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 |
|---|---|---|---|---|---|---|
7,801 | 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 |
7,802 | algebra | easy | Solve for x: 17x - 4 = -310 | -18 | Add 4 to both sides: 17x = -310+4=-306. Then x = -306/17 = -18. | linear_equation |
7,803 | algebra | medium | Solve for x: x^2 + 7x - 8 = 0 | x = -8, 1 | Factor: (x - -8)(x - 1) = x^2 -(-7)x + -8 = 0. So x = -8 or 1. Check sum = -7, product = -8. | quadratic |
7,804 | 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 |
7,805 | fractions | medium | What is 18/9 - 1/17? Give as simplified fraction. | 33/17 | Common denominator 153. Numerator 306-9=297. So 297/153 simplifies to 33/17. | fraction_operations |
7,806 | 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 |
7,807 | algebra | easy | Solve for x: 3x - 30 = -18 | 4 | Add 30 to both sides: 3x = -18+30=12. Then x = 12/3 = 4. | linear_equation |
7,808 | algebra | medium | Solve for x: x^2 - 1x - 6 = 0 | x = 3, -2 | Factor: (x - 3)(x - -2) = x^2 -(1)x + -6 = 0. So x = 3 or -2. Check sum = 1, product = -6. | quadratic |
7,809 | fractions | medium | What is 20/13 * 13/17? Give as simplified fraction. | 20/17 | Multiply numerators: 20*13=260. Denominators: 13*17=221. Simplify by gcd 13 to get 20/17. | fraction_operations |
7,810 | geometry | easy | Find the area of a circle with radius 48. Use pi=3.14159, round to 2 decimals. | 7238.23 | Area = pi*r^2 = 3.14159*48^2 = 3.14159*2304 = 7238.23. | circle_area |
7,811 | calculus | medium | What is the derivative of 8x^2 with respect to x? | 16x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^2] = 8*2*x^1 = 16x. | derivative |
7,812 | arithmetic | easy | What is 852 + 493? | 1345 | Add the two numbers: 852 + 493 = 1345. | basic_operations |
7,813 | arithmetic | easy | What is 20470 divided by 79? Give answer to 2 decimal places. | 259.11 | Calculate 20470/ 79 = 259.1139, rounded to 2 decimals is 259.11. | division |
7,814 | statistics | easy | What is the mean (average) of 48, 9, 20, 74? | 37.75 | Mean = sum/count. Sum = 48+9+20+74=151. Count=4. Mean=151/4=37.75. | mean |
7,815 | geometry | easy | Find the area of a circle with radius 7. Use pi=3.14159, round to 2 decimals. | 153.94 | Area = pi*r^2 = 3.14159*7^2 = 3.14159*49 = 153.94. | circle_area |
7,816 | exponents | easy | What is 11^3? | 1331 | 11^3 means multiply 11 by itself 3 times: 11*11*11 = 1331. | exponents |
7,817 | roots | easy | What is the square root of 196? | 14 | Find number that when squared gives 196. 14*14=196, so sqrt(196)=14. | square_roots |
7,818 | arithmetic | easy | What is 26320 / 56? | 470 | Divide: 26320 ÷ 56 = 470 because 56*470=26320. | division |
7,819 | percentages | easy | What is 67% of 800? | 536 | Calculate 67/100 * 800 = 0.67*800 = 536. | percentages |
7,820 | roots | easy | What is the square root of 1849? | 43 | Find number that when squared gives 1849. 43*43=1849, so sqrt(1849)=43. | square_roots |
7,821 | statistics | easy | What is the mean (average) of 57, 57, 56, 45? | 53.75 | Mean = sum/count. Sum = 57+57+56+45=215. Count=4. Mean=215/4=53.75. | mean |
7,822 | 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 |
7,823 | arithmetic | easy | What is 493 - 20? | 473 | Subtract: 493 - 20 = 473. | basic_operations |
7,824 | geometry | easy | Find the perimeter of a rectangle with length 82 and width 40. | 244 | Perimeter = 2*(length+width) = 2*(82+40) = 2*122 = 244. | rectangle_perim |
