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 |
|---|---|---|---|---|---|---|
732,501 | percentages | easy | What is 87% of 486? | 422.82 | Calculate 87/100 * 486 = 0.87*486 = 422.82. | percentages |
732,502 | calculus | medium | What is the derivative of 9x^2 with respect to x? | 18x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^2] = 9*2*x^1 = 18x. | derivative |
732,503 | 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 |
732,504 | calculus | medium | What is the derivative of 5x^7 with respect to x? | 35x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^7] = 5*7*x^6 = 35x^6. | derivative |
732,505 | arithmetic | easy | What is 532 + 93 * 1? Remember order of operations. | 625 | Order of operations (PEMDAS): first 93*1=93, then 532+93=625. | basic_operations |
732,506 | 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 |
732,507 | number_theory | medium | What is the LCM (least common multiple) of 20 and 78? | 780 | LCM = |20*78| / GCD(20,78). GCD=2, so LCM=1560/2=780. | lcm |
732,508 | number_theory | medium | What is the LCM (least common multiple) of 16 and 85? | 1360 | LCM = |16*85| / GCD(16,85). GCD=1, so LCM=1360/1=1360. | lcm |
732,509 | arithmetic | easy | What is 3526 divided by 40? Give answer to 2 decimal places. | 88.15 | Calculate 3526/ 40 = 88.1500, rounded to 2 decimals is 88.15. | division |
732,510 | algebra | easy | Solve for x: 2x - 42 = -30 | 6 | Add 42 to both sides: 2x = -30+42=12. Then x = 12/2 = 6. | linear_equation |
732,511 | statistics | easy | What is the mean (average) of 54, 79, 100, 39? | 68 | Mean = sum/count. Sum = 54+79+100+39=272. Count=4. Mean=272/4=68.0. | mean |
732,512 | arithmetic | easy | What is 527 - 283? | 244 | Subtract: 527 - 283 = 244. | basic_operations |
732,513 | algebra | medium | Solve for x: x^2 + 11x + 18 = 0 | x = -2, -9 | Factor: (x - -2)(x - -9) = x^2 -(-11)x + 18 = 0. So x = -2 or -9. Check sum = -11, product = 18. | quadratic |
732,514 | 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 |
732,515 | arithmetic | easy | What is 6582 divided by 21? Give answer to 2 decimal places. | 313.43 | Calculate 6582/ 21 = 313.4286, rounded to 2 decimals is 313.43. | division |
732,516 | 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 |
732,517 | geometry | easy | Find the area of a triangle with base 15 and height 52. | 390 | Area = 0.5*base*height = 0.5*15*52 = 390. | triangle_area |
732,518 | geometry | easy | Find the area of a rectangle with length 21 and width 56. | 1176 | Area = length * width = 21*56 = 1176. | rectangle_area |
732,519 | exponents | easy | What is 4^4? | 256 | 4^4 means multiply 4 by itself 4 times: 4*4*4*4 = 256. | exponents |
732,520 | algebra | medium | Solve for x: x^2 + 11x + 18 = 0 | x = -2, -9 | Factor: (x - -2)(x - -9) = x^2 -(-11)x + 18 = 0. So x = -2 or -9. Check sum = -11, product = 18. | quadratic |
732,521 | statistics | easy | What is the mean (average) of 4, 79, 47, 48, 61? | 47.8 | Mean = sum/count. Sum = 4+79+47+48+61=239. Count=5. Mean=239/5=47.8. | mean |
732,522 | 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 |
732,523 | algebra | medium | Solve for x: x^2 + 4x - 21 = 0 | x = 3, -7 | Factor: (x - 3)(x - -7) = x^2 -(-4)x + -21 = 0. So x = 3 or -7. Check sum = -4, product = -21. | quadratic |
732,524 | arithmetic | easy | What is 9037 divided by 36? Give answer to 2 decimal places. | 251.03 | Calculate 9037/ 36 = 251.0278, rounded to 2 decimals is 251.03. | division |
732,525 | algebra | easy | Solve for x: 10x - 5 = 35 | 4 | Add 5 to both sides: 10x = 35+5=40. Then x = 40/10 = 4. | linear_equation |
732,526 | arithmetic | easy | What is 996 + 397? | 1393 | Add the two numbers: 996 + 397 = 1393. | basic_operations |
