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 |
|---|---|---|---|---|---|---|
5,001 | arithmetic | easy | What is 151 + 748 * 15? Remember order of operations. | 11371 | Order of operations (PEMDAS): first 748*15=11220, then 151+11220=11371. | basic_operations |
5,002 | geometry | easy | Find the perimeter of a rectangle with length 95 and width 98. | 386 | Perimeter = 2*(length+width) = 2*(95+98) = 2*193 = 386. | rectangle_perim |
5,003 | statistics | easy | What is the mean (average) of 30, 56, 45, 90? | 55.25 | Mean = sum/count. Sum = 30+56+45+90=221. Count=4. Mean=221/4=55.25. | mean |
5,004 | calculus | medium | What is the derivative of 9x^8 with respect to x? | 72x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^8] = 9*8*x^7 = 72x^7. | derivative |
5,005 | arithmetic | easy | What is 22 * 48? | 1056 | Multiply: 22 * 48 = 1056. | basic_operations |
5,006 | algebra | medium | Solve for x: x^2 + 7x + 6 = 0 | x = -1, -6 | Factor: (x - -1)(x - -6) = x^2 -(-7)x + 6 = 0. So x = -1 or -6. Check sum = -7, product = 6. | quadratic |
5,007 | arithmetic | easy | What is 24882 / 87? | 286 | Divide: 24882 ÷ 87 = 286 because 87*286=24882. | division |
5,008 | geometry | easy | Find the area of a circle with radius 49. Use pi=3.14159, round to 2 decimals. | 7542.96 | Area = pi*r^2 = 3.14159*49^2 = 3.14159*2401 = 7542.96. | circle_area |
5,009 | geometry | easy | Find the area of a rectangle with length 5 and width 87. | 435 | Area = length * width = 5*87 = 435. | rectangle_area |
5,010 | 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 |
5,011 | exponents | easy | What is 12^4? | 20736 | 12^4 means multiply 12 by itself 4 times: 12*12*12*12 = 20736. | exponents |
5,012 | exponents | easy | What is 12^5? | 248832 | 12^5 means multiply 12 by itself 5 times: 12*12*12*12*12 = 248832. | exponents |
5,013 | 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 |
5,014 | algebra | easy | Solve for x: 7x - 41 = -132 | -13 | Add 41 to both sides: 7x = -132+41=-91. Then x = -91/7 = -13. | linear_equation |
5,015 | algebra | easy | Solve for x: 7x - 31 = 25 | 8 | Add 31 to both sides: 7x = 25+31=56. Then x = 56/7 = 8. | linear_equation |
5,016 | exponents | easy | What is 10^5? | 100000 | 10^5 means multiply 10 by itself 5 times: 10*10*10*10*10 = 100000. | exponents |
5,017 | arithmetic | easy | What is 462 - 449? | 13 | Subtract: 462 - 449 = 13. | basic_operations |
5,018 | percentages | easy | What is 86% of 301? | 258.86 | Calculate 86/100 * 301 = 0.86*301 = 258.86. | percentages |
5,019 | algebra | medium | Solve for x: x^2 - 25 = 0 | x = 5, -5 | Factor: (x - 5)(x - -5) = x^2 -(0)x + -25 = 0. So x = 5 or -5. Check sum = 0, product = -25. | quadratic |
5,020 | arithmetic | easy | What is 49 + 88 * 72? Remember order of operations. | 6385 | Order of operations (PEMDAS): first 88*72=6336, then 49+6336=6385. | basic_operations |
5,021 | arithmetic | easy | What is 2 * 84? | 168 | Multiply: 2 * 84 = 168. | basic_operations |
5,022 | arithmetic | easy | What is 622 + 803? | 1425 | Add the two numbers: 622 + 803 = 1425. | basic_operations |
5,023 | geometry | easy | Find the area of a circle with radius 46. Use pi=3.14159, round to 2 decimals. | 6647.61 | Area = pi*r^2 = 3.14159*46^2 = 3.14159*2116 = 6647.61. | circle_area |
5,024 | fractions | medium | What is 2/14 - 20/9? Give as simplified fraction. | -131/63 | Common denominator 126. Numerator 18-280=-262. So -262/126 simplifies to -131/63. | fraction_operations |
5,025 | algebra | easy | Solve for x: 9x + 29 = -25 | -6 | Subtract 29 from both sides: 9x = -25-29=-54. Then divide by 9: x = -54/9 = -6. | linear_equation |
