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 |
|---|---|---|---|---|---|---|
733,701 | 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 |
733,702 | calculus | medium | What is the derivative of 9x^6 with respect to x? | 54x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^6] = 9*6*x^5 = 54x^5. | derivative |
733,703 | statistics | easy | What is the mean (average) of 35, 92, 99? | 75.33 | Mean = sum/count. Sum = 35+92+99=226. Count=3. Mean=226/3=75.33. | mean |
733,704 | 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 |
733,705 | arithmetic | easy | What is 1440 / 45? | 32 | Divide: 1440 ÷ 45 = 32 because 45*32=1440. | division |
733,706 | algebra | medium | Solve for x: x^2 - 1x - 56 = 0 | x = -7, 8 | Factor: (x - -7)(x - 8) = x^2 -(1)x + -56 = 0. So x = -7 or 8. Check sum = 1, product = -56. | quadratic |
733,707 | arithmetic | easy | What is 536 + 3 * 8? Remember order of operations. | 560 | Order of operations (PEMDAS): first 3*8=24, then 536+24=560. | basic_operations |
733,708 | roots | easy | What is the square root of 676? | 26 | Find number that when squared gives 676. 26*26=676, so sqrt(676)=26. | square_roots |
733,709 | 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 |
733,710 | roots | easy | What is the square root of 36? | 6 | Find number that when squared gives 36. 6*6=36, so sqrt(36)=6. | square_roots |
733,711 | exponents | easy | What is 5^2? | 25 | 5^2 means multiply 5 by itself 2 times: 5*5 = 25. | exponents |
733,712 | percentages | easy | What is 47% of 402? | 188.94 | Calculate 47/100 * 402 = 0.47*402 = 188.94. | percentages |
733,713 | statistics | easy | What is the mean (average) of 39, 59, 67, 11? | 44 | Mean = sum/count. Sum = 39+59+67+11=176. Count=4. Mean=176/4=44.0. | mean |
733,714 | algebra | medium | Solve for x: x^2 - 19x + 90 = 0 | x = 10, 9 | Factor: (x - 10)(x - 9) = x^2 -(19)x + 90 = 0. So x = 10 or 9. Check sum = 19, product = 90. | quadratic |
733,715 | statistics | easy | What is the mean (average) of 13, 87, 53, 26, 94? | 54.6 | Mean = sum/count. Sum = 13+87+53+26+94=273. Count=5. Mean=273/5=54.6. | mean |
733,716 | word_problems | easy | If you have 39 apples and you buy 7 more apples, how many apples do you have in total? | 46 | Add initial 39 plus bought 7: 39+7=46. | addition_word |
733,717 | statistics | easy | What is the mean (average) of 96, 39, 21, 53, 39? | 49.6 | Mean = sum/count. Sum = 96+39+21+53+39=248. Count=5. Mean=248/5=49.6. | mean |
733,718 | statistics | easy | What is the mean (average) of 6, 54, 23, 46? | 32.25 | Mean = sum/count. Sum = 6+54+23+46=129. Count=4. Mean=129/4=32.25. | mean |
733,719 | 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 |
733,720 | arithmetic | easy | What is 105 + 292? | 397 | Add the two numbers: 105 + 292 = 397. | basic_operations |
733,721 | algebra | medium | Solve for x: x^2 - 16 = 0 | x = 4, -4 | Factor: (x - 4)(x - -4) = x^2 -(0)x + -16 = 0. So x = 4 or -4. Check sum = 0, product = -16. | quadratic |
733,722 | algebra | medium | Solve for x: x^2 + 8x + 16 = 0 | x = -4 | Factor as (x - -4)^2 = 0, so root is -4 (double root). Sum of roots = -8, product = 16. | quadratic |
733,723 | arithmetic | easy | What is 7600 / 95? | 80 | Divide: 7600 ÷ 95 = 80 because 95*80=7600. | division |
733,724 | arithmetic | easy | What is 9464 / 91? | 104 | Divide: 9464 ÷ 91 = 104 because 91*104=9464. | division |
733,725 | arithmetic | easy | What is 195 + 187 * 88? Remember order of operations. | 16651 | Order of operations (PEMDAS): first 187*88=16456, then 195+16456=16651. | basic_operations |
