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 |
|---|---|---|---|---|---|---|
8,501 | 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 |
8,502 | arithmetic | easy | What is 746 + 192? | 938 | Add the two numbers: 746 + 192 = 938. | basic_operations |
8,503 | algebra | easy | Solve for x: 13x - 10 = -114 | -8 | Add 10 to both sides: 13x = -114+10=-104. Then x = -104/13 = -8. | linear_equation |
8,504 | algebra | medium | Solve for x: x^2 - 1x - 12 = 0 | x = 4, -3 | Factor: (x - 4)(x - -3) = x^2 -(1)x + -12 = 0. So x = 4 or -3. Check sum = 1, product = -12. | quadratic |
8,505 | roots | easy | What is the square root of 2025? | 45 | Find number that when squared gives 2025. 45*45=2025, so sqrt(2025)=45. | square_roots |
8,506 | 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 |
8,507 | exponents | easy | What is 11^5? | 161051 | 11^5 means multiply 11 by itself 5 times: 11*11*11*11*11 = 161051. | exponents |
8,508 | algebra | easy | Solve for x: 9x + 26 = -127 | -17 | Subtract 26 from both sides: 9x = -127-26=-153. Then divide by 9: x = -153/9 = -17. | linear_equation |
8,509 | fractions | medium | What is 5/6 - 8/10? Give as simplified fraction. | 1/30 | Common denominator 60. Numerator 50-48=2. So 2/60 simplifies to 1/30. | fraction_operations |
8,510 | statistics | easy | What is the mean (average) of 38, 55, 79? | 57.33 | Mean = sum/count. Sum = 38+55+79=172. Count=3. Mean=172/3=57.33. | mean |
8,511 | roots | easy | What is the square root of 9? | 3 | Find number that when squared gives 9. 3*3=9, so sqrt(9)=3. | square_roots |
8,512 | percentages | easy | What is 91% of 366? | 333.06 | Calculate 91/100 * 366 = 0.91*366 = 333.06. | percentages |
8,513 | roots | easy | What is the square root of 576? | 24 | Find number that when squared gives 576. 24*24=576, so sqrt(576)=24. | square_roots |
8,514 | number_theory | medium | What is the GCD (greatest common divisor) of 89 and 58? | 1 | Find greatest number dividing both 89 and 58. Divisors common, greatest is 1. | gcd |
8,515 | algebra | easy | Solve for x: 2x - 45 = -33 | 6 | Add 45 to both sides: 2x = -33+45=12. Then x = 12/2 = 6. | linear_equation |
8,516 | arithmetic | easy | What is 7998 / 62? | 129 | Divide: 7998 ÷ 62 = 129 because 62*129=7998. | division |
8,517 | 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 |
8,518 | geometry | easy | Find the area of a circle with radius 37. Use pi=3.14159, round to 2 decimals. | 4300.84 | Area = pi*r^2 = 3.14159*37^2 = 3.14159*1369 = 4300.84. | circle_area |
8,519 | geometry | easy | Find the circumference of a circle with radius 26. Use pi=3.14159, round to 2 decimals. | 163.36 | Circumference = 2*pi*r = 2*3.14159*26 = 163.36. | circle_circum |
8,520 | arithmetic | easy | What is 8200 / 100? | 82 | Divide: 8200 ÷ 100 = 82 because 100*82=8200. | division |
8,521 | arithmetic | easy | What is 980 - 651? | 329 | Subtract: 980 - 651 = 329. | basic_operations |
8,522 | arithmetic | easy | What is 863 + 429? | 1292 | Add the two numbers: 863 + 429 = 1292. | basic_operations |
8,523 | calculus | medium | What is the derivative of 3x^2 with respect to x? | 6x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^2] = 3*2*x^1 = 6x. | derivative |
8,524 | algebra | medium | Solve for x: x^2 - 1x - 42 = 0 | x = -6, 7 | Factor: (x - -6)(x - 7) = x^2 -(1)x + -42 = 0. So x = -6 or 7. Check sum = 1, product = -42. | quadratic |
8,525 | percentages | easy | What is 84% of 728? | 611.52 | Calculate 84/100 * 728 = 0.84*728 = 611.52. | percentages |
8,526 | arithmetic | easy | What is 396 - 374? | 22 | Subtract: 396 - 374 = 22. | basic_operations |
