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 |
|---|---|---|---|---|---|---|
732,701 | algebra | easy | Solve for x: 19x + 11 = 68 | 3 | Subtract 11 from both sides: 19x = 68-11=57. Then divide by 19: x = 57/19 = 3. | linear_equation |
732,702 | roots | easy | What is the square root of 25? | 5 | Find number that when squared gives 25. 5*5=25, so sqrt(25)=5. | square_roots |
732,703 | exponents | easy | What is 8^2? | 64 | 8^2 means multiply 8 by itself 2 times: 8*8 = 64. | exponents |
732,704 | fractions | medium | What is 13/11 - 18/16? Give as simplified fraction. | 5/88 | Common denominator 176. Numerator 208-198=10. So 10/176 simplifies to 5/88. | fraction_operations |
732,705 | number_theory | medium | What is the GCD (greatest common divisor) of 88 and 77? | 11 | Find greatest number dividing both 88 and 77. Divisors common, greatest is 11. | gcd |
732,706 | calculus | medium | What is the derivative of 2x^2 with respect to x? | 4x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^2] = 2*2*x^1 = 4x. | derivative |
732,707 | algebra | easy | Solve for x: 20x - 6 = 254 | 13 | Add 6 to both sides: 20x = 254+6=260. Then x = 260/20 = 13. | linear_equation |
732,708 | algebra | easy | Solve for x: 14x + 33 = -191 | -16 | Subtract 33 from both sides: 14x = -191-33=-224. Then divide by 14: x = -224/14 = -16. | linear_equation |
732,709 | word_problems | easy | If you have 22 candies and you buy 47 more candies, how many candies do you have in total? | 69 | Add initial 22 plus bought 47: 22+47=69. | addition_word |
732,710 | arithmetic | easy | What is 45687 / 97? | 471 | Divide: 45687 ÷ 97 = 471 because 97*471=45687. | division |
732,711 | calculus | medium | What is the derivative of 7x^6 with respect to x? | 42x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^6] = 7*6*x^5 = 42x^5. | derivative |
732,712 | 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 |
732,713 | arithmetic | easy | What is 71 * 74? | 5254 | Multiply: 71 * 74 = 5254. | basic_operations |
732,714 | fractions | medium | What is 9/14 * 20/7? Give as simplified fraction. | 90/49 | Multiply numerators: 9*20=180. Denominators: 14*7=98. Simplify by gcd 2 to get 90/49. | fraction_operations |
732,715 | exponents | easy | What is 2^4? | 16 | 2^4 means multiply 2 by itself 4 times: 2*2*2*2 = 16. | exponents |
732,716 | 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 |
732,717 | arithmetic | easy | What is 47 * 1? | 47 | Multiply: 47 * 1 = 47. | basic_operations |
732,718 | arithmetic | easy | What is 986 + 243 * 3? Remember order of operations. | 1715 | Order of operations (PEMDAS): first 243*3=729, then 986+729=1715. | basic_operations |
732,719 | 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 |
732,720 | number_theory | medium | What is the GCD (greatest common divisor) of 45 and 40? | 5 | Find greatest number dividing both 45 and 40. Divisors common, greatest is 5. | gcd |
732,721 | arithmetic | easy | What is 228 / 3? | 76 | Divide: 228 ÷ 3 = 76 because 3*76=228. | division |
732,722 | number_theory | medium | What is the GCD (greatest common divisor) of 42 and 6? | 6 | Find greatest number dividing both 42 and 6. Divisors common, greatest is 6. | gcd |
732,723 | percentages | easy | What is 91% of 186? | 169.26 | Calculate 91/100 * 186 = 0.91*186 = 169.26. | percentages |
732,724 | geometry | easy | Find the area of a rectangle with length 13 and width 64. | 832 | Area = length * width = 13*64 = 832. | rectangle_area |
732,725 | percentages | easy | What is 62% of 917? | 568.54 | Calculate 62/100 * 917 = 0.62*917 = 568.54. | percentages |
