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 |
|---|---|---|---|---|---|---|
729,701 | arithmetic | easy | What is 70 + 3 * 21? Remember order of operations. | 133 | Order of operations (PEMDAS): first 3*21=63, then 70+63=133. | basic_operations |
729,702 | arithmetic | easy | What is 1288 / 23? | 56 | Divide: 1288 ÷ 23 = 56 because 23*56=1288. | division |
729,703 | statistics | easy | What is the mean (average) of 47, 13, 83, 59? | 50.5 | Mean = sum/count. Sum = 47+13+83+59=202. Count=4. Mean=202/4=50.5. | mean |
729,704 | arithmetic | easy | What is 553 - 386? | 167 | Subtract: 553 - 386 = 167. | basic_operations |
729,705 | word_problems | easy | If you have 28 books and you buy 3 more books, how many books do you have in total? | 31 | Add initial 28 plus bought 3: 28+3=31. | addition_word |
729,706 | number_theory | medium | What is the LCM (least common multiple) of 89 and 56? | 4984 | LCM = |89*56| / GCD(89,56). GCD=1, so LCM=4984/1=4984. | lcm |
729,707 | exponents | easy | What is 9^2? | 81 | 9^2 means multiply 9 by itself 2 times: 9*9 = 81. | exponents |
729,708 | geometry | easy | Find the area of a rectangle with length 45 and width 40. | 1800 | Area = length * width = 45*40 = 1800. | rectangle_area |
729,709 | roots | easy | What is the square root of 2025? | 45 | Find number that when squared gives 2025. 45*45=2025, so sqrt(2025)=45. | square_roots |
729,710 | fractions | medium | What is 2/7 * 2/9? Give as simplified fraction. | 4/63 | Multiply numerators: 2*2=4. Denominators: 7*9=63. Simplify by gcd 1 to get 4/63. | fraction_operations |
729,711 | arithmetic | easy | What is 15089 / 79? | 191 | Divide: 15089 ÷ 79 = 191 because 79*191=15089. | division |
729,712 | roots | easy | What is the square root of 2304? | 48 | Find number that when squared gives 2304. 48*48=2304, so sqrt(2304)=48. | square_roots |
729,713 | 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 |
729,714 | number_theory | medium | What is the LCM (least common multiple) of 39 and 75? | 975 | LCM = |39*75| / GCD(39,75). GCD=3, so LCM=2925/3=975. | lcm |
729,715 | 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 |
729,716 | arithmetic | easy | What is 918 + 139 * 13? Remember order of operations. | 2725 | Order of operations (PEMDAS): first 139*13=1807, then 918+1807=2725. | basic_operations |
729,717 | arithmetic | easy | What is 26602 divided by 84? Give answer to 2 decimal places. | 316.69 | Calculate 26602/ 84 = 316.6905, rounded to 2 decimals is 316.69. | division |
729,718 | arithmetic | easy | What is 532 + 881 * 40? Remember order of operations. | 35772 | Order of operations (PEMDAS): first 881*40=35240, then 532+35240=35772. | basic_operations |
729,719 | arithmetic | easy | What is 11715 / 71? | 165 | Divide: 11715 ÷ 71 = 165 because 71*165=11715. | division |
729,720 | arithmetic | easy | What is 12 * 70? | 840 | Multiply: 12 * 70 = 840. | basic_operations |
729,721 | arithmetic | easy | What is 207 + 216 * 58? Remember order of operations. | 12735 | Order of operations (PEMDAS): first 216*58=12528, then 207+12528=12735. | basic_operations |
729,722 | geometry | easy | Find the area of a rectangle with length 78 and width 42. | 3276 | Area = length * width = 78*42 = 3276. | rectangle_area |
729,723 | algebra | easy | Solve for x: 17x + 4 = -132 | -8 | Subtract 4 from both sides: 17x = -132-4=-136. Then divide by 17: x = -136/17 = -8. | linear_equation |
729,724 | statistics | easy | What is the mean (average) of 78, 86, 91, 34, 79? | 73.6 | Mean = sum/count. Sum = 78+86+91+34+79=368. Count=5. Mean=368/5=73.6. | mean |
729,725 | 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 |
