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 |
|---|---|---|---|---|---|---|
10,001 | arithmetic | easy | What is 405 - 56? | 349 | Subtract: 405 - 56 = 349. | basic_operations |
10,002 | algebra | easy | Solve for x: 14x - 13 = -223 | -15 | Add 13 to both sides: 14x = -223+13=-210. Then x = -210/14 = -15. | linear_equation |
10,003 | word_problems | easy | If you have 84 pencils and you buy 16 more pencils, how many pencils do you have in total? | 100 | Add initial 84 plus bought 16: 84+16=100. | addition_word |
10,004 | word_problems | easy | If you have 73 dollars and you buy 40 more dollars, how many dollars do you have in total? | 113 | Add initial 73 plus bought 40: 73+40=113. | addition_word |
10,005 | fractions | medium | What is 15/17 + 2/4? Give as simplified fraction. | 47/34 | Common denominator 17*4=68. 15/17=60/68, 2/4=34/68. Sum = 94/68 = 47/34 simplified. | fraction_operations |
10,006 | geometry | easy | Find the area of a triangle with base 28 and height 15. | 210 | Area = 0.5*base*height = 0.5*28*15 = 210. | triangle_area |
10,007 | 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 |
10,008 | geometry | easy | Find the area of a circle with radius 44. Use pi=3.14159, round to 2 decimals. | 6082.12 | Area = pi*r^2 = 3.14159*44^2 = 3.14159*1936 = 6082.12. | circle_area |
10,009 | algebra | easy | Solve for x: 9x - 19 = 53 | 8 | Add 19 to both sides: 9x = 53+19=72. Then x = 72/9 = 8. | linear_equation |
10,010 | arithmetic | easy | What is 451 + 277 * 1? Remember order of operations. | 728 | Order of operations (PEMDAS): first 277*1=277, then 451+277=728. | basic_operations |
10,011 | fractions | medium | What is 13/13 - 3/18? Give as simplified fraction. | 5/6 | Common denominator 234. Numerator 234-39=195. So 195/234 simplifies to 5/6. | fraction_operations |
10,012 | number_theory | medium | What is the GCD (greatest common divisor) of 51 and 75? | 3 | Find greatest number dividing both 51 and 75. Divisors common, greatest is 3. | gcd |
10,013 | 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 |
10,014 | algebra | easy | Solve for x: 2x + 49 = 37 | -6 | Subtract 49 from both sides: 2x = 37-49=-12. Then divide by 2: x = -12/2 = -6. | linear_equation |
10,015 | algebra | medium | Solve for x: x^2 - 1x - 20 = 0 | x = 5, -4 | Factor: (x - 5)(x - -4) = x^2 -(1)x + -20 = 0. So x = 5 or -4. Check sum = 1, product = -20. | quadratic |
10,016 | roots | easy | What is the square root of 2500? | 50 | Find number that when squared gives 2500. 50*50=2500, so sqrt(2500)=50. | square_roots |
10,017 | statistics | easy | What is the mean (average) of 19, 47, 50? | 38.67 | Mean = sum/count. Sum = 19+47+50=116. Count=3. Mean=116/3=38.67. | mean |
10,018 | statistics | easy | What is the mean (average) of 10, 20, 32? | 20.67 | Mean = sum/count. Sum = 10+20+32=62. Count=3. Mean=62/3=20.67. | mean |
10,019 | arithmetic | easy | What is 566 - 28? | 538 | Subtract: 566 - 28 = 538. | basic_operations |
10,020 | number_theory | medium | What is the LCM (least common multiple) of 76 and 15? | 1140 | LCM = |76*15| / GCD(76,15). GCD=1, so LCM=1140/1=1140. | lcm |
10,021 | percentages | easy | What is 19% of 723? | 137.37 | Calculate 19/100 * 723 = 0.19*723 = 137.37. | percentages |
10,022 | exponents | easy | What is 4^4? | 256 | 4^4 means multiply 4 by itself 4 times: 4*4*4*4 = 256. | exponents |
10,023 | calculus | medium | What is the derivative of 1x^5 with respect to x? | 5x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^5] = 1*5*x^4 = 5x^4. | derivative |
10,024 | arithmetic | easy | What is 595 + 553? | 1148 | Add the two numbers: 595 + 553 = 1148. | basic_operations |
