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 |
|---|---|---|---|---|---|---|
731,701 | roots | easy | What is the square root of 361? | 19 | Find number that when squared gives 361. 19*19=361, so sqrt(361)=19. | square_roots |
731,702 | 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 |
731,703 | geometry | easy | Find the area of a circle with radius 44. Use pi=3.14159, round to 2 decimals. | 6082.12 | Area = pi*r^2 = 3.14159*44^2 = 3.14159*1936 = 6082.12. | circle_area |
731,704 | algebra | easy | Solve for x: 20x + 25 = 265 | 12 | Subtract 25 from both sides: 20x = 265-25=240. Then divide by 20: x = 240/20 = 12. | linear_equation |
731,705 | roots | easy | What is the square root of 1521? | 39 | Find number that when squared gives 1521. 39*39=1521, so sqrt(1521)=39. | square_roots |
731,706 | calculus | medium | What is the derivative of 10x^2 with respect to x? | 20x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^2] = 10*2*x^1 = 20x. | derivative |
731,707 | calculus | medium | What is the derivative of 2x^7 with respect to x? | 14x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^7] = 2*7*x^6 = 14x^6. | derivative |
731,708 | 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 |
731,709 | arithmetic | easy | What is 149 + 330? | 479 | Add the two numbers: 149 + 330 = 479. | basic_operations |
731,710 | number_theory | medium | What is the LCM (least common multiple) of 80 and 8? | 80 | LCM = |80*8| / GCD(80,8). GCD=8, so LCM=640/8=80. | lcm |
731,711 | 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 |
731,712 | 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 |
731,713 | word_problems | easy | If you have 49 candies and you buy 33 more candies, how many candies do you have in total? | 82 | Add initial 49 plus bought 33: 49+33=82. | addition_word |
731,714 | 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 |
731,715 | calculus | medium | What is the derivative of 5x^4 with respect to x? | 20x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^4] = 5*4*x^3 = 20x^3. | derivative |
731,716 | number_theory | medium | What is the GCD (greatest common divisor) of 60 and 52? | 4 | Find greatest number dividing both 60 and 52. Divisors common, greatest is 4. | gcd |
731,717 | statistics | easy | What is the mean (average) of 97, 70, 99, 45, 34? | 69 | Mean = sum/count. Sum = 97+70+99+45+34=345. Count=5. Mean=345/5=69.0. | mean |
731,718 | arithmetic | easy | What is 52 * 59? | 3068 | Multiply: 52 * 59 = 3068. | basic_operations |
731,719 | 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 |
731,720 | arithmetic | easy | What is 807 - 458? | 349 | Subtract: 807 - 458 = 349. | basic_operations |
731,721 | algebra | easy | Solve for x: 19x + 21 = 154 | 7 | Subtract 21 from both sides: 19x = 154-21=133. Then divide by 19: x = 133/19 = 7. | linear_equation |
731,722 | word_problems | easy | If you have 80 dollars and you buy 39 more dollars, how many dollars do you have in total? | 119 | Add initial 80 plus bought 39: 80+39=119. | addition_word |
731,723 | arithmetic | easy | What is 896 - 563? | 333 | Subtract: 896 - 563 = 333. | basic_operations |
731,724 | 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 |
731,725 | percentages | easy | What is 27% of 757? | 204.39 | Calculate 27/100 * 757 = 0.27*757 = 204.39. | percentages |
731,726 | arithmetic | easy | What is 43610 / 98? | 445 | Divide: 43610 ÷ 98 = 445 because 98*445=43610. | division |
731,727 | percentages | easy | What is 82% of 506? | 414.92 | Calculate 82/100 * 506 = 0.82*506 = 414.92. | percentages |
