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 |
|---|---|---|---|---|---|---|
7,701 | calculus | medium | What is the derivative of 1x^3 with respect to x? | 3x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^3] = 1*3*x^2 = 3x^2. | derivative |
7,702 | fractions | medium | What is 9/17 * 19/4? Give as simplified fraction. | 171/68 | Multiply numerators: 9*19=171. Denominators: 17*4=68. Simplify by gcd 1 to get 171/68. | fraction_operations |
7,703 | arithmetic | easy | What is 12 + 354 * 73? Remember order of operations. | 25854 | Order of operations (PEMDAS): first 354*73=25842, then 12+25842=25854. | basic_operations |
7,704 | number_theory | medium | What is the GCD (greatest common divisor) of 64 and 17? | 1 | Find greatest number dividing both 64 and 17. Divisors common, greatest is 1. | gcd |
7,705 | word_problems | easy | If you have 11 books and you buy 46 more books, how many books do you have in total? | 57 | Add initial 11 plus bought 46: 11+46=57. | addition_word |
7,706 | 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 |
7,707 | arithmetic | easy | What is 984 - 661? | 323 | Subtract: 984 - 661 = 323. | basic_operations |
7,708 | geometry | easy | Find the area of a triangle with base 44 and height 79. | 1738 | Area = 0.5*base*height = 0.5*44*79 = 1738. | triangle_area |
7,709 | statistics | easy | What is the mean (average) of 17, 33, 25, 72, 60? | 41.4 | Mean = sum/count. Sum = 17+33+25+72+60=207. Count=5. Mean=207/5=41.4. | mean |
7,710 | arithmetic | easy | What is 6260 / 20? | 313 | Divide: 6260 ÷ 20 = 313 because 20*313=6260. | division |
7,711 | exponents | easy | What is 7^3? | 343 | 7^3 means multiply 7 by itself 3 times: 7*7*7 = 343. | exponents |
7,712 | arithmetic | easy | What is 3 * 91? | 273 | Multiply: 3 * 91 = 273. | basic_operations |
7,713 | calculus | medium | What is the derivative of 7x^2 with respect to x? | 14x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^2] = 7*2*x^1 = 14x. | derivative |
7,714 | arithmetic | easy | What is 295 + 566? | 861 | Add the two numbers: 295 + 566 = 861. | basic_operations |
7,715 | algebra | medium | Solve for x: x^2 + 12x + 20 = 0 | x = -2, -10 | Factor: (x - -2)(x - -10) = x^2 -(-12)x + 20 = 0. So x = -2 or -10. Check sum = -12, product = 20. | quadratic |
7,716 | 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 |
7,717 | number_theory | medium | What is the LCM (least common multiple) of 39 and 62? | 2418 | LCM = |39*62| / GCD(39,62). GCD=1, so LCM=2418/1=2418. | lcm |
7,718 | word_problems | easy | If you have 56 pencils and you buy 45 more pencils, how many pencils do you have in total? | 101 | Add initial 56 plus bought 45: 56+45=101. | addition_word |
7,719 | roots | easy | What is the square root of 9? | 3 | Find number that when squared gives 9. 3*3=9, so sqrt(9)=3. | square_roots |
7,720 | arithmetic | easy | What is 65 * 94? | 6110 | Multiply: 65 * 94 = 6110. | basic_operations |
7,721 | roots | easy | What is the square root of 784? | 28 | Find number that when squared gives 784. 28*28=784, so sqrt(784)=28. | square_roots |
7,722 | calculus | medium | What is the derivative of 5x^7 with respect to x? | 35x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^7] = 5*7*x^6 = 35x^6. | derivative |
7,723 | fractions | medium | What is 2/5 * 13/12? Give as simplified fraction. | 13/30 | Multiply numerators: 2*13=26. Denominators: 5*12=60. Simplify by gcd 2 to get 13/30. | fraction_operations |
