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 |
|---|---|---|---|---|---|---|
12,901 | statistics | easy | What is the mean (average) of 10, 60, 14, 32? | 29 | Mean = sum/count. Sum = 10+60+14+32=116. Count=4. Mean=116/4=29.0. | mean |
12,902 | number_theory | medium | What is the GCD (greatest common divisor) of 89 and 85? | 1 | Find greatest number dividing both 89 and 85. Divisors common, greatest is 1. | gcd |
12,903 | exponents | easy | What is 7^4? | 2401 | 7^4 means multiply 7 by itself 4 times: 7*7*7*7 = 2401. | exponents |
12,904 | word_problems | easy | If you have 8 dollars and you buy 46 more dollars, how many dollars do you have in total? | 54 | Add initial 8 plus bought 46: 8+46=54. | addition_word |
12,905 | arithmetic | easy | What is 641 + 24 * 46? Remember order of operations. | 1745 | Order of operations (PEMDAS): first 24*46=1104, then 641+1104=1745. | basic_operations |
12,906 | 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 |
12,907 | arithmetic | easy | What is 497 - 426? | 71 | Subtract: 497 - 426 = 71. | basic_operations |
12,908 | exponents | easy | What is 3^3? | 27 | 3^3 means multiply 3 by itself 3 times: 3*3*3 = 27. | exponents |
12,909 | percentages | easy | What is 16% of 184? | 29.44 | Calculate 16/100 * 184 = 0.16*184 = 29.44. | percentages |
12,910 | word_problems | easy | If you have 60 candies and you buy 3 more candies, how many candies do you have in total? | 63 | Add initial 60 plus bought 3: 60+3=63. | addition_word |
12,911 | percentages | easy | What is 26% of 359? | 93.34 | Calculate 26/100 * 359 = 0.26*359 = 93.34. | percentages |
12,912 | exponents | easy | What is 10^3? | 1000 | 10^3 means multiply 10 by itself 3 times: 10*10*10 = 1000. | exponents |
12,913 | algebra | easy | Solve for x: 9x - 4 = -112 | -12 | Add 4 to both sides: 9x = -112+4=-108. Then x = -108/9 = -12. | linear_equation |
12,914 | exponents | easy | What is 10^2? | 100 | 10^2 means multiply 10 by itself 2 times: 10*10 = 100. | exponents |
12,915 | calculus | medium | What is the derivative of 1x^8 with respect to x? | 8x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^8] = 1*8*x^7 = 8x^7. | derivative |
12,916 | fractions | medium | What is 12/9 - 10/5? Give as simplified fraction. | -2/3 | Common denominator 45. Numerator 60-90=-30. So -30/45 simplifies to -2/3. | fraction_operations |
12,917 | 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 |
12,918 | number_theory | medium | What is the GCD (greatest common divisor) of 40 and 53? | 1 | Find greatest number dividing both 40 and 53. Divisors common, greatest is 1. | gcd |
12,919 | geometry | easy | Find the area of a rectangle with length 14 and width 83. | 1162 | Area = length * width = 14*83 = 1162. | rectangle_area |
12,920 | arithmetic | easy | What is 2010 / 6? | 335 | Divide: 2010 ÷ 6 = 335 because 6*335=2010. | division |
12,921 | word_problems | easy | If you have 33 apples and you buy 37 more apples, how many apples do you have in total? | 70 | Add initial 33 plus bought 37: 33+37=70. | addition_word |
12,922 | algebra | medium | Solve for x: x^2 - 14x + 48 = 0 | x = 8, 6 | Factor: (x - 8)(x - 6) = x^2 -(14)x + 48 = 0. So x = 8 or 6. Check sum = 14, product = 48. | quadratic |
12,923 | percentages | easy | What is 41% of 533? | 218.53 | Calculate 41/100 * 533 = 0.41*533 = 218.53. | percentages |
12,924 | geometry | easy | Find the area of a circle with radius 36. Use pi=3.14159, round to 2 decimals. | 4071.5 | Area = pi*r^2 = 3.14159*36^2 = 3.14159*1296 = 4071.5. | circle_area |
