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 |
|---|---|---|---|---|---|---|
8,101 | 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 |
8,102 | geometry | easy | Find the circumference of a circle with radius 20. Use pi=3.14159, round to 2 decimals. | 125.66 | Circumference = 2*pi*r = 2*3.14159*20 = 125.66. | circle_circum |
8,103 | algebra | medium | Solve for x: x^2 - 3x - 40 = 0 | x = -5, 8 | Factor: (x - -5)(x - 8) = x^2 -(3)x + -40 = 0. So x = -5 or 8. Check sum = 3, product = -40. | quadratic |
8,104 | percentages | easy | What is 98% of 663? | 649.74 | Calculate 98/100 * 663 = 0.98*663 = 649.74. | percentages |
8,105 | 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 |
8,106 | 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 |
8,107 | 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 |
8,108 | statistics | easy | What is the mean (average) of 11, 46, 32, 77? | 41.5 | Mean = sum/count. Sum = 11+46+32+77=166. Count=4. Mean=166/4=41.5. | mean |
8,109 | arithmetic | easy | What is 809 - 173? | 636 | Subtract: 809 - 173 = 636. | basic_operations |
8,110 | 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 |
8,111 | percentages | easy | What is 52% of 333? | 173.16 | Calculate 52/100 * 333 = 0.52*333 = 173.16. | percentages |
8,112 | arithmetic | easy | What is 44 + 737? | 781 | Add the two numbers: 44 + 737 = 781. | basic_operations |
8,113 | arithmetic | easy | What is 8 * 56? | 448 | Multiply: 8 * 56 = 448. | basic_operations |
8,114 | word_problems | easy | If you have 57 dollars and you buy 5 more dollars, how many dollars do you have in total? | 62 | Add initial 57 plus bought 5: 57+5=62. | addition_word |
8,115 | exponents | easy | What is 4^5? | 1024 | 4^5 means multiply 4 by itself 5 times: 4*4*4*4*4 = 1024. | exponents |
8,116 | statistics | easy | What is the mean (average) of 95, 91, 42? | 76 | Mean = sum/count. Sum = 95+91+42=228. Count=3. Mean=228/3=76.0. | mean |
8,117 | 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 |
8,118 | arithmetic | easy | What is 732 + 944? | 1676 | Add the two numbers: 732 + 944 = 1676. | basic_operations |
8,119 | arithmetic | easy | What is 16854 / 53? | 318 | Divide: 16854 ÷ 53 = 318 because 53*318=16854. | division |
8,120 | arithmetic | easy | What is 753 - 444? | 309 | Subtract: 753 - 444 = 309. | basic_operations |
8,121 | geometry | easy | Find the area of a triangle with base 29 and height 80. | 1160 | Area = 0.5*base*height = 0.5*29*80 = 1160. | triangle_area |
8,122 | fractions | medium | What is 10/9 * 19/14? Give as simplified fraction. | 95/63 | Multiply numerators: 10*19=190. Denominators: 9*14=126. Simplify by gcd 2 to get 95/63. | fraction_operations |
8,123 | arithmetic | easy | What is 100 * 86? | 8600 | Multiply: 100 * 86 = 8600. | basic_operations |
8,124 | algebra | medium | Solve for x: x^2 + 4x - 5 = 0 | x = 1, -5 | Factor: (x - 1)(x - -5) = x^2 -(-4)x + -5 = 0. So x = 1 or -5. Check sum = -4, product = -5. | quadratic |
8,125 | statistics | easy | What is the mean (average) of 89, 29, 43, 59, 26? | 49.2 | Mean = sum/count. Sum = 89+29+43+59+26=246. Count=5. Mean=246/5=49.2. | mean |
8,126 | percentages | easy | What is 66% of 101? | 66.66 | Calculate 66/100 * 101 = 0.66*101 = 66.66. | percentages |
8,127 | percentages | easy | What is 32% of 21? | 6.72 | Calculate 32/100 * 21 = 0.32*21 = 6.72. | percentages |
