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 |
|---|---|---|---|---|---|---|
12,501 | number_theory | medium | What is the LCM (least common multiple) of 40 and 16? | 80 | LCM = |40*16| / GCD(40,16). GCD=8, so LCM=640/8=80. | lcm |
12,502 | roots | easy | What is the square root of 529? | 23 | Find number that when squared gives 529. 23*23=529, so sqrt(529)=23. | square_roots |
12,503 | 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 |
12,504 | exponents | easy | What is 9^3? | 729 | 9^3 means multiply 9 by itself 3 times: 9*9*9 = 729. | exponents |
12,505 | arithmetic | easy | What is 668 - 101? | 567 | Subtract: 668 - 101 = 567. | basic_operations |
12,506 | roots | easy | What is the square root of 1444? | 38 | Find number that when squared gives 1444. 38*38=1444, so sqrt(1444)=38. | square_roots |
12,507 | 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 |
12,508 | percentages | easy | What is 61% of 653? | 398.33 | Calculate 61/100 * 653 = 0.61*653 = 398.33. | percentages |
12,509 | arithmetic | easy | What is 78 + 35 * 83? Remember order of operations. | 2983 | Order of operations (PEMDAS): first 35*83=2905, then 78+2905=2983. | basic_operations |
12,510 | fractions | medium | What is 2/5 * 10/19? Give as simplified fraction. | 4/19 | Multiply numerators: 2*10=20. Denominators: 5*19=95. Simplify by gcd 5 to get 4/19. | fraction_operations |
12,511 | number_theory | medium | What is the GCD (greatest common divisor) of 61 and 65? | 1 | Find greatest number dividing both 61 and 65. Divisors common, greatest is 1. | gcd |
12,512 | calculus | medium | What is the derivative of 7x^4 with respect to x? | 28x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^4] = 7*4*x^3 = 28x^3. | derivative |
12,513 | arithmetic | easy | What is 34 * 9? | 306 | Multiply: 34 * 9 = 306. | basic_operations |
12,514 | arithmetic | easy | What is 770 + 973 * 86? Remember order of operations. | 84448 | Order of operations (PEMDAS): first 973*86=83678, then 770+83678=84448. | basic_operations |
12,515 | calculus | medium | What is the derivative of 3x^8 with respect to x? | 24x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^8] = 3*8*x^7 = 24x^7. | derivative |
12,516 | 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 |
12,517 | word_problems | easy | If you have 31 candies and you buy 17 more candies, how many candies do you have in total? | 48 | Add initial 31 plus bought 17: 31+17=48. | addition_word |
12,518 | arithmetic | easy | What is 962 + 950 * 70? Remember order of operations. | 67462 | Order of operations (PEMDAS): first 950*70=66500, then 962+66500=67462. | basic_operations |
12,519 | 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 |
12,520 | fractions | medium | What is 3/10 * 19/8? Give as simplified fraction. | 57/80 | Multiply numerators: 3*19=57. Denominators: 10*8=80. Simplify by gcd 1 to get 57/80. | fraction_operations |
12,521 | arithmetic | easy | What is 529 - 88? | 441 | Subtract: 529 - 88 = 441. | basic_operations |
12,522 | algebra | easy | Solve for x: 19x + 44 = -108 | -8 | Subtract 44 from both sides: 19x = -108-44=-152. Then divide by 19: x = -152/19 = -8. | linear_equation |
12,523 | arithmetic | easy | What is 30 * 1? | 30 | Multiply: 30 * 1 = 30. | basic_operations |
12,524 | percentages | easy | What is 36% of 582? | 209.52 | Calculate 36/100 * 582 = 0.36*582 = 209.52. | percentages |
12,525 | arithmetic | easy | What is 3570 / 85? | 42 | Divide: 3570 ÷ 85 = 42 because 85*42=3570. | division |
12,526 | statistics | easy | What is the mean (average) of 33, 75, 24, 93? | 56.25 | Mean = sum/count. Sum = 33+75+24+93=225. Count=4. Mean=225/4=56.25. | mean |
12,527 | statistics | easy | What is the mean (average) of 72, 89, 53? | 71.33 | Mean = sum/count. Sum = 72+89+53=214. Count=3. Mean=214/3=71.33. | mean |
12,528 | arithmetic | easy | What is 12608 divided by 28? Give answer to 2 decimal places. | 450.29 | Calculate 12608/ 28 = 450.2857, rounded to 2 decimals is 450.29. | division |
12,529 | algebra | easy | Solve for x: 6x + 31 = 97 | 11 | Subtract 31 from both sides: 6x = 97-31=66. Then divide by 6: x = 66/6 = 11. | linear_equation |
12,530 | arithmetic | easy | What is 2847 / 73? | 39 | Divide: 2847 ÷ 73 = 39 because 73*39=2847. | division |
12,531 | fractions | medium | What is 19/7 * 12/18? Give as simplified fraction. | 38/21 | Multiply numerators: 19*12=228. Denominators: 7*18=126. Simplify by gcd 6 to get 38/21. | fraction_operations |
