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 |
|---|---|---|---|---|---|---|
7,901 | 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 |
7,902 | arithmetic | easy | What is 70 * 13? | 910 | Multiply: 70 * 13 = 910. | basic_operations |
7,903 | fractions | medium | What is 15/15 + 17/11? Give as simplified fraction. | 28/11 | Common denominator 15*11=165. 15/15=165/165, 17/11=255/165. Sum = 420/165 = 28/11 simplified. | fraction_operations |
7,904 | geometry | easy | Find the circumference of a circle with radius 6. Use pi=3.14159, round to 2 decimals. | 37.7 | Circumference = 2*pi*r = 2*3.14159*6 = 37.7. | circle_circum |
7,905 | 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 |
7,906 | algebra | easy | Solve for x: 6x - 47 = -143 | -16 | Add 47 to both sides: 6x = -143+47=-96. Then x = -96/6 = -16. | linear_equation |
7,907 | geometry | easy | Find the area of a triangle with base 32 and height 26. | 416 | Area = 0.5*base*height = 0.5*32*26 = 416. | triangle_area |
7,908 | percentages | easy | What is 42% of 274? | 115.08 | Calculate 42/100 * 274 = 0.42*274 = 115.08. | percentages |
7,909 | arithmetic | easy | What is 921 + 100? | 1021 | Add the two numbers: 921 + 100 = 1021. | basic_operations |
7,910 | fractions | medium | What is 13/2 * 7/2? Give as simplified fraction. | 91/4 | Multiply numerators: 13*7=91. Denominators: 2*2=4. Simplify by gcd 1 to get 91/4. | fraction_operations |
7,911 | statistics | easy | What is the mean (average) of 38, 60, 62, 6? | 41.5 | Mean = sum/count. Sum = 38+60+62+6=166. Count=4. Mean=166/4=41.5. | mean |
7,912 | arithmetic | easy | What is 678 - 432? | 246 | Subtract: 678 - 432 = 246. | basic_operations |
7,913 | percentages | easy | What is 100% of 477? | 477 | Calculate 100/100 * 477 = 1.0*477 = 477. | percentages |
7,914 | calculus | medium | What is the derivative of 10x^3 with respect to x? | 30x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^3] = 10*3*x^2 = 30x^2. | derivative |
7,915 | number_theory | medium | What is the LCM (least common multiple) of 1 and 62? | 62 | LCM = |1*62| / GCD(1,62). GCD=1, so LCM=62/1=62. | lcm |
7,916 | statistics | easy | What is the mean (average) of 9, 82, 54, 24, 13? | 36.4 | Mean = sum/count. Sum = 9+82+54+24+13=182. Count=5. Mean=182/5=36.4. | mean |
7,917 | statistics | easy | What is the mean (average) of 6, 37, 70? | 37.67 | Mean = sum/count. Sum = 6+37+70=113. Count=3. Mean=113/3=37.67. | mean |
7,918 | 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 |
7,919 | exponents | easy | What is 3^5? | 243 | 3^5 means multiply 3 by itself 5 times: 3*3*3*3*3 = 243. | exponents |
7,920 | percentages | easy | What is 6% of 232? | 13.92 | Calculate 6/100 * 232 = 0.06*232 = 13.92. | percentages |
7,921 | algebra | medium | Solve for x: x^2 - 1x - 2 = 0 | x = 2, -1 | Factor: (x - 2)(x - -1) = x^2 -(1)x + -2 = 0. So x = 2 or -1. Check sum = 1, product = -2. | quadratic |
7,922 | 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 |
7,923 | geometry | easy | Find the area of a triangle with base 55 and height 60. | 1650 | Area = 0.5*base*height = 0.5*55*60 = 1650. | triangle_area |
7,924 | exponents | easy | What is 3^2? | 9 | 3^2 means multiply 3 by itself 2 times: 3*3 = 9. | exponents |
7,925 | calculus | medium | What is the derivative of 6x^2 with respect to x? | 12x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^2] = 6*2*x^1 = 12x. | derivative |
7,926 | percentages | easy | What is 78% of 699? | 545.22 | Calculate 78/100 * 699 = 0.78*699 = 545.22. | percentages |
7,927 | arithmetic | easy | What is 5 * 73? | 365 | Multiply: 5 * 73 = 365. | basic_operations |
