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 |
|---|---|---|---|---|---|---|
732,601 | number_theory | medium | What is the GCD (greatest common divisor) of 41 and 23? | 1 | Find greatest number dividing both 41 and 23. Divisors common, greatest is 1. | gcd |
732,602 | algebra | medium | Solve for x: x^2 - 1x - 56 = 0 | x = -7, 8 | Factor: (x - -7)(x - 8) = x^2 -(1)x + -56 = 0. So x = -7 or 8. Check sum = 1, product = -56. | quadratic |
732,603 | arithmetic | easy | What is 445 + 993? | 1438 | Add the two numbers: 445 + 993 = 1438. | basic_operations |
732,604 | geometry | easy | Find the area of a circle with radius 11. Use pi=3.14159, round to 2 decimals. | 380.13 | Area = pi*r^2 = 3.14159*11^2 = 3.14159*121 = 380.13. | circle_area |
732,605 | roots | easy | What is the square root of 1764? | 42 | Find number that when squared gives 1764. 42*42=1764, so sqrt(1764)=42. | square_roots |
732,606 | arithmetic | easy | What is 420 - 30? | 390 | Subtract: 420 - 30 = 390. | basic_operations |
732,607 | percentages | easy | What is 3% of 224? | 6.72 | Calculate 3/100 * 224 = 0.03*224 = 6.72. | percentages |
732,608 | 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 |
732,609 | exponents | easy | What is 9^3? | 729 | 9^3 means multiply 9 by itself 3 times: 9*9*9 = 729. | exponents |
732,610 | calculus | medium | What is the derivative of 8x^5 with respect to x? | 40x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^5] = 8*5*x^4 = 40x^4. | derivative |
732,611 | calculus | medium | What is the derivative of 8x^3 with respect to x? | 24x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^3] = 8*3*x^2 = 24x^2. | derivative |
732,612 | algebra | easy | Solve for x: 7x - 3 = 32 | 5 | Add 3 to both sides: 7x = 32+3=35. Then x = 35/7 = 5. | linear_equation |
732,613 | arithmetic | easy | What is 21628 divided by 48? Give answer to 2 decimal places. | 450.58 | Calculate 21628/ 48 = 450.5833, rounded to 2 decimals is 450.58. | division |
732,614 | 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 |
732,615 | number_theory | medium | What is the LCM (least common multiple) of 52 and 10? | 260 | LCM = |52*10| / GCD(52,10). GCD=2, so LCM=520/2=260. | lcm |
732,616 | arithmetic | easy | What is 705 - 458? | 247 | Subtract: 705 - 458 = 247. | basic_operations |
732,617 | statistics | easy | What is the mean (average) of 40, 89, 71? | 66.67 | Mean = sum/count. Sum = 40+89+71=200. Count=3. Mean=200/3=66.67. | mean |
732,618 | arithmetic | easy | What is 691 + 473? | 1164 | Add the two numbers: 691 + 473 = 1164. | basic_operations |
732,619 | 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 |
732,620 | geometry | easy | Find the perimeter of a rectangle with length 41 and width 85. | 252 | Perimeter = 2*(length+width) = 2*(41+85) = 2*126 = 252. | rectangle_perim |
732,621 | statistics | easy | What is the mean (average) of 77, 81, 57, 65, 16? | 59.2 | Mean = sum/count. Sum = 77+81+57+65+16=296. Count=5. Mean=296/5=59.2. | mean |
732,622 | arithmetic | easy | What is 434 + 49 * 58? Remember order of operations. | 3276 | Order of operations (PEMDAS): first 49*58=2842, then 434+2842=3276. | basic_operations |
732,623 | algebra | medium | Solve for x: x^2 + 10x + 25 = 0 | x = -5 | Factor as (x - -5)^2 = 0, so root is -5 (double root). Sum of roots = -10, product = 25. | quadratic |
732,624 | arithmetic | easy | What is 2 * 95? | 190 | Multiply: 2 * 95 = 190. | basic_operations |
732,625 | 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 |
732,626 | 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 |
