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 |
|---|---|---|---|---|---|---|
1,001 | exponents | easy | What is 12^2? | 144 | 12^2 means multiply 12 by itself 2 times: 12*12 = 144. | exponents |
1,002 | statistics | easy | What is the mean (average) of 44, 36, 82? | 54 | Mean = sum/count. Sum = 44+36+82=162. Count=3. Mean=162/3=54.0. | mean |
1,003 | roots | easy | What is the square root of 324? | 18 | Find number that when squared gives 324. 18*18=324, so sqrt(324)=18. | square_roots |
1,004 | geometry | easy | Find the area of a circle with radius 13. Use pi=3.14159, round to 2 decimals. | 530.93 | Area = pi*r^2 = 3.14159*13^2 = 3.14159*169 = 530.93. | circle_area |
1,005 | algebra | easy | Solve for x: 17x + 47 = -38 | -5 | Subtract 47 from both sides: 17x = -38-47=-85. Then divide by 17: x = -85/17 = -5. | linear_equation |
1,006 | arithmetic | easy | What is 878 - 825? | 53 | Subtract: 878 - 825 = 53. | basic_operations |
1,007 | algebra | easy | Solve for x: 1x + 33 = 44 | 11 | Subtract 33 from both sides: 1x = 44-33=11. Then divide by 1: x = 11/1 = 11. | linear_equation |
1,008 | exponents | easy | What is 6^5? | 7776 | 6^5 means multiply 6 by itself 5 times: 6*6*6*6*6 = 7776. | exponents |
1,009 | calculus | medium | What is the derivative of 1x^5 with respect to x? | 5x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^5] = 1*5*x^4 = 5x^4. | derivative |
1,010 | fractions | medium | What is 11/9 * 18/17? Give as simplified fraction. | 22/17 | Multiply numerators: 11*18=198. Denominators: 9*17=153. Simplify by gcd 9 to get 22/17. | fraction_operations |
1,011 | number_theory | medium | What is the GCD (greatest common divisor) of 65 and 39? | 13 | Find greatest number dividing both 65 and 39. Divisors common, greatest is 13. | gcd |
1,012 | algebra | medium | Solve for x: x^2 + 8x + 7 = 0 | x = -1, -7 | Factor: (x - -1)(x - -7) = x^2 -(-8)x + 7 = 0. So x = -1 or -7. Check sum = -8, product = 7. | quadratic |
1,013 | statistics | easy | What is the mean (average) of 95, 34, 93? | 74 | Mean = sum/count. Sum = 95+34+93=222. Count=3. Mean=222/3=74.0. | mean |
1,014 | 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 |
1,015 | arithmetic | easy | What is 40 * 54? | 2160 | Multiply: 40 * 54 = 2160. | basic_operations |
1,016 | 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 |
1,017 | geometry | easy | Find the area of a triangle with base 38 and height 60. | 1140 | Area = 0.5*base*height = 0.5*38*60 = 1140. | triangle_area |
1,018 | arithmetic | easy | What is 1736 / 62? | 28 | Divide: 1736 ÷ 62 = 28 because 62*28=1736. | division |
1,019 | statistics | easy | What is the mean (average) of 65, 16, 88? | 56.33 | Mean = sum/count. Sum = 65+16+88=169. Count=3. Mean=169/3=56.33. | mean |
1,020 | calculus | medium | What is the derivative of 5x^6 with respect to x? | 30x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^6] = 5*6*x^5 = 30x^5. | derivative |
1,021 | 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 |
1,022 | algebra | easy | Solve for x: 5x - 25 = -20 | 1 | Add 25 to both sides: 5x = -20+25=5. Then x = 5/5 = 1. | linear_equation |
1,023 | 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 |
1,024 | word_problems | easy | If you have 23 books and you buy 21 more books, how many books do you have in total? | 44 | Add initial 23 plus bought 21: 23+21=44. | addition_word |
1,025 | arithmetic | easy | What is 500 + 341? | 841 | Add the two numbers: 500 + 341 = 841. | basic_operations |
1,026 | arithmetic | easy | What is 5 + 463? | 468 | Add the two numbers: 5 + 463 = 468. | basic_operations |
