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 |
|---|---|---|---|---|---|---|
5,901 | 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 |
5,902 | percentages | easy | What is 36% of 423? | 152.28 | Calculate 36/100 * 423 = 0.36*423 = 152.28. | percentages |
5,903 | 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 |
5,904 | word_problems | easy | If you have 46 pencils and you buy 25 more pencils, how many pencils do you have in total? | 71 | Add initial 46 plus bought 25: 46+25=71. | addition_word |
5,905 | geometry | easy | Find the area of a circle with radius 38. Use pi=3.14159, round to 2 decimals. | 4536.46 | Area = pi*r^2 = 3.14159*38^2 = 3.14159*1444 = 4536.46. | circle_area |
5,906 | geometry | easy | Find the circumference of a circle with radius 28. Use pi=3.14159, round to 2 decimals. | 175.93 | Circumference = 2*pi*r = 2*3.14159*28 = 175.93. | circle_circum |
5,907 | word_problems | easy | If you have 23 apples and you buy 46 more apples, how many apples do you have in total? | 69 | Add initial 23 plus bought 46: 23+46=69. | addition_word |
5,908 | arithmetic | easy | What is 2538 / 9? | 282 | Divide: 2538 ÷ 9 = 282 because 9*282=2538. | division |
5,909 | arithmetic | easy | What is 12 * 89? | 1068 | Multiply: 12 * 89 = 1068. | basic_operations |
5,910 | algebra | easy | Solve for x: 8x + 15 = 79 | 8 | Subtract 15 from both sides: 8x = 79-15=64. Then divide by 8: x = 64/8 = 8. | linear_equation |
5,911 | exponents | easy | What is 2^3? | 8 | 2^3 means multiply 2 by itself 3 times: 2*2*2 = 8. | exponents |
5,912 | 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 |
5,913 | number_theory | medium | What is the LCM (least common multiple) of 65 and 9? | 585 | LCM = |65*9| / GCD(65,9). GCD=1, so LCM=585/1=585. | lcm |
5,914 | geometry | easy | Find the area of a circle with radius 9. Use pi=3.14159, round to 2 decimals. | 254.47 | Area = pi*r^2 = 3.14159*9^2 = 3.14159*81 = 254.47. | circle_area |
5,915 | word_problems | easy | If you have 34 books and you buy 23 more books, how many books do you have in total? | 57 | Add initial 34 plus bought 23: 34+23=57. | addition_word |
5,916 | 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 |
5,917 | algebra | medium | Solve for x: x^2 + 2x - 3 = 0 | x = -3, 1 | Factor: (x - -3)(x - 1) = x^2 -(-2)x + -3 = 0. So x = -3 or 1. Check sum = -2, product = -3. | quadratic |
5,918 | word_problems | easy | If you have 7 dollars and you buy 1 more dollars, how many dollars do you have in total? | 8 | Add initial 7 plus bought 1: 7+1=8. | addition_word |
5,919 | arithmetic | easy | What is 18 * 71? | 1278 | Multiply: 18 * 71 = 1278. | basic_operations |
5,920 | arithmetic | easy | What is 4320 / 72? | 60 | Divide: 4320 ÷ 72 = 60 because 72*60=4320. | division |
5,921 | algebra | medium | Solve for x: x^2 - 10x = 0 | x = 10, 0 | Factor: (x - 10)(x - 0) = x^2 -(10)x + 0 = 0. So x = 10 or 0. Check sum = 10, product = 0. | quadratic |
5,922 | number_theory | medium | What is the LCM (least common multiple) of 73 and 3? | 219 | LCM = |73*3| / GCD(73,3). GCD=1, so LCM=219/1=219. | lcm |
5,923 | 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 |
5,924 | arithmetic | easy | What is 476 + 617 * 23? Remember order of operations. | 14667 | Order of operations (PEMDAS): first 617*23=14191, then 476+14191=14667. | basic_operations |