7,724 | number_theory | medium | What is the GCD (greatest common divisor) of 56 and 18? | 2 | Find greatest number dividing both 56 and 18. Divisors common, greatest is 2. | gcd |
7,725 | statistics | easy | What is the mean (average) of 66, 66, 57, 94, 49? | 66.4 | Mean = sum/count. Sum = 66+66+57+94+49=332. Count=5. Mean=332/5=66.4. | mean |
7,726 | number_theory | medium | What is the GCD (greatest common divisor) of 55 and 90? | 5 | Find greatest number dividing both 55 and 90. Divisors common, greatest is 5. | gcd |
7,727 | arithmetic | easy | What is 211 + 399? | 610 | Add the two numbers: 211 + 399 = 610. | basic_operations |
7,728 | algebra | easy | Solve for x: 5x + 25 = -70 | -19 | Subtract 25 from both sides: 5x = -70-25=-95. Then divide by 5: x = -95/5 = -19. | linear_equation |
7,729 | arithmetic | easy | What is 101 + 819? | 920 | Add the two numbers: 101 + 819 = 920. | basic_operations |
7,730 | arithmetic | easy | What is 36 * 86? | 3096 | Multiply: 36 * 86 = 3096. | basic_operations |
7,731 | arithmetic | easy | What is 772 + 592 * 79? Remember order of operations. | 47540 | Order of operations (PEMDAS): first 592*79=46768, then 772+46768=47540. | basic_operations |
7,732 | arithmetic | easy | What is 94 * 33? | 3102 | Multiply: 94 * 33 = 3102. | basic_operations |
7,733 | roots | easy | What is the square root of 2209? | 47 | Find number that when squared gives 2209. 47*47=2209, so sqrt(2209)=47. | square_roots |
7,734 | percentages | easy | What is 72% of 173? | 124.56 | Calculate 72/100 * 173 = 0.72*173 = 124.56. | percentages |
7,735 | exponents | easy | What is 6^2? | 36 | 6^2 means multiply 6 by itself 2 times: 6*6 = 36. | exponents |
7,736 | arithmetic | easy | What is 8260 / 35? | 236 | Divide: 8260 ÷ 35 = 236 because 35*236=8260. | division |
7,737 | percentages | easy | What is 40% of 452? | 180.8 | Calculate 40/100 * 452 = 0.4*452 = 180.8. | percentages |
7,738 | algebra | easy | Solve for x: 18x - 20 = 286 | 17 | Add 20 to both sides: 18x = 286+20=306. Then x = 306/18 = 17. | linear_equation |
7,739 | number_theory | medium | What is the LCM (least common multiple) of 12 and 95? | 1140 | LCM = |12*95| / GCD(12,95). GCD=1, so LCM=1140/1=1140. | lcm |
7,740 | statistics | easy | What is the mean (average) of 82, 8, 73? | 54.33 | Mean = sum/count. Sum = 82+8+73=163. Count=3. Mean=163/3=54.33. | mean |
7,741 | roots | easy | What is the square root of 2209? | 47 | Find number that when squared gives 2209. 47*47=2209, so sqrt(2209)=47. | square_roots |
7,742 | percentages | easy | What is 17% of 674? | 114.58 | Calculate 17/100 * 674 = 0.17*674 = 114.58. | percentages |
7,743 | calculus | medium | What is the derivative of 1x^5 with respect to x? | 5x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^5] = 1*5*x^4 = 5x^4. | derivative |
7,744 | geometry | easy | Find the area of a triangle with base 98 and height 67. | 3283 | Area = 0.5*base*height = 0.5*98*67 = 3283. | triangle_area |
7,745 | calculus | medium | What is the derivative of 9x^8 with respect to x? | 72x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^8] = 9*8*x^7 = 72x^7. | derivative |
7,746 | 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 |
7,747 | 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 |
7,748 | algebra | easy | Solve for x: 19x - 29 = 28 | 3 | Add 29 to both sides: 19x = 28+29=57. Then x = 57/19 = 3. | linear_equation |
7,749 | algebra | medium | Solve for x: x^2 - 1x - 30 = 0 | x = -5, 6 | Factor: (x - -5)(x - 6) = x^2 -(1)x + -30 = 0. So x = -5 or 6. Check sum = 1, product = -30. | quadratic |
