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 |
|---|---|---|---|---|---|---|
730,901 | fractions | medium | What is 9/13 + 4/4? Give as simplified fraction. | 22/13 | Common denominator 13*4=52. 9/13=36/52, 4/4=52/52. Sum = 88/52 = 22/13 simplified. | fraction_operations |
730,902 | exponents | easy | What is 7^2? | 49 | 7^2 means multiply 7 by itself 2 times: 7*7 = 49. | exponents |
730,903 | percentages | easy | What is 100% of 671? | 671 | Calculate 100/100 * 671 = 1.0*671 = 671. | percentages |
730,904 | geometry | easy | Find the area of a circle with radius 18. Use pi=3.14159, round to 2 decimals. | 1017.88 | Area = pi*r^2 = 3.14159*18^2 = 3.14159*324 = 1017.88. | circle_area |
730,905 | exponents | easy | What is 6^2? | 36 | 6^2 means multiply 6 by itself 2 times: 6*6 = 36. | exponents |
730,906 | statistics | easy | What is the mean (average) of 51, 85, 44, 55, 13? | 49.6 | Mean = sum/count. Sum = 51+85+44+55+13=248. Count=5. Mean=248/5=49.6. | mean |
730,907 | arithmetic | easy | What is 9480 / 60? | 158 | Divide: 9480 ÷ 60 = 158 because 60*158=9480. | division |
730,908 | fractions | medium | What is 20/13 + 14/3? Give as simplified fraction. | 242/39 | Common denominator 13*3=39. 20/13=60/39, 14/3=182/39. Sum = 242/39 = 242/39 simplified. | fraction_operations |
730,909 | arithmetic | easy | What is 122 + 862? | 984 | Add the two numbers: 122 + 862 = 984. | basic_operations |
730,910 | 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 |
730,911 | arithmetic | easy | What is 336 + 780 * 57? Remember order of operations. | 44796 | Order of operations (PEMDAS): first 780*57=44460, then 336+44460=44796. | basic_operations |
730,912 | percentages | easy | What is 13% of 418? | 54.34 | Calculate 13/100 * 418 = 0.13*418 = 54.34. | percentages |
730,913 | statistics | easy | What is the mean (average) of 21, 70, 68, 78? | 59.25 | Mean = sum/count. Sum = 21+70+68+78=237. Count=4. Mean=237/4=59.25. | mean |
730,914 | statistics | easy | What is the mean (average) of 37, 34, 57, 88, 86? | 60.4 | Mean = sum/count. Sum = 37+34+57+88+86=302. Count=5. Mean=302/5=60.4. | mean |
730,915 | arithmetic | easy | What is 687 + 430 * 94? Remember order of operations. | 41107 | Order of operations (PEMDAS): first 430*94=40420, then 687+40420=41107. | basic_operations |
730,916 | fractions | medium | What is 12/9 - 14/8? Give as simplified fraction. | -5/12 | Common denominator 72. Numerator 96-126=-30. So -30/72 simplifies to -5/12. | fraction_operations |
730,917 | arithmetic | easy | What is 530 - 155? | 375 | Subtract: 530 - 155 = 375. | basic_operations |
730,918 | arithmetic | easy | What is 69 * 32? | 2208 | Multiply: 69 * 32 = 2208. | basic_operations |
730,919 | arithmetic | easy | What is 68 * 85? | 5780 | Multiply: 68 * 85 = 5780. | basic_operations |
730,920 | exponents | easy | What is 2^2? | 4 | 2^2 means multiply 2 by itself 2 times: 2*2 = 4. | exponents |
730,921 | word_problems | easy | If you have 74 dollars and you buy 38 more dollars, how many dollars do you have in total? | 112 | Add initial 74 plus bought 38: 74+38=112. | addition_word |
730,922 | exponents | easy | What is 4^4? | 256 | 4^4 means multiply 4 by itself 4 times: 4*4*4*4 = 256. | exponents |
730,923 | 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 |
730,924 | geometry | easy | Find the area of a rectangle with length 91 and width 91. | 8281 | Area = length * width = 91*91 = 8281. | rectangle_area |
730,925 | arithmetic | easy | What is 287 + 843 * 28? Remember order of operations. | 23891 | Order of operations (PEMDAS): first 843*28=23604, then 287+23604=23891. | basic_operations |
