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 |
|---|---|---|---|---|---|---|
730,701 | arithmetic | easy | What is 81 * 48? | 3888 | Multiply: 81 * 48 = 3888. | basic_operations |
730,702 | arithmetic | easy | What is 333 + 243 * 74? Remember order of operations. | 18315 | Order of operations (PEMDAS): first 243*74=17982, then 333+17982=18315. | basic_operations |
730,703 | statistics | easy | What is the mean (average) of 84, 88, 66, 89? | 81.75 | Mean = sum/count. Sum = 84+88+66+89=327. Count=4. Mean=327/4=81.75. | mean |
730,704 | arithmetic | easy | What is 268 - 110? | 158 | Subtract: 268 - 110 = 158. | basic_operations |
730,705 | 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 |
730,706 | geometry | easy | Find the area of a rectangle with length 94 and width 76. | 7144 | Area = length * width = 94*76 = 7144. | rectangle_area |
730,707 | fractions | medium | What is 11/13 * 10/19? Give as simplified fraction. | 110/247 | Multiply numerators: 11*10=110. Denominators: 13*19=247. Simplify by gcd 1 to get 110/247. | fraction_operations |
730,708 | arithmetic | easy | What is 994 - 222? | 772 | Subtract: 994 - 222 = 772. | basic_operations |
730,709 | algebra | medium | Solve for x: x^2 + 2x = 0 | x = 0, -2 | Factor: (x - 0)(x - -2) = x^2 -(-2)x + 0 = 0. So x = 0 or -2. Check sum = -2, product = 0. | quadratic |
730,710 | word_problems | easy | If you have 51 dollars and you buy 14 more dollars, how many dollars do you have in total? | 65 | Add initial 51 plus bought 14: 51+14=65. | addition_word |
730,711 | statistics | easy | What is the mean (average) of 85, 34, 37, 16? | 43 | Mean = sum/count. Sum = 85+34+37+16=172. Count=4. Mean=172/4=43.0. | mean |
730,712 | percentages | easy | What is 10% of 223? | 22.3 | Calculate 10/100 * 223 = 0.1*223 = 22.3. | percentages |
730,713 | arithmetic | easy | What is 52 * 33? | 1716 | Multiply: 52 * 33 = 1716. | basic_operations |
730,714 | algebra | medium | Solve for x: x^2 + 16x + 63 = 0 | x = -9, -7 | Factor: (x - -9)(x - -7) = x^2 -(-16)x + 63 = 0. So x = -9 or -7. Check sum = -16, product = 63. | quadratic |
730,715 | arithmetic | easy | What is 13590 / 30? | 453 | Divide: 13590 ÷ 30 = 453 because 30*453=13590. | division |
730,716 | word_problems | easy | If you have 88 apples and you buy 42 more apples, how many apples do you have in total? | 130 | Add initial 88 plus bought 42: 88+42=130. | addition_word |
730,717 | statistics | easy | What is the mean (average) of 88, 89, 89, 92? | 89.5 | Mean = sum/count. Sum = 88+89+89+92=358. Count=4. Mean=358/4=89.5. | mean |
730,718 | statistics | easy | What is the mean (average) of 96, 25, 37, 10, 40? | 41.6 | Mean = sum/count. Sum = 96+25+37+10+40=208. Count=5. Mean=208/5=41.6. | mean |
730,719 | arithmetic | easy | What is 630 + 541 * 27? Remember order of operations. | 15237 | Order of operations (PEMDAS): first 541*27=14607, then 630+14607=15237. | basic_operations |
730,720 | roots | easy | What is the square root of 1? | 1 | Find number that when squared gives 1. 1*1=1, so sqrt(1)=1. | square_roots |
730,721 | arithmetic | easy | What is 826 - 285? | 541 | Subtract: 826 - 285 = 541. | basic_operations |
730,722 | statistics | easy | What is the mean (average) of 76, 34, 53? | 54.33 | Mean = sum/count. Sum = 76+34+53=163. Count=3. Mean=163/3=54.33. | mean |
730,723 | arithmetic | easy | What is 23 + 95 * 75? Remember order of operations. | 7148 | Order of operations (PEMDAS): first 95*75=7125, then 23+7125=7148. | basic_operations |
730,724 | algebra | easy | Solve for x: 1x + 41 = 54 | 13 | Subtract 41 from both sides: 1x = 54-41=13. Then divide by 1: x = 13/1 = 13. | linear_equation |
