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 |
|---|---|---|---|---|---|---|
731,501 | fractions | medium | What is 4/4 * 9/16? Give as simplified fraction. | 9/16 | Multiply numerators: 4*9=36. Denominators: 4*16=64. Simplify by gcd 4 to get 9/16. | fraction_operations |
731,502 | statistics | easy | What is the mean (average) of 64, 12, 15? | 30.33 | Mean = sum/count. Sum = 64+12+15=91. Count=3. Mean=91/3=30.33. | mean |
731,503 | arithmetic | easy | What is 952 - 773? | 179 | Subtract: 952 - 773 = 179. | basic_operations |
731,504 | number_theory | medium | What is the GCD (greatest common divisor) of 94 and 51? | 1 | Find greatest number dividing both 94 and 51. Divisors common, greatest is 1. | gcd |
731,505 | number_theory | medium | What is the LCM (least common multiple) of 23 and 34? | 782 | LCM = |23*34| / GCD(23,34). GCD=1, so LCM=782/1=782. | lcm |
731,506 | 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 |
731,507 | geometry | easy | Find the circumference of a circle with radius 32. Use pi=3.14159, round to 2 decimals. | 201.06 | Circumference = 2*pi*r = 2*3.14159*32 = 201.06. | circle_circum |
731,508 | algebra | medium | Solve for x: x^2 - 13x + 36 = 0 | x = 9, 4 | Factor: (x - 9)(x - 4) = x^2 -(13)x + 36 = 0. So x = 9 or 4. Check sum = 13, product = 36. | quadratic |
731,509 | calculus | medium | What is the derivative of 4x^2 with respect to x? | 8x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^2] = 4*2*x^1 = 8x. | derivative |
731,510 | word_problems | easy | If you have 13 candies and you buy 32 more candies, how many candies do you have in total? | 45 | Add initial 13 plus bought 32: 13+32=45. | addition_word |
731,511 | percentages | easy | What is 100% of 731? | 731 | Calculate 100/100 * 731 = 1.0*731 = 731. | percentages |
731,512 | percentages | easy | What is 61% of 964? | 588.04 | Calculate 61/100 * 964 = 0.61*964 = 588.04. | percentages |
731,513 | algebra | easy | Solve for x: 18x - 21 = -219 | -11 | Add 21 to both sides: 18x = -219+21=-198. Then x = -198/18 = -11. | linear_equation |
731,514 | 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 |
731,515 | 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 |
731,516 | fractions | medium | What is 5/2 - 2/19? Give as simplified fraction. | 91/38 | Common denominator 38. Numerator 95-4=91. So 91/38 simplifies to 91/38. | fraction_operations |
731,517 | algebra | easy | Solve for x: 11x - 7 = 92 | 9 | Add 7 to both sides: 11x = 92+7=99. Then x = 99/11 = 9. | linear_equation |
731,518 | arithmetic | easy | What is 992 - 359? | 633 | Subtract: 992 - 359 = 633. | basic_operations |
731,519 | 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 |
731,520 | calculus | medium | What is the derivative of 2x^7 with respect to x? | 14x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^7] = 2*7*x^6 = 14x^6. | derivative |
731,521 | percentages | easy | What is 69% of 232? | 160.08 | Calculate 69/100 * 232 = 0.69*232 = 160.08. | percentages |
731,522 | 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 |
731,523 | algebra | medium | Solve for x: x^2 - 4 = 0 | x = -2, 2 | Factor: (x - -2)(x - 2) = x^2 -(0)x + -4 = 0. So x = -2 or 2. Check sum = 0, product = -4. | quadratic |
731,524 | word_problems | easy | If you have 27 dollars and you buy 4 more dollars, how many dollars do you have in total? | 31 | Add initial 27 plus bought 4: 27+4=31. | addition_word |
731,525 | arithmetic | easy | What is 967 + 770? | 1737 | Add the two numbers: 967 + 770 = 1737. | basic_operations |
