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 |
|---|---|---|---|---|---|---|
730,101 | 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 |
730,102 | arithmetic | easy | What is 1106 / 79? | 14 | Divide: 1106 ÷ 79 = 14 because 79*14=1106. | division |
730,103 | statistics | easy | What is the mean (average) of 98, 79, 94, 33, 22? | 65.2 | Mean = sum/count. Sum = 98+79+94+33+22=326. Count=5. Mean=326/5=65.2. | mean |
730,104 | geometry | easy | Find the circumference of a circle with radius 1. Use pi=3.14159, round to 2 decimals. | 6.28 | Circumference = 2*pi*r = 2*3.14159*1 = 6.28. | circle_circum |
730,105 | statistics | easy | What is the mean (average) of 5, 34, 22? | 20.33 | Mean = sum/count. Sum = 5+34+22=61. Count=3. Mean=61/3=20.33. | mean |
730,106 | algebra | medium | Solve for x: x^2 - 4 = 0 | x = 2, -2 | Factor: (x - 2)(x - -2) = x^2 -(0)x + -4 = 0. So x = 2 or -2. Check sum = 0, product = -4. | quadratic |
730,107 | fractions | medium | What is 11/20 - 6/8? Give as simplified fraction. | -1/5 | Common denominator 160. Numerator 88-120=-32. So -32/160 simplifies to -1/5. | fraction_operations |
730,108 | geometry | easy | Find the perimeter of a rectangle with length 48 and width 20. | 136 | Perimeter = 2*(length+width) = 2*(48+20) = 2*68 = 136. | rectangle_perim |
730,109 | statistics | easy | What is the mean (average) of 43, 37, 97, 64? | 60.25 | Mean = sum/count. Sum = 43+37+97+64=241. Count=4. Mean=241/4=60.25. | mean |
730,110 | arithmetic | easy | What is 46 + 8 * 75? Remember order of operations. | 646 | Order of operations (PEMDAS): first 8*75=600, then 46+600=646. | basic_operations |
730,111 | arithmetic | easy | What is 7854 / 77? | 102 | Divide: 7854 ÷ 77 = 102 because 77*102=7854. | division |
730,112 | calculus | medium | What is the derivative of 9x^3 with respect to x? | 27x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^3] = 9*3*x^2 = 27x^2. | derivative |
730,113 | arithmetic | easy | What is 989 - 983? | 6 | Subtract: 989 - 983 = 6. | basic_operations |
730,114 | calculus | medium | What is the derivative of 1x^4 with respect to x? | 4x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^4] = 1*4*x^3 = 4x^3. | derivative |
730,115 | geometry | easy | Find the perimeter of a rectangle with length 85 and width 60. | 290 | Perimeter = 2*(length+width) = 2*(85+60) = 2*145 = 290. | rectangle_perim |
730,116 | algebra | medium | Solve for x: x^2 - 5x - 50 = 0 | x = -5, 10 | Factor: (x - -5)(x - 10) = x^2 -(5)x + -50 = 0. So x = -5 or 10. Check sum = 5, product = -50. | quadratic |
730,117 | fractions | medium | What is 1/2 * 7/20? Give as simplified fraction. | 7/40 | Multiply numerators: 1*7=7. Denominators: 2*20=40. Simplify by gcd 1 to get 7/40. | fraction_operations |
730,118 | fractions | medium | What is 4/17 - 17/20? Give as simplified fraction. | -209/340 | Common denominator 340. Numerator 80-289=-209. So -209/340 simplifies to -209/340. | fraction_operations |
730,119 | exponents | easy | What is 2^4? | 16 | 2^4 means multiply 2 by itself 4 times: 2*2*2*2 = 16. | exponents |
730,120 | roots | easy | What is the square root of 1600? | 40 | Find number that when squared gives 1600. 40*40=1600, so sqrt(1600)=40. | square_roots |
730,121 | arithmetic | easy | What is 72 * 3? | 216 | Multiply: 72 * 3 = 216. | basic_operations |
730,122 | arithmetic | easy | What is 6398 divided by 66? Give answer to 2 decimal places. | 96.94 | Calculate 6398/ 66 = 96.9394, rounded to 2 decimals is 96.94. | division |
730,123 | 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 |
730,124 | geometry | easy | Find the perimeter of a rectangle with length 67 and width 19. | 172 | Perimeter = 2*(length+width) = 2*(67+19) = 2*86 = 172. | rectangle_perim |