730,725 | word_problems | easy | If you have 63 books and you buy 18 more books, how many books do you have in total? | 81 | Add initial 63 plus bought 18: 63+18=81. | addition_word |
730,726 | arithmetic | easy | What is 76 * 31? | 2356 | Multiply: 76 * 31 = 2356. | basic_operations |
730,727 | geometry | easy | Find the area of a triangle with base 93 and height 81. | 3766.5 | Area = 0.5*base*height = 0.5*93*81 = 3766.5. | triangle_area |
730,728 | fractions | medium | What is 13/10 * 5/16? Give as simplified fraction. | 13/32 | Multiply numerators: 13*5=65. Denominators: 10*16=160. Simplify by gcd 5 to get 13/32. | fraction_operations |
730,729 | number_theory | medium | What is the GCD (greatest common divisor) of 85 and 39? | 1 | Find greatest number dividing both 85 and 39. Divisors common, greatest is 1. | gcd |
730,730 | arithmetic | easy | What is 46 * 12? | 552 | Multiply: 46 * 12 = 552. | basic_operations |
730,731 | arithmetic | easy | What is 34799 / 89? | 391 | Divide: 34799 ÷ 89 = 391 because 89*391=34799. | division |
730,732 | geometry | easy | Find the area of a rectangle with length 83 and width 39. | 3237 | Area = length * width = 83*39 = 3237. | rectangle_area |
730,733 | algebra | easy | Solve for x: 8x + 6 = -98 | -13 | Subtract 6 from both sides: 8x = -98-6=-104. Then divide by 8: x = -104/8 = -13. | linear_equation |
730,734 | 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 |
730,735 | arithmetic | easy | What is 745 + 301? | 1046 | Add the two numbers: 745 + 301 = 1046. | basic_operations |
730,736 | arithmetic | easy | What is 5863 / 13? | 451 | Divide: 5863 ÷ 13 = 451 because 13*451=5863. | division |
730,737 | arithmetic | easy | What is 764 + 712? | 1476 | Add the two numbers: 764 + 712 = 1476. | basic_operations |
730,738 | algebra | easy | Solve for x: 15x + 25 = -185 | -14 | Subtract 25 from both sides: 15x = -185-25=-210. Then divide by 15: x = -210/15 = -14. | linear_equation |
730,739 | calculus | medium | What is the derivative of 2x^4 with respect to x? | 8x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^4] = 2*4*x^3 = 8x^3. | derivative |
730,740 | geometry | easy | Find the perimeter of a rectangle with length 25 and width 48. | 146 | Perimeter = 2*(length+width) = 2*(25+48) = 2*73 = 146. | rectangle_perim |
730,741 | roots | easy | What is the square root of 900? | 30 | Find number that when squared gives 900. 30*30=900, so sqrt(900)=30. | square_roots |
730,742 | word_problems | easy | If you have 23 apples and you buy 49 more apples, how many apples do you have in total? | 72 | Add initial 23 plus bought 49: 23+49=72. | addition_word |
730,743 | percentages | easy | What is 50% of 881? | 440.5 | Calculate 50/100 * 881 = 0.5*881 = 440.5. | percentages |
730,744 | algebra | medium | Solve for x: x^2 - 1 = 0 | x = 1, -1 | Factor: (x - 1)(x - -1) = x^2 -(0)x + -1 = 0. So x = 1 or -1. Check sum = 0, product = -1. | quadratic |
730,745 | 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 |
730,746 | arithmetic | easy | What is 79 * 87? | 6873 | Multiply: 79 * 87 = 6873. | basic_operations |
730,747 | arithmetic | easy | What is 16485 divided by 90? Give answer to 2 decimal places. | 183.17 | Calculate 16485/ 90 = 183.1667, rounded to 2 decimals is 183.17. | division |
730,748 | word_problems | easy | If you have 65 dollars and you buy 10 more dollars, how many dollars do you have in total? | 75 | Add initial 65 plus bought 10: 65+10=75. | addition_word |
730,749 | calculus | medium | What is the derivative of 4x^5 with respect to x? | 20x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^5] = 4*5*x^4 = 20x^4. | derivative |
