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 |
|---|---|---|---|---|---|---|
730,001 | algebra | easy | Solve for x: 4x - 29 = -17 | 3 | Add 29 to both sides: 4x = -17+29=12. Then x = 12/4 = 3. | linear_equation |
730,002 | number_theory | medium | What is the GCD (greatest common divisor) of 84 and 52? | 4 | Find greatest number dividing both 84 and 52. Divisors common, greatest is 4. | gcd |
730,003 | 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 |
730,004 | number_theory | medium | What is the GCD (greatest common divisor) of 5 and 26? | 1 | Find greatest number dividing both 5 and 26. Divisors common, greatest is 1. | gcd |
730,005 | arithmetic | easy | What is 20900 / 95? | 220 | Divide: 20900 ÷ 95 = 220 because 95*220=20900. | division |
730,006 | arithmetic | easy | What is 519 - 324? | 195 | Subtract: 519 - 324 = 195. | basic_operations |
730,007 | 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 |
730,008 | geometry | easy | Find the area of a triangle with base 29 and height 23. | 333.5 | Area = 0.5*base*height = 0.5*29*23 = 333.5. | triangle_area |
730,009 | word_problems | easy | If you have 93 apples and you buy 4 more apples, how many apples do you have in total? | 97 | Add initial 93 plus bought 4: 93+4=97. | addition_word |
730,010 | arithmetic | easy | What is 8019 / 81? | 99 | Divide: 8019 ÷ 81 = 99 because 81*99=8019. | division |
730,011 | word_problems | easy | If you have 13 books and you buy 42 more books, how many books do you have in total? | 55 | Add initial 13 plus bought 42: 13+42=55. | addition_word |
730,012 | 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 |
730,013 | 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 |
730,014 | roots | easy | What is the square root of 2116? | 46 | Find number that when squared gives 2116. 46*46=2116, so sqrt(2116)=46. | square_roots |
730,015 | statistics | easy | What is the mean (average) of 15, 65, 31, 62, 84? | 51.4 | Mean = sum/count. Sum = 15+65+31+62+84=257. Count=5. Mean=257/5=51.4. | mean |
730,016 | number_theory | medium | What is the LCM (least common multiple) of 10 and 10? | 10 | LCM = |10*10| / GCD(10,10). GCD=10, so LCM=100/10=10. | lcm |
730,017 | geometry | easy | Find the circumference of a circle with radius 35. Use pi=3.14159, round to 2 decimals. | 219.91 | Circumference = 2*pi*r = 2*3.14159*35 = 219.91. | circle_circum |
730,018 | roots | easy | What is the square root of 729? | 27 | Find number that when squared gives 729. 27*27=729, so sqrt(729)=27. | square_roots |
730,019 | calculus | medium | What is the derivative of 3x^2 with respect to x? | 6x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^2] = 3*2*x^1 = 6x. | derivative |
730,020 | arithmetic | easy | What is 47 * 48? | 2256 | Multiply: 47 * 48 = 2256. | basic_operations |
730,021 | 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 |
730,022 | geometry | easy | Find the area of a circle with radius 1. Use pi=3.14159, round to 2 decimals. | 3.14 | Area = pi*r^2 = 3.14159*1^2 = 3.14159*1 = 3.14. | circle_area |
730,023 | algebra | easy | Solve for x: 2x - 43 = -63 | -10 | Add 43 to both sides: 2x = -63+43=-20. Then x = -20/2 = -10. | linear_equation |
730,024 | arithmetic | easy | What is 69 divided by 33? Give answer to 2 decimal places. | 2.09 | Calculate 69/ 33 = 2.0909, rounded to 2 decimals is 2.09. | division |
730,025 | statistics | easy | What is the mean (average) of 74, 96, 66? | 78.67 | Mean = sum/count. Sum = 74+96+66=236. Count=3. Mean=236/3=78.67. | mean |
