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 |
|---|---|---|---|---|---|---|
3,901 | statistics | easy | What is the mean (average) of 98, 63, 41, 70? | 68 | Mean = sum/count. Sum = 98+63+41+70=272. Count=4. Mean=272/4=68.0. | mean |
3,902 | fractions | medium | What is 8/20 * 6/3? Give as simplified fraction. | 4/5 | Multiply numerators: 8*6=48. Denominators: 20*3=60. Simplify by gcd 12 to get 4/5. | fraction_operations |
3,903 | number_theory | medium | What is the LCM (least common multiple) of 53 and 60? | 3180 | LCM = |53*60| / GCD(53,60). GCD=1, so LCM=3180/1=3180. | lcm |
3,904 | 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 |
3,905 | word_problems | easy | If you have 64 books and you buy 29 more books, how many books do you have in total? | 93 | Add initial 64 plus bought 29: 64+29=93. | addition_word |
3,906 | algebra | easy | Solve for x: 13x + 3 = -244 | -19 | Subtract 3 from both sides: 13x = -244-3=-247. Then divide by 13: x = -247/13 = -19. | linear_equation |
3,907 | algebra | easy | Solve for x: 11x - 2 = 218 | 20 | Add 2 to both sides: 11x = 218+2=220. Then x = 220/11 = 20. | linear_equation |
3,908 | algebra | easy | Solve for x: 13x - 4 = -264 | -20 | Add 4 to both sides: 13x = -264+4=-260. Then x = -260/13 = -20. | linear_equation |
3,909 | 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 |
3,910 | algebra | medium | Solve for x: x^2 - 2x - 48 = 0 | x = -6, 8 | Factor: (x - -6)(x - 8) = x^2 -(2)x + -48 = 0. So x = -6 or 8. Check sum = 2, product = -48. | quadratic |
3,911 | algebra | medium | Solve for x: x^2 + 11x + 28 = 0 | x = -4, -7 | Factor: (x - -4)(x - -7) = x^2 -(-11)x + 28 = 0. So x = -4 or -7. Check sum = -11, product = 28. | quadratic |
3,912 | arithmetic | easy | What is 484 - 401? | 83 | Subtract: 484 - 401 = 83. | basic_operations |
3,913 | arithmetic | easy | What is 510 - 402? | 108 | Subtract: 510 - 402 = 108. | basic_operations |
3,914 | geometry | easy | Find the perimeter of a rectangle with length 25 and width 63. | 176 | Perimeter = 2*(length+width) = 2*(25+63) = 2*88 = 176. | rectangle_perim |
3,915 | statistics | easy | What is the mean (average) of 56, 21, 63, 86? | 56.5 | Mean = sum/count. Sum = 56+21+63+86=226. Count=4. Mean=226/4=56.5. | mean |
3,916 | arithmetic | easy | What is 362 + 985? | 1347 | Add the two numbers: 362 + 985 = 1347. | basic_operations |
3,917 | statistics | easy | What is the mean (average) of 38, 19, 31, 67, 64? | 43.8 | Mean = sum/count. Sum = 38+19+31+67+64=219. Count=5. Mean=219/5=43.8. | mean |
3,918 | fractions | medium | What is 14/17 * 1/11? Give as simplified fraction. | 14/187 | Multiply numerators: 14*1=14. Denominators: 17*11=187. Simplify by gcd 1 to get 14/187. | fraction_operations |
3,919 | algebra | medium | Solve for x: x^2 - 10x = 0 | x = 0, 10 | Factor: (x - 0)(x - 10) = x^2 -(10)x + 0 = 0. So x = 0 or 10. Check sum = 10, product = 0. | quadratic |
3,920 | exponents | easy | What is 12^5? | 248832 | 12^5 means multiply 12 by itself 5 times: 12*12*12*12*12 = 248832. | exponents |
3,921 | arithmetic | easy | What is 5226 / 78? | 67 | Divide: 5226 ÷ 78 = 67 because 78*67=5226. | division |
3,922 | 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 |
3,923 | number_theory | medium | What is the LCM (least common multiple) of 89 and 17? | 1513 | LCM = |89*17| / GCD(89,17). GCD=1, so LCM=1513/1=1513. | lcm |
3,924 | statistics | easy | What is the mean (average) of 3, 58, 48? | 36.33 | Mean = sum/count. Sum = 3+58+48=109. Count=3. Mean=109/3=36.33. | mean |
3,925 | 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 |