730,926 | percentages | easy | What is 45% of 735? | 330.75 | Calculate 45/100 * 735 = 0.45*735 = 330.75. | percentages |
730,927 | number_theory | medium | What is the LCM (least common multiple) of 44 and 35? | 1540 | LCM = |44*35| / GCD(44,35). GCD=1, so LCM=1540/1=1540. | lcm |
730,928 | algebra | medium | Solve for x: x^2 + 3x - 70 = 0 | x = -10, 7 | Factor: (x - -10)(x - 7) = x^2 -(-3)x + -70 = 0. So x = -10 or 7. Check sum = -3, product = -70. | quadratic |
730,929 | fractions | medium | What is 6/12 + 14/4? Give as simplified fraction. | 4 | Common denominator 12*4=48. 6/12=24/48, 14/4=168/48. Sum = 192/48 = 4 simplified. | fraction_operations |
730,930 | calculus | medium | What is the derivative of 1x^8 with respect to x? | 8x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^8] = 1*8*x^7 = 8x^7. | derivative |
730,931 | statistics | easy | What is the mean (average) of 66, 9, 34, 64? | 43.25 | Mean = sum/count. Sum = 66+9+34+64=173. Count=4. Mean=173/4=43.25. | mean |
730,932 | percentages | easy | What is 90% of 888? | 799.2 | Calculate 90/100 * 888 = 0.9*888 = 799.2. | percentages |
730,933 | word_problems | easy | If you have 18 candies and you buy 15 more candies, how many candies do you have in total? | 33 | Add initial 18 plus bought 15: 18+15=33. | addition_word |
730,934 | percentages | easy | What is 73% of 577? | 421.21 | Calculate 73/100 * 577 = 0.73*577 = 421.21. | percentages |
730,935 | number_theory | medium | What is the LCM (least common multiple) of 75 and 66? | 1650 | LCM = |75*66| / GCD(75,66). GCD=3, so LCM=4950/3=1650. | lcm |
730,936 | fractions | medium | What is 5/19 * 1/11? Give as simplified fraction. | 5/209 | Multiply numerators: 5*1=5. Denominators: 19*11=209. Simplify by gcd 1 to get 5/209. | fraction_operations |
730,937 | arithmetic | easy | What is 913 + 808 * 14? Remember order of operations. | 12225 | Order of operations (PEMDAS): first 808*14=11312, then 913+11312=12225. | basic_operations |
730,938 | arithmetic | easy | What is 22407 / 97? | 231 | Divide: 22407 ÷ 97 = 231 because 97*231=22407. | division |
730,939 | 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 |
730,940 | algebra | medium | Solve for x: x^2 - 4x + 3 = 0 | x = 1, 3 | Factor: (x - 1)(x - 3) = x^2 -(4)x + 3 = 0. So x = 1 or 3. Check sum = 4, product = 3. | quadratic |
730,941 | arithmetic | easy | What is 24274 divided by 51? Give answer to 2 decimal places. | 475.96 | Calculate 24274/ 51 = 475.9608, rounded to 2 decimals is 475.96. | division |
730,942 | algebra | medium | Solve for x: x^2 + 9x + 8 = 0 | x = -8, -1 | Factor: (x - -8)(x - -1) = x^2 -(-9)x + 8 = 0. So x = -8 or -1. Check sum = -9, product = 8. | quadratic |
730,943 | algebra | medium | Solve for x: x^2 + 1x - 6 = 0 | x = -3, 2 | Factor: (x - -3)(x - 2) = x^2 -(-1)x + -6 = 0. So x = -3 or 2. Check sum = -1, product = -6. | quadratic |
730,944 | fractions | medium | What is 2/8 * 3/16? Give as simplified fraction. | 3/64 | Multiply numerators: 2*3=6. Denominators: 8*16=128. Simplify by gcd 2 to get 3/64. | fraction_operations |
730,945 | statistics | easy | What is the mean (average) of 25, 32, 45? | 34 | Mean = sum/count. Sum = 25+32+45=102. Count=3. Mean=102/3=34.0. | mean |
730,946 | geometry | easy | Find the area of a circle with radius 37. Use pi=3.14159, round to 2 decimals. | 4300.84 | Area = pi*r^2 = 3.14159*37^2 = 3.14159*1369 = 4300.84. | circle_area |
730,947 | arithmetic | easy | What is 296 + 461? | 757 | Add the two numbers: 296 + 461 = 757. | basic_operations |
730,948 | arithmetic | easy | What is 16036 / 38? | 422 | Divide: 16036 ÷ 38 = 422 because 38*422=16036. | division |
730,949 | 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 |
