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 |
|---|---|---|---|---|---|---|
6,101 | word_problems | easy | If you have 60 pencils and you buy 16 more pencils, how many pencils do you have in total? | 76 | Add initial 60 plus bought 16: 60+16=76. | addition_word |
6,102 | arithmetic | easy | What is 553 + 228? | 781 | Add the two numbers: 553 + 228 = 781. | basic_operations |
6,103 | 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 |
6,104 | arithmetic | easy | What is 94 * 79? | 7426 | Multiply: 94 * 79 = 7426. | basic_operations |
6,105 | 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 |
6,106 | percentages | easy | What is 95% of 620? | 589 | Calculate 95/100 * 620 = 0.95*620 = 589. | percentages |
6,107 | percentages | easy | What is 17% of 474? | 80.58 | Calculate 17/100 * 474 = 0.17*474 = 80.58. | percentages |
6,108 | algebra | medium | Solve for x: x^2 - 25 = 0 | x = 5, -5 | Factor: (x - 5)(x - -5) = x^2 -(0)x + -25 = 0. So x = 5 or -5. Check sum = 0, product = -25. | quadratic |
6,109 | arithmetic | easy | What is 164 + 917? | 1081 | Add the two numbers: 164 + 917 = 1081. | basic_operations |
6,110 | percentages | easy | What is 45% of 668? | 300.6 | Calculate 45/100 * 668 = 0.45*668 = 300.6. | percentages |
6,111 | arithmetic | easy | What is 55 + 8 * 99? Remember order of operations. | 847 | Order of operations (PEMDAS): first 8*99=792, then 55+792=847. | basic_operations |
6,112 | 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 |
6,113 | 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 |
6,114 | calculus | medium | What is the derivative of 6x^7 with respect to x? | 42x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^7] = 6*7*x^6 = 42x^6. | derivative |
6,115 | algebra | medium | Solve for x: x^2 + 1x - 20 = 0 | x = 4, -5 | Factor: (x - 4)(x - -5) = x^2 -(-1)x + -20 = 0. So x = 4 or -5. Check sum = -1, product = -20. | quadratic |
6,116 | exponents | easy | What is 7^3? | 343 | 7^3 means multiply 7 by itself 3 times: 7*7*7 = 343. | exponents |
6,117 | statistics | easy | What is the mean (average) of 80, 96, 81, 76? | 83.25 | Mean = sum/count. Sum = 80+96+81+76=333. Count=4. Mean=333/4=83.25. | mean |
6,118 | number_theory | medium | What is the GCD (greatest common divisor) of 3 and 58? | 1 | Find greatest number dividing both 3 and 58. Divisors common, greatest is 1. | gcd |
6,119 | 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 |
6,120 | arithmetic | easy | What is 767 - 429? | 338 | Subtract: 767 - 429 = 338. | basic_operations |
6,121 | arithmetic | easy | What is 174 + 46? | 220 | Add the two numbers: 174 + 46 = 220. | basic_operations |
6,122 | arithmetic | easy | What is 36408 / 74? | 492 | Divide: 36408 ÷ 74 = 492 because 74*492=36408. | division |
6,123 | algebra | medium | Solve for x: x^2 + 13x + 40 = 0 | x = -5, -8 | Factor: (x - -5)(x - -8) = x^2 -(-13)x + 40 = 0. So x = -5 or -8. Check sum = -13, product = 40. | quadratic |
6,124 | number_theory | medium | What is the GCD (greatest common divisor) of 100 and 39? | 1 | Find greatest number dividing both 100 and 39. Divisors common, greatest is 1. | gcd |
6,125 | arithmetic | easy | What is 5 + 75 * 70? Remember order of operations. | 5255 | Order of operations (PEMDAS): first 75*70=5250, then 5+5250=5255. | basic_operations |
6,126 | algebra | medium | Solve for x: x^2 + 3x - 4 = 0 | x = 1, -4 | Factor: (x - 1)(x - -4) = x^2 -(-3)x + -4 = 0. So x = 1 or -4. Check sum = -3, product = -4. | quadratic |
6,127 | percentages | easy | What is 27% of 178? | 48.06 | Calculate 27/100 * 178 = 0.27*178 = 48.06. | percentages |