8,128 | statistics | easy | What is the mean (average) of 36, 44, 32? | 37.33 | Mean = sum/count. Sum = 36+44+32=112. Count=3. Mean=112/3=37.33. | mean |
8,129 | fractions | medium | What is 2/7 - 8/15? Give as simplified fraction. | -26/105 | Common denominator 105. Numerator 30-56=-26. So -26/105 simplifies to -26/105. | fraction_operations |
8,130 | arithmetic | easy | What is 1906 divided by 24? Give answer to 2 decimal places. | 79.42 | Calculate 1906/ 24 = 79.4167, rounded to 2 decimals is 79.42. | division |
8,131 | geometry | easy | Find the area of a rectangle with length 82 and width 73. | 5986 | Area = length * width = 82*73 = 5986. | rectangle_area |
8,132 | number_theory | medium | What is the LCM (least common multiple) of 25 and 92? | 2300 | LCM = |25*92| / GCD(25,92). GCD=1, so LCM=2300/1=2300. | lcm |
8,133 | algebra | medium | Solve for x: x^2 + 12x + 27 = 0 | x = -9, -3 | Factor: (x - -9)(x - -3) = x^2 -(-12)x + 27 = 0. So x = -9 or -3. Check sum = -12, product = 27. | quadratic |
8,134 | percentages | easy | What is 45% of 46? | 20.7 | Calculate 45/100 * 46 = 0.45*46 = 20.7. | percentages |
8,135 | 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 |
8,136 | 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 |
8,137 | percentages | easy | What is 17% of 335? | 56.95 | Calculate 17/100 * 335 = 0.17*335 = 56.95. | percentages |
8,138 | arithmetic | easy | What is 1250 / 5? | 250 | Divide: 1250 ÷ 5 = 250 because 5*250=1250. | division |
8,139 | number_theory | medium | What is the LCM (least common multiple) of 42 and 69? | 966 | LCM = |42*69| / GCD(42,69). GCD=3, so LCM=2898/3=966. | lcm |
8,140 | arithmetic | easy | What is 90 + 7 * 35? Remember order of operations. | 335 | Order of operations (PEMDAS): first 7*35=245, then 90+245=335. | basic_operations |
8,141 | algebra | easy | Solve for x: 10x - 7 = 43 | 5 | Add 7 to both sides: 10x = 43+7=50. Then x = 50/10 = 5. | linear_equation |
8,142 | exponents | easy | What is 3^2? | 9 | 3^2 means multiply 3 by itself 2 times: 3*3 = 9. | exponents |
8,143 | algebra | medium | Solve for x: x^2 - 2x + 1 = 0 | x = 1 | Factor as (x - 1)^2 = 0, so root is 1 (double root). Sum of roots = 2, product = 1. | quadratic |
8,144 | arithmetic | easy | What is 5 * 63? | 315 | Multiply: 5 * 63 = 315. | basic_operations |
8,145 | arithmetic | easy | What is 45 * 3? | 135 | Multiply: 45 * 3 = 135. | basic_operations |
8,146 | percentages | easy | What is 94% of 706? | 663.64 | Calculate 94/100 * 706 = 0.94*706 = 663.64. | percentages |
8,147 | exponents | easy | What is 11^4? | 14641 | 11^4 means multiply 11 by itself 4 times: 11*11*11*11 = 14641. | exponents |
8,148 | arithmetic | easy | What is 632 + 731? | 1363 | Add the two numbers: 632 + 731 = 1363. | basic_operations |
8,149 | statistics | easy | What is the mean (average) of 46, 64, 16, 51? | 44.25 | Mean = sum/count. Sum = 46+64+16+51=177. Count=4. Mean=177/4=44.25. | mean |
8,150 | 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 |
8,151 | percentages | easy | What is 23% of 982? | 225.86 | Calculate 23/100 * 982 = 0.23*982 = 225.86. | percentages |
8,152 | algebra | easy | Solve for x: 9x + 2 = -43 | -5 | Subtract 2 from both sides: 9x = -43-2=-45. Then divide by 9: x = -45/9 = -5. | linear_equation |
8,153 | arithmetic | easy | What is 861 + 803? | 1664 | Add the two numbers: 861 + 803 = 1664. | basic_operations |
