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 |
|---|---|---|---|---|---|---|
729,901 | geometry | easy | Find the circumference of a circle with radius 38. Use pi=3.14159, round to 2 decimals. | 238.76 | Circumference = 2*pi*r = 2*3.14159*38 = 238.76. | circle_circum |
729,902 | number_theory | medium | What is the GCD (greatest common divisor) of 9 and 38? | 1 | Find greatest number dividing both 9 and 38. Divisors common, greatest is 1. | gcd |
729,903 | algebra | easy | Solve for x: 18x + 9 = 99 | 5 | Subtract 9 from both sides: 18x = 99-9=90. Then divide by 18: x = 90/18 = 5. | linear_equation |
729,904 | arithmetic | easy | What is 17017 divided by 42? Give answer to 2 decimal places. | 405.17 | Calculate 17017/ 42 = 405.1667, rounded to 2 decimals is 405.17. | division |
729,905 | calculus | medium | What is the derivative of 6x^8 with respect to x? | 48x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^8] = 6*8*x^7 = 48x^7. | derivative |
729,906 | arithmetic | easy | What is 12763 divided by 36? Give answer to 2 decimal places. | 354.53 | Calculate 12763/ 36 = 354.5278, rounded to 2 decimals is 354.53. | division |
729,907 | roots | easy | What is the square root of 1681? | 41 | Find number that when squared gives 1681. 41*41=1681, so sqrt(1681)=41. | square_roots |
729,908 | arithmetic | easy | What is 39672 / 87? | 456 | Divide: 39672 ÷ 87 = 456 because 87*456=39672. | division |
729,909 | algebra | easy | Solve for x: 2x - 5 = -23 | -9 | Add 5 to both sides: 2x = -23+5=-18. Then x = -18/2 = -9. | linear_equation |
729,910 | 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 |
729,911 | word_problems | easy | If you have 42 pencils and you buy 42 more pencils, how many pencils do you have in total? | 84 | Add initial 42 plus bought 42: 42+42=84. | addition_word |
729,912 | fractions | medium | What is 1/6 * 5/20? Give as simplified fraction. | 1/24 | Multiply numerators: 1*5=5. Denominators: 6*20=120. Simplify by gcd 5 to get 1/24. | fraction_operations |
729,913 | arithmetic | easy | What is 57 * 68? | 3876 | Multiply: 57 * 68 = 3876. | basic_operations |
729,914 | statistics | easy | What is the mean (average) of 93, 60, 31, 11, 84? | 55.8 | Mean = sum/count. Sum = 93+60+31+11+84=279. Count=5. Mean=279/5=55.8. | mean |
729,915 | percentages | easy | What is 27% of 351? | 94.77 | Calculate 27/100 * 351 = 0.27*351 = 94.77. | percentages |
729,916 | exponents | easy | What is 3^3? | 27 | 3^3 means multiply 3 by itself 3 times: 3*3*3 = 27. | exponents |
729,917 | arithmetic | easy | What is 164 + 652? | 816 | Add the two numbers: 164 + 652 = 816. | basic_operations |
729,918 | arithmetic | easy | What is 56 * 7? | 392 | Multiply: 56 * 7 = 392. | basic_operations |
729,919 | 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 |
729,920 | arithmetic | easy | What is 6468 / 77? | 84 | Divide: 6468 ÷ 77 = 84 because 77*84=6468. | division |
729,921 | 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 |
729,922 | fractions | medium | What is 10/17 + 11/11? Give as simplified fraction. | 27/17 | Common denominator 17*11=187. 10/17=110/187, 11/11=187/187. Sum = 297/187 = 27/17 simplified. | fraction_operations |
729,923 | word_problems | easy | If you have 50 pencils and you buy 47 more pencils, how many pencils do you have in total? | 97 | Add initial 50 plus bought 47: 50+47=97. | addition_word |
729,924 | arithmetic | easy | What is 732 + 554 * 96? Remember order of operations. | 53916 | Order of operations (PEMDAS): first 554*96=53184, then 732+53184=53916. | basic_operations |