6,128 | arithmetic | easy | What is 981 + 172 * 32? Remember order of operations. | 6485 | Order of operations (PEMDAS): first 172*32=5504, then 981+5504=6485. | basic_operations |
6,129 | algebra | easy | Solve for x: 12x + 33 = 45 | 1 | Subtract 33 from both sides: 12x = 45-33=12. Then divide by 12: x = 12/12 = 1. | linear_equation |
6,130 | number_theory | medium | What is the GCD (greatest common divisor) of 8 and 15? | 1 | Find greatest number dividing both 8 and 15. Divisors common, greatest is 1. | gcd |
6,131 | roots | easy | What is the square root of 361? | 19 | Find number that when squared gives 361. 19*19=361, so sqrt(361)=19. | square_roots |
6,132 | 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 |
6,133 | arithmetic | easy | What is 65 * 71? | 4615 | Multiply: 65 * 71 = 4615. | basic_operations |
6,134 | exponents | easy | What is 5^3? | 125 | 5^3 means multiply 5 by itself 3 times: 5*5*5 = 125. | exponents |
6,135 | percentages | easy | What is 25% of 897? | 224.25 | Calculate 25/100 * 897 = 0.25*897 = 224.25. | percentages |
6,136 | algebra | medium | Solve for x: x^2 + 4x + 3 = 0 | x = -1, -3 | Factor: (x - -1)(x - -3) = x^2 -(-4)x + 3 = 0. So x = -1 or -3. Check sum = -4, product = 3. | quadratic |
6,137 | calculus | medium | What is the derivative of 10x^3 with respect to x? | 30x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^3] = 10*3*x^2 = 30x^2. | derivative |
6,138 | 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 |
6,139 | arithmetic | easy | What is 832 - 551? | 281 | Subtract: 832 - 551 = 281. | basic_operations |
6,140 | percentages | easy | What is 16% of 130? | 20.8 | Calculate 16/100 * 130 = 0.16*130 = 20.8. | percentages |
6,141 | geometry | easy | Find the area of a circle with radius 6. Use pi=3.14159, round to 2 decimals. | 113.1 | Area = pi*r^2 = 3.14159*6^2 = 3.14159*36 = 113.1. | circle_area |
6,142 | algebra | medium | Solve for x: x^2 + 1x - 72 = 0 | x = 8, -9 | Factor: (x - 8)(x - -9) = x^2 -(-1)x + -72 = 0. So x = 8 or -9. Check sum = -1, product = -72. | quadratic |
6,143 | word_problems | easy | If you have 47 pencils and you buy 49 more pencils, how many pencils do you have in total? | 96 | Add initial 47 plus bought 49: 47+49=96. | addition_word |
6,144 | calculus | medium | What is the derivative of 10x^4 with respect to x? | 40x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^4] = 10*4*x^3 = 40x^3. | derivative |
6,145 | algebra | easy | Solve for x: 2x - 35 = -57 | -11 | Add 35 to both sides: 2x = -57+35=-22. Then x = -22/2 = -11. | linear_equation |
6,146 | percentages | easy | What is 64% of 412? | 263.68 | Calculate 64/100 * 412 = 0.64*412 = 263.68. | percentages |
6,147 | fractions | medium | What is 3/17 * 15/11? Give as simplified fraction. | 45/187 | Multiply numerators: 3*15=45. Denominators: 17*11=187. Simplify by gcd 1 to get 45/187. | fraction_operations |
6,148 | number_theory | medium | What is the GCD (greatest common divisor) of 36 and 21? | 3 | Find greatest number dividing both 36 and 21. Divisors common, greatest is 3. | gcd |
6,149 | arithmetic | easy | What is 394 - 187? | 207 | Subtract: 394 - 187 = 207. | basic_operations |
6,150 | fractions | medium | What is 15/12 * 20/5? Give as simplified fraction. | 5 | Multiply numerators: 15*20=300. Denominators: 12*5=60. Simplify by gcd 60 to get 5. | fraction_operations |
6,151 | algebra | easy | Solve for x: 6x + 0 = 48 | 8 | Subtract 0 from both sides: 6x = 48-0=48. Then divide by 6: x = 48/6 = 8. | linear_equation |
6,152 | arithmetic | easy | What is 720 - 235? | 485 | Subtract: 720 - 235 = 485. | basic_operations |