3,926 | fractions | medium | What is 11/9 - 11/17? Give as simplified fraction. | 88/153 | Common denominator 153. Numerator 187-99=88. So 88/153 simplifies to 88/153. | fraction_operations |
3,927 | 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 |
3,928 | 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 |
3,929 | fractions | medium | What is 5/12 * 19/9? Give as simplified fraction. | 95/108 | Multiply numerators: 5*19=95. Denominators: 12*9=108. Simplify by gcd 1 to get 95/108. | fraction_operations |
3,930 | percentages | easy | What is 32% of 501? | 160.32 | Calculate 32/100 * 501 = 0.32*501 = 160.32. | percentages |
3,931 | statistics | easy | What is the mean (average) of 41, 66, 13? | 40 | Mean = sum/count. Sum = 41+66+13=120. Count=3. Mean=120/3=40.0. | mean |
3,932 | calculus | medium | What is the derivative of 3x^8 with respect to x? | 24x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^8] = 3*8*x^7 = 24x^7. | derivative |
3,933 | roots | easy | What is the square root of 36? | 6 | Find number that when squared gives 36. 6*6=36, so sqrt(36)=6. | square_roots |
3,934 | statistics | easy | What is the mean (average) of 78, 94, 35, 9? | 54 | Mean = sum/count. Sum = 78+94+35+9=216. Count=4. Mean=216/4=54.0. | mean |
3,935 | word_problems | easy | If you have 54 books and you buy 50 more books, how many books do you have in total? | 104 | Add initial 54 plus bought 50: 54+50=104. | addition_word |
3,936 | geometry | easy | Find the perimeter of a rectangle with length 47 and width 100. | 294 | Perimeter = 2*(length+width) = 2*(47+100) = 2*147 = 294. | rectangle_perim |
3,937 | arithmetic | easy | What is 1 * 42? | 42 | Multiply: 1 * 42 = 42. | basic_operations |
3,938 | statistics | easy | What is the mean (average) of 19, 35, 41, 63, 41? | 39.8 | Mean = sum/count. Sum = 19+35+41+63+41=199. Count=5. Mean=199/5=39.8. | mean |
3,939 | fractions | medium | What is 7/5 * 10/3? Give as simplified fraction. | 14/3 | Multiply numerators: 7*10=70. Denominators: 5*3=15. Simplify by gcd 5 to get 14/3. | fraction_operations |
3,940 | fractions | medium | What is 17/18 - 10/9? Give as simplified fraction. | -1/6 | Common denominator 162. Numerator 153-180=-27. So -27/162 simplifies to -1/6. | fraction_operations |
3,941 | 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 |
3,942 | arithmetic | easy | What is 306 + 268 * 27? Remember order of operations. | 7542 | Order of operations (PEMDAS): first 268*27=7236, then 306+7236=7542. | basic_operations |
3,943 | arithmetic | easy | What is 668 + 660 * 98? Remember order of operations. | 65348 | Order of operations (PEMDAS): first 660*98=64680, then 668+64680=65348. | basic_operations |
3,944 | word_problems | easy | If you have 23 candies and you buy 29 more candies, how many candies do you have in total? | 52 | Add initial 23 plus bought 29: 23+29=52. | addition_word |
3,945 | algebra | medium | Solve for x: x^2 - 13x + 36 = 0 | x = 9, 4 | Factor: (x - 9)(x - 4) = x^2 -(13)x + 36 = 0. So x = 9 or 4. Check sum = 13, product = 36. | quadratic |
3,946 | 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 |
3,947 | geometry | easy | Find the circumference of a circle with radius 18. Use pi=3.14159, round to 2 decimals. | 113.1 | Circumference = 2*pi*r = 2*3.14159*18 = 113.1. | circle_circum |
3,948 | fractions | medium | What is 20/16 * 10/7? Give as simplified fraction. | 25/14 | Multiply numerators: 20*10=200. Denominators: 16*7=112. Simplify by gcd 8 to get 25/14. | fraction_operations |
3,949 | algebra | easy | Solve for x: 11x - 48 = -191 | -13 | Add 48 to both sides: 11x = -191+48=-143. Then x = -143/11 = -13. | linear_equation |