7,750 | algebra | medium | Solve for x: x^2 + 3x - 70 = 0 | x = 7, -10 | Factor: (x - 7)(x - -10) = x^2 -(-3)x + -70 = 0. So x = 7 or -10. Check sum = -3, product = -70. | quadratic |
7,751 | arithmetic | easy | What is 7728 / 69? | 112 | Divide: 7728 ÷ 69 = 112 because 69*112=7728. | division |
7,752 | number_theory | medium | What is the LCM (least common multiple) of 27 and 6? | 54 | LCM = |27*6| / GCD(27,6). GCD=3, so LCM=162/3=54. | lcm |
7,753 | roots | easy | What is the square root of 784? | 28 | Find number that when squared gives 784. 28*28=784, so sqrt(784)=28. | square_roots |
7,754 | exponents | easy | What is 12^5? | 248832 | 12^5 means multiply 12 by itself 5 times: 12*12*12*12*12 = 248832. | exponents |
7,755 | statistics | easy | What is the mean (average) of 82, 64, 65, 3? | 53.5 | Mean = sum/count. Sum = 82+64+65+3=214. Count=4. Mean=214/4=53.5. | mean |
7,756 | calculus | medium | What is the derivative of 6x^4 with respect to x? | 24x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^4] = 6*4*x^3 = 24x^3. | derivative |
7,757 | percentages | easy | What is 62% of 997? | 618.14 | Calculate 62/100 * 997 = 0.62*997 = 618.14. | percentages |
7,758 | geometry | easy | Find the area of a circle with radius 37. Use pi=3.14159, round to 2 decimals. | 4300.84 | Area = pi*r^2 = 3.14159*37^2 = 3.14159*1369 = 4300.84. | circle_area |
7,759 | roots | easy | What is the square root of 1369? | 37 | Find number that when squared gives 1369. 37*37=1369, so sqrt(1369)=37. | square_roots |
7,760 | statistics | easy | What is the mean (average) of 19, 11, 30, 46? | 26.5 | Mean = sum/count. Sum = 19+11+30+46=106. Count=4. Mean=106/4=26.5. | mean |
7,761 | fractions | medium | What is 3/17 * 11/13? Give as simplified fraction. | 33/221 | Multiply numerators: 3*11=33. Denominators: 17*13=221. Simplify by gcd 1 to get 33/221. | fraction_operations |
7,762 | 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 |
7,763 | 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 |
7,764 | statistics | easy | What is the mean (average) of 69, 91, 59, 36? | 63.75 | Mean = sum/count. Sum = 69+91+59+36=255. Count=4. Mean=255/4=63.75. | mean |
7,765 | arithmetic | easy | What is 82 * 38? | 3116 | Multiply: 82 * 38 = 3116. | basic_operations |
7,766 | calculus | medium | What is the derivative of 3x^7 with respect to x? | 21x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^7] = 3*7*x^6 = 21x^6. | derivative |
7,767 | 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 |
7,768 | 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 |
7,769 | arithmetic | easy | What is 32414 divided by 97? Give answer to 2 decimal places. | 334.16 | Calculate 32414/ 97 = 334.1649, rounded to 2 decimals is 334.16. | division |
7,770 | 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 |
7,771 | roots | easy | What is the square root of 225? | 15 | Find number that when squared gives 225. 15*15=225, so sqrt(225)=15. | square_roots |
7,772 | geometry | easy | Find the area of a triangle with base 53 and height 46. | 1219 | Area = 0.5*base*height = 0.5*53*46 = 1219. | triangle_area |
7,773 | 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 |
7,774 | number_theory | medium | What is the LCM (least common multiple) of 100 and 83? | 8300 | LCM = |100*83| / GCD(100,83). GCD=1, so LCM=8300/1=8300. | lcm |
7,775 | exponents | easy | What is 3^5? | 243 | 3^5 means multiply 3 by itself 5 times: 3*3*3*3*3 = 243. | exponents |
