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 |
|---|---|---|---|---|---|---|
11,801 | geometry | easy | Find the area of a triangle with base 11 and height 22. | 121 | Area = 0.5*base*height = 0.5*11*22 = 121. | triangle_area |
11,802 | 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 |
11,803 | algebra | medium | Solve for x: x^2 - 11x + 30 = 0 | x = 6, 5 | Factor: (x - 6)(x - 5) = x^2 -(11)x + 30 = 0. So x = 6 or 5. Check sum = 11, product = 30. | quadratic |
11,804 | statistics | easy | What is the mean (average) of 64, 69, 50, 79? | 65.5 | Mean = sum/count. Sum = 64+69+50+79=262. Count=4. Mean=262/4=65.5. | mean |
11,805 | arithmetic | easy | What is 302 - 54? | 248 | Subtract: 302 - 54 = 248. | basic_operations |
11,806 | 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 |
11,807 | calculus | medium | What is the derivative of 3x^4 with respect to x? | 12x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^4] = 3*4*x^3 = 12x^3. | derivative |
11,808 | exponents | easy | What is 3^4? | 81 | 3^4 means multiply 3 by itself 4 times: 3*3*3*3 = 81. | exponents |
11,809 | statistics | easy | What is the mean (average) of 10, 86, 66? | 54 | Mean = sum/count. Sum = 10+86+66=162. Count=3. Mean=162/3=54.0. | mean |
11,810 | arithmetic | easy | What is 145 + 19 * 37? Remember order of operations. | 848 | Order of operations (PEMDAS): first 19*37=703, then 145+703=848. | basic_operations |
11,811 | arithmetic | easy | What is 9 * 18? | 162 | Multiply: 9 * 18 = 162. | basic_operations |
11,812 | geometry | easy | Find the perimeter of a rectangle with length 89 and width 32. | 242 | Perimeter = 2*(length+width) = 2*(89+32) = 2*121 = 242. | rectangle_perim |
11,813 | word_problems | easy | If you have 12 candies and you buy 12 more candies, how many candies do you have in total? | 24 | Add initial 12 plus bought 12: 12+12=24. | addition_word |
11,814 | number_theory | medium | What is the GCD (greatest common divisor) of 57 and 68? | 1 | Find greatest number dividing both 57 and 68. Divisors common, greatest is 1. | gcd |
11,815 | exponents | easy | What is 11^5? | 161051 | 11^5 means multiply 11 by itself 5 times: 11*11*11*11*11 = 161051. | exponents |
11,816 | percentages | easy | What is 46% of 326? | 149.96 | Calculate 46/100 * 326 = 0.46*326 = 149.96. | percentages |
11,817 | arithmetic | easy | What is 597 + 81 * 27? Remember order of operations. | 2784 | Order of operations (PEMDAS): first 81*27=2187, then 597+2187=2784. | basic_operations |
11,818 | arithmetic | easy | What is 678 + 82? | 760 | Add the two numbers: 678 + 82 = 760. | basic_operations |
11,819 | exponents | easy | What is 7^5? | 16807 | 7^5 means multiply 7 by itself 5 times: 7*7*7*7*7 = 16807. | exponents |
11,820 | word_problems | easy | If you have 33 books and you buy 6 more books, how many books do you have in total? | 39 | Add initial 33 plus bought 6: 33+6=39. | addition_word |
11,821 | statistics | easy | What is the mean (average) of 89, 6, 93? | 62.67 | Mean = sum/count. Sum = 89+6+93=188. Count=3. Mean=188/3=62.67. | mean |
11,822 | arithmetic | easy | What is 710 - 681? | 29 | Subtract: 710 - 681 = 29. | basic_operations |
11,823 | arithmetic | easy | What is 974 - 927? | 47 | Subtract: 974 - 927 = 47. | basic_operations |
11,824 | arithmetic | easy | What is 822 + 512 * 30? Remember order of operations. | 16182 | Order of operations (PEMDAS): first 512*30=15360, then 822+15360=16182. | basic_operations |