6,153 | calculus | medium | What is the derivative of 7x^3 with respect to x? | 21x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^3] = 7*3*x^2 = 21x^2. | derivative |
6,154 | geometry | easy | Find the circumference of a circle with radius 21. Use pi=3.14159, round to 2 decimals. | 131.95 | Circumference = 2*pi*r = 2*3.14159*21 = 131.95. | circle_circum |
6,155 | algebra | easy | Solve for x: 17x + 30 = 115 | 5 | Subtract 30 from both sides: 17x = 115-30=85. Then divide by 17: x = 85/17 = 5. | linear_equation |
6,156 | geometry | easy | Find the circumference of a circle with radius 7. Use pi=3.14159, round to 2 decimals. | 43.98 | Circumference = 2*pi*r = 2*3.14159*7 = 43.98. | circle_circum |
6,157 | algebra | easy | Solve for x: 1x + 29 = 36 | 7 | Subtract 29 from both sides: 1x = 36-29=7. Then divide by 1: x = 7/1 = 7. | linear_equation |
6,158 | arithmetic | easy | What is 24485 / 59? | 415 | Divide: 24485 ÷ 59 = 415 because 59*415=24485. | division |
6,159 | arithmetic | easy | What is 5 + 585? | 590 | Add the two numbers: 5 + 585 = 590. | basic_operations |
6,160 | 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 |
6,161 | geometry | easy | Find the area of a rectangle with length 25 and width 22. | 550 | Area = length * width = 25*22 = 550. | rectangle_area |
6,162 | arithmetic | easy | What is 1820 / 10? | 182 | Divide: 1820 ÷ 10 = 182 because 10*182=1820. | division |
6,163 | number_theory | medium | What is the GCD (greatest common divisor) of 2 and 41? | 1 | Find greatest number dividing both 2 and 41. Divisors common, greatest is 1. | gcd |
6,164 | geometry | easy | Find the perimeter of a rectangle with length 93 and width 99. | 384 | Perimeter = 2*(length+width) = 2*(93+99) = 2*192 = 384. | rectangle_perim |
6,165 | algebra | easy | Solve for x: 4x + 24 = 104 | 20 | Subtract 24 from both sides: 4x = 104-24=80. Then divide by 4: x = 80/4 = 20. | linear_equation |
6,166 | arithmetic | easy | What is 4884 divided by 40? Give answer to 2 decimal places. | 122.1 | Calculate 4884/ 40 = 122.1000, rounded to 2 decimals is 122.1. | division |
6,167 | statistics | easy | What is the mean (average) of 60, 82, 18, 34, 60? | 50.8 | Mean = sum/count. Sum = 60+82+18+34+60=254. Count=5. Mean=254/5=50.8. | mean |
6,168 | algebra | easy | Solve for x: 12x + 38 = -10 | -4 | Subtract 38 from both sides: 12x = -10-38=-48. Then divide by 12: x = -48/12 = -4. | linear_equation |
6,169 | algebra | easy | Solve for x: 5x - 39 = 21 | 12 | Add 39 to both sides: 5x = 21+39=60. Then x = 60/5 = 12. | linear_equation |
6,170 | percentages | easy | What is 91% of 839? | 763.49 | Calculate 91/100 * 839 = 0.91*839 = 763.49. | percentages |
6,171 | geometry | easy | Find the area of a circle with radius 45. Use pi=3.14159, round to 2 decimals. | 6361.73 | Area = pi*r^2 = 3.14159*45^2 = 3.14159*2025 = 6361.73. | circle_area |
6,172 | arithmetic | easy | What is 7161 / 77? | 93 | Divide: 7161 ÷ 77 = 93 because 77*93=7161. | division |
6,173 | statistics | easy | What is the mean (average) of 6, 56, 64, 82? | 52 | Mean = sum/count. Sum = 6+56+64+82=208. Count=4. Mean=208/4=52.0. | mean |
6,174 | calculus | medium | What is the derivative of 10x^8 with respect to x? | 80x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^8] = 10*8*x^7 = 80x^7. | derivative |
6,175 | fractions | medium | What is 7/9 * 6/20? Give as simplified fraction. | 7/30 | Multiply numerators: 7*6=42. Denominators: 9*20=180. Simplify by gcd 6 to get 7/30. | fraction_operations |
6,176 | 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 |
6,177 | arithmetic | easy | What is 21009 / 47? | 447 | Divide: 21009 ÷ 47 = 447 because 47*447=21009. | division |