12,532 | percentages | easy | What is 5% of 955? | 47.75 | Calculate 5/100 * 955 = 0.05*955 = 47.75. | percentages |
12,533 | algebra | medium | Solve for x: x^2 + 12x + 32 = 0 | x = -8, -4 | Factor: (x - -8)(x - -4) = x^2 -(-12)x + 32 = 0. So x = -8 or -4. Check sum = -12, product = 32. | quadratic |
12,534 | 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 |
12,535 | 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 |
12,536 | percentages | easy | What is 32% of 516? | 165.12 | Calculate 32/100 * 516 = 0.32*516 = 165.12. | percentages |
12,537 | exponents | easy | What is 3^5? | 243 | 3^5 means multiply 3 by itself 5 times: 3*3*3*3*3 = 243. | exponents |
12,538 | word_problems | easy | If you have 56 books and you buy 1 more books, how many books do you have in total? | 57 | Add initial 56 plus bought 1: 56+1=57. | addition_word |
12,539 | statistics | easy | What is the mean (average) of 77, 2, 61, 21? | 40.25 | Mean = sum/count. Sum = 77+2+61+21=161. Count=4. Mean=161/4=40.25. | mean |
12,540 | 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 |
12,541 | geometry | easy | Find the area of a triangle with base 66 and height 10. | 330 | Area = 0.5*base*height = 0.5*66*10 = 330. | triangle_area |
12,542 | arithmetic | easy | What is 347 + 712? | 1059 | Add the two numbers: 347 + 712 = 1059. | basic_operations |
12,543 | 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 |
12,544 | arithmetic | easy | What is 32 * 57? | 1824 | Multiply: 32 * 57 = 1824. | basic_operations |
12,545 | percentages | easy | What is 78% of 664? | 517.92 | Calculate 78/100 * 664 = 0.78*664 = 517.92. | percentages |
12,546 | 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 |
12,547 | percentages | easy | What is 97% of 60? | 58.2 | Calculate 97/100 * 60 = 0.97*60 = 58.2. | percentages |
12,548 | algebra | easy | Solve for x: 6x + 50 = 98 | 8 | Subtract 50 from both sides: 6x = 98-50=48. Then divide by 6: x = 48/6 = 8. | linear_equation |
12,549 | arithmetic | easy | What is 8066 / 37? | 218 | Divide: 8066 ÷ 37 = 218 because 37*218=8066. | division |
12,550 | roots | easy | What is the square root of 256? | 16 | Find number that when squared gives 256. 16*16=256, so sqrt(256)=16. | square_roots |
12,551 | 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 |
12,552 | algebra | easy | Solve for x: 8x + 49 = -23 | -9 | Subtract 49 from both sides: 8x = -23-49=-72. Then divide by 8: x = -72/8 = -9. | linear_equation |
12,553 | arithmetic | easy | What is 450 - 172? | 278 | Subtract: 450 - 172 = 278. | basic_operations |
12,554 | 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 |
12,555 | arithmetic | easy | What is 349 + 443 * 87? Remember order of operations. | 38890 | Order of operations (PEMDAS): first 443*87=38541, then 349+38541=38890. | basic_operations |
12,556 | arithmetic | easy | What is 838 - 712? | 126 | Subtract: 838 - 712 = 126. | basic_operations |
12,557 | arithmetic | easy | What is 696 - 590? | 106 | Subtract: 696 - 590 = 106. | basic_operations |
12,558 | arithmetic | easy | What is 284 + 721? | 1005 | Add the two numbers: 284 + 721 = 1005. | basic_operations |
12,559 | arithmetic | easy | What is 262 + 302? | 564 | Add the two numbers: 262 + 302 = 564. | basic_operations |
12,560 | algebra | medium | Solve for x: x^2 + 2x - 63 = 0 | x = -9, 7 | Factor: (x - -9)(x - 7) = x^2 -(-2)x + -63 = 0. So x = -9 or 7. Check sum = -2, product = -63. | quadratic |
12,561 | fractions | medium | What is 14/6 - 10/19? Give as simplified fraction. | 103/57 | Common denominator 114. Numerator 266-60=206. So 206/114 simplifies to 103/57. | fraction_operations |
12,562 | exponents | easy | What is 10^4? | 10000 | 10^4 means multiply 10 by itself 4 times: 10*10*10*10 = 10000. | exponents |
12,563 | 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 |
12,564 | word_problems | easy | If you have 74 pencils and you buy 42 more pencils, how many pencils do you have in total? | 116 | Add initial 74 plus bought 42: 74+42=116. | addition_word |
12,565 | 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 |
12,566 | arithmetic | easy | What is 492 + 949? | 1441 | Add the two numbers: 492 + 949 = 1441. | basic_operations |
12,567 | word_problems | easy | If you have 57 candies and you buy 2 more candies, how many candies do you have in total? | 59 | Add initial 57 plus bought 2: 57+2=59. | addition_word |
