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 |
|---|---|---|---|---|---|---|
732,001 | percentages | easy | What is 57% of 140? | 79.8 | Calculate 57/100 * 140 = 0.57*140 = 79.8. | percentages |
732,002 | 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 |
732,003 | percentages | easy | What is 3% of 669? | 20.07 | Calculate 3/100 * 669 = 0.03*669 = 20.07. | percentages |
732,004 | arithmetic | easy | What is 982 + 370 * 30? Remember order of operations. | 12082 | Order of operations (PEMDAS): first 370*30=11100, then 982+11100=12082. | basic_operations |
732,005 | arithmetic | easy | What is 10545 / 57? | 185 | Divide: 10545 ÷ 57 = 185 because 57*185=10545. | division |
732,006 | 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 |
732,007 | algebra | easy | Solve for x: 14x + 34 = -134 | -12 | Subtract 34 from both sides: 14x = -134-34=-168. Then divide by 14: x = -168/14 = -12. | linear_equation |
732,008 | percentages | easy | What is 48% of 989? | 474.72 | Calculate 48/100 * 989 = 0.48*989 = 474.72. | percentages |
732,009 | percentages | easy | What is 18% of 554? | 99.72 | Calculate 18/100 * 554 = 0.18*554 = 99.72. | percentages |
732,010 | statistics | easy | What is the mean (average) of 7, 20, 54? | 27 | Mean = sum/count. Sum = 7+20+54=81. Count=3. Mean=81/3=27.0. | mean |
732,011 | number_theory | medium | What is the LCM (least common multiple) of 91 and 92? | 8372 | LCM = |91*92| / GCD(91,92). GCD=1, so LCM=8372/1=8372. | lcm |
732,012 | arithmetic | easy | What is 969 - 215? | 754 | Subtract: 969 - 215 = 754. | basic_operations |
732,013 | algebra | easy | Solve for x: 2x + 25 = -3 | -14 | Subtract 25 from both sides: 2x = -3-25=-28. Then divide by 2: x = -28/2 = -14. | linear_equation |
732,014 | arithmetic | easy | What is 921 + 584 * 11? Remember order of operations. | 7345 | Order of operations (PEMDAS): first 584*11=6424, then 921+6424=7345. | basic_operations |
732,015 | algebra | medium | Solve for x: x^2 + 9x = 0 | x = 0, -9 | Factor: (x - 0)(x - -9) = x^2 -(-9)x + 0 = 0. So x = 0 or -9. Check sum = -9, product = 0. | quadratic |
732,016 | arithmetic | easy | What is 617 + 157 * 84? Remember order of operations. | 13805 | Order of operations (PEMDAS): first 157*84=13188, then 617+13188=13805. | basic_operations |
732,017 | 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 |
732,018 | fractions | medium | What is 3/10 + 15/3? Give as simplified fraction. | 53/10 | Common denominator 10*3=30. 3/10=9/30, 15/3=150/30. Sum = 159/30 = 53/10 simplified. | fraction_operations |
732,019 | algebra | medium | Solve for x: x^2 + 13x + 40 = 0 | x = -8, -5 | Factor: (x - -8)(x - -5) = x^2 -(-13)x + 40 = 0. So x = -8 or -5. Check sum = -13, product = 40. | quadratic |
732,020 | arithmetic | easy | What is 95 * 69? | 6555 | Multiply: 95 * 69 = 6555. | basic_operations |
732,021 | algebra | easy | Solve for x: 8x + 8 = 104 | 12 | Subtract 8 from both sides: 8x = 104-8=96. Then divide by 8: x = 96/8 = 12. | linear_equation |
732,022 | 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 |
732,023 | exponents | easy | What is 6^3? | 216 | 6^3 means multiply 6 by itself 3 times: 6*6*6 = 216. | exponents |
732,024 | statistics | easy | What is the mean (average) of 64, 85, 56? | 68.33 | Mean = sum/count. Sum = 64+85+56=205. Count=3. Mean=205/3=68.33. | mean |
732,025 | algebra | easy | Solve for x: 1x + 47 = 28 | -19 | Subtract 47 from both sides: 1x = 28-47=-19. Then divide by 1: x = -19/1 = -19. | linear_equation |
