 0. | linear_equation |
533 | algebra | medium | Solve for x: x^2 - 11x + 18 = 0 | x = 2, 9 | Factor: (x - 2)(x - 9) = x^2 -(11)x + 18 = 0. So x = 2 or 9. Check sum = 11, product = 18. | quadratic |
534 | exponents | easy | What is 11^4? | 14641 | 11^4 means multiply 11 by itself 4 times: 11*11*11*11 = 14641. | exponents |
535 | statistics | easy | What is the mean (average) of 73, 39, 61, 3, 48? | 44.8 | Mean = sum/count. Sum = 73+39+61+3+48=224. Count=5. Mean=224/5=44.8. | mean |
536 | roots | easy | What is the square root of 1936? | 44 | Find number that when squared gives 1936. 44*44=1936, so sqrt(1936)=44. | square_roots |
537 | arithmetic | easy | What is 16445 / 55? | 299 | Divide: 16445 ÷ 55 = 299 because 55*299=16445. | division |
538 | statistics | easy | What is the mean (average) of 84, 100, 75, 74? | 83.25 | Mean = sum/count. Sum = 84+100+75+74=333. Count=4. Mean=333/4=83.25. | mean |
539 | percentages | easy | What is 93% of 53? | 49.29 | Calculate 93/100 * 53 = 0.93*53 = 49.29. | percentages |
540 | statistics | easy | What is the mean (average) of 68, 81, 93? | 80.67 | Mean = sum/count. Sum = 68+81+93=242. Count=3. Mean=242/3=80.67. | mean |
541 | calculus | medium | What is the derivative of 4x^3 with respect to x? | 12x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^3] = 4*3*x^2 = 12x^2. | derivative |
542 | arithmetic | easy | What is 587 + 971 * 90? Remember order of operations. | 87977 | Order of operations (PEMDAS): first 971*90=87390, then 587+87390=87977. | basic_operations |
543 | word_problems | easy | If you have 45 books and you buy 27 more books, how many books do you have in total? | 72 | Add initial 45 plus bought 27: 45+27=72. | addition_word |
544 | calculus | medium | What is the indefinite integral of x^6 dx? | x^7/7 + C | Power rule for integration: integral x^n dx = x^(n+1)/(n+1) + C. So integral x^6 = x^7/7 + C. | integral |
545 | fractions | medium | What is 14/18 * 20/17? Give as simplified fraction. | 140/153 | Multiply numerators: 14*20=280. Denominators: 18*17=306. Simplify by gcd 2 to get 140/153. | fraction_operations |
546 | arithmetic | easy | What is 723 + 142? | 865 | Add the two numbers: 723 + 142 = 865. | basic_operations |
547 | statistics | easy | What is the mean (average) of 49, 41, 23, 59, 69? | 48.2 | Mean = sum/count. Sum = 49+41+23+59+69=241. Count=5. Mean=241/5=48.2. | mean |
548 | roots | easy | What is the square root of 1225? | 35 | Find number that when squared gives 1225. 35*35=1225, so sqrt(1225)=35. | square_roots |
549 | number_theory | medium | What is the LCM (least common multiple) of 87 and 99? | 2871 | LCM = |87*99| / GCD(87,99). GCD=3, so LCM=8613/3=2871. | lcm |
550 | statistics | easy | What is the mean (average) of 32, 36, 72? | 46.67 | Mean = sum/count. Sum = 32+36+72=140. Count=3. Mean=140/3=46.67. | mean |
551 | exponents | easy | What is 5^4? | 625 | 5^4 means multiply 5 by itself 4 times: 5*5*5*5 = 625. | exponents |
552 | exponents | easy | What is 5^5? | 3125 | 5^5 means multiply 5 by itself 5 times: 5*5*5*5*5 = 3125. | exponents |
553 | roots | easy | What is the square root of 961? | 31 | Find number that when squared gives 961. 31*31=961, so sqrt(961)=31. | square_roots |
554 | number_theory | medium | What is the LCM (least common multiple) of 72 and 93? | 2232 | LCM = |72*93| / GCD(72,93). GCD=3, so LCM=6696/3=2232. | lcm |