731,728 | arithmetic | easy | What is 935 + 601? | 1536 | Add the two numbers: 935 + 601 = 1536. | basic_operations |
731,729 | number_theory | medium | What is the GCD (greatest common divisor) of 20 and 2? | 2 | Find greatest number dividing both 20 and 2. Divisors common, greatest is 2. | gcd |
731,730 | number_theory | medium | What is the GCD (greatest common divisor) of 51 and 21? | 3 | Find greatest number dividing both 51 and 21. Divisors common, greatest is 3. | gcd |
731,731 | arithmetic | easy | What is 61 * 49? | 2989 | Multiply: 61 * 49 = 2989. | basic_operations |
731,732 | arithmetic | easy | What is 88 * 100? | 8800 | Multiply: 88 * 100 = 8800. | basic_operations |
731,733 | arithmetic | easy | What is 570 + 114? | 684 | Add the two numbers: 570 + 114 = 684. | basic_operations |
731,734 | algebra | easy | Solve for x: 12x + 49 = -179 | -19 | Subtract 49 from both sides: 12x = -179-49=-228. Then divide by 12: x = -228/12 = -19. | linear_equation |
731,735 | arithmetic | easy | What is 857 - 577? | 280 | Subtract: 857 - 577 = 280. | basic_operations |
731,736 | statistics | easy | What is the mean (average) of 76, 51, 20, 63, 65? | 55 | Mean = sum/count. Sum = 76+51+20+63+65=275. Count=5. Mean=275/5=55.0. | mean |
731,737 | arithmetic | easy | What is 470 + 353 * 26? Remember order of operations. | 9648 | Order of operations (PEMDAS): first 353*26=9178, then 470+9178=9648. | basic_operations |
731,738 | number_theory | medium | What is the GCD (greatest common divisor) of 4 and 5? | 1 | Find greatest number dividing both 4 and 5. Divisors common, greatest is 1. | gcd |
731,739 | algebra | easy | Solve for x: 6x + 33 = 3 | -5 | Subtract 33 from both sides: 6x = 3-33=-30. Then divide by 6: x = -30/6 = -5. | linear_equation |
731,740 | arithmetic | easy | What is 576 / 64? | 9 | Divide: 576 ÷ 64 = 9 because 64*9=576. | division |
731,741 | percentages | easy | What is 42% of 987? | 414.54 | Calculate 42/100 * 987 = 0.42*987 = 414.54. | percentages |
731,742 | exponents | easy | What is 6^2? | 36 | 6^2 means multiply 6 by itself 2 times: 6*6 = 36. | exponents |
731,743 | percentages | easy | What is 42% of 919? | 385.98 | Calculate 42/100 * 919 = 0.42*919 = 385.98. | percentages |
731,744 | arithmetic | easy | What is 754 - 387? | 367 | Subtract: 754 - 387 = 367. | basic_operations |
731,745 | statistics | easy | What is the mean (average) of 12, 8, 21, 29, 40? | 22 | Mean = sum/count. Sum = 12+8+21+29+40=110. Count=5. Mean=110/5=22.0. | mean |
731,746 | 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 |
731,747 | algebra | easy | Solve for x: 10x - 16 = -216 | -20 | Add 16 to both sides: 10x = -216+16=-200. Then x = -200/10 = -20. | linear_equation |
731,748 | algebra | easy | Solve for x: 9x + 15 = -39 | -6 | Subtract 15 from both sides: 9x = -39-15=-54. Then divide by 9: x = -54/9 = -6. | linear_equation |
731,749 | geometry | easy | Find the area of a triangle with base 44 and height 70. | 1540 | Area = 0.5*base*height = 0.5*44*70 = 1540. | triangle_area |
731,750 | 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 |
731,751 | word_problems | easy | If you have 97 books and you buy 42 more books, how many books do you have in total? | 139 | Add initial 97 plus bought 42: 97+42=139. | addition_word |
731,752 | roots | easy | What is the square root of 1089? | 33 | Find number that when squared gives 1089. 33*33=1089, so sqrt(1089)=33. | square_roots |