732,026 | arithmetic | easy | What is 17160 / 60? | 286 | Divide: 17160 ÷ 60 = 286 because 60*286=17160. | division |
732,027 | arithmetic | easy | What is 16000 / 100? | 160 | Divide: 16000 ÷ 100 = 160 because 100*160=16000. | division |
732,028 | arithmetic | easy | What is 2462 divided by 64? Give answer to 2 decimal places. | 38.47 | Calculate 2462/ 64 = 38.4688, rounded to 2 decimals is 38.47. | division |
732,029 | algebra | easy | Solve for x: 5x - 19 = -79 | -12 | Add 19 to both sides: 5x = -79+19=-60. Then x = -60/5 = -12. | linear_equation |
732,030 | word_problems | easy | If you have 29 dollars and you buy 44 more dollars, how many dollars do you have in total? | 73 | Add initial 29 plus bought 44: 29+44=73. | addition_word |
732,031 | arithmetic | easy | What is 24024 / 52? | 462 | Divide: 24024 ÷ 52 = 462 because 52*462=24024. | division |
732,032 | roots | easy | What is the square root of 64? | 8 | Find number that when squared gives 64. 8*8=64, so sqrt(64)=8. | square_roots |
732,033 | arithmetic | easy | What is 48 + 5 * 98? Remember order of operations. | 538 | Order of operations (PEMDAS): first 5*98=490, then 48+490=538. | basic_operations |
732,034 | arithmetic | easy | What is 470 + 166? | 636 | Add the two numbers: 470 + 166 = 636. | basic_operations |
732,035 | 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 |
732,036 | roots | easy | What is the square root of 676? | 26 | Find number that when squared gives 676. 26*26=676, so sqrt(676)=26. | square_roots |
732,037 | calculus | medium | What is the derivative of 8x^4 with respect to x? | 32x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^4] = 8*4*x^3 = 32x^3. | derivative |
732,038 | 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 |
732,039 | calculus | medium | What is the derivative of 10x^7 with respect to x? | 70x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^7] = 10*7*x^6 = 70x^6. | derivative |
732,040 | fractions | medium | What is 15/12 * 5/20? Give as simplified fraction. | 5/16 | Multiply numerators: 15*5=75. Denominators: 12*20=240. Simplify by gcd 15 to get 5/16. | fraction_operations |
732,041 | percentages | easy | What is 85% of 705? | 599.25 | Calculate 85/100 * 705 = 0.85*705 = 599.25. | percentages |
732,042 | number_theory | medium | What is the LCM (least common multiple) of 82 and 76? | 3116 | LCM = |82*76| / GCD(82,76). GCD=2, so LCM=6232/2=3116. | lcm |
732,043 | algebra | medium | Solve for x: x^2 + 2x = 0 | x = -2, 0 | Factor: (x - -2)(x - 0) = x^2 -(-2)x + 0 = 0. So x = -2 or 0. Check sum = -2, product = 0. | quadratic |
732,044 | number_theory | medium | What is the LCM (least common multiple) of 9 and 51? | 153 | LCM = |9*51| / GCD(9,51). GCD=3, so LCM=459/3=153. | lcm |
732,045 | geometry | easy | Find the area of a circle with radius 30. Use pi=3.14159, round to 2 decimals. | 2827.43 | Area = pi*r^2 = 3.14159*30^2 = 3.14159*900 = 2827.43. | circle_area |
732,046 | arithmetic | easy | What is 786 - 414? | 372 | Subtract: 786 - 414 = 372. | basic_operations |
732,047 | arithmetic | easy | What is 91 * 4? | 364 | Multiply: 91 * 4 = 364. | basic_operations |
732,048 | arithmetic | easy | What is 658 + 942? | 1600 | Add the two numbers: 658 + 942 = 1600. | basic_operations |
732,049 | fractions | medium | What is 18/18 + 4/10? Give as simplified fraction. | 7/5 | Common denominator 18*10=180. 18/18=180/180, 4/10=72/180. Sum = 252/180 = 7/5 simplified. | fraction_operations |
732,050 | arithmetic | easy | What is 37 + 23 * 57? Remember order of operations. | 1348 | Order of operations (PEMDAS): first 23*57=1311, then 37+1311=1348. | basic_operations |
