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 |
|---|---|---|---|---|---|---|
11,101 | arithmetic | easy | What is 1616 / 4? | 404 | Divide: 1616 ÷ 4 = 404 because 4*404=1616. | division |
11,102 | geometry | easy | Find the perimeter of a rectangle with length 65 and width 53. | 236 | Perimeter = 2*(length+width) = 2*(65+53) = 2*118 = 236. | rectangle_perim |
11,103 | 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 |
11,104 | arithmetic | easy | What is 405 + 187? | 592 | Add the two numbers: 405 + 187 = 592. | basic_operations |
11,105 | roots | easy | What is the square root of 1444? | 38 | Find number that when squared gives 1444. 38*38=1444, so sqrt(1444)=38. | square_roots |
11,106 | 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 |
11,107 | geometry | easy | Find the area of a triangle with base 99 and height 97. | 4801.5 | Area = 0.5*base*height = 0.5*99*97 = 4801.5. | triangle_area |
11,108 | arithmetic | easy | What is 717 + 579 * 51? Remember order of operations. | 30246 | Order of operations (PEMDAS): first 579*51=29529, then 717+29529=30246. | basic_operations |
11,109 | arithmetic | easy | What is 680 + 524? | 1204 | Add the two numbers: 680 + 524 = 1204. | basic_operations |
11,110 | number_theory | medium | What is the LCM (least common multiple) of 66 and 89? | 5874 | LCM = |66*89| / GCD(66,89). GCD=1, so LCM=5874/1=5874. | lcm |
11,111 | 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 |
11,112 | algebra | medium | Solve for x: x^2 - 15x + 50 = 0 | x = 5, 10 | Factor: (x - 5)(x - 10) = x^2 -(15)x + 50 = 0. So x = 5 or 10. Check sum = 15, product = 50. | quadratic |
11,113 | exponents | easy | What is 11^5? | 161051 | 11^5 means multiply 11 by itself 5 times: 11*11*11*11*11 = 161051. | exponents |
11,114 | 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 |
11,115 | algebra | easy | Solve for x: 20x - 12 = 248 | 13 | Add 12 to both sides: 20x = 248+12=260. Then x = 260/20 = 13. | linear_equation |
11,116 | fractions | medium | What is 2/13 + 4/16? Give as simplified fraction. | 21/52 | Common denominator 13*16=208. 2/13=32/208, 4/16=52/208. Sum = 84/208 = 21/52 simplified. | fraction_operations |
11,117 | word_problems | easy | If you have 24 dollars and you buy 48 more dollars, how many dollars do you have in total? | 72 | Add initial 24 plus bought 48: 24+48=72. | addition_word |
11,118 | arithmetic | easy | What is 669 + 185 * 28? Remember order of operations. | 5849 | Order of operations (PEMDAS): first 185*28=5180, then 669+5180=5849. | basic_operations |
11,119 | percentages | easy | What is 42% of 238? | 99.96 | Calculate 42/100 * 238 = 0.42*238 = 99.96. | percentages |
11,120 | 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 |
11,121 | number_theory | medium | What is the LCM (least common multiple) of 87 and 58? | 174 | LCM = |87*58| / GCD(87,58). GCD=29, so LCM=5046/29=174. | lcm |
11,122 | statistics | easy | What is the mean (average) of 28, 33, 93, 17? | 42.75 | Mean = sum/count. Sum = 28+33+93+17=171. Count=4. Mean=171/4=42.75. | mean |
11,123 | 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 |
11,124 | statistics | easy | What is the mean (average) of 7, 27, 86, 9? | 32.25 | Mean = sum/count. Sum = 7+27+86+9=129. Count=4. Mean=129/4=32.25. | mean |
11,125 | arithmetic | easy | What is 57 + 77 * 83? Remember order of operations. | 6448 | Order of operations (PEMDAS): first 77*83=6391, then 57+6391=6448. | basic_operations |
11,126 | arithmetic | easy | What is 482 + 935? | 1417 | Add the two numbers: 482 + 935 = 1417. | basic_operations |