732,627 | percentages | easy | What is 82% of 203? | 166.46 | Calculate 82/100 * 203 = 0.82*203 = 166.46. | percentages |
732,628 | 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 |
732,629 | statistics | easy | What is the mean (average) of 5, 73, 53, 9, 76? | 43.2 | Mean = sum/count. Sum = 5+73+53+9+76=216. Count=5. Mean=216/5=43.2. | mean |
732,630 | arithmetic | easy | What is 951 - 385? | 566 | Subtract: 951 - 385 = 566. | basic_operations |
732,631 | 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 |
732,632 | number_theory | medium | What is the LCM (least common multiple) of 36 and 68? | 612 | LCM = |36*68| / GCD(36,68). GCD=4, so LCM=2448/4=612. | lcm |
732,633 | number_theory | medium | What is the GCD (greatest common divisor) of 81 and 77? | 1 | Find greatest number dividing both 81 and 77. Divisors common, greatest is 1. | gcd |
732,634 | fractions | medium | What is 11/6 * 1/12? Give as simplified fraction. | 11/72 | Multiply numerators: 11*1=11. Denominators: 6*12=72. Simplify by gcd 1 to get 11/72. | fraction_operations |
732,635 | arithmetic | easy | What is 790 / 5? | 158 | Divide: 790 ÷ 5 = 158 because 5*158=790. | division |
732,636 | calculus | medium | What is the derivative of 9x^4 with respect to x? | 36x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^4] = 9*4*x^3 = 36x^3. | derivative |
732,637 | geometry | easy | Find the area of a circle with radius 33. Use pi=3.14159, round to 2 decimals. | 3421.19 | Area = pi*r^2 = 3.14159*33^2 = 3.14159*1089 = 3421.19. | circle_area |
732,638 | geometry | easy | Find the area of a circle with radius 24. Use pi=3.14159, round to 2 decimals. | 1809.56 | Area = pi*r^2 = 3.14159*24^2 = 3.14159*576 = 1809.56. | circle_area |
732,639 | fractions | medium | What is 15/5 - 8/19? Give as simplified fraction. | 49/19 | Common denominator 95. Numerator 285-40=245. So 245/95 simplifies to 49/19. | fraction_operations |
732,640 | algebra | easy | Solve for x: 14x + 18 = -220 | -17 | Subtract 18 from both sides: 14x = -220-18=-238. Then divide by 14: x = -238/14 = -17. | linear_equation |
732,641 | word_problems | easy | If you have 73 apples and you buy 32 more apples, how many apples do you have in total? | 105 | Add initial 73 plus bought 32: 73+32=105. | addition_word |
732,642 | roots | easy | What is the square root of 900? | 30 | Find number that when squared gives 900. 30*30=900, so sqrt(900)=30. | square_roots |
732,643 | statistics | easy | What is the mean (average) of 7, 57, 30, 43? | 34.25 | Mean = sum/count. Sum = 7+57+30+43=137. Count=4. Mean=137/4=34.25. | mean |
732,644 | geometry | easy | Find the circumference of a circle with radius 32. Use pi=3.14159, round to 2 decimals. | 201.06 | Circumference = 2*pi*r = 2*3.14159*32 = 201.06. | circle_circum |
732,645 | statistics | easy | What is the mean (average) of 63, 38, 76, 55? | 58 | Mean = sum/count. Sum = 63+38+76+55=232. Count=4. Mean=232/4=58.0. | mean |
732,646 | fractions | medium | What is 6/14 - 6/19? Give as simplified fraction. | 15/133 | Common denominator 266. Numerator 114-84=30. So 30/266 simplifies to 15/133. | fraction_operations |
732,647 | arithmetic | easy | What is 541 - 136? | 405 | Subtract: 541 - 136 = 405. | basic_operations |
732,648 | arithmetic | easy | What is 140 + 835? | 975 | Add the two numbers: 140 + 835 = 975. | basic_operations |
732,649 | geometry | easy | Find the area of a circle with radius 19. Use pi=3.14159, round to 2 decimals. | 1134.11 | Area = pi*r^2 = 3.14159*19^2 = 3.14159*361 = 1134.11. | circle_area |
732,650 | arithmetic | easy | What is 76 * 90? | 6840 | Multiply: 76 * 90 = 6840. | basic_operations |