732,051 | statistics | easy | What is the mean (average) of 28, 10, 6, 69? | 28.25 | Mean = sum/count. Sum = 28+10+6+69=113. Count=4. Mean=113/4=28.25. | mean |
732,052 | 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 |
732,053 | arithmetic | easy | What is 46 * 12? | 552 | Multiply: 46 * 12 = 552. | basic_operations |
732,054 | number_theory | medium | What is the LCM (least common multiple) of 58 and 78? | 2262 | LCM = |58*78| / GCD(58,78). GCD=2, so LCM=4524/2=2262. | lcm |
732,055 | number_theory | medium | What is the GCD (greatest common divisor) of 94 and 75? | 1 | Find greatest number dividing both 94 and 75. Divisors common, greatest is 1. | gcd |
732,056 | calculus | medium | What is the derivative of 9x^7 with respect to x? | 63x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^7] = 9*7*x^6 = 63x^6. | derivative |
732,057 | fractions | medium | What is 14/10 + 11/18? Give as simplified fraction. | 181/90 | Common denominator 10*18=180. 14/10=252/180, 11/18=110/180. Sum = 362/180 = 181/90 simplified. | fraction_operations |
732,058 | arithmetic | easy | What is 25 + 67 * 40? Remember order of operations. | 2705 | Order of operations (PEMDAS): first 67*40=2680, then 25+2680=2705. | basic_operations |
732,059 | algebra | medium | Solve for x: x^2 + 16x + 64 = 0 | x = -8 | Factor as (x - -8)^2 = 0, so root is -8 (double root). Sum of roots = -16, product = 64. | quadratic |
732,060 | geometry | easy | Find the area of a triangle with base 71 and height 96. | 3408 | Area = 0.5*base*height = 0.5*71*96 = 3408. | triangle_area |
732,061 | algebra | medium | Solve for x: x^2 - 14x + 40 = 0 | x = 4, 10 | Factor: (x - 4)(x - 10) = x^2 -(14)x + 40 = 0. So x = 4 or 10. Check sum = 14, product = 40. | quadratic |
732,062 | number_theory | medium | What is the LCM (least common multiple) of 11 and 10? | 110 | LCM = |11*10| / GCD(11,10). GCD=1, so LCM=110/1=110. | lcm |
732,063 | exponents | easy | What is 5^2? | 25 | 5^2 means multiply 5 by itself 2 times: 5*5 = 25. | exponents |
732,064 | geometry | easy | Find the perimeter of a rectangle with length 26 and width 30. | 112 | Perimeter = 2*(length+width) = 2*(26+30) = 2*56 = 112. | rectangle_perim |
732,065 | exponents | easy | What is 7^2? | 49 | 7^2 means multiply 7 by itself 2 times: 7*7 = 49. | exponents |
732,066 | 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 |
732,067 | calculus | medium | What is the derivative of 7x^2 with respect to x? | 14x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^2] = 7*2*x^1 = 14x. | derivative |
732,068 | geometry | easy | Find the area of a triangle with base 23 and height 65. | 747.5 | Area = 0.5*base*height = 0.5*23*65 = 747.5. | triangle_area |
732,069 | exponents | easy | What is 7^3? | 343 | 7^3 means multiply 7 by itself 3 times: 7*7*7 = 343. | exponents |
732,070 | arithmetic | easy | What is 655 - 80? | 575 | Subtract: 655 - 80 = 575. | basic_operations |
732,071 | algebra | medium | Solve for x: x^2 + 5x + 4 = 0 | x = -4, -1 | Factor: (x - -4)(x - -1) = x^2 -(-5)x + 4 = 0. So x = -4 or -1. Check sum = -5, product = 4. | quadratic |
732,072 | percentages | easy | What is 40% of 175? | 70 | Calculate 40/100 * 175 = 0.4*175 = 70. | percentages |
732,073 | exponents | easy | What is 6^4? | 1296 | 6^4 means multiply 6 by itself 4 times: 6*6*6*6 = 1296. | exponents |
732,074 | word_problems | easy | If you have 18 dollars and you buy 6 more dollars, how many dollars do you have in total? | 24 | Add initial 18 plus bought 6: 18+6=24. | addition_word |
