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 |
|---|---|---|---|---|---|---|
8,701 | 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 |
8,702 | algebra | easy | Solve for x: 15x + 45 = 195 | 10 | Subtract 45 from both sides: 15x = 195-45=150. Then divide by 15: x = 150/15 = 10. | linear_equation |
8,703 | 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 |
8,704 | roots | easy | What is the square root of 144? | 12 | Find number that when squared gives 144. 12*12=144, so sqrt(144)=12. | square_roots |
8,705 | statistics | easy | What is the mean (average) of 68, 60, 95? | 74.33 | Mean = sum/count. Sum = 68+60+95=223. Count=3. Mean=223/3=74.33. | mean |
8,706 | calculus | medium | What is the derivative of 4x^2 with respect to x? | 8x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^2] = 4*2*x^1 = 8x. | derivative |
8,707 | algebra | easy | Solve for x: 1x + 14 = 24 | 10 | Subtract 14 from both sides: 1x = 24-14=10. Then divide by 1: x = 10/1 = 10. | linear_equation |
8,708 | word_problems | easy | If you have 76 dollars and you buy 15 more dollars, how many dollars do you have in total? | 91 | Add initial 76 plus bought 15: 76+15=91. | addition_word |
8,709 | word_problems | easy | If you have 15 apples and you buy 48 more apples, how many apples do you have in total? | 63 | Add initial 15 plus bought 48: 15+48=63. | addition_word |
8,710 | 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 |
8,711 | percentages | easy | What is 29% of 273? | 79.17 | Calculate 29/100 * 273 = 0.29*273 = 79.17. | percentages |
8,712 | number_theory | medium | What is the LCM (least common multiple) of 97 and 97? | 97 | LCM = |97*97| / GCD(97,97). GCD=97, so LCM=9409/97=97. | lcm |
8,713 | statistics | easy | What is the mean (average) of 44, 55, 23? | 40.67 | Mean = sum/count. Sum = 44+55+23=122. Count=3. Mean=122/3=40.67. | mean |
8,714 | fractions | medium | What is 5/16 + 16/3? Give as simplified fraction. | 271/48 | Common denominator 16*3=48. 5/16=15/48, 16/3=256/48. Sum = 271/48 = 271/48 simplified. | fraction_operations |
8,715 | geometry | easy | Find the area of a circle with radius 14. Use pi=3.14159, round to 2 decimals. | 615.75 | Area = pi*r^2 = 3.14159*14^2 = 3.14159*196 = 615.75. | circle_area |
8,716 | 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 |
8,717 | number_theory | medium | What is the LCM (least common multiple) of 91 and 75? | 6825 | LCM = |91*75| / GCD(91,75). GCD=1, so LCM=6825/1=6825. | lcm |
8,718 | fractions | medium | What is 2/6 * 15/9? Give as simplified fraction. | 5/9 | Multiply numerators: 2*15=30. Denominators: 6*9=54. Simplify by gcd 6 to get 5/9. | fraction_operations |
8,719 | algebra | easy | Solve for x: 6x + 20 = 32 | 2 | Subtract 20 from both sides: 6x = 32-20=12. Then divide by 6: x = 12/6 = 2. | linear_equation |
8,720 | word_problems | easy | If you have 7 books and you buy 20 more books, how many books do you have in total? | 27 | Add initial 7 plus bought 20: 7+20=27. | addition_word |
8,721 | geometry | easy | Find the area of a rectangle with length 98 and width 94. | 9212 | Area = length * width = 98*94 = 9212. | rectangle_area |
8,722 | algebra | easy | Solve for x: 11x - 7 = 4 | 1 | Add 7 to both sides: 11x = 4+7=11. Then x = 11/11 = 1. | linear_equation |
8,723 | exponents | easy | What is 8^3? | 512 | 8^3 means multiply 8 by itself 3 times: 8*8*8 = 512. | exponents |