6,178 | algebra | medium | Solve for x: x^2 - 4x = 0 | x = 0, 4 | Factor: (x - 0)(x - 4) = x^2 -(4)x + 0 = 0. So x = 0 or 4. Check sum = 4, product = 0. | quadratic |
6,179 | exponents | easy | What is 8^4? | 4096 | 8^4 means multiply 8 by itself 4 times: 8*8*8*8 = 4096. | exponents |
6,180 | arithmetic | easy | What is 65 * 46? | 2990 | Multiply: 65 * 46 = 2990. | basic_operations |
6,181 | fractions | medium | What is 18/7 * 11/15? Give as simplified fraction. | 66/35 | Multiply numerators: 18*11=198. Denominators: 7*15=105. Simplify by gcd 3 to get 66/35. | fraction_operations |
6,182 | statistics | easy | What is the mean (average) of 52, 23, 3? | 26 | Mean = sum/count. Sum = 52+23+3=78. Count=3. Mean=78/3=26.0. | mean |
6,183 | geometry | easy | Find the circumference of a circle with radius 31. Use pi=3.14159, round to 2 decimals. | 194.78 | Circumference = 2*pi*r = 2*3.14159*31 = 194.78. | circle_circum |
6,184 | algebra | easy | Solve for x: 19x + 49 = -141 | -10 | Subtract 49 from both sides: 19x = -141-49=-190. Then divide by 19: x = -190/19 = -10. | linear_equation |
6,185 | number_theory | medium | What is the LCM (least common multiple) of 40 and 28? | 280 | LCM = |40*28| / GCD(40,28). GCD=4, so LCM=1120/4=280. | lcm |
6,186 | number_theory | medium | What is the LCM (least common multiple) of 11 and 75? | 825 | LCM = |11*75| / GCD(11,75). GCD=1, so LCM=825/1=825. | lcm |
6,187 | algebra | medium | Solve for x: x^2 - 2x - 35 = 0 | x = 7, -5 | Factor: (x - 7)(x - -5) = x^2 -(2)x + -35 = 0. So x = 7 or -5. Check sum = 2, product = -35. | quadratic |
6,188 | algebra | medium | Solve for x: x^2 + 4x - 5 = 0 | x = -5, 1 | Factor: (x - -5)(x - 1) = x^2 -(-4)x + -5 = 0. So x = -5 or 1. Check sum = -4, product = -5. | quadratic |
6,189 | arithmetic | easy | What is 774 + 109? | 883 | Add the two numbers: 774 + 109 = 883. | basic_operations |
6,190 | calculus | medium | What is the derivative of 5x^3 with respect to x? | 15x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^3] = 5*3*x^2 = 15x^2. | derivative |
6,191 | word_problems | easy | If you have 27 candies and you buy 36 more candies, how many candies do you have in total? | 63 | Add initial 27 plus bought 36: 27+36=63. | addition_word |
6,192 | fractions | medium | What is 19/10 + 6/2? Give as simplified fraction. | 49/10 | Common denominator 10*2=20. 19/10=38/20, 6/2=60/20. Sum = 98/20 = 49/10 simplified. | fraction_operations |
6,193 | 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 |
6,194 | geometry | easy | Find the area of a rectangle with length 37 and width 73. | 2701 | Area = length * width = 37*73 = 2701. | rectangle_area |
6,195 | algebra | medium | Solve for x: x^2 + 1x - 90 = 0 | x = 9, -10 | Factor: (x - 9)(x - -10) = x^2 -(-1)x + -90 = 0. So x = 9 or -10. Check sum = -1, product = -90. | quadratic |
6,196 | arithmetic | easy | What is 720 - 621? | 99 | Subtract: 720 - 621 = 99. | basic_operations |
6,197 | word_problems | easy | If you have 10 candies and you buy 9 more candies, how many candies do you have in total? | 19 | Add initial 10 plus bought 9: 10+9=19. | addition_word |
6,198 | calculus | medium | What is the derivative of 5x^2 with respect to x? | 10x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^2] = 5*2*x^1 = 10x. | derivative |
6,199 | 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 |
6,200 | number_theory | medium | What is the GCD (greatest common divisor) of 56 and 25? | 1 | Find greatest number dividing both 56 and 25. Divisors common, greatest is 1. | gcd |
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