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 |
|---|---|---|---|---|---|---|
13,801 | 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 |
13,802 | arithmetic | easy | What is 794 - 421? | 373 | Subtract: 794 - 421 = 373. | basic_operations |
13,803 | roots | easy | What is the square root of 25? | 5 | Find number that when squared gives 25. 5*5=25, so sqrt(25)=5. | square_roots |
13,804 | calculus | medium | What is the derivative of 7x^5 with respect to x? | 35x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^5] = 7*5*x^4 = 35x^4. | derivative |
13,805 | number_theory | medium | What is the GCD (greatest common divisor) of 46 and 80? | 2 | Find greatest number dividing both 46 and 80. Divisors common, greatest is 2. | gcd |
13,806 | calculus | medium | What is the derivative of 7x^8 with respect to x? | 56x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^8] = 7*8*x^7 = 56x^7. | derivative |
13,807 | word_problems | easy | If you have 56 books and you buy 4 more books, how many books do you have in total? | 60 | Add initial 56 plus bought 4: 56+4=60. | addition_word |
13,808 | algebra | easy | Solve for x: 7x - 2 = -23 | -3 | Add 2 to both sides: 7x = -23+2=-21. Then x = -21/7 = -3. | linear_equation |
13,809 | exponents | easy | What is 11^4? | 14641 | 11^4 means multiply 11 by itself 4 times: 11*11*11*11 = 14641. | exponents |
13,810 | arithmetic | easy | What is 4719 / 39? | 121 | Divide: 4719 ÷ 39 = 121 because 39*121=4719. | division |
13,811 | geometry | easy | Find the perimeter of a rectangle with length 88 and width 33. | 242 | Perimeter = 2*(length+width) = 2*(88+33) = 2*121 = 242. | rectangle_perim |
13,812 | algebra | easy | Solve for x: 10x + 27 = -113 | -14 | Subtract 27 from both sides: 10x = -113-27=-140. Then divide by 10: x = -140/10 = -14. | linear_equation |
13,813 | 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 |
13,814 | 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 |
13,815 | arithmetic | easy | What is 15600 / 65? | 240 | Divide: 15600 ÷ 65 = 240 because 65*240=15600. | division |
13,816 | geometry | easy | Find the perimeter of a rectangle with length 24 and width 19. | 86 | Perimeter = 2*(length+width) = 2*(24+19) = 2*43 = 86. | rectangle_perim |
13,817 | arithmetic | easy | What is 8725 / 25? | 349 | Divide: 8725 ÷ 25 = 349 because 25*349=8725. | division |
13,818 | arithmetic | easy | What is 37927 divided by 93? Give answer to 2 decimal places. | 407.82 | Calculate 37927/ 93 = 407.8172, rounded to 2 decimals is 407.82. | division |
13,819 | fractions | medium | What is 17/4 + 19/2? Give as simplified fraction. | 55/4 | Common denominator 4*2=8. 17/4=34/8, 19/2=76/8. Sum = 110/8 = 55/4 simplified. | fraction_operations |
13,820 | geometry | easy | Find the circumference of a circle with radius 14. Use pi=3.14159, round to 2 decimals. | 87.96 | Circumference = 2*pi*r = 2*3.14159*14 = 87.96. | circle_circum |
13,821 | arithmetic | easy | What is 10080 / 60? | 168 | Divide: 10080 ÷ 60 = 168 because 60*168=10080. | division |
13,822 | algebra | medium | Solve for x: x^2 - 9x + 8 = 0 | x = 8, 1 | Factor: (x - 8)(x - 1) = x^2 -(9)x + 8 = 0. So x = 8 or 1. Check sum = 9, product = 8. | quadratic |
13,823 | percentages | easy | What is 94% of 573? | 538.62 | Calculate 94/100 * 573 = 0.94*573 = 538.62. | percentages |
13,824 | 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 |
13,825 | fractions | medium | What is 8/7 + 16/5? Give as simplified fraction. | 152/35 | Common denominator 7*5=35. 8/7=40/35, 16/5=112/35. Sum = 152/35 = 152/35 simplified. | fraction_operations |