555 | exponents | easy | What is 3^5? | 243 | 3^5 means multiply 3 by itself 5 times: 3*3*3*3*3 = 243. | exponents |
556 | calculus | medium | What is the derivative of 6x^8 with respect to x? | 48x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^8] = 6*8*x^7 = 48x^7. | derivative |
557 | algebra | easy | Solve for x: 10x - 45 = -65 | -2 | Add 45 to both sides: 10x = -65+45=-20. Then x = -20/10 = -2. | linear_equation |
558 | arithmetic | easy | What is 33 * 96? | 3168 | Multiply: 33 * 96 = 3168. | basic_operations |
559 | fractions | medium | What is 18/10 + 18/10? Give as simplified fraction. | 18/5 | Common denominator 10*10=100. 18/10=180/100, 18/10=180/100. Sum = 360/100 = 18/5 simplified. | fraction_operations |
560 | arithmetic | easy | What is 30400 / 80? | 380 | Divide: 30400 ÷ 80 = 380 because 80*380=30400. | division |
561 | percentages | easy | What is 7% of 686? | 48.02 | Calculate 7/100 * 686 = 0.07*686 = 48.02. | percentages |
562 | percentages | easy | What is 82% of 239? | 195.98 | Calculate 82/100 * 239 = 0.82*239 = 195.98. | percentages |
563 | arithmetic | easy | What is 61 * 13? | 793 | Multiply: 61 * 13 = 793. | basic_operations |
564 | algebra | easy | Solve for x: 1x + 20 = 10 | -10 | Subtract 20 from both sides: 1x = 10-20=-10. Then divide by 1: x = -10/1 = -10. | linear_equation |
565 | calculus | medium | What is the indefinite integral of x^6 dx? | x^7/7 + C | Power rule for integration: integral x^n dx = x^(n+1)/(n+1) + C. So integral x^6 = x^7/7 + C. | integral |
566 | statistics | easy | What is the mean (average) of 84, 26, 97, 37? | 61 | Mean = sum/count. Sum = 84+26+97+37=244. Count=4. Mean=244/4=61.0. | mean |
567 | 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 |
568 | arithmetic | easy | What is 74 * 30? | 2220 | Multiply: 74 * 30 = 2220. | basic_operations |
569 | arithmetic | easy | What is 944 - 936? | 8 | Subtract: 944 - 936 = 8. | basic_operations |
570 | algebra | medium | Solve for x: x^2 + 7x - 18 = 0 | x = -9, 2 | Factor: (x - -9)(x - 2) = x^2 -(-7)x + -18 = 0. So x = -9 or 2. Check sum = -7, product = -18. | quadratic |
571 | statistics | easy | What is the mean (average) of 96, 38, 5? | 46.33 | Mean = sum/count. Sum = 96+38+5=139. Count=3. Mean=139/3=46.33. | mean |
572 | arithmetic | easy | What is 306 + 582? | 888 | Add the two numbers: 306 + 582 = 888. | basic_operations |
573 | 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 |
574 | word_problems | easy | If you have 87 pencils and you buy 35 more pencils, how many pencils do you have in total? | 122 | Add initial 87 plus bought 35: 87+35=122. | addition_word |
575 | statistics | easy | What is the mean (average) of 65, 60, 35? | 53.33 | Mean = sum/count. Sum = 65+60+35=160. Count=3. Mean=160/3=53.33. | mean |
576 | fractions | medium | What is 4/12 * 6/16? Give as simplified fraction. | 1/8 | Multiply numerators: 4*6=24. Denominators: 12*16=192. Simplify by gcd 24 to get 1/8. | fraction_operations |
577 | geometry | easy | Find the perimeter of a rectangle with length 2 and width 95. | 194 | Perimeter = 2*(length+width) = 2*(2+95) = 2*97 = 194. | rectangle_perim |
578 | 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 |
579 | fractions | medium | What is 6/14 - 14/18? Give as simplified fraction. | -22/63 | Common denominator 252. Numerator 108-196=-88. So -88/252 simplifies to -22/63. | fraction_operations |