7,928 | statistics | easy | What is the mean (average) of 2, 30, 39, 17, 44? | 26.4 | Mean = sum/count. Sum = 2+30+39+17+44=132. Count=5. Mean=132/5=26.4. | mean |
7,929 | arithmetic | easy | What is 45433 divided by 92? Give answer to 2 decimal places. | 493.84 | Calculate 45433/ 92 = 493.8370, rounded to 2 decimals is 493.84. | division |
7,930 | arithmetic | easy | What is 48 * 72? | 3456 | Multiply: 48 * 72 = 3456. | basic_operations |
7,931 | fractions | medium | What is 13/19 - 5/20? Give as simplified fraction. | 33/76 | Common denominator 380. Numerator 260-95=165. So 165/380 simplifies to 33/76. | fraction_operations |
7,932 | word_problems | easy | If you have 6 dollars and you buy 30 more dollars, how many dollars do you have in total? | 36 | Add initial 6 plus bought 30: 6+30=36. | addition_word |
7,933 | algebra | medium | Solve for x: x^2 + 7x = 0 | x = -7, 0 | Factor: (x - -7)(x - 0) = x^2 -(-7)x + 0 = 0. So x = -7 or 0. Check sum = -7, product = 0. | quadratic |
7,934 | percentages | easy | What is 9% of 613? | 55.17 | Calculate 9/100 * 613 = 0.09*613 = 55.17. | percentages |
7,935 | percentages | easy | What is 82% of 923? | 756.86 | Calculate 82/100 * 923 = 0.82*923 = 756.86. | percentages |
7,936 | calculus | medium | What is the derivative of 3x^7 with respect to x? | 21x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^7] = 3*7*x^6 = 21x^6. | derivative |
7,937 | roots | easy | What is the square root of 121? | 11 | Find number that when squared gives 121. 11*11=121, so sqrt(121)=11. | square_roots |
7,938 | calculus | medium | What is the derivative of 1x^8 with respect to x? | 8x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^8] = 1*8*x^7 = 8x^7. | derivative |
7,939 | algebra | easy | Solve for x: 6x - 36 = 6 | 7 | Add 36 to both sides: 6x = 6+36=42. Then x = 42/6 = 7. | linear_equation |
7,940 | arithmetic | easy | What is 725 - 564? | 161 | Subtract: 725 - 564 = 161. | basic_operations |
7,941 | geometry | easy | Find the area of a triangle with base 2 and height 19. | 19 | Area = 0.5*base*height = 0.5*2*19 = 19. | triangle_area |
7,942 | percentages | easy | What is 26% of 792? | 205.92 | Calculate 26/100 * 792 = 0.26*792 = 205.92. | percentages |
7,943 | number_theory | medium | What is the LCM (least common multiple) of 70 and 30? | 210 | LCM = |70*30| / GCD(70,30). GCD=10, so LCM=2100/10=210. | lcm |
7,944 | fractions | medium | What is 20/4 - 1/15? Give as simplified fraction. | 74/15 | Common denominator 60. Numerator 300-4=296. So 296/60 simplifies to 74/15. | fraction_operations |
7,945 | word_problems | easy | If you have 35 apples and you buy 21 more apples, how many apples do you have in total? | 56 | Add initial 35 plus bought 21: 35+21=56. | addition_word |
7,946 | statistics | easy | What is the mean (average) of 44, 33, 49, 74? | 50 | Mean = sum/count. Sum = 44+33+49+74=200. Count=4. Mean=200/4=50.0. | mean |
7,947 | fractions | medium | What is 12/5 * 1/7? Give as simplified fraction. | 12/35 | Multiply numerators: 12*1=12. Denominators: 5*7=35. Simplify by gcd 1 to get 12/35. | fraction_operations |
7,948 | arithmetic | easy | What is 312 + 49 * 98? Remember order of operations. | 5114 | Order of operations (PEMDAS): first 49*98=4802, then 312+4802=5114. | basic_operations |
7,949 | percentages | easy | What is 25% of 89? | 22.25 | Calculate 25/100 * 89 = 0.25*89 = 22.25. | percentages |
7,950 | 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 |
7,951 | statistics | easy | What is the mean (average) of 75, 2, 29, 44, 98? | 49.6 | Mean = sum/count. Sum = 75+2+29+44+98=248. Count=5. Mean=248/5=49.6. | mean |