729,925 | arithmetic | easy | What is 811 + 295? | 1106 | Add the two numbers: 811 + 295 = 1106. | basic_operations |
729,926 | exponents | easy | What is 9^2? | 81 | 9^2 means multiply 9 by itself 2 times: 9*9 = 81. | exponents |
729,927 | exponents | easy | What is 4^5? | 1024 | 4^5 means multiply 4 by itself 5 times: 4*4*4*4*4 = 1024. | exponents |
729,928 | arithmetic | easy | What is 55 + 15 * 14? Remember order of operations. | 265 | Order of operations (PEMDAS): first 15*14=210, then 55+210=265. | basic_operations |
729,929 | statistics | easy | What is the mean (average) of 93, 19, 80, 71? | 65.75 | Mean = sum/count. Sum = 93+19+80+71=263. Count=4. Mean=263/4=65.75. | mean |
729,930 | calculus | medium | What is the derivative of 4x^5 with respect to x? | 20x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^5] = 4*5*x^4 = 20x^4. | derivative |
729,931 | arithmetic | easy | What is 5760 / 15? | 384 | Divide: 5760 ÷ 15 = 384 because 15*384=5760. | division |
729,932 | arithmetic | easy | What is 2946 divided by 40? Give answer to 2 decimal places. | 73.65 | Calculate 2946/ 40 = 73.6500, rounded to 2 decimals is 73.65. | division |
729,933 | arithmetic | easy | What is 2961 / 21? | 141 | Divide: 2961 ÷ 21 = 141 because 21*141=2961. | division |
729,934 | statistics | easy | What is the mean (average) of 26, 28, 68, 13? | 33.75 | Mean = sum/count. Sum = 26+28+68+13=135. Count=4. Mean=135/4=33.75. | mean |
729,935 | roots | easy | What is the square root of 81? | 9 | Find number that when squared gives 81. 9*9=81, so sqrt(81)=9. | square_roots |
729,936 | number_theory | medium | What is the GCD (greatest common divisor) of 42 and 14? | 14 | Find greatest number dividing both 42 and 14. Divisors common, greatest is 14. | gcd |
729,937 | arithmetic | easy | What is 18333 / 63? | 291 | Divide: 18333 ÷ 63 = 291 because 63*291=18333. | division |
729,938 | geometry | easy | Find the area of a triangle with base 60 and height 50. | 1500 | Area = 0.5*base*height = 0.5*60*50 = 1500. | triangle_area |
729,939 | fractions | medium | What is 18/20 + 13/11? Give as simplified fraction. | 229/110 | Common denominator 20*11=220. 18/20=198/220, 13/11=260/220. Sum = 458/220 = 229/110 simplified. | fraction_operations |
729,940 | geometry | easy | Find the perimeter of a rectangle with length 19 and width 84. | 206 | Perimeter = 2*(length+width) = 2*(19+84) = 2*103 = 206. | rectangle_perim |
729,941 | arithmetic | easy | What is 93 * 44? | 4092 | Multiply: 93 * 44 = 4092. | basic_operations |
729,942 | arithmetic | easy | What is 459 - 36? | 423 | Subtract: 459 - 36 = 423. | basic_operations |
729,943 | exponents | easy | What is 12^5? | 248832 | 12^5 means multiply 12 by itself 5 times: 12*12*12*12*12 = 248832. | exponents |
729,944 | 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 |
729,945 | algebra | easy | Solve for x: 6x + 43 = -5 | -8 | Subtract 43 from both sides: 6x = -5-43=-48. Then divide by 6: x = -48/6 = -8. | linear_equation |
729,946 | number_theory | medium | What is the LCM (least common multiple) of 30 and 93? | 930 | LCM = |30*93| / GCD(30,93). GCD=3, so LCM=2790/3=930. | lcm |
729,947 | exponents | easy | What is 7^3? | 343 | 7^3 means multiply 7 by itself 3 times: 7*7*7 = 343. | exponents |
729,948 | exponents | easy | What is 11^2? | 121 | 11^2 means multiply 11 by itself 2 times: 11*11 = 121. | exponents |
729,949 | arithmetic | easy | What is 754 - 347? | 407 | Subtract: 754 - 347 = 407. | basic_operations |
729,950 | arithmetic | easy | What is 19778 divided by 84? Give answer to 2 decimal places. | 235.45 | Calculate 19778/ 84 = 235.4524, rounded to 2 decimals is 235.45. | division |
