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 |
|---|---|---|---|---|---|---|
734,501 | percentages | easy | What is 53% of 465? | 246.45 | Calculate 53/100 * 465 = 0.53*465 = 246.45. | percentages |
734,502 | statistics | easy | What is the mean (average) of 87, 86, 70, 41? | 71 | Mean = sum/count. Sum = 87+86+70+41=284. Count=4. Mean=284/4=71.0. | mean |
734,503 | arithmetic | easy | What is 84 * 5? | 420 | Multiply: 84 * 5 = 420. | basic_operations |
734,504 | exponents | easy | What is 8^3? | 512 | 8^3 means multiply 8 by itself 3 times: 8*8*8 = 512. | exponents |
734,505 | 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 |
734,506 | 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 |
734,507 | number_theory | medium | What is the GCD (greatest common divisor) of 31 and 38? | 1 | Find greatest number dividing both 31 and 38. Divisors common, greatest is 1. | gcd |
734,508 | algebra | easy | Solve for x: 3x + 47 = 56 | 3 | Subtract 47 from both sides: 3x = 56-47=9. Then divide by 3: x = 9/3 = 3. | linear_equation |
734,509 | algebra | easy | Solve for x: 5x + 7 = -53 | -12 | Subtract 7 from both sides: 5x = -53-7=-60. Then divide by 5: x = -60/5 = -12. | linear_equation |
734,510 | statistics | easy | What is the mean (average) of 16, 21, 53, 64? | 38.5 | Mean = sum/count. Sum = 16+21+53+64=154. Count=4. Mean=154/4=38.5. | mean |
734,511 | fractions | medium | What is 13/8 - 17/2? Give as simplified fraction. | -55/8 | Common denominator 16. Numerator 26-136=-110. So -110/16 simplifies to -55/8. | fraction_operations |
734,512 | number_theory | medium | What is the LCM (least common multiple) of 85 and 3? | 255 | LCM = |85*3| / GCD(85,3). GCD=1, so LCM=255/1=255. | lcm |
734,513 | fractions | medium | What is 6/20 + 3/20? Give as simplified fraction. | 9/20 | Common denominator 20*20=400. 6/20=120/400, 3/20=60/400. Sum = 180/400 = 9/20 simplified. | fraction_operations |
734,514 | fractions | medium | What is 18/11 + 4/10? Give as simplified fraction. | 112/55 | Common denominator 11*10=110. 18/11=180/110, 4/10=44/110. Sum = 224/110 = 112/55 simplified. | fraction_operations |
734,515 | exponents | easy | What is 8^5? | 32768 | 8^5 means multiply 8 by itself 5 times: 8*8*8*8*8 = 32768. | exponents |
734,516 | exponents | easy | What is 4^5? | 1024 | 4^5 means multiply 4 by itself 5 times: 4*4*4*4*4 = 1024. | exponents |
734,517 | algebra | easy | Solve for x: 20x - 9 = 251 | 13 | Add 9 to both sides: 20x = 251+9=260. Then x = 260/20 = 13. | linear_equation |
734,518 | arithmetic | easy | What is 22764 / 84? | 271 | Divide: 22764 ÷ 84 = 271 because 84*271=22764. | division |
734,519 | statistics | easy | What is the mean (average) of 83, 41, 5, 99? | 57 | Mean = sum/count. Sum = 83+41+5+99=228. Count=4. Mean=228/4=57.0. | mean |
734,520 | arithmetic | easy | What is 814 - 254? | 560 | Subtract: 814 - 254 = 560. | basic_operations |
734,521 | algebra | medium | Solve for x: x^2 + 2x - 3 = 0 | x = 1, -3 | Factor: (x - 1)(x - -3) = x^2 -(-2)x + -3 = 0. So x = 1 or -3. Check sum = -2, product = -3. | quadratic |
734,522 | number_theory | medium | What is the LCM (least common multiple) of 97 and 22? | 2134 | LCM = |97*22| / GCD(97,22). GCD=1, so LCM=2134/1=2134. | lcm |
734,523 | 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 |
734,524 | number_theory | medium | What is the LCM (least common multiple) of 99 and 86? | 8514 | LCM = |99*86| / GCD(99,86). GCD=1, so LCM=8514/1=8514. | lcm |