8,527 | number_theory | medium | What is the GCD (greatest common divisor) of 32 and 86? | 2 | Find greatest number dividing both 32 and 86. Divisors common, greatest is 2. | gcd |
8,528 | 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 |
8,529 | roots | easy | What is the square root of 484? | 22 | Find number that when squared gives 484. 22*22=484, so sqrt(484)=22. | square_roots |
8,530 | roots | easy | What is the square root of 16? | 4 | Find number that when squared gives 16. 4*4=16, so sqrt(16)=4. | square_roots |
8,531 | algebra | easy | Solve for x: 14x - 23 = -9 | 1 | Add 23 to both sides: 14x = -9+23=14. Then x = 14/14 = 1. | linear_equation |
8,532 | 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 |
8,533 | statistics | easy | What is the mean (average) of 63, 99, 69, 78? | 77.25 | Mean = sum/count. Sum = 63+99+69+78=309. Count=4. Mean=309/4=77.25. | mean |
8,534 | exponents | easy | What is 5^3? | 125 | 5^3 means multiply 5 by itself 3 times: 5*5*5 = 125. | exponents |
8,535 | algebra | easy | Solve for x: 16x + 2 = -126 | -8 | Subtract 2 from both sides: 16x = -126-2=-128. Then divide by 16: x = -128/16 = -8. | linear_equation |
8,536 | arithmetic | easy | What is 270 + 695 * 53? Remember order of operations. | 37105 | Order of operations (PEMDAS): first 695*53=36835, then 270+36835=37105. | basic_operations |
8,537 | algebra | medium | Solve for x: x^2 + 1x - 6 = 0 | x = -3, 2 | Factor: (x - -3)(x - 2) = x^2 -(-1)x + -6 = 0. So x = -3 or 2. Check sum = -1, product = -6. | quadratic |
8,538 | calculus | medium | What is the derivative of 3x^7 with respect to x? | 21x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^7] = 3*7*x^6 = 21x^6. | derivative |
8,539 | 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 |
8,540 | arithmetic | easy | What is 189 + 970 * 88? Remember order of operations. | 85549 | Order of operations (PEMDAS): first 970*88=85360, then 189+85360=85549. | basic_operations |
8,541 | word_problems | easy | If you have 52 apples and you buy 22 more apples, how many apples do you have in total? | 74 | Add initial 52 plus bought 22: 52+22=74. | addition_word |
8,542 | 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 |
8,543 | arithmetic | easy | What is 443 + 659? | 1102 | Add the two numbers: 443 + 659 = 1102. | basic_operations |
8,544 | arithmetic | easy | What is 980 + 349 * 87? Remember order of operations. | 31343 | Order of operations (PEMDAS): first 349*87=30363, then 980+30363=31343. | basic_operations |
8,545 | arithmetic | easy | What is 599 - 213? | 386 | Subtract: 599 - 213 = 386. | basic_operations |
8,546 | arithmetic | easy | What is 469 - 447? | 22 | Subtract: 469 - 447 = 22. | basic_operations |
8,547 | arithmetic | easy | What is 4700 / 50? | 94 | Divide: 4700 ÷ 50 = 94 because 50*94=4700. | division |
8,548 | fractions | medium | What is 8/9 * 19/4? Give as simplified fraction. | 38/9 | Multiply numerators: 8*19=152. Denominators: 9*4=36. Simplify by gcd 4 to get 38/9. | fraction_operations |
8,549 | algebra | medium | Solve for x: x^2 - 10x + 16 = 0 | x = 8, 2 | Factor: (x - 8)(x - 2) = x^2 -(10)x + 16 = 0. So x = 8 or 2. Check sum = 10, product = 16. | quadratic |
8,550 | algebra | easy | Solve for x: 4x - 50 = -46 | 1 | Add 50 to both sides: 4x = -46+50=4. Then x = 4/4 = 1. | linear_equation |
8,551 | percentages | easy | What is 4% of 492? | 19.68 | Calculate 4/100 * 492 = 0.04*492 = 19.68. | percentages |
8,552 | arithmetic | easy | What is 164 + 178? | 342 | Add the two numbers: 164 + 178 = 342. | basic_operations |