3,950 | arithmetic | easy | What is 889 - 335? | 554 | Subtract: 889 - 335 = 554. | basic_operations |
3,951 | 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 |
3,952 | calculus | medium | What is the derivative of 1x^6 with respect to x? | 6x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^6] = 1*6*x^5 = 6x^5. | derivative |
3,953 | 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 |
3,954 | 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 |
3,955 | algebra | medium | Solve for x: x^2 - 9x = 0 | x = 0, 9 | Factor: (x - 0)(x - 9) = x^2 -(9)x + 0 = 0. So x = 0 or 9. Check sum = 9, product = 0. | quadratic |
3,956 | arithmetic | easy | What is 97 + 73 * 42? Remember order of operations. | 3163 | Order of operations (PEMDAS): first 73*42=3066, then 97+3066=3163. | basic_operations |
3,957 | arithmetic | easy | What is 741 + 735? | 1476 | Add the two numbers: 741 + 735 = 1476. | basic_operations |
3,958 | arithmetic | easy | What is 21 + 92 * 14? Remember order of operations. | 1309 | Order of operations (PEMDAS): first 92*14=1288, then 21+1288=1309. | basic_operations |
3,959 | number_theory | medium | What is the GCD (greatest common divisor) of 46 and 44? | 2 | Find greatest number dividing both 46 and 44. Divisors common, greatest is 2. | gcd |
3,960 | 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 |
3,961 | arithmetic | easy | What is 505 + 411? | 916 | Add the two numbers: 505 + 411 = 916. | basic_operations |
3,962 | 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 |
3,963 | arithmetic | easy | What is 834 + 213 * 58? Remember order of operations. | 13188 | Order of operations (PEMDAS): first 213*58=12354, then 834+12354=13188. | basic_operations |
3,964 | geometry | easy | Find the perimeter of a rectangle with length 31 and width 8. | 78 | Perimeter = 2*(length+width) = 2*(31+8) = 2*39 = 78. | rectangle_perim |
3,965 | arithmetic | easy | What is 54 + 659? | 713 | Add the two numbers: 54 + 659 = 713. | basic_operations |
3,966 | arithmetic | easy | What is 225 + 777? | 1002 | Add the two numbers: 225 + 777 = 1002. | basic_operations |
3,967 | algebra | easy | Solve for x: 17x - 10 = -10 | 0 | Add 10 to both sides: 17x = -10+10=0. Then x = 0/17 = 0. | linear_equation |
3,968 | calculus | medium | What is the derivative of 7x^8 with respect to x? | 56x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^8] = 7*8*x^7 = 56x^7. | derivative |
3,969 | arithmetic | easy | What is 784 + 523 * 38? Remember order of operations. | 20658 | Order of operations (PEMDAS): first 523*38=19874, then 784+19874=20658. | basic_operations |
3,970 | 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 |
3,971 | arithmetic | easy | What is 42 + 205 * 76? Remember order of operations. | 15622 | Order of operations (PEMDAS): first 205*76=15580, then 42+15580=15622. | basic_operations |
3,972 | statistics | easy | What is the mean (average) of 45, 90, 11? | 48.67 | Mean = sum/count. Sum = 45+90+11=146. Count=3. Mean=146/3=48.67. | mean |
3,973 | number_theory | medium | What is the LCM (least common multiple) of 66 and 22? | 66 | LCM = |66*22| / GCD(66,22). GCD=22, so LCM=1452/22=66. | lcm |
3,974 | fractions | medium | What is 5/19 - 1/11? Give as simplified fraction. | 36/209 | Common denominator 209. Numerator 55-19=36. So 36/209 simplifies to 36/209. | fraction_operations |
3,975 | number_theory | medium | What is the GCD (greatest common divisor) of 66 and 50? | 2 | Find greatest number dividing both 66 and 50. Divisors common, greatest is 2. | gcd |