734,525 | statistics | easy | What is the mean (average) of 92, 55, 35? | 60.67 | Mean = sum/count. Sum = 92+55+35=182. Count=3. Mean=182/3=60.67. | mean |
734,526 | exponents | easy | What is 9^5? | 59049 | 9^5 means multiply 9 by itself 5 times: 9*9*9*9*9 = 59049. | exponents |
734,527 | arithmetic | easy | What is 86 * 27? | 2322 | Multiply: 86 * 27 = 2322. | basic_operations |
734,528 | algebra | easy | Solve for x: 13x + 35 = 87 | 4 | Subtract 35 from both sides: 13x = 87-35=52. Then divide by 13: x = 52/13 = 4. | linear_equation |
734,529 | arithmetic | easy | What is 82 + 881? | 963 | Add the two numbers: 82 + 881 = 963. | basic_operations |
734,530 | exponents | easy | What is 4^4? | 256 | 4^4 means multiply 4 by itself 4 times: 4*4*4*4 = 256. | exponents |
734,531 | fractions | medium | What is 16/18 * 15/16? Give as simplified fraction. | 5/6 | Multiply numerators: 16*15=240. Denominators: 18*16=288. Simplify by gcd 48 to get 5/6. | fraction_operations |
734,532 | 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 |
734,533 | word_problems | easy | If you have 91 pencils and you buy 27 more pencils, how many pencils do you have in total? | 118 | Add initial 91 plus bought 27: 91+27=118. | addition_word |
734,534 | arithmetic | easy | What is 11319 / 77? | 147 | Divide: 11319 ÷ 77 = 147 because 77*147=11319. | division |
734,535 | percentages | easy | What is 8% of 140? | 11.2 | Calculate 8/100 * 140 = 0.08*140 = 11.2. | percentages |
734,536 | word_problems | easy | If you have 42 apples and you buy 25 more apples, how many apples do you have in total? | 67 | Add initial 42 plus bought 25: 42+25=67. | addition_word |
734,537 | word_problems | easy | If you have 33 candies and you buy 20 more candies, how many candies do you have in total? | 53 | Add initial 33 plus bought 20: 33+20=53. | addition_word |
734,538 | 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 |
734,539 | percentages | easy | What is 2% of 385? | 7.7 | Calculate 2/100 * 385 = 0.02*385 = 7.7. | percentages |
734,540 | 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 |
734,541 | calculus | medium | What is the derivative of 6x^7 with respect to x? | 42x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^7] = 6*7*x^6 = 42x^6. | derivative |
734,542 | statistics | easy | What is the mean (average) of 82, 100, 99, 69? | 87.5 | Mean = sum/count. Sum = 82+100+99+69=350. Count=4. Mean=350/4=87.5. | mean |
734,543 | arithmetic | easy | What is 252 + 780 * 4? Remember order of operations. | 3372 | Order of operations (PEMDAS): first 780*4=3120, then 252+3120=3372. | basic_operations |
734,544 | number_theory | medium | What is the GCD (greatest common divisor) of 44 and 78? | 2 | Find greatest number dividing both 44 and 78. Divisors common, greatest is 2. | gcd |
734,545 | roots | easy | What is the square root of 1681? | 41 | Find number that when squared gives 1681. 41*41=1681, so sqrt(1681)=41. | square_roots |
734,546 | arithmetic | easy | What is 10875 / 25? | 435 | Divide: 10875 ÷ 25 = 435 because 25*435=10875. | division |
734,547 | arithmetic | easy | What is 272 + 63 * 53? Remember order of operations. | 3611 | Order of operations (PEMDAS): first 63*53=3339, then 272+3339=3611. | basic_operations |
734,548 | 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 |
734,549 | arithmetic | easy | What is 85 + 2 * 1? Remember order of operations. | 87 | Order of operations (PEMDAS): first 2*1=2, then 85+2=87. | basic_operations |
734,550 | word_problems | easy | If you have 69 books and you buy 1 more books, how many books do you have in total? | 70 | Add initial 69 plus bought 1: 69+1=70. | addition_word |
