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 |
|---|---|---|---|---|---|---|
13,101 | fractions | medium | What is 7/18 * 1/16? Give as simplified fraction. | 7/288 | Multiply numerators: 7*1=7. Denominators: 18*16=288. Simplify by gcd 1 to get 7/288. | fraction_operations |
13,102 | algebra | easy | Solve for x: 13x + 30 = 82 | 4 | Subtract 30 from both sides: 13x = 82-30=52. Then divide by 13: x = 52/13 = 4. | linear_equation |
13,103 | arithmetic | easy | What is 592 + 690? | 1282 | Add the two numbers: 592 + 690 = 1282. | basic_operations |
13,104 | word_problems | easy | If you have 52 apples and you buy 2 more apples, how many apples do you have in total? | 54 | Add initial 52 plus bought 2: 52+2=54. | addition_word |
13,105 | word_problems | easy | If you have 45 dollars and you buy 1 more dollars, how many dollars do you have in total? | 46 | Add initial 45 plus bought 1: 45+1=46. | addition_word |
13,106 | 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 |
13,107 | calculus | medium | What is the derivative of 6x^4 with respect to x? | 24x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^4] = 6*4*x^3 = 24x^3. | derivative |
13,108 | arithmetic | easy | What is 51 * 76? | 3876 | Multiply: 51 * 76 = 3876. | basic_operations |
13,109 | algebra | easy | Solve for x: 6x - 25 = -85 | -10 | Add 25 to both sides: 6x = -85+25=-60. Then x = -60/6 = -10. | linear_equation |
13,110 | exponents | easy | What is 4^2? | 16 | 4^2 means multiply 4 by itself 2 times: 4*4 = 16. | exponents |
13,111 | geometry | easy | Find the perimeter of a rectangle with length 3 and width 8. | 22 | Perimeter = 2*(length+width) = 2*(3+8) = 2*11 = 22. | rectangle_perim |
13,112 | 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 |
13,113 | arithmetic | easy | What is 2548 divided by 6? Give answer to 2 decimal places. | 424.67 | Calculate 2548/ 6 = 424.6667, rounded to 2 decimals is 424.67. | division |
13,114 | arithmetic | easy | What is 41792 divided by 96? Give answer to 2 decimal places. | 435.33 | Calculate 41792/ 96 = 435.3333, rounded to 2 decimals is 435.33. | division |
13,115 | percentages | easy | What is 44% of 606? | 266.64 | Calculate 44/100 * 606 = 0.44*606 = 266.64. | percentages |
13,116 | arithmetic | easy | What is 781 - 688? | 93 | Subtract: 781 - 688 = 93. | basic_operations |
13,117 | algebra | easy | Solve for x: 2x - 31 = -1 | 15 | Add 31 to both sides: 2x = -1+31=30. Then x = 30/2 = 15. | linear_equation |
13,118 | calculus | medium | What is the derivative of 3x^2 with respect to x? | 6x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^2] = 3*2*x^1 = 6x. | derivative |
13,119 | algebra | easy | Solve for x: 7x - 30 = 75 | 15 | Add 30 to both sides: 7x = 75+30=105. Then x = 105/7 = 15. | linear_equation |
13,120 | 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 |
13,121 | arithmetic | easy | What is 72 / 36? | 2 | Divide: 72 ÷ 36 = 2 because 36*2=72. | division |
13,122 | roots | easy | What is the square root of 400? | 20 | Find number that when squared gives 400. 20*20=400, so sqrt(400)=20. | square_roots |
13,123 | algebra | easy | Solve for x: 5x - 17 = 73 | 18 | Add 17 to both sides: 5x = 73+17=90. Then x = 90/5 = 18. | linear_equation |
13,124 | algebra | easy | Solve for x: 6x - 14 = -44 | -5 | Add 14 to both sides: 6x = -44+14=-30. Then x = -30/6 = -5. | linear_equation |
13,125 | arithmetic | easy | What is 153 + 237? | 390 | Add the two numbers: 153 + 237 = 390. | basic_operations |
13,126 | arithmetic | easy | What is 16 + 28 * 13? Remember order of operations. | 380 | Order of operations (PEMDAS): first 28*13=364, then 16+364=380. | basic_operations |
