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 |
|---|---|---|---|---|---|---|
729,601 | 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 |
729,602 | geometry | easy | Find the circumference of a circle with radius 34. Use pi=3.14159, round to 2 decimals. | 213.63 | Circumference = 2*pi*r = 2*3.14159*34 = 213.63. | circle_circum |
729,603 | arithmetic | easy | What is 88 + 86 * 79? Remember order of operations. | 6882 | Order of operations (PEMDAS): first 86*79=6794, then 88+6794=6882. | basic_operations |
729,604 | 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 |
729,605 | word_problems | easy | If you have 68 pencils and you buy 18 more pencils, how many pencils do you have in total? | 86 | Add initial 68 plus bought 18: 68+18=86. | addition_word |
729,606 | arithmetic | easy | What is 675 - 361? | 314 | Subtract: 675 - 361 = 314. | basic_operations |
729,607 | geometry | easy | Find the area of a rectangle with length 49 and width 91. | 4459 | Area = length * width = 49*91 = 4459. | rectangle_area |
729,608 | arithmetic | easy | What is 4097 / 17? | 241 | Divide: 4097 ÷ 17 = 241 because 17*241=4097. | division |
729,609 | arithmetic | easy | What is 51 + 86 * 92? Remember order of operations. | 7963 | Order of operations (PEMDAS): first 86*92=7912, then 51+7912=7963. | basic_operations |
729,610 | percentages | easy | What is 22% of 468? | 102.96 | Calculate 22/100 * 468 = 0.22*468 = 102.96. | percentages |
729,611 | arithmetic | easy | What is 344 + 408 * 67? Remember order of operations. | 27680 | Order of operations (PEMDAS): first 408*67=27336, then 344+27336=27680. | basic_operations |
729,612 | 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 |
729,613 | arithmetic | easy | What is 18966 / 87? | 218 | Divide: 18966 ÷ 87 = 218 because 87*218=18966. | division |
729,614 | fractions | medium | What is 10/14 + 1/18? Give as simplified fraction. | 97/126 | Common denominator 14*18=252. 10/14=180/252, 1/18=14/252. Sum = 194/252 = 97/126 simplified. | fraction_operations |
729,615 | word_problems | easy | If you have 7 pencils and you buy 13 more pencils, how many pencils do you have in total? | 20 | Add initial 7 plus bought 13: 7+13=20. | addition_word |
729,616 | fractions | medium | What is 2/19 - 20/19? Give as simplified fraction. | -18/19 | Common denominator 361. Numerator 38-380=-342. So -342/361 simplifies to -18/19. | fraction_operations |
729,617 | fractions | medium | What is 2/17 * 12/18? Give as simplified fraction. | 4/51 | Multiply numerators: 2*12=24. Denominators: 17*18=306. Simplify by gcd 6 to get 4/51. | fraction_operations |
729,618 | 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 |
729,619 | word_problems | easy | If you have 24 dollars and you buy 29 more dollars, how many dollars do you have in total? | 53 | Add initial 24 plus bought 29: 24+29=53. | addition_word |
729,620 | statistics | easy | What is the mean (average) of 47, 32, 86? | 55 | Mean = sum/count. Sum = 47+32+86=165. Count=3. Mean=165/3=55.0. | mean |
729,621 | algebra | easy | Solve for x: 1x + 40 = 47 | 7 | Subtract 40 from both sides: 1x = 47-40=7. Then divide by 1: x = 7/1 = 7. | linear_equation |
729,622 | word_problems | easy | If you have 20 books and you buy 29 more books, how many books do you have in total? | 49 | Add initial 20 plus bought 29: 20+29=49. | addition_word |
729,623 | exponents | easy | What is 12^4? | 20736 | 12^4 means multiply 12 by itself 4 times: 12*12*12*12 = 20736. | exponents |
729,624 | percentages | easy | What is 38% of 805? | 305.9 | Calculate 38/100 * 805 = 0.38*805 = 305.9. | percentages |
