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 |
|---|---|---|---|---|---|---|
11,901 | 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 |
11,902 | calculus | medium | What is the derivative of 6x^8 with respect to x? | 48x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^8] = 6*8*x^7 = 48x^7. | derivative |
11,903 | calculus | medium | What is the derivative of 4x^8 with respect to x? | 32x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^8] = 4*8*x^7 = 32x^7. | derivative |
11,904 | 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 |
11,905 | algebra | easy | Solve for x: 12x - 19 = 29 | 4 | Add 19 to both sides: 12x = 29+19=48. Then x = 48/12 = 4. | linear_equation |
11,906 | statistics | easy | What is the mean (average) of 19, 8, 80? | 35.67 | Mean = sum/count. Sum = 19+8+80=107. Count=3. Mean=107/3=35.67. | mean |
11,907 | algebra | easy | Solve for x: 6x - 9 = -27 | -3 | Add 9 to both sides: 6x = -27+9=-18. Then x = -18/6 = -3. | linear_equation |
11,908 | number_theory | medium | What is the GCD (greatest common divisor) of 6 and 71? | 1 | Find greatest number dividing both 6 and 71. Divisors common, greatest is 1. | gcd |
11,909 | calculus | medium | What is the derivative of 5x^6 with respect to x? | 30x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^6] = 5*6*x^5 = 30x^5. | derivative |
11,910 | arithmetic | easy | What is 628 - 450? | 178 | Subtract: 628 - 450 = 178. | basic_operations |
11,911 | statistics | easy | What is the mean (average) of 69, 26, 82? | 59 | Mean = sum/count. Sum = 69+26+82=177. Count=3. Mean=177/3=59.0. | mean |
11,912 | exponents | easy | What is 3^2? | 9 | 3^2 means multiply 3 by itself 2 times: 3*3 = 9. | exponents |
11,913 | arithmetic | easy | What is 656 - 5? | 651 | Subtract: 656 - 5 = 651. | basic_operations |
11,914 | exponents | easy | What is 10^4? | 10000 | 10^4 means multiply 10 by itself 4 times: 10*10*10*10 = 10000. | exponents |
11,915 | percentages | easy | What is 92% of 774? | 712.08 | Calculate 92/100 * 774 = 0.92*774 = 712.08. | percentages |
11,916 | percentages | easy | What is 4% of 775? | 31 | Calculate 4/100 * 775 = 0.04*775 = 31. | percentages |
11,917 | arithmetic | easy | What is 284 + 441? | 725 | Add the two numbers: 284 + 441 = 725. | basic_operations |
11,918 | roots | easy | What is the square root of 1764? | 42 | Find number that when squared gives 1764. 42*42=1764, so sqrt(1764)=42. | square_roots |
11,919 | 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 |
11,920 | statistics | easy | What is the mean (average) of 50, 36, 73? | 53 | Mean = sum/count. Sum = 50+36+73=159. Count=3. Mean=159/3=53.0. | mean |
11,921 | percentages | easy | What is 61% of 382? | 233.02 | Calculate 61/100 * 382 = 0.61*382 = 233.02. | percentages |
11,922 | arithmetic | easy | What is 7 * 82? | 574 | Multiply: 7 * 82 = 574. | basic_operations |
11,923 | 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 |
11,924 | percentages | easy | What is 8% of 270? | 21.6 | Calculate 8/100 * 270 = 0.08*270 = 21.6. | percentages |
11,925 | statistics | easy | What is the mean (average) of 17, 63, 84? | 54.67 | Mean = sum/count. Sum = 17+63+84=164. Count=3. Mean=164/3=54.67. | mean |
11,926 | arithmetic | easy | What is 870 + 164 * 59? Remember order of operations. | 10546 | Order of operations (PEMDAS): first 164*59=9676, then 870+9676=10546. | basic_operations |
11,927 | arithmetic | easy | What is 78 / 26? | 3 | Divide: 78 ÷ 26 = 3 because 26*3=78. | division |
