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 |
|---|---|---|---|---|---|---|
731,001 | number_theory | medium | What is the GCD (greatest common divisor) of 28 and 78? | 2 | Find greatest number dividing both 28 and 78. Divisors common, greatest is 2. | gcd |
731,002 | algebra | easy | Solve for x: 11x + 17 = 204 | 17 | Subtract 17 from both sides: 11x = 204-17=187. Then divide by 11: x = 187/11 = 17. | linear_equation |
731,003 | algebra | easy | Solve for x: 12x - 32 = 52 | 7 | Add 32 to both sides: 12x = 52+32=84. Then x = 84/12 = 7. | linear_equation |
731,004 | number_theory | medium | What is the GCD (greatest common divisor) of 36 and 66? | 6 | Find greatest number dividing both 36 and 66. Divisors common, greatest is 6. | gcd |
731,005 | algebra | easy | Solve for x: 20x + 12 = 232 | 11 | Subtract 12 from both sides: 20x = 232-12=220. Then divide by 20: x = 220/20 = 11. | linear_equation |
731,006 | 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 |
731,007 | algebra | easy | Solve for x: 15x - 49 = -124 | -5 | Add 49 to both sides: 15x = -124+49=-75. Then x = -75/15 = -5. | linear_equation |
731,008 | 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 |
731,009 | geometry | easy | Find the circumference of a circle with radius 29. Use pi=3.14159, round to 2 decimals. | 182.21 | Circumference = 2*pi*r = 2*3.14159*29 = 182.21. | circle_circum |
731,010 | algebra | easy | Solve for x: 2x - 23 = -53 | -15 | Add 23 to both sides: 2x = -53+23=-30. Then x = -30/2 = -15. | linear_equation |
731,011 | arithmetic | easy | What is 37 * 83? | 3071 | Multiply: 37 * 83 = 3071. | basic_operations |
731,012 | number_theory | medium | What is the GCD (greatest common divisor) of 73 and 58? | 1 | Find greatest number dividing both 73 and 58. Divisors common, greatest is 1. | gcd |
731,013 | arithmetic | easy | What is 690 + 324 * 11? Remember order of operations. | 4254 | Order of operations (PEMDAS): first 324*11=3564, then 690+3564=4254. | basic_operations |
731,014 | 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 |
731,015 | fractions | medium | What is 14/13 * 19/19? Give as simplified fraction. | 14/13 | Multiply numerators: 14*19=266. Denominators: 13*19=247. Simplify by gcd 19 to get 14/13. | fraction_operations |
731,016 | fractions | medium | What is 20/11 - 4/17? Give as simplified fraction. | 296/187 | Common denominator 187. Numerator 340-44=296. So 296/187 simplifies to 296/187. | fraction_operations |
731,017 | number_theory | medium | What is the GCD (greatest common divisor) of 38 and 67? | 1 | Find greatest number dividing both 38 and 67. Divisors common, greatest is 1. | gcd |
731,018 | roots | easy | What is the square root of 484? | 22 | Find number that when squared gives 484. 22*22=484, so sqrt(484)=22. | square_roots |
731,019 | fractions | medium | What is 1/8 + 7/7? Give as simplified fraction. | 9/8 | Common denominator 8*7=56. 1/8=7/56, 7/7=56/56. Sum = 63/56 = 9/8 simplified. | fraction_operations |
731,020 | algebra | medium | Solve for x: x^2 - 1x - 2 = 0 | x = -1, 2 | Factor: (x - -1)(x - 2) = x^2 -(1)x + -2 = 0. So x = -1 or 2. Check sum = 1, product = -2. | quadratic |
731,021 | percentages | easy | What is 75% of 77? | 57.75 | Calculate 75/100 * 77 = 0.75*77 = 57.75. | percentages |
731,022 | arithmetic | easy | What is 599 + 187 * 78? Remember order of operations. | 15185 | Order of operations (PEMDAS): first 187*78=14586, then 599+14586=15185. | basic_operations |
731,023 | fractions | medium | What is 9/8 + 3/7? Give as simplified fraction. | 87/56 | Common denominator 8*7=56. 9/8=63/56, 3/7=24/56. Sum = 87/56 = 87/56 simplified. | fraction_operations |
731,024 | number_theory | medium | What is the LCM (least common multiple) of 98 and 45? | 4410 | LCM = |98*45| / GCD(98,45). GCD=1, so LCM=4410/1=4410. | lcm |