5,026 | roots | easy | What is the square root of 225? | 15 | Find number that when squared gives 225. 15*15=225, so sqrt(225)=15. | square_roots |
5,027 | exponents | easy | What is 2^2? | 4 | 2^2 means multiply 2 by itself 2 times: 2*2 = 4. | exponents |
5,028 | arithmetic | easy | What is 2463 divided by 67? Give answer to 2 decimal places. | 36.76 | Calculate 2463/ 67 = 36.7612, rounded to 2 decimals is 36.76. | division |
5,029 | statistics | easy | What is the mean (average) of 37, 66, 9, 55, 45? | 42.4 | Mean = sum/count. Sum = 37+66+9+55+45=212. Count=5. Mean=212/5=42.4. | mean |
5,030 | algebra | medium | Solve for x: x^2 + 4x + 4 = 0 | x = -2 | Factor as (x - -2)^2 = 0, so root is -2 (double root). Sum of roots = -4, product = 4. | quadratic |
5,031 | geometry | easy | Find the area of a circle with radius 17. Use pi=3.14159, round to 2 decimals. | 907.92 | Area = pi*r^2 = 3.14159*17^2 = 3.14159*289 = 907.92. | circle_area |
5,032 | geometry | easy | Find the circumference of a circle with radius 4. Use pi=3.14159, round to 2 decimals. | 25.13 | Circumference = 2*pi*r = 2*3.14159*4 = 25.13. | circle_circum |
5,033 | fractions | medium | What is 18/13 * 3/17? Give as simplified fraction. | 54/221 | Multiply numerators: 18*3=54. Denominators: 13*17=221. Simplify by gcd 1 to get 54/221. | fraction_operations |
5,034 | fractions | medium | What is 15/19 * 4/2? Give as simplified fraction. | 30/19 | Multiply numerators: 15*4=60. Denominators: 19*2=38. Simplify by gcd 2 to get 30/19. | fraction_operations |
5,035 | 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 |
5,036 | arithmetic | easy | What is 5500 / 20? | 275 | Divide: 5500 ÷ 20 = 275 because 20*275=5500. | division |
5,037 | calculus | medium | What is the derivative of 10x^8 with respect to x? | 80x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^8] = 10*8*x^7 = 80x^7. | derivative |
5,038 | 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 |
5,039 | algebra | easy | Solve for x: 20x - 43 = -63 | -1 | Add 43 to both sides: 20x = -63+43=-20. Then x = -20/20 = -1. | linear_equation |
5,040 | roots | easy | What is the square root of 961? | 31 | Find number that when squared gives 961. 31*31=961, so sqrt(961)=31. | square_roots |
5,041 | algebra | easy | Solve for x: 16x - 37 = -85 | -3 | Add 37 to both sides: 16x = -85+37=-48. Then x = -48/16 = -3. | linear_equation |
5,042 | word_problems | easy | If you have 92 dollars and you buy 9 more dollars, how many dollars do you have in total? | 101 | Add initial 92 plus bought 9: 92+9=101. | addition_word |
5,043 | calculus | medium | What is the derivative of 1x^3 with respect to x? | 3x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^3] = 1*3*x^2 = 3x^2. | derivative |
5,044 | arithmetic | easy | What is 96 * 49? | 4704 | Multiply: 96 * 49 = 4704. | basic_operations |
5,045 | algebra | medium | Solve for x: x^2 + 8x + 12 = 0 | x = -2, -6 | Factor: (x - -2)(x - -6) = x^2 -(-8)x + 12 = 0. So x = -2 or -6. Check sum = -8, product = 12. | quadratic |
5,046 | fractions | medium | What is 18/9 + 19/16? Give as simplified fraction. | 51/16 | Common denominator 9*16=144. 18/9=288/144, 19/16=171/144. Sum = 459/144 = 51/16 simplified. | fraction_operations |
5,047 | percentages | easy | What is 31% of 582? | 180.42 | Calculate 31/100 * 582 = 0.31*582 = 180.42. | percentages |
5,048 | arithmetic | easy | What is 10504 divided by 21? Give answer to 2 decimal places. | 500.19 | Calculate 10504/ 21 = 500.1905, rounded to 2 decimals is 500.19. | division |
