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 |
|---|---|---|---|---|---|---|
3,001 | algebra | easy | Solve for x: 10x + 30 = 20 | -1 | Subtract 30 from both sides: 10x = 20-30=-10. Then divide by 10: x = -10/10 = -1. | linear_equation |
3,002 | arithmetic | easy | What is 26 + 15 * 80? Remember order of operations. | 1226 | Order of operations (PEMDAS): first 15*80=1200, then 26+1200=1226. | basic_operations |
3,003 | algebra | easy | Solve for x: 20x - 35 = 225 | 13 | Add 35 to both sides: 20x = 225+35=260. Then x = 260/20 = 13. | linear_equation |
3,004 | arithmetic | easy | What is 3472 divided by 33? Give answer to 2 decimal places. | 105.21 | Calculate 3472/ 33 = 105.2121, rounded to 2 decimals is 105.21. | division |
3,005 | arithmetic | easy | What is 853 + 518 * 57? Remember order of operations. | 30379 | Order of operations (PEMDAS): first 518*57=29526, then 853+29526=30379. | basic_operations |
3,006 | arithmetic | easy | What is 8320 / 40? | 208 | Divide: 8320 ÷ 40 = 208 because 40*208=8320. | division |
3,007 | percentages | easy | What is 70% of 267? | 186.9 | Calculate 70/100 * 267 = 0.7*267 = 186.9. | percentages |
3,008 | word_problems | easy | If you have 89 apples and you buy 40 more apples, how many apples do you have in total? | 129 | Add initial 89 plus bought 40: 89+40=129. | addition_word |
3,009 | 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 |
3,010 | arithmetic | easy | What is 31 * 22? | 682 | Multiply: 31 * 22 = 682. | basic_operations |
3,011 | fractions | medium | What is 16/17 * 10/11? Give as simplified fraction. | 160/187 | Multiply numerators: 16*10=160. Denominators: 17*11=187. Simplify by gcd 1 to get 160/187. | fraction_operations |
3,012 | arithmetic | easy | What is 19481 / 77? | 253 | Divide: 19481 ÷ 77 = 253 because 77*253=19481. | division |
3,013 | calculus | medium | What is the derivative of 2x^5 with respect to x? | 10x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^5] = 2*5*x^4 = 10x^4. | derivative |
3,014 | word_problems | easy | If you have 58 books and you buy 28 more books, how many books do you have in total? | 86 | Add initial 58 plus bought 28: 58+28=86. | addition_word |
3,015 | arithmetic | easy | What is 50 * 2? | 100 | Multiply: 50 * 2 = 100. | basic_operations |
3,016 | arithmetic | easy | What is 57 * 6? | 342 | Multiply: 57 * 6 = 342. | basic_operations |
3,017 | number_theory | medium | What is the LCM (least common multiple) of 18 and 60? | 180 | LCM = |18*60| / GCD(18,60). GCD=6, so LCM=1080/6=180. | lcm |
3,018 | geometry | easy | Find the area of a rectangle with length 21 and width 46. | 966 | Area = length * width = 21*46 = 966. | rectangle_area |
3,019 | fractions | medium | What is 12/18 + 13/18? Give as simplified fraction. | 25/18 | Common denominator 18*18=324. 12/18=216/324, 13/18=234/324. Sum = 450/324 = 25/18 simplified. | fraction_operations |
3,020 | algebra | medium | Solve for x: x^2 - 4x - 60 = 0 | x = 10, -6 | Factor: (x - 10)(x - -6) = x^2 -(4)x + -60 = 0. So x = 10 or -6. Check sum = 4, product = -60. | quadratic |
3,021 | number_theory | medium | What is the LCM (least common multiple) of 84 and 93? | 2604 | LCM = |84*93| / GCD(84,93). GCD=3, so LCM=7812/3=2604. | lcm |
3,022 | word_problems | easy | If you have 96 dollars and you buy 9 more dollars, how many dollars do you have in total? | 105 | Add initial 96 plus bought 9: 96+9=105. | addition_word |
3,023 | exponents | easy | What is 8^2? | 64 | 8^2 means multiply 8 by itself 2 times: 8*8 = 64. | exponents |