1,027 | algebra | medium | Solve for x: x^2 - 3x - 40 = 0 | x = 8, -5 | Factor: (x - 8)(x - -5) = x^2 -(3)x + -40 = 0. So x = 8 or -5. Check sum = 3, product = -40. | quadratic |
1,028 | statistics | easy | What is the mean (average) of 17, 79, 56? | 50.67 | Mean = sum/count. Sum = 17+79+56=152. Count=3. Mean=152/3=50.67. | mean |
1,029 | 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 |
1,030 | 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 |
1,031 | 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 |
1,032 | fractions | medium | What is 12/2 + 11/18? Give as simplified fraction. | 119/18 | Common denominator 2*18=36. 12/2=216/36, 11/18=22/36. Sum = 238/36 = 119/18 simplified. | fraction_operations |
1,033 | arithmetic | easy | What is 32 * 29? | 928 | Multiply: 32 * 29 = 928. | basic_operations |
1,034 | number_theory | medium | What is the GCD (greatest common divisor) of 40 and 17? | 1 | Find greatest number dividing both 40 and 17. Divisors common, greatest is 1. | gcd |
1,035 | calculus | medium | What is the derivative of 10x^6 with respect to x? | 60x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^6] = 10*6*x^5 = 60x^5. | derivative |
1,036 | exponents | easy | What is 4^2? | 16 | 4^2 means multiply 4 by itself 2 times: 4*4 = 16. | exponents |
1,037 | arithmetic | easy | What is 972 - 306? | 666 | Subtract: 972 - 306 = 666. | basic_operations |
1,038 | roots | easy | What is the square root of 784? | 28 | Find number that when squared gives 784. 28*28=784, so sqrt(784)=28. | square_roots |
1,039 | algebra | easy | Solve for x: 11x + 12 = 34 | 2 | Subtract 12 from both sides: 11x = 34-12=22. Then divide by 11: x = 22/11 = 2. | linear_equation |
1,040 | fractions | medium | What is 6/14 + 1/9? Give as simplified fraction. | 34/63 | Common denominator 14*9=126. 6/14=54/126, 1/9=14/126. Sum = 68/126 = 34/63 simplified. | fraction_operations |
1,041 | algebra | easy | Solve for x: 7x + 43 = -90 | -19 | Subtract 43 from both sides: 7x = -90-43=-133. Then divide by 7: x = -133/7 = -19. | linear_equation |
1,042 | algebra | medium | Solve for x: x^2 + 6x - 7 = 0 | x = -7, 1 | Factor: (x - -7)(x - 1) = x^2 -(-6)x + -7 = 0. So x = -7 or 1. Check sum = -6, product = -7. | quadratic |
1,043 | arithmetic | easy | What is 898 - 385? | 513 | Subtract: 898 - 385 = 513. | basic_operations |
1,044 | arithmetic | easy | What is 609 + 50? | 659 | Add the two numbers: 609 + 50 = 659. | basic_operations |
1,045 | arithmetic | easy | What is 707 - 50? | 657 | Subtract: 707 - 50 = 657. | basic_operations |
1,046 | arithmetic | easy | What is 9360 / 72? | 130 | Divide: 9360 ÷ 72 = 130 because 72*130=9360. | division |
1,047 | fractions | medium | What is 1/11 * 14/5? Give as simplified fraction. | 14/55 | Multiply numerators: 1*14=14. Denominators: 11*5=55. Simplify by gcd 1 to get 14/55. | fraction_operations |
1,048 | geometry | easy | Find the area of a triangle with base 78 and height 90. | 3510 | Area = 0.5*base*height = 0.5*78*90 = 3510. | triangle_area |
1,049 | algebra | easy | Solve for x: 14x - 37 = 131 | 12 | Add 37 to both sides: 14x = 131+37=168. Then x = 168/14 = 12. | linear_equation |
1,050 | arithmetic | easy | What is 2249 divided by 38? Give answer to 2 decimal places. | 59.18 | Calculate 2249/ 38 = 59.1842, rounded to 2 decimals is 59.18. | division |
1,051 | fractions | medium | What is 20/8 + 9/18? Give as simplified fraction. | 3 | Common denominator 8*18=144. 20/8=360/144, 9/18=72/144. Sum = 432/144 = 3 simplified. | fraction_operations |