732,527 | algebra | medium | Solve for x: x^2 - 4x - 60 = 0 | x = -6, 10 | Factor: (x - -6)(x - 10) = x^2 -(4)x + -60 = 0. So x = -6 or 10. Check sum = 4, product = -60. | quadratic |
732,528 | word_problems | easy | If you have 23 candies and you buy 31 more candies, how many candies do you have in total? | 54 | Add initial 23 plus bought 31: 23+31=54. | addition_word |
732,529 | 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 |
732,530 | geometry | easy | Find the area of a triangle with base 7 and height 73. | 255.5 | Area = 0.5*base*height = 0.5*7*73 = 255.5. | triangle_area |
732,531 | percentages | easy | What is 43% of 692? | 297.56 | Calculate 43/100 * 692 = 0.43*692 = 297.56. | percentages |
732,532 | arithmetic | easy | What is 5103 / 81? | 63 | Divide: 5103 ÷ 81 = 63 because 81*63=5103. | division |
732,533 | geometry | easy | Find the perimeter of a rectangle with length 26 and width 18. | 88 | Perimeter = 2*(length+width) = 2*(26+18) = 2*44 = 88. | rectangle_perim |
732,534 | percentages | easy | What is 5% of 509? | 25.45 | Calculate 5/100 * 509 = 0.05*509 = 25.45. | percentages |
732,535 | word_problems | easy | If you have 73 candies and you buy 34 more candies, how many candies do you have in total? | 107 | Add initial 73 plus bought 34: 73+34=107. | addition_word |
732,536 | word_problems | easy | If you have 83 candies and you buy 15 more candies, how many candies do you have in total? | 98 | Add initial 83 plus bought 15: 83+15=98. | addition_word |
732,537 | arithmetic | easy | What is 926 + 528? | 1454 | Add the two numbers: 926 + 528 = 1454. | basic_operations |
732,538 | exponents | easy | What is 12^4? | 20736 | 12^4 means multiply 12 by itself 4 times: 12*12*12*12 = 20736. | exponents |
732,539 | arithmetic | easy | What is 619 - 422? | 197 | Subtract: 619 - 422 = 197. | basic_operations |
732,540 | calculus | medium | What is the derivative of 2x^3 with respect to x? | 6x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^3] = 2*3*x^2 = 6x^2. | derivative |
732,541 | 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 |
732,542 | exponents | easy | What is 7^3? | 343 | 7^3 means multiply 7 by itself 3 times: 7*7*7 = 343. | exponents |
732,543 | calculus | medium | What is the derivative of 8x^8 with respect to x? | 64x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^8] = 8*8*x^7 = 64x^7. | derivative |
732,544 | 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 |
732,545 | fractions | medium | What is 10/3 - 16/13? Give as simplified fraction. | 82/39 | Common denominator 39. Numerator 130-48=82. So 82/39 simplifies to 82/39. | fraction_operations |
732,546 | number_theory | medium | What is the GCD (greatest common divisor) of 29 and 29? | 29 | Find greatest number dividing both 29 and 29. Divisors common, greatest is 29. | gcd |
732,547 | calculus | medium | What is the derivative of 2x^3 with respect to x? | 6x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^3] = 2*3*x^2 = 6x^2. | derivative |
732,548 | algebra | easy | Solve for x: 12x - 14 = 94 | 9 | Add 14 to both sides: 12x = 94+14=108. Then x = 108/12 = 9. | linear_equation |
732,549 | statistics | easy | What is the mean (average) of 5, 26, 31? | 20.67 | Mean = sum/count. Sum = 5+26+31=62. Count=3. Mean=62/3=20.67. | mean |
732,550 | statistics | easy | What is the mean (average) of 29, 57, 88, 4? | 44.5 | Mean = sum/count. Sum = 29+57+88+4=178. Count=4. Mean=178/4=44.5. | mean |
732,551 | geometry | easy | Find the perimeter of a rectangle with length 68 and width 73. | 282 | Perimeter = 2*(length+width) = 2*(68+73) = 2*141 = 282. | rectangle_perim |
732,552 | 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 |
732,553 | geometry | easy | Find the area of a triangle with base 61 and height 2. | 61 | Area = 0.5*base*height = 0.5*61*2 = 61. | triangle_area |
