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 |
|---|---|---|---|---|---|---|
6,901 | arithmetic | easy | What is 297 + 95? | 392 | Add the two numbers: 297 + 95 = 392. | basic_operations |
6,902 | word_problems | easy | If you have 85 dollars and you buy 20 more dollars, how many dollars do you have in total? | 105 | Add initial 85 plus bought 20: 85+20=105. | addition_word |
6,903 | algebra | easy | Solve for x: 16x + 39 = -217 | -16 | Subtract 39 from both sides: 16x = -217-39=-256. Then divide by 16: x = -256/16 = -16. | linear_equation |
6,904 | fractions | medium | What is 14/17 - 17/13? Give as simplified fraction. | -107/221 | Common denominator 221. Numerator 182-289=-107. So -107/221 simplifies to -107/221. | fraction_operations |
6,905 | 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 |
6,906 | fractions | medium | What is 20/4 + 8/19? Give as simplified fraction. | 103/19 | Common denominator 4*19=76. 20/4=380/76, 8/19=32/76. Sum = 412/76 = 103/19 simplified. | fraction_operations |
6,907 | arithmetic | easy | What is 941 - 653? | 288 | Subtract: 941 - 653 = 288. | basic_operations |
6,908 | arithmetic | easy | What is 16770 / 86? | 195 | Divide: 16770 ÷ 86 = 195 because 86*195=16770. | division |
6,909 | algebra | medium | Solve for x: x^2 - 7x - 30 = 0 | x = -3, 10 | Factor: (x - -3)(x - 10) = x^2 -(7)x + -30 = 0. So x = -3 or 10. Check sum = 7, product = -30. | quadratic |
6,910 | algebra | easy | Solve for x: 4x - 6 = -14 | -2 | Add 6 to both sides: 4x = -14+6=-8. Then x = -8/4 = -2. | linear_equation |
6,911 | arithmetic | easy | What is 78 + 728? | 806 | Add the two numbers: 78 + 728 = 806. | basic_operations |
6,912 | fractions | medium | What is 11/3 * 14/15? Give as simplified fraction. | 154/45 | Multiply numerators: 11*14=154. Denominators: 3*15=45. Simplify by gcd 1 to get 154/45. | fraction_operations |
6,913 | algebra | medium | Solve for x: x^2 + 6x - 16 = 0 | x = 2, -8 | Factor: (x - 2)(x - -8) = x^2 -(-6)x + -16 = 0. So x = 2 or -8. Check sum = -6, product = -16. | quadratic |
6,914 | 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 |
6,915 | geometry | easy | Find the area of a circle with radius 22. Use pi=3.14159, round to 2 decimals. | 1520.53 | Area = pi*r^2 = 3.14159*22^2 = 3.14159*484 = 1520.53. | circle_area |
6,916 | algebra | medium | Solve for x: x^2 + 5x = 0 | x = 0, -5 | Factor: (x - 0)(x - -5) = x^2 -(-5)x + 0 = 0. So x = 0 or -5. Check sum = -5, product = 0. | quadratic |
6,917 | statistics | easy | What is the mean (average) of 40, 10, 1, 18, 82? | 30.2 | Mean = sum/count. Sum = 40+10+1+18+82=151. Count=5. Mean=151/5=30.2. | mean |
6,918 | number_theory | medium | What is the GCD (greatest common divisor) of 37 and 63? | 1 | Find greatest number dividing both 37 and 63. Divisors common, greatest is 1. | gcd |
6,919 | word_problems | easy | If you have 79 pencils and you buy 35 more pencils, how many pencils do you have in total? | 114 | Add initial 79 plus bought 35: 79+35=114. | addition_word |
6,920 | geometry | easy | Find the area of a triangle with base 68 and height 46. | 1564 | Area = 0.5*base*height = 0.5*68*46 = 1564. | triangle_area |
6,921 | 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 |
6,922 | exponents | easy | What is 10^3? | 1000 | 10^3 means multiply 10 by itself 3 times: 10*10*10 = 1000. | exponents |
6,923 | arithmetic | easy | What is 81 * 90? | 7290 | Multiply: 81 * 90 = 7290. | basic_operations |
6,924 | 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 |
