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 |
|---|---|---|---|---|---|---|
3,101 | word_problems | easy | If you have 64 candies and you buy 2 more candies, how many candies do you have in total? | 66 | Add initial 64 plus bought 2: 64+2=66. | addition_word |
3,102 | arithmetic | easy | What is 478 - 38? | 440 | Subtract: 478 - 38 = 440. | basic_operations |
3,103 | fractions | medium | What is 14/3 - 19/4? Give as simplified fraction. | -1/12 | Common denominator 12. Numerator 56-57=-1. So -1/12 simplifies to -1/12. | fraction_operations |
3,104 | 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 |
3,105 | word_problems | easy | If you have 28 dollars and you buy 17 more dollars, how many dollars do you have in total? | 45 | Add initial 28 plus bought 17: 28+17=45. | addition_word |
3,106 | geometry | easy | Find the circumference of a circle with radius 9. Use pi=3.14159, round to 2 decimals. | 56.55 | Circumference = 2*pi*r = 2*3.14159*9 = 56.55. | circle_circum |
3,107 | percentages | easy | What is 81% of 179? | 144.99 | Calculate 81/100 * 179 = 0.81*179 = 144.99. | percentages |
3,108 | algebra | easy | Solve for x: 20x + 33 = -307 | -17 | Subtract 33 from both sides: 20x = -307-33=-340. Then divide by 20: x = -340/20 = -17. | linear_equation |
3,109 | percentages | easy | What is 15% of 671? | 100.65 | Calculate 15/100 * 671 = 0.15*671 = 100.65. | percentages |
3,110 | arithmetic | easy | What is 701 - 189? | 512 | Subtract: 701 - 189 = 512. | basic_operations |
3,111 | arithmetic | easy | What is 567 + 735? | 1302 | Add the two numbers: 567 + 735 = 1302. | basic_operations |
3,112 | 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 |
3,113 | number_theory | medium | What is the GCD (greatest common divisor) of 70 and 92? | 2 | Find greatest number dividing both 70 and 92. Divisors common, greatest is 2. | gcd |
3,114 | percentages | easy | What is 45% of 112? | 50.4 | Calculate 45/100 * 112 = 0.45*112 = 50.4. | percentages |
3,115 | arithmetic | easy | What is 10 + 31 * 15? Remember order of operations. | 475 | Order of operations (PEMDAS): first 31*15=465, then 10+465=475. | basic_operations |
3,116 | number_theory | medium | What is the GCD (greatest common divisor) of 88 and 54? | 2 | Find greatest number dividing both 88 and 54. Divisors common, greatest is 2. | gcd |
3,117 | 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 |
3,118 | algebra | easy | Solve for x: 1x - 9 = 9 | 18 | Add 9 to both sides: 1x = 9+9=18. Then x = 18/1 = 18. | linear_equation |
3,119 | number_theory | medium | What is the LCM (least common multiple) of 43 and 53? | 2279 | LCM = |43*53| / GCD(43,53). GCD=1, so LCM=2279/1=2279. | lcm |
3,120 | statistics | easy | What is the mean (average) of 80, 4, 21, 48? | 38.25 | Mean = sum/count. Sum = 80+4+21+48=153. Count=4. Mean=153/4=38.25. | mean |
3,121 | arithmetic | easy | What is 4 * 14? | 56 | Multiply: 4 * 14 = 56. | basic_operations |
3,122 | roots | easy | What is the square root of 1089? | 33 | Find number that when squared gives 1089. 33*33=1089, so sqrt(1089)=33. | square_roots |
3,123 | number_theory | medium | What is the GCD (greatest common divisor) of 28 and 49? | 7 | Find greatest number dividing both 28 and 49. Divisors common, greatest is 7. | gcd |
3,124 | algebra | easy | Solve for x: 13x + 47 = -148 | -15 | Subtract 47 from both sides: 13x = -148-47=-195. Then divide by 13: x = -195/13 = -15. | linear_equation |
3,125 | arithmetic | easy | What is 65 * 74? | 4810 | Multiply: 65 * 74 = 4810. | basic_operations |
3,126 | 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 |