731,526 | exponents | easy | What is 12^2? | 144 | 12^2 means multiply 12 by itself 2 times: 12*12 = 144. | exponents |
731,527 | geometry | easy | Find the perimeter of a rectangle with length 70 and width 58. | 256 | Perimeter = 2*(length+width) = 2*(70+58) = 2*128 = 256. | rectangle_perim |
731,528 | 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 |
731,529 | word_problems | easy | If you have 70 pencils and you buy 18 more pencils, how many pencils do you have in total? | 88 | Add initial 70 plus bought 18: 70+18=88. | addition_word |
731,530 | algebra | medium | Solve for x: x^2 - 10x + 16 = 0 | x = 2, 8 | Factor: (x - 2)(x - 8) = x^2 -(10)x + 16 = 0. So x = 2 or 8. Check sum = 10, product = 16. | quadratic |
731,531 | exponents | easy | What is 9^3? | 729 | 9^3 means multiply 9 by itself 3 times: 9*9*9 = 729. | exponents |
731,532 | number_theory | medium | What is the LCM (least common multiple) of 12 and 50? | 300 | LCM = |12*50| / GCD(12,50). GCD=2, so LCM=600/2=300. | lcm |
731,533 | exponents | easy | What is 12^4? | 20736 | 12^4 means multiply 12 by itself 4 times: 12*12*12*12 = 20736. | exponents |
731,534 | fractions | medium | What is 7/9 - 18/16? Give as simplified fraction. | -25/72 | Common denominator 144. Numerator 112-162=-50. So -50/144 simplifies to -25/72. | fraction_operations |
731,535 | arithmetic | easy | What is 11 + 28 * 75? Remember order of operations. | 2111 | Order of operations (PEMDAS): first 28*75=2100, then 11+2100=2111. | basic_operations |
731,536 | arithmetic | easy | What is 329 - 153? | 176 | Subtract: 329 - 153 = 176. | basic_operations |
731,537 | exponents | easy | What is 8^4? | 4096 | 8^4 means multiply 8 by itself 4 times: 8*8*8*8 = 4096. | exponents |
731,538 | arithmetic | easy | What is 517 + 388? | 905 | Add the two numbers: 517 + 388 = 905. | basic_operations |
731,539 | arithmetic | easy | What is 5868 / 18? | 326 | Divide: 5868 ÷ 18 = 326 because 18*326=5868. | division |
731,540 | geometry | easy | Find the perimeter of a rectangle with length 100 and width 61. | 322 | Perimeter = 2*(length+width) = 2*(100+61) = 2*161 = 322. | rectangle_perim |
731,541 | word_problems | easy | If you have 63 apples and you buy 30 more apples, how many apples do you have in total? | 93 | Add initial 63 plus bought 30: 63+30=93. | addition_word |
731,542 | fractions | medium | What is 11/13 - 15/6? Give as simplified fraction. | -43/26 | Common denominator 78. Numerator 66-195=-129. So -129/78 simplifies to -43/26. | fraction_operations |
731,543 | exponents | easy | What is 6^4? | 1296 | 6^4 means multiply 6 by itself 4 times: 6*6*6*6 = 1296. | exponents |
731,544 | 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 |
731,545 | exponents | easy | What is 10^3? | 1000 | 10^3 means multiply 10 by itself 3 times: 10*10*10 = 1000. | exponents |
731,546 | fractions | medium | What is 6/18 + 16/11? Give as simplified fraction. | 59/33 | Common denominator 18*11=198. 6/18=66/198, 16/11=288/198. Sum = 354/198 = 59/33 simplified. | fraction_operations |
731,547 | exponents | easy | What is 7^4? | 2401 | 7^4 means multiply 7 by itself 4 times: 7*7*7*7 = 2401. | exponents |
731,548 | geometry | easy | Find the area of a triangle with base 75 and height 22. | 825 | Area = 0.5*base*height = 0.5*75*22 = 825. | triangle_area |
731,549 | word_problems | easy | If you have 49 candies and you buy 4 more candies, how many candies do you have in total? | 53 | Add initial 49 plus bought 4: 49+4=53. | addition_word |