729,625 | arithmetic | easy | What is 1728 / 96? | 18 | Divide: 1728 ÷ 96 = 18 because 96*18=1728. | division |
729,626 | 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 |
729,627 | word_problems | easy | If you have 83 pencils and you buy 37 more pencils, how many pencils do you have in total? | 120 | Add initial 83 plus bought 37: 83+37=120. | addition_word |
729,628 | arithmetic | easy | What is 774 - 96? | 678 | Subtract: 774 - 96 = 678. | basic_operations |
729,629 | arithmetic | easy | What is 440 + 696 * 90? Remember order of operations. | 63080 | Order of operations (PEMDAS): first 696*90=62640, then 440+62640=63080. | basic_operations |
729,630 | word_problems | easy | If you have 18 apples and you buy 13 more apples, how many apples do you have in total? | 31 | Add initial 18 plus bought 13: 18+13=31. | addition_word |
729,631 | statistics | easy | What is the mean (average) of 73, 51, 18, 55, 34? | 46.2 | Mean = sum/count. Sum = 73+51+18+55+34=231. Count=5. Mean=231/5=46.2. | mean |
729,632 | roots | easy | What is the square root of 1225? | 35 | Find number that when squared gives 1225. 35*35=1225, so sqrt(1225)=35. | square_roots |
729,633 | roots | easy | What is the square root of 100? | 10 | Find number that when squared gives 100. 10*10=100, so sqrt(100)=10. | square_roots |
729,634 | statistics | easy | What is the mean (average) of 70, 16, 100, 40, 89? | 63 | Mean = sum/count. Sum = 70+16+100+40+89=315. Count=5. Mean=315/5=63.0. | mean |
729,635 | fractions | medium | What is 5/7 - 2/20? Give as simplified fraction. | 43/70 | Common denominator 140. Numerator 100-14=86. So 86/140 simplifies to 43/70. | fraction_operations |
729,636 | number_theory | medium | What is the GCD (greatest common divisor) of 50 and 13? | 1 | Find greatest number dividing both 50 and 13. Divisors common, greatest is 1. | gcd |
729,637 | statistics | easy | What is the mean (average) of 38, 32, 88, 95, 80? | 66.6 | Mean = sum/count. Sum = 38+32+88+95+80=333. Count=5. Mean=333/5=66.6. | mean |
729,638 | 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 |
729,639 | percentages | easy | What is 4% of 45? | 1.8 | Calculate 4/100 * 45 = 0.04*45 = 1.8. | percentages |
729,640 | 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 |
729,641 | percentages | easy | What is 26% of 950? | 247 | Calculate 26/100 * 950 = 0.26*950 = 247. | percentages |
729,642 | 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 |
729,643 | 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 |
729,644 | statistics | easy | What is the mean (average) of 55, 49, 22? | 42 | Mean = sum/count. Sum = 55+49+22=126. Count=3. Mean=126/3=42.0. | mean |
729,645 | percentages | easy | What is 79% of 877? | 692.83 | Calculate 79/100 * 877 = 0.79*877 = 692.83. | percentages |
729,646 | fractions | medium | What is 14/11 - 5/2? Give as simplified fraction. | -27/22 | Common denominator 22. Numerator 28-55=-27. So -27/22 simplifies to -27/22. | fraction_operations |
729,647 | roots | easy | What is the square root of 2401? | 49 | Find number that when squared gives 2401. 49*49=2401, so sqrt(2401)=49. | square_roots |
729,648 | arithmetic | easy | What is 671 + 662 * 26? Remember order of operations. | 17883 | Order of operations (PEMDAS): first 662*26=17212, then 671+17212=17883. | basic_operations |
729,649 | statistics | easy | What is the mean (average) of 56, 31, 62, 3? | 38 | Mean = sum/count. Sum = 56+31+62+3=152. Count=4. Mean=152/4=38.0. | mean |