6,925 | number_theory | medium | What is the GCD (greatest common divisor) of 85 and 52? | 1 | Find greatest number dividing both 85 and 52. Divisors common, greatest is 1. | gcd |
6,926 | number_theory | medium | What is the LCM (least common multiple) of 47 and 100? | 4700 | LCM = |47*100| / GCD(47,100). GCD=1, so LCM=4700/1=4700. | lcm |
6,927 | algebra | easy | Solve for x: 6x + 7 = 127 | 20 | Subtract 7 from both sides: 6x = 127-7=120. Then divide by 6: x = 120/6 = 20. | linear_equation |
6,928 | arithmetic | easy | What is 467 + 160 * 50? Remember order of operations. | 8467 | Order of operations (PEMDAS): first 160*50=8000, then 467+8000=8467. | basic_operations |
6,929 | number_theory | medium | What is the GCD (greatest common divisor) of 52 and 47? | 1 | Find greatest number dividing both 52 and 47. Divisors common, greatest is 1. | gcd |
6,930 | geometry | easy | Find the circumference of a circle with radius 1. Use pi=3.14159, round to 2 decimals. | 6.28 | Circumference = 2*pi*r = 2*3.14159*1 = 6.28. | circle_circum |
6,931 | statistics | easy | What is the mean (average) of 85, 6, 11? | 34 | Mean = sum/count. Sum = 85+6+11=102. Count=3. Mean=102/3=34.0. | mean |
6,932 | exponents | easy | What is 12^4? | 20736 | 12^4 means multiply 12 by itself 4 times: 12*12*12*12 = 20736. | exponents |
6,933 | arithmetic | easy | What is 117 divided by 30? Give answer to 2 decimal places. | 3.9 | Calculate 117/ 30 = 3.9000, rounded to 2 decimals is 3.9. | division |
6,934 | 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 |
6,935 | algebra | medium | Solve for x: x^2 + 11x + 18 = 0 | x = -2, -9 | Factor: (x - -2)(x - -9) = x^2 -(-11)x + 18 = 0. So x = -2 or -9. Check sum = -11, product = 18. | quadratic |
6,936 | word_problems | easy | If you have 18 apples and you buy 1 more apples, how many apples do you have in total? | 19 | Add initial 18 plus bought 1: 18+1=19. | addition_word |
6,937 | 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 |
6,938 | arithmetic | easy | What is 689 + 279? | 968 | Add the two numbers: 689 + 279 = 968. | basic_operations |
6,939 | algebra | easy | Solve for x: 1x + 10 = 16 | 6 | Subtract 10 from both sides: 1x = 16-10=6. Then divide by 1: x = 6/1 = 6. | linear_equation |
6,940 | algebra | medium | Solve for x: x^2 - 2x - 24 = 0 | x = -4, 6 | Factor: (x - -4)(x - 6) = x^2 -(2)x + -24 = 0. So x = -4 or 6. Check sum = 2, product = -24. | quadratic |
6,941 | arithmetic | easy | What is 3060 / 17? | 180 | Divide: 3060 ÷ 17 = 180 because 17*180=3060. | division |
6,942 | percentages | easy | What is 19% of 566? | 107.54 | Calculate 19/100 * 566 = 0.19*566 = 107.54. | percentages |
6,943 | algebra | easy | Solve for x: 6x - 28 = 62 | 15 | Add 28 to both sides: 6x = 62+28=90. Then x = 90/6 = 15. | linear_equation |
6,944 | algebra | easy | Solve for x: 10x - 49 = 91 | 14 | Add 49 to both sides: 10x = 91+49=140. Then x = 140/10 = 14. | linear_equation |
6,945 | geometry | easy | Find the circumference of a circle with radius 21. Use pi=3.14159, round to 2 decimals. | 131.95 | Circumference = 2*pi*r = 2*3.14159*21 = 131.95. | circle_circum |
6,946 | algebra | easy | Solve for x: 17x - 26 = 8 | 2 | Add 26 to both sides: 17x = 8+26=34. Then x = 34/17 = 2. | linear_equation |
6,947 | exponents | easy | What is 2^2? | 4 | 2^2 means multiply 2 by itself 2 times: 2*2 = 4. | exponents |
6,948 | geometry | easy | Find the area of a rectangle with length 5 and width 93. | 465 | Area = length * width = 5*93 = 465. | rectangle_area |
6,949 | geometry | easy | Find the circumference of a circle with radius 39. Use pi=3.14159, round to 2 decimals. | 245.04 | Circumference = 2*pi*r = 2*3.14159*39 = 245.04. | circle_circum |
