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 |
|---|---|---|---|---|---|---|
2,901 | arithmetic | easy | What is 93 + 56 * 42? Remember order of operations. | 2445 | Order of operations (PEMDAS): first 56*42=2352, then 93+2352=2445. | basic_operations |
2,902 | arithmetic | easy | What is 1 * 89? | 89 | Multiply: 1 * 89 = 89. | basic_operations |
2,903 | geometry | easy | Find the area of a rectangle with length 15 and width 7. | 105 | Area = length * width = 15*7 = 105. | rectangle_area |
2,904 | exponents | easy | What is 3^4? | 81 | 3^4 means multiply 3 by itself 4 times: 3*3*3*3 = 81. | exponents |
2,905 | roots | easy | What is the square root of 2025? | 45 | Find number that when squared gives 2025. 45*45=2025, so sqrt(2025)=45. | square_roots |
2,906 | calculus | medium | What is the derivative of 3x^4 with respect to x? | 12x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^4] = 3*4*x^3 = 12x^3. | derivative |
2,907 | algebra | easy | Solve for x: 19x + 8 = -239 | -13 | Subtract 8 from both sides: 19x = -239-8=-247. Then divide by 19: x = -247/19 = -13. | linear_equation |
2,908 | algebra | easy | Solve for x: 11x - 32 = 155 | 17 | Add 32 to both sides: 11x = 155+32=187. Then x = 187/11 = 17. | linear_equation |
2,909 | 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 |
2,910 | word_problems | easy | If you have 90 pencils and you buy 8 more pencils, how many pencils do you have in total? | 98 | Add initial 90 plus bought 8: 90+8=98. | addition_word |
2,911 | percentages | easy | What is 74% of 490? | 362.6 | Calculate 74/100 * 490 = 0.74*490 = 362.6. | percentages |
2,912 | statistics | easy | What is the mean (average) of 42, 99, 94, 62? | 74.25 | Mean = sum/count. Sum = 42+99+94+62=297. Count=4. Mean=297/4=74.25. | mean |
2,913 | percentages | easy | What is 12% of 271? | 32.52 | Calculate 12/100 * 271 = 0.12*271 = 32.52. | percentages |
2,914 | exponents | easy | What is 3^4? | 81 | 3^4 means multiply 3 by itself 4 times: 3*3*3*3 = 81. | exponents |
2,915 | percentages | easy | What is 85% of 663? | 563.55 | Calculate 85/100 * 663 = 0.85*663 = 563.55. | percentages |
2,916 | fractions | medium | What is 3/4 + 16/3? Give as simplified fraction. | 73/12 | Common denominator 4*3=12. 3/4=9/12, 16/3=64/12. Sum = 73/12 = 73/12 simplified. | fraction_operations |
2,917 | arithmetic | easy | What is 687 + 222 * 60? Remember order of operations. | 14007 | Order of operations (PEMDAS): first 222*60=13320, then 687+13320=14007. | basic_operations |
2,918 | arithmetic | easy | What is 4815 / 45? | 107 | Divide: 4815 ÷ 45 = 107 because 45*107=4815. | division |
2,919 | exponents | easy | What is 9^3? | 729 | 9^3 means multiply 9 by itself 3 times: 9*9*9 = 729. | exponents |
2,920 | arithmetic | easy | What is 2046 divided by 18? Give answer to 2 decimal places. | 113.67 | Calculate 2046/ 18 = 113.6667, rounded to 2 decimals is 113.67. | division |
2,921 | word_problems | easy | If you have 84 books and you buy 33 more books, how many books do you have in total? | 117 | Add initial 84 plus bought 33: 84+33=117. | addition_word |
2,922 | calculus | medium | What is the derivative of 2x^3 with respect to x? | 6x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^3] = 2*3*x^2 = 6x^2. | derivative |
2,923 | geometry | easy | Find the circumference of a circle with radius 11. Use pi=3.14159, round to 2 decimals. | 69.12 | Circumference = 2*pi*r = 2*3.14159*11 = 69.12. | circle_circum |