5,925 | 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 |
5,926 | arithmetic | easy | What is 32 + 67 * 17? Remember order of operations. | 1171 | Order of operations (PEMDAS): first 67*17=1139, then 32+1139=1171. | basic_operations |
5,927 | arithmetic | easy | What is 23 * 26? | 598 | Multiply: 23 * 26 = 598. | basic_operations |
5,928 | algebra | easy | Solve for x: 19x + 44 = 424 | 20 | Subtract 44 from both sides: 19x = 424-44=380. Then divide by 19: x = 380/19 = 20. | linear_equation |
5,929 | 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 |
5,930 | number_theory | medium | What is the GCD (greatest common divisor) of 12 and 17? | 1 | Find greatest number dividing both 12 and 17. Divisors common, greatest is 1. | gcd |
5,931 | geometry | easy | Find the area of a triangle with base 92 and height 48. | 2208 | Area = 0.5*base*height = 0.5*92*48 = 2208. | triangle_area |
5,932 | arithmetic | easy | What is 754 - 510? | 244 | Subtract: 754 - 510 = 244. | basic_operations |
5,933 | percentages | easy | What is 99% of 913? | 903.87 | Calculate 99/100 * 913 = 0.99*913 = 903.87. | percentages |
5,934 | geometry | easy | Find the area of a circle with radius 25. Use pi=3.14159, round to 2 decimals. | 1963.5 | Area = pi*r^2 = 3.14159*25^2 = 3.14159*625 = 1963.5. | circle_area |
5,935 | arithmetic | easy | What is 23 * 19? | 437 | Multiply: 23 * 19 = 437. | basic_operations |
5,936 | 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 |
5,937 | exponents | easy | What is 8^2? | 64 | 8^2 means multiply 8 by itself 2 times: 8*8 = 64. | exponents |
5,938 | arithmetic | easy | What is 3726 / 81? | 46 | Divide: 3726 ÷ 81 = 46 because 81*46=3726. | division |
5,939 | arithmetic | easy | What is 81 * 27? | 2187 | Multiply: 81 * 27 = 2187. | basic_operations |
5,940 | exponents | easy | What is 9^3? | 729 | 9^3 means multiply 9 by itself 3 times: 9*9*9 = 729. | exponents |
5,941 | geometry | easy | Find the perimeter of a rectangle with length 45 and width 72. | 234 | Perimeter = 2*(length+width) = 2*(45+72) = 2*117 = 234. | rectangle_perim |
5,942 | 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 |
5,943 | statistics | easy | What is the mean (average) of 69, 22, 21, 41? | 38.25 | Mean = sum/count. Sum = 69+22+21+41=153. Count=4. Mean=153/4=38.25. | mean |
5,944 | arithmetic | easy | What is 33773 divided by 97? Give answer to 2 decimal places. | 348.18 | Calculate 33773/ 97 = 348.1753, rounded to 2 decimals is 348.18. | division |
5,945 | algebra | medium | Solve for x: x^2 - 6x + 8 = 0 | x = 2, 4 | Factor: (x - 2)(x - 4) = x^2 -(6)x + 8 = 0. So x = 2 or 4. Check sum = 6, product = 8. | quadratic |
5,946 | arithmetic | easy | What is 50 * 45? | 2250 | Multiply: 50 * 45 = 2250. | basic_operations |
5,947 | 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 |
5,948 | geometry | easy | Find the area of a rectangle with length 80 and width 57. | 4560 | Area = length * width = 80*57 = 4560. | rectangle_area |
5,949 | 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 |
5,950 | word_problems | easy | If you have 70 pencils and you buy 18 more pencils, how many pencils do you have in total? | 88 | Add initial 70 plus bought 18: 70+18=88. | addition_word |
5,951 | exponents | easy | What is 9^5? | 59049 | 9^5 means multiply 9 by itself 5 times: 9*9*9*9*9 = 59049. | exponents |
