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 |
|---|---|---|---|---|---|---|
734,801 | number_theory | medium | What is the LCM (least common multiple) of 26 and 36? | 468 | LCM = |26*36| / GCD(26,36). GCD=2, so LCM=936/2=468. | lcm |
734,802 | percentages | easy | What is 72% of 103? | 74.16 | Calculate 72/100 * 103 = 0.72*103 = 74.16. | percentages |
734,803 | word_problems | easy | If you have 82 apples and you buy 2 more apples, how many apples do you have in total? | 84 | Add initial 82 plus bought 2: 82+2=84. | addition_word |
734,804 | arithmetic | easy | What is 734 + 72? | 806 | Add the two numbers: 734 + 72 = 806. | basic_operations |
734,805 | roots | easy | What is the square root of 256? | 16 | Find number that when squared gives 256. 16*16=256, so sqrt(256)=16. | square_roots |
734,806 | arithmetic | easy | What is 919 - 819? | 100 | Subtract: 919 - 819 = 100. | basic_operations |
734,807 | percentages | easy | What is 52% of 279? | 145.08 | Calculate 52/100 * 279 = 0.52*279 = 145.08. | percentages |
734,808 | number_theory | medium | What is the GCD (greatest common divisor) of 31 and 87? | 1 | Find greatest number dividing both 31 and 87. Divisors common, greatest is 1. | gcd |
734,809 | number_theory | medium | What is the LCM (least common multiple) of 15 and 19? | 285 | LCM = |15*19| / GCD(15,19). GCD=1, so LCM=285/1=285. | lcm |
734,810 | 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 |
734,811 | calculus | medium | What is the derivative of 10x^7 with respect to x? | 70x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^7] = 10*7*x^6 = 70x^6. | derivative |
734,812 | word_problems | easy | If you have 42 dollars and you buy 36 more dollars, how many dollars do you have in total? | 78 | Add initial 42 plus bought 36: 42+36=78. | addition_word |
734,813 | number_theory | medium | What is the LCM (least common multiple) of 90 and 21? | 630 | LCM = |90*21| / GCD(90,21). GCD=3, so LCM=1890/3=630. | lcm |
734,814 | roots | easy | What is the square root of 4? | 2 | Find number that when squared gives 4. 2*2=4, so sqrt(4)=2. | square_roots |
734,815 | roots | easy | What is the square root of 4? | 2 | Find number that when squared gives 4. 2*2=4, so sqrt(4)=2. | square_roots |
734,816 | exponents | easy | What is 9^3? | 729 | 9^3 means multiply 9 by itself 3 times: 9*9*9 = 729. | exponents |
734,817 | arithmetic | easy | What is 3840 divided by 14? Give answer to 2 decimal places. | 274.29 | Calculate 3840/ 14 = 274.2857, rounded to 2 decimals is 274.29. | division |
734,818 | statistics | easy | What is the mean (average) of 21, 81, 20, 76? | 49.5 | Mean = sum/count. Sum = 21+81+20+76=198. Count=4. Mean=198/4=49.5. | mean |
734,819 | arithmetic | easy | What is 283 - 194? | 89 | Subtract: 283 - 194 = 89. | basic_operations |
734,820 | word_problems | easy | If you have 79 dollars and you buy 1 more dollars, how many dollars do you have in total? | 80 | Add initial 79 plus bought 1: 79+1=80. | addition_word |
734,821 | statistics | easy | What is the mean (average) of 80, 25, 92? | 65.67 | Mean = sum/count. Sum = 80+25+92=197. Count=3. Mean=197/3=65.67. | mean |
734,822 | number_theory | medium | What is the GCD (greatest common divisor) of 5 and 83? | 1 | Find greatest number dividing both 5 and 83. Divisors common, greatest is 1. | gcd |
734,823 | algebra | medium | Solve for x: x^2 - 8x + 12 = 0 | x = 6, 2 | Factor: (x - 6)(x - 2) = x^2 -(8)x + 12 = 0. So x = 6 or 2. Check sum = 8, product = 12. | quadratic |