730,750 | algebra | easy | Solve for x: 7x + 43 = 78 | 5 | Subtract 43 from both sides: 7x = 78-43=35. Then divide by 7: x = 35/7 = 5. | linear_equation |
730,751 | arithmetic | easy | What is 701 - 373? | 328 | Subtract: 701 - 373 = 328. | basic_operations |
730,752 | arithmetic | easy | What is 867 - 801? | 66 | Subtract: 867 - 801 = 66. | basic_operations |
730,753 | geometry | easy | Find the area of a circle with radius 15. Use pi=3.14159, round to 2 decimals. | 706.86 | Area = pi*r^2 = 3.14159*15^2 = 3.14159*225 = 706.86. | circle_area |
730,754 | arithmetic | easy | What is 626 + 458 * 53? Remember order of operations. | 24900 | Order of operations (PEMDAS): first 458*53=24274, then 626+24274=24900. | basic_operations |
730,755 | geometry | easy | Find the area of a triangle with base 70 and height 13. | 455 | Area = 0.5*base*height = 0.5*70*13 = 455. | triangle_area |
730,756 | 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 |
730,757 | number_theory | medium | What is the LCM (least common multiple) of 30 and 79? | 2370 | LCM = |30*79| / GCD(30,79). GCD=1, so LCM=2370/1=2370. | lcm |
730,758 | number_theory | medium | What is the LCM (least common multiple) of 100 and 99? | 9900 | LCM = |100*99| / GCD(100,99). GCD=1, so LCM=9900/1=9900. | lcm |
730,759 | 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 |
730,760 | fractions | medium | What is 16/13 + 13/19? Give as simplified fraction. | 473/247 | Common denominator 13*19=247. 16/13=304/247, 13/19=169/247. Sum = 473/247 = 473/247 simplified. | fraction_operations |
730,761 | geometry | easy | Find the area of a circle with radius 40. Use pi=3.14159, round to 2 decimals. | 5026.55 | Area = pi*r^2 = 3.14159*40^2 = 3.14159*1600 = 5026.55. | circle_area |
730,762 | algebra | easy | Solve for x: 20x - 32 = -212 | -9 | Add 32 to both sides: 20x = -212+32=-180. Then x = -180/20 = -9. | linear_equation |
730,763 | exponents | easy | What is 6^3? | 216 | 6^3 means multiply 6 by itself 3 times: 6*6*6 = 216. | exponents |
730,764 | exponents | easy | What is 7^2? | 49 | 7^2 means multiply 7 by itself 2 times: 7*7 = 49. | exponents |
730,765 | fractions | medium | What is 7/9 + 9/10? Give as simplified fraction. | 151/90 | Common denominator 9*10=90. 7/9=70/90, 9/10=81/90. Sum = 151/90 = 151/90 simplified. | fraction_operations |
730,766 | arithmetic | easy | What is 83 * 23? | 1909 | Multiply: 83 * 23 = 1909. | basic_operations |
730,767 | arithmetic | easy | What is 1970 / 5? | 394 | Divide: 1970 ÷ 5 = 394 because 5*394=1970. | division |
730,768 | arithmetic | easy | What is 454 - 112? | 342 | Subtract: 454 - 112 = 342. | basic_operations |
730,769 | 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 |
730,770 | fractions | medium | What is 5/18 - 5/7? Give as simplified fraction. | -55/126 | Common denominator 126. Numerator 35-90=-55. So -55/126 simplifies to -55/126. | fraction_operations |
730,771 | percentages | easy | What is 36% of 800? | 288 | Calculate 36/100 * 800 = 0.36*800 = 288. | percentages |
730,772 | roots | easy | What is the square root of 225? | 15 | Find number that when squared gives 225. 15*15=225, so sqrt(225)=15. | square_roots |
730,773 | number_theory | medium | What is the GCD (greatest common divisor) of 3 and 62? | 1 | Find greatest number dividing both 3 and 62. Divisors common, greatest is 1. | gcd |
730,774 | arithmetic | easy | What is 766 + 257? | 1023 | Add the two numbers: 766 + 257 = 1023. | basic_operations |
