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 |
|---|---|---|---|---|---|---|
1,801 | roots | easy | What is the square root of 1521? | 39 | Find number that when squared gives 1521. 39*39=1521, so sqrt(1521)=39. | square_roots |
1,802 | arithmetic | easy | What is 931 + 683 * 47? Remember order of operations. | 33032 | Order of operations (PEMDAS): first 683*47=32101, then 931+32101=33032. | basic_operations |
1,803 | 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 |
1,804 | calculus | medium | What is the derivative of 1x^4 with respect to x? | 4x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^4] = 1*4*x^3 = 4x^3. | derivative |
1,805 | exponents | easy | What is 7^4? | 2401 | 7^4 means multiply 7 by itself 4 times: 7*7*7*7 = 2401. | exponents |
1,806 | exponents | easy | What is 9^2? | 81 | 9^2 means multiply 9 by itself 2 times: 9*9 = 81. | exponents |
1,807 | fractions | medium | What is 15/15 + 15/11? Give as simplified fraction. | 26/11 | Common denominator 15*11=165. 15/15=165/165, 15/11=225/165. Sum = 390/165 = 26/11 simplified. | fraction_operations |
1,808 | 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 |
1,809 | 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 |
1,810 | arithmetic | easy | What is 213 - 148? | 65 | Subtract: 213 - 148 = 65. | basic_operations |
1,811 | 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 |
1,812 | 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 |
1,813 | 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 |
1,814 | geometry | easy | Find the circumference of a circle with radius 12. Use pi=3.14159, round to 2 decimals. | 75.4 | Circumference = 2*pi*r = 2*3.14159*12 = 75.4. | circle_circum |
1,815 | word_problems | easy | If you have 95 books and you buy 37 more books, how many books do you have in total? | 132 | Add initial 95 plus bought 37: 95+37=132. | addition_word |
1,816 | fractions | medium | What is 6/14 - 10/19? Give as simplified fraction. | -13/133 | Common denominator 266. Numerator 114-140=-26. So -26/266 simplifies to -13/133. | fraction_operations |
1,817 | arithmetic | easy | What is 39 * 64? | 2496 | Multiply: 39 * 64 = 2496. | basic_operations |
1,818 | word_problems | easy | If you have 33 apples and you buy 2 more apples, how many apples do you have in total? | 35 | Add initial 33 plus bought 2: 33+2=35. | addition_word |
1,819 | algebra | easy | Solve for x: 9x - 12 = 168 | 20 | Add 12 to both sides: 9x = 168+12=180. Then x = 180/9 = 20. | linear_equation |
1,820 | statistics | easy | What is the mean (average) of 84, 86, 37? | 69 | Mean = sum/count. Sum = 84+86+37=207. Count=3. Mean=207/3=69.0. | mean |
1,821 | 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 |
1,822 | statistics | easy | What is the mean (average) of 83, 32, 4, 16, 98? | 46.6 | Mean = sum/count. Sum = 83+32+4+16+98=233. Count=5. Mean=233/5=46.6. | mean |
1,823 | geometry | easy | Find the circumference of a circle with radius 5. Use pi=3.14159, round to 2 decimals. | 31.42 | Circumference = 2*pi*r = 2*3.14159*5 = 31.42. | circle_circum |
1,824 | number_theory | medium | What is the LCM (least common multiple) of 75 and 62? | 4650 | LCM = |75*62| / GCD(75,62). GCD=1, so LCM=4650/1=4650. | lcm |
1,825 | geometry | easy | Find the circumference of a circle with radius 45. Use pi=3.14159, round to 2 decimals. | 282.74 | Circumference = 2*pi*r = 2*3.14159*45 = 282.74. | circle_circum |
1,826 | arithmetic | easy | What is 12887 / 49? | 263 | Divide: 12887 ÷ 49 = 263 because 49*263=12887. | division |
1,827 | geometry | easy | Find the perimeter of a rectangle with length 75 and width 8. | 166 | Perimeter = 2*(length+width) = 2*(75+8) = 2*83 = 166. | rectangle_perim |