732,554 | fractions | medium | What is 9/5 * 17/5? Give as simplified fraction. | 153/25 | Multiply numerators: 9*17=153. Denominators: 5*5=25. Simplify by gcd 1 to get 153/25. | fraction_operations |
732,555 | exponents | easy | What is 11^2? | 121 | 11^2 means multiply 11 by itself 2 times: 11*11 = 121. | exponents |
732,556 | arithmetic | easy | What is 643 + 121? | 764 | Add the two numbers: 643 + 121 = 764. | basic_operations |
732,557 | word_problems | easy | If you have 68 pencils and you buy 29 more pencils, how many pencils do you have in total? | 97 | Add initial 68 plus bought 29: 68+29=97. | addition_word |
732,558 | 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 |
732,559 | calculus | medium | What is the derivative of 5x^2 with respect to x? | 10x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^2] = 5*2*x^1 = 10x. | derivative |
732,560 | algebra | medium | Solve for x: x^2 + 7x + 12 = 0 | x = -4, -3 | Factor: (x - -4)(x - -3) = x^2 -(-7)x + 12 = 0. So x = -4 or -3. Check sum = -7, product = 12. | quadratic |
732,561 | word_problems | easy | If you have 28 candies and you buy 44 more candies, how many candies do you have in total? | 72 | Add initial 28 plus bought 44: 28+44=72. | addition_word |
732,562 | geometry | easy | Find the perimeter of a rectangle with length 47 and width 38. | 170 | Perimeter = 2*(length+width) = 2*(47+38) = 2*85 = 170. | rectangle_perim |
732,563 | fractions | medium | What is 13/2 - 10/6? Give as simplified fraction. | 29/6 | Common denominator 12. Numerator 78-20=58. So 58/12 simplifies to 29/6. | fraction_operations |
732,564 | fractions | medium | What is 6/7 * 14/14? Give as simplified fraction. | 6/7 | Multiply numerators: 6*14=84. Denominators: 7*14=98. Simplify by gcd 14 to get 6/7. | fraction_operations |
732,565 | number_theory | medium | What is the GCD (greatest common divisor) of 75 and 2? | 1 | Find greatest number dividing both 75 and 2. Divisors common, greatest is 1. | gcd |
732,566 | algebra | medium | Solve for x: x^2 - 11x + 30 = 0 | x = 6, 5 | Factor: (x - 6)(x - 5) = x^2 -(11)x + 30 = 0. So x = 6 or 5. Check sum = 11, product = 30. | quadratic |
732,567 | roots | easy | What is the square root of 676? | 26 | Find number that when squared gives 676. 26*26=676, so sqrt(676)=26. | square_roots |
732,568 | arithmetic | easy | What is 829 + 278 * 50? Remember order of operations. | 14729 | Order of operations (PEMDAS): first 278*50=13900, then 829+13900=14729. | basic_operations |
732,569 | word_problems | easy | If you have 63 books and you buy 40 more books, how many books do you have in total? | 103 | Add initial 63 plus bought 40: 63+40=103. | addition_word |
732,570 | arithmetic | easy | What is 955 - 487? | 468 | Subtract: 955 - 487 = 468. | basic_operations |
732,571 | arithmetic | easy | What is 957 + 111? | 1068 | Add the two numbers: 957 + 111 = 1068. | basic_operations |
732,572 | calculus | medium | What is the derivative of 1x^4 with respect to x? | 4x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^4] = 1*4*x^3 = 4x^3. | derivative |
732,573 | algebra | medium | Solve for x: x^2 + 5x = 0 | x = 0, -5 | Factor: (x - 0)(x - -5) = x^2 -(-5)x + 0 = 0. So x = 0 or -5. Check sum = -5, product = 0. | quadratic |
732,574 | calculus | medium | What is the derivative of 5x^2 with respect to x? | 10x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^2] = 5*2*x^1 = 10x. | derivative |
732,575 | arithmetic | easy | What is 292 + 423? | 715 | Add the two numbers: 292 + 423 = 715. | basic_operations |
732,576 | number_theory | medium | What is the GCD (greatest common divisor) of 60 and 35? | 5 | Find greatest number dividing both 60 and 35. Divisors common, greatest is 5. | gcd |