731,753 | exponents | easy | What is 7^2? | 49 | 7^2 means multiply 7 by itself 2 times: 7*7 = 49. | exponents |
731,754 | 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 |
731,755 | arithmetic | easy | What is 51 + 52 * 81? Remember order of operations. | 4263 | Order of operations (PEMDAS): first 52*81=4212, then 51+4212=4263. | basic_operations |
731,756 | algebra | easy | Solve for x: 2x + 46 = 6 | -20 | Subtract 46 from both sides: 2x = 6-46=-40. Then divide by 2: x = -40/2 = -20. | linear_equation |
731,757 | 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 |
731,758 | algebra | easy | Solve for x: 14x - 35 = 161 | 14 | Add 35 to both sides: 14x = 161+35=196. Then x = 196/14 = 14. | linear_equation |
731,759 | number_theory | medium | What is the LCM (least common multiple) of 61 and 53? | 3233 | LCM = |61*53| / GCD(61,53). GCD=1, so LCM=3233/1=3233. | lcm |
731,760 | arithmetic | easy | What is 93 * 41? | 3813 | Multiply: 93 * 41 = 3813. | basic_operations |
731,761 | roots | easy | What is the square root of 25? | 5 | Find number that when squared gives 25. 5*5=25, so sqrt(25)=5. | square_roots |
731,762 | exponents | easy | What is 9^4? | 6561 | 9^4 means multiply 9 by itself 4 times: 9*9*9*9 = 6561. | exponents |
731,763 | geometry | easy | Find the perimeter of a rectangle with length 40 and width 50. | 180 | Perimeter = 2*(length+width) = 2*(40+50) = 2*90 = 180. | rectangle_perim |
731,764 | fractions | medium | What is 16/3 * 15/4? Give as simplified fraction. | 20 | Multiply numerators: 16*15=240. Denominators: 3*4=12. Simplify by gcd 12 to get 20. | fraction_operations |
731,765 | algebra | easy | Solve for x: 3x - 47 = -8 | 13 | Add 47 to both sides: 3x = -8+47=39. Then x = 39/3 = 13. | linear_equation |
731,766 | roots | easy | What is the square root of 729? | 27 | Find number that when squared gives 729. 27*27=729, so sqrt(729)=27. | square_roots |
731,767 | calculus | medium | What is the derivative of 9x^4 with respect to x? | 36x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^4] = 9*4*x^3 = 36x^3. | derivative |
731,768 | algebra | easy | Solve for x: 16x - 25 = -57 | -2 | Add 25 to both sides: 16x = -57+25=-32. Then x = -32/16 = -2. | linear_equation |
731,769 | number_theory | medium | What is the LCM (least common multiple) of 57 and 19? | 57 | LCM = |57*19| / GCD(57,19). GCD=19, so LCM=1083/19=57. | lcm |
731,770 | algebra | easy | Solve for x: 14x + 50 = -20 | -5 | Subtract 50 from both sides: 14x = -20-50=-70. Then divide by 14: x = -70/14 = -5. | linear_equation |
731,771 | algebra | easy | Solve for x: 5x + 24 = 104 | 16 | Subtract 24 from both sides: 5x = 104-24=80. Then divide by 5: x = 80/5 = 16. | linear_equation |
731,772 | 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 |
731,773 | percentages | easy | What is 92% of 275? | 253 | Calculate 92/100 * 275 = 0.92*275 = 253. | percentages |
731,774 | statistics | easy | What is the mean (average) of 50, 82, 94, 27, 43? | 59.2 | Mean = sum/count. Sum = 50+82+94+27+43=296. Count=5. Mean=296/5=59.2. | mean |
731,775 | arithmetic | easy | What is 865 + 333 * 12? Remember order of operations. | 4861 | Order of operations (PEMDAS): first 333*12=3996, then 865+3996=4861. | basic_operations |
731,776 | algebra | medium | Solve for x: x^2 + 2x - 48 = 0 | x = -8, 6 | Factor: (x - -8)(x - 6) = x^2 -(-2)x + -48 = 0. So x = -8 or 6. Check sum = -2, product = -48. | quadratic |
731,777 | algebra | medium | Solve for x: x^2 - 2x + 1 = 0 | x = 1 | Factor as (x - 1)^2 = 0, so root is 1 (double root). Sum of roots = 2, product = 1. | quadratic |