733,726 | algebra | medium | Solve for x: x^2 - 14x + 49 = 0 | x = 7 | Factor as (x - 7)^2 = 0, so root is 7 (double root). Sum of roots = 14, product = 49. | quadratic |
733,727 | arithmetic | easy | What is 1215 / 5? | 243 | Divide: 1215 ÷ 5 = 243 because 5*243=1215. | division |
733,728 | algebra | easy | Solve for x: 4x + 11 = -49 | -15 | Subtract 11 from both sides: 4x = -49-11=-60. Then divide by 4: x = -60/4 = -15. | linear_equation |
733,729 | algebra | easy | Solve for x: 14x + 11 = -101 | -8 | Subtract 11 from both sides: 14x = -101-11=-112. Then divide by 14: x = -112/14 = -8. | linear_equation |
733,730 | arithmetic | easy | What is 952 + 263 * 49? Remember order of operations. | 13839 | Order of operations (PEMDAS): first 263*49=12887, then 952+12887=13839. | basic_operations |
733,731 | number_theory | medium | What is the GCD (greatest common divisor) of 8 and 34? | 2 | Find greatest number dividing both 8 and 34. Divisors common, greatest is 2. | gcd |
733,732 | algebra | medium | Solve for x: x^2 - 4x - 45 = 0 | x = -5, 9 | Factor: (x - -5)(x - 9) = x^2 -(4)x + -45 = 0. So x = -5 or 9. Check sum = 4, product = -45. | quadratic |
733,733 | algebra | medium | Solve for x: x^2 - 15x + 56 = 0 | x = 8, 7 | Factor: (x - 8)(x - 7) = x^2 -(15)x + 56 = 0. So x = 8 or 7. Check sum = 15, product = 56. | quadratic |
733,734 | arithmetic | easy | What is 38700 / 100? | 387 | Divide: 38700 ÷ 100 = 387 because 100*387=38700. | division |
733,735 | calculus | medium | What is the derivative of 5x^3 with respect to x? | 15x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^3] = 5*3*x^2 = 15x^2. | derivative |
733,736 | exponents | easy | What is 9^3? | 729 | 9^3 means multiply 9 by itself 3 times: 9*9*9 = 729. | exponents |
733,737 | 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 |
733,738 | arithmetic | easy | What is 205 + 85 * 73? Remember order of operations. | 6410 | Order of operations (PEMDAS): first 85*73=6205, then 205+6205=6410. | basic_operations |
733,739 | arithmetic | easy | What is 530 - 206? | 324 | Subtract: 530 - 206 = 324. | basic_operations |
733,740 | algebra | easy | Solve for x: 6x - 7 = -109 | -17 | Add 7 to both sides: 6x = -109+7=-102. Then x = -102/6 = -17. | linear_equation |
733,741 | arithmetic | easy | What is 140 / 7? | 20 | Divide: 140 ÷ 7 = 20 because 7*20=140. | division |
733,742 | algebra | easy | Solve for x: 5x + 42 = -58 | -20 | Subtract 42 from both sides: 5x = -58-42=-100. Then divide by 5: x = -100/5 = -20. | linear_equation |
733,743 | calculus | medium | What is the derivative of 3x^5 with respect to x? | 15x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^5] = 3*5*x^4 = 15x^4. | derivative |
733,744 | algebra | medium | Solve for x: x^2 - 5x - 14 = 0 | x = 7, -2 | Factor: (x - 7)(x - -2) = x^2 -(5)x + -14 = 0. So x = 7 or -2. Check sum = 5, product = -14. | quadratic |
733,745 | percentages | easy | What is 10% of 968? | 96.8 | Calculate 10/100 * 968 = 0.1*968 = 96.8. | percentages |
733,746 | arithmetic | easy | What is 469 + 517 * 14? Remember order of operations. | 7707 | Order of operations (PEMDAS): first 517*14=7238, then 469+7238=7707. | basic_operations |
733,747 | 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 |
733,748 | 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 |
733,749 | algebra | easy | Solve for x: 11x - 46 = -134 | -8 | Add 46 to both sides: 11x = -134+46=-88. Then x = -88/11 = -8. | linear_equation |