11,127 | algebra | medium | Solve for x: x^2 + 4x - 60 = 0 | x = 6, -10 | Factor: (x - 6)(x - -10) = x^2 -(-4)x + -60 = 0. So x = 6 or -10. Check sum = -4, product = -60. | quadratic |
11,128 | 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 |
11,129 | arithmetic | easy | What is 863 - 493? | 370 | Subtract: 863 - 493 = 370. | basic_operations |
11,130 | 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 |
11,131 | statistics | easy | What is the mean (average) of 35, 61, 20, 96, 12? | 44.8 | Mean = sum/count. Sum = 35+61+20+96+12=224. Count=5. Mean=224/5=44.8. | mean |
11,132 | word_problems | easy | If you have 20 books and you buy 49 more books, how many books do you have in total? | 69 | Add initial 20 plus bought 49: 20+49=69. | addition_word |
11,133 | exponents | easy | What is 5^4? | 625 | 5^4 means multiply 5 by itself 4 times: 5*5*5*5 = 625. | exponents |
11,134 | calculus | medium | What is the derivative of 9x^5 with respect to x? | 45x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^5] = 9*5*x^4 = 45x^4. | derivative |
11,135 | percentages | easy | What is 95% of 52? | 49.4 | Calculate 95/100 * 52 = 0.95*52 = 49.4. | percentages |
11,136 | fractions | medium | What is 5/13 * 7/14? Give as simplified fraction. | 5/26 | Multiply numerators: 5*7=35. Denominators: 13*14=182. Simplify by gcd 7 to get 5/26. | fraction_operations |
11,137 | number_theory | medium | What is the LCM (least common multiple) of 92 and 19? | 1748 | LCM = |92*19| / GCD(92,19). GCD=1, so LCM=1748/1=1748. | lcm |
11,138 | roots | easy | What is the square root of 1225? | 35 | Find number that when squared gives 1225. 35*35=1225, so sqrt(1225)=35. | square_roots |
11,139 | word_problems | easy | If you have 98 candies and you buy 48 more candies, how many candies do you have in total? | 146 | Add initial 98 plus bought 48: 98+48=146. | addition_word |
11,140 | statistics | easy | What is the mean (average) of 41, 94, 2? | 45.67 | Mean = sum/count. Sum = 41+94+2=137. Count=3. Mean=137/3=45.67. | mean |
11,141 | statistics | easy | What is the mean (average) of 98, 12, 96, 8, 85? | 59.8 | Mean = sum/count. Sum = 98+12+96+8+85=299. Count=5. Mean=299/5=59.8. | mean |
11,142 | statistics | easy | What is the mean (average) of 67, 89, 29? | 61.67 | Mean = sum/count. Sum = 67+89+29=185. Count=3. Mean=185/3=61.67. | mean |
11,143 | exponents | easy | What is 9^5? | 59049 | 9^5 means multiply 9 by itself 5 times: 9*9*9*9*9 = 59049. | exponents |
11,144 | geometry | easy | Find the circumference of a circle with radius 48. Use pi=3.14159, round to 2 decimals. | 301.59 | Circumference = 2*pi*r = 2*3.14159*48 = 301.59. | circle_circum |
11,145 | arithmetic | easy | What is 188 + 697 * 49? Remember order of operations. | 34341 | Order of operations (PEMDAS): first 697*49=34153, then 188+34153=34341. | basic_operations |
11,146 | fractions | medium | What is 13/9 - 4/20? Give as simplified fraction. | 56/45 | Common denominator 180. Numerator 260-36=224. So 224/180 simplifies to 56/45. | fraction_operations |
11,147 | 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 |
11,148 | calculus | medium | What is the derivative of 5x^7 with respect to x? | 35x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^7] = 5*7*x^6 = 35x^6. | derivative |
11,149 | geometry | easy | Find the perimeter of a rectangle with length 75 and width 98. | 346 | Perimeter = 2*(length+width) = 2*(75+98) = 2*173 = 346. | rectangle_perim |