7,825 | percentages | easy | What is 99% of 443? | 438.57 | Calculate 99/100 * 443 = 0.99*443 = 438.57. | percentages |
7,826 | statistics | easy | What is the mean (average) of 64, 14, 44, 53, 73? | 49.6 | Mean = sum/count. Sum = 64+14+44+53+73=248. Count=5. Mean=248/5=49.6. | mean |
7,827 | algebra | medium | Solve for x: x^2 + 16x + 60 = 0 | x = -6, -10 | Factor: (x - -6)(x - -10) = x^2 -(-16)x + 60 = 0. So x = -6 or -10. Check sum = -16, product = 60. | quadratic |
7,828 | geometry | easy | Find the area of a triangle with base 7 and height 63. | 220.5 | Area = 0.5*base*height = 0.5*7*63 = 220.5. | triangle_area |
7,829 | 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 |
7,830 | exponents | easy | What is 3^4? | 81 | 3^4 means multiply 3 by itself 4 times: 3*3*3*3 = 81. | exponents |
7,831 | fractions | medium | What is 12/20 + 15/16? Give as simplified fraction. | 123/80 | Common denominator 20*16=320. 12/20=192/320, 15/16=300/320. Sum = 492/320 = 123/80 simplified. | fraction_operations |
7,832 | arithmetic | easy | What is 680 + 49? | 729 | Add the two numbers: 680 + 49 = 729. | basic_operations |
7,833 | geometry | easy | Find the circumference of a circle with radius 30. Use pi=3.14159, round to 2 decimals. | 188.5 | Circumference = 2*pi*r = 2*3.14159*30 = 188.5. | circle_circum |
7,834 | percentages | easy | What is 99% of 295? | 292.05 | Calculate 99/100 * 295 = 0.99*295 = 292.05. | percentages |
7,835 | geometry | easy | Find the perimeter of a rectangle with length 85 and width 10. | 190 | Perimeter = 2*(length+width) = 2*(85+10) = 2*95 = 190. | rectangle_perim |
7,836 | geometry | easy | Find the area of a triangle with base 62 and height 18. | 558 | Area = 0.5*base*height = 0.5*62*18 = 558. | triangle_area |
7,837 | algebra | medium | Solve for x: x^2 - 2x + 1 = 0 | x = 1 | Factor as (x - 1)^2 = 0, so root is 1 (double root). Sum of roots = 2, product = 1. | quadratic |
7,838 | word_problems | easy | If you have 69 candies and you buy 22 more candies, how many candies do you have in total? | 91 | Add initial 69 plus bought 22: 69+22=91. | addition_word |
7,839 | geometry | easy | Find the area of a rectangle with length 29 and width 44. | 1276 | Area = length * width = 29*44 = 1276. | rectangle_area |
7,840 | geometry | easy | Find the circumference of a circle with radius 20. Use pi=3.14159, round to 2 decimals. | 125.66 | Circumference = 2*pi*r = 2*3.14159*20 = 125.66. | circle_circum |
7,841 | arithmetic | easy | What is 14248 / 52? | 274 | Divide: 14248 ÷ 52 = 274 because 52*274=14248. | division |
7,842 | word_problems | easy | If you have 32 dollars and you buy 40 more dollars, how many dollars do you have in total? | 72 | Add initial 32 plus bought 40: 32+40=72. | addition_word |
7,843 | algebra | easy | Solve for x: 8x - 32 = 80 | 14 | Add 32 to both sides: 8x = 80+32=112. Then x = 112/8 = 14. | linear_equation |
7,844 | number_theory | medium | What is the GCD (greatest common divisor) of 48 and 45? | 3 | Find greatest number dividing both 48 and 45. Divisors common, greatest is 3. | gcd |
7,845 | number_theory | medium | What is the LCM (least common multiple) of 63 and 96? | 2016 | LCM = |63*96| / GCD(63,96). GCD=3, so LCM=6048/3=2016. | lcm |
7,846 | statistics | easy | What is the mean (average) of 65, 13, 84, 53? | 53.75 | Mean = sum/count. Sum = 65+13+84+53=215. Count=4. Mean=215/4=53.75. | mean |
7,847 | 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 |