732,726 | roots | easy | What is the square root of 324? | 18 | Find number that when squared gives 324. 18*18=324, so sqrt(324)=18. | square_roots |
732,727 | calculus | medium | What is the derivative of 3x^2 with respect to x? | 6x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^2] = 3*2*x^1 = 6x. | derivative |
732,728 | number_theory | medium | What is the GCD (greatest common divisor) of 8 and 98? | 2 | Find greatest number dividing both 8 and 98. Divisors common, greatest is 2. | gcd |
732,729 | arithmetic | easy | What is 23441 divided by 73? Give answer to 2 decimal places. | 321.11 | Calculate 23441/ 73 = 321.1096, rounded to 2 decimals is 321.11. | division |
732,730 | roots | easy | What is the square root of 1764? | 42 | Find number that when squared gives 1764. 42*42=1764, so sqrt(1764)=42. | square_roots |
732,731 | statistics | easy | What is the mean (average) of 4, 67, 1, 66? | 34.5 | Mean = sum/count. Sum = 4+67+1+66=138. Count=4. Mean=138/4=34.5. | mean |
732,732 | fractions | medium | What is 13/7 * 14/20? Give as simplified fraction. | 13/10 | Multiply numerators: 13*14=182. Denominators: 7*20=140. Simplify by gcd 14 to get 13/10. | fraction_operations |
732,733 | arithmetic | easy | What is 80 + 12 * 4? Remember order of operations. | 128 | Order of operations (PEMDAS): first 12*4=48, then 80+48=128. | basic_operations |
732,734 | 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 |
732,735 | algebra | medium | Solve for x: x^2 - 16 = 0 | x = -4, 4 | Factor: (x - -4)(x - 4) = x^2 -(0)x + -16 = 0. So x = -4 or 4. Check sum = 0, product = -16. | quadratic |
732,736 | number_theory | medium | What is the GCD (greatest common divisor) of 91 and 65? | 13 | Find greatest number dividing both 91 and 65. Divisors common, greatest is 13. | gcd |
732,737 | 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 |
732,738 | exponents | easy | What is 8^2? | 64 | 8^2 means multiply 8 by itself 2 times: 8*8 = 64. | exponents |
732,739 | arithmetic | easy | What is 2552 / 22? | 116 | Divide: 2552 ÷ 22 = 116 because 22*116=2552. | division |
732,740 | algebra | medium | Solve for x: x^2 - 7x + 10 = 0 | x = 2, 5 | Factor: (x - 2)(x - 5) = x^2 -(7)x + 10 = 0. So x = 2 or 5. Check sum = 7, product = 10. | quadratic |
732,741 | statistics | easy | What is the mean (average) of 41, 81, 83, 1, 73? | 55.8 | Mean = sum/count. Sum = 41+81+83+1+73=279. Count=5. Mean=279/5=55.8. | mean |
732,742 | 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 |
732,743 | exponents | easy | What is 3^3? | 27 | 3^3 means multiply 3 by itself 3 times: 3*3*3 = 27. | exponents |
732,744 | roots | easy | What is the square root of 144? | 12 | Find number that when squared gives 144. 12*12=144, so sqrt(144)=12. | square_roots |
732,745 | 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 |
732,746 | arithmetic | easy | What is 57 + 50 * 5? Remember order of operations. | 307 | Order of operations (PEMDAS): first 50*5=250, then 57+250=307. | basic_operations |
732,747 | arithmetic | easy | What is 12122 / 29? | 418 | Divide: 12122 ÷ 29 = 418 because 29*418=12122. | division |
732,748 | algebra | medium | Solve for x: x^2 - 8x + 15 = 0 | x = 5, 3 | Factor: (x - 5)(x - 3) = x^2 -(8)x + 15 = 0. So x = 5 or 3. Check sum = 8, product = 15. | quadratic |
732,749 | arithmetic | easy | What is 29072 / 92? | 316 | Divide: 29072 ÷ 92 = 316 because 92*316=29072. | division |
732,750 | 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 |
732,751 | 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 |