730,026 | arithmetic | easy | What is 74 + 35 * 31? Remember order of operations. | 1159 | Order of operations (PEMDAS): first 35*31=1085, then 74+1085=1159. | basic_operations |
730,027 | arithmetic | easy | What is 289 - 264? | 25 | Subtract: 289 - 264 = 25. | basic_operations |
730,028 | arithmetic | easy | What is 8598 divided by 75? Give answer to 2 decimal places. | 114.64 | Calculate 8598/ 75 = 114.6400, rounded to 2 decimals is 114.64. | division |
730,029 | geometry | easy | Find the area of a triangle with base 83 and height 95. | 3942.5 | Area = 0.5*base*height = 0.5*83*95 = 3942.5. | triangle_area |
730,030 | number_theory | medium | What is the GCD (greatest common divisor) of 19 and 96? | 1 | Find greatest number dividing both 19 and 96. Divisors common, greatest is 1. | gcd |
730,031 | arithmetic | easy | What is 4061 / 31? | 131 | Divide: 4061 ÷ 31 = 131 because 31*131=4061. | division |
730,032 | arithmetic | easy | What is 37 + 242 * 81? Remember order of operations. | 19639 | Order of operations (PEMDAS): first 242*81=19602, then 37+19602=19639. | basic_operations |
730,033 | percentages | easy | What is 10% of 455? | 45.5 | Calculate 10/100 * 455 = 0.1*455 = 45.5. | percentages |
730,034 | arithmetic | easy | What is 798 - 138? | 660 | Subtract: 798 - 138 = 660. | basic_operations |
730,035 | fractions | medium | What is 11/5 + 13/3? Give as simplified fraction. | 98/15 | Common denominator 5*3=15. 11/5=33/15, 13/3=65/15. Sum = 98/15 = 98/15 simplified. | fraction_operations |
730,036 | roots | easy | What is the square root of 729? | 27 | Find number that when squared gives 729. 27*27=729, so sqrt(729)=27. | square_roots |
730,037 | algebra | medium | Solve for x: x^2 + 7x - 8 = 0 | x = -8, 1 | Factor: (x - -8)(x - 1) = x^2 -(-7)x + -8 = 0. So x = -8 or 1. Check sum = -7, product = -8. | quadratic |
730,038 | 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 |
730,039 | arithmetic | easy | What is 2745 divided by 57? Give answer to 2 decimal places. | 48.16 | Calculate 2745/ 57 = 48.1579, rounded to 2 decimals is 48.16. | division |
730,040 | 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 |
730,041 | algebra | easy | Solve for x: 14x - 32 = 136 | 12 | Add 32 to both sides: 14x = 136+32=168. Then x = 168/14 = 12. | linear_equation |
730,042 | 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 |
730,043 | percentages | easy | What is 1% of 674? | 6.74 | Calculate 1/100 * 674 = 0.01*674 = 6.74. | percentages |
730,044 | arithmetic | easy | What is 8483 divided by 28? Give answer to 2 decimal places. | 302.96 | Calculate 8483/ 28 = 302.9643, rounded to 2 decimals is 302.96. | division |
730,045 | 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 |
730,046 | algebra | easy | Solve for x: 18x + 18 = 216 | 11 | Subtract 18 from both sides: 18x = 216-18=198. Then divide by 18: x = 198/18 = 11. | linear_equation |
730,047 | arithmetic | easy | What is 19450 divided by 64? Give answer to 2 decimal places. | 303.91 | Calculate 19450/ 64 = 303.9062, rounded to 2 decimals is 303.91. | division |
730,048 | roots | easy | What is the square root of 144? | 12 | Find number that when squared gives 144. 12*12=144, so sqrt(144)=12. | square_roots |
730,049 | exponents | easy | What is 12^5? | 248832 | 12^5 means multiply 12 by itself 5 times: 12*12*12*12*12 = 248832. | exponents |
730,050 | percentages | easy | What is 90% of 339? | 305.1 | Calculate 90/100 * 339 = 0.9*339 = 305.1. | percentages |
730,051 | percentages | easy | What is 96% of 157? | 150.72 | Calculate 96/100 * 157 = 0.96*157 = 150.72. | percentages |