5,952 | arithmetic | easy | What is 679 + 164? | 843 | Add the two numbers: 679 + 164 = 843. | basic_operations |
5,953 | number_theory | medium | What is the LCM (least common multiple) of 2 and 5? | 10 | LCM = |2*5| / GCD(2,5). GCD=1, so LCM=10/1=10. | lcm |
5,954 | arithmetic | easy | What is 10517 divided by 67? Give answer to 2 decimal places. | 156.97 | Calculate 10517/ 67 = 156.9701, rounded to 2 decimals is 156.97. | division |
5,955 | exponents | easy | What is 4^3? | 64 | 4^3 means multiply 4 by itself 3 times: 4*4*4 = 64. | exponents |
5,956 | percentages | easy | What is 41% of 885? | 362.85 | Calculate 41/100 * 885 = 0.41*885 = 362.85. | percentages |
5,957 | geometry | easy | Find the perimeter of a rectangle with length 40 and width 7. | 94 | Perimeter = 2*(length+width) = 2*(40+7) = 2*47 = 94. | rectangle_perim |
5,958 | exponents | easy | What is 8^5? | 32768 | 8^5 means multiply 8 by itself 5 times: 8*8*8*8*8 = 32768. | exponents |
5,959 | algebra | easy | Solve for x: 4x - 31 = -91 | -15 | Add 31 to both sides: 4x = -91+31=-60. Then x = -60/4 = -15. | linear_equation |
5,960 | 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 |
5,961 | 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 |
5,962 | geometry | easy | Find the area of a triangle with base 95 and height 97. | 4607.5 | Area = 0.5*base*height = 0.5*95*97 = 4607.5. | triangle_area |
5,963 | number_theory | medium | What is the LCM (least common multiple) of 21 and 46? | 966 | LCM = |21*46| / GCD(21,46). GCD=1, so LCM=966/1=966. | lcm |
5,964 | algebra | medium | Solve for x: x^2 + 8x - 20 = 0 | x = -10, 2 | Factor: (x - -10)(x - 2) = x^2 -(-8)x + -20 = 0. So x = -10 or 2. Check sum = -8, product = -20. | quadratic |
5,965 | geometry | easy | Find the area of a circle with radius 42. Use pi=3.14159, round to 2 decimals. | 5541.77 | Area = pi*r^2 = 3.14159*42^2 = 3.14159*1764 = 5541.77. | circle_area |
5,966 | arithmetic | easy | What is 91 * 79? | 7189 | Multiply: 91 * 79 = 7189. | basic_operations |
5,967 | fractions | medium | What is 18/19 + 3/18? Give as simplified fraction. | 127/114 | Common denominator 19*18=342. 18/19=324/342, 3/18=57/342. Sum = 381/342 = 127/114 simplified. | fraction_operations |
5,968 | word_problems | easy | If you have 36 candies and you buy 1 more candies, how many candies do you have in total? | 37 | Add initial 36 plus bought 1: 36+1=37. | addition_word |
5,969 | percentages | easy | What is 40% of 231? | 92.4 | Calculate 40/100 * 231 = 0.4*231 = 92.4. | percentages |
5,970 | roots | easy | What is the square root of 1936? | 44 | Find number that when squared gives 1936. 44*44=1936, so sqrt(1936)=44. | square_roots |
5,971 | exponents | easy | What is 10^3? | 1000 | 10^3 means multiply 10 by itself 3 times: 10*10*10 = 1000. | exponents |
5,972 | arithmetic | easy | What is 54 + 69 * 36? Remember order of operations. | 2538 | Order of operations (PEMDAS): first 69*36=2484, then 54+2484=2538. | basic_operations |
5,973 | 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 |
5,974 | arithmetic | easy | What is 356 + 868? | 1224 | Add the two numbers: 356 + 868 = 1224. | basic_operations |
5,975 | algebra | medium | Solve for x: x^2 + 13x + 40 = 0 | x = -8, -5 | Factor: (x - -8)(x - -5) = x^2 -(-13)x + 40 = 0. So x = -8 or -5. Check sum = -13, product = 40. | quadratic |
