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 |
|---|---|---|---|---|---|---|
901 | 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 |
902 | number_theory | medium | What is the LCM (least common multiple) of 76 and 4? | 76 | LCM = |76*4| / GCD(76,4). GCD=4, so LCM=304/4=76. | lcm |
903 | algebra | easy | Solve for x: 19x - 26 = 183 | 11 | Add 26 to both sides: 19x = 183+26=209. Then x = 209/19 = 11. | linear_equation |
904 | exponents | easy | What is 4^5? | 1024 | 4^5 means multiply 4 by itself 5 times: 4*4*4*4*4 = 1024. | exponents |
905 | arithmetic | easy | What is 29 * 3? | 87 | Multiply: 29 * 3 = 87. | basic_operations |
906 | arithmetic | easy | What is 340 + 940? | 1280 | Add the two numbers: 340 + 940 = 1280. | basic_operations |
907 | roots | easy | What is the square root of 2116? | 46 | Find number that when squared gives 2116. 46*46=2116, so sqrt(2116)=46. | square_roots |
908 | algebra | medium | Solve for x: x^2 + 9x = 0 | x = 0, -9 | Factor: (x - 0)(x - -9) = x^2 -(-9)x + 0 = 0. So x = 0 or -9. Check sum = -9, product = 0. | quadratic |
909 | arithmetic | easy | What is 152 + 601? | 753 | Add the two numbers: 152 + 601 = 753. | basic_operations |
910 | number_theory | medium | What is the LCM (least common multiple) of 10 and 48? | 240 | LCM = |10*48| / GCD(10,48). GCD=2, so LCM=480/2=240. | lcm |
911 | arithmetic | easy | What is 6975 / 45? | 155 | Divide: 6975 ÷ 45 = 155 because 45*155=6975. | division |
912 | algebra | medium | Solve for x: x^2 - 13x + 30 = 0 | x = 3, 10 | Factor: (x - 3)(x - 10) = x^2 -(13)x + 30 = 0. So x = 3 or 10. Check sum = 13, product = 30. | quadratic |
913 | statistics | easy | What is the mean (average) of 41, 23, 91, 72, 89? | 63.2 | Mean = sum/count. Sum = 41+23+91+72+89=316. Count=5. Mean=316/5=63.2. | mean |
914 | number_theory | medium | What is the GCD (greatest common divisor) of 29 and 86? | 1 | Find greatest number dividing both 29 and 86. Divisors common, greatest is 1. | gcd |
915 | calculus | medium | What is the derivative of 5x^4 with respect to x? | 20x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^4] = 5*4*x^3 = 20x^3. | derivative |
916 | algebra | easy | Solve for x: 6x + 43 = -77 | -20 | Subtract 43 from both sides: 6x = -77-43=-120. Then divide by 6: x = -120/6 = -20. | linear_equation |
917 | calculus | medium | What is the derivative of 10x^8 with respect to x? | 80x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^8] = 10*8*x^7 = 80x^7. | derivative |
918 | arithmetic | easy | What is 29 * 82? | 2378 | Multiply: 29 * 82 = 2378. | basic_operations |
919 | statistics | easy | What is the mean (average) of 43, 96, 10? | 49.67 | Mean = sum/count. Sum = 43+96+10=149. Count=3. Mean=149/3=49.67. | mean |
920 | percentages | easy | What is 45% of 328? | 147.6 | Calculate 45/100 * 328 = 0.45*328 = 147.6. | percentages |
921 | 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 |
922 | roots | easy | What is the square root of 841? | 29 | Find number that when squared gives 841. 29*29=841, so sqrt(841)=29. | square_roots |
923 | arithmetic | easy | What is 9 + 45 * 32? Remember order of operations. | 1449 | Order of operations (PEMDAS): first 45*32=1440, then 9+1440=1449. | basic_operations |
924 | arithmetic | easy | What is 101 divided by 94? Give answer to 2 decimal places. | 1.07 | Calculate 101/ 94 = 1.0745, rounded to 2 decimals is 1.07. | division |
925 | word_problems | easy | If you have 98 books and you buy 27 more books, how many books do you have in total? | 125 | Add initial 98 plus bought 27: 98+27=125. | addition_word |
926 | 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 |
927 | 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 |
928 | 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 |
929 | percentages | easy | What is 21% of 463? | 97.23 | Calculate 21/100 * 463 = 0.21*463 = 97.23. | percentages |
930 | arithmetic | easy | What is 867 + 819 * 5? Remember order of operations. | 4962 | Order of operations (PEMDAS): first 819*5=4095, then 867+4095=4962. | basic_operations |
931 | geometry | easy | Find the area of a rectangle with length 10 and width 44. | 440 | Area = length * width = 10*44 = 440. | rectangle_area |
932 | algebra | medium | Solve for x: x^2 + 3x - 10 = 0 | x = 2, -5 | Factor: (x - 2)(x - -5) = x^2 -(-3)x + -10 = 0. So x = 2 or -5. Check sum = -3, product = -10. | quadratic |
933 | arithmetic | easy | What is 965 - 561? | 404 | Subtract: 965 - 561 = 404. | basic_operations |