13,127 | 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 |
13,128 | geometry | easy | Find the perimeter of a rectangle with length 43 and width 8. | 102 | Perimeter = 2*(length+width) = 2*(43+8) = 2*51 = 102. | rectangle_perim |
13,129 | statistics | easy | What is the mean (average) of 13, 92, 30, 43, 30? | 41.6 | Mean = sum/count. Sum = 13+92+30+43+30=208. Count=5. Mean=208/5=41.6. | mean |
13,130 | algebra | medium | Solve for x: x^2 - 9x = 0 | x = 9, 0 | Factor: (x - 9)(x - 0) = x^2 -(9)x + 0 = 0. So x = 9 or 0. Check sum = 9, product = 0. | quadratic |
13,131 | calculus | medium | What is the derivative of 8x^2 with respect to x? | 16x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^2] = 8*2*x^1 = 16x. | derivative |
13,132 | 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 |
13,133 | geometry | easy | Find the area of a triangle with base 36 and height 53. | 954 | Area = 0.5*base*height = 0.5*36*53 = 954. | triangle_area |
13,134 | statistics | easy | What is the mean (average) of 37, 8, 99, 69? | 53.25 | Mean = sum/count. Sum = 37+8+99+69=213. Count=4. Mean=213/4=53.25. | mean |
13,135 | word_problems | easy | If you have 63 dollars and you buy 38 more dollars, how many dollars do you have in total? | 101 | Add initial 63 plus bought 38: 63+38=101. | addition_word |
13,136 | fractions | medium | What is 13/4 * 9/2? Give as simplified fraction. | 117/8 | Multiply numerators: 13*9=117. Denominators: 4*2=8. Simplify by gcd 1 to get 117/8. | fraction_operations |
13,137 | fractions | medium | What is 1/16 - 2/3? Give as simplified fraction. | -29/48 | Common denominator 48. Numerator 3-32=-29. So -29/48 simplifies to -29/48. | fraction_operations |
13,138 | percentages | easy | What is 31% of 386? | 119.66 | Calculate 31/100 * 386 = 0.31*386 = 119.66. | percentages |
13,139 | arithmetic | easy | What is 132 + 497? | 629 | Add the two numbers: 132 + 497 = 629. | basic_operations |
13,140 | roots | easy | What is the square root of 784? | 28 | Find number that when squared gives 784. 28*28=784, so sqrt(784)=28. | square_roots |
13,141 | statistics | easy | What is the mean (average) of 21, 54, 9, 63, 96? | 48.6 | Mean = sum/count. Sum = 21+54+9+63+96=243. Count=5. Mean=243/5=48.6. | mean |
13,142 | fractions | medium | What is 14/7 - 19/6? Give as simplified fraction. | -7/6 | Common denominator 42. Numerator 84-133=-49. So -49/42 simplifies to -7/6. | fraction_operations |
13,143 | roots | easy | What is the square root of 1521? | 39 | Find number that when squared gives 1521. 39*39=1521, so sqrt(1521)=39. | square_roots |
13,144 | statistics | easy | What is the mean (average) of 58, 59, 26, 70, 93? | 61.2 | Mean = sum/count. Sum = 58+59+26+70+93=306. Count=5. Mean=306/5=61.2. | mean |
13,145 | algebra | medium | Solve for x: x^2 + 5x + 4 = 0 | x = -1, -4 | Factor: (x - -1)(x - -4) = x^2 -(-5)x + 4 = 0. So x = -1 or -4. Check sum = -5, product = 4. | quadratic |
13,146 | algebra | easy | Solve for x: 3x - 15 = 6 | 7 | Add 15 to both sides: 3x = 6+15=21. Then x = 21/3 = 7. | linear_equation |
13,147 | algebra | medium | Solve for x: x^2 - 4x - 45 = 0 | x = 9, -5 | Factor: (x - 9)(x - -5) = x^2 -(4)x + -45 = 0. So x = 9 or -5. Check sum = 4, product = -45. | quadratic |
13,148 | algebra | medium | Solve for x: x^2 + 10x + 25 = 0 | x = -5 | Factor as (x - -5)^2 = 0, so root is -5 (double root). Sum of roots = -10, product = 25. | quadratic |
13,149 | percentages | easy | What is 26% of 535? | 139.1 | Calculate 26/100 * 535 = 0.26*535 = 139.1. | percentages |
13,150 | arithmetic | easy | What is 202 + 513? | 715 | Add the two numbers: 202 + 513 = 715. | basic_operations |
