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 |
|---|---|---|---|---|---|---|
10,701 | statistics | easy | What is the mean (average) of 76, 18, 91? | 61.67 | Mean = sum/count. Sum = 76+18+91=185. Count=3. Mean=185/3=61.67. | mean |
10,702 | algebra | easy | Solve for x: 2x - 21 = -55 | -17 | Add 21 to both sides: 2x = -55+21=-34. Then x = -34/2 = -17. | linear_equation |
10,703 | algebra | easy | Solve for x: 17x + 6 = 6 | 0 | Subtract 6 from both sides: 17x = 6-6=0. Then divide by 17: x = 0/17 = 0. | linear_equation |
10,704 | word_problems | easy | If you have 39 dollars and you buy 3 more dollars, how many dollars do you have in total? | 42 | Add initial 39 plus bought 3: 39+3=42. | addition_word |
10,705 | algebra | medium | Solve for x: x^2 + 13x + 30 = 0 | x = -3, -10 | Factor: (x - -3)(x - -10) = x^2 -(-13)x + 30 = 0. So x = -3 or -10. Check sum = -13, product = 30. | quadratic |
10,706 | fractions | medium | What is 14/2 - 13/16? Give as simplified fraction. | 99/16 | Common denominator 32. Numerator 224-26=198. So 198/32 simplifies to 99/16. | fraction_operations |
10,707 | statistics | easy | What is the mean (average) of 77, 83, 22? | 60.67 | Mean = sum/count. Sum = 77+83+22=182. Count=3. Mean=182/3=60.67. | mean |
10,708 | geometry | easy | Find the area of a triangle with base 61 and height 85. | 2592.5 | Area = 0.5*base*height = 0.5*61*85 = 2592.5. | triangle_area |
10,709 | algebra | medium | Solve for x: x^2 - 2x = 0 | x = 2, 0 | Factor: (x - 2)(x - 0) = x^2 -(2)x + 0 = 0. So x = 2 or 0. Check sum = 2, product = 0. | quadratic |
10,710 | roots | easy | What is the square root of 2401? | 49 | Find number that when squared gives 2401. 49*49=2401, so sqrt(2401)=49. | square_roots |
10,711 | word_problems | easy | If you have 13 candies and you buy 13 more candies, how many candies do you have in total? | 26 | Add initial 13 plus bought 13: 13+13=26. | addition_word |
10,712 | exponents | easy | What is 11^5? | 161051 | 11^5 means multiply 11 by itself 5 times: 11*11*11*11*11 = 161051. | exponents |
10,713 | statistics | easy | What is the mean (average) of 90, 47, 13, 89? | 59.75 | Mean = sum/count. Sum = 90+47+13+89=239. Count=4. Mean=239/4=59.75. | mean |
10,714 | exponents | easy | What is 7^3? | 343 | 7^3 means multiply 7 by itself 3 times: 7*7*7 = 343. | exponents |
10,715 | word_problems | easy | If you have 50 books and you buy 49 more books, how many books do you have in total? | 99 | Add initial 50 plus bought 49: 50+49=99. | addition_word |
10,716 | number_theory | medium | What is the LCM (least common multiple) of 57 and 93? | 1767 | LCM = |57*93| / GCD(57,93). GCD=3, so LCM=5301/3=1767. | lcm |
10,717 | exponents | easy | What is 12^3? | 1728 | 12^3 means multiply 12 by itself 3 times: 12*12*12 = 1728. | exponents |
10,718 | roots | easy | What is the square root of 81? | 9 | Find number that when squared gives 81. 9*9=81, so sqrt(81)=9. | square_roots |
10,719 | 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 |
10,720 | arithmetic | easy | What is 725 - 116? | 609 | Subtract: 725 - 116 = 609. | basic_operations |
10,721 | arithmetic | easy | What is 2604 divided by 16? Give answer to 2 decimal places. | 162.75 | Calculate 2604/ 16 = 162.7500, rounded to 2 decimals is 162.75. | division |
10,722 | statistics | easy | What is the mean (average) of 30, 70, 45? | 48.33 | Mean = sum/count. Sum = 30+70+45=145. Count=3. Mean=145/3=48.33. | mean |
10,723 | arithmetic | easy | What is 471 - 328? | 143 | Subtract: 471 - 328 = 143. | basic_operations |
10,724 | statistics | easy | What is the mean (average) of 84, 48, 8? | 46.67 | Mean = sum/count. Sum = 84+48+8=140. Count=3. Mean=140/3=46.67. | mean |