13,826 | exponents | easy | What is 7^3? | 343 | 7^3 means multiply 7 by itself 3 times: 7*7*7 = 343. | exponents |
13,827 | roots | easy | What is the square root of 36? | 6 | Find number that when squared gives 36. 6*6=36, so sqrt(36)=6. | square_roots |
13,828 | fractions | medium | What is 11/15 + 7/11? Give as simplified fraction. | 226/165 | Common denominator 15*11=165. 11/15=121/165, 7/11=105/165. Sum = 226/165 = 226/165 simplified. | fraction_operations |
13,829 | arithmetic | easy | What is 87 * 81? | 7047 | Multiply: 87 * 81 = 7047. | basic_operations |
13,830 | 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 |
13,831 | number_theory | medium | What is the GCD (greatest common divisor) of 34 and 58? | 2 | Find greatest number dividing both 34 and 58. Divisors common, greatest is 2. | gcd |
13,832 | number_theory | medium | What is the GCD (greatest common divisor) of 34 and 28? | 2 | Find greatest number dividing both 34 and 28. Divisors common, greatest is 2. | gcd |
13,833 | algebra | medium | Solve for x: x^2 + 1x = 0 | x = 0, -1 | Factor: (x - 0)(x - -1) = x^2 -(-1)x + 0 = 0. So x = 0 or -1. Check sum = -1, product = 0. | quadratic |
13,834 | arithmetic | easy | What is 26304 / 64? | 411 | Divide: 26304 ÷ 64 = 411 because 64*411=26304. | division |
13,835 | algebra | easy | Solve for x: 2x + 0 = 28 | 14 | Subtract 0 from both sides: 2x = 28-0=28. Then divide by 2: x = 28/2 = 14. | linear_equation |
13,836 | algebra | easy | Solve for x: 19x + 32 = 355 | 17 | Subtract 32 from both sides: 19x = 355-32=323. Then divide by 19: x = 323/19 = 17. | linear_equation |
13,837 | geometry | easy | Find the area of a circle with radius 50. Use pi=3.14159, round to 2 decimals. | 7853.98 | Area = pi*r^2 = 3.14159*50^2 = 3.14159*2500 = 7853.98. | circle_area |
13,838 | arithmetic | easy | What is 952 - 178? | 774 | Subtract: 952 - 178 = 774. | basic_operations |
13,839 | arithmetic | easy | What is 25168 / 88? | 286 | Divide: 25168 ÷ 88 = 286 because 88*286=25168. | division |
13,840 | arithmetic | easy | What is 762 - 438? | 324 | Subtract: 762 - 438 = 324. | basic_operations |
13,841 | fractions | medium | What is 4/11 * 11/9? Give as simplified fraction. | 4/9 | Multiply numerators: 4*11=44. Denominators: 11*9=99. Simplify by gcd 11 to get 4/9. | fraction_operations |
13,842 | 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 |
13,843 | arithmetic | easy | What is 3041 divided by 27? Give answer to 2 decimal places. | 112.63 | Calculate 3041/ 27 = 112.6296, rounded to 2 decimals is 112.63. | division |
13,844 | arithmetic | easy | What is 6390 / 30? | 213 | Divide: 6390 ÷ 30 = 213 because 30*213=6390. | division |
13,845 | calculus | medium | What is the derivative of 7x^2 with respect to x? | 14x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^2] = 7*2*x^1 = 14x. | derivative |
13,846 | arithmetic | easy | What is 23688 / 56? | 423 | Divide: 23688 ÷ 56 = 423 because 56*423=23688. | division |
13,847 | geometry | easy | Find the perimeter of a rectangle with length 29 and width 58. | 174 | Perimeter = 2*(length+width) = 2*(29+58) = 2*87 = 174. | rectangle_perim |
13,848 | arithmetic | easy | What is 31 * 49? | 1519 | Multiply: 31 * 49 = 1519. | basic_operations |
13,849 | algebra | easy | Solve for x: 16x + 39 = -25 | -4 | Subtract 39 from both sides: 16x = -25-39=-64. Then divide by 16: x = -64/16 = -4. | linear_equation |
13,850 | statistics | easy | What is the mean (average) of 54, 78, 97? | 76.33 | Mean = sum/count. Sum = 54+78+97=229. Count=3. Mean=229/3=76.33. | mean |