1,828 | algebra | easy | Solve for x: 11x + 9 = -123 | -12 | Subtract 9 from both sides: 11x = -123-9=-132. Then divide by 11: x = -132/11 = -12. | linear_equation |
1,829 | number_theory | medium | What is the LCM (least common multiple) of 21 and 7? | 21 | LCM = |21*7| / GCD(21,7). GCD=7, so LCM=147/7=21. | lcm |
1,830 | number_theory | medium | What is the LCM (least common multiple) of 54 and 82? | 2214 | LCM = |54*82| / GCD(54,82). GCD=2, so LCM=4428/2=2214. | lcm |
1,831 | arithmetic | easy | What is 10 + 66 * 68? Remember order of operations. | 4498 | Order of operations (PEMDAS): first 66*68=4488, then 10+4488=4498. | basic_operations |
1,832 | algebra | medium | Solve for x: x^2 - 2x - 63 = 0 | x = -7, 9 | Factor: (x - -7)(x - 9) = x^2 -(2)x + -63 = 0. So x = -7 or 9. Check sum = 2, product = -63. | quadratic |
1,833 | algebra | medium | Solve for x: x^2 - 7x = 0 | x = 7, 0 | Factor: (x - 7)(x - 0) = x^2 -(7)x + 0 = 0. So x = 7 or 0. Check sum = 7, product = 0. | quadratic |
1,834 | roots | easy | What is the square root of 1936? | 44 | Find number that when squared gives 1936. 44*44=1936, so sqrt(1936)=44. | square_roots |
1,835 | exponents | easy | What is 6^4? | 1296 | 6^4 means multiply 6 by itself 4 times: 6*6*6*6 = 1296. | exponents |
1,836 | arithmetic | easy | What is 20790 / 70? | 297 | Divide: 20790 ÷ 70 = 297 because 70*297=20790. | division |
1,837 | arithmetic | easy | What is 531 - 141? | 390 | Subtract: 531 - 141 = 390. | basic_operations |
1,838 | 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 |
1,839 | algebra | medium | Solve for x: x^2 + 11x + 28 = 0 | x = -7, -4 | Factor: (x - -7)(x - -4) = x^2 -(-11)x + 28 = 0. So x = -7 or -4. Check sum = -11, product = 28. | quadratic |
1,840 | algebra | easy | Solve for x: 17x - 22 = -158 | -8 | Add 22 to both sides: 17x = -158+22=-136. Then x = -136/17 = -8. | linear_equation |
1,841 | arithmetic | easy | What is 12980 / 55? | 236 | Divide: 12980 ÷ 55 = 236 because 55*236=12980. | division |
1,842 | algebra | easy | Solve for x: 1x + 11 = 13 | 2 | Subtract 11 from both sides: 1x = 13-11=2. Then divide by 1: x = 2/1 = 2. | linear_equation |
1,843 | exponents | easy | What is 7^3? | 343 | 7^3 means multiply 7 by itself 3 times: 7*7*7 = 343. | exponents |
1,844 | word_problems | easy | If you have 81 dollars and you buy 34 more dollars, how many dollars do you have in total? | 115 | Add initial 81 plus bought 34: 81+34=115. | addition_word |
1,845 | algebra | medium | Solve for x: x^2 + 11x + 10 = 0 | x = -1, -10 | Factor: (x - -1)(x - -10) = x^2 -(-11)x + 10 = 0. So x = -1 or -10. Check sum = -11, product = 10. | quadratic |
1,846 | arithmetic | easy | What is 1980 / 30? | 66 | Divide: 1980 ÷ 30 = 66 because 30*66=1980. | division |
1,847 | percentages | easy | What is 40% of 129? | 51.6 | Calculate 40/100 * 129 = 0.4*129 = 51.6. | percentages |
1,848 | fractions | medium | What is 5/4 + 14/5? Give as simplified fraction. | 81/20 | Common denominator 4*5=20. 5/4=25/20, 14/5=56/20. Sum = 81/20 = 81/20 simplified. | fraction_operations |
1,849 | arithmetic | easy | What is 794 + 496 * 97? Remember order of operations. | 48906 | Order of operations (PEMDAS): first 496*97=48112, then 794+48112=48906. | basic_operations |
1,850 | arithmetic | easy | What is 2442 / 6? | 407 | Divide: 2442 ÷ 6 = 407 because 6*407=2442. | division |
1,851 | statistics | easy | What is the mean (average) of 33, 6, 9? | 16 | Mean = sum/count. Sum = 33+6+9=48. Count=3. Mean=48/3=16.0. | mean |
1,852 | exponents | easy | What is 12^2? | 144 | 12^2 means multiply 12 by itself 2 times: 12*12 = 144. | exponents |