12,925 | arithmetic | easy | What is 691 - 102? | 589 | Subtract: 691 - 102 = 589. | basic_operations |
12,926 | algebra | easy | Solve for x: 15x + 12 = -198 | -14 | Subtract 12 from both sides: 15x = -198-12=-210. Then divide by 15: x = -210/15 = -14. | linear_equation |
12,927 | roots | easy | What is the square root of 625? | 25 | Find number that when squared gives 625. 25*25=625, so sqrt(625)=25. | square_roots |
12,928 | roots | easy | What is the square root of 169? | 13 | Find number that when squared gives 169. 13*13=169, so sqrt(169)=13. | square_roots |
12,929 | arithmetic | easy | What is 58 + 37 * 13? Remember order of operations. | 539 | Order of operations (PEMDAS): first 37*13=481, then 58+481=539. | basic_operations |
12,930 | geometry | easy | Find the area of a rectangle with length 68 and width 1. | 68 | Area = length * width = 68*1 = 68. | rectangle_area |
12,931 | fractions | medium | What is 1/19 + 20/7? Give as simplified fraction. | 387/133 | Common denominator 19*7=133. 1/19=7/133, 20/7=380/133. Sum = 387/133 = 387/133 simplified. | fraction_operations |
12,932 | arithmetic | easy | What is 883 + 413? | 1296 | Add the two numbers: 883 + 413 = 1296. | basic_operations |
12,933 | 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 |
12,934 | exponents | easy | What is 2^3? | 8 | 2^3 means multiply 2 by itself 3 times: 2*2*2 = 8. | exponents |
12,935 | percentages | easy | What is 60% of 431? | 258.6 | Calculate 60/100 * 431 = 0.6*431 = 258.6. | percentages |
12,936 | geometry | easy | Find the area of a circle with radius 9. Use pi=3.14159, round to 2 decimals. | 254.47 | Area = pi*r^2 = 3.14159*9^2 = 3.14159*81 = 254.47. | circle_area |
12,937 | 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 |
12,938 | roots | easy | What is the square root of 1296? | 36 | Find number that when squared gives 1296. 36*36=1296, so sqrt(1296)=36. | square_roots |
12,939 | word_problems | easy | If you have 21 apples and you buy 34 more apples, how many apples do you have in total? | 55 | Add initial 21 plus bought 34: 21+34=55. | addition_word |
12,940 | algebra | medium | Solve for x: x^2 - 4x - 21 = 0 | x = -3, 7 | Factor: (x - -3)(x - 7) = x^2 -(4)x + -21 = 0. So x = -3 or 7. Check sum = 4, product = -21. | quadratic |
12,941 | calculus | medium | What is the derivative of 7x^4 with respect to x? | 28x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^4] = 7*4*x^3 = 28x^3. | derivative |
12,942 | algebra | medium | Solve for x: x^2 + 6x - 27 = 0 | x = 3, -9 | Factor: (x - 3)(x - -9) = x^2 -(-6)x + -27 = 0. So x = 3 or -9. Check sum = -6, product = -27. | quadratic |
12,943 | arithmetic | easy | What is 70 * 4? | 280 | Multiply: 70 * 4 = 280. | basic_operations |
12,944 | arithmetic | easy | What is 27186 / 69? | 394 | Divide: 27186 ÷ 69 = 394 because 69*394=27186. | division |
12,945 | arithmetic | easy | What is 716 + 254? | 970 | Add the two numbers: 716 + 254 = 970. | basic_operations |
12,946 | fractions | medium | What is 15/19 - 5/19? Give as simplified fraction. | 10/19 | Common denominator 361. Numerator 285-95=190. So 190/361 simplifies to 10/19. | fraction_operations |
12,947 | statistics | easy | What is the mean (average) of 21, 93, 84, 81, 20? | 59.8 | Mean = sum/count. Sum = 21+93+84+81+20=299. Count=5. Mean=299/5=59.8. | mean |
12,948 | arithmetic | easy | What is 931 + 774? | 1705 | Add the two numbers: 931 + 774 = 1705. | basic_operations |
12,949 | arithmetic | easy | What is 880 - 556? | 324 | Subtract: 880 - 556 = 324. | basic_operations |