7,952 | word_problems | easy | If you have 17 candies and you buy 32 more candies, how many candies do you have in total? | 49 | Add initial 17 plus bought 32: 17+32=49. | addition_word |
7,953 | arithmetic | easy | What is 878 + 498 * 90? Remember order of operations. | 45698 | Order of operations (PEMDAS): first 498*90=44820, then 878+44820=45698. | basic_operations |
7,954 | number_theory | medium | What is the LCM (least common multiple) of 53 and 65? | 3445 | LCM = |53*65| / GCD(53,65). GCD=1, so LCM=3445/1=3445. | lcm |
7,955 | arithmetic | easy | What is 915 + 587 * 39? Remember order of operations. | 23808 | Order of operations (PEMDAS): first 587*39=22893, then 915+22893=23808. | basic_operations |
7,956 | calculus | medium | What is the derivative of 6x^2 with respect to x? | 12x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^2] = 6*2*x^1 = 12x. | derivative |
7,957 | arithmetic | easy | What is 30 * 98? | 2940 | Multiply: 30 * 98 = 2940. | basic_operations |
7,958 | roots | easy | What is the square root of 196? | 14 | Find number that when squared gives 196. 14*14=196, so sqrt(196)=14. | square_roots |
7,959 | percentages | easy | What is 58% of 395? | 229.1 | Calculate 58/100 * 395 = 0.58*395 = 229.1. | percentages |
7,960 | geometry | easy | Find the area of a rectangle with length 97 and width 72. | 6984 | Area = length * width = 97*72 = 6984. | rectangle_area |
7,961 | word_problems | easy | If you have 56 candies and you buy 30 more candies, how many candies do you have in total? | 86 | Add initial 56 plus bought 30: 56+30=86. | addition_word |
7,962 | 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 |
7,963 | arithmetic | easy | What is 10 + 398? | 408 | Add the two numbers: 10 + 398 = 408. | basic_operations |
7,964 | word_problems | easy | If you have 91 books and you buy 41 more books, how many books do you have in total? | 132 | Add initial 91 plus bought 41: 91+41=132. | addition_word |
7,965 | arithmetic | easy | What is 655 + 781 * 61? Remember order of operations. | 48296 | Order of operations (PEMDAS): first 781*61=47641, then 655+47641=48296. | basic_operations |
7,966 | percentages | easy | What is 23% of 271? | 62.33 | Calculate 23/100 * 271 = 0.23*271 = 62.33. | percentages |
7,967 | 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 |
7,968 | word_problems | easy | If you have 47 candies and you buy 49 more candies, how many candies do you have in total? | 96 | Add initial 47 plus bought 49: 47+49=96. | addition_word |
7,969 | geometry | easy | Find the area of a circle with radius 8. Use pi=3.14159, round to 2 decimals. | 201.06 | Area = pi*r^2 = 3.14159*8^2 = 3.14159*64 = 201.06. | circle_area |
7,970 | arithmetic | easy | What is 6 * 76? | 456 | Multiply: 6 * 76 = 456. | basic_operations |
7,971 | word_problems | easy | If you have 97 apples and you buy 14 more apples, how many apples do you have in total? | 111 | Add initial 97 plus bought 14: 97+14=111. | addition_word |
7,972 | arithmetic | easy | What is 397 - 353? | 44 | Subtract: 397 - 353 = 44. | basic_operations |
7,973 | algebra | medium | Solve for x: x^2 + 4x - 45 = 0 | x = 5, -9 | Factor: (x - 5)(x - -9) = x^2 -(-4)x + -45 = 0. So x = 5 or -9. Check sum = -4, product = -45. | quadratic |
7,974 | word_problems | easy | If you have 81 pencils and you buy 50 more pencils, how many pencils do you have in total? | 131 | Add initial 81 plus bought 50: 81+50=131. | addition_word |
7,975 | number_theory | medium | What is the LCM (least common multiple) of 75 and 92? | 6900 | LCM = |75*92| / GCD(75,92). GCD=1, so LCM=6900/1=6900. | lcm |