731,778 | calculus | medium | What is the derivative of 6x^7 with respect to x? | 42x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^7] = 6*7*x^6 = 42x^6. | derivative |
731,779 | calculus | medium | What is the derivative of 5x^2 with respect to x? | 10x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^2] = 5*2*x^1 = 10x. | derivative |
731,780 | arithmetic | easy | What is 730 - 328? | 402 | Subtract: 730 - 328 = 402. | basic_operations |
731,781 | exponents | easy | What is 4^2? | 16 | 4^2 means multiply 4 by itself 2 times: 4*4 = 16. | exponents |
731,782 | word_problems | easy | If you have 23 apples and you buy 36 more apples, how many apples do you have in total? | 59 | Add initial 23 plus bought 36: 23+36=59. | addition_word |
731,783 | arithmetic | easy | What is 885 - 22? | 863 | Subtract: 885 - 22 = 863. | basic_operations |
731,784 | arithmetic | easy | What is 914 + 842? | 1756 | Add the two numbers: 914 + 842 = 1756. | basic_operations |
731,785 | statistics | easy | What is the mean (average) of 45, 60, 26, 11, 76? | 43.6 | Mean = sum/count. Sum = 45+60+26+11+76=218. Count=5. Mean=218/5=43.6. | mean |
731,786 | arithmetic | easy | What is 280 + 503? | 783 | Add the two numbers: 280 + 503 = 783. | basic_operations |
731,787 | arithmetic | easy | What is 24 + 80 * 58? Remember order of operations. | 4664 | Order of operations (PEMDAS): first 80*58=4640, then 24+4640=4664. | basic_operations |
731,788 | arithmetic | easy | What is 392 + 390 * 86? Remember order of operations. | 33932 | Order of operations (PEMDAS): first 390*86=33540, then 392+33540=33932. | basic_operations |
731,789 | roots | easy | What is the square root of 121? | 11 | Find number that when squared gives 121. 11*11=121, so sqrt(121)=11. | square_roots |
731,790 | arithmetic | easy | What is 729 - 338? | 391 | Subtract: 729 - 338 = 391. | basic_operations |
731,791 | percentages | easy | What is 99% of 95? | 94.05 | Calculate 99/100 * 95 = 0.99*95 = 94.05. | percentages |
731,792 | algebra | easy | Solve for x: 14x + 40 = 68 | 2 | Subtract 40 from both sides: 14x = 68-40=28. Then divide by 14: x = 28/14 = 2. | linear_equation |
731,793 | fractions | medium | What is 13/20 - 16/13? Give as simplified fraction. | -151/260 | Common denominator 260. Numerator 169-320=-151. So -151/260 simplifies to -151/260. | fraction_operations |
731,794 | arithmetic | easy | What is 35910 / 90? | 399 | Divide: 35910 ÷ 90 = 399 because 90*399=35910. | division |
731,795 | algebra | easy | Solve for x: 14x + 2 = 156 | 11 | Subtract 2 from both sides: 14x = 156-2=154. Then divide by 14: x = 154/14 = 11. | linear_equation |
731,796 | arithmetic | easy | What is 82 * 22? | 1804 | Multiply: 82 * 22 = 1804. | basic_operations |
731,797 | algebra | medium | Solve for x: x^2 - 1x - 56 = 0 | x = 8, -7 | Factor: (x - 8)(x - -7) = x^2 -(1)x + -56 = 0. So x = 8 or -7. Check sum = 1, product = -56. | quadratic |
731,798 | algebra | medium | Solve for x: x^2 + 5x - 36 = 0 | x = 4, -9 | Factor: (x - 4)(x - -9) = x^2 -(-5)x + -36 = 0. So x = 4 or -9. Check sum = -5, product = -36. | quadratic |
731,799 | word_problems | easy | If you have 49 dollars and you buy 22 more dollars, how many dollars do you have in total? | 71 | Add initial 49 plus bought 22: 49+22=71. | addition_word |
731,800 | arithmetic | easy | What is 557 - 181? | 376 | Subtract: 557 - 181 = 376. | basic_operations |
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