732,577 | algebra | medium | Solve for x: x^2 + 6x - 40 = 0 | x = 4, -10 | Factor: (x - 4)(x - -10) = x^2 -(-6)x + -40 = 0. So x = 4 or -10. Check sum = -6, product = -40. | quadratic |
732,578 | arithmetic | easy | What is 36234 / 99? | 366 | Divide: 36234 ÷ 99 = 366 because 99*366=36234. | division |
732,579 | word_problems | easy | If you have 54 candies and you buy 2 more candies, how many candies do you have in total? | 56 | Add initial 54 plus bought 2: 54+2=56. | addition_word |
732,580 | word_problems | easy | If you have 78 apples and you buy 8 more apples, how many apples do you have in total? | 86 | Add initial 78 plus bought 8: 78+8=86. | addition_word |
732,581 | arithmetic | easy | What is 656 + 606 * 97? Remember order of operations. | 59438 | Order of operations (PEMDAS): first 606*97=58782, then 656+58782=59438. | basic_operations |
732,582 | geometry | easy | Find the area of a circle with radius 7. Use pi=3.14159, round to 2 decimals. | 153.94 | Area = pi*r^2 = 3.14159*7^2 = 3.14159*49 = 153.94. | circle_area |
732,583 | 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 |
732,584 | algebra | medium | Solve for x: x^2 - 12x + 20 = 0 | x = 10, 2 | Factor: (x - 10)(x - 2) = x^2 -(12)x + 20 = 0. So x = 10 or 2. Check sum = 12, product = 20. | quadratic |
732,585 | algebra | easy | Solve for x: 19x - 34 = -376 | -18 | Add 34 to both sides: 19x = -376+34=-342. Then x = -342/19 = -18. | linear_equation |
732,586 | arithmetic | easy | What is 62 + 61 * 89? Remember order of operations. | 5491 | Order of operations (PEMDAS): first 61*89=5429, then 62+5429=5491. | basic_operations |
732,587 | 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 |
732,588 | geometry | easy | Find the area of a circle with radius 45. Use pi=3.14159, round to 2 decimals. | 6361.73 | Area = pi*r^2 = 3.14159*45^2 = 3.14159*2025 = 6361.73. | circle_area |
732,589 | algebra | medium | Solve for x: x^2 - 8x + 15 = 0 | x = 3, 5 | Factor: (x - 3)(x - 5) = x^2 -(8)x + 15 = 0. So x = 3 or 5. Check sum = 8, product = 15. | quadratic |
732,590 | word_problems | easy | If you have 43 apples and you buy 22 more apples, how many apples do you have in total? | 65 | Add initial 43 plus bought 22: 43+22=65. | addition_word |
732,591 | 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 |
732,592 | percentages | easy | What is 48% of 901? | 432.48 | Calculate 48/100 * 901 = 0.48*901 = 432.48. | percentages |
732,593 | algebra | easy | Solve for x: 7x - 49 = 70 | 17 | Add 49 to both sides: 7x = 70+49=119. Then x = 119/7 = 17. | linear_equation |
732,594 | exponents | easy | What is 7^5? | 16807 | 7^5 means multiply 7 by itself 5 times: 7*7*7*7*7 = 16807. | exponents |
732,595 | algebra | medium | Solve for x: x^2 - 49 = 0 | x = 7, -7 | Factor: (x - 7)(x - -7) = x^2 -(0)x + -49 = 0. So x = 7 or -7. Check sum = 0, product = -49. | quadratic |
732,596 | algebra | easy | Solve for x: 9x - 4 = 5 | 1 | Add 4 to both sides: 9x = 5+4=9. Then x = 9/9 = 1. | linear_equation |
732,597 | word_problems | easy | If you have 14 candies and you buy 34 more candies, how many candies do you have in total? | 48 | Add initial 14 plus bought 34: 14+34=48. | addition_word |
732,598 | word_problems | easy | If you have 43 pencils and you buy 19 more pencils, how many pencils do you have in total? | 62 | Add initial 43 plus bought 19: 43+19=62. | addition_word |
732,599 | algebra | easy | Solve for x: 12x + 46 = -38 | -7 | Subtract 46 from both sides: 12x = -38-46=-84. Then divide by 12: x = -84/12 = -7. | linear_equation |
732,600 | word_problems | easy | If you have 53 books and you buy 4 more books, how many books do you have in total? | 57 | Add initial 53 plus bought 4: 53+4=57. | addition_word |
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