11,150 | arithmetic | easy | What is 78 * 44? | 3432 | Multiply: 78 * 44 = 3432. | basic_operations |
11,151 | calculus | medium | What is the derivative of 1x^3 with respect to x? | 3x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^3] = 1*3*x^2 = 3x^2. | derivative |
11,152 | arithmetic | easy | What is 668 + 404 * 26? Remember order of operations. | 11172 | Order of operations (PEMDAS): first 404*26=10504, then 668+10504=11172. | basic_operations |
11,153 | arithmetic | easy | What is 1472 / 8? | 184 | Divide: 1472 ÷ 8 = 184 because 8*184=1472. | division |
11,154 | 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 |
11,155 | word_problems | easy | If you have 70 apples and you buy 30 more apples, how many apples do you have in total? | 100 | Add initial 70 plus bought 30: 70+30=100. | addition_word |
11,156 | exponents | easy | What is 10^2? | 100 | 10^2 means multiply 10 by itself 2 times: 10*10 = 100. | exponents |
11,157 | arithmetic | easy | What is 759 - 210? | 549 | Subtract: 759 - 210 = 549. | basic_operations |
11,158 | fractions | medium | What is 16/9 - 20/15? Give as simplified fraction. | 4/9 | Common denominator 135. Numerator 240-180=60. So 60/135 simplifies to 4/9. | fraction_operations |
11,159 | algebra | medium | Solve for x: x^2 - 15x + 50 = 0 | x = 5, 10 | Factor: (x - 5)(x - 10) = x^2 -(15)x + 50 = 0. So x = 5 or 10. Check sum = 15, product = 50. | quadratic |
11,160 | 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 |
11,161 | calculus | medium | What is the derivative of 8x^5 with respect to x? | 40x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^5] = 8*5*x^4 = 40x^4. | derivative |
11,162 | statistics | easy | What is the mean (average) of 8, 43, 47, 39, 67? | 40.8 | Mean = sum/count. Sum = 8+43+47+39+67=204. Count=5. Mean=204/5=40.8. | mean |
11,163 | arithmetic | easy | What is 76 * 78? | 5928 | Multiply: 76 * 78 = 5928. | basic_operations |
11,164 | arithmetic | easy | What is 6450 / 43? | 150 | Divide: 6450 ÷ 43 = 150 because 43*150=6450. | division |
11,165 | statistics | easy | What is the mean (average) of 7, 85, 17? | 36.33 | Mean = sum/count. Sum = 7+85+17=109. Count=3. Mean=109/3=36.33. | mean |
11,166 | percentages | easy | What is 28% of 795? | 222.6 | Calculate 28/100 * 795 = 0.28*795 = 222.6. | percentages |
11,167 | arithmetic | easy | What is 1914 / 29? | 66 | Divide: 1914 ÷ 29 = 66 because 29*66=1914. | division |
11,168 | statistics | easy | What is the mean (average) of 54, 3, 21, 9? | 21.75 | Mean = sum/count. Sum = 54+3+21+9=87. Count=4. Mean=87/4=21.75. | mean |
11,169 | percentages | easy | What is 56% of 777? | 435.12 | Calculate 56/100 * 777 = 0.56*777 = 435.12. | percentages |
11,170 | exponents | easy | What is 3^4? | 81 | 3^4 means multiply 3 by itself 4 times: 3*3*3*3 = 81. | exponents |
11,171 | statistics | easy | What is the mean (average) of 11, 89, 18, 95? | 53.25 | Mean = sum/count. Sum = 11+89+18+95=213. Count=4. Mean=213/4=53.25. | mean |
11,172 | arithmetic | easy | What is 81 * 83? | 6723 | Multiply: 81 * 83 = 6723. | basic_operations |
11,173 | number_theory | medium | What is the GCD (greatest common divisor) of 53 and 97? | 1 | Find greatest number dividing both 53 and 97. Divisors common, greatest is 1. | gcd |
11,174 | statistics | easy | What is the mean (average) of 86, 47, 44, 72? | 62.25 | Mean = sum/count. Sum = 86+47+44+72=249. Count=4. Mean=249/4=62.25. | mean |
11,175 | algebra | medium | Solve for x: x^2 + 9x + 18 = 0 | x = -6, -3 | Factor: (x - -6)(x - -3) = x^2 -(-9)x + 18 = 0. So x = -6 or -3. Check sum = -9, product = 18. | quadratic |