5,049 | arithmetic | easy | What is 27 * 23? | 621 | Multiply: 27 * 23 = 621. | basic_operations |
5,050 | arithmetic | easy | What is 729 + 592 * 72? Remember order of operations. | 43353 | Order of operations (PEMDAS): first 592*72=42624, then 729+42624=43353. | basic_operations |
5,051 | arithmetic | easy | What is 2926 / 7? | 418 | Divide: 2926 ÷ 7 = 418 because 7*418=2926. | division |
5,052 | algebra | medium | Solve for x: x^2 + 8x + 15 = 0 | x = -3, -5 | Factor: (x - -3)(x - -5) = x^2 -(-8)x + 15 = 0. So x = -3 or -5. Check sum = -8, product = 15. | quadratic |
5,053 | arithmetic | easy | What is 50 * 60? | 3000 | Multiply: 50 * 60 = 3000. | basic_operations |
5,054 | arithmetic | easy | What is 3263 divided by 7? Give answer to 2 decimal places. | 466.14 | Calculate 3263/ 7 = 466.1429, rounded to 2 decimals is 466.14. | division |
5,055 | 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 |
5,056 | arithmetic | easy | What is 838 - 303? | 535 | Subtract: 838 - 303 = 535. | basic_operations |
5,057 | arithmetic | easy | What is 296 + 64? | 360 | Add the two numbers: 296 + 64 = 360. | basic_operations |
5,058 | exponents | easy | What is 7^3? | 343 | 7^3 means multiply 7 by itself 3 times: 7*7*7 = 343. | exponents |
5,059 | arithmetic | easy | What is 604 + 523? | 1127 | Add the two numbers: 604 + 523 = 1127. | basic_operations |
5,060 | geometry | easy | Find the circumference of a circle with radius 49. Use pi=3.14159, round to 2 decimals. | 307.88 | Circumference = 2*pi*r = 2*3.14159*49 = 307.88. | circle_circum |
5,061 | algebra | easy | Solve for x: 7x - 10 = -17 | -1 | Add 10 to both sides: 7x = -17+10=-7. Then x = -7/7 = -1. | linear_equation |
5,062 | 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 |
5,063 | roots | easy | What is the square root of 1936? | 44 | Find number that when squared gives 1936. 44*44=1936, so sqrt(1936)=44. | square_roots |
5,064 | arithmetic | easy | What is 12 / 6? | 2 | Divide: 12 ÷ 6 = 2 because 6*2=12. | division |
5,065 | word_problems | easy | If you have 56 apples and you buy 12 more apples, how many apples do you have in total? | 68 | Add initial 56 plus bought 12: 56+12=68. | addition_word |
5,066 | number_theory | medium | What is the LCM (least common multiple) of 36 and 43? | 1548 | LCM = |36*43| / GCD(36,43). GCD=1, so LCM=1548/1=1548. | lcm |
5,067 | word_problems | easy | If you have 14 apples and you buy 22 more apples, how many apples do you have in total? | 36 | Add initial 14 plus bought 22: 14+22=36. | addition_word |
5,068 | arithmetic | easy | What is 447 - 444? | 3 | Subtract: 447 - 444 = 3. | basic_operations |
5,069 | arithmetic | easy | What is 76 - 14? | 62 | Subtract: 76 - 14 = 62. | basic_operations |
5,070 | exponents | easy | What is 3^2? | 9 | 3^2 means multiply 3 by itself 2 times: 3*3 = 9. | exponents |
5,071 | percentages | easy | What is 37% of 2? | 0.74 | Calculate 37/100 * 2 = 0.37*2 = 0.74. | percentages |
5,072 | word_problems | easy | If you have 74 apples and you buy 21 more apples, how many apples do you have in total? | 95 | Add initial 74 plus bought 21: 74+21=95. | addition_word |
5,073 | 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 |
5,074 | geometry | easy | Find the area of a triangle with base 61 and height 6. | 183 | Area = 0.5*base*height = 0.5*61*6 = 183. | triangle_area |
5,075 | arithmetic | easy | What is 377 + 792? | 1169 | Add the two numbers: 377 + 792 = 1169. | basic_operations |
5,076 | fractions | medium | What is 10/19 * 5/14? Give as simplified fraction. | 25/133 | Multiply numerators: 10*5=50. Denominators: 19*14=266. Simplify by gcd 2 to get 25/133. | fraction_operations |