11,825 | arithmetic | easy | What is 44066 divided by 92? Give answer to 2 decimal places. | 478.98 | Calculate 44066/ 92 = 478.9783, rounded to 2 decimals is 478.98. | division |
11,826 | fractions | medium | What is 15/8 * 8/17? Give as simplified fraction. | 15/17 | Multiply numerators: 15*8=120. Denominators: 8*17=136. Simplify by gcd 8 to get 15/17. | fraction_operations |
11,827 | arithmetic | easy | What is 86 + 862? | 948 | Add the two numbers: 86 + 862 = 948. | basic_operations |
11,828 | exponents | easy | What is 11^3? | 1331 | 11^3 means multiply 11 by itself 3 times: 11*11*11 = 1331. | exponents |
11,829 | 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 |
11,830 | arithmetic | easy | What is 21 * 21? | 441 | Multiply: 21 * 21 = 441. | basic_operations |
11,831 | geometry | easy | Find the area of a rectangle with length 1 and width 54. | 54 | Area = length * width = 1*54 = 54. | rectangle_area |
11,832 | arithmetic | easy | What is 537 + 214 * 49? Remember order of operations. | 11023 | Order of operations (PEMDAS): first 214*49=10486, then 537+10486=11023. | basic_operations |
11,833 | 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 |
11,834 | arithmetic | easy | What is 938 - 176? | 762 | Subtract: 938 - 176 = 762. | basic_operations |
11,835 | geometry | easy | Find the perimeter of a rectangle with length 44 and width 70. | 228 | Perimeter = 2*(length+width) = 2*(44+70) = 2*114 = 228. | rectangle_perim |
11,836 | arithmetic | easy | What is 855 + 284 * 61? Remember order of operations. | 18179 | Order of operations (PEMDAS): first 284*61=17324, then 855+17324=18179. | basic_operations |
11,837 | arithmetic | easy | What is 806 + 34 * 39? Remember order of operations. | 2132 | Order of operations (PEMDAS): first 34*39=1326, then 806+1326=2132. | basic_operations |
11,838 | 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 |
11,839 | percentages | easy | What is 9% of 725? | 65.25 | Calculate 9/100 * 725 = 0.09*725 = 65.25. | percentages |
11,840 | arithmetic | easy | What is 36342 divided by 75? Give answer to 2 decimal places. | 484.56 | Calculate 36342/ 75 = 484.5600, rounded to 2 decimals is 484.56. | division |
11,841 | arithmetic | easy | What is 988 - 851? | 137 | Subtract: 988 - 851 = 137. | basic_operations |
11,842 | fractions | medium | What is 9/17 - 16/15? Give as simplified fraction. | -137/255 | Common denominator 255. Numerator 135-272=-137. So -137/255 simplifies to -137/255. | fraction_operations |
11,843 | arithmetic | easy | What is 43 + 49 * 33? Remember order of operations. | 1660 | Order of operations (PEMDAS): first 49*33=1617, then 43+1617=1660. | basic_operations |
11,844 | statistics | easy | What is the mean (average) of 2, 35, 22, 23? | 20.5 | Mean = sum/count. Sum = 2+35+22+23=82. Count=4. Mean=82/4=20.5. | mean |
11,845 | exponents | easy | What is 8^4? | 4096 | 8^4 means multiply 8 by itself 4 times: 8*8*8*8 = 4096. | exponents |
11,846 | arithmetic | easy | What is 96 * 89? | 8544 | Multiply: 96 * 89 = 8544. | basic_operations |
11,847 | arithmetic | easy | What is 37050 / 95? | 390 | Divide: 37050 ÷ 95 = 390 because 95*390=37050. | division |
11,848 | geometry | easy | Find the area of a rectangle with length 95 and width 67. | 6365 | Area = length * width = 95*67 = 6365. | rectangle_area |
11,849 | algebra | medium | Solve for x: x^2 - 10x + 25 = 0 | x = 5 | Factor as (x - 5)^2 = 0, so root is 5 (double root). Sum of roots = 10, product = 25. | quadratic |
11,850 | arithmetic | easy | What is 2464 / 16? | 154 | Divide: 2464 ÷ 16 = 154 because 16*154=2464. | division |
11,851 | 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 |