934 | statistics | easy | What is the mean (average) of 4, 56, 84, 22, 78? | 48.8 | Mean = sum/count. Sum = 4+56+84+22+78=244. Count=5. Mean=244/5=48.8. | mean |
935 | 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 |
936 | arithmetic | easy | What is 104 + 340? | 444 | Add the two numbers: 104 + 340 = 444. | basic_operations |
937 | geometry | easy | Find the area of a circle with radius 20. Use pi=3.14159, round to 2 decimals. | 1256.64 | Area = pi*r^2 = 3.14159*20^2 = 3.14159*400 = 1256.64. | circle_area |
938 | percentages | easy | What is 13% of 51? | 6.63 | Calculate 13/100 * 51 = 0.13*51 = 6.63. | percentages |
939 | calculus | medium | What is the derivative of 9x^6 with respect to x? | 54x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^6] = 9*6*x^5 = 54x^5. | derivative |
940 | statistics | easy | What is the mean (average) of 7, 47, 1? | 18.33 | Mean = sum/count. Sum = 7+47+1=55. Count=3. Mean=55/3=18.33. | mean |
941 | 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 |
942 | exponents | easy | What is 12^5? | 248832 | 12^5 means multiply 12 by itself 5 times: 12*12*12*12*12 = 248832. | exponents |
943 | fractions | medium | What is 4/2 * 7/7? Give as simplified fraction. | 2 | Multiply numerators: 4*7=28. Denominators: 2*7=14. Simplify by gcd 14 to get 2. | fraction_operations |
944 | exponents | easy | What is 3^5? | 243 | 3^5 means multiply 3 by itself 5 times: 3*3*3*3*3 = 243. | exponents |
945 | arithmetic | easy | What is 16508 divided by 41? Give answer to 2 decimal places. | 402.63 | Calculate 16508/ 41 = 402.6341, rounded to 2 decimals is 402.63. | division |
946 | statistics | easy | What is the mean (average) of 34, 12, 83, 70, 50? | 49.8 | Mean = sum/count. Sum = 34+12+83+70+50=249. Count=5. Mean=249/5=49.8. | mean |
947 | algebra | medium | Solve for x: x^2 - 3x + 2 = 0 | x = 1, 2 | Factor: (x - 1)(x - 2) = x^2 -(3)x + 2 = 0. So x = 1 or 2. Check sum = 3, product = 2. | quadratic |
948 | number_theory | medium | What is the GCD (greatest common divisor) of 24 and 58? | 2 | Find greatest number dividing both 24 and 58. Divisors common, greatest is 2. | gcd |
949 | 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 |
950 | geometry | easy | Find the perimeter of a rectangle with length 35 and width 73. | 216 | Perimeter = 2*(length+width) = 2*(35+73) = 2*108 = 216. | rectangle_perim |
951 | arithmetic | easy | What is 13 * 11? | 143 | Multiply: 13 * 11 = 143. | basic_operations |
952 | 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 |
953 | percentages | easy | What is 71% of 63? | 44.73 | Calculate 71/100 * 63 = 0.71*63 = 44.73. | percentages |
954 | 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 |
955 | 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 |
956 | statistics | easy | What is the mean (average) of 31, 61, 39, 11, 51? | 38.6 | Mean = sum/count. Sum = 31+61+39+11+51=193. Count=5. Mean=193/5=38.6. | mean |
957 | arithmetic | easy | What is 87 + 80 * 67? Remember order of operations. | 5447 | Order of operations (PEMDAS): first 80*67=5360, then 87+5360=5447. | basic_operations |
958 | word_problems | easy | If you have 27 books and you buy 11 more books, how many books do you have in total? | 38 | Add initial 27 plus bought 11: 27+11=38. | addition_word |
959 | fractions | medium | What is 5/3 * 14/4? Give as simplified fraction. | 35/6 | Multiply numerators: 5*14=70. Denominators: 3*4=12. Simplify by gcd 2 to get 35/6. | fraction_operations |
960 | 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 |
961 | algebra | easy | Solve for x: 20x - 17 = -17 | 0 | Add 17 to both sides: 20x = -17+17=0. Then x = 0/20 = 0. | linear_equation |
962 | arithmetic | easy | What is 398 - 90? | 308 | Subtract: 398 - 90 = 308. | basic_operations |
963 | geometry | easy | Find the area of a triangle with base 59 and height 2. | 59 | Area = 0.5*base*height = 0.5*59*2 = 59. | triangle_area |
964 | 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 |
965 | 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 |
966 | algebra | easy | Solve for x: 19x + 25 = 348 | 17 | Subtract 25 from both sides: 19x = 348-25=323. Then divide by 19: x = 323/19 = 17. | linear_equation |
967 | arithmetic | easy | What is 4335 / 15? | 289 | Divide: 4335 ÷ 15 = 289 because 15*289=4335. | division |
968 | exponents | easy | What is 10^4? | 10000 | 10^4 means multiply 10 by itself 4 times: 10*10*10*10 = 10000. | exponents |
