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 |
|---|---|---|---|---|---|---|
10,901 | arithmetic | easy | What is 640 + 901? | 1541 | Add the two numbers: 640 + 901 = 1541. | basic_operations |
10,902 | exponents | easy | What is 3^4? | 81 | 3^4 means multiply 3 by itself 4 times: 3*3*3*3 = 81. | exponents |
10,903 | 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 |
10,904 | fractions | medium | What is 15/9 + 2/10? Give as simplified fraction. | 28/15 | Common denominator 9*10=90. 15/9=150/90, 2/10=18/90. Sum = 168/90 = 28/15 simplified. | fraction_operations |
10,905 | word_problems | easy | If you have 58 apples and you buy 14 more apples, how many apples do you have in total? | 72 | Add initial 58 plus bought 14: 58+14=72. | addition_word |
10,906 | 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 |
10,907 | calculus | medium | What is the derivative of 1x^5 with respect to x? | 5x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^5] = 1*5*x^4 = 5x^4. | derivative |
10,908 | statistics | easy | What is the mean (average) of 56, 97, 80? | 77.67 | Mean = sum/count. Sum = 56+97+80=233. Count=3. Mean=233/3=77.67. | mean |
10,909 | geometry | easy | Find the area of a circle with radius 36. Use pi=3.14159, round to 2 decimals. | 4071.5 | Area = pi*r^2 = 3.14159*36^2 = 3.14159*1296 = 4071.5. | circle_area |
10,910 | arithmetic | easy | What is 13824 / 36? | 384 | Divide: 13824 ÷ 36 = 384 because 36*384=13824. | division |
10,911 | arithmetic | easy | What is 765 + 61 * 94? Remember order of operations. | 6499 | Order of operations (PEMDAS): first 61*94=5734, then 765+5734=6499. | basic_operations |
10,912 | word_problems | easy | If you have 52 apples and you buy 27 more apples, how many apples do you have in total? | 79 | Add initial 52 plus bought 27: 52+27=79. | addition_word |
10,913 | algebra | easy | Solve for x: 8x + 49 = -55 | -13 | Subtract 49 from both sides: 8x = -55-49=-104. Then divide by 8: x = -104/8 = -13. | linear_equation |
10,914 | arithmetic | easy | What is 745 + 433? | 1178 | Add the two numbers: 745 + 433 = 1178. | basic_operations |
10,915 | statistics | easy | What is the mean (average) of 75, 53, 68? | 65.33 | Mean = sum/count. Sum = 75+53+68=196. Count=3. Mean=196/3=65.33. | mean |
10,916 | algebra | medium | Solve for x: x^2 - 2x - 35 = 0 | x = -5, 7 | Factor: (x - -5)(x - 7) = x^2 -(2)x + -35 = 0. So x = -5 or 7. Check sum = 2, product = -35. | quadratic |
10,917 | roots | easy | What is the square root of 2304? | 48 | Find number that when squared gives 2304. 48*48=2304, so sqrt(2304)=48. | square_roots |
10,918 | exponents | easy | What is 4^5? | 1024 | 4^5 means multiply 4 by itself 5 times: 4*4*4*4*4 = 1024. | exponents |
10,919 | fractions | medium | What is 9/10 * 19/17? Give as simplified fraction. | 171/170 | Multiply numerators: 9*19=171. Denominators: 10*17=170. Simplify by gcd 1 to get 171/170. | fraction_operations |
10,920 | algebra | easy | Solve for x: 12x - 36 = 180 | 18 | Add 36 to both sides: 12x = 180+36=216. Then x = 216/12 = 18. | linear_equation |
10,921 | statistics | easy | What is the mean (average) of 25, 53, 53, 81, 42? | 50.8 | Mean = sum/count. Sum = 25+53+53+81+42=254. Count=5. Mean=254/5=50.8. | mean |
10,922 | geometry | easy | Find the circumference of a circle with radius 47. Use pi=3.14159, round to 2 decimals. | 295.31 | Circumference = 2*pi*r = 2*3.14159*47 = 295.31. | circle_circum |
10,923 | number_theory | medium | What is the GCD (greatest common divisor) of 66 and 60? | 6 | Find greatest number dividing both 66 and 60. Divisors common, greatest is 6. | gcd |
