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 |
|---|---|---|---|---|---|---|
13,501 | arithmetic | easy | What is 90 * 35? | 3150 | Multiply: 90 * 35 = 3150. | basic_operations |
13,502 | arithmetic | easy | What is 82 + 824 * 90? Remember order of operations. | 74242 | Order of operations (PEMDAS): first 824*90=74160, then 82+74160=74242. | basic_operations |
13,503 | geometry | easy | Find the perimeter of a rectangle with length 31 and width 54. | 170 | Perimeter = 2*(length+width) = 2*(31+54) = 2*85 = 170. | rectangle_perim |
13,504 | arithmetic | easy | What is 938 + 367 * 64? Remember order of operations. | 24426 | Order of operations (PEMDAS): first 367*64=23488, then 938+23488=24426. | basic_operations |
13,505 | arithmetic | easy | What is 43392 / 96? | 452 | Divide: 43392 ÷ 96 = 452 because 96*452=43392. | division |
13,506 | number_theory | medium | What is the LCM (least common multiple) of 35 and 74? | 2590 | LCM = |35*74| / GCD(35,74). GCD=1, so LCM=2590/1=2590. | lcm |
13,507 | algebra | easy | Solve for x: 19x - 40 = 150 | 10 | Add 40 to both sides: 19x = 150+40=190. Then x = 190/19 = 10. | linear_equation |
13,508 | arithmetic | easy | What is 15210 / 78? | 195 | Divide: 15210 ÷ 78 = 195 because 78*195=15210. | division |
13,509 | percentages | easy | What is 49% of 300? | 147 | Calculate 49/100 * 300 = 0.49*300 = 147. | percentages |
13,510 | arithmetic | easy | What is 659 - 502? | 157 | Subtract: 659 - 502 = 157. | basic_operations |
13,511 | algebra | easy | Solve for x: 1x - 3 = 13 | 16 | Add 3 to both sides: 1x = 13+3=16. Then x = 16/1 = 16. | linear_equation |
13,512 | exponents | easy | What is 10^3? | 1000 | 10^3 means multiply 10 by itself 3 times: 10*10*10 = 1000. | exponents |
13,513 | 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 |
13,514 | arithmetic | easy | What is 912 - 900? | 12 | Subtract: 912 - 900 = 12. | basic_operations |
13,515 | arithmetic | easy | What is 775 - 110? | 665 | Subtract: 775 - 110 = 665. | basic_operations |
13,516 | fractions | medium | What is 14/2 - 20/14? Give as simplified fraction. | 39/7 | Common denominator 28. Numerator 196-40=156. So 156/28 simplifies to 39/7. | fraction_operations |
13,517 | fractions | medium | What is 20/11 * 12/8? Give as simplified fraction. | 30/11 | Multiply numerators: 20*12=240. Denominators: 11*8=88. Simplify by gcd 8 to get 30/11. | fraction_operations |
13,518 | geometry | easy | Find the area of a triangle with base 64 and height 27. | 864 | Area = 0.5*base*height = 0.5*64*27 = 864. | triangle_area |
13,519 | algebra | easy | Solve for x: 2x - 50 = -16 | 17 | Add 50 to both sides: 2x = -16+50=34. Then x = 34/2 = 17. | linear_equation |
13,520 | 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 |
13,521 | arithmetic | easy | What is 4949 / 49? | 101 | Divide: 4949 ÷ 49 = 101 because 49*101=4949. | division |
13,522 | arithmetic | easy | What is 368 - 226? | 142 | Subtract: 368 - 226 = 142. | basic_operations |
13,523 | algebra | medium | Solve for x: x^2 - 6x - 7 = 0 | x = -1, 7 | Factor: (x - -1)(x - 7) = x^2 -(6)x + -7 = 0. So x = -1 or 7. Check sum = 6, product = -7. | quadratic |
13,524 | arithmetic | easy | What is 64 + 6 * 39? Remember order of operations. | 298 | Order of operations (PEMDAS): first 6*39=234, then 64+234=298. | basic_operations |
13,525 | geometry | easy | Find the area of a triangle with base 90 and height 43. | 1935 | Area = 0.5*base*height = 0.5*90*43 = 1935. | triangle_area |
13,526 | 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 |