5,077 | calculus | medium | What is the derivative of 7x^3 with respect to x? | 21x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^3] = 7*3*x^2 = 21x^2. | derivative |
5,078 | word_problems | easy | If you have 6 books and you buy 34 more books, how many books do you have in total? | 40 | Add initial 6 plus bought 34: 6+34=40. | addition_word |
5,079 | 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 |
5,080 | arithmetic | easy | What is 16846 divided by 62? Give answer to 2 decimal places. | 271.71 | Calculate 16846/ 62 = 271.7097, rounded to 2 decimals is 271.71. | division |
5,081 | arithmetic | easy | What is 55 * 24? | 1320 | Multiply: 55 * 24 = 1320. | basic_operations |
5,082 | arithmetic | easy | What is 584 + 466? | 1050 | Add the two numbers: 584 + 466 = 1050. | basic_operations |
5,083 | percentages | easy | What is 17% of 23? | 3.91 | Calculate 17/100 * 23 = 0.17*23 = 3.91. | percentages |
5,084 | arithmetic | easy | What is 442 - 136? | 306 | Subtract: 442 - 136 = 306. | basic_operations |
5,085 | algebra | medium | Solve for x: x^2 + 8x - 20 = 0 | x = 2, -10 | Factor: (x - 2)(x - -10) = x^2 -(-8)x + -20 = 0. So x = 2 or -10. Check sum = -8, product = -20. | quadratic |
5,086 | exponents | easy | What is 3^2? | 9 | 3^2 means multiply 3 by itself 2 times: 3*3 = 9. | exponents |
5,087 | number_theory | medium | What is the LCM (least common multiple) of 18 and 10? | 90 | LCM = |18*10| / GCD(18,10). GCD=2, so LCM=180/2=90. | lcm |
5,088 | number_theory | medium | What is the LCM (least common multiple) of 43 and 66? | 2838 | LCM = |43*66| / GCD(43,66). GCD=1, so LCM=2838/1=2838. | lcm |
5,089 | arithmetic | easy | What is 15000 / 60? | 250 | Divide: 15000 ÷ 60 = 250 because 60*250=15000. | division |
5,090 | arithmetic | easy | What is 766 + 688 * 18? Remember order of operations. | 13150 | Order of operations (PEMDAS): first 688*18=12384, then 766+12384=13150. | basic_operations |
5,091 | algebra | medium | Solve for x: x^2 + 15x + 56 = 0 | x = -8, -7 | Factor: (x - -8)(x - -7) = x^2 -(-15)x + 56 = 0. So x = -8 or -7. Check sum = -15, product = 56. | quadratic |
5,092 | algebra | easy | Solve for x: 9x - 39 = 123 | 18 | Add 39 to both sides: 9x = 123+39=162. Then x = 162/9 = 18. | linear_equation |
5,093 | calculus | medium | What is the derivative of 7x^3 with respect to x? | 21x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^3] = 7*3*x^2 = 21x^2. | derivative |
5,094 | geometry | easy | Find the perimeter of a rectangle with length 21 and width 19. | 80 | Perimeter = 2*(length+width) = 2*(21+19) = 2*40 = 80. | rectangle_perim |
5,095 | statistics | easy | What is the mean (average) of 66, 76, 10, 58? | 52.5 | Mean = sum/count. Sum = 66+76+10+58=210. Count=4. Mean=210/4=52.5. | mean |
5,096 | arithmetic | easy | What is 94 + 47 * 34? Remember order of operations. | 1692 | Order of operations (PEMDAS): first 47*34=1598, then 94+1598=1692. | basic_operations |
5,097 | algebra | easy | Solve for x: 4x + 20 = 28 | 2 | Subtract 20 from both sides: 4x = 28-20=8. Then divide by 4: x = 8/4 = 2. | linear_equation |
5,098 | exponents | easy | What is 7^5? | 16807 | 7^5 means multiply 7 by itself 5 times: 7*7*7*7*7 = 16807. | exponents |
5,099 | arithmetic | easy | What is 17 * 1? | 17 | Multiply: 17 * 1 = 17. | basic_operations |
5,100 | algebra | easy | Solve for x: 5x - 4 = 51 | 11 | Add 4 to both sides: 5x = 51+4=55. Then x = 55/5 = 11. | linear_equation |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.