1,052 | number_theory | medium | What is the LCM (least common multiple) of 91 and 53? | 4823 | LCM = |91*53| / GCD(91,53). GCD=1, so LCM=4823/1=4823. | lcm |
1,053 | algebra | medium | Solve for x: x^2 + 2x - 63 = 0 | x = -9, 7 | Factor: (x - -9)(x - 7) = x^2 -(-2)x + -63 = 0. So x = -9 or 7. Check sum = -2, product = -63. | quadratic |
1,054 | statistics | easy | What is the mean (average) of 89, 62, 43? | 64.67 | Mean = sum/count. Sum = 89+62+43=194. Count=3. Mean=194/3=64.67. | mean |
1,055 | percentages | easy | What is 1% of 14? | 0.14 | Calculate 1/100 * 14 = 0.01*14 = 0.14. | percentages |
1,056 | arithmetic | easy | What is 64 * 20? | 1280 | Multiply: 64 * 20 = 1280. | basic_operations |
1,057 | arithmetic | easy | What is 741 - 741? | 0 | Subtract: 741 - 741 = 0. | basic_operations |
1,058 | word_problems | easy | If you have 42 candies and you buy 17 more candies, how many candies do you have in total? | 59 | Add initial 42 plus bought 17: 42+17=59. | addition_word |
1,059 | arithmetic | easy | What is 103 + 833? | 936 | Add the two numbers: 103 + 833 = 936. | basic_operations |
1,060 | number_theory | medium | What is the LCM (least common multiple) of 87 and 41? | 3567 | LCM = |87*41| / GCD(87,41). GCD=1, so LCM=3567/1=3567. | lcm |
1,061 | arithmetic | easy | What is 6104 / 14? | 436 | Divide: 6104 ÷ 14 = 436 because 14*436=6104. | division |
1,062 | arithmetic | easy | What is 22 * 43? | 946 | Multiply: 22 * 43 = 946. | basic_operations |
1,063 | word_problems | easy | If you have 84 apples and you buy 18 more apples, how many apples do you have in total? | 102 | Add initial 84 plus bought 18: 84+18=102. | addition_word |
1,064 | number_theory | medium | What is the GCD (greatest common divisor) of 44 and 24? | 4 | Find greatest number dividing both 44 and 24. Divisors common, greatest is 4. | gcd |
1,065 | 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 |
1,066 | geometry | easy | Find the circumference of a circle with radius 45. Use pi=3.14159, round to 2 decimals. | 282.74 | Circumference = 2*pi*r = 2*3.14159*45 = 282.74. | circle_circum |
1,067 | statistics | easy | What is the mean (average) of 84, 22, 15, 17? | 34.5 | Mean = sum/count. Sum = 84+22+15+17=138. Count=4. Mean=138/4=34.5. | mean |
1,068 | arithmetic | easy | What is 966 + 865? | 1831 | Add the two numbers: 966 + 865 = 1831. | basic_operations |
1,069 | statistics | easy | What is the mean (average) of 87, 57, 24, 79, 49? | 59.2 | Mean = sum/count. Sum = 87+57+24+79+49=296. Count=5. Mean=296/5=59.2. | mean |
1,070 | number_theory | medium | What is the GCD (greatest common divisor) of 79 and 4? | 1 | Find greatest number dividing both 79 and 4. Divisors common, greatest is 1. | gcd |
1,071 | statistics | easy | What is the mean (average) of 15, 53, 57, 6? | 32.75 | Mean = sum/count. Sum = 15+53+57+6=131. Count=4. Mean=131/4=32.75. | mean |
1,072 | arithmetic | easy | What is 268 + 671? | 939 | Add the two numbers: 268 + 671 = 939. | basic_operations |
1,073 | percentages | easy | What is 86% of 895? | 769.7 | Calculate 86/100 * 895 = 0.86*895 = 769.7. | percentages |
1,074 | 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 |
1,075 | arithmetic | easy | What is 19323 / 57? | 339 | Divide: 19323 ÷ 57 = 339 because 57*339=19323. | division |
1,076 | statistics | easy | What is the mean (average) of 85, 87, 83, 50? | 76.25 | Mean = sum/count. Sum = 85+87+83+50=305. Count=4. Mean=305/4=76.25. | mean |