10,924 | statistics | easy | What is the mean (average) of 8, 90, 42? | 46.67 | Mean = sum/count. Sum = 8+90+42=140. Count=3. Mean=140/3=46.67. | mean |
10,925 | fractions | medium | What is 19/6 + 12/20? Give as simplified fraction. | 113/30 | Common denominator 6*20=120. 19/6=380/120, 12/20=72/120. Sum = 452/120 = 113/30 simplified. | fraction_operations |
10,926 | 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 |
10,927 | statistics | easy | What is the mean (average) of 16, 72, 42, 25? | 38.75 | Mean = sum/count. Sum = 16+72+42+25=155. Count=4. Mean=155/4=38.75. | mean |
10,928 | 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 |
10,929 | statistics | easy | What is the mean (average) of 29, 90, 3, 33? | 38.75 | Mean = sum/count. Sum = 29+90+3+33=155. Count=4. Mean=155/4=38.75. | mean |
10,930 | arithmetic | easy | What is 987 - 947? | 40 | Subtract: 987 - 947 = 40. | basic_operations |
10,931 | arithmetic | easy | What is 48 + 301? | 349 | Add the two numbers: 48 + 301 = 349. | basic_operations |
10,932 | 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 |
10,933 | calculus | medium | What is the derivative of 8x^8 with respect to x? | 64x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^8] = 8*8*x^7 = 64x^7. | derivative |
10,934 | word_problems | easy | If you have 50 candies and you buy 10 more candies, how many candies do you have in total? | 60 | Add initial 50 plus bought 10: 50+10=60. | addition_word |
10,935 | arithmetic | easy | What is 449 - 114? | 335 | Subtract: 449 - 114 = 335. | basic_operations |
10,936 | word_problems | easy | If you have 18 candies and you buy 29 more candies, how many candies do you have in total? | 47 | Add initial 18 plus bought 29: 18+29=47. | addition_word |
10,937 | fractions | medium | What is 11/2 + 14/11? Give as simplified fraction. | 149/22 | Common denominator 2*11=22. 11/2=121/22, 14/11=28/22. Sum = 149/22 = 149/22 simplified. | fraction_operations |
10,938 | word_problems | easy | If you have 25 pencils and you buy 37 more pencils, how many pencils do you have in total? | 62 | Add initial 25 plus bought 37: 25+37=62. | addition_word |
10,939 | arithmetic | easy | What is 71 + 81 * 27? Remember order of operations. | 2258 | Order of operations (PEMDAS): first 81*27=2187, then 71+2187=2258. | basic_operations |
10,940 | 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 |
10,941 | calculus | medium | What is the derivative of 3x^3 with respect to x? | 9x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^3] = 3*3*x^2 = 9x^2. | derivative |
10,942 | word_problems | easy | If you have 9 dollars and you buy 10 more dollars, how many dollars do you have in total? | 19 | Add initial 9 plus bought 10: 9+10=19. | addition_word |
10,943 | exponents | easy | What is 5^2? | 25 | 5^2 means multiply 5 by itself 2 times: 5*5 = 25. | exponents |
10,944 | calculus | medium | What is the derivative of 4x^7 with respect to x? | 28x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^7] = 4*7*x^6 = 28x^6. | derivative |
10,945 | arithmetic | easy | What is 523 + 327 * 40? Remember order of operations. | 13603 | Order of operations (PEMDAS): first 327*40=13080, then 523+13080=13603. | basic_operations |
10,946 | statistics | easy | What is the mean (average) of 43, 54, 7? | 34.67 | Mean = sum/count. Sum = 43+54+7=104. Count=3. Mean=104/3=34.67. | mean |
10,947 | exponents | easy | What is 8^5? | 32768 | 8^5 means multiply 8 by itself 5 times: 8*8*8*8*8 = 32768. | exponents |
10,948 | algebra | medium | Solve for x: x^2 - 1x - 90 = 0 | x = 10, -9 | Factor: (x - 10)(x - -9) = x^2 -(1)x + -90 = 0. So x = 10 or -9. Check sum = 1, product = -90. | quadratic |