1,853 | arithmetic | easy | What is 8024 / 17? | 472 | Divide: 8024 ÷ 17 = 472 because 17*472=8024. | division |
1,854 | algebra | medium | Solve for x: x^2 + 9x - 10 = 0 | x = 1, -10 | Factor: (x - 1)(x - -10) = x^2 -(-9)x + -10 = 0. So x = 1 or -10. Check sum = -9, product = -10. | quadratic |
1,855 | arithmetic | easy | What is 867 - 150? | 717 | Subtract: 867 - 150 = 717. | basic_operations |
1,856 | number_theory | medium | What is the GCD (greatest common divisor) of 46 and 21? | 1 | Find greatest number dividing both 46 and 21. Divisors common, greatest is 1. | gcd |
1,857 | arithmetic | easy | What is 102 + 840? | 942 | Add the two numbers: 102 + 840 = 942. | basic_operations |
1,858 | fractions | medium | What is 10/7 * 18/2? Give as simplified fraction. | 90/7 | Multiply numerators: 10*18=180. Denominators: 7*2=14. Simplify by gcd 2 to get 90/7. | fraction_operations |
1,859 | arithmetic | easy | What is 13705 divided by 29? Give answer to 2 decimal places. | 472.59 | Calculate 13705/ 29 = 472.5862, rounded to 2 decimals is 472.59. | division |
1,860 | number_theory | medium | What is the GCD (greatest common divisor) of 90 and 76? | 2 | Find greatest number dividing both 90 and 76. Divisors common, greatest is 2. | gcd |
1,861 | word_problems | easy | If you have 91 books and you buy 7 more books, how many books do you have in total? | 98 | Add initial 91 plus bought 7: 91+7=98. | addition_word |
1,862 | number_theory | medium | What is the GCD (greatest common divisor) of 49 and 55? | 1 | Find greatest number dividing both 49 and 55. Divisors common, greatest is 1. | gcd |
1,863 | percentages | easy | What is 53% of 116? | 61.48 | Calculate 53/100 * 116 = 0.53*116 = 61.48. | percentages |
1,864 | roots | easy | What is the square root of 64? | 8 | Find number that when squared gives 64. 8*8=64, so sqrt(64)=8. | square_roots |
1,865 | word_problems | easy | If you have 19 books and you buy 34 more books, how many books do you have in total? | 53 | Add initial 19 plus bought 34: 19+34=53. | addition_word |
1,866 | statistics | easy | What is the mean (average) of 91, 37, 72, 93? | 73.25 | Mean = sum/count. Sum = 91+37+72+93=293. Count=4. Mean=293/4=73.25. | mean |
1,867 | arithmetic | easy | What is 85 + 336? | 421 | Add the two numbers: 85 + 336 = 421. | basic_operations |
1,868 | word_problems | easy | If you have 81 dollars and you buy 48 more dollars, how many dollars do you have in total? | 129 | Add initial 81 plus bought 48: 81+48=129. | addition_word |
1,869 | word_problems | easy | If you have 33 candies and you buy 36 more candies, how many candies do you have in total? | 69 | Add initial 33 plus bought 36: 33+36=69. | addition_word |
1,870 | exponents | easy | What is 8^3? | 512 | 8^3 means multiply 8 by itself 3 times: 8*8*8 = 512. | exponents |
1,871 | arithmetic | easy | What is 48 + 23 * 61? Remember order of operations. | 1451 | Order of operations (PEMDAS): first 23*61=1403, then 48+1403=1451. | basic_operations |
1,872 | statistics | easy | What is the mean (average) of 14, 51, 57, 67, 85? | 54.8 | Mean = sum/count. Sum = 14+51+57+67+85=274. Count=5. Mean=274/5=54.8. | mean |
1,873 | arithmetic | easy | What is 147 - 123? | 24 | Subtract: 147 - 123 = 24. | basic_operations |
1,874 | arithmetic | easy | What is 45504 / 96? | 474 | Divide: 45504 ÷ 96 = 474 because 96*474=45504. | division |
1,875 | number_theory | medium | What is the GCD (greatest common divisor) of 26 and 44? | 2 | Find greatest number dividing both 26 and 44. Divisors common, greatest is 2. | gcd |
1,876 | calculus | medium | What is the derivative of 4x^2 with respect to x? | 8x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^2] = 4*2*x^1 = 8x. | derivative |
