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 |
|---|---|---|---|---|---|---|
10,501 | percentages | easy | What is 25% of 669? | 167.25 | Calculate 25/100 * 669 = 0.25*669 = 167.25. | percentages |
10,502 | arithmetic | easy | What is 9 * 40? | 360 | Multiply: 9 * 40 = 360. | basic_operations |
10,503 | 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 |
10,504 | arithmetic | easy | What is 476 + 24 * 19? Remember order of operations. | 932 | Order of operations (PEMDAS): first 24*19=456, then 476+456=932. | basic_operations |
10,505 | 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 |
10,506 | 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 |
10,507 | calculus | medium | What is the derivative of 5x^5 with respect to x? | 25x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^5] = 5*5*x^4 = 25x^4. | derivative |
10,508 | arithmetic | easy | What is 13608 / 42? | 324 | Divide: 13608 ÷ 42 = 324 because 42*324=13608. | division |
10,509 | exponents | easy | What is 10^5? | 100000 | 10^5 means multiply 10 by itself 5 times: 10*10*10*10*10 = 100000. | exponents |
10,510 | 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 |
10,511 | arithmetic | easy | What is 27060 / 55? | 492 | Divide: 27060 ÷ 55 = 492 because 55*492=27060. | division |
10,512 | geometry | easy | Find the perimeter of a rectangle with length 59 and width 90. | 298 | Perimeter = 2*(length+width) = 2*(59+90) = 2*149 = 298. | rectangle_perim |
10,513 | word_problems | easy | If you have 36 books and you buy 4 more books, how many books do you have in total? | 40 | Add initial 36 plus bought 4: 36+4=40. | addition_word |
10,514 | exponents | easy | What is 2^5? | 32 | 2^5 means multiply 2 by itself 5 times: 2*2*2*2*2 = 32. | exponents |
10,515 | roots | easy | What is the square root of 961? | 31 | Find number that when squared gives 961. 31*31=961, so sqrt(961)=31. | square_roots |
10,516 | algebra | medium | Solve for x: x^2 + 4x - 5 = 0 | x = 1, -5 | Factor: (x - 1)(x - -5) = x^2 -(-4)x + -5 = 0. So x = 1 or -5. Check sum = -4, product = -5. | quadratic |
10,517 | arithmetic | easy | What is 235 - 162? | 73 | Subtract: 235 - 162 = 73. | basic_operations |
10,518 | fractions | medium | What is 15/16 - 4/7? Give as simplified fraction. | 41/112 | Common denominator 112. Numerator 105-64=41. So 41/112 simplifies to 41/112. | fraction_operations |
10,519 | 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 |
10,520 | arithmetic | easy | What is 39 * 78? | 3042 | Multiply: 39 * 78 = 3042. | basic_operations |
10,521 | arithmetic | easy | What is 695 - 394? | 301 | Subtract: 695 - 394 = 301. | basic_operations |
10,522 | arithmetic | easy | What is 36 * 41? | 1476 | Multiply: 36 * 41 = 1476. | basic_operations |
10,523 | 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 |
10,524 | exponents | easy | What is 8^4? | 4096 | 8^4 means multiply 8 by itself 4 times: 8*8*8*8 = 4096. | exponents |
10,525 | 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 |
10,526 | percentages | easy | What is 75% of 7? | 5.25 | Calculate 75/100 * 7 = 0.75*7 = 5.25. | percentages |
10,527 | arithmetic | easy | What is 265 + 75? | 340 | Add the two numbers: 265 + 75 = 340. | basic_operations |
10,528 | algebra | easy | Solve for x: 17x - 2 = 185 | 11 | Add 2 to both sides: 17x = 185+2=187. Then x = 187/17 = 11. | linear_equation |
10,529 | number_theory | medium | What is the LCM (least common multiple) of 43 and 33? | 1419 | LCM = |43*33| / GCD(43,33). GCD=1, so LCM=1419/1=1419. | lcm |
10,530 | arithmetic | easy | What is 61 * 98? | 5978 | Multiply: 61 * 98 = 5978. | basic_operations |
10,531 | number_theory | medium | What is the GCD (greatest common divisor) of 98 and 6? | 2 | Find greatest number dividing both 98 and 6. Divisors common, greatest is 2. | gcd |
10,532 | exponents | easy | What is 8^5? | 32768 | 8^5 means multiply 8 by itself 5 times: 8*8*8*8*8 = 32768. | exponents |
10,533 | arithmetic | easy | What is 97 * 30? | 2910 | Multiply: 97 * 30 = 2910. | basic_operations |
10,534 | algebra | easy | Solve for x: 11x - 45 = -177 | -12 | Add 45 to both sides: 11x = -177+45=-132. Then x = -132/11 = -12. | linear_equation |
10,535 | arithmetic | easy | What is 817 - 59? | 758 | Subtract: 817 - 59 = 758. | basic_operations |
10,536 | word_problems | easy | If you have 66 apples and you buy 46 more apples, how many apples do you have in total? | 112 | Add initial 66 plus bought 46: 66+46=112. | addition_word |