12,950 | algebra | medium | Solve for x: x^2 + 9x + 20 = 0 | x = -5, -4 | Factor: (x - -5)(x - -4) = x^2 -(-9)x + 20 = 0. So x = -5 or -4. Check sum = -9, product = 20. | quadratic |
12,951 | word_problems | easy | If you have 53 candies and you buy 42 more candies, how many candies do you have in total? | 95 | Add initial 53 plus bought 42: 53+42=95. | addition_word |
12,952 | 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 |
12,953 | geometry | easy | Find the area of a rectangle with length 45 and width 90. | 4050 | Area = length * width = 45*90 = 4050. | rectangle_area |
12,954 | arithmetic | easy | What is 999 + 593? | 1592 | Add the two numbers: 999 + 593 = 1592. | basic_operations |
12,955 | algebra | easy | Solve for x: 15x + 43 = -137 | -12 | Subtract 43 from both sides: 15x = -137-43=-180. Then divide by 15: x = -180/15 = -12. | linear_equation |
12,956 | algebra | medium | Solve for x: x^2 - 8x - 9 = 0 | x = 9, -1 | Factor: (x - 9)(x - -1) = x^2 -(8)x + -9 = 0. So x = 9 or -1. Check sum = 8, product = -9. | quadratic |
12,957 | algebra | easy | Solve for x: 18x + 2 = -124 | -7 | Subtract 2 from both sides: 18x = -124-2=-126. Then divide by 18: x = -126/18 = -7. | linear_equation |
12,958 | 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 |
12,959 | percentages | easy | What is 40% of 598? | 239.2 | Calculate 40/100 * 598 = 0.4*598 = 239.2. | percentages |
12,960 | algebra | medium | Solve for x: x^2 + 2x - 8 = 0 | x = 2, -4 | Factor: (x - 2)(x - -4) = x^2 -(-2)x + -8 = 0. So x = 2 or -4. Check sum = -2, product = -8. | quadratic |
12,961 | statistics | easy | What is the mean (average) of 84, 35, 79, 42, 45? | 57 | Mean = sum/count. Sum = 84+35+79+42+45=285. Count=5. Mean=285/5=57.0. | mean |
12,962 | arithmetic | easy | What is 30 * 31? | 930 | Multiply: 30 * 31 = 930. | basic_operations |
12,963 | number_theory | medium | What is the GCD (greatest common divisor) of 59 and 20? | 1 | Find greatest number dividing both 59 and 20. Divisors common, greatest is 1. | gcd |
12,964 | geometry | easy | Find the circumference of a circle with radius 42. Use pi=3.14159, round to 2 decimals. | 263.89 | Circumference = 2*pi*r = 2*3.14159*42 = 263.89. | circle_circum |
12,965 | fractions | medium | What is 17/5 * 14/4? Give as simplified fraction. | 119/10 | Multiply numerators: 17*14=238. Denominators: 5*4=20. Simplify by gcd 2 to get 119/10. | fraction_operations |
12,966 | arithmetic | easy | What is 359 - 329? | 30 | Subtract: 359 - 329 = 30. | basic_operations |
12,967 | arithmetic | easy | What is 53 + 12 * 20? Remember order of operations. | 293 | Order of operations (PEMDAS): first 12*20=240, then 53+240=293. | basic_operations |
12,968 | arithmetic | easy | What is 39 * 9? | 351 | Multiply: 39 * 9 = 351. | basic_operations |
12,969 | roots | easy | What is the square root of 1681? | 41 | Find number that when squared gives 1681. 41*41=1681, so sqrt(1681)=41. | square_roots |
12,970 | algebra | medium | Solve for x: x^2 - 1x - 90 = 0 | x = 10, -9 | Factor: (x - 10)(x - -9) = x^2 -(1)x + -90 = 0. So x = 10 or -9. Check sum = 1, product = -90. | quadratic |
12,971 | algebra | medium | Solve for x: x^2 - 13x + 36 = 0 | x = 4, 9 | Factor: (x - 4)(x - 9) = x^2 -(13)x + 36 = 0. So x = 4 or 9. Check sum = 13, product = 36. | quadratic |
12,972 | arithmetic | easy | What is 6253 / 37? | 169 | Divide: 6253 ÷ 37 = 169 because 37*169=6253. | division |
12,973 | arithmetic | easy | What is 576 + 976? | 1552 | Add the two numbers: 576 + 976 = 1552. | basic_operations |