729,650 | fractions | medium | What is 14/9 + 15/20? Give as simplified fraction. | 83/36 | Common denominator 9*20=180. 14/9=280/180, 15/20=135/180. Sum = 415/180 = 83/36 simplified. | fraction_operations |
729,651 | calculus | medium | What is the derivative of 7x^6 with respect to x? | 42x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^6] = 7*6*x^5 = 42x^5. | derivative |
729,652 | statistics | easy | What is the mean (average) of 3, 52, 85? | 46.67 | Mean = sum/count. Sum = 3+52+85=140. Count=3. Mean=140/3=46.67. | mean |
729,653 | statistics | easy | What is the mean (average) of 9, 82, 27? | 39.33 | Mean = sum/count. Sum = 9+82+27=118. Count=3. Mean=118/3=39.33. | mean |
729,654 | exponents | easy | What is 4^4? | 256 | 4^4 means multiply 4 by itself 4 times: 4*4*4*4 = 256. | exponents |
729,655 | algebra | medium | Solve for x: x^2 + 4x + 3 = 0 | x = -1, -3 | Factor: (x - -1)(x - -3) = x^2 -(-4)x + 3 = 0. So x = -1 or -3. Check sum = -4, product = 3. | quadratic |
729,656 | arithmetic | easy | What is 2923 / 37? | 79 | Divide: 2923 ÷ 37 = 79 because 37*79=2923. | division |
729,657 | arithmetic | easy | What is 20 + 39 * 89? Remember order of operations. | 3491 | Order of operations (PEMDAS): first 39*89=3471, then 20+3471=3491. | basic_operations |
729,658 | arithmetic | easy | What is 165 + 44? | 209 | Add the two numbers: 165 + 44 = 209. | basic_operations |
729,659 | number_theory | medium | What is the GCD (greatest common divisor) of 58 and 82? | 2 | Find greatest number dividing both 58 and 82. Divisors common, greatest is 2. | gcd |
729,660 | percentages | easy | What is 55% of 334? | 183.7 | Calculate 55/100 * 334 = 0.55*334 = 183.7. | percentages |
729,661 | number_theory | medium | What is the LCM (least common multiple) of 48 and 34? | 816 | LCM = |48*34| / GCD(48,34). GCD=2, so LCM=1632/2=816. | lcm |
729,662 | word_problems | easy | If you have 24 candies and you buy 35 more candies, how many candies do you have in total? | 59 | Add initial 24 plus bought 35: 24+35=59. | addition_word |
729,663 | arithmetic | easy | What is 967 - 193? | 774 | Subtract: 967 - 193 = 774. | basic_operations |
729,664 | calculus | medium | What is the derivative of 5x^5 with respect to x? | 25x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^5] = 5*5*x^4 = 25x^4. | derivative |
729,665 | 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 |
729,666 | number_theory | medium | What is the LCM (least common multiple) of 6 and 28? | 84 | LCM = |6*28| / GCD(6,28). GCD=2, so LCM=168/2=84. | lcm |
729,667 | algebra | easy | Solve for x: 14x - 15 = 209 | 16 | Add 15 to both sides: 14x = 209+15=224. Then x = 224/14 = 16. | linear_equation |
729,668 | word_problems | easy | If you have 65 dollars and you buy 8 more dollars, how many dollars do you have in total? | 73 | Add initial 65 plus bought 8: 65+8=73. | addition_word |
729,669 | arithmetic | easy | What is 277 + 244 * 70? Remember order of operations. | 17357 | Order of operations (PEMDAS): first 244*70=17080, then 277+17080=17357. | basic_operations |
729,670 | 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 |
729,671 | arithmetic | easy | What is 24375 / 65? | 375 | Divide: 24375 ÷ 65 = 375 because 65*375=24375. | division |
729,672 | arithmetic | easy | What is 30667 / 91? | 337 | Divide: 30667 ÷ 91 = 337 because 91*337=30667. | division |
729,673 | exponents | easy | What is 11^2? | 121 | 11^2 means multiply 11 by itself 2 times: 11*11 = 121. | exponents |
729,674 | word_problems | easy | If you have 46 pencils and you buy 37 more pencils, how many pencils do you have in total? | 83 | Add initial 46 plus bought 37: 46+37=83. | addition_word |
