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 |
|---|---|---|---|---|---|---|
730,801 | arithmetic | easy | What is 3930 divided by 60? Give answer to 2 decimal places. | 65.5 | Calculate 3930/ 60 = 65.5000, rounded to 2 decimals is 65.5. | division |
730,802 | word_problems | easy | If you have 35 apples and you buy 48 more apples, how many apples do you have in total? | 83 | Add initial 35 plus bought 48: 35+48=83. | addition_word |
730,803 | 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 |
730,804 | arithmetic | easy | What is 19732 divided by 61? Give answer to 2 decimal places. | 323.48 | Calculate 19732/ 61 = 323.4754, rounded to 2 decimals is 323.48. | division |
730,805 | 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 |
730,806 | geometry | easy | Find the circumference of a circle with radius 33. Use pi=3.14159, round to 2 decimals. | 207.35 | Circumference = 2*pi*r = 2*3.14159*33 = 207.35. | circle_circum |
730,807 | 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 |
730,808 | geometry | easy | Find the area of a rectangle with length 21 and width 64. | 1344 | Area = length * width = 21*64 = 1344. | rectangle_area |
730,809 | arithmetic | easy | What is 742 - 318? | 424 | Subtract: 742 - 318 = 424. | basic_operations |
730,810 | number_theory | medium | What is the GCD (greatest common divisor) of 31 and 41? | 1 | Find greatest number dividing both 31 and 41. Divisors common, greatest is 1. | gcd |
730,811 | word_problems | easy | If you have 79 books and you buy 49 more books, how many books do you have in total? | 128 | Add initial 79 plus bought 49: 79+49=128. | addition_word |
730,812 | roots | easy | What is the square root of 64? | 8 | Find number that when squared gives 64. 8*8=64, so sqrt(64)=8. | square_roots |
730,813 | roots | easy | What is the square root of 1? | 1 | Find number that when squared gives 1. 1*1=1, so sqrt(1)=1. | square_roots |
730,814 | exponents | easy | What is 9^5? | 59049 | 9^5 means multiply 9 by itself 5 times: 9*9*9*9*9 = 59049. | exponents |
730,815 | number_theory | medium | What is the LCM (least common multiple) of 38 and 51? | 1938 | LCM = |38*51| / GCD(38,51). GCD=1, so LCM=1938/1=1938. | lcm |
730,816 | number_theory | medium | What is the GCD (greatest common divisor) of 67 and 37? | 1 | Find greatest number dividing both 67 and 37. Divisors common, greatest is 1. | gcd |
730,817 | statistics | easy | What is the mean (average) of 3, 9, 54, 40? | 26.5 | Mean = sum/count. Sum = 3+9+54+40=106. Count=4. Mean=106/4=26.5. | mean |
730,818 | fractions | medium | What is 2/4 - 18/2? Give as simplified fraction. | -17/2 | Common denominator 8. Numerator 4-72=-68. So -68/8 simplifies to -17/2. | fraction_operations |
730,819 | algebra | easy | Solve for x: 9x + 15 = -120 | -15 | Subtract 15 from both sides: 9x = -120-15=-135. Then divide by 9: x = -135/9 = -15. | linear_equation |
730,820 | arithmetic | easy | What is 822 - 736? | 86 | Subtract: 822 - 736 = 86. | basic_operations |
730,821 | word_problems | easy | If you have 40 candies and you buy 11 more candies, how many candies do you have in total? | 51 | Add initial 40 plus bought 11: 40+11=51. | addition_word |
730,822 | 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 |
730,823 | 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 |
730,824 | calculus | medium | What is the derivative of 6x^5 with respect to x? | 30x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^5] = 6*5*x^4 = 30x^4. | derivative |