1,077 | algebra | easy | Solve for x: 18x + 28 = -278 | -17 | Subtract 28 from both sides: 18x = -278-28=-306. Then divide by 18: x = -306/18 = -17. | linear_equation |
1,078 | arithmetic | easy | What is 61 * 64? | 3904 | Multiply: 61 * 64 = 3904. | basic_operations |
1,079 | arithmetic | easy | What is 770 + 504? | 1274 | Add the two numbers: 770 + 504 = 1274. | basic_operations |
1,080 | geometry | easy | Find the area of a rectangle with length 65 and width 29. | 1885 | Area = length * width = 65*29 = 1885. | rectangle_area |
1,081 | 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 |
1,082 | arithmetic | easy | What is 471 + 455 * 74? Remember order of operations. | 34141 | Order of operations (PEMDAS): first 455*74=33670, then 471+33670=34141. | basic_operations |
1,083 | statistics | easy | What is the mean (average) of 41, 16, 64, 96? | 54.25 | Mean = sum/count. Sum = 41+16+64+96=217. Count=4. Mean=217/4=54.25. | mean |
1,084 | arithmetic | easy | What is 106 + 414? | 520 | Add the two numbers: 106 + 414 = 520. | basic_operations |
1,085 | arithmetic | easy | What is 82 * 39? | 3198 | Multiply: 82 * 39 = 3198. | basic_operations |
1,086 | fractions | medium | What is 15/12 + 12/3? Give as simplified fraction. | 21/4 | Common denominator 12*3=36. 15/12=45/36, 12/3=144/36. Sum = 189/36 = 21/4 simplified. | fraction_operations |
1,087 | word_problems | easy | If you have 47 pencils and you buy 36 more pencils, how many pencils do you have in total? | 83 | Add initial 47 plus bought 36: 47+36=83. | addition_word |
1,088 | statistics | easy | What is the mean (average) of 85, 47, 92, 58, 15? | 59.4 | Mean = sum/count. Sum = 85+47+92+58+15=297. Count=5. Mean=297/5=59.4. | mean |
1,089 | arithmetic | easy | What is 33462 / 99? | 338 | Divide: 33462 ÷ 99 = 338 because 99*338=33462. | division |
1,090 | roots | easy | What is the square root of 529? | 23 | Find number that when squared gives 529. 23*23=529, so sqrt(529)=23. | square_roots |
1,091 | exponents | easy | What is 10^4? | 10000 | 10^4 means multiply 10 by itself 4 times: 10*10*10*10 = 10000. | exponents |
1,092 | arithmetic | easy | What is 3222 divided by 7? Give answer to 2 decimal places. | 460.29 | Calculate 3222/ 7 = 460.2857, rounded to 2 decimals is 460.29. | division |
1,093 | algebra | easy | Solve for x: 14x - 37 = -93 | -4 | Add 37 to both sides: 14x = -93+37=-56. Then x = -56/14 = -4. | linear_equation |
1,094 | fractions | medium | What is 7/5 - 13/8? Give as simplified fraction. | -9/40 | Common denominator 40. Numerator 56-65=-9. So -9/40 simplifies to -9/40. | fraction_operations |
1,095 | fractions | medium | What is 11/5 * 14/3? Give as simplified fraction. | 154/15 | Multiply numerators: 11*14=154. Denominators: 5*3=15. Simplify by gcd 1 to get 154/15. | fraction_operations |
1,096 | arithmetic | easy | What is 45758 divided by 100? Give answer to 2 decimal places. | 457.58 | Calculate 45758/ 100 = 457.5800, rounded to 2 decimals is 457.58. | division |
1,097 | algebra | easy | Solve for x: 16x - 50 = 158 | 13 | Add 50 to both sides: 16x = 158+50=208. Then x = 208/16 = 13. | linear_equation |
1,098 | arithmetic | easy | What is 62 * 66? | 4092 | Multiply: 62 * 66 = 4092. | basic_operations |
1,099 | algebra | medium | Solve for x: x^2 - 3x - 40 = 0 | x = 8, -5 | Factor: (x - 8)(x - -5) = x^2 -(3)x + -40 = 0. So x = 8 or -5. Check sum = 3, product = -40. | quadratic |
1,100 | algebra | easy | Solve for x: 4x - 1 = 71 | 18 | Add 1 to both sides: 4x = 71+1=72. Then x = 72/4 = 18. | linear_equation |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.