732,651 | statistics | easy | What is the mean (average) of 2, 9, 94? | 35 | Mean = sum/count. Sum = 2+9+94=105. Count=3. Mean=105/3=35.0. | mean |
732,652 | calculus | medium | What is the derivative of 8x^2 with respect to x? | 16x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^2] = 8*2*x^1 = 16x. | derivative |
732,653 | percentages | easy | What is 64% of 57? | 36.48 | Calculate 64/100 * 57 = 0.64*57 = 36.48. | percentages |
732,654 | word_problems | easy | If you have 48 books and you buy 30 more books, how many books do you have in total? | 78 | Add initial 48 plus bought 30: 48+30=78. | addition_word |
732,655 | fractions | medium | What is 8/5 + 11/19? Give as simplified fraction. | 207/95 | Common denominator 5*19=95. 8/5=152/95, 11/19=55/95. Sum = 207/95 = 207/95 simplified. | fraction_operations |
732,656 | fractions | medium | What is 9/3 - 20/15? Give as simplified fraction. | 5/3 | Common denominator 45. Numerator 135-60=75. So 75/45 simplifies to 5/3. | fraction_operations |
732,657 | arithmetic | easy | What is 104 + 551 * 45? Remember order of operations. | 24899 | Order of operations (PEMDAS): first 551*45=24795, then 104+24795=24899. | basic_operations |
732,658 | arithmetic | easy | What is 263 - 87? | 176 | Subtract: 263 - 87 = 176. | basic_operations |
732,659 | geometry | easy | Find the area of a triangle with base 96 and height 61. | 2928 | Area = 0.5*base*height = 0.5*96*61 = 2928. | triangle_area |
732,660 | percentages | easy | What is 13% of 99? | 12.87 | Calculate 13/100 * 99 = 0.13*99 = 12.87. | percentages |
732,661 | arithmetic | easy | What is 82 * 52? | 4264 | Multiply: 82 * 52 = 4264. | basic_operations |
732,662 | fractions | medium | What is 10/7 - 1/9? Give as simplified fraction. | 83/63 | Common denominator 63. Numerator 90-7=83. So 83/63 simplifies to 83/63. | fraction_operations |
732,663 | arithmetic | easy | What is 42488 / 94? | 452 | Divide: 42488 ÷ 94 = 452 because 94*452=42488. | division |
732,664 | fractions | medium | What is 3/11 + 12/18? Give as simplified fraction. | 31/33 | Common denominator 11*18=198. 3/11=54/198, 12/18=132/198. Sum = 186/198 = 31/33 simplified. | fraction_operations |
732,665 | geometry | easy | Find the circumference of a circle with radius 31. Use pi=3.14159, round to 2 decimals. | 194.78 | Circumference = 2*pi*r = 2*3.14159*31 = 194.78. | circle_circum |
732,666 | arithmetic | easy | What is 16988 / 62? | 274 | Divide: 16988 ÷ 62 = 274 because 62*274=16988. | division |
732,667 | fractions | medium | What is 18/3 * 1/5? Give as simplified fraction. | 6/5 | Multiply numerators: 18*1=18. Denominators: 3*5=15. Simplify by gcd 3 to get 6/5. | fraction_operations |
732,668 | exponents | easy | What is 6^2? | 36 | 6^2 means multiply 6 by itself 2 times: 6*6 = 36. | exponents |
732,669 | arithmetic | easy | What is 31 * 1? | 31 | Multiply: 31 * 1 = 31. | basic_operations |
732,670 | percentages | easy | What is 44% of 231? | 101.64 | Calculate 44/100 * 231 = 0.44*231 = 101.64. | percentages |
732,671 | statistics | easy | What is the mean (average) of 65, 99, 37? | 67 | Mean = sum/count. Sum = 65+99+37=201. Count=3. Mean=201/3=67.0. | mean |
732,672 | algebra | easy | Solve for x: 9x + 47 = -70 | -13 | Subtract 47 from both sides: 9x = -70-47=-117. Then divide by 9: x = -117/9 = -13. | linear_equation |
732,673 | 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 |
732,674 | arithmetic | easy | What is 2255 / 5? | 451 | Divide: 2255 ÷ 5 = 451 because 5*451=2255. | division |
732,675 | word_problems | easy | If you have 89 candies and you buy 44 more candies, how many candies do you have in total? | 133 | Add initial 89 plus bought 44: 89+44=133. | addition_word |