3,976 | fractions | medium | What is 20/10 - 11/8? Give as simplified fraction. | 5/8 | Common denominator 80. Numerator 160-110=50. So 50/80 simplifies to 5/8. | fraction_operations |
3,977 | geometry | easy | Find the circumference of a circle with radius 8. Use pi=3.14159, round to 2 decimals. | 50.27 | Circumference = 2*pi*r = 2*3.14159*8 = 50.27. | circle_circum |
3,978 | exponents | easy | What is 9^2? | 81 | 9^2 means multiply 9 by itself 2 times: 9*9 = 81. | exponents |
3,979 | word_problems | easy | If you have 82 pencils and you buy 42 more pencils, how many pencils do you have in total? | 124 | Add initial 82 plus bought 42: 82+42=124. | addition_word |
3,980 | 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 |
3,981 | arithmetic | easy | What is 1393 / 7? | 199 | Divide: 1393 ÷ 7 = 199 because 7*199=1393. | division |
3,982 | fractions | medium | What is 19/11 - 7/20? Give as simplified fraction. | 303/220 | Common denominator 220. Numerator 380-77=303. So 303/220 simplifies to 303/220. | fraction_operations |
3,983 | number_theory | medium | What is the GCD (greatest common divisor) of 60 and 7? | 1 | Find greatest number dividing both 60 and 7. Divisors common, greatest is 1. | gcd |
3,984 | geometry | easy | Find the perimeter of a rectangle with length 66 and width 4. | 140 | Perimeter = 2*(length+width) = 2*(66+4) = 2*70 = 140. | rectangle_perim |
3,985 | exponents | easy | What is 2^3? | 8 | 2^3 means multiply 2 by itself 3 times: 2*2*2 = 8. | exponents |
3,986 | algebra | medium | Solve for x: x^2 + 4x = 0 | x = 0, -4 | Factor: (x - 0)(x - -4) = x^2 -(-4)x + 0 = 0. So x = 0 or -4. Check sum = -4, product = 0. | quadratic |
3,987 | statistics | easy | What is the mean (average) of 50, 93, 42, 59, 51? | 59 | Mean = sum/count. Sum = 50+93+42+59+51=295. Count=5. Mean=295/5=59.0. | mean |
3,988 | algebra | medium | Solve for x: x^2 - 10x + 25 = 0 | x = 5 | Factor as (x - 5)^2 = 0, so root is 5 (double root). Sum of roots = 10, product = 25. | quadratic |
3,989 | exponents | easy | What is 12^3? | 1728 | 12^3 means multiply 12 by itself 3 times: 12*12*12 = 1728. | exponents |
3,990 | arithmetic | easy | What is 632 + 110? | 742 | Add the two numbers: 632 + 110 = 742. | basic_operations |
3,991 | arithmetic | easy | What is 970 - 281? | 689 | Subtract: 970 - 281 = 689. | basic_operations |
3,992 | algebra | medium | Solve for x: x^2 + 16x + 63 = 0 | x = -7, -9 | Factor: (x - -7)(x - -9) = x^2 -(-16)x + 63 = 0. So x = -7 or -9. Check sum = -16, product = 63. | quadratic |
3,993 | number_theory | medium | What is the GCD (greatest common divisor) of 28 and 83? | 1 | Find greatest number dividing both 28 and 83. Divisors common, greatest is 1. | gcd |
3,994 | 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 |
3,995 | number_theory | medium | What is the LCM (least common multiple) of 10 and 36? | 180 | LCM = |10*36| / GCD(10,36). GCD=2, so LCM=360/2=180. | lcm |
3,996 | arithmetic | easy | What is 305 + 789? | 1094 | Add the two numbers: 305 + 789 = 1094. | basic_operations |
3,997 | geometry | easy | Find the circumference of a circle with radius 14. Use pi=3.14159, round to 2 decimals. | 87.96 | Circumference = 2*pi*r = 2*3.14159*14 = 87.96. | circle_circum |
3,998 | arithmetic | easy | What is 31710 divided by 83? Give answer to 2 decimal places. | 382.05 | Calculate 31710/ 83 = 382.0482, rounded to 2 decimals is 382.05. | division |
3,999 | 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 |
4,000 | arithmetic | easy | What is 89 + 72 * 59? Remember order of operations. | 4337 | Order of operations (PEMDAS): first 72*59=4248, then 89+4248=4337. | basic_operations |
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