11,852 | arithmetic | easy | What is 970 - 78? | 892 | Subtract: 970 - 78 = 892. | basic_operations |
11,853 | roots | easy | What is the square root of 529? | 23 | Find number that when squared gives 529. 23*23=529, so sqrt(529)=23. | square_roots |
11,854 | statistics | easy | What is the mean (average) of 72, 22, 52? | 48.67 | Mean = sum/count. Sum = 72+22+52=146. Count=3. Mean=146/3=48.67. | mean |
11,855 | statistics | easy | What is the mean (average) of 71, 49, 42, 6, 34? | 40.4 | Mean = sum/count. Sum = 71+49+42+6+34=202. Count=5. Mean=202/5=40.4. | mean |
11,856 | 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 |
11,857 | exponents | easy | What is 6^3? | 216 | 6^3 means multiply 6 by itself 3 times: 6*6*6 = 216. | exponents |
11,858 | geometry | easy | Find the perimeter of a rectangle with length 96 and width 52. | 296 | Perimeter = 2*(length+width) = 2*(96+52) = 2*148 = 296. | rectangle_perim |
11,859 | statistics | easy | What is the mean (average) of 3, 68, 69, 8, 90? | 47.6 | Mean = sum/count. Sum = 3+68+69+8+90=238. Count=5. Mean=238/5=47.6. | mean |
11,860 | number_theory | medium | What is the LCM (least common multiple) of 6 and 9? | 18 | LCM = |6*9| / GCD(6,9). GCD=3, so LCM=54/3=18. | lcm |
11,861 | arithmetic | easy | What is 6997 divided by 31? Give answer to 2 decimal places. | 225.71 | Calculate 6997/ 31 = 225.7097, rounded to 2 decimals is 225.71. | division |
11,862 | algebra | medium | Solve for x: x^2 - 9x + 18 = 0 | x = 3, 6 | Factor: (x - 3)(x - 6) = x^2 -(9)x + 18 = 0. So x = 3 or 6. Check sum = 9, product = 18. | quadratic |
11,863 | geometry | easy | Find the area of a triangle with base 57 and height 6. | 171 | Area = 0.5*base*height = 0.5*57*6 = 171. | triangle_area |
11,864 | exponents | easy | What is 4^4? | 256 | 4^4 means multiply 4 by itself 4 times: 4*4*4*4 = 256. | exponents |
11,865 | arithmetic | easy | What is 65 + 15 * 73? Remember order of operations. | 1160 | Order of operations (PEMDAS): first 15*73=1095, then 65+1095=1160. | basic_operations |
11,866 | arithmetic | easy | What is 69 * 11? | 759 | Multiply: 69 * 11 = 759. | basic_operations |
11,867 | arithmetic | easy | What is 46 + 440? | 486 | Add the two numbers: 46 + 440 = 486. | basic_operations |
11,868 | percentages | easy | What is 55% of 369? | 202.95 | Calculate 55/100 * 369 = 0.55*369 = 202.95. | percentages |
11,869 | statistics | easy | What is the mean (average) of 86, 29, 77? | 64 | Mean = sum/count. Sum = 86+29+77=192. Count=3. Mean=192/3=64.0. | mean |
11,870 | word_problems | easy | If you have 55 apples and you buy 27 more apples, how many apples do you have in total? | 82 | Add initial 55 plus bought 27: 55+27=82. | addition_word |
11,871 | arithmetic | easy | What is 321 - 258? | 63 | Subtract: 321 - 258 = 63. | basic_operations |
11,872 | roots | easy | What is the square root of 9? | 3 | Find number that when squared gives 9. 3*3=9, so sqrt(9)=3. | square_roots |
11,873 | arithmetic | easy | What is 816 + 507 * 56? Remember order of operations. | 29208 | Order of operations (PEMDAS): first 507*56=28392, then 816+28392=29208. | basic_operations |
11,874 | word_problems | easy | If you have 49 apples and you buy 49 more apples, how many apples do you have in total? | 98 | Add initial 49 plus bought 49: 49+49=98. | addition_word |
11,875 | arithmetic | easy | What is 921 - 6? | 915 | Subtract: 921 - 6 = 915. | basic_operations |
11,876 | algebra | medium | Solve for x: x^2 - 5x - 6 = 0 | x = 6, -1 | Factor: (x - 6)(x - -1) = x^2 -(5)x + -6 = 0. So x = 6 or -1. Check sum = 5, product = -6. | quadratic |