7,976 | statistics | easy | What is the mean (average) of 16, 14, 14, 7? | 12.75 | Mean = sum/count. Sum = 16+14+14+7=51. Count=4. Mean=51/4=12.75. | mean |
7,977 | statistics | easy | What is the mean (average) of 61, 51, 40, 58, 47? | 51.4 | Mean = sum/count. Sum = 61+51+40+58+47=257. Count=5. Mean=257/5=51.4. | mean |
7,978 | exponents | easy | What is 12^4? | 20736 | 12^4 means multiply 12 by itself 4 times: 12*12*12*12 = 20736. | exponents |
7,979 | 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 |
7,980 | word_problems | easy | If you have 24 pencils and you buy 33 more pencils, how many pencils do you have in total? | 57 | Add initial 24 plus bought 33: 24+33=57. | addition_word |
7,981 | word_problems | easy | If you have 24 candies and you buy 11 more candies, how many candies do you have in total? | 35 | Add initial 24 plus bought 11: 24+11=35. | addition_word |
7,982 | fractions | medium | What is 10/18 * 11/10? Give as simplified fraction. | 11/18 | Multiply numerators: 10*11=110. Denominators: 18*10=180. Simplify by gcd 10 to get 11/18. | fraction_operations |
7,983 | arithmetic | easy | What is 777 + 209? | 986 | Add the two numbers: 777 + 209 = 986. | basic_operations |
7,984 | geometry | easy | Find the circumference of a circle with radius 34. Use pi=3.14159, round to 2 decimals. | 213.63 | Circumference = 2*pi*r = 2*3.14159*34 = 213.63. | circle_circum |
7,985 | number_theory | medium | What is the GCD (greatest common divisor) of 95 and 54? | 1 | Find greatest number dividing both 95 and 54. Divisors common, greatest is 1. | gcd |
7,986 | 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 |
7,987 | algebra | medium | Solve for x: x^2 - 13x + 30 = 0 | x = 10, 3 | Factor: (x - 10)(x - 3) = x^2 -(13)x + 30 = 0. So x = 10 or 3. Check sum = 13, product = 30. | quadratic |
7,988 | arithmetic | easy | What is 532 - 224? | 308 | Subtract: 532 - 224 = 308. | basic_operations |
7,989 | statistics | easy | What is the mean (average) of 80, 99, 57? | 78.67 | Mean = sum/count. Sum = 80+99+57=236. Count=3. Mean=236/3=78.67. | mean |
7,990 | word_problems | easy | If you have 63 pencils and you buy 29 more pencils, how many pencils do you have in total? | 92 | Add initial 63 plus bought 29: 63+29=92. | addition_word |
7,991 | number_theory | medium | What is the GCD (greatest common divisor) of 60 and 6? | 6 | Find greatest number dividing both 60 and 6. Divisors common, greatest is 6. | gcd |
7,992 | 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 |
7,993 | 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 |
7,994 | word_problems | easy | If you have 80 candies and you buy 12 more candies, how many candies do you have in total? | 92 | Add initial 80 plus bought 12: 80+12=92. | addition_word |
7,995 | arithmetic | easy | What is 687 + 805? | 1492 | Add the two numbers: 687 + 805 = 1492. | basic_operations |
7,996 | percentages | easy | What is 46% of 127? | 58.42 | Calculate 46/100 * 127 = 0.46*127 = 58.42. | percentages |
7,997 | algebra | easy | Solve for x: 18x + 26 = 134 | 6 | Subtract 26 from both sides: 18x = 134-26=108. Then divide by 18: x = 108/18 = 6. | linear_equation |
7,998 | algebra | medium | Solve for x: x^2 + 14x + 45 = 0 | x = -5, -9 | Factor: (x - -5)(x - -9) = x^2 -(-14)x + 45 = 0. So x = -5 or -9. Check sum = -14, product = 45. | quadratic |
7,999 | 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 |
8,000 | algebra | medium | Solve for x: x^2 + 5x + 4 = 0 | x = -1, -4 | Factor: (x - -1)(x - -4) = x^2 -(-5)x + 4 = 0. So x = -1 or -4. Check sum = -5, product = 4. | quadratic |
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