730,825 | geometry | easy | Find the perimeter of a rectangle with length 33 and width 79. | 224 | Perimeter = 2*(length+width) = 2*(33+79) = 2*112 = 224. | rectangle_perim |
730,826 | number_theory | medium | What is the LCM (least common multiple) of 44 and 23? | 1012 | LCM = |44*23| / GCD(44,23). GCD=1, so LCM=1012/1=1012. | lcm |
730,827 | arithmetic | easy | What is 766 + 226? | 992 | Add the two numbers: 766 + 226 = 992. | basic_operations |
730,828 | exponents | easy | What is 3^3? | 27 | 3^3 means multiply 3 by itself 3 times: 3*3*3 = 27. | exponents |
730,829 | statistics | easy | What is the mean (average) of 85, 76, 77? | 79.33 | Mean = sum/count. Sum = 85+76+77=238. Count=3. Mean=238/3=79.33. | mean |
730,830 | arithmetic | easy | What is 3702 divided by 19? Give answer to 2 decimal places. | 194.84 | Calculate 3702/ 19 = 194.8421, rounded to 2 decimals is 194.84. | division |
730,831 | calculus | medium | What is the derivative of 1x^3 with respect to x? | 3x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^3] = 1*3*x^2 = 3x^2. | derivative |
730,832 | arithmetic | easy | What is 677 - 202? | 475 | Subtract: 677 - 202 = 475. | basic_operations |
730,833 | 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 |
730,834 | arithmetic | easy | What is 371 + 350 * 21? Remember order of operations. | 7721 | Order of operations (PEMDAS): first 350*21=7350, then 371+7350=7721. | basic_operations |
730,835 | geometry | easy | Find the perimeter of a rectangle with length 81 and width 19. | 200 | Perimeter = 2*(length+width) = 2*(81+19) = 2*100 = 200. | rectangle_perim |
730,836 | arithmetic | easy | What is 925 + 586? | 1511 | Add the two numbers: 925 + 586 = 1511. | basic_operations |
730,837 | percentages | easy | What is 37% of 598? | 221.26 | Calculate 37/100 * 598 = 0.37*598 = 221.26. | percentages |
730,838 | arithmetic | easy | What is 947 + 88 * 18? Remember order of operations. | 2531 | Order of operations (PEMDAS): first 88*18=1584, then 947+1584=2531. | basic_operations |
730,839 | algebra | medium | Solve for x: x^2 + 2x - 63 = 0 | x = 7, -9 | Factor: (x - 7)(x - -9) = x^2 -(-2)x + -63 = 0. So x = 7 or -9. Check sum = -2, product = -63. | quadratic |
730,840 | geometry | easy | Find the area of a triangle with base 91 and height 30. | 1365 | Area = 0.5*base*height = 0.5*91*30 = 1365. | triangle_area |
730,841 | 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 |
730,842 | algebra | easy | Solve for x: 1x - 2 = -1 | 1 | Add 2 to both sides: 1x = -1+2=1. Then x = 1/1 = 1. | linear_equation |
730,843 | algebra | medium | Solve for x: x^2 - 12x + 35 = 0 | x = 5, 7 | Factor: (x - 5)(x - 7) = x^2 -(12)x + 35 = 0. So x = 5 or 7. Check sum = 12, product = 35. | quadratic |
730,844 | word_problems | easy | If you have 34 books and you buy 3 more books, how many books do you have in total? | 37 | Add initial 34 plus bought 3: 34+3=37. | addition_word |
730,845 | arithmetic | easy | What is 541 - 52? | 489 | Subtract: 541 - 52 = 489. | basic_operations |
730,846 | 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 |
730,847 | word_problems | easy | If you have 6 apples and you buy 13 more apples, how many apples do you have in total? | 19 | Add initial 6 plus bought 13: 6+13=19. | addition_word |
730,848 | arithmetic | easy | What is 87 * 56? | 4872 | Multiply: 87 * 56 = 4872. | basic_operations |
730,849 | exponents | easy | What is 8^5? | 32768 | 8^5 means multiply 8 by itself 5 times: 8*8*8*8*8 = 32768. | exponents |
730,850 | geometry | easy | Find the area of a rectangle with length 18 and width 75. | 1350 | Area = length * width = 18*75 = 1350. | rectangle_area |