729,675 | 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 |
729,676 | algebra | easy | Solve for x: 12x + 18 = 138 | 10 | Subtract 18 from both sides: 12x = 138-18=120. Then divide by 12: x = 120/12 = 10. | linear_equation |
729,677 | percentages | easy | What is 12% of 32? | 3.84 | Calculate 12/100 * 32 = 0.12*32 = 3.84. | percentages |
729,678 | number_theory | medium | What is the GCD (greatest common divisor) of 74 and 69? | 1 | Find greatest number dividing both 74 and 69. Divisors common, greatest is 1. | gcd |
729,679 | algebra | easy | Solve for x: 8x + 21 = -139 | -20 | Subtract 21 from both sides: 8x = -139-21=-160. Then divide by 8: x = -160/8 = -20. | linear_equation |
729,680 | arithmetic | easy | What is 180 + 177 * 64? Remember order of operations. | 11508 | Order of operations (PEMDAS): first 177*64=11328, then 180+11328=11508. | basic_operations |
729,681 | arithmetic | easy | What is 94 * 57? | 5358 | Multiply: 94 * 57 = 5358. | basic_operations |
729,682 | arithmetic | easy | What is 935 - 346? | 589 | Subtract: 935 - 346 = 589. | basic_operations |
729,683 | 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 |
729,684 | statistics | easy | What is the mean (average) of 1, 21, 31, 36? | 22.25 | Mean = sum/count. Sum = 1+21+31+36=89. Count=4. Mean=89/4=22.25. | mean |
729,685 | arithmetic | easy | What is 27 * 92? | 2484 | Multiply: 27 * 92 = 2484. | basic_operations |
729,686 | algebra | easy | Solve for x: 6x - 50 = -164 | -19 | Add 50 to both sides: 6x = -164+50=-114. Then x = -114/6 = -19. | linear_equation |
729,687 | arithmetic | easy | What is 39 * 38? | 1482 | Multiply: 39 * 38 = 1482. | basic_operations |
729,688 | percentages | easy | What is 94% of 561? | 527.34 | Calculate 94/100 * 561 = 0.94*561 = 527.34. | percentages |
729,689 | fractions | medium | What is 17/10 + 16/10? Give as simplified fraction. | 33/10 | Common denominator 10*10=100. 17/10=170/100, 16/10=160/100. Sum = 330/100 = 33/10 simplified. | fraction_operations |
729,690 | number_theory | medium | What is the GCD (greatest common divisor) of 29 and 65? | 1 | Find greatest number dividing both 29 and 65. Divisors common, greatest is 1. | gcd |
729,691 | algebra | easy | Solve for x: 8x - 18 = -42 | -3 | Add 18 to both sides: 8x = -42+18=-24. Then x = -24/8 = -3. | linear_equation |
729,692 | calculus | medium | What is the derivative of 4x^3 with respect to x? | 12x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^3] = 4*3*x^2 = 12x^2. | derivative |
729,693 | 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 |
729,694 | percentages | easy | What is 17% of 298? | 50.66 | Calculate 17/100 * 298 = 0.17*298 = 50.66. | percentages |
729,695 | 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 |
729,696 | 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 |
729,697 | algebra | easy | Solve for x: 9x - 14 = 67 | 9 | Add 14 to both sides: 9x = 67+14=81. Then x = 81/9 = 9. | linear_equation |
729,698 | arithmetic | easy | What is 158 + 190 * 25? Remember order of operations. | 4908 | Order of operations (PEMDAS): first 190*25=4750, then 158+4750=4908. | basic_operations |
729,699 | exponents | easy | What is 4^3? | 64 | 4^3 means multiply 4 by itself 3 times: 4*4*4 = 64. | exponents |
729,700 | arithmetic | easy | What is 639 + 466 * 87? Remember order of operations. | 41181 | Order of operations (PEMDAS): first 466*87=40542, then 639+40542=41181. | basic_operations |
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