730,775 | arithmetic | easy | What is 437 + 530? | 967 | Add the two numbers: 437 + 530 = 967. | basic_operations |
730,776 | arithmetic | easy | What is 286 - 103? | 183 | Subtract: 286 - 103 = 183. | basic_operations |
730,777 | algebra | medium | Solve for x: x^2 + 6x + 8 = 0 | x = -2, -4 | Factor: (x - -2)(x - -4) = x^2 -(-6)x + 8 = 0. So x = -2 or -4. Check sum = -6, product = 8. | quadratic |
730,778 | geometry | easy | Find the area of a circle with radius 1. Use pi=3.14159, round to 2 decimals. | 3.14 | Area = pi*r^2 = 3.14159*1^2 = 3.14159*1 = 3.14. | circle_area |
730,779 | roots | easy | What is the square root of 2500? | 50 | Find number that when squared gives 2500. 50*50=2500, so sqrt(2500)=50. | square_roots |
730,780 | 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 |
730,781 | fractions | medium | What is 2/13 - 9/4? Give as simplified fraction. | -109/52 | Common denominator 52. Numerator 8-117=-109. So -109/52 simplifies to -109/52. | fraction_operations |
730,782 | arithmetic | easy | What is 955 - 878? | 77 | Subtract: 955 - 878 = 77. | basic_operations |
730,783 | statistics | easy | What is the mean (average) of 91, 19, 82? | 64 | Mean = sum/count. Sum = 91+19+82=192. Count=3. Mean=192/3=64.0. | mean |
730,784 | 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 |
730,785 | 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 |
730,786 | percentages | easy | What is 14% of 227? | 31.78 | Calculate 14/100 * 227 = 0.14*227 = 31.78. | percentages |
730,787 | statistics | easy | What is the mean (average) of 65, 95, 98, 77? | 83.75 | Mean = sum/count. Sum = 65+95+98+77=335. Count=4. Mean=335/4=83.75. | mean |
730,788 | arithmetic | easy | What is 836 + 713 * 4? Remember order of operations. | 3688 | Order of operations (PEMDAS): first 713*4=2852, then 836+2852=3688. | basic_operations |
730,789 | arithmetic | easy | What is 647 - 572? | 75 | Subtract: 647 - 572 = 75. | basic_operations |
730,790 | statistics | easy | What is the mean (average) of 63, 82, 34, 86, 74? | 67.8 | Mean = sum/count. Sum = 63+82+34+86+74=339. Count=5. Mean=339/5=67.8. | mean |
730,791 | exponents | easy | What is 10^4? | 10000 | 10^4 means multiply 10 by itself 4 times: 10*10*10*10 = 10000. | exponents |
730,792 | statistics | easy | What is the mean (average) of 19, 58, 36? | 37.67 | Mean = sum/count. Sum = 19+58+36=113. Count=3. Mean=113/3=37.67. | mean |
730,793 | number_theory | medium | What is the GCD (greatest common divisor) of 3 and 13? | 1 | Find greatest number dividing both 3 and 13. Divisors common, greatest is 1. | gcd |
730,794 | fractions | medium | What is 9/13 + 10/8? Give as simplified fraction. | 101/52 | Common denominator 13*8=104. 9/13=72/104, 10/8=130/104. Sum = 202/104 = 101/52 simplified. | fraction_operations |
730,795 | percentages | easy | What is 64% of 704? | 450.56 | Calculate 64/100 * 704 = 0.64*704 = 450.56. | percentages |
730,796 | calculus | medium | What is the derivative of 7x^2 with respect to x? | 14x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^2] = 7*2*x^1 = 14x. | derivative |
730,797 | number_theory | medium | What is the GCD (greatest common divisor) of 53 and 57? | 1 | Find greatest number dividing both 53 and 57. Divisors common, greatest is 1. | gcd |
730,798 | 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 |
730,799 | arithmetic | easy | What is 13356 / 28? | 477 | Divide: 13356 ÷ 28 = 477 because 28*477=13356. | division |
730,800 | number_theory | medium | What is the LCM (least common multiple) of 24 and 51? | 408 | LCM = |24*51| / GCD(24,51). GCD=3, so LCM=1224/3=408. | lcm |
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