729,726 | geometry | easy | Find the area of a triangle with base 17 and height 47. | 399.5 | Area = 0.5*base*height = 0.5*17*47 = 399.5. | triangle_area |
729,727 | calculus | medium | What is the derivative of 4x^7 with respect to x? | 28x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^7] = 4*7*x^6 = 28x^6. | derivative |
729,728 | algebra | easy | Solve for x: 20x + 3 = 63 | 3 | Subtract 3 from both sides: 20x = 63-3=60. Then divide by 20: x = 60/20 = 3. | linear_equation |
729,729 | percentages | easy | What is 75% of 148? | 111 | Calculate 75/100 * 148 = 0.75*148 = 111. | percentages |
729,730 | arithmetic | easy | What is 21186 divided by 65? Give answer to 2 decimal places. | 325.94 | Calculate 21186/ 65 = 325.9385, rounded to 2 decimals is 325.94. | division |
729,731 | exponents | easy | What is 9^2? | 81 | 9^2 means multiply 9 by itself 2 times: 9*9 = 81. | exponents |
729,732 | geometry | easy | Find the area of a triangle with base 64 and height 3. | 96 | Area = 0.5*base*height = 0.5*64*3 = 96. | triangle_area |
729,733 | arithmetic | easy | What is 1150 / 50? | 23 | Divide: 1150 ÷ 50 = 23 because 50*23=1150. | division |
729,734 | fractions | medium | What is 10/16 * 11/9? Give as simplified fraction. | 55/72 | Multiply numerators: 10*11=110. Denominators: 16*9=144. Simplify by gcd 2 to get 55/72. | fraction_operations |
729,735 | arithmetic | easy | What is 72 + 28 * 91? Remember order of operations. | 2620 | Order of operations (PEMDAS): first 28*91=2548, then 72+2548=2620. | basic_operations |
729,736 | exponents | easy | What is 10^2? | 100 | 10^2 means multiply 10 by itself 2 times: 10*10 = 100. | exponents |
729,737 | word_problems | easy | If you have 9 candies and you buy 39 more candies, how many candies do you have in total? | 48 | Add initial 9 plus bought 39: 9+39=48. | addition_word |
729,738 | statistics | easy | What is the mean (average) of 41, 100, 69, 14, 33? | 51.4 | Mean = sum/count. Sum = 41+100+69+14+33=257. Count=5. Mean=257/5=51.4. | mean |
729,739 | algebra | easy | Solve for x: 15x - 22 = -67 | -3 | Add 22 to both sides: 15x = -67+22=-45. Then x = -45/15 = -3. | linear_equation |
729,740 | arithmetic | easy | What is 910 - 170? | 740 | Subtract: 910 - 170 = 740. | basic_operations |
729,741 | arithmetic | easy | What is 39 * 99? | 3861 | Multiply: 39 * 99 = 3861. | basic_operations |
729,742 | arithmetic | easy | What is 11088 / 63? | 176 | Divide: 11088 ÷ 63 = 176 because 63*176=11088. | division |
729,743 | geometry | easy | Find the area of a triangle with base 90 and height 13. | 585 | Area = 0.5*base*height = 0.5*90*13 = 585. | triangle_area |
729,744 | arithmetic | easy | What is 57 * 17? | 969 | Multiply: 57 * 17 = 969. | basic_operations |
729,745 | arithmetic | easy | What is 11340 / 60? | 189 | Divide: 11340 ÷ 60 = 189 because 60*189=11340. | division |
729,746 | word_problems | easy | If you have 38 pencils and you buy 24 more pencils, how many pencils do you have in total? | 62 | Add initial 38 plus bought 24: 38+24=62. | addition_word |
729,747 | arithmetic | easy | What is 19 + 88 * 56? Remember order of operations. | 4947 | Order of operations (PEMDAS): first 88*56=4928, then 19+4928=4947. | basic_operations |
729,748 | algebra | medium | Solve for x: x^2 - 3x - 10 = 0 | x = -2, 5 | Factor: (x - -2)(x - 5) = x^2 -(3)x + -10 = 0. So x = -2 or 5. Check sum = 3, product = -10. | quadratic |
729,749 | fractions | medium | What is 12/15 + 5/18? Give as simplified fraction. | 97/90 | Common denominator 15*18=270. 12/15=216/270, 5/18=75/270. Sum = 291/270 = 97/90 simplified. | fraction_operations |
729,750 | algebra | easy | Solve for x: 2x - 10 = -38 | -14 | Add 10 to both sides: 2x = -38+10=-28. Then x = -28/2 = -14. | linear_equation |