10,725 | 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 |
10,726 | arithmetic | easy | What is 994 + 624? | 1618 | Add the two numbers: 994 + 624 = 1618. | basic_operations |
10,727 | fractions | medium | What is 3/20 - 8/10? Give as simplified fraction. | -13/20 | Common denominator 200. Numerator 30-160=-130. So -130/200 simplifies to -13/20. | fraction_operations |
10,728 | 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 |
10,729 | arithmetic | easy | What is 778 - 182? | 596 | Subtract: 778 - 182 = 596. | basic_operations |
10,730 | 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 |
10,731 | percentages | easy | What is 81% of 307? | 248.67 | Calculate 81/100 * 307 = 0.81*307 = 248.67. | percentages |
10,732 | number_theory | medium | What is the GCD (greatest common divisor) of 49 and 26? | 1 | Find greatest number dividing both 49 and 26. Divisors common, greatest is 1. | gcd |
10,733 | fractions | medium | What is 18/20 - 5/9? Give as simplified fraction. | 31/90 | Common denominator 180. Numerator 162-100=62. So 62/180 simplifies to 31/90. | fraction_operations |
10,734 | number_theory | medium | What is the LCM (least common multiple) of 18 and 36? | 36 | LCM = |18*36| / GCD(18,36). GCD=18, so LCM=648/18=36. | lcm |
10,735 | word_problems | easy | If you have 11 apples and you buy 22 more apples, how many apples do you have in total? | 33 | Add initial 11 plus bought 22: 11+22=33. | addition_word |
10,736 | roots | easy | What is the square root of 484? | 22 | Find number that when squared gives 484. 22*22=484, so sqrt(484)=22. | square_roots |
10,737 | statistics | easy | What is the mean (average) of 82, 18, 52, 25, 69? | 49.2 | Mean = sum/count. Sum = 82+18+52+25+69=246. Count=5. Mean=246/5=49.2. | mean |
10,738 | arithmetic | easy | What is 844 + 656? | 1500 | Add the two numbers: 844 + 656 = 1500. | basic_operations |
10,739 | algebra | easy | Solve for x: 15x - 39 = 21 | 4 | Add 39 to both sides: 15x = 21+39=60. Then x = 60/15 = 4. | linear_equation |
10,740 | arithmetic | easy | What is 23489 divided by 87? Give answer to 2 decimal places. | 269.99 | Calculate 23489/ 87 = 269.9885, rounded to 2 decimals is 269.99. | division |
10,741 | algebra | medium | Solve for x: x^2 - 16x + 60 = 0 | x = 6, 10 | Factor: (x - 6)(x - 10) = x^2 -(16)x + 60 = 0. So x = 6 or 10. Check sum = 16, product = 60. | quadratic |
10,742 | calculus | medium | What is the derivative of 8x^6 with respect to x? | 48x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^6] = 8*6*x^5 = 48x^5. | derivative |
10,743 | geometry | easy | Find the circumference of a circle with radius 27. Use pi=3.14159, round to 2 decimals. | 169.65 | Circumference = 2*pi*r = 2*3.14159*27 = 169.65. | circle_circum |
10,744 | algebra | medium | Solve for x: x^2 - 6x - 40 = 0 | x = -4, 10 | Factor: (x - -4)(x - 10) = x^2 -(6)x + -40 = 0. So x = -4 or 10. Check sum = 6, product = -40. | quadratic |
10,745 | statistics | easy | What is the mean (average) of 27, 88, 72? | 62.33 | Mean = sum/count. Sum = 27+88+72=187. Count=3. Mean=187/3=62.33. | mean |
10,746 | number_theory | medium | What is the LCM (least common multiple) of 84 and 36? | 252 | LCM = |84*36| / GCD(84,36). GCD=12, so LCM=3024/12=252. | lcm |
10,747 | word_problems | easy | If you have 93 candies and you buy 12 more candies, how many candies do you have in total? | 105 | Add initial 93 plus bought 12: 93+12=105. | addition_word |
10,748 | arithmetic | easy | What is 33375 / 75? | 445 | Divide: 33375 ÷ 75 = 445 because 75*445=33375. | division |
10,749 | algebra | easy | Solve for x: 6x + 42 = 138 | 16 | Subtract 42 from both sides: 6x = 138-42=96. Then divide by 6: x = 96/6 = 16. | linear_equation |