734,824 | number_theory | medium | What is the LCM (least common multiple) of 49 and 45? | 2205 | LCM = |49*45| / GCD(49,45). GCD=1, so LCM=2205/1=2205. | lcm |
734,825 | arithmetic | easy | What is 9825 / 25? | 393 | Divide: 9825 ÷ 25 = 393 because 25*393=9825. | division |
734,826 | 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 |
734,827 | word_problems | easy | If you have 37 apples and you buy 4 more apples, how many apples do you have in total? | 41 | Add initial 37 plus bought 4: 37+4=41. | addition_word |
734,828 | word_problems | easy | If you have 72 pencils and you buy 33 more pencils, how many pencils do you have in total? | 105 | Add initial 72 plus bought 33: 72+33=105. | addition_word |
734,829 | 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 |
734,830 | arithmetic | easy | What is 64 * 8? | 512 | Multiply: 64 * 8 = 512. | basic_operations |
734,831 | algebra | easy | Solve for x: 4x - 41 = -25 | 4 | Add 41 to both sides: 4x = -25+41=16. Then x = 16/4 = 4. | linear_equation |
734,832 | fractions | medium | What is 3/12 - 13/3? Give as simplified fraction. | -49/12 | Common denominator 36. Numerator 9-156=-147. So -147/36 simplifies to -49/12. | fraction_operations |
734,833 | statistics | easy | What is the mean (average) of 58, 29, 25? | 37.33 | Mean = sum/count. Sum = 58+29+25=112. Count=3. Mean=112/3=37.33. | mean |
734,834 | arithmetic | easy | What is 8142 divided by 36? Give answer to 2 decimal places. | 226.17 | Calculate 8142/ 36 = 226.1667, rounded to 2 decimals is 226.17. | division |
734,835 | 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 |
734,836 | statistics | easy | What is the mean (average) of 25, 4, 25, 33? | 21.75 | Mean = sum/count. Sum = 25+4+25+33=87. Count=4. Mean=87/4=21.75. | mean |
734,837 | exponents | easy | What is 5^4? | 625 | 5^4 means multiply 5 by itself 4 times: 5*5*5*5 = 625. | exponents |
734,838 | 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 |
734,839 | 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 |
734,840 | arithmetic | easy | What is 777 + 202? | 979 | Add the two numbers: 777 + 202 = 979. | basic_operations |
734,841 | statistics | easy | What is the mean (average) of 29, 67, 62, 53, 81? | 58.4 | Mean = sum/count. Sum = 29+67+62+53+81=292. Count=5. Mean=292/5=58.4. | mean |
734,842 | algebra | medium | Solve for x: x^2 - 9x + 20 = 0 | x = 5, 4 | Factor: (x - 5)(x - 4) = x^2 -(9)x + 20 = 0. So x = 5 or 4. Check sum = 9, product = 20. | quadratic |
734,843 | roots | easy | What is the square root of 169? | 13 | Find number that when squared gives 169. 13*13=169, so sqrt(169)=13. | square_roots |
734,844 | fractions | medium | What is 14/16 + 7/8? Give as simplified fraction. | 7/4 | Common denominator 16*8=128. 14/16=112/128, 7/8=112/128. Sum = 224/128 = 7/4 simplified. | fraction_operations |
734,845 | algebra | medium | Solve for x: x^2 - 6x = 0 | x = 6, 0 | Factor: (x - 6)(x - 0) = x^2 -(6)x + 0 = 0. So x = 6 or 0. Check sum = 6, product = 0. | quadratic |
734,846 | algebra | medium | Solve for x: x^2 - 1 = 0 | x = 1, -1 | Factor: (x - 1)(x - -1) = x^2 -(0)x + -1 = 0. So x = 1 or -1. Check sum = 0, product = -1. | quadratic |
734,847 | algebra | easy | Solve for x: 6x + 45 = -27 | -12 | Subtract 45 from both sides: 6x = -27-45=-72. Then divide by 6: x = -72/6 = -12. | linear_equation |
734,848 | 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 |
734,849 | algebra | easy | Solve for x: 1x + 3 = 20 | 17 | Subtract 3 from both sides: 1x = 20-3=17. Then divide by 1: x = 17/1 = 17. | linear_equation |
734,850 | arithmetic | easy | What is 799 - 451? | 348 | Subtract: 799 - 451 = 348. | basic_operations |