13,151 | fractions | medium | What is 11/2 - 13/6? Give as simplified fraction. | 10/3 | Common denominator 12. Numerator 66-26=40. So 40/12 simplifies to 10/3. | fraction_operations |
13,152 | arithmetic | easy | What is 790 - 595? | 195 | Subtract: 790 - 595 = 195. | basic_operations |
13,153 | arithmetic | easy | What is 899 + 737? | 1636 | Add the two numbers: 899 + 737 = 1636. | basic_operations |
13,154 | exponents | easy | What is 3^3? | 27 | 3^3 means multiply 3 by itself 3 times: 3*3*3 = 27. | exponents |
13,155 | exponents | easy | What is 7^3? | 343 | 7^3 means multiply 7 by itself 3 times: 7*7*7 = 343. | exponents |
13,156 | algebra | medium | Solve for x: x^2 - 2x - 48 = 0 | x = 8, -6 | Factor: (x - 8)(x - -6) = x^2 -(2)x + -48 = 0. So x = 8 or -6. Check sum = 2, product = -48. | quadratic |
13,157 | geometry | easy | Find the area of a circle with radius 25. Use pi=3.14159, round to 2 decimals. | 1963.5 | Area = pi*r^2 = 3.14159*25^2 = 3.14159*625 = 1963.5. | circle_area |
13,158 | word_problems | easy | If you have 91 pencils and you buy 2 more pencils, how many pencils do you have in total? | 93 | Add initial 91 plus bought 2: 91+2=93. | addition_word |
13,159 | percentages | easy | What is 74% of 724? | 535.76 | Calculate 74/100 * 724 = 0.74*724 = 535.76. | percentages |
13,160 | percentages | easy | What is 90% of 660? | 594 | Calculate 90/100 * 660 = 0.9*660 = 594. | percentages |
13,161 | number_theory | medium | What is the LCM (least common multiple) of 5 and 36? | 180 | LCM = |5*36| / GCD(5,36). GCD=1, so LCM=180/1=180. | lcm |
13,162 | algebra | medium | Solve for x: x^2 - 5x - 36 = 0 | x = 9, -4 | Factor: (x - 9)(x - -4) = x^2 -(5)x + -36 = 0. So x = 9 or -4. Check sum = 5, product = -36. | quadratic |
13,163 | fractions | medium | What is 15/10 + 4/13? Give as simplified fraction. | 47/26 | Common denominator 10*13=130. 15/10=195/130, 4/13=40/130. Sum = 235/130 = 47/26 simplified. | fraction_operations |
13,164 | 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 |
13,165 | percentages | easy | What is 27% of 733? | 197.91 | Calculate 27/100 * 733 = 0.27*733 = 197.91. | percentages |
13,166 | word_problems | easy | If you have 70 pencils and you buy 42 more pencils, how many pencils do you have in total? | 112 | Add initial 70 plus bought 42: 70+42=112. | addition_word |
13,167 | number_theory | medium | What is the GCD (greatest common divisor) of 80 and 11? | 1 | Find greatest number dividing both 80 and 11. Divisors common, greatest is 1. | gcd |
13,168 | 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 |
13,169 | arithmetic | easy | What is 655 - 594? | 61 | Subtract: 655 - 594 = 61. | basic_operations |
13,170 | statistics | easy | What is the mean (average) of 74, 45, 8, 66? | 48.25 | Mean = sum/count. Sum = 74+45+8+66=193. Count=4. Mean=193/4=48.25. | mean |
13,171 | algebra | medium | Solve for x: x^2 - 6x + 5 = 0 | x = 1, 5 | Factor: (x - 1)(x - 5) = x^2 -(6)x + 5 = 0. So x = 1 or 5. Check sum = 6, product = 5. | quadratic |
13,172 | algebra | easy | Solve for x: 8x - 27 = -91 | -8 | Add 27 to both sides: 8x = -91+27=-64. Then x = -64/8 = -8. | linear_equation |
13,173 | arithmetic | easy | What is 54 * 9? | 486 | Multiply: 54 * 9 = 486. | basic_operations |
13,174 | exponents | easy | What is 10^4? | 10000 | 10^4 means multiply 10 by itself 4 times: 10*10*10*10 = 10000. | exponents |
13,175 | calculus | medium | What is the derivative of 8x^7 with respect to x? | 56x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^7] = 8*7*x^6 = 56x^6. | derivative |
13,176 | exponents | easy | What is 9^4? | 6561 | 9^4 means multiply 9 by itself 4 times: 9*9*9*9 = 6561. | exponents |