3,127 | arithmetic | easy | What is 28228 divided by 69? Give answer to 2 decimal places. | 409.1 | Calculate 28228/ 69 = 409.1014, rounded to 2 decimals is 409.1. | division |
3,128 | word_problems | easy | If you have 45 books and you buy 18 more books, how many books do you have in total? | 63 | Add initial 45 plus bought 18: 45+18=63. | addition_word |
3,129 | exponents | easy | What is 5^4? | 625 | 5^4 means multiply 5 by itself 4 times: 5*5*5*5 = 625. | exponents |
3,130 | percentages | easy | What is 99% of 371? | 367.29 | Calculate 99/100 * 371 = 0.99*371 = 367.29. | percentages |
3,131 | percentages | easy | What is 59% of 323? | 190.57 | Calculate 59/100 * 323 = 0.59*323 = 190.57. | percentages |
3,132 | arithmetic | easy | What is 11217 divided by 90? Give answer to 2 decimal places. | 124.63 | Calculate 11217/ 90 = 124.6333, rounded to 2 decimals is 124.63. | division |
3,133 | number_theory | medium | What is the GCD (greatest common divisor) of 11 and 46? | 1 | Find greatest number dividing both 11 and 46. Divisors common, greatest is 1. | gcd |
3,134 | number_theory | medium | What is the GCD (greatest common divisor) of 84 and 62? | 2 | Find greatest number dividing both 84 and 62. Divisors common, greatest is 2. | gcd |
3,135 | word_problems | easy | If you have 58 pencils and you buy 15 more pencils, how many pencils do you have in total? | 73 | Add initial 58 plus bought 15: 58+15=73. | addition_word |
3,136 | algebra | easy | Solve for x: 18x - 19 = 89 | 6 | Add 19 to both sides: 18x = 89+19=108. Then x = 108/18 = 6. | linear_equation |
3,137 | algebra | easy | Solve for x: 20x - 17 = -57 | -2 | Add 17 to both sides: 20x = -57+17=-40. Then x = -40/20 = -2. | linear_equation |
3,138 | 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 |
3,139 | arithmetic | easy | What is 2520 / 12? | 210 | Divide: 2520 ÷ 12 = 210 because 12*210=2520. | division |
3,140 | statistics | easy | What is the mean (average) of 99, 26, 24, 59, 2? | 42 | Mean = sum/count. Sum = 99+26+24+59+2=210. Count=5. Mean=210/5=42.0. | mean |
3,141 | algebra | medium | Solve for x: x^2 + 4x - 21 = 0 | x = -7, 3 | Factor: (x - -7)(x - 3) = x^2 -(-4)x + -21 = 0. So x = -7 or 3. Check sum = -4, product = -21. | quadratic |
3,142 | geometry | easy | Find the area of a triangle with base 92 and height 61. | 2806 | Area = 0.5*base*height = 0.5*92*61 = 2806. | triangle_area |
3,143 | arithmetic | easy | What is 8030 divided by 18? Give answer to 2 decimal places. | 446.11 | Calculate 8030/ 18 = 446.1111, rounded to 2 decimals is 446.11. | division |
3,144 | arithmetic | easy | What is 707 + 171? | 878 | Add the two numbers: 707 + 171 = 878. | basic_operations |
3,145 | calculus | medium | What is the derivative of 6x^5 with respect to x? | 30x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^5] = 6*5*x^4 = 30x^4. | derivative |
3,146 | algebra | easy | Solve for x: 13x + 39 = 234 | 15 | Subtract 39 from both sides: 13x = 234-39=195. Then divide by 13: x = 195/13 = 15. | linear_equation |
3,147 | percentages | easy | What is 92% of 301? | 276.92 | Calculate 92/100 * 301 = 0.92*301 = 276.92. | percentages |
3,148 | arithmetic | easy | What is 20700 / 45? | 460 | Divide: 20700 ÷ 45 = 460 because 45*460=20700. | division |
3,149 | arithmetic | easy | What is 757 - 76? | 681 | Subtract: 757 - 76 = 681. | basic_operations |
3,150 | word_problems | easy | If you have 99 dollars and you buy 28 more dollars, how many dollars do you have in total? | 127 | Add initial 99 plus bought 28: 99+28=127. | addition_word |