8,724 | word_problems | easy | If you have 63 apples and you buy 42 more apples, how many apples do you have in total? | 105 | Add initial 63 plus bought 42: 63+42=105. | addition_word |
8,725 | exponents | easy | What is 3^2? | 9 | 3^2 means multiply 3 by itself 2 times: 3*3 = 9. | exponents |
8,726 | 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 |
8,727 | arithmetic | easy | What is 808 - 369? | 439 | Subtract: 808 - 369 = 439. | basic_operations |
8,728 | exponents | easy | What is 8^5? | 32768 | 8^5 means multiply 8 by itself 5 times: 8*8*8*8*8 = 32768. | exponents |
8,729 | percentages | easy | What is 68% of 401? | 272.68 | Calculate 68/100 * 401 = 0.68*401 = 272.68. | percentages |
8,730 | roots | easy | What is the square root of 625? | 25 | Find number that when squared gives 625. 25*25=625, so sqrt(625)=25. | square_roots |
8,731 | arithmetic | easy | What is 86 * 34? | 2924 | Multiply: 86 * 34 = 2924. | basic_operations |
8,732 | 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 |
8,733 | percentages | easy | What is 27% of 192? | 51.84 | Calculate 27/100 * 192 = 0.27*192 = 51.84. | percentages |
8,734 | algebra | medium | Solve for x: x^2 - 1x - 72 = 0 | x = 9, -8 | Factor: (x - 9)(x - -8) = x^2 -(1)x + -72 = 0. So x = 9 or -8. Check sum = 1, product = -72. | quadratic |
8,735 | algebra | medium | Solve for x: x^2 - 6x - 7 = 0 | x = -1, 7 | Factor: (x - -1)(x - 7) = x^2 -(6)x + -7 = 0. So x = -1 or 7. Check sum = 6, product = -7. | quadratic |
8,736 | roots | easy | What is the square root of 529? | 23 | Find number that when squared gives 529. 23*23=529, so sqrt(529)=23. | square_roots |
8,737 | word_problems | easy | If you have 93 apples and you buy 29 more apples, how many apples do you have in total? | 122 | Add initial 93 plus bought 29: 93+29=122. | addition_word |
8,738 | arithmetic | easy | What is 676 + 870 * 55? Remember order of operations. | 48526 | Order of operations (PEMDAS): first 870*55=47850, then 676+47850=48526. | basic_operations |
8,739 | geometry | easy | Find the area of a circle with radius 38. Use pi=3.14159, round to 2 decimals. | 4536.46 | Area = pi*r^2 = 3.14159*38^2 = 3.14159*1444 = 4536.46. | circle_area |
8,740 | geometry | easy | Find the perimeter of a rectangle with length 54 and width 36. | 180 | Perimeter = 2*(length+width) = 2*(54+36) = 2*90 = 180. | rectangle_perim |
8,741 | arithmetic | easy | What is 72 * 77? | 5544 | Multiply: 72 * 77 = 5544. | basic_operations |
8,742 | arithmetic | easy | What is 88 + 132 * 92? Remember order of operations. | 12232 | Order of operations (PEMDAS): first 132*92=12144, then 88+12144=12232. | basic_operations |
8,743 | percentages | easy | What is 74% of 524? | 387.76 | Calculate 74/100 * 524 = 0.74*524 = 387.76. | percentages |
8,744 | arithmetic | easy | What is 65 + 64 * 31? Remember order of operations. | 2049 | Order of operations (PEMDAS): first 64*31=1984, then 65+1984=2049. | basic_operations |
8,745 | calculus | medium | What is the derivative of 9x^3 with respect to x? | 27x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^3] = 9*3*x^2 = 27x^2. | derivative |
8,746 | percentages | easy | What is 32% of 365? | 116.8 | Calculate 32/100 * 365 = 0.32*365 = 116.8. | percentages |
8,747 | 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 |
8,748 | arithmetic | easy | What is 329 + 913 * 71? Remember order of operations. | 65152 | Order of operations (PEMDAS): first 913*71=64823, then 329+64823=65152. | basic_operations |