2,924 | exponents | easy | What is 11^2? | 121 | 11^2 means multiply 11 by itself 2 times: 11*11 = 121. | exponents |
2,925 | 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 |
2,926 | percentages | easy | What is 3% of 916? | 27.48 | Calculate 3/100 * 916 = 0.03*916 = 27.48. | percentages |
2,927 | word_problems | easy | If you have 28 apples and you buy 18 more apples, how many apples do you have in total? | 46 | Add initial 28 plus bought 18: 28+18=46. | addition_word |
2,928 | statistics | easy | What is the mean (average) of 68, 58, 46, 34, 16? | 44.4 | Mean = sum/count. Sum = 68+58+46+34+16=222. Count=5. Mean=222/5=44.4. | mean |
2,929 | arithmetic | easy | What is 363 + 442? | 805 | Add the two numbers: 363 + 442 = 805. | basic_operations |
2,930 | 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 |
2,931 | roots | easy | What is the square root of 16? | 4 | Find number that when squared gives 16. 4*4=16, so sqrt(16)=4. | square_roots |
2,932 | word_problems | easy | If you have 39 apples and you buy 24 more apples, how many apples do you have in total? | 63 | Add initial 39 plus bought 24: 39+24=63. | addition_word |
2,933 | arithmetic | easy | What is 665 + 392 * 94? Remember order of operations. | 37513 | Order of operations (PEMDAS): first 392*94=36848, then 665+36848=37513. | basic_operations |
2,934 | fractions | medium | What is 13/7 * 20/10? Give as simplified fraction. | 26/7 | Multiply numerators: 13*20=260. Denominators: 7*10=70. Simplify by gcd 10 to get 26/7. | fraction_operations |
2,935 | statistics | easy | What is the mean (average) of 56, 14, 88, 7, 83? | 49.6 | Mean = sum/count. Sum = 56+14+88+7+83=248. Count=5. Mean=248/5=49.6. | mean |
2,936 | percentages | easy | What is 15% of 225? | 33.75 | Calculate 15/100 * 225 = 0.15*225 = 33.75. | percentages |
2,937 | arithmetic | easy | What is 3672 / 8? | 459 | Divide: 3672 ÷ 8 = 459 because 8*459=3672. | division |
2,938 | percentages | easy | What is 9% of 545? | 49.05 | Calculate 9/100 * 545 = 0.09*545 = 49.05. | percentages |
2,939 | arithmetic | easy | What is 4318 divided by 37? Give answer to 2 decimal places. | 116.7 | Calculate 4318/ 37 = 116.7027, rounded to 2 decimals is 116.7. | division |
2,940 | 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 |
2,941 | 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 |
2,942 | algebra | medium | Solve for x: x^2 + 3x - 4 = 0 | x = -4, 1 | Factor: (x - -4)(x - 1) = x^2 -(-3)x + -4 = 0. So x = -4 or 1. Check sum = -3, product = -4. | quadratic |
2,943 | exponents | easy | What is 11^4? | 14641 | 11^4 means multiply 11 by itself 4 times: 11*11*11*11 = 14641. | exponents |
2,944 | arithmetic | easy | What is 80 * 62? | 4960 | Multiply: 80 * 62 = 4960. | basic_operations |
2,945 | percentages | easy | What is 22% of 323? | 71.06 | Calculate 22/100 * 323 = 0.22*323 = 71.06. | percentages |
2,946 | arithmetic | easy | What is 192 + 171 * 43? Remember order of operations. | 7545 | Order of operations (PEMDAS): first 171*43=7353, then 192+7353=7545. | basic_operations |
2,947 | arithmetic | easy | What is 683 + 486 * 55? Remember order of operations. | 27413 | Order of operations (PEMDAS): first 486*55=26730, then 683+26730=27413. | basic_operations |
2,948 | geometry | easy | Find the area of a rectangle with length 22 and width 87. | 1914 | Area = length * width = 22*87 = 1914. | rectangle_area |
2,949 | arithmetic | easy | What is 1 * 63? | 63 | Multiply: 1 * 63 = 63. | basic_operations |