3,024 | statistics | easy | What is the mean (average) of 61, 78, 85, 24? | 62 | Mean = sum/count. Sum = 61+78+85+24=248. Count=4. Mean=248/4=62.0. | mean |
3,025 | geometry | easy | Find the perimeter of a rectangle with length 90 and width 42. | 264 | Perimeter = 2*(length+width) = 2*(90+42) = 2*132 = 264. | rectangle_perim |
3,026 | number_theory | medium | What is the LCM (least common multiple) of 75 and 80? | 1200 | LCM = |75*80| / GCD(75,80). GCD=5, so LCM=6000/5=1200. | lcm |
3,027 | arithmetic | easy | What is 47 + 31 * 94? Remember order of operations. | 2961 | Order of operations (PEMDAS): first 31*94=2914, then 47+2914=2961. | basic_operations |
3,028 | arithmetic | easy | What is 31135 / 65? | 479 | Divide: 31135 ÷ 65 = 479 because 65*479=31135. | division |
3,029 | percentages | easy | What is 99% of 828? | 819.72 | Calculate 99/100 * 828 = 0.99*828 = 819.72. | percentages |
3,030 | percentages | easy | What is 14% of 922? | 129.08 | Calculate 14/100 * 922 = 0.14*922 = 129.08. | percentages |
3,031 | algebra | medium | Solve for x: x^2 - 5x + 6 = 0 | x = 2, 3 | Factor: (x - 2)(x - 3) = x^2 -(5)x + 6 = 0. So x = 2 or 3. Check sum = 5, product = 6. | quadratic |
3,032 | arithmetic | easy | What is 64 + 627 * 33? Remember order of operations. | 20755 | Order of operations (PEMDAS): first 627*33=20691, then 64+20691=20755. | basic_operations |
3,033 | arithmetic | easy | What is 81 * 4? | 324 | Multiply: 81 * 4 = 324. | basic_operations |
3,034 | 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 |
3,035 | word_problems | easy | If you have 53 pencils and you buy 9 more pencils, how many pencils do you have in total? | 62 | Add initial 53 plus bought 9: 53+9=62. | addition_word |
3,036 | fractions | medium | What is 7/10 * 16/16? Give as simplified fraction. | 7/10 | Multiply numerators: 7*16=112. Denominators: 10*16=160. Simplify by gcd 16 to get 7/10. | fraction_operations |
3,037 | exponents | easy | What is 5^3? | 125 | 5^3 means multiply 5 by itself 3 times: 5*5*5 = 125. | exponents |
3,038 | algebra | medium | Solve for x: x^2 - 9x + 18 = 0 | x = 3, 6 | Factor: (x - 3)(x - 6) = x^2 -(9)x + 18 = 0. So x = 3 or 6. Check sum = 9, product = 18. | quadratic |
3,039 | fractions | medium | What is 3/20 + 1/5? Give as simplified fraction. | 7/20 | Common denominator 20*5=100. 3/20=15/100, 1/5=20/100. Sum = 35/100 = 7/20 simplified. | fraction_operations |
3,040 | arithmetic | easy | What is 830 - 144? | 686 | Subtract: 830 - 144 = 686. | basic_operations |
3,041 | arithmetic | easy | What is 94 * 83? | 7802 | Multiply: 94 * 83 = 7802. | basic_operations |
3,042 | fractions | medium | What is 7/20 - 16/18? Give as simplified fraction. | -97/180 | Common denominator 360. Numerator 126-320=-194. So -194/360 simplifies to -97/180. | fraction_operations |
3,043 | number_theory | medium | What is the GCD (greatest common divisor) of 80 and 72? | 8 | Find greatest number dividing both 80 and 72. Divisors common, greatest is 8. | gcd |
3,044 | arithmetic | easy | What is 450 - 438? | 12 | Subtract: 450 - 438 = 12. | basic_operations |
3,045 | arithmetic | easy | What is 802 + 131 * 67? Remember order of operations. | 9579 | Order of operations (PEMDAS): first 131*67=8777, then 802+8777=9579. | basic_operations |
3,046 | statistics | easy | What is the mean (average) of 7, 77, 70? | 51.33 | Mean = sum/count. Sum = 7+77+70=154. Count=3. Mean=154/3=51.33. | mean |
3,047 | roots | easy | What is the square root of 4? | 2 | Find number that when squared gives 4. 2*2=4, so sqrt(4)=2. | square_roots |