729,951 | exponents | easy | What is 10^4? | 10000 | 10^4 means multiply 10 by itself 4 times: 10*10*10*10 = 10000. | exponents |
729,952 | arithmetic | easy | What is 19596 / 69? | 284 | Divide: 19596 ÷ 69 = 284 because 69*284=19596. | division |
729,953 | algebra | medium | Solve for x: x^2 + 14x + 45 = 0 | x = -5, -9 | Factor: (x - -5)(x - -9) = x^2 -(-14)x + 45 = 0. So x = -5 or -9. Check sum = -14, product = 45. | quadratic |
729,954 | arithmetic | easy | What is 560 divided by 11? Give answer to 2 decimal places. | 50.91 | Calculate 560/ 11 = 50.9091, rounded to 2 decimals is 50.91. | division |
729,955 | number_theory | medium | What is the LCM (least common multiple) of 53 and 73? | 3869 | LCM = |53*73| / GCD(53,73). GCD=1, so LCM=3869/1=3869. | lcm |
729,956 | arithmetic | easy | What is 26600 / 95? | 280 | Divide: 26600 ÷ 95 = 280 because 95*280=26600. | division |
729,957 | word_problems | easy | If you have 65 books and you buy 34 more books, how many books do you have in total? | 99 | Add initial 65 plus bought 34: 65+34=99. | addition_word |
729,958 | 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 |
729,959 | geometry | easy | Find the area of a circle with radius 45. Use pi=3.14159, round to 2 decimals. | 6361.73 | Area = pi*r^2 = 3.14159*45^2 = 3.14159*2025 = 6361.73. | circle_area |
729,960 | arithmetic | easy | What is 483 divided by 5? Give answer to 2 decimal places. | 96.6 | Calculate 483/ 5 = 96.6000, rounded to 2 decimals is 96.6. | division |
729,961 | exponents | easy | What is 12^5? | 248832 | 12^5 means multiply 12 by itself 5 times: 12*12*12*12*12 = 248832. | exponents |
729,962 | arithmetic | easy | What is 39 + 70 * 88? Remember order of operations. | 6199 | Order of operations (PEMDAS): first 70*88=6160, then 39+6160=6199. | basic_operations |
729,963 | geometry | easy | Find the area of a rectangle with length 24 and width 21. | 504 | Area = length * width = 24*21 = 504. | rectangle_area |
729,964 | 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 |
729,965 | percentages | easy | What is 47% of 876? | 411.72 | Calculate 47/100 * 876 = 0.47*876 = 411.72. | percentages |
729,966 | geometry | easy | Find the area of a triangle with base 38 and height 73. | 1387 | Area = 0.5*base*height = 0.5*38*73 = 1387. | triangle_area |
729,967 | algebra | easy | Solve for x: 8x + 35 = -125 | -20 | Subtract 35 from both sides: 8x = -125-35=-160. Then divide by 8: x = -160/8 = -20. | linear_equation |
729,968 | 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 |
729,969 | statistics | easy | What is the mean (average) of 75, 17, 56, 63, 58? | 53.8 | Mean = sum/count. Sum = 75+17+56+63+58=269. Count=5. Mean=269/5=53.8. | mean |
729,970 | geometry | easy | Find the perimeter of a rectangle with length 70 and width 84. | 308 | Perimeter = 2*(length+width) = 2*(70+84) = 2*154 = 308. | rectangle_perim |
729,971 | 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 |
729,972 | percentages | easy | What is 77% of 931? | 716.87 | Calculate 77/100 * 931 = 0.77*931 = 716.87. | percentages |
729,973 | number_theory | medium | What is the GCD (greatest common divisor) of 90 and 74? | 2 | Find greatest number dividing both 90 and 74. Divisors common, greatest is 2. | gcd |
729,974 | fractions | medium | What is 14/9 * 18/8? Give as simplified fraction. | 7/2 | Multiply numerators: 14*18=252. Denominators: 9*8=72. Simplify by gcd 36 to get 7/2. | fraction_operations |
