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 |
|---|---|---|---|---|---|---|
733,601 | exponents | easy | What is 2^5? | 32 | 2^5 means multiply 2 by itself 5 times: 2*2*2*2*2 = 32. | exponents |
733,602 | exponents | easy | What is 10^4? | 10000 | 10^4 means multiply 10 by itself 4 times: 10*10*10*10 = 10000. | exponents |
733,603 | fractions | medium | What is 1/16 * 5/12? Give as simplified fraction. | 5/192 | Multiply numerators: 1*5=5. Denominators: 16*12=192. Simplify by gcd 1 to get 5/192. | fraction_operations |
733,604 | geometry | easy | Find the area of a triangle with base 78 and height 18. | 702 | Area = 0.5*base*height = 0.5*78*18 = 702. | triangle_area |
733,605 | number_theory | medium | What is the GCD (greatest common divisor) of 62 and 26? | 2 | Find greatest number dividing both 62 and 26. Divisors common, greatest is 2. | gcd |
733,606 | arithmetic | easy | What is 61 * 53? | 3233 | Multiply: 61 * 53 = 3233. | basic_operations |
733,607 | arithmetic | easy | What is 29700 / 66? | 450 | Divide: 29700 ÷ 66 = 450 because 66*450=29700. | division |
733,608 | arithmetic | easy | What is 6344 / 52? | 122 | Divide: 6344 ÷ 52 = 122 because 52*122=6344. | division |
733,609 | word_problems | easy | If you have 48 dollars and you buy 46 more dollars, how many dollars do you have in total? | 94 | Add initial 48 plus bought 46: 48+46=94. | addition_word |
733,610 | arithmetic | easy | What is 58 * 78? | 4524 | Multiply: 58 * 78 = 4524. | basic_operations |
733,611 | statistics | easy | What is the mean (average) of 51, 27, 53? | 43.67 | Mean = sum/count. Sum = 51+27+53=131. Count=3. Mean=131/3=43.67. | mean |
733,612 | percentages | easy | What is 5% of 643? | 32.15 | Calculate 5/100 * 643 = 0.05*643 = 32.15. | percentages |
733,613 | exponents | easy | What is 10^4? | 10000 | 10^4 means multiply 10 by itself 4 times: 10*10*10*10 = 10000. | exponents |
733,614 | arithmetic | easy | What is 709 + 374 * 80? Remember order of operations. | 30629 | Order of operations (PEMDAS): first 374*80=29920, then 709+29920=30629. | basic_operations |
733,615 | arithmetic | easy | What is 25172 / 62? | 406 | Divide: 25172 ÷ 62 = 406 because 62*406=25172. | division |
733,616 | 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 |
733,617 | arithmetic | easy | What is 11050 / 85? | 130 | Divide: 11050 ÷ 85 = 130 because 85*130=11050. | division |
733,618 | 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 |
733,619 | arithmetic | easy | What is 751 - 27? | 724 | Subtract: 751 - 27 = 724. | basic_operations |
733,620 | exponents | easy | What is 8^4? | 4096 | 8^4 means multiply 8 by itself 4 times: 8*8*8*8 = 4096. | exponents |
733,621 | arithmetic | easy | What is 722 + 166? | 888 | Add the two numbers: 722 + 166 = 888. | basic_operations |
733,622 | arithmetic | easy | What is 263 + 756? | 1019 | Add the two numbers: 263 + 756 = 1019. | basic_operations |
733,623 | exponents | easy | What is 2^4? | 16 | 2^4 means multiply 2 by itself 4 times: 2*2*2*2 = 16. | exponents |
733,624 | word_problems | easy | If you have 94 candies and you buy 47 more candies, how many candies do you have in total? | 141 | Add initial 94 plus bought 47: 94+47=141. | addition_word |
733,625 | number_theory | medium | What is the GCD (greatest common divisor) of 65 and 40? | 5 | Find greatest number dividing both 65 and 40. Divisors common, greatest is 5. | gcd |
733,626 | algebra | easy | Solve for x: 8x + 22 = 110 | 11 | Subtract 22 from both sides: 8x = 110-22=88. Then divide by 8: x = 88/8 = 11. | linear_equation |