734,551 | algebra | medium | Solve for x: x^2 - 81 = 0 | x = -9, 9 | Factor: (x - -9)(x - 9) = x^2 -(0)x + -81 = 0. So x = -9 or 9. Check sum = 0, product = -81. | quadratic |
734,552 | exponents | easy | What is 7^3? | 343 | 7^3 means multiply 7 by itself 3 times: 7*7*7 = 343. | exponents |
734,553 | fractions | medium | What is 10/8 - 11/3? Give as simplified fraction. | -29/12 | Common denominator 24. Numerator 30-88=-58. So -58/24 simplifies to -29/12. | fraction_operations |
734,554 | arithmetic | easy | What is 427 - 354? | 73 | Subtract: 427 - 354 = 73. | basic_operations |
734,555 | arithmetic | easy | What is 13536 / 72? | 188 | Divide: 13536 ÷ 72 = 188 because 72*188=13536. | division |
734,556 | geometry | easy | Find the perimeter of a rectangle with length 68 and width 88. | 312 | Perimeter = 2*(length+width) = 2*(68+88) = 2*156 = 312. | rectangle_perim |
734,557 | calculus | medium | What is the derivative of 2x^2 with respect to x? | 4x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^2] = 2*2*x^1 = 4x. | derivative |
734,558 | arithmetic | easy | What is 671 - 19? | 652 | Subtract: 671 - 19 = 652. | basic_operations |
734,559 | geometry | easy | Find the area of a triangle with base 53 and height 85. | 2252.5 | Area = 0.5*base*height = 0.5*53*85 = 2252.5. | triangle_area |
734,560 | arithmetic | easy | What is 626 + 964? | 1590 | Add the two numbers: 626 + 964 = 1590. | basic_operations |
734,561 | 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 |
734,562 | 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 |
734,563 | arithmetic | easy | What is 728 + 417 * 61? Remember order of operations. | 26165 | Order of operations (PEMDAS): first 417*61=25437, then 728+25437=26165. | basic_operations |
734,564 | 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 |
734,565 | number_theory | medium | What is the GCD (greatest common divisor) of 54 and 92? | 2 | Find greatest number dividing both 54 and 92. Divisors common, greatest is 2. | gcd |
734,566 | arithmetic | easy | What is 519 + 912? | 1431 | Add the two numbers: 519 + 912 = 1431. | basic_operations |
734,567 | calculus | medium | What is the derivative of 9x^5 with respect to x? | 45x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^5] = 9*5*x^4 = 45x^4. | derivative |
734,568 | arithmetic | easy | What is 27081 / 59? | 459 | Divide: 27081 ÷ 59 = 459 because 59*459=27081. | division |
734,569 | number_theory | medium | What is the GCD (greatest common divisor) of 12 and 30? | 6 | Find greatest number dividing both 12 and 30. Divisors common, greatest is 6. | gcd |
734,570 | arithmetic | easy | What is 36270 / 90? | 403 | Divide: 36270 ÷ 90 = 403 because 90*403=36270. | division |
734,571 | arithmetic | easy | What is 241 + 713? | 954 | Add the two numbers: 241 + 713 = 954. | basic_operations |
734,572 | arithmetic | easy | What is 750 + 842? | 1592 | Add the two numbers: 750 + 842 = 1592. | basic_operations |
734,573 | 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 |
734,574 | calculus | medium | What is the derivative of 8x^7 with respect to x? | 56x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^7] = 8*7*x^6 = 56x^6. | derivative |
734,575 | algebra | easy | Solve for x: 6x + 41 = 11 | -5 | Subtract 41 from both sides: 6x = 11-41=-30. Then divide by 6: x = -30/6 = -5. | linear_equation |
734,576 | number_theory | medium | What is the GCD (greatest common divisor) of 87 and 9? | 3 | Find greatest number dividing both 87 and 9. Divisors common, greatest is 3. | gcd |