6,950 | arithmetic | easy | What is 5921 / 31? | 191 | Divide: 5921 ÷ 31 = 191 because 31*191=5921. | division |
6,951 | arithmetic | easy | What is 5874 / 33? | 178 | Divide: 5874 ÷ 33 = 178 because 33*178=5874. | division |
6,952 | fractions | medium | What is 11/16 * 5/7? Give as simplified fraction. | 55/112 | Multiply numerators: 11*5=55. Denominators: 16*7=112. Simplify by gcd 1 to get 55/112. | fraction_operations |
6,953 | algebra | easy | Solve for x: 1x + 5 = 3 | -2 | Subtract 5 from both sides: 1x = 3-5=-2. Then divide by 1: x = -2/1 = -2. | linear_equation |
6,954 | arithmetic | easy | What is 29844 divided by 83? Give answer to 2 decimal places. | 359.57 | Calculate 29844/ 83 = 359.5663, rounded to 2 decimals is 359.57. | division |
6,955 | arithmetic | easy | What is 31 + 4 * 60? Remember order of operations. | 271 | Order of operations (PEMDAS): first 4*60=240, then 31+240=271. | basic_operations |
6,956 | arithmetic | easy | What is 872 + 75 * 4? Remember order of operations. | 1172 | Order of operations (PEMDAS): first 75*4=300, then 872+300=1172. | basic_operations |
6,957 | exponents | easy | What is 7^3? | 343 | 7^3 means multiply 7 by itself 3 times: 7*7*7 = 343. | exponents |
6,958 | exponents | easy | What is 3^4? | 81 | 3^4 means multiply 3 by itself 4 times: 3*3*3*3 = 81. | exponents |
6,959 | algebra | easy | Solve for x: 17x + 47 = -191 | -14 | Subtract 47 from both sides: 17x = -191-47=-238. Then divide by 17: x = -238/17 = -14. | linear_equation |
6,960 | geometry | easy | Find the area of a circle with radius 31. Use pi=3.14159, round to 2 decimals. | 3019.07 | Area = pi*r^2 = 3.14159*31^2 = 3.14159*961 = 3019.07. | circle_area |
6,961 | 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 |
6,962 | word_problems | easy | If you have 41 books and you buy 47 more books, how many books do you have in total? | 88 | Add initial 41 plus bought 47: 41+47=88. | addition_word |
6,963 | arithmetic | easy | What is 87 * 72? | 6264 | Multiply: 87 * 72 = 6264. | basic_operations |
6,964 | percentages | easy | What is 3% of 395? | 11.85 | Calculate 3/100 * 395 = 0.03*395 = 11.85. | percentages |
6,965 | percentages | easy | What is 97% of 353? | 342.41 | Calculate 97/100 * 353 = 0.97*353 = 342.41. | percentages |
6,966 | statistics | easy | What is the mean (average) of 83, 91, 4, 87, 30? | 59 | Mean = sum/count. Sum = 83+91+4+87+30=295. Count=5. Mean=295/5=59.0. | mean |
6,967 | word_problems | easy | If you have 76 apples and you buy 38 more apples, how many apples do you have in total? | 114 | Add initial 76 plus bought 38: 76+38=114. | addition_word |
6,968 | algebra | easy | Solve for x: 4x - 22 = 54 | 19 | Add 22 to both sides: 4x = 54+22=76. Then x = 76/4 = 19. | linear_equation |
6,969 | word_problems | easy | If you have 37 candies and you buy 16 more candies, how many candies do you have in total? | 53 | Add initial 37 plus bought 16: 37+16=53. | addition_word |
6,970 | arithmetic | easy | What is 42 * 45? | 1890 | Multiply: 42 * 45 = 1890. | basic_operations |
6,971 | number_theory | medium | What is the LCM (least common multiple) of 76 and 74? | 2812 | LCM = |76*74| / GCD(76,74). GCD=2, so LCM=5624/2=2812. | lcm |
6,972 | arithmetic | easy | What is 558 + 778? | 1336 | Add the two numbers: 558 + 778 = 1336. | basic_operations |
6,973 | arithmetic | easy | What is 855 - 430? | 425 | Subtract: 855 - 430 = 425. | basic_operations |
6,974 | arithmetic | easy | What is 707 + 306? | 1013 | Add the two numbers: 707 + 306 = 1013. | basic_operations |
6,975 | 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 |