10,537 | statistics | easy | What is the mean (average) of 35, 90, 55? | 60 | Mean = sum/count. Sum = 35+90+55=180. Count=3. Mean=180/3=60.0. | mean |
10,538 | arithmetic | easy | What is 690 + 255 * 14? Remember order of operations. | 4260 | Order of operations (PEMDAS): first 255*14=3570, then 690+3570=4260. | basic_operations |
10,539 | exponents | easy | What is 2^5? | 32 | 2^5 means multiply 2 by itself 5 times: 2*2*2*2*2 = 32. | exponents |
10,540 | algebra | easy | Solve for x: 3x - 1 = -10 | -3 | Add 1 to both sides: 3x = -10+1=-9. Then x = -9/3 = -3. | linear_equation |
10,541 | number_theory | medium | What is the GCD (greatest common divisor) of 62 and 42? | 2 | Find greatest number dividing both 62 and 42. Divisors common, greatest is 2. | gcd |
10,542 | statistics | easy | What is the mean (average) of 37, 83, 23, 92? | 58.75 | Mean = sum/count. Sum = 37+83+23+92=235. Count=4. Mean=235/4=58.75. | mean |
10,543 | fractions | medium | What is 5/19 * 13/17? Give as simplified fraction. | 65/323 | Multiply numerators: 5*13=65. Denominators: 19*17=323. Simplify by gcd 1 to get 65/323. | fraction_operations |
10,544 | roots | easy | What is the square root of 36? | 6 | Find number that when squared gives 36. 6*6=36, so sqrt(36)=6. | square_roots |
10,545 | number_theory | medium | What is the LCM (least common multiple) of 88 and 7? | 616 | LCM = |88*7| / GCD(88,7). GCD=1, so LCM=616/1=616. | lcm |
10,546 | 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 |
10,547 | arithmetic | easy | What is 368 + 356 * 96? Remember order of operations. | 34544 | Order of operations (PEMDAS): first 356*96=34176, then 368+34176=34544. | basic_operations |
10,548 | 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 |
10,549 | 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 |
10,550 | 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 |
10,551 | 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 |
10,552 | exponents | easy | What is 2^3? | 8 | 2^3 means multiply 2 by itself 3 times: 2*2*2 = 8. | exponents |
10,553 | 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 |
10,554 | percentages | easy | What is 50% of 257? | 128.5 | Calculate 50/100 * 257 = 0.5*257 = 128.5. | percentages |
10,555 | 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 |
10,556 | arithmetic | easy | What is 583 + 350 * 48? Remember order of operations. | 17383 | Order of operations (PEMDAS): first 350*48=16800, then 583+16800=17383. | basic_operations |
10,557 | 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 |
10,558 | arithmetic | easy | What is 225 - 213? | 12 | Subtract: 225 - 213 = 12. | basic_operations |
10,559 | fractions | medium | What is 6/6 + 9/13? Give as simplified fraction. | 22/13 | Common denominator 6*13=78. 6/6=78/78, 9/13=54/78. Sum = 132/78 = 22/13 simplified. | fraction_operations |
10,560 | algebra | easy | Solve for x: 12x + 0 = 216 | 18 | Subtract 0 from both sides: 12x = 216-0=216. Then divide by 12: x = 216/12 = 18. | linear_equation |
10,561 | calculus | medium | What is the derivative of 10x^2 with respect to x? | 20x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^2] = 10*2*x^1 = 20x. | derivative |
10,562 | algebra | easy | Solve for x: 3x - 32 = -11 | 7 | Add 32 to both sides: 3x = -11+32=21. Then x = 21/3 = 7. | linear_equation |
10,563 | word_problems | easy | If you have 99 pencils and you buy 20 more pencils, how many pencils do you have in total? | 119 | Add initial 99 plus bought 20: 99+20=119. | addition_word |
10,564 | calculus | medium | What is the derivative of 8x^6 with respect to x? | 48x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^6] = 8*6*x^5 = 48x^5. | derivative |
10,565 | exponents | easy | What is 10^5? | 100000 | 10^5 means multiply 10 by itself 5 times: 10*10*10*10*10 = 100000. | exponents |
10,566 | 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 |
10,567 | fractions | medium | What is 3/20 + 14/9? Give as simplified fraction. | 307/180 | Common denominator 20*9=180. 3/20=27/180, 14/9=280/180. Sum = 307/180 = 307/180 simplified. | fraction_operations |
10,568 | number_theory | medium | What is the GCD (greatest common divisor) of 21 and 64? | 1 | Find greatest number dividing both 21 and 64. Divisors common, greatest is 1. | gcd |
10,569 | geometry | easy | Find the perimeter of a rectangle with length 50 and width 74. | 248 | Perimeter = 2*(length+width) = 2*(50+74) = 2*124 = 248. | rectangle_perim |
