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 |
|---|---|---|---|---|---|---|
732,901 | arithmetic | easy | What is 65 * 44? | 2860 | Multiply: 65 * 44 = 2860. | basic_operations |
732,902 | statistics | easy | What is the mean (average) of 46, 16, 23, 81, 67? | 46.6 | Mean = sum/count. Sum = 46+16+23+81+67=233. Count=5. Mean=233/5=46.6. | mean |
732,903 | exponents | easy | What is 2^2? | 4 | 2^2 means multiply 2 by itself 2 times: 2*2 = 4. | exponents |
732,904 | algebra | easy | Solve for x: 19x + 43 = 328 | 15 | Subtract 43 from both sides: 19x = 328-43=285. Then divide by 19: x = 285/19 = 15. | linear_equation |
732,905 | arithmetic | easy | What is 18384 / 48? | 383 | Divide: 18384 ÷ 48 = 383 because 48*383=18384. | division |
732,906 | geometry | easy | Find the area of a triangle with base 71 and height 82. | 2911 | Area = 0.5*base*height = 0.5*71*82 = 2911. | triangle_area |
732,907 | algebra | easy | Solve for x: 8x + 45 = 21 | -3 | Subtract 45 from both sides: 8x = 21-45=-24. Then divide by 8: x = -24/8 = -3. | linear_equation |
732,908 | algebra | easy | Solve for x: 12x + 3 = -33 | -3 | Subtract 3 from both sides: 12x = -33-3=-36. Then divide by 12: x = -36/12 = -3. | linear_equation |
732,909 | geometry | easy | Find the circumference of a circle with radius 11. Use pi=3.14159, round to 2 decimals. | 69.12 | Circumference = 2*pi*r = 2*3.14159*11 = 69.12. | circle_circum |
732,910 | exponents | easy | What is 4^4? | 256 | 4^4 means multiply 4 by itself 4 times: 4*4*4*4 = 256. | exponents |
732,911 | arithmetic | easy | What is 480 + 489? | 969 | Add the two numbers: 480 + 489 = 969. | basic_operations |
732,912 | fractions | medium | What is 20/9 + 6/3? Give as simplified fraction. | 38/9 | Common denominator 9*3=27. 20/9=60/27, 6/3=54/27. Sum = 114/27 = 38/9 simplified. | fraction_operations |
732,913 | arithmetic | easy | What is 29 + 34 * 70? Remember order of operations. | 2409 | Order of operations (PEMDAS): first 34*70=2380, then 29+2380=2409. | basic_operations |
732,914 | exponents | easy | What is 9^5? | 59049 | 9^5 means multiply 9 by itself 5 times: 9*9*9*9*9 = 59049. | exponents |
732,915 | calculus | medium | What is the derivative of 4x^3 with respect to x? | 12x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^3] = 4*3*x^2 = 12x^2. | derivative |
732,916 | calculus | medium | What is the derivative of 9x^6 with respect to x? | 54x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^6] = 9*6*x^5 = 54x^5. | derivative |
732,917 | algebra | medium | Solve for x: x^2 - 9x = 0 | x = 9, 0 | Factor: (x - 9)(x - 0) = x^2 -(9)x + 0 = 0. So x = 9 or 0. Check sum = 9, product = 0. | quadratic |
732,918 | statistics | easy | What is the mean (average) of 73, 31, 8? | 37.33 | Mean = sum/count. Sum = 73+31+8=112. Count=3. Mean=112/3=37.33. | mean |
732,919 | algebra | easy | Solve for x: 9x + 15 = 96 | 9 | Subtract 15 from both sides: 9x = 96-15=81. Then divide by 9: x = 81/9 = 9. | linear_equation |
732,920 | geometry | easy | Find the area of a rectangle with length 100 and width 31. | 3100 | Area = length * width = 100*31 = 3100. | rectangle_area |
732,921 | word_problems | easy | If you have 73 candies and you buy 39 more candies, how many candies do you have in total? | 112 | Add initial 73 plus bought 39: 73+39=112. | addition_word |
732,922 | number_theory | medium | What is the GCD (greatest common divisor) of 22 and 59? | 1 | Find greatest number dividing both 22 and 59. Divisors common, greatest is 1. | gcd |
732,923 | percentages | easy | What is 95% of 767? | 728.65 | Calculate 95/100 * 767 = 0.95*767 = 728.65. | percentages |