730,950 | word_problems | easy | If you have 100 books and you buy 29 more books, how many books do you have in total? | 129 | Add initial 100 plus bought 29: 100+29=129. | addition_word |
730,951 | 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 |
730,952 | statistics | easy | What is the mean (average) of 40, 69, 3, 24? | 34 | Mean = sum/count. Sum = 40+69+3+24=136. Count=4. Mean=136/4=34.0. | mean |
730,953 | geometry | easy | Find the area of a rectangle with length 92 and width 90. | 8280 | Area = length * width = 92*90 = 8280. | rectangle_area |
730,954 | statistics | easy | What is the mean (average) of 34, 83, 45, 92, 78? | 66.4 | Mean = sum/count. Sum = 34+83+45+92+78=332. Count=5. Mean=332/5=66.4. | mean |
730,955 | fractions | medium | What is 10/15 + 9/3? Give as simplified fraction. | 11/3 | Common denominator 15*3=45. 10/15=30/45, 9/3=135/45. Sum = 165/45 = 11/3 simplified. | fraction_operations |
730,956 | fractions | medium | What is 7/8 * 4/14? Give as simplified fraction. | 1/4 | Multiply numerators: 7*4=28. Denominators: 8*14=112. Simplify by gcd 28 to get 1/4. | fraction_operations |
730,957 | arithmetic | easy | What is 838 + 256 * 8? Remember order of operations. | 2886 | Order of operations (PEMDAS): first 256*8=2048, then 838+2048=2886. | basic_operations |
730,958 | roots | easy | What is the square root of 196? | 14 | Find number that when squared gives 196. 14*14=196, so sqrt(196)=14. | square_roots |
730,959 | word_problems | easy | If you have 27 dollars and you buy 48 more dollars, how many dollars do you have in total? | 75 | Add initial 27 plus bought 48: 27+48=75. | addition_word |
730,960 | arithmetic | easy | What is 36 * 98? | 3528 | Multiply: 36 * 98 = 3528. | basic_operations |
730,961 | percentages | easy | What is 87% of 508? | 441.96 | Calculate 87/100 * 508 = 0.87*508 = 441.96. | percentages |
730,962 | exponents | easy | What is 2^2? | 4 | 2^2 means multiply 2 by itself 2 times: 2*2 = 4. | exponents |
730,963 | exponents | easy | What is 6^4? | 1296 | 6^4 means multiply 6 by itself 4 times: 6*6*6*6 = 1296. | exponents |
730,964 | arithmetic | easy | What is 25661 / 67? | 383 | Divide: 25661 ÷ 67 = 383 because 67*383=25661. | division |
730,965 | geometry | easy | Find the area of a circle with radius 39. Use pi=3.14159, round to 2 decimals. | 4778.36 | Area = pi*r^2 = 3.14159*39^2 = 3.14159*1521 = 4778.36. | circle_area |
730,966 | algebra | medium | Solve for x: x^2 + 10x + 24 = 0 | x = -6, -4 | Factor: (x - -6)(x - -4) = x^2 -(-10)x + 24 = 0. So x = -6 or -4. Check sum = -10, product = 24. | quadratic |
730,967 | fractions | medium | What is 18/8 - 7/12? Give as simplified fraction. | 5/3 | Common denominator 96. Numerator 216-56=160. So 160/96 simplifies to 5/3. | fraction_operations |
730,968 | statistics | easy | What is the mean (average) of 74, 60, 24, 35, 96? | 57.8 | Mean = sum/count. Sum = 74+60+24+35+96=289. Count=5. Mean=289/5=57.8. | mean |
730,969 | word_problems | easy | If you have 59 candies and you buy 10 more candies, how many candies do you have in total? | 69 | Add initial 59 plus bought 10: 59+10=69. | addition_word |
730,970 | algebra | easy | Solve for x: 3x + 37 = 55 | 6 | Subtract 37 from both sides: 3x = 55-37=18. Then divide by 3: x = 18/3 = 6. | linear_equation |
730,971 | arithmetic | easy | What is 15 + 244? | 259 | Add the two numbers: 15 + 244 = 259. | basic_operations |
730,972 | arithmetic | easy | What is 838 - 237? | 601 | Subtract: 838 - 237 = 601. | basic_operations |
730,973 | 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 |
730,974 | exponents | easy | What is 12^5? | 248832 | 12^5 means multiply 12 by itself 5 times: 12*12*12*12*12 = 248832. | exponents |