10,949 | fractions | medium | What is 14/2 - 13/5? Give as simplified fraction. | 22/5 | Common denominator 10. Numerator 70-26=44. So 44/10 simplifies to 22/5. | fraction_operations |
10,950 | number_theory | medium | What is the GCD (greatest common divisor) of 5 and 85? | 5 | Find greatest number dividing both 5 and 85. Divisors common, greatest is 5. | gcd |
10,951 | 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 |
10,952 | geometry | easy | Find the area of a rectangle with length 90 and width 80. | 7200 | Area = length * width = 90*80 = 7200. | rectangle_area |
10,953 | statistics | easy | What is the mean (average) of 12, 18, 20? | 16.67 | Mean = sum/count. Sum = 12+18+20=50. Count=3. Mean=50/3=16.67. | mean |
10,954 | arithmetic | easy | What is 836 - 834? | 2 | Subtract: 836 - 834 = 2. | basic_operations |
10,955 | 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 |
10,956 | roots | easy | What is the square root of 361? | 19 | Find number that when squared gives 361. 19*19=361, so sqrt(361)=19. | square_roots |
10,957 | arithmetic | easy | What is 23 + 36 * 95? Remember order of operations. | 3443 | Order of operations (PEMDAS): first 36*95=3420, then 23+3420=3443. | basic_operations |
10,958 | arithmetic | easy | What is 39780 / 90? | 442 | Divide: 39780 ÷ 90 = 442 because 90*442=39780. | division |
10,959 | percentages | easy | What is 43% of 230? | 98.9 | Calculate 43/100 * 230 = 0.43*230 = 98.9. | percentages |
10,960 | algebra | medium | Solve for x: x^2 - 9x + 18 = 0 | x = 6, 3 | Factor: (x - 6)(x - 3) = x^2 -(9)x + 18 = 0. So x = 6 or 3. Check sum = 9, product = 18. | quadratic |
10,961 | arithmetic | easy | What is 478 + 564? | 1042 | Add the two numbers: 478 + 564 = 1042. | basic_operations |
10,962 | arithmetic | easy | What is 246 + 1000? | 1246 | Add the two numbers: 246 + 1000 = 1246. | basic_operations |
10,963 | word_problems | easy | If you have 33 apples and you buy 12 more apples, how many apples do you have in total? | 45 | Add initial 33 plus bought 12: 33+12=45. | addition_word |
10,964 | percentages | easy | What is 49% of 795? | 389.55 | Calculate 49/100 * 795 = 0.49*795 = 389.55. | percentages |
10,965 | word_problems | easy | If you have 76 pencils and you buy 49 more pencils, how many pencils do you have in total? | 125 | Add initial 76 plus bought 49: 76+49=125. | addition_word |
10,966 | calculus | medium | What is the derivative of 6x^4 with respect to x? | 24x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^4] = 6*4*x^3 = 24x^3. | derivative |
10,967 | 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 |
10,968 | algebra | easy | Solve for x: 14x - 36 = -36 | 0 | Add 36 to both sides: 14x = -36+36=0. Then x = 0/14 = 0. | linear_equation |
10,969 | arithmetic | easy | What is 1130 / 5? | 226 | Divide: 1130 ÷ 5 = 226 because 5*226=1130. | division |
10,970 | number_theory | medium | What is the LCM (least common multiple) of 64 and 2? | 64 | LCM = |64*2| / GCD(64,2). GCD=2, so LCM=128/2=64. | lcm |
10,971 | algebra | medium | Solve for x: x^2 - 10x + 9 = 0 | x = 9, 1 | Factor: (x - 9)(x - 1) = x^2 -(10)x + 9 = 0. So x = 9 or 1. Check sum = 10, product = 9. | quadratic |
10,972 | arithmetic | easy | What is 576 - 409? | 167 | Subtract: 576 - 409 = 167. | basic_operations |
10,973 | geometry | easy | Find the area of a circle with radius 6. Use pi=3.14159, round to 2 decimals. | 113.1 | Area = pi*r^2 = 3.14159*6^2 = 3.14159*36 = 113.1. | circle_area |
10,974 | algebra | easy | Solve for x: 7x - 7 = 112 | 17 | Add 7 to both sides: 7x = 112+7=119. Then x = 119/7 = 17. | linear_equation |