10,025 | roots | easy | What is the square root of 1024? | 32 | Find number that when squared gives 1024. 32*32=1024, so sqrt(1024)=32. | square_roots |
10,026 | fractions | medium | What is 14/3 + 7/2? Give as simplified fraction. | 49/6 | Common denominator 3*2=6. 14/3=28/6, 7/2=21/6. Sum = 49/6 = 49/6 simplified. | fraction_operations |
10,027 | geometry | easy | Find the area of a rectangle with length 32 and width 82. | 2624 | Area = length * width = 32*82 = 2624. | rectangle_area |
10,028 | 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 |
10,029 | algebra | easy | Solve for x: 19x + 15 = 15 | 0 | Subtract 15 from both sides: 19x = 15-15=0. Then divide by 19: x = 0/19 = 0. | linear_equation |
10,030 | 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 |
10,031 | geometry | easy | Find the area of a triangle with base 87 and height 78. | 3393 | Area = 0.5*base*height = 0.5*87*78 = 3393. | triangle_area |
10,032 | word_problems | easy | If you have 97 apples and you buy 29 more apples, how many apples do you have in total? | 126 | Add initial 97 plus bought 29: 97+29=126. | addition_word |
10,033 | statistics | easy | What is the mean (average) of 55, 6, 4? | 21.67 | Mean = sum/count. Sum = 55+6+4=65. Count=3. Mean=65/3=21.67. | mean |
10,034 | statistics | easy | What is the mean (average) of 49, 13, 36, 31? | 32.25 | Mean = sum/count. Sum = 49+13+36+31=129. Count=4. Mean=129/4=32.25. | mean |
10,035 | percentages | easy | What is 57% of 33? | 18.81 | Calculate 57/100 * 33 = 0.57*33 = 18.81. | percentages |
10,036 | arithmetic | easy | What is 11 * 94? | 1034 | Multiply: 11 * 94 = 1034. | basic_operations |
10,037 | statistics | easy | What is the mean (average) of 37, 26, 50, 72? | 46.25 | Mean = sum/count. Sum = 37+26+50+72=185. Count=4. Mean=185/4=46.25. | mean |
10,038 | word_problems | easy | If you have 15 candies and you buy 43 more candies, how many candies do you have in total? | 58 | Add initial 15 plus bought 43: 15+43=58. | addition_word |
10,039 | percentages | easy | What is 65% of 933? | 606.45 | Calculate 65/100 * 933 = 0.65*933 = 606.45. | percentages |
10,040 | word_problems | easy | If you have 60 apples and you buy 12 more apples, how many apples do you have in total? | 72 | Add initial 60 plus bought 12: 60+12=72. | addition_word |
10,041 | number_theory | medium | What is the LCM (least common multiple) of 62 and 91? | 5642 | LCM = |62*91| / GCD(62,91). GCD=1, so LCM=5642/1=5642. | lcm |
10,042 | exponents | easy | What is 2^4? | 16 | 2^4 means multiply 2 by itself 4 times: 2*2*2*2 = 16. | exponents |
10,043 | geometry | easy | Find the area of a circle with radius 33. Use pi=3.14159, round to 2 decimals. | 3421.19 | Area = pi*r^2 = 3.14159*33^2 = 3.14159*1089 = 3421.19. | circle_area |
10,044 | 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 |
10,045 | arithmetic | easy | What is 5351 divided by 69? Give answer to 2 decimal places. | 77.55 | Calculate 5351/ 69 = 77.5507, rounded to 2 decimals is 77.55. | division |
10,046 | exponents | easy | What is 3^4? | 81 | 3^4 means multiply 3 by itself 4 times: 3*3*3*3 = 81. | exponents |
10,047 | algebra | medium | Solve for x: x^2 - 11x + 30 = 0 | x = 5, 6 | Factor: (x - 5)(x - 6) = x^2 -(11)x + 30 = 0. So x = 5 or 6. Check sum = 11, product = 30. | quadratic |
10,048 | number_theory | medium | What is the GCD (greatest common divisor) of 30 and 81? | 3 | Find greatest number dividing both 30 and 81. Divisors common, greatest is 3. | gcd |
10,049 | geometry | easy | Find the area of a rectangle with length 93 and width 94. | 8742 | Area = length * width = 93*94 = 8742. | rectangle_area |
10,050 | statistics | easy | What is the mean (average) of 54, 27, 91? | 57.33 | Mean = sum/count. Sum = 54+27+91=172. Count=3. Mean=172/3=57.33. | mean |