12,568 | fractions | medium | What is 20/12 - 3/9? Give as simplified fraction. | 4/3 | Common denominator 108. Numerator 180-36=144. So 144/108 simplifies to 4/3. | fraction_operations |
12,569 | arithmetic | easy | What is 437 + 369 * 99? Remember order of operations. | 36968 | Order of operations (PEMDAS): first 369*99=36531, then 437+36531=36968. | basic_operations |
12,570 | 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 |
12,571 | geometry | easy | Find the perimeter of a rectangle with length 54 and width 52. | 212 | Perimeter = 2*(length+width) = 2*(54+52) = 2*106 = 212. | rectangle_perim |
12,572 | percentages | easy | What is 87% of 253? | 220.11 | Calculate 87/100 * 253 = 0.87*253 = 220.11. | percentages |
12,573 | statistics | easy | What is the mean (average) of 48, 54, 100, 11, 65? | 55.6 | Mean = sum/count. Sum = 48+54+100+11+65=278. Count=5. Mean=278/5=55.6. | mean |
12,574 | geometry | easy | Find the area of a circle with radius 15. Use pi=3.14159, round to 2 decimals. | 706.86 | Area = pi*r^2 = 3.14159*15^2 = 3.14159*225 = 706.86. | circle_area |
12,575 | 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 |
12,576 | word_problems | easy | If you have 66 candies and you buy 46 more candies, how many candies do you have in total? | 112 | Add initial 66 plus bought 46: 66+46=112. | addition_word |
12,577 | number_theory | medium | What is the LCM (least common multiple) of 73 and 18? | 1314 | LCM = |73*18| / GCD(73,18). GCD=1, so LCM=1314/1=1314. | lcm |
12,578 | 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 |
12,579 | percentages | easy | What is 53% of 76? | 40.28 | Calculate 53/100 * 76 = 0.53*76 = 40.28. | percentages |
12,580 | fractions | medium | What is 15/11 * 10/19? Give as simplified fraction. | 150/209 | Multiply numerators: 15*10=150. Denominators: 11*19=209. Simplify by gcd 1 to get 150/209. | fraction_operations |
12,581 | 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 |
12,582 | 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 |
12,583 | algebra | easy | Solve for x: 9x - 16 = -16 | 0 | Add 16 to both sides: 9x = -16+16=0. Then x = 0/9 = 0. | linear_equation |
12,584 | arithmetic | easy | What is 360 - 187? | 173 | Subtract: 360 - 187 = 173. | basic_operations |
12,585 | algebra | easy | Solve for x: 4x + 11 = 63 | 13 | Subtract 11 from both sides: 4x = 63-11=52. Then divide by 4: x = 52/4 = 13. | linear_equation |
12,586 | algebra | medium | Solve for x: x^2 - 9x = 0 | x = 9, 0 | Factor: (x - 9)(x - 0) = x^2 -(9)x + 0 = 0. So x = 9 or 0. Check sum = 9, product = 0. | quadratic |
12,587 | arithmetic | easy | What is 936 + 408? | 1344 | Add the two numbers: 936 + 408 = 1344. | basic_operations |
12,588 | percentages | easy | What is 57% of 739? | 421.23 | Calculate 57/100 * 739 = 0.57*739 = 421.23. | percentages |
12,589 | 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 |
12,590 | algebra | medium | Solve for x: x^2 - 7x - 8 = 0 | x = 8, -1 | Factor: (x - 8)(x - -1) = x^2 -(7)x + -8 = 0. So x = 8 or -1. Check sum = 7, product = -8. | quadratic |
12,591 | arithmetic | easy | What is 4 + 39 * 66? Remember order of operations. | 2578 | Order of operations (PEMDAS): first 39*66=2574, then 4+2574=2578. | basic_operations |
12,592 | geometry | easy | Find the area of a rectangle with length 81 and width 21. | 1701 | Area = length * width = 81*21 = 1701. | rectangle_area |
12,593 | 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 |
12,594 | arithmetic | easy | What is 749 - 525? | 224 | Subtract: 749 - 525 = 224. | basic_operations |
12,595 | arithmetic | easy | What is 807 / 3? | 269 | Divide: 807 ÷ 3 = 269 because 3*269=807. | division |
12,596 | word_problems | easy | If you have 5 pencils and you buy 32 more pencils, how many pencils do you have in total? | 37 | Add initial 5 plus bought 32: 5+32=37. | addition_word |
12,597 | fractions | medium | What is 20/8 + 3/9? Give as simplified fraction. | 17/6 | Common denominator 8*9=72. 20/8=180/72, 3/9=24/72. Sum = 204/72 = 17/6 simplified. | fraction_operations |
12,598 | exponents | easy | What is 2^3? | 8 | 2^3 means multiply 2 by itself 3 times: 2*2*2 = 8. | exponents |
12,599 | statistics | easy | What is the mean (average) of 76, 38, 24, 46? | 46 | Mean = sum/count. Sum = 76+38+24+46=184. Count=4. Mean=184/4=46.0. | mean |
12,600 | arithmetic | easy | What is 909 - 68? | 841 | Subtract: 909 - 68 = 841. | basic_operations |
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