730,052 | word_problems | easy | If you have 79 books and you buy 28 more books, how many books do you have in total? | 107 | Add initial 79 plus bought 28: 79+28=107. | addition_word |
730,053 | calculus | medium | What is the derivative of 2x^7 with respect to x? | 14x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^7] = 2*7*x^6 = 14x^6. | derivative |
730,054 | percentages | easy | What is 34% of 534? | 181.56 | Calculate 34/100 * 534 = 0.34*534 = 181.56. | percentages |
730,055 | word_problems | easy | If you have 49 books and you buy 36 more books, how many books do you have in total? | 85 | Add initial 49 plus bought 36: 49+36=85. | addition_word |
730,056 | arithmetic | easy | What is 94 * 33? | 3102 | Multiply: 94 * 33 = 3102. | basic_operations |
730,057 | algebra | medium | Solve for x: x^2 - 6x - 40 = 0 | x = -4, 10 | Factor: (x - -4)(x - 10) = x^2 -(6)x + -40 = 0. So x = -4 or 10. Check sum = 6, product = -40. | quadratic |
730,058 | word_problems | easy | If you have 96 books and you buy 19 more books, how many books do you have in total? | 115 | Add initial 96 plus bought 19: 96+19=115. | addition_word |
730,059 | geometry | easy | Find the area of a rectangle with length 55 and width 95. | 5225 | Area = length * width = 55*95 = 5225. | rectangle_area |
730,060 | arithmetic | easy | What is 664 + 650 * 32? Remember order of operations. | 21464 | Order of operations (PEMDAS): first 650*32=20800, then 664+20800=21464. | basic_operations |
730,061 | 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 |
730,062 | algebra | medium | Solve for x: x^2 - 10x + 21 = 0 | x = 7, 3 | Factor: (x - 7)(x - 3) = x^2 -(10)x + 21 = 0. So x = 7 or 3. Check sum = 10, product = 21. | quadratic |
730,063 | percentages | easy | What is 29% of 738? | 214.02 | Calculate 29/100 * 738 = 0.29*738 = 214.02. | percentages |
730,064 | geometry | easy | Find the area of a triangle with base 71 and height 33. | 1171.5 | Area = 0.5*base*height = 0.5*71*33 = 1171.5. | triangle_area |
730,065 | algebra | easy | Solve for x: 16x - 50 = -242 | -12 | Add 50 to both sides: 16x = -242+50=-192. Then x = -192/16 = -12. | linear_equation |
730,066 | statistics | easy | What is the mean (average) of 15, 1, 9, 37, 3? | 13 | Mean = sum/count. Sum = 15+1+9+37+3=65. Count=5. Mean=65/5=13.0. | mean |
730,067 | arithmetic | easy | What is 65 * 15? | 975 | Multiply: 65 * 15 = 975. | basic_operations |
730,068 | arithmetic | easy | What is 507 + 95 * 94? Remember order of operations. | 9437 | Order of operations (PEMDAS): first 95*94=8930, then 507+8930=9437. | basic_operations |
730,069 | 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 |
730,070 | statistics | easy | What is the mean (average) of 68, 40, 41, 94? | 60.75 | Mean = sum/count. Sum = 68+40+41+94=243. Count=4. Mean=243/4=60.75. | mean |
730,071 | algebra | easy | Solve for x: 15x + 46 = 346 | 20 | Subtract 46 from both sides: 15x = 346-46=300. Then divide by 15: x = 300/15 = 20. | linear_equation |
730,072 | algebra | easy | Solve for x: 7x - 41 = -167 | -18 | Add 41 to both sides: 7x = -167+41=-126. Then x = -126/7 = -18. | linear_equation |
730,073 | algebra | medium | Solve for x: x^2 + 7x + 6 = 0 | x = -6, -1 | Factor: (x - -6)(x - -1) = x^2 -(-7)x + 6 = 0. So x = -6 or -1. Check sum = -7, product = 6. | quadratic |
730,074 | arithmetic | easy | What is 431 - 172? | 259 | Subtract: 431 - 172 = 259. | basic_operations |
730,075 | statistics | easy | What is the mean (average) of 88, 28, 39? | 51.67 | Mean = sum/count. Sum = 88+28+39=155. Count=3. Mean=155/3=51.67. | mean |
