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 |
|---|---|---|---|---|---|---|
730,501 | arithmetic | easy | What is 944 + 792 * 11? Remember order of operations. | 9656 | Order of operations (PEMDAS): first 792*11=8712, then 944+8712=9656. | basic_operations |
730,502 | algebra | easy | Solve for x: 10x - 12 = 118 | 13 | Add 12 to both sides: 10x = 118+12=130. Then x = 130/10 = 13. | linear_equation |
730,503 | geometry | easy | Find the area of a rectangle with length 78 and width 48. | 3744 | Area = length * width = 78*48 = 3744. | rectangle_area |
730,504 | fractions | medium | What is 3/11 * 13/7? Give as simplified fraction. | 39/77 | Multiply numerators: 3*13=39. Denominators: 11*7=77. Simplify by gcd 1 to get 39/77. | fraction_operations |
730,505 | arithmetic | easy | What is 753 - 246? | 507 | Subtract: 753 - 246 = 507. | basic_operations |
730,506 | algebra | medium | Solve for x: x^2 - 3x = 0 | x = 3, 0 | Factor: (x - 3)(x - 0) = x^2 -(3)x + 0 = 0. So x = 3 or 0. Check sum = 3, product = 0. | quadratic |
730,507 | arithmetic | easy | What is 57 + 29 * 4? Remember order of operations. | 173 | Order of operations (PEMDAS): first 29*4=116, then 57+116=173. | basic_operations |
730,508 | geometry | easy | Find the area of a rectangle with length 17 and width 52. | 884 | Area = length * width = 17*52 = 884. | rectangle_area |
730,509 | 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 |
730,510 | arithmetic | easy | What is 611 + 155? | 766 | Add the two numbers: 611 + 155 = 766. | basic_operations |
730,511 | arithmetic | easy | What is 306 + 273 * 42? Remember order of operations. | 11772 | Order of operations (PEMDAS): first 273*42=11466, then 306+11466=11772. | basic_operations |
730,512 | fractions | medium | What is 18/2 * 12/16? Give as simplified fraction. | 27/4 | Multiply numerators: 18*12=216. Denominators: 2*16=32. Simplify by gcd 8 to get 27/4. | fraction_operations |
730,513 | percentages | easy | What is 49% of 893? | 437.57 | Calculate 49/100 * 893 = 0.49*893 = 437.57. | percentages |
730,514 | 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 |
730,515 | word_problems | easy | If you have 51 apples and you buy 2 more apples, how many apples do you have in total? | 53 | Add initial 51 plus bought 2: 51+2=53. | addition_word |
730,516 | number_theory | medium | What is the LCM (least common multiple) of 13 and 99? | 1287 | LCM = |13*99| / GCD(13,99). GCD=1, so LCM=1287/1=1287. | lcm |
730,517 | algebra | medium | Solve for x: x^2 - 10x = 0 | x = 10, 0 | Factor: (x - 10)(x - 0) = x^2 -(10)x + 0 = 0. So x = 10 or 0. Check sum = 10, product = 0. | quadratic |
730,518 | number_theory | medium | What is the LCM (least common multiple) of 14 and 10? | 70 | LCM = |14*10| / GCD(14,10). GCD=2, so LCM=140/2=70. | lcm |
730,519 | arithmetic | easy | What is 37 * 9? | 333 | Multiply: 37 * 9 = 333. | basic_operations |
730,520 | arithmetic | easy | What is 434 + 495? | 929 | Add the two numbers: 434 + 495 = 929. | basic_operations |
730,521 | percentages | easy | What is 64% of 421? | 269.44 | Calculate 64/100 * 421 = 0.64*421 = 269.44. | percentages |
730,522 | arithmetic | easy | What is 79 * 51? | 4029 | Multiply: 79 * 51 = 4029. | basic_operations |
730,523 | geometry | easy | Find the area of a rectangle with length 31 and width 4. | 124 | Area = length * width = 31*4 = 124. | rectangle_area |
730,524 | exponents | easy | What is 10^2? | 100 | 10^2 means multiply 10 by itself 2 times: 10*10 = 100. | exponents |
730,525 | word_problems | easy | If you have 21 pencils and you buy 6 more pencils, how many pencils do you have in total? | 27 | Add initial 21 plus bought 6: 21+6=27. | addition_word |