733,627 | arithmetic | easy | What is 15 * 43? | 645 | Multiply: 15 * 43 = 645. | basic_operations |
733,628 | percentages | easy | What is 66% of 761? | 502.26 | Calculate 66/100 * 761 = 0.66*761 = 502.26. | percentages |
733,629 | exponents | easy | What is 12^4? | 20736 | 12^4 means multiply 12 by itself 4 times: 12*12*12*12 = 20736. | exponents |
733,630 | arithmetic | easy | What is 76 + 83 * 77? Remember order of operations. | 6467 | Order of operations (PEMDAS): first 83*77=6391, then 76+6391=6467. | basic_operations |
733,631 | number_theory | medium | What is the GCD (greatest common divisor) of 5 and 73? | 1 | Find greatest number dividing both 5 and 73. Divisors common, greatest is 1. | gcd |
733,632 | geometry | easy | Find the area of a rectangle with length 98 and width 69. | 6762 | Area = length * width = 98*69 = 6762. | rectangle_area |
733,633 | geometry | easy | Find the perimeter of a rectangle with length 44 and width 54. | 196 | Perimeter = 2*(length+width) = 2*(44+54) = 2*98 = 196. | rectangle_perim |
733,634 | geometry | easy | Find the circumference of a circle with radius 43. Use pi=3.14159, round to 2 decimals. | 270.18 | Circumference = 2*pi*r = 2*3.14159*43 = 270.18. | circle_circum |
733,635 | 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 |
733,636 | geometry | easy | Find the perimeter of a rectangle with length 11 and width 63. | 148 | Perimeter = 2*(length+width) = 2*(11+63) = 2*74 = 148. | rectangle_perim |
733,637 | algebra | easy | Solve for x: 18x - 2 = -272 | -15 | Add 2 to both sides: 18x = -272+2=-270. Then x = -270/18 = -15. | linear_equation |
733,638 | arithmetic | easy | What is 4 * 29? | 116 | Multiply: 4 * 29 = 116. | basic_operations |
733,639 | 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 |
733,640 | arithmetic | easy | What is 1120 / 14? | 80 | Divide: 1120 ÷ 14 = 80 because 14*80=1120. | division |
733,641 | algebra | easy | Solve for x: 3x + 25 = 31 | 2 | Subtract 25 from both sides: 3x = 31-25=6. Then divide by 3: x = 6/3 = 2. | linear_equation |
733,642 | word_problems | easy | If you have 7 apples and you buy 27 more apples, how many apples do you have in total? | 34 | Add initial 7 plus bought 27: 7+27=34. | addition_word |
733,643 | arithmetic | easy | What is 116 + 832? | 948 | Add the two numbers: 116 + 832 = 948. | basic_operations |
733,644 | 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 |
733,645 | arithmetic | easy | What is 98 + 70 * 89? Remember order of operations. | 6328 | Order of operations (PEMDAS): first 70*89=6230, then 98+6230=6328. | basic_operations |
733,646 | exponents | easy | What is 9^3? | 729 | 9^3 means multiply 9 by itself 3 times: 9*9*9 = 729. | exponents |
733,647 | word_problems | easy | If you have 48 books and you buy 24 more books, how many books do you have in total? | 72 | Add initial 48 plus bought 24: 48+24=72. | addition_word |
733,648 | percentages | easy | What is 38% of 902? | 342.76 | Calculate 38/100 * 902 = 0.38*902 = 342.76. | percentages |
733,649 | algebra | easy | Solve for x: 16x - 13 = -77 | -4 | Add 13 to both sides: 16x = -77+13=-64. Then x = -64/16 = -4. | linear_equation |
733,650 | arithmetic | easy | What is 485 + 201? | 686 | Add the two numbers: 485 + 201 = 686. | basic_operations |
733,651 | geometry | easy | Find the area of a circle with radius 46. Use pi=3.14159, round to 2 decimals. | 6647.61 | Area = pi*r^2 = 3.14159*46^2 = 3.14159*2116 = 6647.61. | circle_area |
733,652 | 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 |