13,851 | 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 |
13,852 | arithmetic | easy | What is 24300 / 60? | 405 | Divide: 24300 ÷ 60 = 405 because 60*405=24300. | division |
13,853 | arithmetic | easy | What is 99 + 58 * 50? Remember order of operations. | 2999 | Order of operations (PEMDAS): first 58*50=2900, then 99+2900=2999. | basic_operations |
13,854 | 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 |
13,855 | algebra | easy | Solve for x: 2x - 16 = -46 | -15 | Add 16 to both sides: 2x = -46+16=-30. Then x = -30/2 = -15. | linear_equation |
13,856 | 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 |
13,857 | fractions | medium | What is 3/5 * 13/16? Give as simplified fraction. | 39/80 | Multiply numerators: 3*13=39. Denominators: 5*16=80. Simplify by gcd 1 to get 39/80. | fraction_operations |
13,858 | word_problems | easy | If you have 45 pencils and you buy 48 more pencils, how many pencils do you have in total? | 93 | Add initial 45 plus bought 48: 45+48=93. | addition_word |
13,859 | calculus | medium | What is the derivative of 5x^7 with respect to x? | 35x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^7] = 5*7*x^6 = 35x^6. | derivative |
13,860 | statistics | easy | What is the mean (average) of 2, 100, 15, 78? | 48.75 | Mean = sum/count. Sum = 2+100+15+78=195. Count=4. Mean=195/4=48.75. | mean |
13,861 | algebra | easy | Solve for x: 12x - 6 = -66 | -5 | Add 6 to both sides: 12x = -66+6=-60. Then x = -60/12 = -5. | linear_equation |
13,862 | arithmetic | easy | What is 29441 / 59? | 499 | Divide: 29441 ÷ 59 = 499 because 59*499=29441. | division |
13,863 | arithmetic | easy | What is 401 + 267 * 14? Remember order of operations. | 4139 | Order of operations (PEMDAS): first 267*14=3738, then 401+3738=4139. | basic_operations |
13,864 | percentages | easy | What is 70% of 866? | 606.2 | Calculate 70/100 * 866 = 0.7*866 = 606.2. | percentages |
13,865 | geometry | easy | Find the area of a rectangle with length 30 and width 78. | 2340 | Area = length * width = 30*78 = 2340. | rectangle_area |
13,866 | word_problems | easy | If you have 21 candies and you buy 25 more candies, how many candies do you have in total? | 46 | Add initial 21 plus bought 25: 21+25=46. | addition_word |
13,867 | 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 |
13,868 | number_theory | medium | What is the GCD (greatest common divisor) of 57 and 54? | 3 | Find greatest number dividing both 57 and 54. Divisors common, greatest is 3. | gcd |
13,869 | exponents | easy | What is 3^4? | 81 | 3^4 means multiply 3 by itself 4 times: 3*3*3*3 = 81. | exponents |
13,870 | algebra | easy | Solve for x: 12x + 34 = -170 | -17 | Subtract 34 from both sides: 12x = -170-34=-204. Then divide by 12: x = -204/12 = -17. | linear_equation |
13,871 | number_theory | medium | What is the LCM (least common multiple) of 51 and 26? | 1326 | LCM = |51*26| / GCD(51,26). GCD=1, so LCM=1326/1=1326. | lcm |
13,872 | arithmetic | easy | What is 42 * 21? | 882 | Multiply: 42 * 21 = 882. | basic_operations |
13,873 | algebra | medium | Solve for x: x^2 + 11x + 28 = 0 | x = -4, -7 | Factor: (x - -4)(x - -7) = x^2 -(-11)x + 28 = 0. So x = -4 or -7. Check sum = -11, product = 28. | quadratic |
13,874 | fractions | medium | What is 5/15 + 16/18? Give as simplified fraction. | 11/9 | Common denominator 15*18=270. 5/15=90/270, 16/18=240/270. Sum = 330/270 = 11/9 simplified. | fraction_operations |
13,875 | exponents | easy | What is 5^4? | 625 | 5^4 means multiply 5 by itself 4 times: 5*5*5*5 = 625. | exponents |