731,025 | arithmetic | easy | What is 26079 divided by 93? Give answer to 2 decimal places. | 280.42 | Calculate 26079/ 93 = 280.4194, rounded to 2 decimals is 280.42. | division |
731,026 | geometry | easy | Find the area of a rectangle with length 97 and width 19. | 1843 | Area = length * width = 97*19 = 1843. | rectangle_area |
731,027 | word_problems | easy | If you have 53 dollars and you buy 7 more dollars, how many dollars do you have in total? | 60 | Add initial 53 plus bought 7: 53+7=60. | addition_word |
731,028 | arithmetic | easy | What is 12046 divided by 94? Give answer to 2 decimal places. | 128.15 | Calculate 12046/ 94 = 128.1489, rounded to 2 decimals is 128.15. | division |
731,029 | exponents | easy | What is 11^4? | 14641 | 11^4 means multiply 11 by itself 4 times: 11*11*11*11 = 14641. | exponents |
731,030 | arithmetic | easy | What is 85 * 6? | 510 | Multiply: 85 * 6 = 510. | basic_operations |
731,031 | word_problems | easy | If you have 69 apples and you buy 20 more apples, how many apples do you have in total? | 89 | Add initial 69 plus bought 20: 69+20=89. | addition_word |
731,032 | exponents | easy | What is 7^4? | 2401 | 7^4 means multiply 7 by itself 4 times: 7*7*7*7 = 2401. | exponents |
731,033 | calculus | medium | What is the derivative of 8x^6 with respect to x? | 48x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^6] = 8*6*x^5 = 48x^5. | derivative |
731,034 | statistics | easy | What is the mean (average) of 31, 99, 93, 47? | 67.5 | Mean = sum/count. Sum = 31+99+93+47=270. Count=4. Mean=270/4=67.5. | mean |
731,035 | percentages | easy | What is 63% of 335? | 211.05 | Calculate 63/100 * 335 = 0.63*335 = 211.05. | percentages |
731,036 | algebra | easy | Solve for x: 7x - 11 = 59 | 10 | Add 11 to both sides: 7x = 59+11=70. Then x = 70/7 = 10. | linear_equation |
731,037 | statistics | easy | What is the mean (average) of 5, 73, 51? | 43 | Mean = sum/count. Sum = 5+73+51=129. Count=3. Mean=129/3=43.0. | mean |
731,038 | exponents | easy | What is 9^5? | 59049 | 9^5 means multiply 9 by itself 5 times: 9*9*9*9*9 = 59049. | exponents |
731,039 | exponents | easy | What is 2^4? | 16 | 2^4 means multiply 2 by itself 4 times: 2*2*2*2 = 16. | exponents |
731,040 | arithmetic | easy | What is 387 - 378? | 9 | Subtract: 387 - 378 = 9. | basic_operations |
731,041 | arithmetic | easy | What is 961 + 931? | 1892 | Add the two numbers: 961 + 931 = 1892. | basic_operations |
731,042 | arithmetic | easy | What is 689 + 240 * 9? Remember order of operations. | 2849 | Order of operations (PEMDAS): first 240*9=2160, then 689+2160=2849. | basic_operations |
731,043 | 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 |
731,044 | algebra | easy | Solve for x: 1x - 48 = -47 | 1 | Add 48 to both sides: 1x = -47+48=1. Then x = 1/1 = 1. | linear_equation |
731,045 | arithmetic | easy | What is 236 + 485? | 721 | Add the two numbers: 236 + 485 = 721. | basic_operations |
731,046 | 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 |
731,047 | algebra | medium | Solve for x: x^2 + 5x - 14 = 0 | x = -7, 2 | Factor: (x - -7)(x - 2) = x^2 -(-5)x + -14 = 0. So x = -7 or 2. Check sum = -5, product = -14. | quadratic |
731,048 | number_theory | medium | What is the LCM (least common multiple) of 7 and 37? | 259 | LCM = |7*37| / GCD(7,37). GCD=1, so LCM=259/1=259. | lcm |
731,049 | algebra | easy | Solve for x: 17x + 9 = 264 | 15 | Subtract 9 from both sides: 17x = 264-9=255. Then divide by 17: x = 255/17 = 15. | linear_equation |
731,050 | arithmetic | easy | What is 200 + 819? | 1019 | Add the two numbers: 200 + 819 = 1019. | basic_operations |