7,848 | geometry | easy | Find the area of a rectangle with length 100 and width 25. | 2500 | Area = length * width = 100*25 = 2500. | rectangle_area |
7,849 | 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 |
7,850 | percentages | easy | What is 28% of 760? | 212.8 | Calculate 28/100 * 760 = 0.28*760 = 212.8. | percentages |
7,851 | exponents | easy | What is 9^2? | 81 | 9^2 means multiply 9 by itself 2 times: 9*9 = 81. | exponents |
7,852 | exponents | easy | What is 2^5? | 32 | 2^5 means multiply 2 by itself 5 times: 2*2*2*2*2 = 32. | exponents |
7,853 | arithmetic | easy | What is 7004 / 34? | 206 | Divide: 7004 ÷ 34 = 206 because 34*206=7004. | division |
7,854 | geometry | easy | Find the circumference of a circle with radius 43. Use pi=3.14159, round to 2 decimals. | 270.18 | Circumference = 2*pi*r = 2*3.14159*43 = 270.18. | circle_circum |
7,855 | statistics | easy | What is the mean (average) of 89, 32, 38, 16, 72? | 49.4 | Mean = sum/count. Sum = 89+32+38+16+72=247. Count=5. Mean=247/5=49.4. | mean |
7,856 | number_theory | medium | What is the LCM (least common multiple) of 92 and 41? | 3772 | LCM = |92*41| / GCD(92,41). GCD=1, so LCM=3772/1=3772. | lcm |
7,857 | arithmetic | easy | What is 730 - 531? | 199 | Subtract: 730 - 531 = 199. | basic_operations |
7,858 | number_theory | medium | What is the LCM (least common multiple) of 92 and 99? | 9108 | LCM = |92*99| / GCD(92,99). GCD=1, so LCM=9108/1=9108. | lcm |
7,859 | arithmetic | easy | What is 126 + 473? | 599 | Add the two numbers: 126 + 473 = 599. | basic_operations |
7,860 | calculus | medium | What is the derivative of 1x^2 with respect to x? | 2x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^2] = 1*2*x^1 = 2x. | derivative |
7,861 | arithmetic | easy | What is 4 * 85? | 340 | Multiply: 4 * 85 = 340. | basic_operations |
7,862 | arithmetic | easy | What is 22275 divided by 58? Give answer to 2 decimal places. | 384.05 | Calculate 22275/ 58 = 384.0517, rounded to 2 decimals is 384.05. | division |
7,863 | word_problems | easy | If you have 78 dollars and you buy 42 more dollars, how many dollars do you have in total? | 120 | Add initial 78 plus bought 42: 78+42=120. | addition_word |
7,864 | arithmetic | easy | What is 77 * 23? | 1771 | Multiply: 77 * 23 = 1771. | basic_operations |
7,865 | 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 |
7,866 | arithmetic | easy | What is 24076 / 52? | 463 | Divide: 24076 ÷ 52 = 463 because 52*463=24076. | division |
7,867 | arithmetic | easy | What is 39673 / 97? | 409 | Divide: 39673 ÷ 97 = 409 because 97*409=39673. | division |
7,868 | 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 |
7,869 | 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 |
7,870 | number_theory | medium | What is the LCM (least common multiple) of 26 and 55? | 1430 | LCM = |26*55| / GCD(26,55). GCD=1, so LCM=1430/1=1430. | lcm |
7,871 | percentages | easy | What is 48% of 901? | 432.48 | Calculate 48/100 * 901 = 0.48*901 = 432.48. | percentages |
7,872 | number_theory | medium | What is the LCM (least common multiple) of 91 and 68? | 6188 | LCM = |91*68| / GCD(91,68). GCD=1, so LCM=6188/1=6188. | lcm |
7,873 | arithmetic | easy | What is 501 + 60 * 59? Remember order of operations. | 4041 | Order of operations (PEMDAS): first 60*59=3540, then 501+3540=4041. | basic_operations |
7,874 | fractions | medium | What is 9/4 - 7/9? Give as simplified fraction. | 53/36 | Common denominator 36. Numerator 81-28=53. So 53/36 simplifies to 53/36. | fraction_operations |