731,550 | arithmetic | easy | What is 33 + 1 * 57? Remember order of operations. | 90 | Order of operations (PEMDAS): first 1*57=57, then 33+57=90. | basic_operations |
731,551 | fractions | medium | What is 14/12 * 6/18? Give as simplified fraction. | 7/18 | Multiply numerators: 14*6=84. Denominators: 12*18=216. Simplify by gcd 12 to get 7/18. | fraction_operations |
731,552 | 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 |
731,553 | arithmetic | easy | What is 429 - 39? | 390 | Subtract: 429 - 39 = 390. | basic_operations |
731,554 | fractions | medium | What is 13/12 + 8/5? Give as simplified fraction. | 161/60 | Common denominator 12*5=60. 13/12=65/60, 8/5=96/60. Sum = 161/60 = 161/60 simplified. | fraction_operations |
731,555 | algebra | easy | Solve for x: 20x - 14 = 86 | 5 | Add 14 to both sides: 20x = 86+14=100. Then x = 100/20 = 5. | linear_equation |
731,556 | geometry | easy | Find the area of a triangle with base 2 and height 66. | 66 | Area = 0.5*base*height = 0.5*2*66 = 66. | triangle_area |
731,557 | exponents | easy | What is 9^2? | 81 | 9^2 means multiply 9 by itself 2 times: 9*9 = 81. | exponents |
731,558 | percentages | easy | What is 22% of 204? | 44.88 | Calculate 22/100 * 204 = 0.22*204 = 44.88. | percentages |
731,559 | percentages | easy | What is 34% of 681? | 231.54 | Calculate 34/100 * 681 = 0.34*681 = 231.54. | percentages |
731,560 | exponents | easy | What is 4^4? | 256 | 4^4 means multiply 4 by itself 4 times: 4*4*4*4 = 256. | exponents |
731,561 | algebra | medium | Solve for x: x^2 + 2x - 8 = 0 | x = -4, 2 | Factor: (x - -4)(x - 2) = x^2 -(-2)x + -8 = 0. So x = -4 or 2. Check sum = -2, product = -8. | quadratic |
731,562 | word_problems | easy | If you have 59 pencils and you buy 41 more pencils, how many pencils do you have in total? | 100 | Add initial 59 plus bought 41: 59+41=100. | addition_word |
731,563 | arithmetic | easy | What is 1848 / 7? | 264 | Divide: 1848 ÷ 7 = 264 because 7*264=1848. | division |
731,564 | word_problems | easy | If you have 23 dollars and you buy 18 more dollars, how many dollars do you have in total? | 41 | Add initial 23 plus bought 18: 23+18=41. | addition_word |
731,565 | arithmetic | easy | What is 834 + 143? | 977 | Add the two numbers: 834 + 143 = 977. | basic_operations |
731,566 | arithmetic | easy | What is 246 + 965 * 81? Remember order of operations. | 78411 | Order of operations (PEMDAS): first 965*81=78165, then 246+78165=78411. | basic_operations |
731,567 | arithmetic | easy | What is 579 + 46? | 625 | Add the two numbers: 579 + 46 = 625. | basic_operations |
731,568 | word_problems | easy | If you have 61 candies and you buy 46 more candies, how many candies do you have in total? | 107 | Add initial 61 plus bought 46: 61+46=107. | addition_word |
731,569 | arithmetic | easy | What is 36 + 94 * 36? Remember order of operations. | 3420 | Order of operations (PEMDAS): first 94*36=3384, then 36+3384=3420. | basic_operations |
731,570 | algebra | medium | Solve for x: x^2 + 16x + 64 = 0 | x = -8 | Factor as (x - -8)^2 = 0, so root is -8 (double root). Sum of roots = -16, product = 64. | quadratic |
731,571 | 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 |
731,572 | word_problems | easy | If you have 73 books and you buy 6 more books, how many books do you have in total? | 79 | Add initial 73 plus bought 6: 73+6=79. | addition_word |
731,573 | arithmetic | easy | What is 22632 / 69? | 328 | Divide: 22632 ÷ 69 = 328 because 69*328=22632. | division |