732,924 | statistics | easy | What is the mean (average) of 88, 85, 6, 28? | 51.75 | Mean = sum/count. Sum = 88+85+6+28=207. Count=4. Mean=207/4=51.75. | mean |
732,925 | exponents | easy | What is 10^2? | 100 | 10^2 means multiply 10 by itself 2 times: 10*10 = 100. | exponents |
732,926 | statistics | easy | What is the mean (average) of 24, 96, 91, 7, 88? | 61.2 | Mean = sum/count. Sum = 24+96+91+7+88=306. Count=5. Mean=306/5=61.2. | mean |
732,927 | 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 |
732,928 | calculus | medium | What is the derivative of 8x^5 with respect to x? | 40x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^5] = 8*5*x^4 = 40x^4. | derivative |
732,929 | arithmetic | easy | What is 499 - 324? | 175 | Subtract: 499 - 324 = 175. | basic_operations |
732,930 | arithmetic | easy | What is 73 + 17 * 3? Remember order of operations. | 124 | Order of operations (PEMDAS): first 17*3=51, then 73+51=124. | basic_operations |
732,931 | arithmetic | easy | What is 681 + 757? | 1438 | Add the two numbers: 681 + 757 = 1438. | basic_operations |
732,932 | geometry | easy | Find the perimeter of a rectangle with length 98 and width 7. | 210 | Perimeter = 2*(length+width) = 2*(98+7) = 2*105 = 210. | rectangle_perim |
732,933 | calculus | medium | What is the derivative of 9x^4 with respect to x? | 36x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^4] = 9*4*x^3 = 36x^3. | derivative |
732,934 | 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 |
732,935 | arithmetic | easy | What is 989 - 315? | 674 | Subtract: 989 - 315 = 674. | basic_operations |
732,936 | fractions | medium | What is 20/4 * 10/9? Give as simplified fraction. | 50/9 | Multiply numerators: 20*10=200. Denominators: 4*9=36. Simplify by gcd 4 to get 50/9. | fraction_operations |
732,937 | roots | easy | What is the square root of 2025? | 45 | Find number that when squared gives 2025. 45*45=2025, so sqrt(2025)=45. | square_roots |
732,938 | percentages | easy | What is 70% of 297? | 207.9 | Calculate 70/100 * 297 = 0.7*297 = 207.9. | percentages |
732,939 | exponents | easy | What is 6^4? | 1296 | 6^4 means multiply 6 by itself 4 times: 6*6*6*6 = 1296. | exponents |
732,940 | 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 |
732,941 | arithmetic | easy | What is 389 + 477? | 866 | Add the two numbers: 389 + 477 = 866. | basic_operations |
732,942 | number_theory | medium | What is the GCD (greatest common divisor) of 35 and 90? | 5 | Find greatest number dividing both 35 and 90. Divisors common, greatest is 5. | gcd |
732,943 | calculus | medium | What is the derivative of 2x^3 with respect to x? | 6x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^3] = 2*3*x^2 = 6x^2. | derivative |
732,944 | word_problems | easy | If you have 21 candies and you buy 24 more candies, how many candies do you have in total? | 45 | Add initial 21 plus bought 24: 21+24=45. | addition_word |
732,945 | algebra | easy | Solve for x: 3x - 42 = -30 | 4 | Add 42 to both sides: 3x = -30+42=12. Then x = 12/3 = 4. | linear_equation |
732,946 | fractions | medium | What is 6/11 * 20/4? Give as simplified fraction. | 30/11 | Multiply numerators: 6*20=120. Denominators: 11*4=44. Simplify by gcd 4 to get 30/11. | fraction_operations |
732,947 | exponents | easy | What is 11^2? | 121 | 11^2 means multiply 11 by itself 2 times: 11*11 = 121. | exponents |
732,948 | 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 |
732,949 | roots | easy | What is the square root of 2209? | 47 | Find number that when squared gives 2209. 47*47=2209, so sqrt(2209)=47. | square_roots |