729,975 | algebra | easy | Solve for x: 10x - 45 = -175 | -13 | Add 45 to both sides: 10x = -175+45=-130. Then x = -130/10 = -13. | linear_equation |
729,976 | exponents | easy | What is 11^2? | 121 | 11^2 means multiply 11 by itself 2 times: 11*11 = 121. | exponents |
729,977 | percentages | easy | What is 77% of 259? | 199.43 | Calculate 77/100 * 259 = 0.77*259 = 199.43. | percentages |
729,978 | geometry | easy | Find the area of a circle with radius 33. Use pi=3.14159, round to 2 decimals. | 3421.19 | Area = pi*r^2 = 3.14159*33^2 = 3.14159*1089 = 3421.19. | circle_area |
729,979 | exponents | easy | What is 11^3? | 1331 | 11^3 means multiply 11 by itself 3 times: 11*11*11 = 1331. | exponents |
729,980 | arithmetic | easy | What is 4902 / 86? | 57 | Divide: 4902 ÷ 86 = 57 because 86*57=4902. | division |
729,981 | algebra | medium | Solve for x: x^2 + 17x + 70 = 0 | x = -10, -7 | Factor: (x - -10)(x - -7) = x^2 -(-17)x + 70 = 0. So x = -10 or -7. Check sum = -17, product = 70. | quadratic |
729,982 | statistics | easy | What is the mean (average) of 18, 27, 1? | 15.33 | Mean = sum/count. Sum = 18+27+1=46. Count=3. Mean=46/3=15.33. | mean |
729,983 | statistics | easy | What is the mean (average) of 93, 32, 4, 89, 89? | 61.4 | Mean = sum/count. Sum = 93+32+4+89+89=307. Count=5. Mean=307/5=61.4. | mean |
729,984 | number_theory | medium | What is the GCD (greatest common divisor) of 49 and 47? | 1 | Find greatest number dividing both 49 and 47. Divisors common, greatest is 1. | gcd |
729,985 | fractions | medium | What is 3/2 - 12/13? Give as simplified fraction. | 15/26 | Common denominator 26. Numerator 39-24=15. So 15/26 simplifies to 15/26. | fraction_operations |
729,986 | 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 |
729,987 | exponents | easy | What is 6^4? | 1296 | 6^4 means multiply 6 by itself 4 times: 6*6*6*6 = 1296. | exponents |
729,988 | percentages | easy | What is 98% of 765? | 749.7 | Calculate 98/100 * 765 = 0.98*765 = 749.7. | percentages |
729,989 | arithmetic | easy | What is 484 + 689? | 1173 | Add the two numbers: 484 + 689 = 1173. | basic_operations |
729,990 | percentages | easy | What is 19% of 210? | 39.9 | Calculate 19/100 * 210 = 0.19*210 = 39.9. | percentages |
729,991 | 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 |
729,992 | algebra | medium | Solve for x: x^2 - 12x + 32 = 0 | x = 8, 4 | Factor: (x - 8)(x - 4) = x^2 -(12)x + 32 = 0. So x = 8 or 4. Check sum = 12, product = 32. | quadratic |
729,993 | fractions | medium | What is 8/8 * 16/2? Give as simplified fraction. | 8 | Multiply numerators: 8*16=128. Denominators: 8*2=16. Simplify by gcd 16 to get 8. | fraction_operations |
729,994 | 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 |
729,995 | exponents | easy | What is 8^5? | 32768 | 8^5 means multiply 8 by itself 5 times: 8*8*8*8*8 = 32768. | exponents |
729,996 | calculus | medium | What is the derivative of 7x^4 with respect to x? | 28x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^4] = 7*4*x^3 = 28x^3. | derivative |
729,997 | 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 |
729,998 | statistics | easy | What is the mean (average) of 64, 91, 3? | 52.67 | Mean = sum/count. Sum = 64+91+3=158. Count=3. Mean=158/3=52.67. | mean |
729,999 | fractions | medium | What is 15/5 + 3/11? Give as simplified fraction. | 36/11 | Common denominator 5*11=55. 15/5=165/55, 3/11=15/55. Sum = 180/55 = 36/11 simplified. | fraction_operations |
730,000 | arithmetic | easy | What is 20 * 21? | 420 | Multiply: 20 * 21 = 420. | basic_operations |
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