8,553 | algebra | easy | Solve for x: 5x + 15 = -15 | -6 | Subtract 15 from both sides: 5x = -15-15=-30. Then divide by 5: x = -30/5 = -6. | linear_equation |
8,554 | word_problems | easy | If you have 61 dollars and you buy 48 more dollars, how many dollars do you have in total? | 109 | Add initial 61 plus bought 48: 61+48=109. | addition_word |
8,555 | algebra | medium | Solve for x: x^2 + 5x - 36 = 0 | x = 4, -9 | Factor: (x - 4)(x - -9) = x^2 -(-5)x + -36 = 0. So x = 4 or -9. Check sum = -5, product = -36. | quadratic |
8,556 | roots | easy | What is the square root of 361? | 19 | Find number that when squared gives 361. 19*19=361, so sqrt(361)=19. | square_roots |
8,557 | roots | easy | What is the square root of 1024? | 32 | Find number that when squared gives 1024. 32*32=1024, so sqrt(1024)=32. | square_roots |
8,558 | word_problems | easy | If you have 26 books and you buy 36 more books, how many books do you have in total? | 62 | Add initial 26 plus bought 36: 26+36=62. | addition_word |
8,559 | arithmetic | easy | What is 410 + 199? | 609 | Add the two numbers: 410 + 199 = 609. | basic_operations |
8,560 | arithmetic | easy | What is 984 - 82? | 902 | Subtract: 984 - 82 = 902. | basic_operations |
8,561 | arithmetic | easy | What is 924 - 299? | 625 | Subtract: 924 - 299 = 625. | basic_operations |
8,562 | number_theory | medium | What is the LCM (least common multiple) of 65 and 75? | 975 | LCM = |65*75| / GCD(65,75). GCD=5, so LCM=4875/5=975. | lcm |
8,563 | algebra | easy | Solve for x: 9x + 12 = 66 | 6 | Subtract 12 from both sides: 9x = 66-12=54. Then divide by 9: x = 54/9 = 6. | linear_equation |
8,564 | arithmetic | easy | What is 3 * 83? | 249 | Multiply: 3 * 83 = 249. | basic_operations |
8,565 | geometry | easy | Find the circumference of a circle with radius 10. Use pi=3.14159, round to 2 decimals. | 62.83 | Circumference = 2*pi*r = 2*3.14159*10 = 62.83. | circle_circum |
8,566 | geometry | easy | Find the area of a circle with radius 12. Use pi=3.14159, round to 2 decimals. | 452.39 | Area = pi*r^2 = 3.14159*12^2 = 3.14159*144 = 452.39. | circle_area |
8,567 | number_theory | medium | What is the LCM (least common multiple) of 60 and 28? | 420 | LCM = |60*28| / GCD(60,28). GCD=4, so LCM=1680/4=420. | lcm |
8,568 | word_problems | easy | If you have 93 candies and you buy 17 more candies, how many candies do you have in total? | 110 | Add initial 93 plus bought 17: 93+17=110. | addition_word |
8,569 | statistics | easy | What is the mean (average) of 69, 34, 2, 57, 1? | 32.6 | Mean = sum/count. Sum = 69+34+2+57+1=163. Count=5. Mean=163/5=32.6. | mean |
8,570 | geometry | easy | Find the circumference of a circle with radius 21. Use pi=3.14159, round to 2 decimals. | 131.95 | Circumference = 2*pi*r = 2*3.14159*21 = 131.95. | circle_circum |
8,571 | statistics | easy | What is the mean (average) of 59, 100, 7, 56? | 55.5 | Mean = sum/count. Sum = 59+100+7+56=222. Count=4. Mean=222/4=55.5. | mean |
8,572 | arithmetic | easy | What is 65 * 78? | 5070 | Multiply: 65 * 78 = 5070. | basic_operations |
8,573 | algebra | easy | Solve for x: 18x - 11 = -209 | -11 | Add 11 to both sides: 18x = -209+11=-198. Then x = -198/18 = -11. | linear_equation |
8,574 | calculus | medium | What is the derivative of 1x^6 with respect to x? | 6x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^6] = 1*6*x^5 = 6x^5. | derivative |
8,575 | algebra | easy | Solve for x: 17x - 32 = 53 | 5 | Add 32 to both sides: 17x = 53+32=85. Then x = 85/17 = 5. | linear_equation |
8,576 | arithmetic | easy | What is 725 + 660 * 97? Remember order of operations. | 64745 | Order of operations (PEMDAS): first 660*97=64020, then 725+64020=64745. | basic_operations |