732,752 | fractions | medium | What is 1/6 - 4/17? Give as simplified fraction. | -7/102 | Common denominator 102. Numerator 17-24=-7. So -7/102 simplifies to -7/102. | fraction_operations |
732,753 | statistics | easy | What is the mean (average) of 44, 89, 69, 44? | 61.5 | Mean = sum/count. Sum = 44+89+69+44=246. Count=4. Mean=246/4=61.5. | mean |
732,754 | word_problems | easy | If you have 60 books and you buy 15 more books, how many books do you have in total? | 75 | Add initial 60 plus bought 15: 60+15=75. | addition_word |
732,755 | 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 |
732,756 | 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 |
732,757 | arithmetic | easy | What is 661 + 533 * 90? Remember order of operations. | 48631 | Order of operations (PEMDAS): first 533*90=47970, then 661+47970=48631. | basic_operations |
732,758 | arithmetic | easy | What is 798 - 795? | 3 | Subtract: 798 - 795 = 3. | basic_operations |
732,759 | arithmetic | easy | What is 884 + 106? | 990 | Add the two numbers: 884 + 106 = 990. | basic_operations |
732,760 | arithmetic | easy | What is 11 * 36? | 396 | Multiply: 11 * 36 = 396. | basic_operations |
732,761 | geometry | easy | Find the area of a rectangle with length 6 and width 9. | 54 | Area = length * width = 6*9 = 54. | rectangle_area |
732,762 | geometry | easy | Find the area of a circle with radius 16. Use pi=3.14159, round to 2 decimals. | 804.25 | Area = pi*r^2 = 3.14159*16^2 = 3.14159*256 = 804.25. | circle_area |
732,763 | fractions | medium | What is 1/18 + 15/13? Give as simplified fraction. | 283/234 | Common denominator 18*13=234. 1/18=13/234, 15/13=270/234. Sum = 283/234 = 283/234 simplified. | fraction_operations |
732,764 | word_problems | easy | If you have 16 books and you buy 14 more books, how many books do you have in total? | 30 | Add initial 16 plus bought 14: 16+14=30. | addition_word |
732,765 | calculus | medium | What is the derivative of 5x^8 with respect to x? | 40x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^8] = 5*8*x^7 = 40x^7. | derivative |
732,766 | percentages | easy | What is 43% of 591? | 254.13 | Calculate 43/100 * 591 = 0.43*591 = 254.13. | percentages |
732,767 | percentages | easy | What is 88% of 431? | 379.28 | Calculate 88/100 * 431 = 0.88*431 = 379.28. | percentages |
732,768 | arithmetic | easy | What is 12656 / 28? | 452 | Divide: 12656 ÷ 28 = 452 because 28*452=12656. | division |
732,769 | word_problems | easy | If you have 39 candies and you buy 16 more candies, how many candies do you have in total? | 55 | Add initial 39 plus bought 16: 39+16=55. | addition_word |
732,770 | arithmetic | easy | What is 552 + 388 * 96? Remember order of operations. | 37800 | Order of operations (PEMDAS): first 388*96=37248, then 552+37248=37800. | basic_operations |
732,771 | geometry | easy | Find the area of a rectangle with length 45 and width 71. | 3195 | Area = length * width = 45*71 = 3195. | rectangle_area |
732,772 | arithmetic | easy | What is 598 + 339? | 937 | Add the two numbers: 598 + 339 = 937. | basic_operations |
732,773 | geometry | easy | Find the area of a triangle with base 30 and height 11. | 165 | Area = 0.5*base*height = 0.5*30*11 = 165. | triangle_area |
732,774 | 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 |
732,775 | percentages | easy | What is 55% of 318? | 174.9 | Calculate 55/100 * 318 = 0.55*318 = 174.9. | percentages |
732,776 | percentages | easy | What is 59% of 859? | 506.81 | Calculate 59/100 * 859 = 0.59*859 = 506.81. | percentages |
