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 |
|---|---|---|---|---|---|---|
4,901 | geometry | easy | Find the perimeter of a rectangle with length 77 and width 86. | 326 | Perimeter = 2*(length+width) = 2*(77+86) = 2*163 = 326. | rectangle_perim |
4,902 | 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 |
4,903 | algebra | easy | Solve for x: 15x + 42 = 117 | 5 | Subtract 42 from both sides: 15x = 117-42=75. Then divide by 15: x = 75/15 = 5. | linear_equation |
4,904 | statistics | easy | What is the mean (average) of 82, 7, 35, 6, 76? | 41.2 | Mean = sum/count. Sum = 82+7+35+6+76=206. Count=5. Mean=206/5=41.2. | mean |
4,905 | number_theory | medium | What is the GCD (greatest common divisor) of 30 and 92? | 2 | Find greatest number dividing both 30 and 92. Divisors common, greatest is 2. | gcd |
4,906 | geometry | easy | Find the area of a rectangle with length 75 and width 55. | 4125 | Area = length * width = 75*55 = 4125. | rectangle_area |
4,907 | arithmetic | easy | What is 10296 divided by 47? Give answer to 2 decimal places. | 219.06 | Calculate 10296/ 47 = 219.0638, rounded to 2 decimals is 219.06. | division |
4,908 | percentages | easy | What is 23% of 500? | 115 | Calculate 23/100 * 500 = 0.23*500 = 115. | percentages |
4,909 | exponents | easy | What is 12^3? | 1728 | 12^3 means multiply 12 by itself 3 times: 12*12*12 = 1728. | exponents |
4,910 | 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 |
4,911 | calculus | medium | What is the derivative of 2x^4 with respect to x? | 8x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^4] = 2*4*x^3 = 8x^3. | derivative |
4,912 | word_problems | easy | If you have 79 candies and you buy 43 more candies, how many candies do you have in total? | 122 | Add initial 79 plus bought 43: 79+43=122. | addition_word |
4,913 | algebra | medium | Solve for x: x^2 - 9x - 10 = 0 | x = -1, 10 | Factor: (x - -1)(x - 10) = x^2 -(9)x + -10 = 0. So x = -1 or 10. Check sum = 9, product = -10. | quadratic |
4,914 | arithmetic | easy | What is 82 * 37? | 3034 | Multiply: 82 * 37 = 3034. | basic_operations |
4,915 | 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 |
4,916 | percentages | easy | What is 93% of 272? | 252.96 | Calculate 93/100 * 272 = 0.93*272 = 252.96. | percentages |
4,917 | 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 |
4,918 | geometry | easy | Find the circumference of a circle with radius 33. Use pi=3.14159, round to 2 decimals. | 207.35 | Circumference = 2*pi*r = 2*3.14159*33 = 207.35. | circle_circum |
4,919 | exponents | easy | What is 4^2? | 16 | 4^2 means multiply 4 by itself 2 times: 4*4 = 16. | exponents |
4,920 | word_problems | easy | If you have 6 pencils and you buy 10 more pencils, how many pencils do you have in total? | 16 | Add initial 6 plus bought 10: 6+10=16. | addition_word |
4,921 | roots | easy | What is the square root of 49? | 7 | Find number that when squared gives 49. 7*7=49, so sqrt(49)=7. | square_roots |
4,922 | 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 |
4,923 | number_theory | medium | What is the GCD (greatest common divisor) of 75 and 98? | 1 | Find greatest number dividing both 75 and 98. Divisors common, greatest is 1. | gcd |
4,924 | 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 |
4,925 | algebra | easy | Solve for x: 1x + 14 = 30 | 16 | Subtract 14 from both sides: 1x = 30-14=16. Then divide by 1: x = 16/1 = 16. | linear_equation |
4,926 | percentages | easy | What is 35% of 548? | 191.8 | Calculate 35/100 * 548 = 0.35*548 = 191.8. | percentages |
4,927 | 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 |
4,928 | percentages | easy | What is 79% of 43? | 33.97 | Calculate 79/100 * 43 = 0.79*43 = 33.97. | percentages |
4,929 | 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 |
4,930 | geometry | easy | Find the circumference of a circle with radius 31. Use pi=3.14159, round to 2 decimals. | 194.78 | Circumference = 2*pi*r = 2*3.14159*31 = 194.78. | circle_circum |
4,931 | algebra | easy | Solve for x: 17x + 6 = 312 | 18 | Subtract 6 from both sides: 17x = 312-6=306. Then divide by 17: x = 306/17 = 18. | linear_equation |
4,932 | arithmetic | easy | What is 436 + 23 * 80? Remember order of operations. | 2276 | Order of operations (PEMDAS): first 23*80=1840, then 436+1840=2276. | basic_operations |