8,154 | algebra | easy | Solve for x: 3x + 35 = 77 | 14 | Subtract 35 from both sides: 3x = 77-35=42. Then divide by 3: x = 42/3 = 14. | linear_equation |
8,155 | number_theory | medium | What is the GCD (greatest common divisor) of 92 and 56? | 4 | Find greatest number dividing both 92 and 56. Divisors common, greatest is 4. | gcd |
8,156 | roots | easy | What is the square root of 81? | 9 | Find number that when squared gives 81. 9*9=81, so sqrt(81)=9. | square_roots |
8,157 | arithmetic | easy | What is 895 - 798? | 97 | Subtract: 895 - 798 = 97. | basic_operations |
8,158 | arithmetic | easy | What is 321 + 43 * 38? Remember order of operations. | 1955 | Order of operations (PEMDAS): first 43*38=1634, then 321+1634=1955. | basic_operations |
8,159 | calculus | medium | What is the derivative of 6x^6 with respect to x? | 36x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^6] = 6*6*x^5 = 36x^5. | derivative |
8,160 | 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 |
8,161 | word_problems | easy | If you have 63 dollars and you buy 5 more dollars, how many dollars do you have in total? | 68 | Add initial 63 plus bought 5: 63+5=68. | addition_word |
8,162 | fractions | medium | What is 7/15 + 1/18? Give as simplified fraction. | 47/90 | Common denominator 15*18=270. 7/15=126/270, 1/18=15/270. Sum = 141/270 = 47/90 simplified. | fraction_operations |
8,163 | arithmetic | easy | What is 112 - 46? | 66 | Subtract: 112 - 46 = 66. | basic_operations |
8,164 | 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 |
8,165 | arithmetic | easy | What is 3008 / 8? | 376 | Divide: 3008 ÷ 8 = 376 because 8*376=3008. | division |
8,166 | statistics | easy | What is the mean (average) of 68, 65, 72, 13, 69? | 57.4 | Mean = sum/count. Sum = 68+65+72+13+69=287. Count=5. Mean=287/5=57.4. | mean |
8,167 | fractions | medium | What is 2/10 - 13/5? Give as simplified fraction. | -12/5 | Common denominator 50. Numerator 10-130=-120. So -120/50 simplifies to -12/5. | fraction_operations |
8,168 | percentages | easy | What is 72% of 536? | 385.92 | Calculate 72/100 * 536 = 0.72*536 = 385.92. | percentages |
8,169 | arithmetic | easy | What is 26817 divided by 54? Give answer to 2 decimal places. | 496.61 | Calculate 26817/ 54 = 496.6111, rounded to 2 decimals is 496.61. | division |
8,170 | number_theory | medium | What is the LCM (least common multiple) of 12 and 68? | 204 | LCM = |12*68| / GCD(12,68). GCD=4, so LCM=816/4=204. | lcm |
8,171 | 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 |
8,172 | arithmetic | easy | What is 76 * 49? | 3724 | Multiply: 76 * 49 = 3724. | basic_operations |
8,173 | calculus | medium | What is the derivative of 9x^8 with respect to x? | 72x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^8] = 9*8*x^7 = 72x^7. | derivative |
8,174 | algebra | medium | Solve for x: x^2 - 7x + 10 = 0 | x = 2, 5 | Factor: (x - 2)(x - 5) = x^2 -(7)x + 10 = 0. So x = 2 or 5. Check sum = 7, product = 10. | quadratic |
8,175 | algebra | medium | Solve for x: x^2 + 3x - 54 = 0 | x = 6, -9 | Factor: (x - 6)(x - -9) = x^2 -(-3)x + -54 = 0. So x = 6 or -9. Check sum = -3, product = -54. | quadratic |
8,176 | arithmetic | easy | What is 63 * 21? | 1323 | Multiply: 63 * 21 = 1323. | basic_operations |