730,076 | 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 |
730,077 | arithmetic | easy | What is 29367 divided by 89? Give answer to 2 decimal places. | 329.97 | Calculate 29367/ 89 = 329.9663, rounded to 2 decimals is 329.97. | division |
730,078 | roots | easy | What is the square root of 169? | 13 | Find number that when squared gives 169. 13*13=169, so sqrt(169)=13. | square_roots |
730,079 | algebra | medium | Solve for x: x^2 + 13x + 40 = 0 | x = -5, -8 | Factor: (x - -5)(x - -8) = x^2 -(-13)x + 40 = 0. So x = -5 or -8. Check sum = -13, product = 40. | quadratic |
730,080 | exponents | easy | What is 12^5? | 248832 | 12^5 means multiply 12 by itself 5 times: 12*12*12*12*12 = 248832. | exponents |
730,081 | exponents | easy | What is 6^4? | 1296 | 6^4 means multiply 6 by itself 4 times: 6*6*6*6 = 1296. | exponents |
730,082 | arithmetic | easy | What is 893 - 802? | 91 | Subtract: 893 - 802 = 91. | basic_operations |
730,083 | arithmetic | easy | What is 193 + 381? | 574 | Add the two numbers: 193 + 381 = 574. | basic_operations |
730,084 | 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 |
730,085 | arithmetic | easy | What is 15477 divided by 37? Give answer to 2 decimal places. | 418.3 | Calculate 15477/ 37 = 418.2973, rounded to 2 decimals is 418.3. | division |
730,086 | statistics | easy | What is the mean (average) of 91, 73, 62, 63, 92? | 76.2 | Mean = sum/count. Sum = 91+73+62+63+92=381. Count=5. Mean=381/5=76.2. | mean |
730,087 | algebra | easy | Solve for x: 20x - 49 = 251 | 15 | Add 49 to both sides: 20x = 251+49=300. Then x = 300/20 = 15. | linear_equation |
730,088 | arithmetic | easy | What is 977 + 162? | 1139 | Add the two numbers: 977 + 162 = 1139. | basic_operations |
730,089 | 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 |
730,090 | word_problems | easy | If you have 49 dollars and you buy 2 more dollars, how many dollars do you have in total? | 51 | Add initial 49 plus bought 2: 49+2=51. | addition_word |
730,091 | fractions | medium | What is 15/2 + 12/5? Give as simplified fraction. | 99/10 | Common denominator 2*5=10. 15/2=75/10, 12/5=24/10. Sum = 99/10 = 99/10 simplified. | fraction_operations |
730,092 | statistics | easy | What is the mean (average) of 49, 60, 33? | 47.33 | Mean = sum/count. Sum = 49+60+33=142. Count=3. Mean=142/3=47.33. | mean |
730,093 | 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 |
730,094 | number_theory | medium | What is the LCM (least common multiple) of 21 and 63? | 63 | LCM = |21*63| / GCD(21,63). GCD=21, so LCM=1323/21=63. | lcm |
730,095 | arithmetic | easy | What is 92 * 43? | 3956 | Multiply: 92 * 43 = 3956. | basic_operations |
730,096 | arithmetic | easy | What is 101 divided by 66? Give answer to 2 decimal places. | 1.53 | Calculate 101/ 66 = 1.5303, rounded to 2 decimals is 1.53. | division |
730,097 | 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 |
730,098 | calculus | medium | What is the derivative of 7x^4 with respect to x? | 28x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^4] = 7*4*x^3 = 28x^3. | derivative |
730,099 | algebra | medium | Solve for x: x^2 + 5x - 14 = 0 | x = 2, -7 | Factor: (x - 2)(x - -7) = x^2 -(-5)x + -14 = 0. So x = 2 or -7. Check sum = -5, product = -14. | quadratic |
730,100 | arithmetic | easy | What is 26644 divided by 79? Give answer to 2 decimal places. | 337.27 | Calculate 26644/ 79 = 337.2658, rounded to 2 decimals is 337.27. | division |
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