13,527 | arithmetic | easy | What is 18512 / 89? | 208 | Divide: 18512 ÷ 89 = 208 because 89*208=18512. | division |
13,528 | algebra | medium | Solve for x: x^2 + 10x + 9 = 0 | x = -1, -9 | Factor: (x - -1)(x - -9) = x^2 -(-10)x + 9 = 0. So x = -1 or -9. Check sum = -10, product = 9. | quadratic |
13,529 | roots | easy | What is the square root of 2401? | 49 | Find number that when squared gives 2401. 49*49=2401, so sqrt(2401)=49. | square_roots |
13,530 | word_problems | easy | If you have 91 apples and you buy 19 more apples, how many apples do you have in total? | 110 | Add initial 91 plus bought 19: 91+19=110. | addition_word |
13,531 | arithmetic | easy | What is 934 + 656? | 1590 | Add the two numbers: 934 + 656 = 1590. | basic_operations |
13,532 | arithmetic | easy | What is 82 / 82? | 1 | Divide: 82 ÷ 82 = 1 because 82*1=82. | division |
13,533 | calculus | medium | What is the derivative of 7x^8 with respect to x? | 56x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^8] = 7*8*x^7 = 56x^7. | derivative |
13,534 | statistics | easy | What is the mean (average) of 88, 4, 80, 87? | 64.75 | Mean = sum/count. Sum = 88+4+80+87=259. Count=4. Mean=259/4=64.75. | mean |
13,535 | number_theory | medium | What is the LCM (least common multiple) of 20 and 10? | 20 | LCM = |20*10| / GCD(20,10). GCD=10, so LCM=200/10=20. | lcm |
13,536 | 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 |
13,537 | geometry | easy | Find the perimeter of a rectangle with length 78 and width 34. | 224 | Perimeter = 2*(length+width) = 2*(78+34) = 2*112 = 224. | rectangle_perim |
13,538 | algebra | easy | Solve for x: 19x - 49 = -391 | -18 | Add 49 to both sides: 19x = -391+49=-342. Then x = -342/19 = -18. | linear_equation |
13,539 | algebra | easy | Solve for x: 11x + 49 = 203 | 14 | Subtract 49 from both sides: 11x = 203-49=154. Then divide by 11: x = 154/11 = 14. | linear_equation |
13,540 | 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 |
13,541 | fractions | medium | What is 20/19 - 2/8? Give as simplified fraction. | 61/76 | Common denominator 152. Numerator 160-38=122. So 122/152 simplifies to 61/76. | fraction_operations |
13,542 | arithmetic | easy | What is 220 + 464? | 684 | Add the two numbers: 220 + 464 = 684. | basic_operations |
13,543 | algebra | easy | Solve for x: 2x - 3 = 27 | 15 | Add 3 to both sides: 2x = 27+3=30. Then x = 30/2 = 15. | linear_equation |
13,544 | 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 |
13,545 | exponents | easy | What is 10^4? | 10000 | 10^4 means multiply 10 by itself 4 times: 10*10*10*10 = 10000. | exponents |
13,546 | fractions | medium | What is 2/16 - 9/18? Give as simplified fraction. | -3/8 | Common denominator 288. Numerator 36-144=-108. So -108/288 simplifies to -3/8. | fraction_operations |
13,547 | arithmetic | easy | What is 824 + 194? | 1018 | Add the two numbers: 824 + 194 = 1018. | basic_operations |
13,548 | number_theory | medium | What is the GCD (greatest common divisor) of 89 and 84? | 1 | Find greatest number dividing both 89 and 84. Divisors common, greatest is 1. | gcd |
13,549 | geometry | easy | Find the area of a rectangle with length 41 and width 8. | 328 | Area = length * width = 41*8 = 328. | rectangle_area |
13,550 | arithmetic | easy | What is 91 + 50 * 32? Remember order of operations. | 1691 | Order of operations (PEMDAS): first 50*32=1600, then 91+1600=1691. | basic_operations |
13,551 | arithmetic | easy | What is 46 * 39? | 1794 | Multiply: 46 * 39 = 1794. | basic_operations |