8,749 | arithmetic | easy | What is 970 + 120 * 47? Remember order of operations. | 6610 | Order of operations (PEMDAS): first 120*47=5640, then 970+5640=6610. | basic_operations |
8,750 | geometry | easy | Find the perimeter of a rectangle with length 42 and width 52. | 188 | Perimeter = 2*(length+width) = 2*(42+52) = 2*94 = 188. | rectangle_perim |
8,751 | word_problems | easy | If you have 7 candies and you buy 9 more candies, how many candies do you have in total? | 16 | Add initial 7 plus bought 9: 7+9=16. | addition_word |
8,752 | statistics | easy | What is the mean (average) of 66, 99, 59? | 74.67 | Mean = sum/count. Sum = 66+99+59=224. Count=3. Mean=224/3=74.67. | mean |
8,753 | arithmetic | easy | What is 949 - 327? | 622 | Subtract: 949 - 327 = 622. | basic_operations |
8,754 | number_theory | medium | What is the LCM (least common multiple) of 60 and 90? | 180 | LCM = |60*90| / GCD(60,90). GCD=30, so LCM=5400/30=180. | lcm |
8,755 | number_theory | medium | What is the LCM (least common multiple) of 64 and 44? | 704 | LCM = |64*44| / GCD(64,44). GCD=4, so LCM=2816/4=704. | lcm |
8,756 | number_theory | medium | What is the LCM (least common multiple) of 48 and 4? | 48 | LCM = |48*4| / GCD(48,4). GCD=4, so LCM=192/4=48. | lcm |
8,757 | 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 |
8,758 | percentages | easy | What is 89% of 645? | 574.05 | Calculate 89/100 * 645 = 0.89*645 = 574.05. | percentages |
8,759 | 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 |
8,760 | arithmetic | easy | What is 47 * 37? | 1739 | Multiply: 47 * 37 = 1739. | basic_operations |
8,761 | percentages | easy | What is 80% of 354? | 283.2 | Calculate 80/100 * 354 = 0.8*354 = 283.2. | percentages |
8,762 | algebra | medium | Solve for x: x^2 + 6x = 0 | x = 0, -6 | Factor: (x - 0)(x - -6) = x^2 -(-6)x + 0 = 0. So x = 0 or -6. Check sum = -6, product = 0. | quadratic |
8,763 | number_theory | medium | What is the LCM (least common multiple) of 19 and 8? | 152 | LCM = |19*8| / GCD(19,8). GCD=1, so LCM=152/1=152. | lcm |
8,764 | algebra | medium | Solve for x: x^2 + 6x - 16 = 0 | x = -8, 2 | Factor: (x - -8)(x - 2) = x^2 -(-6)x + -16 = 0. So x = -8 or 2. Check sum = -6, product = -16. | quadratic |
8,765 | 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 |
8,766 | arithmetic | easy | What is 625 + 645 * 91? Remember order of operations. | 59320 | Order of operations (PEMDAS): first 645*91=58695, then 625+58695=59320. | basic_operations |
8,767 | number_theory | medium | What is the LCM (least common multiple) of 63 and 38? | 2394 | LCM = |63*38| / GCD(63,38). GCD=1, so LCM=2394/1=2394. | lcm |
8,768 | 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 |
8,769 | arithmetic | easy | What is 18 * 61? | 1098 | Multiply: 18 * 61 = 1098. | basic_operations |
8,770 | geometry | easy | Find the circumference of a circle with radius 13. Use pi=3.14159, round to 2 decimals. | 81.68 | Circumference = 2*pi*r = 2*3.14159*13 = 81.68. | circle_circum |
8,771 | arithmetic | easy | What is 19 * 39? | 741 | Multiply: 19 * 39 = 741. | basic_operations |
8,772 | fractions | medium | What is 12/9 + 6/4? Give as simplified fraction. | 17/6 | Common denominator 9*4=36. 12/9=48/36, 6/4=54/36. Sum = 102/36 = 17/6 simplified. | fraction_operations |
8,773 | exponents | easy | What is 6^2? | 36 | 6^2 means multiply 6 by itself 2 times: 6*6 = 36. | exponents |