7,875 | arithmetic | easy | What is 9800 / 98? | 100 | Divide: 9800 ÷ 98 = 100 because 98*100=9800. | division |
7,876 | arithmetic | easy | What is 60 + 40 * 7? Remember order of operations. | 340 | Order of operations (PEMDAS): first 40*7=280, then 60+280=340. | basic_operations |
7,877 | exponents | easy | What is 11^3? | 1331 | 11^3 means multiply 11 by itself 3 times: 11*11*11 = 1331. | exponents |
7,878 | 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 |
7,879 | percentages | easy | What is 41% of 492? | 201.72 | Calculate 41/100 * 492 = 0.41*492 = 201.72. | percentages |
7,880 | 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 |
7,881 | arithmetic | easy | What is 3 * 26? | 78 | Multiply: 3 * 26 = 78. | basic_operations |
7,882 | arithmetic | easy | What is 93 * 30? | 2790 | Multiply: 93 * 30 = 2790. | basic_operations |
7,883 | 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 |
7,884 | number_theory | medium | What is the LCM (least common multiple) of 72 and 20? | 360 | LCM = |72*20| / GCD(72,20). GCD=4, so LCM=1440/4=360. | lcm |
7,885 | arithmetic | easy | What is 526 + 179? | 705 | Add the two numbers: 526 + 179 = 705. | basic_operations |
7,886 | 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 |
7,887 | statistics | easy | What is the mean (average) of 34, 91, 100, 9, 19? | 50.6 | Mean = sum/count. Sum = 34+91+100+9+19=253. Count=5. Mean=253/5=50.6. | mean |
7,888 | calculus | medium | What is the derivative of 10x^5 with respect to x? | 50x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^5] = 10*5*x^4 = 50x^4. | derivative |
7,889 | arithmetic | easy | What is 5395 / 13? | 415 | Divide: 5395 ÷ 13 = 415 because 13*415=5395. | division |
7,890 | fractions | medium | What is 6/4 - 9/7? Give as simplified fraction. | 3/14 | Common denominator 28. Numerator 42-36=6. So 6/28 simplifies to 3/14. | fraction_operations |
7,891 | algebra | medium | Solve for x: x^2 + 6x - 16 = 0 | x = 2, -8 | Factor: (x - 2)(x - -8) = x^2 -(-6)x + -16 = 0. So x = 2 or -8. Check sum = -6, product = -16. | quadratic |
7,892 | arithmetic | easy | What is 19076 / 76? | 251 | Divide: 19076 ÷ 76 = 251 because 76*251=19076. | division |
7,893 | 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 |
7,894 | exponents | easy | What is 8^4? | 4096 | 8^4 means multiply 8 by itself 4 times: 8*8*8*8 = 4096. | exponents |
7,895 | word_problems | easy | If you have 38 dollars and you buy 41 more dollars, how many dollars do you have in total? | 79 | Add initial 38 plus bought 41: 38+41=79. | addition_word |
7,896 | calculus | medium | What is the derivative of 4x^4 with respect to x? | 16x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^4] = 4*4*x^3 = 16x^3. | derivative |
7,897 | algebra | medium | Solve for x: x^2 - 1x = 0 | x = 1, 0 | Factor: (x - 1)(x - 0) = x^2 -(1)x + 0 = 0. So x = 1 or 0. Check sum = 1, product = 0. | quadratic |
7,898 | geometry | easy | Find the area of a circle with radius 5. Use pi=3.14159, round to 2 decimals. | 78.54 | Area = pi*r^2 = 3.14159*5^2 = 3.14159*25 = 78.54. | circle_area |
7,899 | arithmetic | easy | What is 3400 / 68? | 50 | Divide: 3400 ÷ 68 = 50 because 68*50=3400. | division |
7,900 | fractions | medium | What is 13/16 + 7/18? Give as simplified fraction. | 173/144 | Common denominator 16*18=288. 13/16=234/288, 7/18=112/288. Sum = 346/288 = 173/144 simplified. | fraction_operations |
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