13,552 | arithmetic | easy | What is 40984 / 94? | 436 | Divide: 40984 ÷ 94 = 436 because 94*436=40984. | division |
13,553 | geometry | easy | Find the area of a triangle with base 14 and height 2. | 14 | Area = 0.5*base*height = 0.5*14*2 = 14. | triangle_area |
13,554 | exponents | easy | What is 12^4? | 20736 | 12^4 means multiply 12 by itself 4 times: 12*12*12*12 = 20736. | exponents |
13,555 | algebra | medium | Solve for x: x^2 = 0 | x = 0 | Factor as (x - 0)^2 = 0, so root is 0 (double root). Sum of roots = 0, product = 0. | quadratic |
13,556 | percentages | easy | What is 90% of 586? | 527.4 | Calculate 90/100 * 586 = 0.9*586 = 527.4. | percentages |
13,557 | 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 |
13,558 | number_theory | medium | What is the LCM (least common multiple) of 56 and 11? | 616 | LCM = |56*11| / GCD(56,11). GCD=1, so LCM=616/1=616. | lcm |
13,559 | geometry | easy | Find the area of a rectangle with length 20 and width 85. | 1700 | Area = length * width = 20*85 = 1700. | rectangle_area |
13,560 | word_problems | easy | If you have 12 apples and you buy 5 more apples, how many apples do you have in total? | 17 | Add initial 12 plus bought 5: 12+5=17. | addition_word |
13,561 | fractions | medium | What is 5/5 * 11/6? Give as simplified fraction. | 11/6 | Multiply numerators: 5*11=55. Denominators: 5*6=30. Simplify by gcd 5 to get 11/6. | fraction_operations |
13,562 | geometry | easy | Find the area of a rectangle with length 64 and width 56. | 3584 | Area = length * width = 64*56 = 3584. | rectangle_area |
13,563 | arithmetic | easy | What is 800 / 16? | 50 | Divide: 800 ÷ 16 = 50 because 16*50=800. | division |
13,564 | percentages | easy | What is 21% of 257? | 53.97 | Calculate 21/100 * 257 = 0.21*257 = 53.97. | percentages |
13,565 | arithmetic | easy | What is 614 - 416? | 198 | Subtract: 614 - 416 = 198. | basic_operations |
13,566 | algebra | easy | Solve for x: 14x - 41 = -209 | -12 | Add 41 to both sides: 14x = -209+41=-168. Then x = -168/14 = -12. | linear_equation |
13,567 | arithmetic | easy | What is 21369 / 51? | 419 | Divide: 21369 ÷ 51 = 419 because 51*419=21369. | division |
13,568 | arithmetic | easy | What is 939 + 720 * 82? Remember order of operations. | 59979 | Order of operations (PEMDAS): first 720*82=59040, then 939+59040=59979. | basic_operations |
13,569 | arithmetic | easy | What is 169 + 727? | 896 | Add the two numbers: 169 + 727 = 896. | basic_operations |
13,570 | arithmetic | easy | What is 49 * 44? | 2156 | Multiply: 49 * 44 = 2156. | basic_operations |
13,571 | 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 |
13,572 | percentages | easy | What is 24% of 227? | 54.48 | Calculate 24/100 * 227 = 0.24*227 = 54.48. | percentages |
13,573 | fractions | medium | What is 13/18 - 10/5? Give as simplified fraction. | -23/18 | Common denominator 90. Numerator 65-180=-115. So -115/90 simplifies to -23/18. | fraction_operations |
13,574 | percentages | easy | What is 40% of 289? | 115.6 | Calculate 40/100 * 289 = 0.4*289 = 115.6. | percentages |
13,575 | calculus | medium | What is the derivative of 3x^3 with respect to x? | 9x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^3] = 3*3*x^2 = 9x^2. | derivative |
13,576 | arithmetic | easy | What is 78 + 83 * 34? Remember order of operations. | 2900 | Order of operations (PEMDAS): first 83*34=2822, then 78+2822=2900. | basic_operations |