730,526 | arithmetic | easy | What is 511 + 596? | 1107 | Add the two numbers: 511 + 596 = 1107. | basic_operations |
730,527 | statistics | easy | What is the mean (average) of 47, 10, 42, 96? | 48.75 | Mean = sum/count. Sum = 47+10+42+96=195. Count=4. Mean=195/4=48.75. | mean |
730,528 | arithmetic | easy | What is 991 + 444 * 1? Remember order of operations. | 1435 | Order of operations (PEMDAS): first 444*1=444, then 991+444=1435. | basic_operations |
730,529 | percentages | easy | What is 2% of 822? | 16.44 | Calculate 2/100 * 822 = 0.02*822 = 16.44. | percentages |
730,530 | percentages | easy | What is 44% of 121? | 53.24 | Calculate 44/100 * 121 = 0.44*121 = 53.24. | percentages |
730,531 | number_theory | medium | What is the LCM (least common multiple) of 56 and 87? | 4872 | LCM = |56*87| / GCD(56,87). GCD=1, so LCM=4872/1=4872. | lcm |
730,532 | algebra | easy | Solve for x: 7x - 34 = -20 | 2 | Add 34 to both sides: 7x = -20+34=14. Then x = 14/7 = 2. | linear_equation |
730,533 | algebra | easy | Solve for x: 19x + 1 = 343 | 18 | Subtract 1 from both sides: 19x = 343-1=342. Then divide by 19: x = 342/19 = 18. | linear_equation |
730,534 | statistics | easy | What is the mean (average) of 68, 88, 13? | 56.33 | Mean = sum/count. Sum = 68+88+13=169. Count=3. Mean=169/3=56.33. | mean |
730,535 | algebra | medium | Solve for x: x^2 + 3x - 18 = 0 | x = -6, 3 | Factor: (x - -6)(x - 3) = x^2 -(-3)x + -18 = 0. So x = -6 or 3. Check sum = -3, product = -18. | quadratic |
730,536 | roots | easy | What is the square root of 1? | 1 | Find number that when squared gives 1. 1*1=1, so sqrt(1)=1. | square_roots |
730,537 | arithmetic | easy | What is 80 + 200 * 46? Remember order of operations. | 9280 | Order of operations (PEMDAS): first 200*46=9200, then 80+9200=9280. | basic_operations |
730,538 | geometry | easy | Find the circumference of a circle with radius 16. Use pi=3.14159, round to 2 decimals. | 100.53 | Circumference = 2*pi*r = 2*3.14159*16 = 100.53. | circle_circum |
730,539 | 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 |
730,540 | algebra | easy | Solve for x: 11x - 25 = -157 | -12 | Add 25 to both sides: 11x = -157+25=-132. Then x = -132/11 = -12. | linear_equation |
730,541 | fractions | medium | What is 20/10 - 17/20? Give as simplified fraction. | 23/20 | Common denominator 200. Numerator 400-170=230. So 230/200 simplifies to 23/20. | fraction_operations |
730,542 | statistics | easy | What is the mean (average) of 5, 45, 40, 29? | 29.75 | Mean = sum/count. Sum = 5+45+40+29=119. Count=4. Mean=119/4=29.75. | mean |
730,543 | arithmetic | easy | What is 2760 / 40? | 69 | Divide: 2760 ÷ 40 = 69 because 40*69=2760. | division |
730,544 | algebra | medium | Solve for x: x^2 + 5x - 14 = 0 | x = -7, 2 | Factor: (x - -7)(x - 2) = x^2 -(-5)x + -14 = 0. So x = -7 or 2. Check sum = -5, product = -14. | quadratic |
730,545 | word_problems | easy | If you have 71 candies and you buy 11 more candies, how many candies do you have in total? | 82 | Add initial 71 plus bought 11: 71+11=82. | addition_word |
730,546 | percentages | easy | What is 66% of 703? | 463.98 | Calculate 66/100 * 703 = 0.66*703 = 463.98. | percentages |
730,547 | algebra | medium | Solve for x: x^2 + 3x - 54 = 0 | x = -9, 6 | Factor: (x - -9)(x - 6) = x^2 -(-3)x + -54 = 0. So x = -9 or 6. Check sum = -3, product = -54. | quadratic |
730,548 | exponents | easy | What is 3^5? | 243 | 3^5 means multiply 3 by itself 5 times: 3*3*3*3*3 = 243. | exponents |
730,549 | exponents | easy | What is 4^3? | 64 | 4^3 means multiply 4 by itself 3 times: 4*4*4 = 64. | exponents |
730,550 | exponents | easy | What is 2^5? | 32 | 2^5 means multiply 2 by itself 5 times: 2*2*2*2*2 = 32. | exponents |