729,751 | algebra | easy | Solve for x: 1x - 49 = -56 | -7 | Add 49 to both sides: 1x = -56+49=-7. Then x = -7/1 = -7. | linear_equation |
729,752 | arithmetic | easy | What is 28710 / 58? | 495 | Divide: 28710 ÷ 58 = 495 because 58*495=28710. | division |
729,753 | arithmetic | easy | What is 666 - 531? | 135 | Subtract: 666 - 531 = 135. | basic_operations |
729,754 | statistics | easy | What is the mean (average) of 10, 61, 88? | 53 | Mean = sum/count. Sum = 10+61+88=159. Count=3. Mean=159/3=53.0. | mean |
729,755 | statistics | easy | What is the mean (average) of 89, 17, 71? | 59 | Mean = sum/count. Sum = 89+17+71=177. Count=3. Mean=177/3=59.0. | mean |
729,756 | 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 |
729,757 | word_problems | easy | If you have 51 books and you buy 31 more books, how many books do you have in total? | 82 | Add initial 51 plus bought 31: 51+31=82. | addition_word |
729,758 | arithmetic | easy | What is 40 + 4 * 31? Remember order of operations. | 164 | Order of operations (PEMDAS): first 4*31=124, then 40+124=164. | basic_operations |
729,759 | algebra | easy | Solve for x: 19x - 31 = -316 | -15 | Add 31 to both sides: 19x = -316+31=-285. Then x = -285/19 = -15. | linear_equation |
729,760 | algebra | easy | Solve for x: 19x + 8 = -353 | -19 | Subtract 8 from both sides: 19x = -353-8=-361. Then divide by 19: x = -361/19 = -19. | linear_equation |
729,761 | geometry | easy | Find the area of a rectangle with length 7 and width 96. | 672 | Area = length * width = 7*96 = 672. | rectangle_area |
729,762 | 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 |
729,763 | 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 |
729,764 | geometry | easy | Find the area of a triangle with base 30 and height 53. | 795 | Area = 0.5*base*height = 0.5*30*53 = 795. | triangle_area |
729,765 | algebra | easy | Solve for x: 18x - 19 = -217 | -11 | Add 19 to both sides: 18x = -217+19=-198. Then x = -198/18 = -11. | linear_equation |
729,766 | calculus | medium | What is the derivative of 7x^6 with respect to x? | 42x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^6] = 7*6*x^5 = 42x^5. | derivative |
729,767 | arithmetic | easy | What is 12540 / 38? | 330 | Divide: 12540 ÷ 38 = 330 because 38*330=12540. | division |
729,768 | percentages | easy | What is 55% of 772? | 424.6 | Calculate 55/100 * 772 = 0.55*772 = 424.6. | percentages |
729,769 | percentages | easy | What is 9% of 23? | 2.07 | Calculate 9/100 * 23 = 0.09*23 = 2.07. | percentages |
729,770 | geometry | easy | Find the perimeter of a rectangle with length 77 and width 22. | 198 | Perimeter = 2*(length+width) = 2*(77+22) = 2*99 = 198. | rectangle_perim |
729,771 | statistics | easy | What is the mean (average) of 29, 41, 98? | 56 | Mean = sum/count. Sum = 29+41+98=168. Count=3. Mean=168/3=56.0. | mean |
729,772 | percentages | easy | What is 62% of 719? | 445.78 | Calculate 62/100 * 719 = 0.62*719 = 445.78. | percentages |
729,773 | geometry | easy | Find the perimeter of a rectangle with length 27 and width 14. | 82 | Perimeter = 2*(length+width) = 2*(27+14) = 2*41 = 82. | rectangle_perim |
729,774 | 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 |
729,775 | exponents | easy | What is 11^3? | 1331 | 11^3 means multiply 11 by itself 3 times: 11*11*11 = 1331. | exponents |
729,776 | fractions | medium | What is 1/10 - 8/11? Give as simplified fraction. | -69/110 | Common denominator 110. Numerator 11-80=-69. So -69/110 simplifies to -69/110. | fraction_operations |
729,777 | calculus | medium | What is the derivative of 1x^2 with respect to x? | 2x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^2] = 1*2*x^1 = 2x. | derivative |