731,051 | word_problems | easy | If you have 44 dollars and you buy 20 more dollars, how many dollars do you have in total? | 64 | Add initial 44 plus bought 20: 44+20=64. | addition_word |
731,052 | roots | easy | What is the square root of 1521? | 39 | Find number that when squared gives 1521. 39*39=1521, so sqrt(1521)=39. | square_roots |
731,053 | algebra | medium | Solve for x: x^2 + 4x - 45 = 0 | x = -9, 5 | Factor: (x - -9)(x - 5) = x^2 -(-4)x + -45 = 0. So x = -9 or 5. Check sum = -4, product = -45. | quadratic |
731,054 | algebra | easy | Solve for x: 3x - 17 = -8 | 3 | Add 17 to both sides: 3x = -8+17=9. Then x = 9/3 = 3. | linear_equation |
731,055 | algebra | medium | Solve for x: x^2 + 7x - 18 = 0 | x = 2, -9 | Factor: (x - 2)(x - -9) = x^2 -(-7)x + -18 = 0. So x = 2 or -9. Check sum = -7, product = -18. | quadratic |
731,056 | geometry | easy | Find the perimeter of a rectangle with length 10 and width 82. | 184 | Perimeter = 2*(length+width) = 2*(10+82) = 2*92 = 184. | rectangle_perim |
731,057 | fractions | medium | What is 15/2 + 8/17? Give as simplified fraction. | 271/34 | Common denominator 2*17=34. 15/2=255/34, 8/17=16/34. Sum = 271/34 = 271/34 simplified. | fraction_operations |
731,058 | algebra | medium | Solve for x: x^2 - 7x - 18 = 0 | x = 9, -2 | Factor: (x - 9)(x - -2) = x^2 -(7)x + -18 = 0. So x = 9 or -2. Check sum = 7, product = -18. | quadratic |
731,059 | calculus | medium | What is the derivative of 3x^4 with respect to x? | 12x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^4] = 3*4*x^3 = 12x^3. | derivative |
731,060 | exponents | easy | What is 6^5? | 7776 | 6^5 means multiply 6 by itself 5 times: 6*6*6*6*6 = 7776. | exponents |
731,061 | 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 |
731,062 | fractions | medium | What is 8/3 * 16/16? Give as simplified fraction. | 8/3 | Multiply numerators: 8*16=128. Denominators: 3*16=48. Simplify by gcd 16 to get 8/3. | fraction_operations |
731,063 | exponents | easy | What is 12^5? | 248832 | 12^5 means multiply 12 by itself 5 times: 12*12*12*12*12 = 248832. | exponents |
731,064 | percentages | easy | What is 33% of 399? | 131.67 | Calculate 33/100 * 399 = 0.33*399 = 131.67. | percentages |
731,065 | arithmetic | easy | What is 10 * 39? | 390 | Multiply: 10 * 39 = 390. | basic_operations |
731,066 | number_theory | medium | What is the LCM (least common multiple) of 50 and 46? | 1150 | LCM = |50*46| / GCD(50,46). GCD=2, so LCM=2300/2=1150. | lcm |
731,067 | roots | easy | What is the square root of 1600? | 40 | Find number that when squared gives 1600. 40*40=1600, so sqrt(1600)=40. | square_roots |
731,068 | percentages | easy | What is 49% of 838? | 410.62 | Calculate 49/100 * 838 = 0.49*838 = 410.62. | percentages |
731,069 | 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 |
731,070 | statistics | easy | What is the mean (average) of 83, 60, 52, 82, 31? | 61.6 | Mean = sum/count. Sum = 83+60+52+82+31=308. Count=5. Mean=308/5=61.6. | mean |
731,071 | 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 |
731,072 | roots | easy | What is the square root of 484? | 22 | Find number that when squared gives 484. 22*22=484, so sqrt(484)=22. | square_roots |
731,073 | number_theory | medium | What is the LCM (least common multiple) of 77 and 11? | 77 | LCM = |77*11| / GCD(77,11). GCD=11, so LCM=847/11=77. | lcm |
731,074 | geometry | easy | Find the circumference of a circle with radius 9. Use pi=3.14159, round to 2 decimals. | 56.55 | Circumference = 2*pi*r = 2*3.14159*9 = 56.55. | circle_circum |
731,075 | word_problems | easy | If you have 54 dollars and you buy 38 more dollars, how many dollars do you have in total? | 92 | Add initial 54 plus bought 38: 54+38=92. | addition_word |
731,076 | algebra | medium | Solve for x: x^2 + 5x + 4 = 0 | x = -1, -4 | Factor: (x - -1)(x - -4) = x^2 -(-5)x + 4 = 0. So x = -1 or -4. Check sum = -5, product = 4. | quadratic |