732,950 | 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 |
732,951 | geometry | easy | Find the area of a triangle with base 20 and height 46. | 460 | Area = 0.5*base*height = 0.5*20*46 = 460. | triangle_area |
732,952 | 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 |
732,953 | algebra | medium | Solve for x: x^2 - 6x + 8 = 0 | x = 2, 4 | Factor: (x - 2)(x - 4) = x^2 -(6)x + 8 = 0. So x = 2 or 4. Check sum = 6, product = 8. | quadratic |
732,954 | percentages | easy | What is 69% of 770? | 531.3 | Calculate 69/100 * 770 = 0.69*770 = 531.3. | percentages |
732,955 | arithmetic | easy | What is 49 * 44? | 2156 | Multiply: 49 * 44 = 2156. | basic_operations |
732,956 | 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 |
732,957 | exponents | easy | What is 10^4? | 10000 | 10^4 means multiply 10 by itself 4 times: 10*10*10*10 = 10000. | exponents |
732,958 | algebra | medium | Solve for x: x^2 - 7x - 18 = 0 | x = -2, 9 | Factor: (x - -2)(x - 9) = x^2 -(7)x + -18 = 0. So x = -2 or 9. Check sum = 7, product = -18. | quadratic |
732,959 | algebra | medium | Solve for x: x^2 - 5x - 14 = 0 | x = 7, -2 | Factor: (x - 7)(x - -2) = x^2 -(5)x + -14 = 0. So x = 7 or -2. Check sum = 5, product = -14. | quadratic |
732,960 | algebra | easy | Solve for x: 13x + 47 = 242 | 15 | Subtract 47 from both sides: 13x = 242-47=195. Then divide by 13: x = 195/13 = 15. | linear_equation |
732,961 | algebra | medium | Solve for x: x^2 + 11x + 18 = 0 | x = -9, -2 | Factor: (x - -9)(x - -2) = x^2 -(-11)x + 18 = 0. So x = -9 or -2. Check sum = -11, product = 18. | quadratic |
732,962 | word_problems | easy | If you have 78 apples and you buy 22 more apples, how many apples do you have in total? | 100 | Add initial 78 plus bought 22: 78+22=100. | addition_word |
732,963 | algebra | easy | Solve for x: 4x + 17 = -7 | -6 | Subtract 17 from both sides: 4x = -7-17=-24. Then divide by 4: x = -24/4 = -6. | linear_equation |
732,964 | arithmetic | easy | What is 486 + 28 * 4? Remember order of operations. | 598 | Order of operations (PEMDAS): first 28*4=112, then 486+112=598. | basic_operations |
732,965 | roots | easy | What is the square root of 2116? | 46 | Find number that when squared gives 2116. 46*46=2116, so sqrt(2116)=46. | square_roots |
732,966 | arithmetic | easy | What is 918 - 608? | 310 | Subtract: 918 - 608 = 310. | basic_operations |
732,967 | number_theory | medium | What is the GCD (greatest common divisor) of 31 and 10? | 1 | Find greatest number dividing both 31 and 10. Divisors common, greatest is 1. | gcd |
732,968 | percentages | easy | What is 82% of 232? | 190.24 | Calculate 82/100 * 232 = 0.82*232 = 190.24. | percentages |
732,969 | number_theory | medium | What is the GCD (greatest common divisor) of 5 and 96? | 1 | Find greatest number dividing both 5 and 96. Divisors common, greatest is 1. | gcd |
732,970 | geometry | easy | Find the area of a rectangle with length 100 and width 31. | 3100 | Area = length * width = 100*31 = 3100. | rectangle_area |
732,971 | geometry | easy | Find the area of a rectangle with length 89 and width 28. | 2492 | Area = length * width = 89*28 = 2492. | rectangle_area |
732,972 | algebra | easy | Solve for x: 15x - 15 = -90 | -5 | Add 15 to both sides: 15x = -90+15=-75. Then x = -75/15 = -5. | linear_equation |
732,973 | algebra | medium | Solve for x: x^2 - 14x + 49 = 0 | x = 7 | Factor as (x - 7)^2 = 0, so root is 7 (double root). Sum of roots = 14, product = 49. | quadratic |