13,577 | fractions | medium | What is 17/20 * 1/12? Give as simplified fraction. | 17/240 | Multiply numerators: 17*1=17. Denominators: 20*12=240. Simplify by gcd 1 to get 17/240. | fraction_operations |
13,578 | number_theory | medium | What is the LCM (least common multiple) of 1 and 79? | 79 | LCM = |1*79| / GCD(1,79). GCD=1, so LCM=79/1=79. | lcm |
13,579 | algebra | medium | Solve for x: x^2 - 16x + 60 = 0 | x = 6, 10 | Factor: (x - 6)(x - 10) = x^2 -(16)x + 60 = 0. So x = 6 or 10. Check sum = 16, product = 60. | quadratic |
13,580 | arithmetic | easy | What is 557 + 447 * 30? Remember order of operations. | 13967 | Order of operations (PEMDAS): first 447*30=13410, then 557+13410=13967. | basic_operations |
13,581 | word_problems | easy | If you have 67 apples and you buy 12 more apples, how many apples do you have in total? | 79 | Add initial 67 plus bought 12: 67+12=79. | addition_word |
13,582 | arithmetic | easy | What is 717 + 514? | 1231 | Add the two numbers: 717 + 514 = 1231. | basic_operations |
13,583 | arithmetic | easy | What is 3416 / 8? | 427 | Divide: 3416 ÷ 8 = 427 because 8*427=3416. | division |
13,584 | number_theory | medium | What is the GCD (greatest common divisor) of 95 and 59? | 1 | Find greatest number dividing both 95 and 59. Divisors common, greatest is 1. | gcd |
13,585 | number_theory | medium | What is the GCD (greatest common divisor) of 44 and 44? | 44 | Find greatest number dividing both 44 and 44. Divisors common, greatest is 44. | gcd |
13,586 | exponents | easy | What is 11^4? | 14641 | 11^4 means multiply 11 by itself 4 times: 11*11*11*11 = 14641. | exponents |
13,587 | number_theory | medium | What is the LCM (least common multiple) of 22 and 80? | 880 | LCM = |22*80| / GCD(22,80). GCD=2, so LCM=1760/2=880. | lcm |
13,588 | geometry | easy | Find the perimeter of a rectangle with length 81 and width 41. | 244 | Perimeter = 2*(length+width) = 2*(81+41) = 2*122 = 244. | rectangle_perim |
13,589 | algebra | easy | Solve for x: 5x - 38 = 12 | 10 | Add 38 to both sides: 5x = 12+38=50. Then x = 50/5 = 10. | linear_equation |
13,590 | fractions | medium | What is 5/19 - 10/6? Give as simplified fraction. | -80/57 | Common denominator 114. Numerator 30-190=-160. So -160/114 simplifies to -80/57. | fraction_operations |
13,591 | statistics | easy | What is the mean (average) of 86, 22, 73, 69, 8? | 51.6 | Mean = sum/count. Sum = 86+22+73+69+8=258. Count=5. Mean=258/5=51.6. | mean |
13,592 | algebra | medium | Solve for x: x^2 + 16x + 60 = 0 | x = -10, -6 | Factor: (x - -10)(x - -6) = x^2 -(-16)x + 60 = 0. So x = -10 or -6. Check sum = -16, product = 60. | quadratic |
13,593 | arithmetic | easy | What is 659 + 952? | 1611 | Add the two numbers: 659 + 952 = 1611. | basic_operations |
13,594 | arithmetic | easy | What is 28220 / 85? | 332 | Divide: 28220 ÷ 85 = 332 because 85*332=28220. | division |
13,595 | algebra | easy | Solve for x: 2x - 11 = 29 | 20 | Add 11 to both sides: 2x = 29+11=40. Then x = 40/2 = 20. | linear_equation |
13,596 | 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 |
13,597 | arithmetic | easy | What is 1815 / 33? | 55 | Divide: 1815 ÷ 33 = 55 because 33*55=1815. | division |
13,598 | 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 |
13,599 | percentages | easy | What is 8% of 224? | 17.92 | Calculate 8/100 * 224 = 0.08*224 = 17.92. | percentages |
13,600 | arithmetic | easy | What is 905 + 142 * 36? Remember order of operations. | 6017 | Order of operations (PEMDAS): first 142*36=5112, then 905+5112=6017. | basic_operations |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.