730,851 | roots | easy | What is the square root of 900? | 30 | Find number that when squared gives 900. 30*30=900, so sqrt(900)=30. | square_roots |
730,852 | exponents | easy | What is 5^4? | 625 | 5^4 means multiply 5 by itself 4 times: 5*5*5*5 = 625. | exponents |
730,853 | statistics | easy | What is the mean (average) of 24, 84, 57, 49? | 53.5 | Mean = sum/count. Sum = 24+84+57+49=214. Count=4. Mean=214/4=53.5. | mean |
730,854 | geometry | easy | Find the perimeter of a rectangle with length 86 and width 93. | 358 | Perimeter = 2*(length+width) = 2*(86+93) = 2*179 = 358. | rectangle_perim |
730,855 | geometry | easy | Find the area of a rectangle with length 4 and width 35. | 140 | Area = length * width = 4*35 = 140. | rectangle_area |
730,856 | algebra | easy | Solve for x: 6x - 50 = -26 | 4 | Add 50 to both sides: 6x = -26+50=24. Then x = 24/6 = 4. | linear_equation |
730,857 | arithmetic | easy | What is 382 + 375 * 11? Remember order of operations. | 4507 | Order of operations (PEMDAS): first 375*11=4125, then 382+4125=4507. | basic_operations |
730,858 | percentages | easy | What is 33% of 188? | 62.04 | Calculate 33/100 * 188 = 0.33*188 = 62.04. | percentages |
730,859 | exponents | easy | What is 8^5? | 32768 | 8^5 means multiply 8 by itself 5 times: 8*8*8*8*8 = 32768. | exponents |
730,860 | arithmetic | easy | What is 681 + 923 * 42? Remember order of operations. | 39447 | Order of operations (PEMDAS): first 923*42=38766, then 681+38766=39447. | basic_operations |
730,861 | 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 |
730,862 | arithmetic | easy | What is 943 - 65? | 878 | Subtract: 943 - 65 = 878. | basic_operations |
730,863 | word_problems | easy | If you have 47 books and you buy 7 more books, how many books do you have in total? | 54 | Add initial 47 plus bought 7: 47+7=54. | addition_word |
730,864 | fractions | medium | What is 20/9 + 15/4? Give as simplified fraction. | 215/36 | Common denominator 9*4=36. 20/9=80/36, 15/4=135/36. Sum = 215/36 = 215/36 simplified. | fraction_operations |
730,865 | 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 |
730,866 | geometry | easy | Find the area of a circle with radius 1. Use pi=3.14159, round to 2 decimals. | 3.14 | Area = pi*r^2 = 3.14159*1^2 = 3.14159*1 = 3.14. | circle_area |
730,867 | exponents | easy | What is 12^3? | 1728 | 12^3 means multiply 12 by itself 3 times: 12*12*12 = 1728. | exponents |
730,868 | statistics | easy | What is the mean (average) of 29, 60, 80, 5, 92? | 53.2 | Mean = sum/count. Sum = 29+60+80+5+92=266. Count=5. Mean=266/5=53.2. | mean |
730,869 | number_theory | medium | What is the GCD (greatest common divisor) of 54 and 20? | 2 | Find greatest number dividing both 54 and 20. Divisors common, greatest is 2. | gcd |
730,870 | exponents | easy | What is 11^2? | 121 | 11^2 means multiply 11 by itself 2 times: 11*11 = 121. | exponents |
730,871 | arithmetic | easy | What is 13824 / 72? | 192 | Divide: 13824 ÷ 72 = 192 because 72*192=13824. | division |
730,872 | algebra | medium | Solve for x: x^2 - 2x - 80 = 0 | x = 10, -8 | Factor: (x - 10)(x - -8) = x^2 -(2)x + -80 = 0. So x = 10 or -8. Check sum = 2, product = -80. | quadratic |
730,873 | arithmetic | easy | What is 12720 / 48? | 265 | Divide: 12720 ÷ 48 = 265 because 48*265=12720. | division |
730,874 | 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 |
730,875 | arithmetic | easy | What is 31200 / 80? | 390 | Divide: 31200 ÷ 80 = 390 because 80*390=31200. | division |