732,974 | word_problems | easy | If you have 65 dollars and you buy 44 more dollars, how many dollars do you have in total? | 109 | Add initial 65 plus bought 44: 65+44=109. | addition_word |
732,975 | percentages | easy | What is 65% of 246? | 159.9 | Calculate 65/100 * 246 = 0.65*246 = 159.9. | percentages |
732,976 | word_problems | easy | If you have 50 dollars and you buy 9 more dollars, how many dollars do you have in total? | 59 | Add initial 50 plus bought 9: 50+9=59. | addition_word |
732,977 | 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 |
732,978 | 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 |
732,979 | word_problems | easy | If you have 52 candies and you buy 25 more candies, how many candies do you have in total? | 77 | Add initial 52 plus bought 25: 52+25=77. | addition_word |
732,980 | exponents | easy | What is 5^5? | 3125 | 5^5 means multiply 5 by itself 5 times: 5*5*5*5*5 = 3125. | exponents |
732,981 | arithmetic | easy | What is 814 - 383? | 431 | Subtract: 814 - 383 = 431. | basic_operations |
732,982 | calculus | medium | What is the derivative of 8x^6 with respect to x? | 48x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^6] = 8*6*x^5 = 48x^5. | derivative |
732,983 | arithmetic | easy | What is 209 + 4? | 213 | Add the two numbers: 209 + 4 = 213. | basic_operations |
732,984 | calculus | medium | What is the derivative of 4x^6 with respect to x? | 24x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^6] = 4*6*x^5 = 24x^5. | derivative |
732,985 | arithmetic | easy | What is 808 - 349? | 459 | Subtract: 808 - 349 = 459. | basic_operations |
732,986 | 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 |
732,987 | arithmetic | easy | What is 817 + 635 * 58? Remember order of operations. | 37647 | Order of operations (PEMDAS): first 635*58=36830, then 817+36830=37647. | basic_operations |
732,988 | algebra | medium | Solve for x: x^2 - 36 = 0 | x = -6, 6 | Factor: (x - -6)(x - 6) = x^2 -(0)x + -36 = 0. So x = -6 or 6. Check sum = 0, product = -36. | quadratic |
732,989 | algebra | medium | Solve for x: x^2 + 1x - 42 = 0 | x = -7, 6 | Factor: (x - -7)(x - 6) = x^2 -(-1)x + -42 = 0. So x = -7 or 6. Check sum = -1, product = -42. | quadratic |
732,990 | geometry | easy | Find the area of a circle with radius 38. Use pi=3.14159, round to 2 decimals. | 4536.46 | Area = pi*r^2 = 3.14159*38^2 = 3.14159*1444 = 4536.46. | circle_area |
732,991 | algebra | medium | Solve for x: x^2 + 9x + 14 = 0 | x = -7, -2 | Factor: (x - -7)(x - -2) = x^2 -(-9)x + 14 = 0. So x = -7 or -2. Check sum = -9, product = 14. | quadratic |
732,992 | 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 |
732,993 | percentages | easy | What is 65% of 932? | 605.8 | Calculate 65/100 * 932 = 0.65*932 = 605.8. | percentages |
732,994 | algebra | easy | Solve for x: 4x - 7 = -31 | -6 | Add 7 to both sides: 4x = -31+7=-24. Then x = -24/4 = -6. | linear_equation |
732,995 | arithmetic | easy | What is 43 + 8 * 33? Remember order of operations. | 307 | Order of operations (PEMDAS): first 8*33=264, then 43+264=307. | basic_operations |
732,996 | 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 |
732,997 | percentages | easy | What is 39% of 776? | 302.64 | Calculate 39/100 * 776 = 0.39*776 = 302.64. | percentages |
732,998 | arithmetic | easy | What is 925 - 869? | 56 | Subtract: 925 - 869 = 56. | basic_operations |
732,999 | 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 |
733,000 | arithmetic | easy | What is 11160 / 72? | 155 | Divide: 11160 ÷ 72 = 155 because 72*155=11160. | division |
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