13,177 | algebra | medium | Solve for x: x^2 - 2x - 63 = 0 | x = 9, -7 | Factor: (x - 9)(x - -7) = x^2 -(2)x + -63 = 0. So x = 9 or -7. Check sum = 2, product = -63. | quadratic |
13,178 | geometry | easy | Find the area of a triangle with base 32 and height 95. | 1520 | Area = 0.5*base*height = 0.5*32*95 = 1520. | triangle_area |
13,179 | number_theory | medium | What is the LCM (least common multiple) of 83 and 49? | 4067 | LCM = |83*49| / GCD(83,49). GCD=1, so LCM=4067/1=4067. | lcm |
13,180 | arithmetic | easy | What is 654 - 570? | 84 | Subtract: 654 - 570 = 84. | basic_operations |
13,181 | algebra | easy | Solve for x: 15x + 34 = -266 | -20 | Subtract 34 from both sides: 15x = -266-34=-300. Then divide by 15: x = -300/15 = -20. | linear_equation |
13,182 | algebra | medium | Solve for x: x^2 + 6x = 0 | x = 0, -6 | Factor: (x - 0)(x - -6) = x^2 -(-6)x + 0 = 0. So x = 0 or -6. Check sum = -6, product = 0. | quadratic |
13,183 | number_theory | medium | What is the LCM (least common multiple) of 82 and 86? | 3526 | LCM = |82*86| / GCD(82,86). GCD=2, so LCM=7052/2=3526. | lcm |
13,184 | arithmetic | easy | What is 6112 / 16? | 382 | Divide: 6112 ÷ 16 = 382 because 16*382=6112. | division |
13,185 | number_theory | medium | What is the LCM (least common multiple) of 46 and 95? | 4370 | LCM = |46*95| / GCD(46,95). GCD=1, so LCM=4370/1=4370. | lcm |
13,186 | algebra | medium | Solve for x: x^2 - 9x - 10 = 0 | x = 10, -1 | Factor: (x - 10)(x - -1) = x^2 -(9)x + -10 = 0. So x = 10 or -1. Check sum = 9, product = -10. | quadratic |
13,187 | arithmetic | easy | What is 433 - 147? | 286 | Subtract: 433 - 147 = 286. | basic_operations |
13,188 | arithmetic | easy | What is 805 - 663? | 142 | Subtract: 805 - 663 = 142. | basic_operations |
13,189 | roots | easy | What is the square root of 1369? | 37 | Find number that when squared gives 1369. 37*37=1369, so sqrt(1369)=37. | square_roots |
13,190 | calculus | medium | What is the derivative of 8x^4 with respect to x? | 32x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^4] = 8*4*x^3 = 32x^3. | derivative |
13,191 | arithmetic | easy | What is 255 + 206 * 55? Remember order of operations. | 11585 | Order of operations (PEMDAS): first 206*55=11330, then 255+11330=11585. | basic_operations |
13,192 | exponents | easy | What is 7^3? | 343 | 7^3 means multiply 7 by itself 3 times: 7*7*7 = 343. | exponents |
13,193 | algebra | easy | Solve for x: 1x + 5 = 5 | 0 | Subtract 5 from both sides: 1x = 5-5=0. Then divide by 1: x = 0/1 = 0. | linear_equation |
13,194 | geometry | easy | Find the perimeter of a rectangle with length 18 and width 53. | 142 | Perimeter = 2*(length+width) = 2*(18+53) = 2*71 = 142. | rectangle_perim |
13,195 | arithmetic | easy | What is 303 + 226? | 529 | Add the two numbers: 303 + 226 = 529. | basic_operations |
13,196 | fractions | medium | What is 16/4 * 12/6? Give as simplified fraction. | 8 | Multiply numerators: 16*12=192. Denominators: 4*6=24. Simplify by gcd 24 to get 8. | fraction_operations |
13,197 | geometry | easy | Find the perimeter of a rectangle with length 16 and width 6. | 44 | Perimeter = 2*(length+width) = 2*(16+6) = 2*22 = 44. | rectangle_perim |
13,198 | arithmetic | easy | What is 32 * 84? | 2688 | Multiply: 32 * 84 = 2688. | basic_operations |
13,199 | number_theory | medium | What is the GCD (greatest common divisor) of 31 and 94? | 1 | Find greatest number dividing both 31 and 94. Divisors common, greatest is 1. | gcd |
13,200 | 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 |
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