730,125 | calculus | medium | What is the derivative of 6x^8 with respect to x? | 48x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^8] = 6*8*x^7 = 48x^7. | derivative |
730,126 | calculus | medium | What is the derivative of 6x^2 with respect to x? | 12x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^2] = 6*2*x^1 = 12x. | derivative |
730,127 | geometry | easy | Find the circumference of a circle with radius 25. Use pi=3.14159, round to 2 decimals. | 157.08 | Circumference = 2*pi*r = 2*3.14159*25 = 157.08. | circle_circum |
730,128 | word_problems | easy | If you have 82 books and you buy 24 more books, how many books do you have in total? | 106 | Add initial 82 plus bought 24: 82+24=106. | addition_word |
730,129 | 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 |
730,130 | number_theory | medium | What is the GCD (greatest common divisor) of 36 and 93? | 3 | Find greatest number dividing both 36 and 93. Divisors common, greatest is 3. | gcd |
730,131 | statistics | easy | What is the mean (average) of 57, 69, 42? | 56 | Mean = sum/count. Sum = 57+69+42=168. Count=3. Mean=168/3=56.0. | mean |
730,132 | percentages | easy | What is 46% of 846? | 389.16 | Calculate 46/100 * 846 = 0.46*846 = 389.16. | percentages |
730,133 | arithmetic | easy | What is 56 + 47 * 89? Remember order of operations. | 4239 | Order of operations (PEMDAS): first 47*89=4183, then 56+4183=4239. | basic_operations |
730,134 | algebra | easy | Solve for x: 4x + 50 = 50 | 0 | Subtract 50 from both sides: 4x = 50-50=0. Then divide by 4: x = 0/4 = 0. | linear_equation |
730,135 | arithmetic | easy | What is 451 - 307? | 144 | Subtract: 451 - 307 = 144. | basic_operations |
730,136 | geometry | easy | Find the area of a rectangle with length 36 and width 97. | 3492 | Area = length * width = 36*97 = 3492. | rectangle_area |
730,137 | exponents | easy | What is 2^2? | 4 | 2^2 means multiply 2 by itself 2 times: 2*2 = 4. | exponents |
730,138 | 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 |
730,139 | arithmetic | easy | What is 888 + 713 * 21? Remember order of operations. | 15861 | Order of operations (PEMDAS): first 713*21=14973, then 888+14973=15861. | basic_operations |
730,140 | arithmetic | easy | What is 143 + 95 * 63? Remember order of operations. | 6128 | Order of operations (PEMDAS): first 95*63=5985, then 143+5985=6128. | basic_operations |
730,141 | word_problems | easy | If you have 15 dollars and you buy 38 more dollars, how many dollars do you have in total? | 53 | Add initial 15 plus bought 38: 15+38=53. | addition_word |
730,142 | word_problems | easy | If you have 78 apples and you buy 34 more apples, how many apples do you have in total? | 112 | Add initial 78 plus bought 34: 78+34=112. | addition_word |
730,143 | fractions | medium | What is 4/2 - 7/19? Give as simplified fraction. | 31/19 | Common denominator 38. Numerator 76-14=62. So 62/38 simplifies to 31/19. | fraction_operations |
730,144 | word_problems | easy | If you have 24 apples and you buy 29 more apples, how many apples do you have in total? | 53 | Add initial 24 plus bought 29: 24+29=53. | addition_word |
730,145 | arithmetic | easy | What is 3795 / 23? | 165 | Divide: 3795 ÷ 23 = 165 because 23*165=3795. | division |
730,146 | percentages | easy | What is 94% of 830? | 780.2 | Calculate 94/100 * 830 = 0.94*830 = 780.2. | percentages |
730,147 | arithmetic | easy | What is 39 * 19? | 741 | Multiply: 39 * 19 = 741. | basic_operations |
730,148 | 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 |
730,149 | arithmetic | easy | What is 543 + 342 * 30? Remember order of operations. | 10803 | Order of operations (PEMDAS): first 342*30=10260, then 543+10260=10803. | basic_operations |