10,750 | geometry | easy | Find the area of a rectangle with length 99 and width 92. | 9108 | Area = length * width = 99*92 = 9108. | rectangle_area |
10,751 | algebra | medium | Solve for x: x^2 + 9x + 18 = 0 | x = -3, -6 | Factor: (x - -3)(x - -6) = x^2 -(-9)x + 18 = 0. So x = -3 or -6. Check sum = -9, product = 18. | quadratic |
10,752 | arithmetic | easy | What is 962 + 888 * 98? Remember order of operations. | 87986 | Order of operations (PEMDAS): first 888*98=87024, then 962+87024=87986. | basic_operations |
10,753 | percentages | easy | What is 88% of 594? | 522.72 | Calculate 88/100 * 594 = 0.88*594 = 522.72. | percentages |
10,754 | geometry | easy | Find the area of a rectangle with length 65 and width 47. | 3055 | Area = length * width = 65*47 = 3055. | rectangle_area |
10,755 | geometry | easy | Find the area of a circle with radius 24. Use pi=3.14159, round to 2 decimals. | 1809.56 | Area = pi*r^2 = 3.14159*24^2 = 3.14159*576 = 1809.56. | circle_area |
10,756 | geometry | easy | Find the area of a rectangle with length 70 and width 79. | 5530 | Area = length * width = 70*79 = 5530. | rectangle_area |
10,757 | algebra | medium | Solve for x: x^2 - 7x = 0 | x = 0, 7 | Factor: (x - 0)(x - 7) = x^2 -(7)x + 0 = 0. So x = 0 or 7. Check sum = 7, product = 0. | quadratic |
10,758 | percentages | easy | What is 11% of 268? | 29.48 | Calculate 11/100 * 268 = 0.11*268 = 29.48. | percentages |
10,759 | arithmetic | easy | What is 912 - 53? | 859 | Subtract: 912 - 53 = 859. | basic_operations |
10,760 | arithmetic | easy | What is 20 * 56? | 1120 | Multiply: 20 * 56 = 1120. | basic_operations |
10,761 | roots | easy | What is the square root of 1849? | 43 | Find number that when squared gives 1849. 43*43=1849, so sqrt(1849)=43. | square_roots |
10,762 | exponents | easy | What is 11^2? | 121 | 11^2 means multiply 11 by itself 2 times: 11*11 = 121. | exponents |
10,763 | exponents | easy | What is 9^5? | 59049 | 9^5 means multiply 9 by itself 5 times: 9*9*9*9*9 = 59049. | exponents |
10,764 | number_theory | medium | What is the LCM (least common multiple) of 57 and 13? | 741 | LCM = |57*13| / GCD(57,13). GCD=1, so LCM=741/1=741. | lcm |
10,765 | 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 |
10,766 | algebra | easy | Solve for x: 3x - 26 = -59 | -11 | Add 26 to both sides: 3x = -59+26=-33. Then x = -33/3 = -11. | linear_equation |
10,767 | number_theory | medium | What is the LCM (least common multiple) of 8 and 68? | 136 | LCM = |8*68| / GCD(8,68). GCD=4, so LCM=544/4=136. | lcm |
10,768 | algebra | medium | Solve for x: x^2 - 10x + 21 = 0 | x = 7, 3 | Factor: (x - 7)(x - 3) = x^2 -(10)x + 21 = 0. So x = 7 or 3. Check sum = 10, product = 21. | quadratic |
10,769 | 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 |
10,770 | exponents | easy | What is 12^3? | 1728 | 12^3 means multiply 12 by itself 3 times: 12*12*12 = 1728. | exponents |
10,771 | exponents | easy | What is 9^5? | 59049 | 9^5 means multiply 9 by itself 5 times: 9*9*9*9*9 = 59049. | exponents |
10,772 | arithmetic | easy | What is 23 + 27 * 68? Remember order of operations. | 1859 | Order of operations (PEMDAS): first 27*68=1836, then 23+1836=1859. | basic_operations |
10,773 | algebra | medium | Solve for x: x^2 - 8x + 7 = 0 | x = 1, 7 | Factor: (x - 1)(x - 7) = x^2 -(8)x + 7 = 0. So x = 1 or 7. Check sum = 8, product = 7. | quadratic |
10,774 | word_problems | easy | If you have 27 pencils and you buy 34 more pencils, how many pencils do you have in total? | 61 | Add initial 27 plus bought 34: 27+34=61. | addition_word |
10,775 | exponents | easy | What is 8^5? | 32768 | 8^5 means multiply 8 by itself 5 times: 8*8*8*8*8 = 32768. | exponents |