11,176 | number_theory | medium | What is the LCM (least common multiple) of 47 and 17? | 799 | LCM = |47*17| / GCD(47,17). GCD=1, so LCM=799/1=799. | lcm |
11,177 | statistics | easy | What is the mean (average) of 4, 56, 25, 1, 86? | 34.4 | Mean = sum/count. Sum = 4+56+25+1+86=172. Count=5. Mean=172/5=34.4. | mean |
11,178 | algebra | easy | Solve for x: 5x + 20 = -25 | -9 | Subtract 20 from both sides: 5x = -25-20=-45. Then divide by 5: x = -45/5 = -9. | linear_equation |
11,179 | percentages | easy | What is 31% of 366? | 113.46 | Calculate 31/100 * 366 = 0.31*366 = 113.46. | percentages |
11,180 | algebra | easy | Solve for x: 18x + 6 = 240 | 13 | Subtract 6 from both sides: 18x = 240-6=234. Then divide by 18: x = 234/18 = 13. | linear_equation |
11,181 | statistics | easy | What is the mean (average) of 48, 93, 25? | 55.33 | Mean = sum/count. Sum = 48+93+25=166. Count=3. Mean=166/3=55.33. | mean |
11,182 | number_theory | medium | What is the LCM (least common multiple) of 77 and 84? | 924 | LCM = |77*84| / GCD(77,84). GCD=7, so LCM=6468/7=924. | lcm |
11,183 | exponents | easy | What is 9^3? | 729 | 9^3 means multiply 9 by itself 3 times: 9*9*9 = 729. | exponents |
11,184 | 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 |
11,185 | exponents | easy | What is 9^4? | 6561 | 9^4 means multiply 9 by itself 4 times: 9*9*9*9 = 6561. | exponents |
11,186 | 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 |
11,187 | number_theory | medium | What is the LCM (least common multiple) of 42 and 5? | 210 | LCM = |42*5| / GCD(42,5). GCD=1, so LCM=210/1=210. | lcm |
11,188 | algebra | easy | Solve for x: 17x - 19 = -257 | -14 | Add 19 to both sides: 17x = -257+19=-238. Then x = -238/17 = -14. | linear_equation |
11,189 | arithmetic | easy | What is 46 * 93? | 4278 | Multiply: 46 * 93 = 4278. | basic_operations |
11,190 | arithmetic | easy | What is 958 - 553? | 405 | Subtract: 958 - 553 = 405. | basic_operations |
11,191 | exponents | easy | What is 7^2? | 49 | 7^2 means multiply 7 by itself 2 times: 7*7 = 49. | exponents |
11,192 | roots | easy | What is the square root of 1225? | 35 | Find number that when squared gives 1225. 35*35=1225, so sqrt(1225)=35. | square_roots |
11,193 | arithmetic | easy | What is 595 / 85? | 7 | Divide: 595 ÷ 85 = 7 because 85*7=595. | division |
11,194 | arithmetic | easy | What is 577 divided by 2? Give answer to 2 decimal places. | 288.5 | Calculate 577/ 2 = 288.5000, rounded to 2 decimals is 288.5. | division |
11,195 | statistics | easy | What is the mean (average) of 33, 64, 56, 11? | 41 | Mean = sum/count. Sum = 33+64+56+11=164. Count=4. Mean=164/4=41.0. | mean |
11,196 | fractions | medium | What is 15/19 - 18/15? Give as simplified fraction. | -39/95 | Common denominator 285. Numerator 225-342=-117. So -117/285 simplifies to -39/95. | fraction_operations |
11,197 | fractions | medium | What is 13/11 + 13/12? Give as simplified fraction. | 299/132 | Common denominator 11*12=132. 13/11=156/132, 13/12=143/132. Sum = 299/132 = 299/132 simplified. | fraction_operations |
11,198 | percentages | easy | What is 30% of 308? | 92.4 | Calculate 30/100 * 308 = 0.3*308 = 92.4. | percentages |
11,199 | word_problems | easy | If you have 61 pencils and you buy 18 more pencils, how many pencils do you have in total? | 79 | Add initial 61 plus bought 18: 61+18=79. | addition_word |
11,200 | 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 |
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