11,928 | roots | easy | What is the square root of 1681? | 41 | Find number that when squared gives 1681. 41*41=1681, so sqrt(1681)=41. | square_roots |
11,929 | arithmetic | easy | What is 70 * 42? | 2940 | Multiply: 70 * 42 = 2940. | basic_operations |
11,930 | roots | easy | What is the square root of 400? | 20 | Find number that when squared gives 400. 20*20=400, so sqrt(400)=20. | square_roots |
11,931 | statistics | easy | What is the mean (average) of 70, 66, 100? | 78.67 | Mean = sum/count. Sum = 70+66+100=236. Count=3. Mean=236/3=78.67. | mean |
11,932 | arithmetic | easy | What is 555 - 290? | 265 | Subtract: 555 - 290 = 265. | basic_operations |
11,933 | calculus | medium | What is the derivative of 9x^3 with respect to x? | 27x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^3] = 9*3*x^2 = 27x^2. | derivative |
11,934 | algebra | medium | Solve for x: x^2 - 6x = 0 | x = 6, 0 | Factor: (x - 6)(x - 0) = x^2 -(6)x + 0 = 0. So x = 6 or 0. Check sum = 6, product = 0. | quadratic |
11,935 | arithmetic | easy | What is 456 + 168 * 45? Remember order of operations. | 8016 | Order of operations (PEMDAS): first 168*45=7560, then 456+7560=8016. | basic_operations |
11,936 | arithmetic | easy | What is 47 * 10? | 470 | Multiply: 47 * 10 = 470. | basic_operations |
11,937 | number_theory | medium | What is the GCD (greatest common divisor) of 8 and 15? | 1 | Find greatest number dividing both 8 and 15. Divisors common, greatest is 1. | gcd |
11,938 | 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 |
11,939 | 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 |
11,940 | arithmetic | easy | What is 61 * 87? | 5307 | Multiply: 61 * 87 = 5307. | basic_operations |
11,941 | number_theory | medium | What is the LCM (least common multiple) of 2 and 93? | 186 | LCM = |2*93| / GCD(2,93). GCD=1, so LCM=186/1=186. | lcm |
11,942 | arithmetic | easy | What is 12432 / 28? | 444 | Divide: 12432 ÷ 28 = 444 because 28*444=12432. | division |
11,943 | geometry | easy | Find the area of a rectangle with length 66 and width 4. | 264 | Area = length * width = 66*4 = 264. | rectangle_area |
11,944 | number_theory | medium | What is the LCM (least common multiple) of 96 and 12? | 96 | LCM = |96*12| / GCD(96,12). GCD=12, so LCM=1152/12=96. | lcm |
11,945 | arithmetic | easy | What is 217 divided by 18? Give answer to 2 decimal places. | 12.06 | Calculate 217/ 18 = 12.0556, rounded to 2 decimals is 12.06. | division |
11,946 | geometry | easy | Find the area of a rectangle with length 36 and width 95. | 3420 | Area = length * width = 36*95 = 3420. | rectangle_area |
11,947 | number_theory | medium | What is the LCM (least common multiple) of 9 and 43? | 387 | LCM = |9*43| / GCD(9,43). GCD=1, so LCM=387/1=387. | lcm |
11,948 | fractions | medium | What is 7/6 * 16/15? Give as simplified fraction. | 56/45 | Multiply numerators: 7*16=112. Denominators: 6*15=90. Simplify by gcd 2 to get 56/45. | fraction_operations |
11,949 | algebra | easy | Solve for x: 13x + 21 = 229 | 16 | Subtract 21 from both sides: 13x = 229-21=208. Then divide by 13: x = 208/13 = 16. | linear_equation |
11,950 | geometry | easy | Find the circumference of a circle with radius 15. Use pi=3.14159, round to 2 decimals. | 94.25 | Circumference = 2*pi*r = 2*3.14159*15 = 94.25. | circle_circum |
11,951 | word_problems | easy | If you have 83 apples and you buy 13 more apples, how many apples do you have in total? | 96 | Add initial 83 plus bought 13: 83+13=96. | addition_word |