734,577 | algebra | easy | Solve for x: 11x + 31 = -123 | -14 | Subtract 31 from both sides: 11x = -123-31=-154. Then divide by 11: x = -154/11 = -14. | linear_equation |
734,578 | statistics | easy | What is the mean (average) of 25, 24, 35, 89, 96? | 53.8 | Mean = sum/count. Sum = 25+24+35+89+96=269. Count=5. Mean=269/5=53.8. | mean |
734,579 | arithmetic | easy | What is 357 + 261? | 618 | Add the two numbers: 357 + 261 = 618. | basic_operations |
734,580 | arithmetic | easy | What is 933 + 707? | 1640 | Add the two numbers: 933 + 707 = 1640. | basic_operations |
734,581 | arithmetic | easy | What is 1131 divided by 67? Give answer to 2 decimal places. | 16.88 | Calculate 1131/ 67 = 16.8806, rounded to 2 decimals is 16.88. | division |
734,582 | geometry | easy | Find the area of a rectangle with length 80 and width 58. | 4640 | Area = length * width = 80*58 = 4640. | rectangle_area |
734,583 | statistics | easy | What is the mean (average) of 42, 26, 6? | 24.67 | Mean = sum/count. Sum = 42+26+6=74. Count=3. Mean=74/3=24.67. | mean |
734,584 | arithmetic | easy | What is 750 - 149? | 601 | Subtract: 750 - 149 = 601. | basic_operations |
734,585 | arithmetic | easy | What is 8362 divided by 20? Give answer to 2 decimal places. | 418.1 | Calculate 8362/ 20 = 418.1000, rounded to 2 decimals is 418.1. | division |
734,586 | calculus | medium | What is the derivative of 7x^7 with respect to x? | 49x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^7] = 7*7*x^6 = 49x^6. | derivative |
734,587 | algebra | medium | Solve for x: x^2 - 4x + 4 = 0 | x = 2 | Factor as (x - 2)^2 = 0, so root is 2 (double root). Sum of roots = 4, product = 4. | quadratic |
734,588 | arithmetic | easy | What is 26784 / 72? | 372 | Divide: 26784 ÷ 72 = 372 because 72*372=26784. | division |
734,589 | arithmetic | easy | What is 644 - 410? | 234 | Subtract: 644 - 410 = 234. | basic_operations |
734,590 | arithmetic | easy | What is 535 + 805? | 1340 | Add the two numbers: 535 + 805 = 1340. | basic_operations |
734,591 | percentages | easy | What is 2% of 460? | 9.2 | Calculate 2/100 * 460 = 0.02*460 = 9.2. | percentages |
734,592 | number_theory | medium | What is the GCD (greatest common divisor) of 38 and 9? | 1 | Find greatest number dividing both 38 and 9. Divisors common, greatest is 1. | gcd |
734,593 | exponents | easy | What is 2^4? | 16 | 2^4 means multiply 2 by itself 4 times: 2*2*2*2 = 16. | exponents |
734,594 | statistics | easy | What is the mean (average) of 86, 59, 17, 6, 21? | 37.8 | Mean = sum/count. Sum = 86+59+17+6+21=189. Count=5. Mean=189/5=37.8. | mean |
734,595 | 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 |
734,596 | algebra | medium | Solve for x: x^2 - 17x + 72 = 0 | x = 8, 9 | Factor: (x - 8)(x - 9) = x^2 -(17)x + 72 = 0. So x = 8 or 9. Check sum = 17, product = 72. | quadratic |
734,597 | arithmetic | easy | What is 21 + 72 * 1? Remember order of operations. | 93 | Order of operations (PEMDAS): first 72*1=72, then 21+72=93. | basic_operations |
734,598 | exponents | easy | What is 2^3? | 8 | 2^3 means multiply 2 by itself 3 times: 2*2*2 = 8. | exponents |
734,599 | arithmetic | easy | What is 9648 / 67? | 144 | Divide: 9648 ÷ 67 = 144 because 67*144=9648. | division |
734,600 | arithmetic | easy | What is 59 + 66 * 9? Remember order of operations. | 653 | Order of operations (PEMDAS): first 66*9=594, then 59+594=653. | basic_operations |
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