732,676 | statistics | easy | What is the mean (average) of 84, 86, 49? | 73 | Mean = sum/count. Sum = 84+86+49=219. Count=3. Mean=219/3=73.0. | mean |
732,677 | number_theory | medium | What is the LCM (least common multiple) of 59 and 5? | 295 | LCM = |59*5| / GCD(59,5). GCD=1, so LCM=295/1=295. | lcm |
732,678 | exponents | easy | What is 2^4? | 16 | 2^4 means multiply 2 by itself 4 times: 2*2*2*2 = 16. | exponents |
732,679 | arithmetic | easy | What is 900 + 886 * 83? Remember order of operations. | 74438 | Order of operations (PEMDAS): first 886*83=73538, then 900+73538=74438. | basic_operations |
732,680 | calculus | medium | What is the derivative of 2x^6 with respect to x? | 12x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^6] = 2*6*x^5 = 12x^5. | derivative |
732,681 | algebra | easy | Solve for x: 10x + 3 = 103 | 10 | Subtract 3 from both sides: 10x = 103-3=100. Then divide by 10: x = 100/10 = 10. | linear_equation |
732,682 | roots | easy | What is the square root of 2500? | 50 | Find number that when squared gives 2500. 50*50=2500, so sqrt(2500)=50. | square_roots |
732,683 | algebra | medium | Solve for x: x^2 + 13x + 36 = 0 | x = -4, -9 | Factor: (x - -4)(x - -9) = x^2 -(-13)x + 36 = 0. So x = -4 or -9. Check sum = -13, product = 36. | quadratic |
732,684 | calculus | medium | What is the derivative of 4x^5 with respect to x? | 20x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^5] = 4*5*x^4 = 20x^4. | derivative |
732,685 | algebra | medium | Solve for x: x^2 - 7x + 10 = 0 | x = 2, 5 | Factor: (x - 2)(x - 5) = x^2 -(7)x + 10 = 0. So x = 2 or 5. Check sum = 7, product = 10. | quadratic |
732,686 | number_theory | medium | What is the GCD (greatest common divisor) of 90 and 46? | 2 | Find greatest number dividing both 90 and 46. Divisors common, greatest is 2. | gcd |
732,687 | 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 |
732,688 | arithmetic | easy | What is 11 * 13? | 143 | Multiply: 11 * 13 = 143. | basic_operations |
732,689 | statistics | easy | What is the mean (average) of 23, 56, 64? | 47.67 | Mean = sum/count. Sum = 23+56+64=143. Count=3. Mean=143/3=47.67. | mean |
732,690 | percentages | easy | What is 70% of 601? | 420.7 | Calculate 70/100 * 601 = 0.7*601 = 420.7. | percentages |
732,691 | arithmetic | easy | What is 46 + 66 * 89? Remember order of operations. | 5920 | Order of operations (PEMDAS): first 66*89=5874, then 46+5874=5920. | basic_operations |
732,692 | statistics | easy | What is the mean (average) of 39, 87, 100? | 75.33 | Mean = sum/count. Sum = 39+87+100=226. Count=3. Mean=226/3=75.33. | mean |
732,693 | algebra | medium | Solve for x: x^2 + 1x - 42 = 0 | x = -7, 6 | Factor: (x - -7)(x - 6) = x^2 -(-1)x + -42 = 0. So x = -7 or 6. Check sum = -1, product = -42. | quadratic |
732,694 | 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 |
732,695 | 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 |
732,696 | arithmetic | easy | What is 739 + 513? | 1252 | Add the two numbers: 739 + 513 = 1252. | basic_operations |
732,697 | arithmetic | easy | What is 22 * 64? | 1408 | Multiply: 22 * 64 = 1408. | basic_operations |
732,698 | percentages | easy | What is 95% of 674? | 640.3 | Calculate 95/100 * 674 = 0.95*674 = 640.3. | percentages |
732,699 | 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 |
732,700 | algebra | easy | Solve for x: 9x + 6 = -102 | -12 | Subtract 6 from both sides: 9x = -102-6=-108. Then divide by 9: x = -108/9 = -12. | linear_equation |
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