7,776 | word_problems | easy | If you have 72 candies and you buy 39 more candies, how many candies do you have in total? | 111 | Add initial 72 plus bought 39: 72+39=111. | addition_word |
7,777 | percentages | easy | What is 93% of 9? | 8.37 | Calculate 93/100 * 9 = 0.93*9 = 8.37. | percentages |
7,778 | arithmetic | easy | What is 979 - 580? | 399 | Subtract: 979 - 580 = 399. | basic_operations |
7,779 | algebra | medium | Solve for x: x^2 + 16x + 63 = 0 | x = -9, -7 | Factor: (x - -9)(x - -7) = x^2 -(-16)x + 63 = 0. So x = -9 or -7. Check sum = -16, product = 63. | quadratic |
7,780 | calculus | medium | What is the derivative of 4x^8 with respect to x? | 32x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^8] = 4*8*x^7 = 32x^7. | derivative |
7,781 | arithmetic | easy | What is 777 - 88? | 689 | Subtract: 777 - 88 = 689. | basic_operations |
7,782 | algebra | easy | Solve for x: 6x - 15 = -81 | -11 | Add 15 to both sides: 6x = -81+15=-66. Then x = -66/6 = -11. | linear_equation |
7,783 | algebra | easy | Solve for x: 17x - 15 = 223 | 14 | Add 15 to both sides: 17x = 223+15=238. Then x = 238/17 = 14. | linear_equation |
7,784 | fractions | medium | What is 10/7 - 16/14? Give as simplified fraction. | 2/7 | Common denominator 98. Numerator 140-112=28. So 28/98 simplifies to 2/7. | fraction_operations |
7,785 | arithmetic | easy | What is 644 - 582? | 62 | Subtract: 644 - 582 = 62. | basic_operations |
7,786 | arithmetic | easy | What is 5 + 36 * 82? Remember order of operations. | 2957 | Order of operations (PEMDAS): first 36*82=2952, then 5+2952=2957. | basic_operations |
7,787 | fractions | medium | What is 7/11 + 18/2? Give as simplified fraction. | 106/11 | Common denominator 11*2=22. 7/11=14/22, 18/2=198/22. Sum = 212/22 = 106/11 simplified. | fraction_operations |
7,788 | roots | easy | What is the square root of 225? | 15 | Find number that when squared gives 225. 15*15=225, so sqrt(225)=15. | square_roots |
7,789 | word_problems | easy | If you have 100 dollars and you buy 16 more dollars, how many dollars do you have in total? | 116 | Add initial 100 plus bought 16: 100+16=116. | addition_word |
7,790 | calculus | medium | What is the derivative of 8x^5 with respect to x? | 40x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^5] = 8*5*x^4 = 40x^4. | derivative |
7,791 | arithmetic | easy | What is 7728 / 46? | 168 | Divide: 7728 ÷ 46 = 168 because 46*168=7728. | division |
7,792 | 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 |
7,793 | number_theory | medium | What is the GCD (greatest common divisor) of 32 and 75? | 1 | Find greatest number dividing both 32 and 75. Divisors common, greatest is 1. | gcd |
7,794 | 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 |
7,795 | 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 |
7,796 | geometry | easy | Find the circumference of a circle with radius 41. Use pi=3.14159, round to 2 decimals. | 257.61 | Circumference = 2*pi*r = 2*3.14159*41 = 257.61. | circle_circum |
7,797 | algebra | easy | Solve for x: 16x - 33 = -305 | -17 | Add 33 to both sides: 16x = -305+33=-272. Then x = -272/16 = -17. | linear_equation |
7,798 | 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 |
7,799 | fractions | medium | What is 13/11 + 20/20? Give as simplified fraction. | 24/11 | Common denominator 11*20=220. 13/11=260/220, 20/20=220/220. Sum = 480/220 = 24/11 simplified. | fraction_operations |
7,800 | arithmetic | easy | What is 27612 / 78? | 354 | Divide: 27612 ÷ 78 = 354 because 78*354=27612. | division |
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