4,933 | arithmetic | easy | What is 97 + 93 * 15? Remember order of operations. | 1492 | Order of operations (PEMDAS): first 93*15=1395, then 97+1395=1492. | basic_operations |
4,934 | algebra | medium | Solve for x: x^2 + 1x - 12 = 0 | x = -4, 3 | Factor: (x - -4)(x - 3) = x^2 -(-1)x + -12 = 0. So x = -4 or 3. Check sum = -1, product = -12. | quadratic |
4,935 | arithmetic | easy | What is 3426 divided by 31? Give answer to 2 decimal places. | 110.52 | Calculate 3426/ 31 = 110.5161, rounded to 2 decimals is 110.52. | division |
4,936 | arithmetic | easy | What is 350 + 192? | 542 | Add the two numbers: 350 + 192 = 542. | basic_operations |
4,937 | roots | easy | What is the square root of 1296? | 36 | Find number that when squared gives 1296. 36*36=1296, so sqrt(1296)=36. | square_roots |
4,938 | arithmetic | easy | What is 9063 / 53? | 171 | Divide: 9063 ÷ 53 = 171 because 53*171=9063. | division |
4,939 | 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 |
4,940 | exponents | easy | What is 9^3? | 729 | 9^3 means multiply 9 by itself 3 times: 9*9*9 = 729. | exponents |
4,941 | geometry | easy | Find the area of a rectangle with length 79 and width 13. | 1027 | Area = length * width = 79*13 = 1027. | rectangle_area |
4,942 | 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 |
4,943 | arithmetic | easy | What is 894 + 198 * 90? Remember order of operations. | 18714 | Order of operations (PEMDAS): first 198*90=17820, then 894+17820=18714. | basic_operations |
4,944 | 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 |
4,945 | arithmetic | easy | What is 774 - 482? | 292 | Subtract: 774 - 482 = 292. | basic_operations |
4,946 | arithmetic | easy | What is 34 * 77? | 2618 | Multiply: 34 * 77 = 2618. | basic_operations |
4,947 | arithmetic | easy | What is 560 + 555? | 1115 | Add the two numbers: 560 + 555 = 1115. | basic_operations |
4,948 | word_problems | easy | If you have 75 apples and you buy 10 more apples, how many apples do you have in total? | 85 | Add initial 75 plus bought 10: 75+10=85. | addition_word |
4,949 | geometry | easy | Find the area of a rectangle with length 57 and width 35. | 1995 | Area = length * width = 57*35 = 1995. | rectangle_area |
4,950 | 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 |
4,951 | arithmetic | easy | What is 12900 / 30? | 430 | Divide: 12900 ÷ 30 = 430 because 30*430=12900. | division |
4,952 | 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 |
4,953 | geometry | easy | Find the area of a triangle with base 55 and height 79. | 2172.5 | Area = 0.5*base*height = 0.5*55*79 = 2172.5. | triangle_area |
4,954 | percentages | easy | What is 90% of 999? | 899.1 | Calculate 90/100 * 999 = 0.9*999 = 899.1. | percentages |
4,955 | 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 |
4,956 | word_problems | easy | If you have 44 candies and you buy 33 more candies, how many candies do you have in total? | 77 | Add initial 44 plus bought 33: 44+33=77. | addition_word |
4,957 | exponents | easy | What is 3^4? | 81 | 3^4 means multiply 3 by itself 4 times: 3*3*3*3 = 81. | exponents |
4,958 | roots | easy | What is the square root of 1444? | 38 | Find number that when squared gives 1444. 38*38=1444, so sqrt(1444)=38. | square_roots |
4,959 | geometry | easy | Find the area of a circle with radius 43. Use pi=3.14159, round to 2 decimals. | 5808.8 | Area = pi*r^2 = 3.14159*43^2 = 3.14159*1849 = 5808.8. | circle_area |
4,960 | arithmetic | easy | What is 114 + 128? | 242 | Add the two numbers: 114 + 128 = 242. | basic_operations |
4,961 | algebra | medium | Solve for x: x^2 + 4x - 45 = 0 | x = -9, 5 | Factor: (x - -9)(x - 5) = x^2 -(-4)x + -45 = 0. So x = -9 or 5. Check sum = -4, product = -45. | quadratic |
4,962 | number_theory | medium | What is the LCM (least common multiple) of 32 and 90? | 1440 | LCM = |32*90| / GCD(32,90). GCD=2, so LCM=2880/2=1440. | lcm |
4,963 | arithmetic | easy | What is 360 + 117 * 10? Remember order of operations. | 1530 | Order of operations (PEMDAS): first 117*10=1170, then 360+1170=1530. | basic_operations |
4,964 | arithmetic | easy | What is 97 * 99? | 9603 | Multiply: 97 * 99 = 9603. | basic_operations |
4,965 | 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 |
4,966 | 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 |
4,967 | 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 |