12,974 | algebra | medium | Solve for x: x^2 - 4x - 12 = 0 | x = 6, -2 | Factor: (x - 6)(x - -2) = x^2 -(4)x + -12 = 0. So x = 6 or -2. Check sum = 4, product = -12. | quadratic |
12,975 | roots | easy | What is the square root of 1156? | 34 | Find number that when squared gives 1156. 34*34=1156, so sqrt(1156)=34. | square_roots |
12,976 | exponents | easy | What is 10^5? | 100000 | 10^5 means multiply 10 by itself 5 times: 10*10*10*10*10 = 100000. | exponents |
12,977 | geometry | easy | Find the area of a triangle with base 33 and height 6. | 99 | Area = 0.5*base*height = 0.5*33*6 = 99. | triangle_area |
12,978 | arithmetic | easy | What is 890 + 591 * 23? Remember order of operations. | 14483 | Order of operations (PEMDAS): first 591*23=13593, then 890+13593=14483. | basic_operations |
12,979 | 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 |
12,980 | arithmetic | easy | What is 907 + 506? | 1413 | Add the two numbers: 907 + 506 = 1413. | basic_operations |
12,981 | arithmetic | easy | What is 571 + 654? | 1225 | Add the two numbers: 571 + 654 = 1225. | basic_operations |
12,982 | arithmetic | easy | What is 584 - 83? | 501 | Subtract: 584 - 83 = 501. | basic_operations |
12,983 | 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 |
12,984 | 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 |
12,985 | algebra | easy | Solve for x: 20x - 34 = -14 | 1 | Add 34 to both sides: 20x = -14+34=20. Then x = 20/20 = 1. | linear_equation |
12,986 | number_theory | medium | What is the LCM (least common multiple) of 90 and 98? | 4410 | LCM = |90*98| / GCD(90,98). GCD=2, so LCM=8820/2=4410. | lcm |
12,987 | 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 |
12,988 | arithmetic | easy | What is 720 - 705? | 15 | Subtract: 720 - 705 = 15. | basic_operations |
12,989 | arithmetic | easy | What is 84 + 72 * 44? Remember order of operations. | 3252 | Order of operations (PEMDAS): first 72*44=3168, then 84+3168=3252. | basic_operations |
12,990 | fractions | medium | What is 13/6 - 9/7? Give as simplified fraction. | 37/42 | Common denominator 42. Numerator 91-54=37. So 37/42 simplifies to 37/42. | fraction_operations |
12,991 | exponents | easy | What is 9^2? | 81 | 9^2 means multiply 9 by itself 2 times: 9*9 = 81. | exponents |
12,992 | arithmetic | easy | What is 139 + 997? | 1136 | Add the two numbers: 139 + 997 = 1136. | basic_operations |
12,993 | arithmetic | easy | What is 918 - 403? | 515 | Subtract: 918 - 403 = 515. | basic_operations |
12,994 | exponents | easy | What is 6^5? | 7776 | 6^5 means multiply 6 by itself 5 times: 6*6*6*6*6 = 7776. | exponents |
12,995 | arithmetic | easy | What is 962 - 637? | 325 | Subtract: 962 - 637 = 325. | basic_operations |
12,996 | algebra | medium | Solve for x: x^2 - 6x - 7 = 0 | x = -1, 7 | Factor: (x - -1)(x - 7) = x^2 -(6)x + -7 = 0. So x = -1 or 7. Check sum = 6, product = -7. | quadratic |
12,997 | statistics | easy | What is the mean (average) of 37, 59, 50, 32? | 44.5 | Mean = sum/count. Sum = 37+59+50+32=178. Count=4. Mean=178/4=44.5. | mean |
12,998 | arithmetic | easy | What is 967 + 703? | 1670 | Add the two numbers: 967 + 703 = 1670. | basic_operations |
12,999 | algebra | easy | Solve for x: 18x + 27 = -315 | -19 | Subtract 27 from both sides: 18x = -315-27=-342. Then divide by 18: x = -342/18 = -19. | linear_equation |
13,000 | arithmetic | easy | What is 2645 divided by 88? Give answer to 2 decimal places. | 30.06 | Calculate 2645/ 88 = 30.0568, rounded to 2 decimals is 30.06. | division |
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