730,551 | word_problems | easy | If you have 58 pencils and you buy 24 more pencils, how many pencils do you have in total? | 82 | Add initial 58 plus bought 24: 58+24=82. | addition_word |
730,552 | geometry | easy | Find the circumference of a circle with radius 38. Use pi=3.14159, round to 2 decimals. | 238.76 | Circumference = 2*pi*r = 2*3.14159*38 = 238.76. | circle_circum |
730,553 | percentages | easy | What is 91% of 986? | 897.26 | Calculate 91/100 * 986 = 0.91*986 = 897.26. | percentages |
730,554 | arithmetic | easy | What is 113 - 5? | 108 | Subtract: 113 - 5 = 108. | basic_operations |
730,555 | 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 |
730,556 | calculus | medium | What is the derivative of 4x^6 with respect to x? | 24x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^6] = 4*6*x^5 = 24x^5. | derivative |
730,557 | arithmetic | easy | What is 83 * 43? | 3569 | Multiply: 83 * 43 = 3569. | basic_operations |
730,558 | arithmetic | easy | What is 39479 / 97? | 407 | Divide: 39479 ÷ 97 = 407 because 97*407=39479. | division |
730,559 | algebra | medium | Solve for x: x^2 + 9x - 10 = 0 | x = 1, -10 | Factor: (x - 1)(x - -10) = x^2 -(-9)x + -10 = 0. So x = 1 or -10. Check sum = -9, product = -10. | quadratic |
730,560 | number_theory | medium | What is the GCD (greatest common divisor) of 5 and 19? | 1 | Find greatest number dividing both 5 and 19. Divisors common, greatest is 1. | gcd |
730,561 | arithmetic | easy | What is 338 + 738? | 1076 | Add the two numbers: 338 + 738 = 1076. | basic_operations |
730,562 | number_theory | medium | What is the LCM (least common multiple) of 31 and 51? | 1581 | LCM = |31*51| / GCD(31,51). GCD=1, so LCM=1581/1=1581. | lcm |
730,563 | fractions | medium | What is 7/8 + 1/8? Give as simplified fraction. | 1 | Common denominator 8*8=64. 7/8=56/64, 1/8=8/64. Sum = 64/64 = 1 simplified. | fraction_operations |
730,564 | calculus | medium | What is the derivative of 7x^8 with respect to x? | 56x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^8] = 7*8*x^7 = 56x^7. | derivative |
730,565 | arithmetic | easy | What is 180 + 200? | 380 | Add the two numbers: 180 + 200 = 380. | basic_operations |
730,566 | percentages | easy | What is 58% of 611? | 354.38 | Calculate 58/100 * 611 = 0.58*611 = 354.38. | percentages |
730,567 | geometry | easy | Find the area of a rectangle with length 5 and width 73. | 365 | Area = length * width = 5*73 = 365. | rectangle_area |
730,568 | percentages | easy | What is 29% of 492? | 142.68 | Calculate 29/100 * 492 = 0.29*492 = 142.68. | percentages |
730,569 | exponents | easy | What is 3^2? | 9 | 3^2 means multiply 3 by itself 2 times: 3*3 = 9. | exponents |
730,570 | arithmetic | easy | What is 66 + 850 * 24? Remember order of operations. | 20466 | Order of operations (PEMDAS): first 850*24=20400, then 66+20400=20466. | basic_operations |
730,571 | exponents | easy | What is 5^2? | 25 | 5^2 means multiply 5 by itself 2 times: 5*5 = 25. | exponents |
730,572 | 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 |
730,573 | fractions | medium | What is 3/16 - 2/17? Give as simplified fraction. | 19/272 | Common denominator 272. Numerator 51-32=19. So 19/272 simplifies to 19/272. | fraction_operations |
730,574 | percentages | easy | What is 21% of 780? | 163.8 | Calculate 21/100 * 780 = 0.21*780 = 163.8. | percentages |
730,575 | word_problems | easy | If you have 49 apples and you buy 46 more apples, how many apples do you have in total? | 95 | Add initial 49 plus bought 46: 49+46=95. | addition_word |
730,576 | word_problems | easy | If you have 87 dollars and you buy 36 more dollars, how many dollars do you have in total? | 123 | Add initial 87 plus bought 36: 87+36=123. | addition_word |