730,150 | geometry | easy | Find the perimeter of a rectangle with length 28 and width 44. | 144 | Perimeter = 2*(length+width) = 2*(28+44) = 2*72 = 144. | rectangle_perim |
730,151 | algebra | medium | Solve for x: x^2 - 5x = 0 | x = 5, 0 | Factor: (x - 5)(x - 0) = x^2 -(5)x + 0 = 0. So x = 5 or 0. Check sum = 5, product = 0. | quadratic |
730,152 | 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 |
730,153 | arithmetic | easy | What is 1364 / 4? | 341 | Divide: 1364 ÷ 4 = 341 because 4*341=1364. | division |
730,154 | number_theory | medium | What is the GCD (greatest common divisor) of 18 and 72? | 18 | Find greatest number dividing both 18 and 72. Divisors common, greatest is 18. | gcd |
730,155 | word_problems | easy | If you have 95 books and you buy 13 more books, how many books do you have in total? | 108 | Add initial 95 plus bought 13: 95+13=108. | addition_word |
730,156 | arithmetic | easy | What is 22 * 11? | 242 | Multiply: 22 * 11 = 242. | basic_operations |
730,157 | arithmetic | easy | What is 524 + 141 * 40? Remember order of operations. | 6164 | Order of operations (PEMDAS): first 141*40=5640, then 524+5640=6164. | basic_operations |
730,158 | algebra | easy | Solve for x: 4x - 37 = -45 | -2 | Add 37 to both sides: 4x = -45+37=-8. Then x = -8/4 = -2. | linear_equation |
730,159 | roots | easy | What is the square root of 144? | 12 | Find number that when squared gives 144. 12*12=144, so sqrt(144)=12. | square_roots |
730,160 | arithmetic | easy | What is 632 + 317? | 949 | Add the two numbers: 632 + 317 = 949. | basic_operations |
730,161 | arithmetic | easy | What is 33966 / 74? | 459 | Divide: 33966 ÷ 74 = 459 because 74*459=33966. | division |
730,162 | algebra | medium | Solve for x: x^2 + 7x - 30 = 0 | x = -10, 3 | Factor: (x - -10)(x - 3) = x^2 -(-7)x + -30 = 0. So x = -10 or 3. Check sum = -7, product = -30. | quadratic |
730,163 | algebra | medium | Solve for x: x^2 - 9x + 8 = 0 | x = 8, 1 | Factor: (x - 8)(x - 1) = x^2 -(9)x + 8 = 0. So x = 8 or 1. Check sum = 9, product = 8. | quadratic |
730,164 | statistics | easy | What is the mean (average) of 12, 26, 68, 47, 82? | 47 | Mean = sum/count. Sum = 12+26+68+47+82=235. Count=5. Mean=235/5=47.0. | mean |
730,165 | algebra | medium | Solve for x: x^2 + 6x + 9 = 0 | x = -3 | Factor as (x - -3)^2 = 0, so root is -3 (double root). Sum of roots = -6, product = 9. | quadratic |
730,166 | word_problems | easy | If you have 52 books and you buy 34 more books, how many books do you have in total? | 86 | Add initial 52 plus bought 34: 52+34=86. | addition_word |
730,167 | 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 |
730,168 | word_problems | easy | If you have 100 dollars and you buy 13 more dollars, how many dollars do you have in total? | 113 | Add initial 100 plus bought 13: 100+13=113. | addition_word |
730,169 | number_theory | medium | What is the GCD (greatest common divisor) of 59 and 45? | 1 | Find greatest number dividing both 59 and 45. Divisors common, greatest is 1. | gcd |
730,170 | arithmetic | easy | What is 894 + 228 * 52? Remember order of operations. | 12750 | Order of operations (PEMDAS): first 228*52=11856, then 894+11856=12750. | basic_operations |
730,171 | algebra | medium | Solve for x: x^2 + 11x + 18 = 0 | x = -9, -2 | Factor: (x - -9)(x - -2) = x^2 -(-11)x + 18 = 0. So x = -9 or -2. Check sum = -11, product = 18. | quadratic |
730,172 | word_problems | easy | If you have 53 books and you buy 46 more books, how many books do you have in total? | 99 | Add initial 53 plus bought 46: 53+46=99. | addition_word |
730,173 | statistics | easy | What is the mean (average) of 79, 7, 4? | 30 | Mean = sum/count. Sum = 79+7+4=90. Count=3. Mean=90/3=30.0. | mean |