730,876 | arithmetic | easy | What is 60 + 44 * 54? Remember order of operations. | 2436 | Order of operations (PEMDAS): first 44*54=2376, then 60+2376=2436. | basic_operations |
730,877 | statistics | easy | What is the mean (average) of 28, 36, 19, 43, 75? | 40.2 | Mean = sum/count. Sum = 28+36+19+43+75=201. Count=5. Mean=201/5=40.2. | mean |
730,878 | word_problems | easy | If you have 84 candies and you buy 32 more candies, how many candies do you have in total? | 116 | Add initial 84 plus bought 32: 84+32=116. | addition_word |
730,879 | arithmetic | easy | What is 638 + 753 * 35? Remember order of operations. | 26993 | Order of operations (PEMDAS): first 753*35=26355, then 638+26355=26993. | basic_operations |
730,880 | 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 |
730,881 | arithmetic | easy | What is 509 + 602? | 1111 | Add the two numbers: 509 + 602 = 1111. | basic_operations |
730,882 | arithmetic | easy | What is 5860 divided by 61? Give answer to 2 decimal places. | 96.07 | Calculate 5860/ 61 = 96.0656, rounded to 2 decimals is 96.07. | division |
730,883 | 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 |
730,884 | exponents | easy | What is 10^3? | 1000 | 10^3 means multiply 10 by itself 3 times: 10*10*10 = 1000. | exponents |
730,885 | arithmetic | easy | What is 16695 / 63? | 265 | Divide: 16695 ÷ 63 = 265 because 63*265=16695. | division |
730,886 | roots | easy | What is the square root of 2401? | 49 | Find number that when squared gives 2401. 49*49=2401, so sqrt(2401)=49. | square_roots |
730,887 | statistics | easy | What is the mean (average) of 23, 24, 6? | 17.67 | Mean = sum/count. Sum = 23+24+6=53. Count=3. Mean=53/3=17.67. | mean |
730,888 | exponents | easy | What is 3^2? | 9 | 3^2 means multiply 3 by itself 2 times: 3*3 = 9. | exponents |
730,889 | algebra | medium | Solve for x: x^2 + 4x - 5 = 0 | x = -5, 1 | Factor: (x - -5)(x - 1) = x^2 -(-4)x + -5 = 0. So x = -5 or 1. Check sum = -4, product = -5. | quadratic |
730,890 | 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 |
730,891 | exponents | easy | What is 2^3? | 8 | 2^3 means multiply 2 by itself 3 times: 2*2*2 = 8. | exponents |
730,892 | statistics | easy | What is the mean (average) of 7, 49, 63, 26? | 36.25 | Mean = sum/count. Sum = 7+49+63+26=145. Count=4. Mean=145/4=36.25. | mean |
730,893 | statistics | easy | What is the mean (average) of 76, 43, 77? | 65.33 | Mean = sum/count. Sum = 76+43+77=196. Count=3. Mean=196/3=65.33. | mean |
730,894 | geometry | easy | Find the perimeter of a rectangle with length 71 and width 35. | 212 | Perimeter = 2*(length+width) = 2*(71+35) = 2*106 = 212. | rectangle_perim |
730,895 | percentages | easy | What is 27% of 713? | 192.51 | Calculate 27/100 * 713 = 0.27*713 = 192.51. | percentages |
730,896 | algebra | easy | Solve for x: 20x - 43 = -163 | -6 | Add 43 to both sides: 20x = -163+43=-120. Then x = -120/20 = -6. | linear_equation |
730,897 | number_theory | medium | What is the LCM (least common multiple) of 58 and 58? | 58 | LCM = |58*58| / GCD(58,58). GCD=58, so LCM=3364/58=58. | lcm |
730,898 | word_problems | easy | If you have 33 dollars and you buy 45 more dollars, how many dollars do you have in total? | 78 | Add initial 33 plus bought 45: 33+45=78. | addition_word |
730,899 | exponents | easy | What is 9^2? | 81 | 9^2 means multiply 9 by itself 2 times: 9*9 = 81. | exponents |
730,900 | algebra | easy | Solve for x: 16x + 11 = -229 | -15 | Subtract 11 from both sides: 16x = -229-11=-240. Then divide by 16: x = -240/16 = -15. | linear_equation |
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