732,075 | arithmetic | easy | What is 43992 / 94? | 468 | Divide: 43992 ÷ 94 = 468 because 94*468=43992. | division |
732,076 | 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 |
732,077 | algebra | medium | Solve for x: x^2 - 11x + 10 = 0 | x = 1, 10 | Factor: (x - 1)(x - 10) = x^2 -(11)x + 10 = 0. So x = 1 or 10. Check sum = 11, product = 10. | quadratic |
732,078 | 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 |
732,079 | exponents | easy | What is 12^3? | 1728 | 12^3 means multiply 12 by itself 3 times: 12*12*12 = 1728. | exponents |
732,080 | algebra | medium | Solve for x: x^2 + 2x - 35 = 0 | x = 5, -7 | Factor: (x - 5)(x - -7) = x^2 -(-2)x + -35 = 0. So x = 5 or -7. Check sum = -2, product = -35. | quadratic |
732,081 | arithmetic | easy | What is 874 + 270 * 93? Remember order of operations. | 25984 | Order of operations (PEMDAS): first 270*93=25110, then 874+25110=25984. | basic_operations |
732,082 | arithmetic | easy | What is 15885 / 45? | 353 | Divide: 15885 ÷ 45 = 353 because 45*353=15885. | division |
732,083 | exponents | easy | What is 5^2? | 25 | 5^2 means multiply 5 by itself 2 times: 5*5 = 25. | exponents |
732,084 | number_theory | medium | What is the GCD (greatest common divisor) of 25 and 49? | 1 | Find greatest number dividing both 25 and 49. Divisors common, greatest is 1. | gcd |
732,085 | arithmetic | easy | What is 9 + 69 * 48? Remember order of operations. | 3321 | Order of operations (PEMDAS): first 69*48=3312, then 9+3312=3321. | basic_operations |
732,086 | 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 |
732,087 | exponents | easy | What is 8^5? | 32768 | 8^5 means multiply 8 by itself 5 times: 8*8*8*8*8 = 32768. | exponents |
732,088 | geometry | easy | Find the area of a triangle with base 33 and height 47. | 775.5 | Area = 0.5*base*height = 0.5*33*47 = 775.5. | triangle_area |
732,089 | number_theory | medium | What is the LCM (least common multiple) of 51 and 16? | 816 | LCM = |51*16| / GCD(51,16). GCD=1, so LCM=816/1=816. | lcm |
732,090 | 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 |
732,091 | statistics | easy | What is the mean (average) of 7, 95, 7? | 36.33 | Mean = sum/count. Sum = 7+95+7=109. Count=3. Mean=109/3=36.33. | mean |
732,092 | arithmetic | easy | What is 17501 / 37? | 473 | Divide: 17501 ÷ 37 = 473 because 37*473=17501. | division |
732,093 | number_theory | medium | What is the LCM (least common multiple) of 23 and 36? | 828 | LCM = |23*36| / GCD(23,36). GCD=1, so LCM=828/1=828. | lcm |
732,094 | algebra | easy | Solve for x: 18x - 2 = -272 | -15 | Add 2 to both sides: 18x = -272+2=-270. Then x = -270/18 = -15. | linear_equation |
732,095 | word_problems | easy | If you have 25 books and you buy 12 more books, how many books do you have in total? | 37 | Add initial 25 plus bought 12: 25+12=37. | addition_word |
732,096 | 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 |
732,097 | arithmetic | easy | What is 32 * 12? | 384 | Multiply: 32 * 12 = 384. | basic_operations |
732,098 | percentages | easy | What is 9% of 411? | 36.99 | Calculate 9/100 * 411 = 0.09*411 = 36.99. | percentages |
732,099 | percentages | easy | What is 42% of 9? | 3.78 | Calculate 42/100 * 9 = 0.42*9 = 3.78. | percentages |
732,100 | fractions | medium | What is 14/9 + 11/4? Give as simplified fraction. | 155/36 | Common denominator 9*4=36. 14/9=56/36, 11/4=99/36. Sum = 155/36 = 155/36 simplified. | fraction_operations |
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