3,048 | percentages | easy | What is 38% of 945? | 359.1 | Calculate 38/100 * 945 = 0.38*945 = 359.1. | percentages |
3,049 | geometry | easy | Find the circumference of a circle with radius 46. Use pi=3.14159, round to 2 decimals. | 289.03 | Circumference = 2*pi*r = 2*3.14159*46 = 289.03. | circle_circum |
3,050 | number_theory | medium | What is the LCM (least common multiple) of 9 and 21? | 63 | LCM = |9*21| / GCD(9,21). GCD=3, so LCM=189/3=63. | lcm |
3,051 | arithmetic | easy | What is 79 * 65? | 5135 | Multiply: 79 * 65 = 5135. | basic_operations |
3,052 | arithmetic | easy | What is 61 * 34? | 2074 | Multiply: 61 * 34 = 2074. | basic_operations |
3,053 | arithmetic | easy | What is 347 + 432? | 779 | Add the two numbers: 347 + 432 = 779. | basic_operations |
3,054 | arithmetic | easy | What is 43 * 97? | 4171 | Multiply: 43 * 97 = 4171. | basic_operations |
3,055 | arithmetic | easy | What is 79 * 90? | 7110 | Multiply: 79 * 90 = 7110. | basic_operations |
3,056 | arithmetic | easy | What is 95 * 79? | 7505 | Multiply: 95 * 79 = 7505. | basic_operations |
3,057 | statistics | easy | What is the mean (average) of 35, 93, 6? | 44.67 | Mean = sum/count. Sum = 35+93+6=134. Count=3. Mean=134/3=44.67. | mean |
3,058 | arithmetic | easy | What is 1530 / 6? | 255 | Divide: 1530 ÷ 6 = 255 because 6*255=1530. | division |
3,059 | number_theory | medium | What is the LCM (least common multiple) of 56 and 62? | 1736 | LCM = |56*62| / GCD(56,62). GCD=2, so LCM=3472/2=1736. | lcm |
3,060 | percentages | easy | What is 3% of 954? | 28.62 | Calculate 3/100 * 954 = 0.03*954 = 28.62. | percentages |
3,061 | arithmetic | easy | What is 78 * 49? | 3822 | Multiply: 78 * 49 = 3822. | basic_operations |
3,062 | arithmetic | easy | What is 566 - 494? | 72 | Subtract: 566 - 494 = 72. | basic_operations |
3,063 | algebra | easy | Solve for x: 14x + 39 = 137 | 7 | Subtract 39 from both sides: 14x = 137-39=98. Then divide by 14: x = 98/14 = 7. | linear_equation |
3,064 | algebra | easy | Solve for x: 4x + 6 = -46 | -13 | Subtract 6 from both sides: 4x = -46-6=-52. Then divide by 4: x = -52/4 = -13. | linear_equation |
3,065 | number_theory | medium | What is the LCM (least common multiple) of 46 and 25? | 1150 | LCM = |46*25| / GCD(46,25). GCD=1, so LCM=1150/1=1150. | lcm |
3,066 | 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 |
3,067 | percentages | easy | What is 30% of 95? | 28.5 | Calculate 30/100 * 95 = 0.3*95 = 28.5. | percentages |
3,068 | arithmetic | easy | What is 73 * 6? | 438 | Multiply: 73 * 6 = 438. | basic_operations |
3,069 | arithmetic | easy | What is 895 + 738 * 32? Remember order of operations. | 24511 | Order of operations (PEMDAS): first 738*32=23616, then 895+23616=24511. | basic_operations |
3,070 | algebra | easy | Solve for x: 15x - 27 = -57 | -2 | Add 27 to both sides: 15x = -57+27=-30. Then x = -30/15 = -2. | linear_equation |
3,071 | arithmetic | easy | What is 32 + 38 * 78? Remember order of operations. | 2996 | Order of operations (PEMDAS): first 38*78=2964, then 32+2964=2996. | basic_operations |
3,072 | calculus | medium | What is the derivative of 2x^5 with respect to x? | 10x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^5] = 2*5*x^4 = 10x^4. | derivative |
3,073 | arithmetic | easy | What is 79 + 257? | 336 | Add the two numbers: 79 + 257 = 336. | basic_operations |
3,074 | number_theory | medium | What is the LCM (least common multiple) of 29 and 57? | 1653 | LCM = |29*57| / GCD(29,57). GCD=1, so LCM=1653/1=1653. | lcm |