732,777 | geometry | easy | Find the area of a circle with radius 14. Use pi=3.14159, round to 2 decimals. | 615.75 | Area = pi*r^2 = 3.14159*14^2 = 3.14159*196 = 615.75. | circle_area |
732,778 | arithmetic | easy | What is 29 * 28? | 812 | Multiply: 29 * 28 = 812. | basic_operations |
732,779 | arithmetic | easy | What is 29 * 55? | 1595 | Multiply: 29 * 55 = 1595. | basic_operations |
732,780 | geometry | easy | Find the area of a triangle with base 68 and height 22. | 748 | Area = 0.5*base*height = 0.5*68*22 = 748. | triangle_area |
732,781 | geometry | easy | Find the area of a rectangle with length 2 and width 90. | 180 | Area = length * width = 2*90 = 180. | rectangle_area |
732,782 | exponents | easy | What is 4^5? | 1024 | 4^5 means multiply 4 by itself 5 times: 4*4*4*4*4 = 1024. | exponents |
732,783 | arithmetic | easy | What is 824 - 17? | 807 | Subtract: 824 - 17 = 807. | basic_operations |
732,784 | arithmetic | easy | What is 27 + 35 * 90? Remember order of operations. | 3177 | Order of operations (PEMDAS): first 35*90=3150, then 27+3150=3177. | basic_operations |
732,785 | exponents | easy | What is 12^2? | 144 | 12^2 means multiply 12 by itself 2 times: 12*12 = 144. | exponents |
732,786 | roots | easy | What is the square root of 9? | 3 | Find number that when squared gives 9. 3*3=9, so sqrt(9)=3. | square_roots |
732,787 | fractions | medium | What is 10/16 - 14/3? Give as simplified fraction. | -97/24 | Common denominator 48. Numerator 30-224=-194. So -194/48 simplifies to -97/24. | fraction_operations |
732,788 | algebra | medium | Solve for x: x^2 - 3x - 40 = 0 | x = 8, -5 | Factor: (x - 8)(x - -5) = x^2 -(3)x + -40 = 0. So x = 8 or -5. Check sum = 3, product = -40. | quadratic |
732,789 | geometry | easy | Find the perimeter of a rectangle with length 6 and width 65. | 142 | Perimeter = 2*(length+width) = 2*(6+65) = 2*71 = 142. | rectangle_perim |
732,790 | fractions | medium | What is 5/14 - 19/15? Give as simplified fraction. | -191/210 | Common denominator 210. Numerator 75-266=-191. So -191/210 simplifies to -191/210. | fraction_operations |
732,791 | fractions | medium | What is 15/8 - 16/11? Give as simplified fraction. | 37/88 | Common denominator 88. Numerator 165-128=37. So 37/88 simplifies to 37/88. | fraction_operations |
732,792 | arithmetic | easy | What is 5688 / 79? | 72 | Divide: 5688 ÷ 79 = 72 because 79*72=5688. | division |
732,793 | algebra | easy | Solve for x: 8x + 16 = 24 | 1 | Subtract 16 from both sides: 8x = 24-16=8. Then divide by 8: x = 8/8 = 1. | linear_equation |
732,794 | arithmetic | easy | What is 78 * 10? | 780 | Multiply: 78 * 10 = 780. | basic_operations |
732,795 | fractions | medium | What is 15/3 * 7/20? Give as simplified fraction. | 7/4 | Multiply numerators: 15*7=105. Denominators: 3*20=60. Simplify by gcd 15 to get 7/4. | fraction_operations |
732,796 | number_theory | medium | What is the LCM (least common multiple) of 59 and 73? | 4307 | LCM = |59*73| / GCD(59,73). GCD=1, so LCM=4307/1=4307. | lcm |
732,797 | arithmetic | easy | What is 6630 / 39? | 170 | Divide: 6630 ÷ 39 = 170 because 39*170=6630. | division |
732,798 | word_problems | easy | If you have 91 candies and you buy 48 more candies, how many candies do you have in total? | 139 | Add initial 91 plus bought 48: 91+48=139. | addition_word |
732,799 | exponents | easy | What is 11^4? | 14641 | 11^4 means multiply 11 by itself 4 times: 11*11*11*11 = 14641. | exponents |
732,800 | arithmetic | easy | What is 6 * 40? | 240 | Multiply: 6 * 40 = 240. | basic_operations |
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