11,952 | algebra | easy | Solve for x: 12x - 28 = -112 | -7 | Add 28 to both sides: 12x = -112+28=-84. Then x = -84/12 = -7. | linear_equation |
11,953 | arithmetic | easy | What is 385 + 53 * 47? Remember order of operations. | 2876 | Order of operations (PEMDAS): first 53*47=2491, then 385+2491=2876. | basic_operations |
11,954 | arithmetic | easy | What is 450 - 83? | 367 | Subtract: 450 - 83 = 367. | basic_operations |
11,955 | arithmetic | easy | What is 6860 / 28? | 245 | Divide: 6860 ÷ 28 = 245 because 28*245=6860. | division |
11,956 | arithmetic | easy | What is 9 + 73 * 41? Remember order of operations. | 3002 | Order of operations (PEMDAS): first 73*41=2993, then 9+2993=3002. | basic_operations |
11,957 | 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 |
11,958 | exponents | easy | What is 5^5? | 3125 | 5^5 means multiply 5 by itself 5 times: 5*5*5*5*5 = 3125. | exponents |
11,959 | exponents | easy | What is 5^5? | 3125 | 5^5 means multiply 5 by itself 5 times: 5*5*5*5*5 = 3125. | exponents |
11,960 | number_theory | medium | What is the GCD (greatest common divisor) of 87 and 89? | 1 | Find greatest number dividing both 87 and 89. Divisors common, greatest is 1. | gcd |
11,961 | arithmetic | easy | What is 674 - 314? | 360 | Subtract: 674 - 314 = 360. | basic_operations |
11,962 | geometry | easy | Find the area of a circle with radius 27. Use pi=3.14159, round to 2 decimals. | 2290.22 | Area = pi*r^2 = 3.14159*27^2 = 3.14159*729 = 2290.22. | circle_area |
11,963 | arithmetic | easy | What is 833 / 49? | 17 | Divide: 833 ÷ 49 = 17 because 49*17=833. | division |
11,964 | arithmetic | easy | What is 7644 / 39? | 196 | Divide: 7644 ÷ 39 = 196 because 39*196=7644. | division |
11,965 | word_problems | easy | If you have 84 pencils and you buy 36 more pencils, how many pencils do you have in total? | 120 | Add initial 84 plus bought 36: 84+36=120. | addition_word |
11,966 | statistics | easy | What is the mean (average) of 100, 30, 31, 87? | 62 | Mean = sum/count. Sum = 100+30+31+87=248. Count=4. Mean=248/4=62.0. | mean |
11,967 | arithmetic | easy | What is 204 + 132 * 2? Remember order of operations. | 468 | Order of operations (PEMDAS): first 132*2=264, then 204+264=468. | basic_operations |
11,968 | fractions | medium | What is 8/9 * 17/18? Give as simplified fraction. | 68/81 | Multiply numerators: 8*17=136. Denominators: 9*18=162. Simplify by gcd 2 to get 68/81. | fraction_operations |
11,969 | percentages | easy | What is 14% of 678? | 94.92 | Calculate 14/100 * 678 = 0.14*678 = 94.92. | percentages |
11,970 | 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 |
11,971 | roots | easy | What is the square root of 4? | 2 | Find number that when squared gives 4. 2*2=4, so sqrt(4)=2. | square_roots |
11,972 | algebra | easy | Solve for x: 16x - 48 = -112 | -4 | Add 48 to both sides: 16x = -112+48=-64. Then x = -64/16 = -4. | linear_equation |
11,973 | arithmetic | easy | What is 25 + 797? | 822 | Add the two numbers: 25 + 797 = 822. | basic_operations |
11,974 | 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 |
11,975 | 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 |
11,976 | exponents | easy | What is 9^2? | 81 | 9^2 means multiply 9 by itself 2 times: 9*9 = 81. | exponents |
11,977 | statistics | easy | What is the mean (average) of 20, 50, 6, 95, 21? | 38.4 | Mean = sum/count. Sum = 20+50+6+95+21=192. Count=5. Mean=192/5=38.4. | mean |