13,876 | number_theory | medium | What is the GCD (greatest common divisor) of 80 and 75? | 5 | Find greatest number dividing both 80 and 75. Divisors common, greatest is 5. | gcd |
13,877 | word_problems | easy | If you have 64 books and you buy 27 more books, how many books do you have in total? | 91 | Add initial 64 plus bought 27: 64+27=91. | addition_word |
13,878 | number_theory | medium | What is the GCD (greatest common divisor) of 66 and 51? | 3 | Find greatest number dividing both 66 and 51. Divisors common, greatest is 3. | gcd |
13,879 | algebra | easy | Solve for x: 11x + 41 = 8 | -3 | Subtract 41 from both sides: 11x = 8-41=-33. Then divide by 11: x = -33/11 = -3. | linear_equation |
13,880 | percentages | easy | What is 63% of 709? | 446.67 | Calculate 63/100 * 709 = 0.63*709 = 446.67. | percentages |
13,881 | 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 |
13,882 | 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 |
13,883 | 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 |
13,884 | arithmetic | easy | What is 2609 divided by 11? Give answer to 2 decimal places. | 237.18 | Calculate 2609/ 11 = 237.1818, rounded to 2 decimals is 237.18. | division |
13,885 | number_theory | medium | What is the LCM (least common multiple) of 28 and 82? | 1148 | LCM = |28*82| / GCD(28,82). GCD=2, so LCM=2296/2=1148. | lcm |
13,886 | 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 |
13,887 | fractions | medium | What is 20/10 - 12/3? Give as simplified fraction. | -2 | Common denominator 30. Numerator 60-120=-60. So -60/30 simplifies to -2. | fraction_operations |
13,888 | roots | easy | What is the square root of 1089? | 33 | Find number that when squared gives 1089. 33*33=1089, so sqrt(1089)=33. | square_roots |
13,889 | algebra | easy | Solve for x: 20x - 17 = 263 | 14 | Add 17 to both sides: 20x = 263+17=280. Then x = 280/20 = 14. | linear_equation |
13,890 | 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 |
13,891 | arithmetic | easy | What is 622 - 588? | 34 | Subtract: 622 - 588 = 34. | basic_operations |
13,892 | roots | easy | What is the square root of 441? | 21 | Find number that when squared gives 441. 21*21=441, so sqrt(441)=21. | square_roots |
13,893 | geometry | easy | Find the area of a rectangle with length 58 and width 75. | 4350 | Area = length * width = 58*75 = 4350. | rectangle_area |
13,894 | fractions | medium | What is 20/11 - 8/4? Give as simplified fraction. | -2/11 | Common denominator 44. Numerator 80-88=-8. So -8/44 simplifies to -2/11. | fraction_operations |
13,895 | arithmetic | easy | What is 2870 / 35? | 82 | Divide: 2870 ÷ 35 = 82 because 35*82=2870. | division |
13,896 | geometry | easy | Find the area of a circle with radius 47. Use pi=3.14159, round to 2 decimals. | 6939.78 | Area = pi*r^2 = 3.14159*47^2 = 3.14159*2209 = 6939.78. | circle_area |
13,897 | arithmetic | easy | What is 594 + 412 * 60? Remember order of operations. | 25314 | Order of operations (PEMDAS): first 412*60=24720, then 594+24720=25314. | basic_operations |
13,898 | algebra | easy | Solve for x: 18x - 4 = 194 | 11 | Add 4 to both sides: 18x = 194+4=198. Then x = 198/18 = 11. | linear_equation |
13,899 | geometry | easy | Find the area of a rectangle with length 40 and width 3. | 120 | Area = length * width = 40*3 = 120. | rectangle_area |
13,900 | number_theory | medium | What is the LCM (least common multiple) of 21 and 96? | 672 | LCM = |21*96| / GCD(21,96). GCD=3, so LCM=2016/3=672. | lcm |
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