733,653 | calculus | medium | What is the derivative of 2x^4 with respect to x? | 8x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^4] = 2*4*x^3 = 8x^3. | derivative |
733,654 | arithmetic | easy | What is 12276 / 44? | 279 | Divide: 12276 ÷ 44 = 279 because 44*279=12276. | division |
733,655 | geometry | easy | Find the perimeter of a rectangle with length 6 and width 5. | 22 | Perimeter = 2*(length+width) = 2*(6+5) = 2*11 = 22. | rectangle_perim |
733,656 | algebra | easy | Solve for x: 1x + 31 = 28 | -3 | Subtract 31 from both sides: 1x = 28-31=-3. Then divide by 1: x = -3/1 = -3. | linear_equation |
733,657 | arithmetic | easy | What is 573 - 535? | 38 | Subtract: 573 - 535 = 38. | basic_operations |
733,658 | algebra | easy | Solve for x: 16x + 17 = -111 | -8 | Subtract 17 from both sides: 16x = -111-17=-128. Then divide by 16: x = -128/16 = -8. | linear_equation |
733,659 | word_problems | easy | If you have 56 dollars and you buy 35 more dollars, how many dollars do you have in total? | 91 | Add initial 56 plus bought 35: 56+35=91. | addition_word |
733,660 | geometry | easy | Find the area of a circle with radius 10. Use pi=3.14159, round to 2 decimals. | 314.16 | Area = pi*r^2 = 3.14159*10^2 = 3.14159*100 = 314.16. | circle_area |
733,661 | roots | easy | What is the square root of 441? | 21 | Find number that when squared gives 441. 21*21=441, so sqrt(441)=21. | square_roots |
733,662 | statistics | easy | What is the mean (average) of 19, 7, 93, 3? | 30.5 | Mean = sum/count. Sum = 19+7+93+3=122. Count=4. Mean=122/4=30.5. | mean |
733,663 | 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 |
733,664 | arithmetic | easy | What is 16 * 67? | 1072 | Multiply: 16 * 67 = 1072. | basic_operations |
733,665 | algebra | easy | Solve for x: 10x + 11 = 21 | 1 | Subtract 11 from both sides: 10x = 21-11=10. Then divide by 10: x = 10/10 = 1. | linear_equation |
733,666 | percentages | easy | What is 9% of 574? | 51.66 | Calculate 9/100 * 574 = 0.09*574 = 51.66. | percentages |
733,667 | statistics | easy | What is the mean (average) of 26, 30, 40, 83, 41? | 44 | Mean = sum/count. Sum = 26+30+40+83+41=220. Count=5. Mean=220/5=44.0. | mean |
733,668 | word_problems | easy | If you have 29 books and you buy 4 more books, how many books do you have in total? | 33 | Add initial 29 plus bought 4: 29+4=33. | addition_word |
733,669 | arithmetic | easy | What is 20 * 66? | 1320 | Multiply: 20 * 66 = 1320. | basic_operations |
733,670 | algebra | easy | Solve for x: 11x + 8 = -190 | -18 | Subtract 8 from both sides: 11x = -190-8=-198. Then divide by 11: x = -198/11 = -18. | linear_equation |
733,671 | calculus | medium | What is the derivative of 8x^4 with respect to x? | 32x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^4] = 8*4*x^3 = 32x^3. | derivative |
733,672 | percentages | easy | What is 25% of 869? | 217.25 | Calculate 25/100 * 869 = 0.25*869 = 217.25. | percentages |
733,673 | fractions | medium | What is 18/5 + 5/20? Give as simplified fraction. | 77/20 | Common denominator 5*20=100. 18/5=360/100, 5/20=25/100. Sum = 385/100 = 77/20 simplified. | fraction_operations |
733,674 | 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 |
733,675 | algebra | medium | Solve for x: x^2 - 4x + 3 = 0 | x = 1, 3 | Factor: (x - 1)(x - 3) = x^2 -(4)x + 3 = 0. So x = 1 or 3. Check sum = 4, product = 3. | quadratic |
733,676 | arithmetic | easy | What is 81 * 33? | 2673 | Multiply: 81 * 33 = 2673. | basic_operations |
733,677 | 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 |