730,577 | algebra | medium | Solve for x: x^2 + 5x - 24 = 0 | x = 3, -8 | Factor: (x - 3)(x - -8) = x^2 -(-5)x + -24 = 0. So x = 3 or -8. Check sum = -5, product = -24. | quadratic |
730,578 | fractions | medium | What is 7/17 * 2/8? Give as simplified fraction. | 7/68 | Multiply numerators: 7*2=14. Denominators: 17*8=136. Simplify by gcd 2 to get 7/68. | fraction_operations |
730,579 | word_problems | easy | If you have 41 books and you buy 2 more books, how many books do you have in total? | 43 | Add initial 41 plus bought 2: 41+2=43. | addition_word |
730,580 | algebra | easy | Solve for x: 16x - 30 = -46 | -1 | Add 30 to both sides: 16x = -46+30=-16. Then x = -16/16 = -1. | linear_equation |
730,581 | arithmetic | easy | What is 36232 divided by 97? Give answer to 2 decimal places. | 373.53 | Calculate 36232/ 97 = 373.5258, rounded to 2 decimals is 373.53. | division |
730,582 | arithmetic | easy | What is 559 + 290? | 849 | Add the two numbers: 559 + 290 = 849. | basic_operations |
730,583 | calculus | medium | What is the derivative of 6x^5 with respect to x? | 30x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^5] = 6*5*x^4 = 30x^4. | derivative |
730,584 | geometry | easy | Find the circumference of a circle with radius 12. Use pi=3.14159, round to 2 decimals. | 75.4 | Circumference = 2*pi*r = 2*3.14159*12 = 75.4. | circle_circum |
730,585 | number_theory | medium | What is the LCM (least common multiple) of 55 and 20? | 220 | LCM = |55*20| / GCD(55,20). GCD=5, so LCM=1100/5=220. | lcm |
730,586 | arithmetic | easy | What is 177 + 20? | 197 | Add the two numbers: 177 + 20 = 197. | basic_operations |
730,587 | number_theory | medium | What is the LCM (least common multiple) of 32 and 88? | 352 | LCM = |32*88| / GCD(32,88). GCD=8, so LCM=2816/8=352. | lcm |
730,588 | algebra | medium | Solve for x: x^2 + 10x = 0 | x = -10, 0 | Factor: (x - -10)(x - 0) = x^2 -(-10)x + 0 = 0. So x = -10 or 0. Check sum = -10, product = 0. | quadratic |
730,589 | geometry | easy | Find the area of a triangle with base 20 and height 66. | 660 | Area = 0.5*base*height = 0.5*20*66 = 660. | triangle_area |
730,590 | percentages | easy | What is 48% of 441? | 211.68 | Calculate 48/100 * 441 = 0.48*441 = 211.68. | percentages |
730,591 | 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 |
730,592 | number_theory | medium | What is the GCD (greatest common divisor) of 80 and 82? | 2 | Find greatest number dividing both 80 and 82. Divisors common, greatest is 2. | gcd |
730,593 | statistics | easy | What is the mean (average) of 46, 46, 42, 74? | 52 | Mean = sum/count. Sum = 46+46+42+74=208. Count=4. Mean=208/4=52.0. | mean |
730,594 | 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 |
730,595 | calculus | medium | What is the derivative of 3x^5 with respect to x? | 15x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^5] = 3*5*x^4 = 15x^4. | derivative |
730,596 | arithmetic | easy | What is 973 - 515? | 458 | Subtract: 973 - 515 = 458. | basic_operations |
730,597 | roots | easy | What is the square root of 1296? | 36 | Find number that when squared gives 1296. 36*36=1296, so sqrt(1296)=36. | square_roots |
730,598 | number_theory | medium | What is the GCD (greatest common divisor) of 44 and 20? | 4 | Find greatest number dividing both 44 and 20. Divisors common, greatest is 4. | gcd |
730,599 | fractions | medium | What is 20/20 + 2/5? Give as simplified fraction. | 7/5 | Common denominator 20*5=100. 20/20=100/100, 2/5=40/100. Sum = 140/100 = 7/5 simplified. | fraction_operations |
730,600 | geometry | easy | Find the circumference of a circle with radius 47. Use pi=3.14159, round to 2 decimals. | 295.31 | Circumference = 2*pi*r = 2*3.14159*47 = 295.31. | circle_circum |
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