10,570 | algebra | medium | Solve for x: x^2 + 4x - 5 = 0 | x = -5, 1 | Factor: (x - -5)(x - 1) = x^2 -(-4)x + -5 = 0. So x = -5 or 1. Check sum = -4, product = -5. | quadratic |
10,571 | arithmetic | easy | What is 433 + 257 * 18? Remember order of operations. | 5059 | Order of operations (PEMDAS): first 257*18=4626, then 433+4626=5059. | basic_operations |
10,572 | arithmetic | easy | What is 4722 divided by 19? Give answer to 2 decimal places. | 248.53 | Calculate 4722/ 19 = 248.5263, rounded to 2 decimals is 248.53. | division |
10,573 | arithmetic | easy | What is 114 + 500? | 614 | Add the two numbers: 114 + 500 = 614. | basic_operations |
10,574 | arithmetic | easy | What is 846 + 585 * 65? Remember order of operations. | 38871 | Order of operations (PEMDAS): first 585*65=38025, then 846+38025=38871. | basic_operations |
10,575 | arithmetic | easy | What is 45 * 29? | 1305 | Multiply: 45 * 29 = 1305. | basic_operations |
10,576 | arithmetic | easy | What is 431 + 808 * 20? Remember order of operations. | 16591 | Order of operations (PEMDAS): first 808*20=16160, then 431+16160=16591. | basic_operations |
10,577 | 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 |
10,578 | number_theory | medium | What is the GCD (greatest common divisor) of 54 and 61? | 1 | Find greatest number dividing both 54 and 61. Divisors common, greatest is 1. | gcd |
10,579 | number_theory | medium | What is the LCM (least common multiple) of 63 and 59? | 3717 | LCM = |63*59| / GCD(63,59). GCD=1, so LCM=3717/1=3717. | lcm |
10,580 | calculus | medium | What is the derivative of 5x^6 with respect to x? | 30x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^6] = 5*6*x^5 = 30x^5. | derivative |
10,581 | algebra | medium | Solve for x: x^2 - 15x + 54 = 0 | x = 9, 6 | Factor: (x - 9)(x - 6) = x^2 -(15)x + 54 = 0. So x = 9 or 6. Check sum = 15, product = 54. | quadratic |
10,582 | exponents | easy | What is 3^2? | 9 | 3^2 means multiply 3 by itself 2 times: 3*3 = 9. | exponents |
10,583 | exponents | easy | What is 2^2? | 4 | 2^2 means multiply 2 by itself 2 times: 2*2 = 4. | exponents |
10,584 | fractions | medium | What is 6/17 + 7/2? Give as simplified fraction. | 131/34 | Common denominator 17*2=34. 6/17=12/34, 7/2=119/34. Sum = 131/34 = 131/34 simplified. | fraction_operations |
10,585 | algebra | easy | Solve for x: 10x + 48 = 178 | 13 | Subtract 48 from both sides: 10x = 178-48=130. Then divide by 10: x = 130/10 = 13. | linear_equation |
10,586 | algebra | medium | Solve for x: x^2 - 3x - 4 = 0 | x = 4, -1 | Factor: (x - 4)(x - -1) = x^2 -(3)x + -4 = 0. So x = 4 or -1. Check sum = 3, product = -4. | quadratic |
10,587 | calculus | medium | What is the derivative of 6x^3 with respect to x? | 18x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^3] = 6*3*x^2 = 18x^2. | derivative |
10,588 | algebra | easy | Solve for x: 8x + 50 = 58 | 1 | Subtract 50 from both sides: 8x = 58-50=8. Then divide by 8: x = 8/8 = 1. | linear_equation |
10,589 | 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 |
10,590 | arithmetic | easy | What is 19272 / 73? | 264 | Divide: 19272 ÷ 73 = 264 because 73*264=19272. | division |
10,591 | percentages | easy | What is 70% of 4? | 2.8 | Calculate 70/100 * 4 = 0.7*4 = 2.8. | percentages |
10,592 | 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 |
10,593 | roots | easy | What is the square root of 1089? | 33 | Find number that when squared gives 1089. 33*33=1089, so sqrt(1089)=33. | square_roots |
10,594 | 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 |
10,595 | arithmetic | easy | What is 86 * 9? | 774 | Multiply: 86 * 9 = 774. | basic_operations |
10,596 | arithmetic | easy | What is 40545 / 85? | 477 | Divide: 40545 ÷ 85 = 477 because 85*477=40545. | division |
10,597 | word_problems | easy | If you have 67 apples and you buy 39 more apples, how many apples do you have in total? | 106 | Add initial 67 plus bought 39: 67+39=106. | addition_word |
10,598 | fractions | medium | What is 13/15 + 13/14? Give as simplified fraction. | 377/210 | Common denominator 15*14=210. 13/15=182/210, 13/14=195/210. Sum = 377/210 = 377/210 simplified. | fraction_operations |
10,599 | calculus | medium | What is the derivative of 10x^7 with respect to x? | 70x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^7] = 10*7*x^6 = 70x^6. | derivative |
10,600 | exponents | easy | What is 9^3? | 729 | 9^3 means multiply 9 by itself 3 times: 9*9*9 = 729. | exponents |
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