3,075 | number_theory | medium | What is the LCM (least common multiple) of 100 and 71? | 7100 | LCM = |100*71| / GCD(100,71). GCD=1, so LCM=7100/1=7100. | lcm |
3,076 | percentages | easy | What is 68% of 915? | 622.2 | Calculate 68/100 * 915 = 0.68*915 = 622.2. | percentages |
3,077 | 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 |
3,078 | arithmetic | easy | What is 1428 divided by 8? Give answer to 2 decimal places. | 178.5 | Calculate 1428/ 8 = 178.5000, rounded to 2 decimals is 178.5. | division |
3,079 | geometry | easy | Find the area of a rectangle with length 27 and width 18. | 486 | Area = length * width = 27*18 = 486. | rectangle_area |
3,080 | percentages | easy | What is 40% of 760? | 304 | Calculate 40/100 * 760 = 0.4*760 = 304. | percentages |
3,081 | fractions | medium | What is 4/13 + 5/3? Give as simplified fraction. | 77/39 | Common denominator 13*3=39. 4/13=12/39, 5/3=65/39. Sum = 77/39 = 77/39 simplified. | fraction_operations |
3,082 | word_problems | easy | If you have 88 candies and you buy 49 more candies, how many candies do you have in total? | 137 | Add initial 88 plus bought 49: 88+49=137. | addition_word |
3,083 | arithmetic | easy | What is 1024 / 4? | 256 | Divide: 1024 ÷ 4 = 256 because 4*256=1024. | division |
3,084 | geometry | easy | Find the area of a triangle with base 50 and height 39. | 975 | Area = 0.5*base*height = 0.5*50*39 = 975. | triangle_area |
3,085 | arithmetic | easy | What is 286 - 62? | 224 | Subtract: 286 - 62 = 224. | basic_operations |
3,086 | calculus | medium | What is the derivative of 8x^5 with respect to x? | 40x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^5] = 8*5*x^4 = 40x^4. | derivative |
3,087 | arithmetic | easy | What is 230 + 211? | 441 | Add the two numbers: 230 + 211 = 441. | basic_operations |
3,088 | arithmetic | easy | What is 98 * 45? | 4410 | Multiply: 98 * 45 = 4410. | basic_operations |
3,089 | roots | easy | What is the square root of 289? | 17 | Find number that when squared gives 289. 17*17=289, so sqrt(289)=17. | square_roots |
3,090 | fractions | medium | What is 1/12 - 20/15? Give as simplified fraction. | -5/4 | Common denominator 180. Numerator 15-240=-225. So -225/180 simplifies to -5/4. | fraction_operations |
3,091 | arithmetic | easy | What is 827 - 112? | 715 | Subtract: 827 - 112 = 715. | basic_operations |
3,092 | exponents | easy | What is 10^5? | 100000 | 10^5 means multiply 10 by itself 5 times: 10*10*10*10*10 = 100000. | exponents |
3,093 | 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 |
3,094 | geometry | easy | Find the perimeter of a rectangle with length 49 and width 60. | 218 | Perimeter = 2*(length+width) = 2*(49+60) = 2*109 = 218. | rectangle_perim |
3,095 | percentages | easy | What is 17% of 930? | 158.1 | Calculate 17/100 * 930 = 0.17*930 = 158.1. | percentages |
3,096 | arithmetic | easy | What is 819 + 288 * 88? Remember order of operations. | 26163 | Order of operations (PEMDAS): first 288*88=25344, then 819+25344=26163. | basic_operations |
3,097 | percentages | easy | What is 99% of 556? | 550.44 | Calculate 99/100 * 556 = 0.99*556 = 550.44. | percentages |
3,098 | exponents | easy | What is 7^5? | 16807 | 7^5 means multiply 7 by itself 5 times: 7*7*7*7*7 = 16807. | exponents |
3,099 | arithmetic | easy | What is 631 - 281? | 350 | Subtract: 631 - 281 = 350. | basic_operations |
3,100 | arithmetic | easy | What is 42 * 34? | 1428 | Multiply: 42 * 34 = 1428. | basic_operations |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.