10,051 | geometry | easy | Find the area of a triangle with base 23 and height 11. | 126.5 | Area = 0.5*base*height = 0.5*23*11 = 126.5. | triangle_area |
10,052 | algebra | medium | Solve for x: x^2 + 10x + 24 = 0 | x = -6, -4 | Factor: (x - -6)(x - -4) = x^2 -(-10)x + 24 = 0. So x = -6 or -4. Check sum = -10, product = 24. | quadratic |
10,053 | percentages | easy | What is 74% of 891? | 659.34 | Calculate 74/100 * 891 = 0.74*891 = 659.34. | percentages |
10,054 | 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 |
10,055 | arithmetic | easy | What is 15 + 473 * 90? Remember order of operations. | 42585 | Order of operations (PEMDAS): first 473*90=42570, then 15+42570=42585. | basic_operations |
10,056 | algebra | easy | Solve for x: 1x - 13 = -16 | -3 | Add 13 to both sides: 1x = -16+13=-3. Then x = -3/1 = -3. | linear_equation |
10,057 | geometry | easy | Find the area of a circle with radius 27. Use pi=3.14159, round to 2 decimals. | 2290.22 | Area = pi*r^2 = 3.14159*27^2 = 3.14159*729 = 2290.22. | circle_area |
10,058 | word_problems | easy | If you have 66 dollars and you buy 5 more dollars, how many dollars do you have in total? | 71 | Add initial 66 plus bought 5: 66+5=71. | addition_word |
10,059 | geometry | easy | Find the area of a rectangle with length 94 and width 60. | 5640 | Area = length * width = 94*60 = 5640. | rectangle_area |
10,060 | calculus | medium | What is the derivative of 1x^5 with respect to x? | 5x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^5] = 1*5*x^4 = 5x^4. | derivative |
10,061 | exponents | easy | What is 7^5? | 16807 | 7^5 means multiply 7 by itself 5 times: 7*7*7*7*7 = 16807. | exponents |
10,062 | percentages | easy | What is 74% of 87? | 64.38 | Calculate 74/100 * 87 = 0.74*87 = 64.38. | percentages |
10,063 | arithmetic | easy | What is 18656 / 53? | 352 | Divide: 18656 ÷ 53 = 352 because 53*352=18656. | division |
10,064 | number_theory | medium | What is the LCM (least common multiple) of 57 and 84? | 1596 | LCM = |57*84| / GCD(57,84). GCD=3, so LCM=4788/3=1596. | lcm |
10,065 | statistics | easy | What is the mean (average) of 58, 97, 52, 48, 61? | 63.2 | Mean = sum/count. Sum = 58+97+52+48+61=316. Count=5. Mean=316/5=63.2. | mean |
10,066 | 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 |
10,067 | calculus | medium | What is the derivative of 5x^8 with respect to x? | 40x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^8] = 5*8*x^7 = 40x^7. | derivative |
10,068 | statistics | easy | What is the mean (average) of 6, 72, 46, 17? | 35.25 | Mean = sum/count. Sum = 6+72+46+17=141. Count=4. Mean=141/4=35.25. | mean |
10,069 | arithmetic | easy | What is 688 - 513? | 175 | Subtract: 688 - 513 = 175. | basic_operations |
10,070 | algebra | easy | Solve for x: 19x + 5 = -14 | -1 | Subtract 5 from both sides: 19x = -14-5=-19. Then divide by 19: x = -19/19 = -1. | linear_equation |
10,071 | 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 |
10,072 | algebra | medium | Solve for x: x^2 + 3x - 40 = 0 | x = -8, 5 | Factor: (x - -8)(x - 5) = x^2 -(-3)x + -40 = 0. So x = -8 or 5. Check sum = -3, product = -40. | quadratic |
10,073 | number_theory | medium | What is the LCM (least common multiple) of 8 and 37? | 296 | LCM = |8*37| / GCD(8,37). GCD=1, so LCM=296/1=296. | lcm |
10,074 | algebra | easy | Solve for x: 19x + 21 = 249 | 12 | Subtract 21 from both sides: 19x = 249-21=228. Then divide by 19: x = 228/19 = 12. | linear_equation |
10,075 | statistics | easy | What is the mean (average) of 60, 47, 39? | 48.67 | Mean = sum/count. Sum = 60+47+39=146. Count=3. Mean=146/3=48.67. | mean |