1,877 | 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 |
1,878 | statistics | easy | What is the mean (average) of 98, 92, 99, 75? | 91 | Mean = sum/count. Sum = 98+92+99+75=364. Count=4. Mean=364/4=91.0. | mean |
1,879 | geometry | easy | Find the circumference of a circle with radius 23. Use pi=3.14159, round to 2 decimals. | 144.51 | Circumference = 2*pi*r = 2*3.14159*23 = 144.51. | circle_circum |
1,880 | statistics | easy | What is the mean (average) of 78, 52, 63, 66, 36? | 59 | Mean = sum/count. Sum = 78+52+63+66+36=295. Count=5. Mean=295/5=59.0. | mean |
1,881 | algebra | easy | Solve for x: 15x - 37 = -232 | -13 | Add 37 to both sides: 15x = -232+37=-195. Then x = -195/15 = -13. | linear_equation |
1,882 | geometry | easy | Find the circumference of a circle with radius 32. Use pi=3.14159, round to 2 decimals. | 201.06 | Circumference = 2*pi*r = 2*3.14159*32 = 201.06. | circle_circum |
1,883 | percentages | easy | What is 81% of 966? | 782.46 | Calculate 81/100 * 966 = 0.81*966 = 782.46. | percentages |
1,884 | algebra | easy | Solve for x: 1x - 38 = -55 | -17 | Add 38 to both sides: 1x = -55+38=-17. Then x = -17/1 = -17. | linear_equation |
1,885 | arithmetic | easy | What is 511 + 695? | 1206 | Add the two numbers: 511 + 695 = 1206. | basic_operations |
1,886 | roots | easy | What is the square root of 100? | 10 | Find number that when squared gives 100. 10*10=100, so sqrt(100)=10. | square_roots |
1,887 | exponents | easy | What is 11^2? | 121 | 11^2 means multiply 11 by itself 2 times: 11*11 = 121. | exponents |
1,888 | arithmetic | easy | What is 770 - 677? | 93 | Subtract: 770 - 677 = 93. | basic_operations |
1,889 | fractions | medium | What is 10/17 - 16/18? Give as simplified fraction. | -46/153 | Common denominator 306. Numerator 180-272=-92. So -92/306 simplifies to -46/153. | fraction_operations |
1,890 | roots | easy | What is the square root of 1225? | 35 | Find number that when squared gives 1225. 35*35=1225, so sqrt(1225)=35. | square_roots |
1,891 | arithmetic | easy | What is 976 - 783? | 193 | Subtract: 976 - 783 = 193. | basic_operations |
1,892 | arithmetic | easy | What is 11802 divided by 51? Give answer to 2 decimal places. | 231.41 | Calculate 11802/ 51 = 231.4118, rounded to 2 decimals is 231.41. | division |
1,893 | word_problems | easy | If you have 63 apples and you buy 3 more apples, how many apples do you have in total? | 66 | Add initial 63 plus bought 3: 63+3=66. | addition_word |
1,894 | algebra | medium | Solve for x: x^2 - 6x - 7 = 0 | x = 7, -1 | Factor: (x - 7)(x - -1) = x^2 -(6)x + -7 = 0. So x = 7 or -1. Check sum = 6, product = -7. | quadratic |
1,895 | algebra | medium | Solve for x: x^2 - 8x + 15 = 0 | x = 5, 3 | Factor: (x - 5)(x - 3) = x^2 -(8)x + 15 = 0. So x = 5 or 3. Check sum = 8, product = 15. | quadratic |
1,896 | algebra | easy | Solve for x: 10x + 41 = 81 | 4 | Subtract 41 from both sides: 10x = 81-41=40. Then divide by 10: x = 40/10 = 4. | linear_equation |
1,897 | statistics | easy | What is the mean (average) of 73, 87, 63? | 74.33 | Mean = sum/count. Sum = 73+87+63=223. Count=3. Mean=223/3=74.33. | mean |
1,898 | statistics | easy | What is the mean (average) of 72, 21, 65, 8? | 41.5 | Mean = sum/count. Sum = 72+21+65+8=166. Count=4. Mean=166/4=41.5. | mean |
1,899 | calculus | medium | What is the derivative of 8x^4 with respect to x? | 32x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^4] = 8*4*x^3 = 32x^3. | derivative |
1,900 | calculus | medium | What is the derivative of 6x^6 with respect to x? | 36x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^6] = 6*6*x^5 = 36x^5. | derivative |
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