10,776 | fractions | medium | What is 13/8 + 3/14? Give as simplified fraction. | 103/56 | Common denominator 8*14=112. 13/8=182/112, 3/14=24/112. Sum = 206/112 = 103/56 simplified. | fraction_operations |
10,777 | percentages | easy | What is 3% of 873? | 26.19 | Calculate 3/100 * 873 = 0.03*873 = 26.19. | percentages |
10,778 | exponents | easy | What is 8^2? | 64 | 8^2 means multiply 8 by itself 2 times: 8*8 = 64. | exponents |
10,779 | arithmetic | easy | What is 5070 divided by 62? Give answer to 2 decimal places. | 81.77 | Calculate 5070/ 62 = 81.7742, rounded to 2 decimals is 81.77. | division |
10,780 | algebra | easy | Solve for x: 17x + 48 = -292 | -20 | Subtract 48 from both sides: 17x = -292-48=-340. Then divide by 17: x = -340/17 = -20. | linear_equation |
10,781 | percentages | easy | What is 27% of 718? | 193.86 | Calculate 27/100 * 718 = 0.27*718 = 193.86. | percentages |
10,782 | calculus | medium | What is the derivative of 10x^4 with respect to x? | 40x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^4] = 10*4*x^3 = 40x^3. | derivative |
10,783 | arithmetic | easy | What is 64 * 37? | 2368 | Multiply: 64 * 37 = 2368. | basic_operations |
10,784 | arithmetic | easy | What is 827 - 444? | 383 | Subtract: 827 - 444 = 383. | basic_operations |
10,785 | percentages | easy | What is 88% of 36? | 31.68 | Calculate 88/100 * 36 = 0.88*36 = 31.68. | percentages |
10,786 | percentages | easy | What is 13% of 63? | 8.19 | Calculate 13/100 * 63 = 0.13*63 = 8.19. | percentages |
10,787 | arithmetic | easy | What is 10777 divided by 51? Give answer to 2 decimal places. | 211.31 | Calculate 10777/ 51 = 211.3137, rounded to 2 decimals is 211.31. | division |
10,788 | 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 |
10,789 | algebra | easy | Solve for x: 17x - 15 = 36 | 3 | Add 15 to both sides: 17x = 36+15=51. Then x = 51/17 = 3. | linear_equation |
10,790 | roots | easy | What is the square root of 400? | 20 | Find number that when squared gives 400. 20*20=400, so sqrt(400)=20. | square_roots |
10,791 | arithmetic | easy | What is 82 * 43? | 3526 | Multiply: 82 * 43 = 3526. | basic_operations |
10,792 | calculus | medium | What is the derivative of 3x^3 with respect to x? | 9x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^3] = 3*3*x^2 = 9x^2. | derivative |
10,793 | number_theory | medium | What is the GCD (greatest common divisor) of 10 and 98? | 2 | Find greatest number dividing both 10 and 98. Divisors common, greatest is 2. | gcd |
10,794 | arithmetic | easy | What is 524 + 320 * 68? Remember order of operations. | 22284 | Order of operations (PEMDAS): first 320*68=21760, then 524+21760=22284. | basic_operations |
10,795 | calculus | medium | What is the derivative of 7x^7 with respect to x? | 49x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^7] = 7*7*x^6 = 49x^6. | derivative |
10,796 | arithmetic | easy | What is 758 + 676? | 1434 | Add the two numbers: 758 + 676 = 1434. | basic_operations |
10,797 | arithmetic | easy | What is 304 + 429? | 733 | Add the two numbers: 304 + 429 = 733. | basic_operations |
10,798 | word_problems | easy | If you have 38 dollars and you buy 40 more dollars, how many dollars do you have in total? | 78 | Add initial 38 plus bought 40: 38+40=78. | addition_word |
10,799 | fractions | medium | What is 17/5 - 13/6? Give as simplified fraction. | 37/30 | Common denominator 30. Numerator 102-65=37. So 37/30 simplifies to 37/30. | fraction_operations |
10,800 | geometry | easy | Find the area of a rectangle with length 4 and width 54. | 216 | Area = length * width = 4*54 = 216. | rectangle_area |
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