733,678 | arithmetic | easy | What is 5725 divided by 61? Give answer to 2 decimal places. | 93.85 | Calculate 5725/ 61 = 93.8525, rounded to 2 decimals is 93.85. | division |
733,679 | number_theory | medium | What is the LCM (least common multiple) of 22 and 27? | 594 | LCM = |22*27| / GCD(22,27). GCD=1, so LCM=594/1=594. | lcm |
733,680 | fractions | medium | What is 11/19 + 16/8? Give as simplified fraction. | 49/19 | Common denominator 19*8=152. 11/19=88/152, 16/8=304/152. Sum = 392/152 = 49/19 simplified. | fraction_operations |
733,681 | number_theory | medium | What is the LCM (least common multiple) of 100 and 50? | 100 | LCM = |100*50| / GCD(100,50). GCD=50, so LCM=5000/50=100. | lcm |
733,682 | word_problems | easy | If you have 77 candies and you buy 47 more candies, how many candies do you have in total? | 124 | Add initial 77 plus bought 47: 77+47=124. | addition_word |
733,683 | arithmetic | easy | What is 403 + 978? | 1381 | Add the two numbers: 403 + 978 = 1381. | basic_operations |
733,684 | roots | easy | What is the square root of 441? | 21 | Find number that when squared gives 441. 21*21=441, so sqrt(441)=21. | square_roots |
733,685 | exponents | easy | What is 6^4? | 1296 | 6^4 means multiply 6 by itself 4 times: 6*6*6*6 = 1296. | exponents |
733,686 | arithmetic | easy | What is 386 - 310? | 76 | Subtract: 386 - 310 = 76. | basic_operations |
733,687 | statistics | easy | What is the mean (average) of 12, 10, 11, 64? | 24.25 | Mean = sum/count. Sum = 12+10+11+64=97. Count=4. Mean=97/4=24.25. | mean |
733,688 | exponents | easy | What is 6^3? | 216 | 6^3 means multiply 6 by itself 3 times: 6*6*6 = 216. | exponents |
733,689 | fractions | medium | What is 9/3 + 6/18? Give as simplified fraction. | 10/3 | Common denominator 3*18=54. 9/3=162/54, 6/18=18/54. Sum = 180/54 = 10/3 simplified. | fraction_operations |
733,690 | calculus | medium | What is the derivative of 4x^8 with respect to x? | 32x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^8] = 4*8*x^7 = 32x^7. | derivative |
733,691 | roots | easy | What is the square root of 1296? | 36 | Find number that when squared gives 1296. 36*36=1296, so sqrt(1296)=36. | square_roots |
733,692 | fractions | medium | What is 4/20 + 10/7? Give as simplified fraction. | 57/35 | Common denominator 20*7=140. 4/20=28/140, 10/7=200/140. Sum = 228/140 = 57/35 simplified. | fraction_operations |
733,693 | arithmetic | easy | What is 6 * 63? | 378 | Multiply: 6 * 63 = 378. | basic_operations |
733,694 | arithmetic | easy | What is 89 + 943? | 1032 | Add the two numbers: 89 + 943 = 1032. | basic_operations |
733,695 | arithmetic | easy | What is 560 + 536 * 75? Remember order of operations. | 40760 | Order of operations (PEMDAS): first 536*75=40200, then 560+40200=40760. | basic_operations |
733,696 | exponents | easy | What is 5^3? | 125 | 5^3 means multiply 5 by itself 3 times: 5*5*5 = 125. | exponents |
733,697 | arithmetic | easy | What is 38700 / 86? | 450 | Divide: 38700 ÷ 86 = 450 because 86*450=38700. | division |
733,698 | calculus | medium | What is the derivative of 4x^6 with respect to x? | 24x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^6] = 4*6*x^5 = 24x^5. | derivative |
733,699 | algebra | medium | Solve for x: x^2 + 16x + 63 = 0 | x = -9, -7 | Factor: (x - -9)(x - -7) = x^2 -(-16)x + 63 = 0. So x = -9 or -7. Check sum = -16, product = 63. | quadratic |
733,700 | arithmetic | easy | What is 27959 / 73? | 383 | Divide: 27959 ÷ 73 = 383 because 73*383=27959. | division |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.