5,976 | number_theory | medium | What is the LCM (least common multiple) of 40 and 26? | 520 | LCM = |40*26| / GCD(40,26). GCD=2, so LCM=1040/2=520. | lcm |
5,977 | arithmetic | easy | What is 822 + 744? | 1566 | Add the two numbers: 822 + 744 = 1566. | basic_operations |
5,978 | arithmetic | easy | What is 18952 / 92? | 206 | Divide: 18952 ÷ 92 = 206 because 92*206=18952. | division |
5,979 | 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 |
5,980 | percentages | easy | What is 64% of 146? | 93.44 | Calculate 64/100 * 146 = 0.64*146 = 93.44. | percentages |
5,981 | arithmetic | easy | What is 34865 divided by 93? Give answer to 2 decimal places. | 374.89 | Calculate 34865/ 93 = 374.8925, rounded to 2 decimals is 374.89. | division |
5,982 | arithmetic | easy | What is 60 + 208? | 268 | Add the two numbers: 60 + 208 = 268. | basic_operations |
5,983 | fractions | medium | What is 4/16 * 18/20? Give as simplified fraction. | 9/40 | Multiply numerators: 4*18=72. Denominators: 16*20=320. Simplify by gcd 8 to get 9/40. | fraction_operations |
5,984 | arithmetic | easy | What is 83 + 92? | 175 | Add the two numbers: 83 + 92 = 175. | basic_operations |
5,985 | fractions | medium | What is 10/17 + 4/9? Give as simplified fraction. | 158/153 | Common denominator 17*9=153. 10/17=90/153, 4/9=68/153. Sum = 158/153 = 158/153 simplified. | fraction_operations |
5,986 | statistics | easy | What is the mean (average) of 13, 76, 60, 98, 84? | 66.2 | Mean = sum/count. Sum = 13+76+60+98+84=331. Count=5. Mean=331/5=66.2. | mean |
5,987 | 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 |
5,988 | arithmetic | easy | What is 31816 / 82? | 388 | Divide: 31816 ÷ 82 = 388 because 82*388=31816. | division |
5,989 | number_theory | medium | What is the GCD (greatest common divisor) of 88 and 92? | 4 | Find greatest number dividing both 88 and 92. Divisors common, greatest is 4. | gcd |
5,990 | geometry | easy | Find the area of a rectangle with length 75 and width 83. | 6225 | Area = length * width = 75*83 = 6225. | rectangle_area |
5,991 | exponents | easy | What is 12^5? | 248832 | 12^5 means multiply 12 by itself 5 times: 12*12*12*12*12 = 248832. | exponents |
5,992 | roots | easy | What is the square root of 576? | 24 | Find number that when squared gives 576. 24*24=576, so sqrt(576)=24. | square_roots |
5,993 | arithmetic | easy | What is 644 + 124? | 768 | Add the two numbers: 644 + 124 = 768. | basic_operations |
5,994 | 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 |
5,995 | 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 |
5,996 | algebra | medium | Solve for x: x^2 + 17x + 70 = 0 | x = -7, -10 | Factor: (x - -7)(x - -10) = x^2 -(-17)x + 70 = 0. So x = -7 or -10. Check sum = -17, product = 70. | quadratic |
5,997 | statistics | easy | What is the mean (average) of 72, 68, 87? | 75.67 | Mean = sum/count. Sum = 72+68+87=227. Count=3. Mean=227/3=75.67. | mean |
5,998 | word_problems | easy | If you have 71 apples and you buy 48 more apples, how many apples do you have in total? | 119 | Add initial 71 plus bought 48: 71+48=119. | addition_word |
5,999 | statistics | easy | What is the mean (average) of 100, 60, 77? | 79 | Mean = sum/count. Sum = 100+60+77=237. Count=3. Mean=237/3=79.0. | mean |
6,000 | arithmetic | easy | What is 733 + 233? | 966 | Add the two numbers: 733 + 233 = 966. | basic_operations |
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