11,978 | word_problems | easy | If you have 45 pencils and you buy 31 more pencils, how many pencils do you have in total? | 76 | Add initial 45 plus bought 31: 45+31=76. | addition_word |
11,979 | 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 |
11,980 | fractions | medium | What is 14/18 + 1/13? Give as simplified fraction. | 100/117 | Common denominator 18*13=234. 14/18=182/234, 1/13=18/234. Sum = 200/234 = 100/117 simplified. | fraction_operations |
11,981 | statistics | easy | What is the mean (average) of 68, 8, 72? | 49.33 | Mean = sum/count. Sum = 68+8+72=148. Count=3. Mean=148/3=49.33. | mean |
11,982 | algebra | easy | Solve for x: 7x - 26 = -152 | -18 | Add 26 to both sides: 7x = -152+26=-126. Then x = -126/7 = -18. | linear_equation |
11,983 | word_problems | easy | If you have 8 pencils and you buy 6 more pencils, how many pencils do you have in total? | 14 | Add initial 8 plus bought 6: 8+6=14. | addition_word |
11,984 | algebra | medium | Solve for x: x^2 - 3x - 4 = 0 | x = -1, 4 | Factor: (x - -1)(x - 4) = x^2 -(3)x + -4 = 0. So x = -1 or 4. Check sum = 3, product = -4. | quadratic |
11,985 | statistics | easy | What is the mean (average) of 81, 88, 60? | 76.33 | Mean = sum/count. Sum = 81+88+60=229. Count=3. Mean=229/3=76.33. | mean |
11,986 | number_theory | medium | What is the LCM (least common multiple) of 13 and 68? | 884 | LCM = |13*68| / GCD(13,68). GCD=1, so LCM=884/1=884. | lcm |
11,987 | algebra | easy | Solve for x: 4x - 50 = 14 | 16 | Add 50 to both sides: 4x = 14+50=64. Then x = 64/4 = 16. | linear_equation |
11,988 | 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 |
11,989 | fractions | medium | What is 13/16 * 17/7? Give as simplified fraction. | 221/112 | Multiply numerators: 13*17=221. Denominators: 16*7=112. Simplify by gcd 1 to get 221/112. | fraction_operations |
11,990 | arithmetic | easy | What is 50 + 2 * 70? Remember order of operations. | 190 | Order of operations (PEMDAS): first 2*70=140, then 50+140=190. | basic_operations |
11,991 | calculus | medium | What is the derivative of 9x^8 with respect to x? | 72x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^8] = 9*8*x^7 = 72x^7. | derivative |
11,992 | arithmetic | easy | What is 929 - 897? | 32 | Subtract: 929 - 897 = 32. | basic_operations |
11,993 | exponents | easy | What is 4^4? | 256 | 4^4 means multiply 4 by itself 4 times: 4*4*4*4 = 256. | exponents |
11,994 | 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 |
11,995 | 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 |
11,996 | arithmetic | easy | What is 433 + 560? | 993 | Add the two numbers: 433 + 560 = 993. | basic_operations |
11,997 | algebra | easy | Solve for x: 6x + 30 = 18 | -2 | Subtract 30 from both sides: 6x = 18-30=-12. Then divide by 6: x = -12/6 = -2. | linear_equation |
11,998 | arithmetic | easy | What is 27310 divided by 87? Give answer to 2 decimal places. | 313.91 | Calculate 27310/ 87 = 313.9080, rounded to 2 decimals is 313.91. | division |
11,999 | word_problems | easy | If you have 6 apples and you buy 14 more apples, how many apples do you have in total? | 20 | Add initial 6 plus bought 14: 6+14=20. | addition_word |
12,000 | arithmetic | easy | What is 571 + 64 * 68? Remember order of operations. | 4923 | Order of operations (PEMDAS): first 64*68=4352, then 571+4352=4923. | basic_operations |
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