731,077 | exponents | easy | What is 3^4? | 81 | 3^4 means multiply 3 by itself 4 times: 3*3*3*3 = 81. | exponents |
731,078 | arithmetic | easy | What is 16 + 163 * 30? Remember order of operations. | 4906 | Order of operations (PEMDAS): first 163*30=4890, then 16+4890=4906. | basic_operations |
731,079 | 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 |
731,080 | calculus | medium | What is the derivative of 9x^6 with respect to x? | 54x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^6] = 9*6*x^5 = 54x^5. | derivative |
731,081 | statistics | easy | What is the mean (average) of 44, 38, 42? | 41.33 | Mean = sum/count. Sum = 44+38+42=124. Count=3. Mean=124/3=41.33. | mean |
731,082 | statistics | easy | What is the mean (average) of 68, 86, 13, 83? | 62.5 | Mean = sum/count. Sum = 68+86+13+83=250. Count=4. Mean=250/4=62.5. | mean |
731,083 | word_problems | easy | If you have 83 pencils and you buy 26 more pencils, how many pencils do you have in total? | 109 | Add initial 83 plus bought 26: 83+26=109. | addition_word |
731,084 | geometry | easy | Find the circumference of a circle with radius 30. Use pi=3.14159, round to 2 decimals. | 188.5 | Circumference = 2*pi*r = 2*3.14159*30 = 188.5. | circle_circum |
731,085 | 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 |
731,086 | arithmetic | easy | What is 942 + 43? | 985 | Add the two numbers: 942 + 43 = 985. | basic_operations |
731,087 | geometry | easy | Find the circumference of a circle with radius 25. Use pi=3.14159, round to 2 decimals. | 157.08 | Circumference = 2*pi*r = 2*3.14159*25 = 157.08. | circle_circum |
731,088 | word_problems | easy | If you have 44 apples and you buy 5 more apples, how many apples do you have in total? | 49 | Add initial 44 plus bought 5: 44+5=49. | addition_word |
731,089 | percentages | easy | What is 48% of 97? | 46.56 | Calculate 48/100 * 97 = 0.48*97 = 46.56. | percentages |
731,090 | word_problems | easy | If you have 28 books and you buy 44 more books, how many books do you have in total? | 72 | Add initial 28 plus bought 44: 28+44=72. | addition_word |
731,091 | fractions | medium | What is 8/3 * 4/12? Give as simplified fraction. | 8/9 | Multiply numerators: 8*4=32. Denominators: 3*12=36. Simplify by gcd 4 to get 8/9. | fraction_operations |
731,092 | exponents | easy | What is 6^3? | 216 | 6^3 means multiply 6 by itself 3 times: 6*6*6 = 216. | exponents |
731,093 | arithmetic | easy | What is 4080 / 12? | 340 | Divide: 4080 ÷ 12 = 340 because 12*340=4080. | division |
731,094 | arithmetic | easy | What is 12464 / 76? | 164 | Divide: 12464 ÷ 76 = 164 because 76*164=12464. | division |
731,095 | algebra | easy | Solve for x: 10x - 42 = 18 | 6 | Add 42 to both sides: 10x = 18+42=60. Then x = 60/10 = 6. | linear_equation |
731,096 | word_problems | easy | If you have 72 books and you buy 8 more books, how many books do you have in total? | 80 | Add initial 72 plus bought 8: 72+8=80. | addition_word |
731,097 | roots | easy | What is the square root of 81? | 9 | Find number that when squared gives 81. 9*9=81, so sqrt(81)=9. | square_roots |
731,098 | roots | easy | What is the square root of 2304? | 48 | Find number that when squared gives 2304. 48*48=2304, so sqrt(2304)=48. | square_roots |
731,099 | number_theory | medium | What is the GCD (greatest common divisor) of 35 and 50? | 5 | Find greatest number dividing both 35 and 50. Divisors common, greatest is 5. | gcd |
731,100 | word_problems | easy | If you have 34 apples and you buy 38 more apples, how many apples do you have in total? | 72 | Add initial 34 plus bought 38: 34+38=72. | addition_word |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.