2,950 | statistics | easy | What is the mean (average) of 6, 3, 73? | 27.33 | Mean = sum/count. Sum = 6+3+73=82. Count=3. Mean=82/3=27.33. | mean |
2,951 | exponents | easy | What is 5^3? | 125 | 5^3 means multiply 5 by itself 3 times: 5*5*5 = 125. | exponents |
2,952 | algebra | easy | Solve for x: 4x - 38 = -42 | -1 | Add 38 to both sides: 4x = -42+38=-4. Then x = -4/4 = -1. | linear_equation |
2,953 | 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 |
2,954 | statistics | easy | What is the mean (average) of 45, 70, 33, 85, 63? | 59.2 | Mean = sum/count. Sum = 45+70+33+85+63=296. Count=5. Mean=296/5=59.2. | mean |
2,955 | 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 |
2,956 | arithmetic | easy | What is 43 * 67? | 2881 | Multiply: 43 * 67 = 2881. | basic_operations |
2,957 | statistics | easy | What is the mean (average) of 35, 88, 67? | 63.33 | Mean = sum/count. Sum = 35+88+67=190. Count=3. Mean=190/3=63.33. | mean |
2,958 | arithmetic | easy | What is 19 * 46? | 874 | Multiply: 19 * 46 = 874. | basic_operations |
2,959 | percentages | easy | What is 74% of 759? | 561.66 | Calculate 74/100 * 759 = 0.74*759 = 561.66. | percentages |
2,960 | 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 |
2,961 | fractions | medium | What is 3/8 - 13/5? Give as simplified fraction. | -89/40 | Common denominator 40. Numerator 15-104=-89. So -89/40 simplifies to -89/40. | fraction_operations |
2,962 | word_problems | easy | If you have 72 dollars and you buy 12 more dollars, how many dollars do you have in total? | 84 | Add initial 72 plus bought 12: 72+12=84. | addition_word |
2,963 | number_theory | medium | What is the LCM (least common multiple) of 43 and 51? | 2193 | LCM = |43*51| / GCD(43,51). GCD=1, so LCM=2193/1=2193. | lcm |
2,964 | geometry | easy | Find the area of a circle with radius 13. Use pi=3.14159, round to 2 decimals. | 530.93 | Area = pi*r^2 = 3.14159*13^2 = 3.14159*169 = 530.93. | circle_area |
2,965 | arithmetic | easy | What is 594 - 533? | 61 | Subtract: 594 - 533 = 61. | basic_operations |
2,966 | arithmetic | easy | What is 23256 / 57? | 408 | Divide: 23256 ÷ 57 = 408 because 57*408=23256. | division |
2,967 | exponents | easy | What is 3^2? | 9 | 3^2 means multiply 3 by itself 2 times: 3*3 = 9. | exponents |
2,968 | statistics | easy | What is the mean (average) of 19, 60, 88, 20, 67? | 50.8 | Mean = sum/count. Sum = 19+60+88+20+67=254. Count=5. Mean=254/5=50.8. | mean |
2,969 | exponents | easy | What is 11^3? | 1331 | 11^3 means multiply 11 by itself 3 times: 11*11*11 = 1331. | exponents |
2,970 | exponents | easy | What is 9^4? | 6561 | 9^4 means multiply 9 by itself 4 times: 9*9*9*9 = 6561. | exponents |
2,971 | arithmetic | easy | What is 819 + 302 * 2? Remember order of operations. | 1423 | Order of operations (PEMDAS): first 302*2=604, then 819+604=1423. | basic_operations |
2,972 | exponents | easy | What is 11^2? | 121 | 11^2 means multiply 11 by itself 2 times: 11*11 = 121. | exponents |
2,973 | arithmetic | easy | What is 501 - 314? | 187 | Subtract: 501 - 314 = 187. | basic_operations |
2,974 | arithmetic | easy | What is 258 - 52? | 206 | Subtract: 258 - 52 = 206. | basic_operations |
2,975 | algebra | easy | Solve for x: 3x + 41 = 32 | -3 | Subtract 41 from both sides: 3x = 32-41=-9. Then divide by 3: x = -9/3 = -3. | linear_equation |
2,976 | algebra | easy | Solve for x: 7x + 5 = 124 | 17 | Subtract 5 from both sides: 7x = 124-5=119. Then divide by 7: x = 119/7 = 17. | linear_equation |