8,774 | algebra | medium | Solve for x: x^2 - 4x - 32 = 0 | x = 8, -4 | Factor: (x - 8)(x - -4) = x^2 -(4)x + -32 = 0. So x = 8 or -4. Check sum = 4, product = -32. | quadratic |
8,775 | 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 |
8,776 | exponents | easy | What is 12^2? | 144 | 12^2 means multiply 12 by itself 2 times: 12*12 = 144. | exponents |
8,777 | geometry | easy | Find the area of a rectangle with length 23 and width 92. | 2116 | Area = length * width = 23*92 = 2116. | rectangle_area |
8,778 | arithmetic | easy | What is 843 - 565? | 278 | Subtract: 843 - 565 = 278. | basic_operations |
8,779 | algebra | medium | Solve for x: x^2 - 6x + 5 = 0 | x = 1, 5 | Factor: (x - 1)(x - 5) = x^2 -(6)x + 5 = 0. So x = 1 or 5. Check sum = 6, product = 5. | quadratic |
8,780 | roots | easy | What is the square root of 1444? | 38 | Find number that when squared gives 1444. 38*38=1444, so sqrt(1444)=38. | square_roots |
8,781 | arithmetic | easy | What is 725 - 28? | 697 | Subtract: 725 - 28 = 697. | basic_operations |
8,782 | geometry | easy | Find the area of a rectangle with length 18 and width 84. | 1512 | Area = length * width = 18*84 = 1512. | rectangle_area |
8,783 | percentages | easy | What is 20% of 333? | 66.6 | Calculate 20/100 * 333 = 0.2*333 = 66.6. | percentages |
8,784 | exponents | easy | What is 8^2? | 64 | 8^2 means multiply 8 by itself 2 times: 8*8 = 64. | exponents |
8,785 | arithmetic | easy | What is 567 + 922? | 1489 | Add the two numbers: 567 + 922 = 1489. | basic_operations |
8,786 | arithmetic | easy | What is 11480 / 28? | 410 | Divide: 11480 ÷ 28 = 410 because 28*410=11480. | division |
8,787 | geometry | easy | Find the area of a triangle with base 91 and height 47. | 2138.5 | Area = 0.5*base*height = 0.5*91*47 = 2138.5. | triangle_area |
8,788 | statistics | easy | What is the mean (average) of 26, 28, 77? | 43.67 | Mean = sum/count. Sum = 26+28+77=131. Count=3. Mean=131/3=43.67. | mean |
8,789 | 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 |
8,790 | 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 |
8,791 | 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 |
8,792 | algebra | medium | Solve for x: x^2 - 2x - 15 = 0 | x = 5, -3 | Factor: (x - 5)(x - -3) = x^2 -(2)x + -15 = 0. So x = 5 or -3. Check sum = 2, product = -15. | quadratic |
8,793 | exponents | easy | What is 4^2? | 16 | 4^2 means multiply 4 by itself 2 times: 4*4 = 16. | exponents |
8,794 | arithmetic | easy | What is 294 / 21? | 14 | Divide: 294 ÷ 21 = 14 because 21*14=294. | division |
8,795 | fractions | medium | What is 17/4 + 8/3? Give as simplified fraction. | 83/12 | Common denominator 4*3=12. 17/4=51/12, 8/3=32/12. Sum = 83/12 = 83/12 simplified. | fraction_operations |
8,796 | exponents | easy | What is 11^4? | 14641 | 11^4 means multiply 11 by itself 4 times: 11*11*11*11 = 14641. | exponents |
8,797 | arithmetic | easy | What is 7 * 72? | 504 | Multiply: 7 * 72 = 504. | basic_operations |
8,798 | arithmetic | easy | What is 593 - 389? | 204 | Subtract: 593 - 389 = 204. | basic_operations |
8,799 | number_theory | medium | What is the GCD (greatest common divisor) of 21 and 25? | 1 | Find greatest number dividing both 21 and 25. Divisors common, greatest is 1. | gcd |
8,800 | arithmetic | easy | What is 25960 / 88? | 295 | Divide: 25960 ÷ 88 = 295 because 88*295=25960. | division |
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