733,750 | percentages | easy | What is 70% of 167? | 116.9 | Calculate 70/100 * 167 = 0.7*167 = 116.9. | percentages |
733,751 | arithmetic | easy | What is 18 * 22? | 396 | Multiply: 18 * 22 = 396. | basic_operations |
733,752 | 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 |
733,753 | 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 |
733,754 | exponents | easy | What is 12^3? | 1728 | 12^3 means multiply 12 by itself 3 times: 12*12*12 = 1728. | exponents |
733,755 | exponents | easy | What is 7^5? | 16807 | 7^5 means multiply 7 by itself 5 times: 7*7*7*7*7 = 16807. | exponents |
733,756 | word_problems | easy | If you have 19 pencils and you buy 28 more pencils, how many pencils do you have in total? | 47 | Add initial 19 plus bought 28: 19+28=47. | addition_word |
733,757 | 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 |
733,758 | 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 |
733,759 | arithmetic | easy | What is 9 * 45? | 405 | Multiply: 9 * 45 = 405. | basic_operations |
733,760 | statistics | easy | What is the mean (average) of 20, 45, 26, 97? | 47 | Mean = sum/count. Sum = 20+45+26+97=188. Count=4. Mean=188/4=47.0. | mean |
733,761 | algebra | medium | Solve for x: x^2 - 3x - 54 = 0 | x = 9, -6 | Factor: (x - 9)(x - -6) = x^2 -(3)x + -54 = 0. So x = 9 or -6. Check sum = 3, product = -54. | quadratic |
733,762 | exponents | easy | What is 11^2? | 121 | 11^2 means multiply 11 by itself 2 times: 11*11 = 121. | exponents |
733,763 | arithmetic | easy | What is 421 + 154 * 34? Remember order of operations. | 5657 | Order of operations (PEMDAS): first 154*34=5236, then 421+5236=5657. | basic_operations |
733,764 | 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 |
733,765 | algebra | easy | Solve for x: 17x - 47 = -13 | 2 | Add 47 to both sides: 17x = -13+47=34. Then x = 34/17 = 2. | linear_equation |
733,766 | percentages | easy | What is 1% of 366? | 3.66 | Calculate 1/100 * 366 = 0.01*366 = 3.66. | percentages |
733,767 | algebra | medium | Solve for x: x^2 - 3x - 54 = 0 | x = -6, 9 | Factor: (x - -6)(x - 9) = x^2 -(3)x + -54 = 0. So x = -6 or 9. Check sum = 3, product = -54. | quadratic |
733,768 | exponents | easy | What is 5^3? | 125 | 5^3 means multiply 5 by itself 3 times: 5*5*5 = 125. | exponents |
733,769 | fractions | medium | What is 1/9 - 14/17? Give as simplified fraction. | -109/153 | Common denominator 153. Numerator 17-126=-109. So -109/153 simplifies to -109/153. | fraction_operations |
733,770 | algebra | medium | Solve for x: x^2 + 1x - 2 = 0 | x = 1, -2 | Factor: (x - 1)(x - -2) = x^2 -(-1)x + -2 = 0. So x = 1 or -2. Check sum = -1, product = -2. | quadratic |
733,771 | geometry | easy | Find the circumference of a circle with radius 19. Use pi=3.14159, round to 2 decimals. | 119.38 | Circumference = 2*pi*r = 2*3.14159*19 = 119.38. | circle_circum |
733,772 | arithmetic | easy | What is 29 * 60? | 1740 | Multiply: 29 * 60 = 1740. | basic_operations |
733,773 | statistics | easy | What is the mean (average) of 67, 2, 84, 98? | 62.75 | Mean = sum/count. Sum = 67+2+84+98=251. Count=4. Mean=251/4=62.75. | mean |
733,774 | calculus | medium | What is the derivative of 7x^8 with respect to x? | 56x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^8] = 7*8*x^7 = 56x^7. | derivative |
733,775 | arithmetic | easy | What is 450 - 444? | 6 | Subtract: 450 - 444 = 6. | basic_operations |
733,776 | geometry | easy | Find the perimeter of a rectangle with length 32 and width 49. | 162 | Perimeter = 2*(length+width) = 2*(32+49) = 2*81 = 162. | rectangle_perim |