10,076 | geometry | easy | Find the perimeter of a rectangle with length 22 and width 1. | 46 | Perimeter = 2*(length+width) = 2*(22+1) = 2*23 = 46. | rectangle_perim |
10,077 | 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 |
10,078 | number_theory | medium | What is the LCM (least common multiple) of 89 and 6? | 534 | LCM = |89*6| / GCD(89,6). GCD=1, so LCM=534/1=534. | lcm |
10,079 | algebra | medium | Solve for x: x^2 - 16x + 63 = 0 | x = 9, 7 | Factor: (x - 9)(x - 7) = x^2 -(16)x + 63 = 0. So x = 9 or 7. Check sum = 16, product = 63. | quadratic |
10,080 | word_problems | easy | If you have 91 pencils and you buy 15 more pencils, how many pencils do you have in total? | 106 | Add initial 91 plus bought 15: 91+15=106. | addition_word |
10,081 | 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 |
10,082 | geometry | easy | Find the area of a rectangle with length 8 and width 49. | 392 | Area = length * width = 8*49 = 392. | rectangle_area |
10,083 | statistics | easy | What is the mean (average) of 40, 54, 56? | 50 | Mean = sum/count. Sum = 40+54+56=150. Count=3. Mean=150/3=50.0. | mean |
10,084 | fractions | medium | What is 19/3 + 8/7? Give as simplified fraction. | 157/21 | Common denominator 3*7=21. 19/3=133/21, 8/7=24/21. Sum = 157/21 = 157/21 simplified. | fraction_operations |
10,085 | geometry | easy | Find the perimeter of a rectangle with length 8 and width 25. | 66 | Perimeter = 2*(length+width) = 2*(8+25) = 2*33 = 66. | rectangle_perim |
10,086 | arithmetic | easy | What is 31 * 31? | 961 | Multiply: 31 * 31 = 961. | basic_operations |
10,087 | arithmetic | easy | What is 34 + 86 * 15? Remember order of operations. | 1324 | Order of operations (PEMDAS): first 86*15=1290, then 34+1290=1324. | basic_operations |
10,088 | number_theory | medium | What is the LCM (least common multiple) of 33 and 65? | 2145 | LCM = |33*65| / GCD(33,65). GCD=1, so LCM=2145/1=2145. | lcm |
10,089 | 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 |
10,090 | statistics | easy | What is the mean (average) of 48, 18, 90, 38? | 48.5 | Mean = sum/count. Sum = 48+18+90+38=194. Count=4. Mean=194/4=48.5. | mean |
10,091 | number_theory | medium | What is the LCM (least common multiple) of 20 and 73? | 1460 | LCM = |20*73| / GCD(20,73). GCD=1, so LCM=1460/1=1460. | lcm |
10,092 | arithmetic | easy | What is 1755 / 45? | 39 | Divide: 1755 ÷ 45 = 39 because 45*39=1755. | division |
10,093 | 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 |
10,094 | word_problems | easy | If you have 37 candies and you buy 23 more candies, how many candies do you have in total? | 60 | Add initial 37 plus bought 23: 37+23=60. | addition_word |
10,095 | fractions | medium | What is 11/4 * 15/20? Give as simplified fraction. | 33/16 | Multiply numerators: 11*15=165. Denominators: 4*20=80. Simplify by gcd 5 to get 33/16. | fraction_operations |
10,096 | fractions | medium | What is 17/16 - 3/9? Give as simplified fraction. | 35/48 | Common denominator 144. Numerator 153-48=105. So 105/144 simplifies to 35/48. | fraction_operations |
10,097 | number_theory | medium | What is the LCM (least common multiple) of 51 and 55? | 2805 | LCM = |51*55| / GCD(51,55). GCD=1, so LCM=2805/1=2805. | lcm |
10,098 | percentages | easy | What is 85% of 209? | 177.65 | Calculate 85/100 * 209 = 0.85*209 = 177.65. | percentages |
10,099 | number_theory | medium | What is the LCM (least common multiple) of 91 and 96? | 8736 | LCM = |91*96| / GCD(91,96). GCD=1, so LCM=8736/1=8736. | lcm |
10,100 | geometry | easy | Find the area of a rectangle with length 60 and width 84. | 5040 | Area = length * width = 60*84 = 5040. | rectangle_area |
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