580 | arithmetic | easy | What is 411 + 686? | 1097 | Add the two numbers: 411 + 686 = 1097. | basic_operations |
581 | statistics | easy | What is the mean (average) of 32, 1, 34, 50? | 29.25 | Mean = sum/count. Sum = 32+1+34+50=117. Count=4. Mean=117/4=29.25. | mean |
582 | percentages | easy | What is 58% of 772? | 447.76 | Calculate 58/100 * 772 = 0.58*772 = 447.76. | percentages |
583 | geometry | easy | Find the area of a circle with radius 20. Use pi=3.14159, round to 2 decimals. | 1256.64 | Area = pi*r^2 = 3.14159*20^2 = 3.14159*400 = 1256.64. | circle_area |
584 | arithmetic | easy | What is 31 * 8? | 248 | Multiply: 31 * 8 = 248. | basic_operations |
585 | word_problems | easy | If you have 44 candies and you buy 11 more candies, how many candies do you have in total? | 55 | Add initial 44 plus bought 11: 44+11=55. | addition_word |
586 | exponents | easy | What is 3^4? | 81 | 3^4 means multiply 3 by itself 4 times: 3*3*3*3 = 81. | exponents |
587 | number_theory | medium | What is the GCD (greatest common divisor) of 79 and 29? | 1 | Find greatest number dividing both 79 and 29. Divisors common, greatest is 1. | gcd |
588 | algebra | easy | Solve for x: 16x - 31 = 113 | 9 | Add 31 to both sides: 16x = 113+31=144. Then x = 144/16 = 9. | linear_equation |
589 | number_theory | medium | What is the LCM (least common multiple) of 54 and 90? | 270 | LCM = |54*90| / GCD(54,90). GCD=18, so LCM=4860/18=270. | lcm |
590 | fractions | medium | What is 8/4 * 17/16? Give as simplified fraction. | 17/8 | Multiply numerators: 8*17=136. Denominators: 4*16=64. Simplify by gcd 8 to get 17/8. | fraction_operations |
591 | number_theory | medium | What is the GCD (greatest common divisor) of 10 and 73? | 1 | Find greatest number dividing both 10 and 73. Divisors common, greatest is 1. | gcd |
592 | arithmetic | easy | What is 849 + 561? | 1410 | Add the two numbers: 849 + 561 = 1410. | basic_operations |
593 | algebra | easy | Solve for x: 6x - 9 = 69 | 13 | Add 9 to both sides: 6x = 69+9=78. Then x = 78/6 = 13. | linear_equation |
594 | word_problems | easy | If you have 19 books and you buy 44 more books, how many books do you have in total? | 63 | Add initial 19 plus bought 44: 19+44=63. | addition_word |
595 | statistics | easy | What is the mean (average) of 66, 58, 8? | 44 | Mean = sum/count. Sum = 66+58+8=132. Count=3. Mean=132/3=44.0. | mean |
596 | word_problems | easy | If you have 21 candies and you buy 33 more candies, how many candies do you have in total? | 54 | Add initial 21 plus bought 33: 21+33=54. | addition_word |
597 | word_problems | easy | If you have 77 pencils and you buy 4 more pencils, how many pencils do you have in total? | 81 | Add initial 77 plus bought 4: 77+4=81. | addition_word |
598 | word_problems | easy | If you have 91 apples and you buy 20 more apples, how many apples do you have in total? | 111 | Add initial 91 plus bought 20: 91+20=111. | addition_word |
599 | calculus | medium | What is the derivative of 1x^4 with respect to x? | 4x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^4] = 1*4*x^3 = 4x^3. | derivative |
600 | fractions | medium | What is 19/4 - 2/15? Give as simplified fraction. | 277/60 | Common denominator 60. Numerator 285-8=277. So 277/60 simplifies to 277/60. | fraction_operations |
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