730,174 | 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 |
730,175 | geometry | easy | Find the circumference of a circle with radius 38. Use pi=3.14159, round to 2 decimals. | 238.76 | Circumference = 2*pi*r = 2*3.14159*38 = 238.76. | circle_circum |
730,176 | arithmetic | easy | What is 8 * 60? | 480 | Multiply: 8 * 60 = 480. | basic_operations |
730,177 | fractions | medium | What is 18/17 + 4/15? Give as simplified fraction. | 338/255 | Common denominator 17*15=255. 18/17=270/255, 4/15=68/255. Sum = 338/255 = 338/255 simplified. | fraction_operations |
730,178 | algebra | easy | Solve for x: 17x + 28 = 249 | 13 | Subtract 28 from both sides: 17x = 249-28=221. Then divide by 17: x = 221/17 = 13. | linear_equation |
730,179 | 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 |
730,180 | arithmetic | easy | What is 24 + 677? | 701 | Add the two numbers: 24 + 677 = 701. | basic_operations |
730,181 | number_theory | medium | What is the LCM (least common multiple) of 100 and 100? | 100 | LCM = |100*100| / GCD(100,100). GCD=100, so LCM=10000/100=100. | lcm |
730,182 | algebra | easy | Solve for x: 7x + 24 = 45 | 3 | Subtract 24 from both sides: 7x = 45-24=21. Then divide by 7: x = 21/7 = 3. | linear_equation |
730,183 | arithmetic | easy | What is 35 * 81? | 2835 | Multiply: 35 * 81 = 2835. | basic_operations |
730,184 | exponents | easy | What is 10^5? | 100000 | 10^5 means multiply 10 by itself 5 times: 10*10*10*10*10 = 100000. | exponents |
730,185 | algebra | easy | Solve for x: 18x + 44 = -298 | -19 | Subtract 44 from both sides: 18x = -298-44=-342. Then divide by 18: x = -342/18 = -19. | linear_equation |
730,186 | 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 |
730,187 | arithmetic | easy | What is 576 + 813? | 1389 | Add the two numbers: 576 + 813 = 1389. | basic_operations |
730,188 | arithmetic | easy | What is 652 + 690 * 57? Remember order of operations. | 39982 | Order of operations (PEMDAS): first 690*57=39330, then 652+39330=39982. | basic_operations |
730,189 | arithmetic | easy | What is 479 + 242? | 721 | Add the two numbers: 479 + 242 = 721. | basic_operations |
730,190 | word_problems | easy | If you have 59 apples and you buy 38 more apples, how many apples do you have in total? | 97 | Add initial 59 plus bought 38: 59+38=97. | addition_word |
730,191 | 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 |
730,192 | arithmetic | easy | What is 723 + 34? | 757 | Add the two numbers: 723 + 34 = 757. | basic_operations |
730,193 | arithmetic | easy | What is 14365 / 65? | 221 | Divide: 14365 ÷ 65 = 221 because 65*221=14365. | division |
730,194 | arithmetic | easy | What is 593 + 825? | 1418 | Add the two numbers: 593 + 825 = 1418. | basic_operations |
730,195 | word_problems | easy | If you have 96 dollars and you buy 18 more dollars, how many dollars do you have in total? | 114 | Add initial 96 plus bought 18: 96+18=114. | addition_word |
730,196 | algebra | easy | Solve for x: 10x - 33 = -13 | 2 | Add 33 to both sides: 10x = -13+33=20. Then x = 20/10 = 2. | linear_equation |
730,197 | percentages | easy | What is 68% of 593? | 403.24 | Calculate 68/100 * 593 = 0.68*593 = 403.24. | percentages |
730,198 | arithmetic | easy | What is 869 + 548? | 1417 | Add the two numbers: 869 + 548 = 1417. | basic_operations |
730,199 | word_problems | easy | If you have 70 apples and you buy 17 more apples, how many apples do you have in total? | 87 | Add initial 70 plus bought 17: 70+17=87. | addition_word |
730,200 | geometry | easy | Find the circumference of a circle with radius 45. Use pi=3.14159, round to 2 decimals. | 282.74 | Circumference = 2*pi*r = 2*3.14159*45 = 282.74. | circle_circum |
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