6,976 | calculus | medium | What is the derivative of 1x^2 with respect to x? | 2x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^2] = 1*2*x^1 = 2x. | derivative |
6,977 | 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 |
6,978 | word_problems | easy | If you have 35 candies and you buy 15 more candies, how many candies do you have in total? | 50 | Add initial 35 plus bought 15: 35+15=50. | addition_word |
6,979 | geometry | easy | Find the area of a circle with radius 29. Use pi=3.14159, round to 2 decimals. | 2642.08 | Area = pi*r^2 = 3.14159*29^2 = 3.14159*841 = 2642.08. | circle_area |
6,980 | arithmetic | easy | What is 85 + 409? | 494 | Add the two numbers: 85 + 409 = 494. | basic_operations |
6,981 | arithmetic | easy | What is 72 + 9 * 54? Remember order of operations. | 558 | Order of operations (PEMDAS): first 9*54=486, then 72+486=558. | basic_operations |
6,982 | arithmetic | easy | What is 3 + 66 * 29? Remember order of operations. | 1917 | Order of operations (PEMDAS): first 66*29=1914, then 3+1914=1917. | basic_operations |
6,983 | statistics | easy | What is the mean (average) of 52, 79, 79, 21, 82? | 62.6 | Mean = sum/count. Sum = 52+79+79+21+82=313. Count=5. Mean=313/5=62.6. | mean |
6,984 | calculus | medium | What is the derivative of 5x^4 with respect to x? | 20x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^4] = 5*4*x^3 = 20x^3. | derivative |
6,985 | exponents | easy | What is 9^5? | 59049 | 9^5 means multiply 9 by itself 5 times: 9*9*9*9*9 = 59049. | exponents |
6,986 | algebra | medium | Solve for x: x^2 + 10x = 0 | x = 0, -10 | Factor: (x - 0)(x - -10) = x^2 -(-10)x + 0 = 0. So x = 0 or -10. Check sum = -10, product = 0. | quadratic |
6,987 | exponents | easy | What is 12^3? | 1728 | 12^3 means multiply 12 by itself 3 times: 12*12*12 = 1728. | exponents |
6,988 | percentages | easy | What is 96% of 145? | 139.2 | Calculate 96/100 * 145 = 0.96*145 = 139.2. | percentages |
6,989 | geometry | easy | Find the perimeter of a rectangle with length 28 and width 39. | 134 | Perimeter = 2*(length+width) = 2*(28+39) = 2*67 = 134. | rectangle_perim |
6,990 | arithmetic | easy | What is 786 + 33? | 819 | Add the two numbers: 786 + 33 = 819. | basic_operations |
6,991 | algebra | easy | Solve for x: 10x - 36 = -26 | 1 | Add 36 to both sides: 10x = -26+36=10. Then x = 10/10 = 1. | linear_equation |
6,992 | 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 |
6,993 | calculus | medium | What is the derivative of 2x^6 with respect to x? | 12x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^6] = 2*6*x^5 = 12x^5. | derivative |
6,994 | roots | easy | What is the square root of 1225? | 35 | Find number that when squared gives 1225. 35*35=1225, so sqrt(1225)=35. | square_roots |
6,995 | 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 |
6,996 | word_problems | easy | If you have 41 apples and you buy 38 more apples, how many apples do you have in total? | 79 | Add initial 41 plus bought 38: 41+38=79. | addition_word |
6,997 | calculus | medium | What is the derivative of 8x^3 with respect to x? | 24x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^3] = 8*3*x^2 = 24x^2. | derivative |
6,998 | 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 |
6,999 | geometry | easy | Find the perimeter of a rectangle with length 48 and width 58. | 212 | Perimeter = 2*(length+width) = 2*(48+58) = 2*106 = 212. | rectangle_perim |
7,000 | arithmetic | easy | What is 245 + 782? | 1027 | Add the two numbers: 245 + 782 = 1027. | basic_operations |
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