11,877 | number_theory | medium | What is the LCM (least common multiple) of 47 and 59? | 2773 | LCM = |47*59| / GCD(47,59). GCD=1, so LCM=2773/1=2773. | lcm |
11,878 | arithmetic | easy | What is 22204 divided by 69? Give answer to 2 decimal places. | 321.8 | Calculate 22204/ 69 = 321.7971, rounded to 2 decimals is 321.8. | division |
11,879 | statistics | easy | What is the mean (average) of 56, 55, 63? | 58 | Mean = sum/count. Sum = 56+55+63=174. Count=3. Mean=174/3=58.0. | mean |
11,880 | algebra | easy | Solve for x: 3x + 27 = -3 | -10 | Subtract 27 from both sides: 3x = -3-27=-30. Then divide by 3: x = -30/3 = -10. | linear_equation |
11,881 | algebra | medium | Solve for x: x^2 - 4x - 21 = 0 | x = 7, -3 | Factor: (x - 7)(x - -3) = x^2 -(4)x + -21 = 0. So x = 7 or -3. Check sum = 4, product = -21. | quadratic |
11,882 | exponents | easy | What is 11^2? | 121 | 11^2 means multiply 11 by itself 2 times: 11*11 = 121. | exponents |
11,883 | geometry | easy | Find the perimeter of a rectangle with length 2 and width 82. | 168 | Perimeter = 2*(length+width) = 2*(2+82) = 2*84 = 168. | rectangle_perim |
11,884 | algebra | easy | Solve for x: 4x - 4 = -44 | -10 | Add 4 to both sides: 4x = -44+4=-40. Then x = -40/4 = -10. | linear_equation |
11,885 | word_problems | easy | If you have 27 dollars and you buy 48 more dollars, how many dollars do you have in total? | 75 | Add initial 27 plus bought 48: 27+48=75. | addition_word |
11,886 | statistics | easy | What is the mean (average) of 29, 26, 55, 60, 36? | 41.2 | Mean = sum/count. Sum = 29+26+55+60+36=206. Count=5. Mean=206/5=41.2. | mean |
11,887 | arithmetic | easy | What is 14 * 22? | 308 | Multiply: 14 * 22 = 308. | basic_operations |
11,888 | arithmetic | easy | What is 608 - 354? | 254 | Subtract: 608 - 354 = 254. | basic_operations |
11,889 | word_problems | easy | If you have 85 candies and you buy 50 more candies, how many candies do you have in total? | 135 | Add initial 85 plus bought 50: 85+50=135. | addition_word |
11,890 | arithmetic | easy | What is 93 + 181? | 274 | Add the two numbers: 93 + 181 = 274. | basic_operations |
11,891 | calculus | medium | What is the derivative of 3x^8 with respect to x? | 24x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^8] = 3*8*x^7 = 24x^7. | derivative |
11,892 | arithmetic | easy | What is 545 + 222? | 767 | Add the two numbers: 545 + 222 = 767. | basic_operations |
11,893 | arithmetic | easy | What is 5 * 9? | 45 | Multiply: 5 * 9 = 45. | basic_operations |
11,894 | algebra | medium | Solve for x: x^2 - 1x - 90 = 0 | x = -9, 10 | Factor: (x - -9)(x - 10) = x^2 -(1)x + -90 = 0. So x = -9 or 10. Check sum = 1, product = -90. | quadratic |
11,895 | 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 |
11,896 | word_problems | easy | If you have 12 dollars and you buy 15 more dollars, how many dollars do you have in total? | 27 | Add initial 12 plus bought 15: 12+15=27. | addition_word |
11,897 | roots | easy | What is the square root of 1600? | 40 | Find number that when squared gives 1600. 40*40=1600, so sqrt(1600)=40. | square_roots |
11,898 | number_theory | medium | What is the LCM (least common multiple) of 80 and 14? | 560 | LCM = |80*14| / GCD(80,14). GCD=2, so LCM=1120/2=560. | lcm |
11,899 | arithmetic | easy | What is 11700 / 52? | 225 | Divide: 11700 ÷ 52 = 225 because 52*225=11700. | division |
11,900 | 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 |
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