8,177 | arithmetic | easy | What is 30222 divided by 88? Give answer to 2 decimal places. | 343.43 | Calculate 30222/ 88 = 343.4318, rounded to 2 decimals is 343.43. | division |
8,178 | algebra | easy | Solve for x: 7x + 8 = -41 | -7 | Subtract 8 from both sides: 7x = -41-8=-49. Then divide by 7: x = -49/7 = -7. | linear_equation |
8,179 | number_theory | medium | What is the GCD (greatest common divisor) of 54 and 37? | 1 | Find greatest number dividing both 54 and 37. Divisors common, greatest is 1. | gcd |
8,180 | word_problems | easy | If you have 71 apples and you buy 15 more apples, how many apples do you have in total? | 86 | Add initial 71 plus bought 15: 71+15=86. | addition_word |
8,181 | percentages | easy | What is 7% of 788? | 55.16 | Calculate 7/100 * 788 = 0.07*788 = 55.16. | percentages |
8,182 | calculus | medium | What is the derivative of 8x^6 with respect to x? | 48x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^6] = 8*6*x^5 = 48x^5. | derivative |
8,183 | number_theory | medium | What is the LCM (least common multiple) of 14 and 83? | 1162 | LCM = |14*83| / GCD(14,83). GCD=1, so LCM=1162/1=1162. | lcm |
8,184 | number_theory | medium | What is the GCD (greatest common divisor) of 37 and 78? | 1 | Find greatest number dividing both 37 and 78. Divisors common, greatest is 1. | gcd |
8,185 | 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 |
8,186 | arithmetic | easy | What is 397 - 267? | 130 | Subtract: 397 - 267 = 130. | basic_operations |
8,187 | 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 |
8,188 | 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 |
8,189 | number_theory | medium | What is the LCM (least common multiple) of 9 and 72? | 72 | LCM = |9*72| / GCD(9,72). GCD=9, so LCM=648/9=72. | lcm |
8,190 | statistics | easy | What is the mean (average) of 11, 55, 39? | 35 | Mean = sum/count. Sum = 11+55+39=105. Count=3. Mean=105/3=35.0. | mean |
8,191 | number_theory | medium | What is the LCM (least common multiple) of 56 and 6? | 168 | LCM = |56*6| / GCD(56,6). GCD=2, so LCM=336/2=168. | lcm |
8,192 | number_theory | medium | What is the LCM (least common multiple) of 52 and 27? | 1404 | LCM = |52*27| / GCD(52,27). GCD=1, so LCM=1404/1=1404. | lcm |
8,193 | percentages | easy | What is 97% of 92? | 89.24 | Calculate 97/100 * 92 = 0.97*92 = 89.24. | percentages |
8,194 | arithmetic | easy | What is 939 + 641 * 84? Remember order of operations. | 54783 | Order of operations (PEMDAS): first 641*84=53844, then 939+53844=54783. | basic_operations |
8,195 | algebra | easy | Solve for x: 1x + 42 = 24 | -18 | Subtract 42 from both sides: 1x = 24-42=-18. Then divide by 1: x = -18/1 = -18. | linear_equation |
8,196 | algebra | easy | Solve for x: 12x + 17 = 41 | 2 | Subtract 17 from both sides: 12x = 41-17=24. Then divide by 12: x = 24/12 = 2. | linear_equation |
8,197 | 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 |
8,198 | fractions | medium | What is 8/17 + 16/17? Give as simplified fraction. | 24/17 | Common denominator 17*17=289. 8/17=136/289, 16/17=272/289. Sum = 408/289 = 24/17 simplified. | fraction_operations |
8,199 | arithmetic | easy | What is 694 - 205? | 489 | Subtract: 694 - 205 = 489. | basic_operations |
8,200 | statistics | easy | What is the mean (average) of 76, 21, 54? | 50.33 | Mean = sum/count. Sum = 76+21+54=151. Count=3. Mean=151/3=50.33. | mean |
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