4,968 | algebra | easy | Solve for x: 4x + 15 = 83 | 17 | Subtract 15 from both sides: 4x = 83-15=68. Then divide by 4: x = 68/4 = 17. | linear_equation |
4,969 | 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 |
4,970 | arithmetic | easy | What is 389 + 498 * 1? Remember order of operations. | 887 | Order of operations (PEMDAS): first 498*1=498, then 389+498=887. | basic_operations |
4,971 | exponents | easy | What is 4^4? | 256 | 4^4 means multiply 4 by itself 4 times: 4*4*4*4 = 256. | exponents |
4,972 | geometry | easy | Find the perimeter of a rectangle with length 7 and width 38. | 90 | Perimeter = 2*(length+width) = 2*(7+38) = 2*45 = 90. | rectangle_perim |
4,973 | calculus | medium | What is the derivative of 5x^5 with respect to x? | 25x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^5] = 5*5*x^4 = 25x^4. | derivative |
4,974 | 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 |
4,975 | statistics | easy | What is the mean (average) of 7, 42, 56, 34? | 34.75 | Mean = sum/count. Sum = 7+42+56+34=139. Count=4. Mean=139/4=34.75. | mean |
4,976 | algebra | medium | Solve for x: x^2 + 11x + 10 = 0 | x = -10, -1 | Factor: (x - -10)(x - -1) = x^2 -(-11)x + 10 = 0. So x = -10 or -1. Check sum = -11, product = 10. | quadratic |
4,977 | 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 |
4,978 | number_theory | medium | What is the LCM (least common multiple) of 63 and 97? | 6111 | LCM = |63*97| / GCD(63,97). GCD=1, so LCM=6111/1=6111. | lcm |
4,979 | roots | easy | What is the square root of 1225? | 35 | Find number that when squared gives 1225. 35*35=1225, so sqrt(1225)=35. | square_roots |
4,980 | arithmetic | easy | What is 585 - 462? | 123 | Subtract: 585 - 462 = 123. | basic_operations |
4,981 | fractions | medium | What is 17/2 + 14/6? Give as simplified fraction. | 65/6 | Common denominator 2*6=12. 17/2=102/12, 14/6=28/12. Sum = 130/12 = 65/6 simplified. | fraction_operations |
4,982 | number_theory | medium | What is the LCM (least common multiple) of 34 and 52? | 884 | LCM = |34*52| / GCD(34,52). GCD=2, so LCM=1768/2=884. | lcm |
4,983 | algebra | easy | Solve for x: 6x + 48 = 84 | 6 | Subtract 48 from both sides: 6x = 84-48=36. Then divide by 6: x = 36/6 = 6. | linear_equation |
4,984 | 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 |
4,985 | exponents | easy | What is 2^2? | 4 | 2^2 means multiply 2 by itself 2 times: 2*2 = 4. | exponents |
4,986 | 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 |
4,987 | number_theory | medium | What is the GCD (greatest common divisor) of 30 and 7? | 1 | Find greatest number dividing both 30 and 7. Divisors common, greatest is 1. | gcd |
4,988 | 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 |
4,989 | algebra | medium | Solve for x: x^2 + 12x + 35 = 0 | x = -7, -5 | Factor: (x - -7)(x - -5) = x^2 -(-12)x + 35 = 0. So x = -7 or -5. Check sum = -12, product = 35. | quadratic |
4,990 | algebra | easy | Solve for x: 10x - 27 = 53 | 8 | Add 27 to both sides: 10x = 53+27=80. Then x = 80/10 = 8. | linear_equation |
4,991 | 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 |
4,992 | statistics | easy | What is the mean (average) of 52, 18, 98, 41? | 52.25 | Mean = sum/count. Sum = 52+18+98+41=209. Count=4. Mean=209/4=52.25. | mean |
4,993 | arithmetic | easy | What is 400 + 29 * 14? Remember order of operations. | 806 | Order of operations (PEMDAS): first 29*14=406, then 400+406=806. | basic_operations |
4,994 | arithmetic | easy | What is 2483 / 13? | 191 | Divide: 2483 ÷ 13 = 191 because 13*191=2483. | division |
4,995 | 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 |
4,996 | arithmetic | easy | What is 51 * 62? | 3162 | Multiply: 51 * 62 = 3162. | basic_operations |
4,997 | algebra | easy | Solve for x: 7x - 40 = -103 | -9 | Add 40 to both sides: 7x = -103+40=-63. Then x = -63/7 = -9. | linear_equation |
4,998 | number_theory | medium | What is the LCM (least common multiple) of 57 and 2? | 114 | LCM = |57*2| / GCD(57,2). GCD=1, so LCM=114/1=114. | lcm |
4,999 | word_problems | easy | If you have 22 candies and you buy 46 more candies, how many candies do you have in total? | 68 | Add initial 22 plus bought 46: 22+46=68. | addition_word |
5,000 | geometry | easy | Find the perimeter of a rectangle with length 82 and width 55. | 274 | Perimeter = 2*(length+width) = 2*(82+55) = 2*137 = 274. | rectangle_perim |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.