733,777 | arithmetic | easy | What is 6304 divided by 15? Give answer to 2 decimal places. | 420.27 | Calculate 6304/ 15 = 420.2667, rounded to 2 decimals is 420.27. | division |
733,778 | arithmetic | easy | What is 23952 / 48? | 499 | Divide: 23952 ÷ 48 = 499 because 48*499=23952. | division |
733,779 | number_theory | medium | What is the GCD (greatest common divisor) of 87 and 67? | 1 | Find greatest number dividing both 87 and 67. Divisors common, greatest is 1. | gcd |
733,780 | geometry | easy | Find the area of a triangle with base 66 and height 2. | 66 | Area = 0.5*base*height = 0.5*66*2 = 66. | triangle_area |
733,781 | arithmetic | easy | What is 98 * 80? | 7840 | Multiply: 98 * 80 = 7840. | basic_operations |
733,782 | exponents | easy | What is 9^3? | 729 | 9^3 means multiply 9 by itself 3 times: 9*9*9 = 729. | exponents |
733,783 | exponents | easy | What is 9^5? | 59049 | 9^5 means multiply 9 by itself 5 times: 9*9*9*9*9 = 59049. | exponents |
733,784 | number_theory | medium | What is the LCM (least common multiple) of 45 and 71? | 3195 | LCM = |45*71| / GCD(45,71). GCD=1, so LCM=3195/1=3195. | lcm |
733,785 | word_problems | easy | If you have 46 books and you buy 26 more books, how many books do you have in total? | 72 | Add initial 46 plus bought 26: 46+26=72. | addition_word |
733,786 | word_problems | easy | If you have 10 dollars and you buy 37 more dollars, how many dollars do you have in total? | 47 | Add initial 10 plus bought 37: 10+37=47. | addition_word |
733,787 | algebra | medium | Solve for x: x^2 - 1x - 6 = 0 | x = 3, -2 | Factor: (x - 3)(x - -2) = x^2 -(1)x + -6 = 0. So x = 3 or -2. Check sum = 1, product = -6. | quadratic |
733,788 | algebra | medium | Solve for x: x^2 + 15x + 54 = 0 | x = -6, -9 | Factor: (x - -6)(x - -9) = x^2 -(-15)x + 54 = 0. So x = -6 or -9. Check sum = -15, product = 54. | quadratic |
733,789 | algebra | medium | Solve for x: x^2 - 5x = 0 | x = 0, 5 | Factor: (x - 0)(x - 5) = x^2 -(5)x + 0 = 0. So x = 0 or 5. Check sum = 5, product = 0. | quadratic |
733,790 | arithmetic | easy | What is 1752 / 12? | 146 | Divide: 1752 ÷ 12 = 146 because 12*146=1752. | division |
733,791 | word_problems | easy | If you have 14 books and you buy 2 more books, how many books do you have in total? | 16 | Add initial 14 plus bought 2: 14+2=16. | addition_word |
733,792 | arithmetic | easy | What is 19796 / 98? | 202 | Divide: 19796 ÷ 98 = 202 because 98*202=19796. | division |
733,793 | word_problems | easy | If you have 33 pencils and you buy 47 more pencils, how many pencils do you have in total? | 80 | Add initial 33 plus bought 47: 33+47=80. | addition_word |
733,794 | 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 |
733,795 | percentages | easy | What is 43% of 447? | 192.21 | Calculate 43/100 * 447 = 0.43*447 = 192.21. | percentages |
733,796 | calculus | medium | What is the derivative of 9x^5 with respect to x? | 45x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^5] = 9*5*x^4 = 45x^4. | derivative |
733,797 | geometry | easy | Find the perimeter of a rectangle with length 79 and width 96. | 350 | Perimeter = 2*(length+width) = 2*(79+96) = 2*175 = 350. | rectangle_perim |
733,798 | 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 |
733,799 | geometry | easy | Find the perimeter of a rectangle with length 95 and width 48. | 286 | Perimeter = 2*(length+width) = 2*(95+48) = 2*143 = 286. | rectangle_perim |
733,800 | 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 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.