731,574 | exponents | easy | What is 2^4? | 16 | 2^4 means multiply 2 by itself 4 times: 2*2*2*2 = 16. | exponents |
731,575 | calculus | medium | What is the derivative of 10x^5 with respect to x? | 50x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^5] = 10*5*x^4 = 50x^4. | derivative |
731,576 | calculus | medium | What is the derivative of 8x^2 with respect to x? | 16x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^2] = 8*2*x^1 = 16x. | derivative |
731,577 | roots | easy | What is the square root of 1600? | 40 | Find number that when squared gives 1600. 40*40=1600, so sqrt(1600)=40. | square_roots |
731,578 | 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 |
731,579 | 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 |
731,580 | algebra | easy | Solve for x: 20x + 47 = 147 | 5 | Subtract 47 from both sides: 20x = 147-47=100. Then divide by 20: x = 100/20 = 5. | linear_equation |
731,581 | 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 |
731,582 | percentages | easy | What is 87% of 406? | 353.22 | Calculate 87/100 * 406 = 0.87*406 = 353.22. | percentages |
731,583 | exponents | easy | What is 12^4? | 20736 | 12^4 means multiply 12 by itself 4 times: 12*12*12*12 = 20736. | exponents |
731,584 | 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 |
731,585 | arithmetic | easy | What is 10619 / 37? | 287 | Divide: 10619 ÷ 37 = 287 because 37*287=10619. | division |
731,586 | arithmetic | easy | What is 888 - 811? | 77 | Subtract: 888 - 811 = 77. | basic_operations |
731,587 | arithmetic | easy | What is 250 + 357 * 31? Remember order of operations. | 11317 | Order of operations (PEMDAS): first 357*31=11067, then 250+11067=11317. | basic_operations |
731,588 | 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 |
731,589 | fractions | medium | What is 14/14 * 5/11? Give as simplified fraction. | 5/11 | Multiply numerators: 14*5=70. Denominators: 14*11=154. Simplify by gcd 14 to get 5/11. | fraction_operations |
731,590 | 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 |
731,591 | calculus | medium | What is the derivative of 10x^6 with respect to x? | 60x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^6] = 10*6*x^5 = 60x^5. | derivative |
731,592 | algebra | easy | Solve for x: 5x + 8 = -12 | -4 | Subtract 8 from both sides: 5x = -12-8=-20. Then divide by 5: x = -20/5 = -4. | linear_equation |
731,593 | percentages | easy | What is 81% of 978? | 792.18 | Calculate 81/100 * 978 = 0.81*978 = 792.18. | percentages |
731,594 | geometry | easy | Find the perimeter of a rectangle with length 87 and width 57. | 288 | Perimeter = 2*(length+width) = 2*(87+57) = 2*144 = 288. | rectangle_perim |
731,595 | percentages | easy | What is 40% of 570? | 228 | Calculate 40/100 * 570 = 0.4*570 = 228. | percentages |
731,596 | algebra | medium | Solve for x: x^2 - 64 = 0 | x = -8, 8 | Factor: (x - -8)(x - 8) = x^2 -(0)x + -64 = 0. So x = -8 or 8. Check sum = 0, product = -64. | quadratic |
731,597 | geometry | easy | Find the area of a circle with radius 5. Use pi=3.14159, round to 2 decimals. | 78.54 | Area = pi*r^2 = 3.14159*5^2 = 3.14159*25 = 78.54. | circle_area |
731,598 | 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 |
731,599 | percentages | easy | What is 6% of 812? | 48.72 | Calculate 6/100 * 812 = 0.06*812 = 48.72. | percentages |
731,600 | fractions | medium | What is 8/2 * 19/9? Give as simplified fraction. | 76/9 | Multiply numerators: 8*19=152. Denominators: 2*9=18. Simplify by gcd 2 to get 76/9. | fraction_operations |
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