969 | 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 |
970 | calculus | medium | What is the derivative of 8x^7 with respect to x? | 56x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^7] = 8*7*x^6 = 56x^6. | derivative |
971 | statistics | easy | What is the mean (average) of 23, 36, 52? | 37 | Mean = sum/count. Sum = 23+36+52=111. Count=3. Mean=111/3=37.0. | mean |
972 | algebra | easy | Solve for x: 20x + 27 = 127 | 5 | Subtract 27 from both sides: 20x = 127-27=100. Then divide by 20: x = 100/20 = 5. | linear_equation |
973 | arithmetic | easy | What is 31 * 7? | 217 | Multiply: 31 * 7 = 217. | basic_operations |
974 | geometry | easy | Find the area of a circle with radius 2. Use pi=3.14159, round to 2 decimals. | 12.57 | Area = pi*r^2 = 3.14159*2^2 = 3.14159*4 = 12.57. | circle_area |
975 | 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 |
976 | exponents | easy | What is 6^5? | 7776 | 6^5 means multiply 6 by itself 5 times: 6*6*6*6*6 = 7776. | exponents |
977 | arithmetic | easy | What is 2149 divided by 31? Give answer to 2 decimal places. | 69.32 | Calculate 2149/ 31 = 69.3226, rounded to 2 decimals is 69.32. | division |
978 | roots | easy | What is the square root of 324? | 18 | Find number that when squared gives 324. 18*18=324, so sqrt(324)=18. | square_roots |
979 | 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 |
980 | arithmetic | easy | What is 453 - 193? | 260 | Subtract: 453 - 193 = 260. | basic_operations |
981 | number_theory | medium | What is the GCD (greatest common divisor) of 8 and 66? | 2 | Find greatest number dividing both 8 and 66. Divisors common, greatest is 2. | gcd |
982 | arithmetic | easy | What is 727 + 319 * 65? Remember order of operations. | 21462 | Order of operations (PEMDAS): first 319*65=20735, then 727+20735=21462. | basic_operations |
983 | arithmetic | easy | What is 178 + 198 * 26? Remember order of operations. | 5326 | Order of operations (PEMDAS): first 198*26=5148, then 178+5148=5326. | basic_operations |
984 | word_problems | easy | If you have 11 books and you buy 24 more books, how many books do you have in total? | 35 | Add initial 11 plus bought 24: 11+24=35. | addition_word |
985 | geometry | easy | Find the area of a circle with radius 30. Use pi=3.14159, round to 2 decimals. | 2827.43 | Area = pi*r^2 = 3.14159*30^2 = 3.14159*900 = 2827.43. | circle_area |
986 | calculus | medium | What is the derivative of 2x^7 with respect to x? | 14x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^7] = 2*7*x^6 = 14x^6. | derivative |
987 | arithmetic | easy | What is 58 * 23? | 1334 | Multiply: 58 * 23 = 1334. | basic_operations |
988 | statistics | easy | What is the mean (average) of 71, 45, 45, 21, 34? | 43.2 | Mean = sum/count. Sum = 71+45+45+21+34=216. Count=5. Mean=216/5=43.2. | mean |
989 | arithmetic | easy | What is 292 + 29 * 50? Remember order of operations. | 1742 | Order of operations (PEMDAS): first 29*50=1450, then 292+1450=1742. | basic_operations |
990 | fractions | medium | What is 8/9 * 7/10? Give as simplified fraction. | 28/45 | Multiply numerators: 8*7=56. Denominators: 9*10=90. Simplify by gcd 2 to get 28/45. | fraction_operations |
991 | 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 |
992 | arithmetic | easy | What is 2 * 61? | 122 | Multiply: 2 * 61 = 122. | basic_operations |
993 | 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 |
994 | percentages | easy | What is 33% of 623? | 205.59 | Calculate 33/100 * 623 = 0.33*623 = 205.59. | percentages |
995 | exponents | easy | What is 12^4? | 20736 | 12^4 means multiply 12 by itself 4 times: 12*12*12*12 = 20736. | exponents |
996 | 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 |
997 | number_theory | medium | What is the GCD (greatest common divisor) of 59 and 33? | 1 | Find greatest number dividing both 59 and 33. Divisors common, greatest is 1. | gcd |
998 | word_problems | easy | If you have 43 pencils and you buy 44 more pencils, how many pencils do you have in total? | 87 | Add initial 43 plus bought 44: 43+44=87. | addition_word |
999 | calculus | medium | What is the derivative of 2x^6 with respect to x? | 12x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^6] = 2*6*x^5 = 12x^5. | derivative |
1,000 | arithmetic | easy | What is 83 * 77? | 6391 | Multiply: 83 * 77 = 6391. | basic_operations |
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