730,975 | arithmetic | easy | What is 761 + 591 * 19? Remember order of operations. | 11990 | Order of operations (PEMDAS): first 591*19=11229, then 761+11229=11990. | basic_operations |
730,976 | exponents | easy | What is 5^3? | 125 | 5^3 means multiply 5 by itself 3 times: 5*5*5 = 125. | exponents |
730,977 | algebra | medium | Solve for x: x^2 - 6x - 16 = 0 | x = -2, 8 | Factor: (x - -2)(x - 8) = x^2 -(6)x + -16 = 0. So x = -2 or 8. Check sum = 6, product = -16. | quadratic |
730,978 | 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 |
730,979 | exponents | easy | What is 2^5? | 32 | 2^5 means multiply 2 by itself 5 times: 2*2*2*2*2 = 32. | exponents |
730,980 | exponents | easy | What is 11^3? | 1331 | 11^3 means multiply 11 by itself 3 times: 11*11*11 = 1331. | exponents |
730,981 | number_theory | medium | What is the GCD (greatest common divisor) of 70 and 79? | 1 | Find greatest number dividing both 70 and 79. Divisors common, greatest is 1. | gcd |
730,982 | algebra | medium | Solve for x: x^2 + 8x = 0 | x = 0, -8 | Factor: (x - 0)(x - -8) = x^2 -(-8)x + 0 = 0. So x = 0 or -8. Check sum = -8, product = 0. | quadratic |
730,983 | statistics | easy | What is the mean (average) of 53, 3, 8, 82? | 36.5 | Mean = sum/count. Sum = 53+3+8+82=146. Count=4. Mean=146/4=36.5. | mean |
730,984 | 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 |
730,985 | 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 |
730,986 | number_theory | medium | What is the LCM (least common multiple) of 70 and 31? | 2170 | LCM = |70*31| / GCD(70,31). GCD=1, so LCM=2170/1=2170. | lcm |
730,987 | fractions | medium | What is 15/16 * 4/18? Give as simplified fraction. | 5/24 | Multiply numerators: 15*4=60. Denominators: 16*18=288. Simplify by gcd 12 to get 5/24. | fraction_operations |
730,988 | fractions | medium | What is 12/6 * 9/16? Give as simplified fraction. | 9/8 | Multiply numerators: 12*9=108. Denominators: 6*16=96. Simplify by gcd 12 to get 9/8. | fraction_operations |
730,989 | 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 |
730,990 | exponents | easy | What is 10^5? | 100000 | 10^5 means multiply 10 by itself 5 times: 10*10*10*10*10 = 100000. | exponents |
730,991 | fractions | medium | What is 11/9 - 19/19? Give as simplified fraction. | 2/9 | Common denominator 171. Numerator 209-171=38. So 38/171 simplifies to 2/9. | fraction_operations |
730,992 | algebra | medium | Solve for x: x^2 + 1x - 6 = 0 | x = 2, -3 | Factor: (x - 2)(x - -3) = x^2 -(-1)x + -6 = 0. So x = 2 or -3. Check sum = -1, product = -6. | quadratic |
730,993 | arithmetic | easy | What is 599 - 372? | 227 | Subtract: 599 - 372 = 227. | basic_operations |
730,994 | arithmetic | easy | What is 65 + 77 * 80? Remember order of operations. | 6225 | Order of operations (PEMDAS): first 77*80=6160, then 65+6160=6225. | basic_operations |
730,995 | 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 |
730,996 | number_theory | medium | What is the LCM (least common multiple) of 42 and 1? | 42 | LCM = |42*1| / GCD(42,1). GCD=1, so LCM=42/1=42. | lcm |
730,997 | fractions | medium | What is 2/13 - 7/15? Give as simplified fraction. | -61/195 | Common denominator 195. Numerator 30-91=-61. So -61/195 simplifies to -61/195. | fraction_operations |
730,998 | roots | easy | What is the square root of 64? | 8 | Find number that when squared gives 64. 8*8=64, so sqrt(64)=8. | square_roots |
730,999 | 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 |
731,000 | calculus | medium | What is the derivative of 2x^2 with respect to x? | 4x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^2] = 2*2*x^1 = 4x. | derivative |
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