734,851 | 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 |
734,852 | percentages | easy | What is 21% of 575? | 120.75 | Calculate 21/100 * 575 = 0.21*575 = 120.75. | percentages |
734,853 | geometry | easy | Find the area of a circle with radius 12. Use pi=3.14159, round to 2 decimals. | 452.39 | Area = pi*r^2 = 3.14159*12^2 = 3.14159*144 = 452.39. | circle_area |
734,854 | arithmetic | easy | What is 515 + 369? | 884 | Add the two numbers: 515 + 369 = 884. | basic_operations |
734,855 | geometry | easy | Find the area of a triangle with base 47 and height 84. | 1974 | Area = 0.5*base*height = 0.5*47*84 = 1974. | triangle_area |
734,856 | geometry | easy | Find the area of a circle with radius 13. Use pi=3.14159, round to 2 decimals. | 530.93 | Area = pi*r^2 = 3.14159*13^2 = 3.14159*169 = 530.93. | circle_area |
734,857 | 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 |
734,858 | 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 |
734,859 | number_theory | medium | What is the LCM (least common multiple) of 22 and 18? | 198 | LCM = |22*18| / GCD(22,18). GCD=2, so LCM=396/2=198. | lcm |
734,860 | number_theory | medium | What is the GCD (greatest common divisor) of 84 and 47? | 1 | Find greatest number dividing both 84 and 47. Divisors common, greatest is 1. | gcd |
734,861 | arithmetic | easy | What is 2235 / 5? | 447 | Divide: 2235 ÷ 5 = 447 because 5*447=2235. | division |
734,862 | percentages | easy | What is 63% of 480? | 302.4 | Calculate 63/100 * 480 = 0.63*480 = 302.4. | percentages |
734,863 | word_problems | easy | If you have 93 books and you buy 21 more books, how many books do you have in total? | 114 | Add initial 93 plus bought 21: 93+21=114. | addition_word |
734,864 | algebra | easy | Solve for x: 8x + 46 = 46 | 0 | Subtract 46 from both sides: 8x = 46-46=0. Then divide by 8: x = 0/8 = 0. | linear_equation |
734,865 | arithmetic | easy | What is 501 + 459 * 77? Remember order of operations. | 35844 | Order of operations (PEMDAS): first 459*77=35343, then 501+35343=35844. | basic_operations |
734,866 | number_theory | medium | What is the GCD (greatest common divisor) of 51 and 78? | 3 | Find greatest number dividing both 51 and 78. Divisors common, greatest is 3. | gcd |
734,867 | word_problems | easy | If you have 35 apples and you buy 12 more apples, how many apples do you have in total? | 47 | Add initial 35 plus bought 12: 35+12=47. | addition_word |
734,868 | 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 |
734,869 | arithmetic | easy | What is 34 + 843? | 877 | Add the two numbers: 34 + 843 = 877. | basic_operations |
734,870 | algebra | easy | Solve for x: 12x - 14 = 94 | 9 | Add 14 to both sides: 12x = 94+14=108. Then x = 108/12 = 9. | linear_equation |
734,871 | arithmetic | easy | What is 36655 divided by 80? Give answer to 2 decimal places. | 458.19 | Calculate 36655/ 80 = 458.1875, rounded to 2 decimals is 458.19. | division |
734,872 | algebra | medium | Solve for x: x^2 - 10x + 9 = 0 | x = 9, 1 | Factor: (x - 9)(x - 1) = x^2 -(10)x + 9 = 0. So x = 9 or 1. Check sum = 10, product = 9. | quadratic |
734,873 | word_problems | easy | If you have 83 apples and you buy 7 more apples, how many apples do you have in total? | 90 | Add initial 83 plus bought 7: 83+7=90. | addition_word |
734,874 | geometry | easy | Find the area of a rectangle with length 22 and width 26. | 572 | Area = length * width = 22*26 = 572. | rectangle_area |
734,875 | percentages | easy | What is 40% of 947? | 378.8 | Calculate 40/100 * 947 = 0.4*947 = 378.8. | percentages |