729,778 | algebra | easy | Solve for x: 18x + 35 = 161 | 7 | Subtract 35 from both sides: 18x = 161-35=126. Then divide by 18: x = 126/18 = 7. | linear_equation |
729,779 | word_problems | easy | If you have 18 dollars and you buy 36 more dollars, how many dollars do you have in total? | 54 | Add initial 18 plus bought 36: 18+36=54. | addition_word |
729,780 | statistics | easy | What is the mean (average) of 17, 8, 6, 55, 5? | 18.2 | Mean = sum/count. Sum = 17+8+6+55+5=91. Count=5. Mean=91/5=18.2. | mean |
729,781 | roots | easy | What is the square root of 841? | 29 | Find number that when squared gives 841. 29*29=841, so sqrt(841)=29. | square_roots |
729,782 | arithmetic | easy | What is 864 + 453 * 74? Remember order of operations. | 34386 | Order of operations (PEMDAS): first 453*74=33522, then 864+33522=34386. | basic_operations |
729,783 | word_problems | easy | If you have 82 candies and you buy 37 more candies, how many candies do you have in total? | 119 | Add initial 82 plus bought 37: 82+37=119. | addition_word |
729,784 | arithmetic | easy | What is 7473 / 53? | 141 | Divide: 7473 ÷ 53 = 141 because 53*141=7473. | division |
729,785 | geometry | easy | Find the circumference of a circle with radius 31. Use pi=3.14159, round to 2 decimals. | 194.78 | Circumference = 2*pi*r = 2*3.14159*31 = 194.78. | circle_circum |
729,786 | arithmetic | easy | What is 630 + 598? | 1228 | Add the two numbers: 630 + 598 = 1228. | basic_operations |
729,787 | number_theory | medium | What is the LCM (least common multiple) of 15 and 62? | 930 | LCM = |15*62| / GCD(15,62). GCD=1, so LCM=930/1=930. | lcm |
729,788 | arithmetic | easy | What is 933 divided by 12? Give answer to 2 decimal places. | 77.75 | Calculate 933/ 12 = 77.7500, rounded to 2 decimals is 77.75. | division |
729,789 | arithmetic | easy | What is 202 + 50 * 81? Remember order of operations. | 4252 | Order of operations (PEMDAS): first 50*81=4050, then 202+4050=4252. | basic_operations |
729,790 | algebra | medium | Solve for x: x^2 + 12x + 35 = 0 | x = -5, -7 | Factor: (x - -5)(x - -7) = x^2 -(-12)x + 35 = 0. So x = -5 or -7. Check sum = -12, product = 35. | quadratic |
729,791 | arithmetic | easy | What is 20 + 62 * 12? Remember order of operations. | 764 | Order of operations (PEMDAS): first 62*12=744, then 20+744=764. | basic_operations |
729,792 | arithmetic | easy | What is 10244 divided by 90? Give answer to 2 decimal places. | 113.82 | Calculate 10244/ 90 = 113.8222, rounded to 2 decimals is 113.82. | division |
729,793 | word_problems | easy | If you have 52 candies and you buy 3 more candies, how many candies do you have in total? | 55 | Add initial 52 plus bought 3: 52+3=55. | addition_word |
729,794 | arithmetic | easy | What is 862 - 240? | 622 | Subtract: 862 - 240 = 622. | basic_operations |
729,795 | 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 |
729,796 | word_problems | easy | If you have 80 apples and you buy 18 more apples, how many apples do you have in total? | 98 | Add initial 80 plus bought 18: 80+18=98. | addition_word |
729,797 | word_problems | easy | If you have 73 apples and you buy 18 more apples, how many apples do you have in total? | 91 | Add initial 73 plus bought 18: 73+18=91. | addition_word |
729,798 | percentages | easy | What is 25% of 971? | 242.75 | Calculate 25/100 * 971 = 0.25*971 = 242.75. | percentages |
729,799 | geometry | easy | Find the area of a circle with radius 29. Use pi=3.14159, round to 2 decimals. | 2642.08 | Area = pi*r^2 = 3.14159*29^2 = 3.14159*841 = 2642.08. | circle_area |
729,800 | geometry | easy | Find the perimeter of a rectangle with length 34 and width 50. | 168 | Perimeter = 2*(length+width) = 2*(34+50) = 2*84 = 168. | rectangle_perim |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.