8,577 | word_problems | easy | If you have 8 dollars and you buy 1 more dollars, how many dollars do you have in total? | 9 | Add initial 8 plus bought 1: 8+1=9. | addition_word |
8,578 | fractions | medium | What is 16/4 + 17/15? Give as simplified fraction. | 77/15 | Common denominator 4*15=60. 16/4=240/60, 17/15=68/60. Sum = 308/60 = 77/15 simplified. | fraction_operations |
8,579 | roots | easy | What is the square root of 625? | 25 | Find number that when squared gives 625. 25*25=625, so sqrt(625)=25. | square_roots |
8,580 | calculus | medium | What is the derivative of 9x^6 with respect to x? | 54x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^6] = 9*6*x^5 = 54x^5. | derivative |
8,581 | arithmetic | easy | What is 83 * 52? | 4316 | Multiply: 83 * 52 = 4316. | basic_operations |
8,582 | statistics | easy | What is the mean (average) of 48, 82, 9, 19, 60? | 43.6 | Mean = sum/count. Sum = 48+82+9+19+60=218. Count=5. Mean=218/5=43.6. | mean |
8,583 | fractions | medium | What is 4/7 * 9/6? Give as simplified fraction. | 6/7 | Multiply numerators: 4*9=36. Denominators: 7*6=42. Simplify by gcd 6 to get 6/7. | fraction_operations |
8,584 | number_theory | medium | What is the LCM (least common multiple) of 31 and 48? | 1488 | LCM = |31*48| / GCD(31,48). GCD=1, so LCM=1488/1=1488. | lcm |
8,585 | arithmetic | easy | What is 859 + 409? | 1268 | Add the two numbers: 859 + 409 = 1268. | basic_operations |
8,586 | arithmetic | easy | What is 632 - 570? | 62 | Subtract: 632 - 570 = 62. | basic_operations |
8,587 | word_problems | easy | If you have 5 apples and you buy 45 more apples, how many apples do you have in total? | 50 | Add initial 5 plus bought 45: 5+45=50. | addition_word |
8,588 | statistics | easy | What is the mean (average) of 89, 66, 100? | 85 | Mean = sum/count. Sum = 89+66+100=255. Count=3. Mean=255/3=85.0. | mean |
8,589 | 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 |
8,590 | number_theory | medium | What is the LCM (least common multiple) of 22 and 6? | 66 | LCM = |22*6| / GCD(22,6). GCD=2, so LCM=132/2=66. | lcm |
8,591 | word_problems | easy | If you have 88 apples and you buy 7 more apples, how many apples do you have in total? | 95 | Add initial 88 plus bought 7: 88+7=95. | addition_word |
8,592 | statistics | easy | What is the mean (average) of 8, 37, 29, 29? | 25.75 | Mean = sum/count. Sum = 8+37+29+29=103. Count=4. Mean=103/4=25.75. | mean |
8,593 | 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 |
8,594 | number_theory | medium | What is the LCM (least common multiple) of 94 and 57? | 5358 | LCM = |94*57| / GCD(94,57). GCD=1, so LCM=5358/1=5358. | lcm |
8,595 | word_problems | easy | If you have 94 dollars and you buy 10 more dollars, how many dollars do you have in total? | 104 | Add initial 94 plus bought 10: 94+10=104. | addition_word |
8,596 | 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 |
8,597 | arithmetic | easy | What is 336 + 998 * 9? Remember order of operations. | 9318 | Order of operations (PEMDAS): first 998*9=8982, then 336+8982=9318. | basic_operations |
8,598 | arithmetic | easy | What is 53 + 693? | 746 | Add the two numbers: 53 + 693 = 746. | basic_operations |
8,599 | statistics | easy | What is the mean (average) of 95, 47, 4, 93, 23? | 52.4 | Mean = sum/count. Sum = 95+47+4+93+23=262. Count=5. Mean=262/5=52.4. | mean |
8,600 | arithmetic | easy | What is 382 - 50? | 332 | Subtract: 382 - 50 = 332. | basic_operations |
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