734,876 | fractions | medium | What is 9/13 - 15/3? Give as simplified fraction. | -56/13 | Common denominator 39. Numerator 27-195=-168. So -168/39 simplifies to -56/13. | fraction_operations |
734,877 | 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 |
734,878 | calculus | medium | What is the derivative of 2x^8 with respect to x? | 16x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^8] = 2*8*x^7 = 16x^7. | derivative |
734,879 | arithmetic | easy | What is 64 * 73? | 4672 | Multiply: 64 * 73 = 4672. | basic_operations |
734,880 | exponents | easy | What is 2^4? | 16 | 2^4 means multiply 2 by itself 4 times: 2*2*2*2 = 16. | exponents |
734,881 | geometry | easy | Find the area of a circle with radius 6. Use pi=3.14159, round to 2 decimals. | 113.1 | Area = pi*r^2 = 3.14159*6^2 = 3.14159*36 = 113.1. | circle_area |
734,882 | 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 |
734,883 | arithmetic | easy | What is 944 - 836? | 108 | Subtract: 944 - 836 = 108. | basic_operations |
734,884 | calculus | medium | What is the derivative of 7x^5 with respect to x? | 35x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^5] = 7*5*x^4 = 35x^4. | derivative |
734,885 | word_problems | easy | If you have 83 books and you buy 49 more books, how many books do you have in total? | 132 | Add initial 83 plus bought 49: 83+49=132. | addition_word |
734,886 | geometry | easy | Find the area of a triangle with base 96 and height 21. | 1008 | Area = 0.5*base*height = 0.5*96*21 = 1008. | triangle_area |
734,887 | calculus | medium | What is the derivative of 2x^3 with respect to x? | 6x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^3] = 2*3*x^2 = 6x^2. | derivative |
734,888 | algebra | easy | Solve for x: 9x - 3 = 42 | 5 | Add 3 to both sides: 9x = 42+3=45. Then x = 45/9 = 5. | linear_equation |
734,889 | 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 |
734,890 | fractions | medium | What is 8/9 * 13/3? Give as simplified fraction. | 104/27 | Multiply numerators: 8*13=104. Denominators: 9*3=27. Simplify by gcd 1 to get 104/27. | fraction_operations |
734,891 | statistics | easy | What is the mean (average) of 50, 55, 52? | 52.33 | Mean = sum/count. Sum = 50+55+52=157. Count=3. Mean=157/3=52.33. | mean |
734,892 | fractions | medium | What is 14/6 - 11/18? Give as simplified fraction. | 31/18 | Common denominator 108. Numerator 252-66=186. So 186/108 simplifies to 31/18. | fraction_operations |
734,893 | roots | easy | What is the square root of 1600? | 40 | Find number that when squared gives 1600. 40*40=1600, so sqrt(1600)=40. | square_roots |
734,894 | 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 |
734,895 | algebra | easy | Solve for x: 20x + 27 = 367 | 17 | Subtract 27 from both sides: 20x = 367-27=340. Then divide by 20: x = 340/20 = 17. | linear_equation |
734,896 | number_theory | medium | What is the GCD (greatest common divisor) of 58 and 6? | 2 | Find greatest number dividing both 58 and 6. Divisors common, greatest is 2. | gcd |
734,897 | fractions | medium | What is 19/12 * 1/5? Give as simplified fraction. | 19/60 | Multiply numerators: 19*1=19. Denominators: 12*5=60. Simplify by gcd 1 to get 19/60. | fraction_operations |
734,898 | arithmetic | easy | What is 5738 / 19? | 302 | Divide: 5738 ÷ 19 = 302 because 19*302=5738. | division |
734,899 | geometry | easy | Find the area of a rectangle with length 41 and width 74. | 3034 | Area = length * width = 41*74 = 3034. | rectangle_area |
734,900 | 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.