3,151 | statistics | easy | What is the mean (average) of 18, 94, 24, 93, 99? | 65.6 | Mean = sum/count. Sum = 18+94+24+93+99=328. Count=5. Mean=328/5=65.6. | mean |
3,152 | arithmetic | easy | What is 76 * 48? | 3648 | Multiply: 76 * 48 = 3648. | basic_operations |
3,153 | word_problems | easy | If you have 53 candies and you buy 21 more candies, how many candies do you have in total? | 74 | Add initial 53 plus bought 21: 53+21=74. | addition_word |
3,154 | algebra | medium | Solve for x: x^2 - 14x + 48 = 0 | x = 6, 8 | Factor: (x - 6)(x - 8) = x^2 -(14)x + 48 = 0. So x = 6 or 8. Check sum = 14, product = 48. | quadratic |
3,155 | geometry | easy | Find the area of a rectangle with length 30 and width 39. | 1170 | Area = length * width = 30*39 = 1170. | rectangle_area |
3,156 | statistics | easy | What is the mean (average) of 7, 73, 67, 68? | 53.75 | Mean = sum/count. Sum = 7+73+67+68=215. Count=4. Mean=215/4=53.75. | mean |
3,157 | 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 |
3,158 | 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 |
3,159 | roots | easy | What is the square root of 2401? | 49 | Find number that when squared gives 2401. 49*49=2401, so sqrt(2401)=49. | square_roots |
3,160 | algebra | medium | Solve for x: x^2 + 15x + 54 = 0 | x = -6, -9 | Factor: (x - -6)(x - -9) = x^2 -(-15)x + 54 = 0. So x = -6 or -9. Check sum = -15, product = 54. | quadratic |
3,161 | fractions | medium | What is 14/18 * 9/20? Give as simplified fraction. | 7/20 | Multiply numerators: 14*9=126. Denominators: 18*20=360. Simplify by gcd 18 to get 7/20. | fraction_operations |
3,162 | roots | easy | What is the square root of 49? | 7 | Find number that when squared gives 49. 7*7=49, so sqrt(49)=7. | square_roots |
3,163 | number_theory | medium | What is the GCD (greatest common divisor) of 37 and 22? | 1 | Find greatest number dividing both 37 and 22. Divisors common, greatest is 1. | gcd |
3,164 | exponents | easy | What is 6^5? | 7776 | 6^5 means multiply 6 by itself 5 times: 6*6*6*6*6 = 7776. | exponents |
3,165 | word_problems | easy | If you have 33 dollars and you buy 11 more dollars, how many dollars do you have in total? | 44 | Add initial 33 plus bought 11: 33+11=44. | addition_word |
3,166 | geometry | easy | Find the area of a triangle with base 97 and height 14. | 679 | Area = 0.5*base*height = 0.5*97*14 = 679. | triangle_area |
3,167 | percentages | easy | What is 86% of 286? | 245.96 | Calculate 86/100 * 286 = 0.86*286 = 245.96. | percentages |
3,168 | algebra | easy | Solve for x: 4x - 24 = 36 | 15 | Add 24 to both sides: 4x = 36+24=60. Then x = 60/4 = 15. | linear_equation |
3,169 | 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 |
3,170 | arithmetic | easy | What is 25 * 1? | 25 | Multiply: 25 * 1 = 25. | basic_operations |
3,171 | arithmetic | easy | What is 55 * 94? | 5170 | Multiply: 55 * 94 = 5170. | basic_operations |
3,172 | algebra | easy | Solve for x: 15x - 13 = -208 | -13 | Add 13 to both sides: 15x = -208+13=-195. Then x = -195/15 = -13. | linear_equation |
3,173 | arithmetic | easy | What is 26476 divided by 58? Give answer to 2 decimal places. | 456.48 | Calculate 26476/ 58 = 456.4828, rounded to 2 decimals is 456.48. | division |
3,174 | geometry | easy | Find the area of a rectangle with length 18 and width 36. | 648 | Area = length * width = 18*36 = 648. | rectangle_area |
3,175 | arithmetic | easy | What is 19364 / 47? | 412 | Divide: 19364 ÷ 47 = 412 because 47*412=19364. | division |
3,176 | arithmetic | easy | What is 335 + 161 * 65? Remember order of operations. | 10800 | Order of operations (PEMDAS): first 161*65=10465, then 335+10465=10800. | basic_operations |