2,977 | arithmetic | easy | What is 298 - 225? | 73 | Subtract: 298 - 225 = 73. | basic_operations |
2,978 | percentages | easy | What is 87% of 653? | 568.11 | Calculate 87/100 * 653 = 0.87*653 = 568.11. | percentages |
2,979 | 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 |
2,980 | arithmetic | easy | What is 16520 / 35? | 472 | Divide: 16520 ÷ 35 = 472 because 35*472=16520. | division |
2,981 | algebra | medium | Solve for x: x^2 - 11x + 24 = 0 | x = 8, 3 | Factor: (x - 8)(x - 3) = x^2 -(11)x + 24 = 0. So x = 8 or 3. Check sum = 11, product = 24. | quadratic |
2,982 | roots | easy | What is the square root of 1444? | 38 | Find number that when squared gives 1444. 38*38=1444, so sqrt(1444)=38. | square_roots |
2,983 | algebra | easy | Solve for x: 7x - 18 = -102 | -12 | Add 18 to both sides: 7x = -102+18=-84. Then x = -84/7 = -12. | linear_equation |
2,984 | 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 |
2,985 | fractions | medium | What is 10/11 * 3/11? Give as simplified fraction. | 30/121 | Multiply numerators: 10*3=30. Denominators: 11*11=121. Simplify by gcd 1 to get 30/121. | fraction_operations |
2,986 | word_problems | easy | If you have 74 candies and you buy 12 more candies, how many candies do you have in total? | 86 | Add initial 74 plus bought 12: 74+12=86. | addition_word |
2,987 | 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 |
2,988 | algebra | easy | Solve for x: 17x + 6 = 6 | 0 | Subtract 6 from both sides: 17x = 6-6=0. Then divide by 17: x = 0/17 = 0. | linear_equation |
2,989 | number_theory | medium | What is the LCM (least common multiple) of 60 and 46? | 1380 | LCM = |60*46| / GCD(60,46). GCD=2, so LCM=2760/2=1380. | lcm |
2,990 | word_problems | easy | If you have 58 candies and you buy 27 more candies, how many candies do you have in total? | 85 | Add initial 58 plus bought 27: 58+27=85. | addition_word |
2,991 | arithmetic | easy | What is 935 + 573 * 4? Remember order of operations. | 3227 | Order of operations (PEMDAS): first 573*4=2292, then 935+2292=3227. | basic_operations |
2,992 | algebra | easy | Solve for x: 20x - 12 = -112 | -5 | Add 12 to both sides: 20x = -112+12=-100. Then x = -100/20 = -5. | linear_equation |
2,993 | number_theory | medium | What is the LCM (least common multiple) of 17 and 80? | 1360 | LCM = |17*80| / GCD(17,80). GCD=1, so LCM=1360/1=1360. | lcm |
2,994 | arithmetic | easy | What is 774 + 866? | 1640 | Add the two numbers: 774 + 866 = 1640. | basic_operations |
2,995 | arithmetic | easy | What is 59 + 7 * 98? Remember order of operations. | 745 | Order of operations (PEMDAS): first 7*98=686, then 59+686=745. | basic_operations |
2,996 | geometry | easy | Find the area of a rectangle with length 43 and width 77. | 3311 | Area = length * width = 43*77 = 3311. | rectangle_area |
2,997 | arithmetic | easy | What is 11310 / 39? | 290 | Divide: 11310 ÷ 39 = 290 because 39*290=11310. | division |
2,998 | arithmetic | easy | What is 66 * 95? | 6270 | Multiply: 66 * 95 = 6270. | basic_operations |
2,999 | fractions | medium | What is 17/6 + 18/17? Give as simplified fraction. | 397/102 | Common denominator 6*17=102. 17/6=289/102, 18/17=108/102. Sum = 397/102 = 397/102 simplified. | fraction_operations |
3,000 | percentages | easy | What is 87% of 656? | 570.72 | Calculate 87/100 * 656 = 0.87*656 = 570.72. | percentages |
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