10,975 | 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 |
10,976 | algebra | medium | Solve for x: x^2 - 7x = 0 | x = 0, 7 | Factor: (x - 0)(x - 7) = x^2 -(7)x + 0 = 0. So x = 0 or 7. Check sum = 7, product = 0. | quadratic |
10,977 | calculus | medium | What is the derivative of 3x^6 with respect to x? | 18x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^6] = 3*6*x^5 = 18x^5. | derivative |
10,978 | 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 |
10,979 | 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 |
10,980 | arithmetic | easy | What is 664 - 393? | 271 | Subtract: 664 - 393 = 271. | basic_operations |
10,981 | arithmetic | easy | What is 97 * 58? | 5626 | Multiply: 97 * 58 = 5626. | basic_operations |
10,982 | number_theory | medium | What is the GCD (greatest common divisor) of 10 and 75? | 5 | Find greatest number dividing both 10 and 75. Divisors common, greatest is 5. | gcd |
10,983 | statistics | easy | What is the mean (average) of 33, 76, 43, 28, 9? | 37.8 | Mean = sum/count. Sum = 33+76+43+28+9=189. Count=5. Mean=189/5=37.8. | mean |
10,984 | 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 |
10,985 | 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 |
10,986 | arithmetic | easy | What is 686 - 68? | 618 | Subtract: 686 - 68 = 618. | basic_operations |
10,987 | algebra | medium | Solve for x: x^2 + 11x + 28 = 0 | x = -7, -4 | Factor: (x - -7)(x - -4) = x^2 -(-11)x + 28 = 0. So x = -7 or -4. Check sum = -11, product = 28. | quadratic |
10,988 | geometry | easy | Find the circumference of a circle with radius 49. Use pi=3.14159, round to 2 decimals. | 307.88 | Circumference = 2*pi*r = 2*3.14159*49 = 307.88. | circle_circum |
10,989 | arithmetic | easy | What is 407 + 284 * 88? Remember order of operations. | 25399 | Order of operations (PEMDAS): first 284*88=24992, then 407+24992=25399. | basic_operations |
10,990 | algebra | easy | Solve for x: 14x + 48 = 62 | 1 | Subtract 48 from both sides: 14x = 62-48=14. Then divide by 14: x = 14/14 = 1. | linear_equation |
10,991 | percentages | easy | What is 20% of 832? | 166.4 | Calculate 20/100 * 832 = 0.2*832 = 166.4. | percentages |
10,992 | algebra | easy | Solve for x: 5x + 36 = 16 | -4 | Subtract 36 from both sides: 5x = 16-36=-20. Then divide by 5: x = -20/5 = -4. | linear_equation |
10,993 | word_problems | easy | If you have 10 pencils and you buy 48 more pencils, how many pencils do you have in total? | 58 | Add initial 10 plus bought 48: 10+48=58. | addition_word |
10,994 | arithmetic | easy | What is 110 / 2? | 55 | Divide: 110 ÷ 2 = 55 because 2*55=110. | division |
10,995 | algebra | medium | Solve for x: x^2 - 12x + 32 = 0 | x = 8, 4 | Factor: (x - 8)(x - 4) = x^2 -(12)x + 32 = 0. So x = 8 or 4. Check sum = 12, product = 32. | quadratic |
10,996 | arithmetic | easy | What is 631 + 572 * 69? Remember order of operations. | 40099 | Order of operations (PEMDAS): first 572*69=39468, then 631+39468=40099. | basic_operations |
10,997 | geometry | easy | Find the perimeter of a rectangle with length 58 and width 99. | 314 | Perimeter = 2*(length+width) = 2*(58+99) = 2*157 = 314. | rectangle_perim |
10,998 | exponents | easy | What is 10^2? | 100 | 10^2 means multiply 10 by itself 2 times: 10*10 = 100. | exponents |
10,999 | algebra | easy | Solve for x: 13x + 15 = -154 | -13 | Subtract 15 from both sides: 13x = -154-15=-169. Then divide by 13: x = -169/13 = -13. | linear_equation |
11,000 | statistics | easy | What is the mean (average) of 32, 2, 94, 2, 67? | 39.4 | Mean = sum/count. Sum = 32+2+94+2+67=197. Count=5. Mean=197/5=39.4. | mean |
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