3,177 | arithmetic | easy | What is 724 + 705? | 1429 | Add the two numbers: 724 + 705 = 1429. | basic_operations |
3,178 | 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 |
3,179 | arithmetic | easy | What is 972 + 650 * 81? Remember order of operations. | 53622 | Order of operations (PEMDAS): first 650*81=52650, then 972+52650=53622. | basic_operations |
3,180 | calculus | medium | What is the derivative of 4x^8 with respect to x? | 32x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^8] = 4*8*x^7 = 32x^7. | derivative |
3,181 | fractions | medium | What is 9/17 + 5/17? Give as simplified fraction. | 14/17 | Common denominator 17*17=289. 9/17=153/289, 5/17=85/289. Sum = 238/289 = 14/17 simplified. | fraction_operations |
3,182 | statistics | easy | What is the mean (average) of 17, 26, 82, 12? | 34.25 | Mean = sum/count. Sum = 17+26+82+12=137. Count=4. Mean=137/4=34.25. | mean |
3,183 | fractions | medium | What is 1/15 * 3/17? Give as simplified fraction. | 1/85 | Multiply numerators: 1*3=3. Denominators: 15*17=255. Simplify by gcd 3 to get 1/85. | fraction_operations |
3,184 | fractions | medium | What is 6/3 * 14/10? Give as simplified fraction. | 14/5 | Multiply numerators: 6*14=84. Denominators: 3*10=30. Simplify by gcd 6 to get 14/5. | fraction_operations |
3,185 | calculus | medium | What is the derivative of 10x^7 with respect to x? | 70x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^7] = 10*7*x^6 = 70x^6. | derivative |
3,186 | percentages | easy | What is 82% of 358? | 293.56 | Calculate 82/100 * 358 = 0.82*358 = 293.56. | percentages |
3,187 | statistics | easy | What is the mean (average) of 85, 24, 39, 30, 38? | 43.2 | Mean = sum/count. Sum = 85+24+39+30+38=216. Count=5. Mean=216/5=43.2. | mean |
3,188 | statistics | easy | What is the mean (average) of 81, 51, 77, 46? | 63.75 | Mean = sum/count. Sum = 81+51+77+46=255. Count=4. Mean=255/4=63.75. | mean |
3,189 | statistics | easy | What is the mean (average) of 13, 29, 15, 97? | 38.5 | Mean = sum/count. Sum = 13+29+15+97=154. Count=4. Mean=154/4=38.5. | mean |
3,190 | exponents | easy | What is 8^5? | 32768 | 8^5 means multiply 8 by itself 5 times: 8*8*8*8*8 = 32768. | exponents |
3,191 | roots | easy | What is the square root of 256? | 16 | Find number that when squared gives 256. 16*16=256, so sqrt(256)=16. | square_roots |
3,192 | 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 |
3,193 | algebra | medium | Solve for x: x^2 - 4x = 0 | x = 4, 0 | Factor: (x - 4)(x - 0) = x^2 -(4)x + 0 = 0. So x = 4 or 0. Check sum = 4, product = 0. | quadratic |
3,194 | arithmetic | easy | What is 16422 / 46? | 357 | Divide: 16422 ÷ 46 = 357 because 46*357=16422. | division |
3,195 | statistics | easy | What is the mean (average) of 77, 53, 88, 31? | 62.25 | Mean = sum/count. Sum = 77+53+88+31=249. Count=4. Mean=249/4=62.25. | mean |
3,196 | arithmetic | easy | What is 298 + 275? | 573 | Add the two numbers: 298 + 275 = 573. | basic_operations |
3,197 | 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 |
3,198 | roots | easy | What is the square root of 289? | 17 | Find number that when squared gives 289. 17*17=289, so sqrt(289)=17. | square_roots |
3,199 | roots | easy | What is the square root of 729? | 27 | Find number that when squared gives 729. 27*27=729, so sqrt(729)=27. | square_roots |
3,200 | calculus | medium | What is the derivative of 8x^8 with respect to x? | 64x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^8] = 8*8*x^7 = 64x^7. | derivative |
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