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 |
|---|---|---|---|---|---|---|
2,101 | arithmetic | easy | What is 6015 / 15? | 401 | Divide: 6015 ÷ 15 = 401 because 15*401=6015. | division |
2,102 | arithmetic | easy | What is 16 * 27? | 432 | Multiply: 16 * 27 = 432. | basic_operations |
2,103 | 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 |
2,104 | statistics | easy | What is the mean (average) of 13, 20, 83, 47, 43? | 41.2 | Mean = sum/count. Sum = 13+20+83+47+43=206. Count=5. Mean=206/5=41.2. | mean |
2,105 | algebra | easy | Solve for x: 4x - 25 = 7 | 8 | Add 25 to both sides: 4x = 7+25=32. Then x = 32/4 = 8. | linear_equation |
2,106 | 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 |
2,107 | arithmetic | easy | What is 855 + 252 * 61? Remember order of operations. | 16227 | Order of operations (PEMDAS): first 252*61=15372, then 855+15372=16227. | basic_operations |
2,108 | algebra | medium | Solve for x: x^2 + 10x + 16 = 0 | x = -8, -2 | Factor: (x - -8)(x - -2) = x^2 -(-10)x + 16 = 0. So x = -8 or -2. Check sum = -10, product = 16. | quadratic |
2,109 | number_theory | medium | What is the LCM (least common multiple) of 92 and 97? | 8924 | LCM = |92*97| / GCD(92,97). GCD=1, so LCM=8924/1=8924. | lcm |
2,110 | number_theory | medium | What is the GCD (greatest common divisor) of 81 and 86? | 1 | Find greatest number dividing both 81 and 86. Divisors common, greatest is 1. | gcd |
2,111 | algebra | easy | Solve for x: 17x + 3 = -99 | -6 | Subtract 3 from both sides: 17x = -99-3=-102. Then divide by 17: x = -102/17 = -6. | linear_equation |
2,112 | algebra | easy | Solve for x: 14x + 2 = 86 | 6 | Subtract 2 from both sides: 14x = 86-2=84. Then divide by 14: x = 84/14 = 6. | linear_equation |
2,113 | word_problems | easy | If you have 71 dollars and you buy 44 more dollars, how many dollars do you have in total? | 115 | Add initial 71 plus bought 44: 71+44=115. | addition_word |
2,114 | arithmetic | easy | What is 454 + 150? | 604 | Add the two numbers: 454 + 150 = 604. | basic_operations |
2,115 | arithmetic | easy | What is 347 - 87? | 260 | Subtract: 347 - 87 = 260. | basic_operations |
2,116 | algebra | medium | Solve for x: x^2 + 6x - 27 = 0 | x = 3, -9 | Factor: (x - 3)(x - -9) = x^2 -(-6)x + -27 = 0. So x = 3 or -9. Check sum = -6, product = -27. | quadratic |
2,117 | calculus | medium | What is the derivative of 1x^8 with respect to x? | 8x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^8] = 1*8*x^7 = 8x^7. | derivative |
2,118 | algebra | easy | Solve for x: 19x - 43 = 337 | 20 | Add 43 to both sides: 19x = 337+43=380. Then x = 380/19 = 20. | linear_equation |
2,119 | exponents | easy | What is 8^5? | 32768 | 8^5 means multiply 8 by itself 5 times: 8*8*8*8*8 = 32768. | exponents |
2,120 | exponents | easy | What is 7^4? | 2401 | 7^4 means multiply 7 by itself 4 times: 7*7*7*7 = 2401. | exponents |
2,121 | arithmetic | easy | What is 19 * 90? | 1710 | Multiply: 19 * 90 = 1710. | basic_operations |
2,122 | fractions | medium | What is 18/16 + 12/14? Give as simplified fraction. | 111/56 | Common denominator 16*14=224. 18/16=252/224, 12/14=192/224. Sum = 444/224 = 111/56 simplified. | fraction_operations |
2,123 | exponents | easy | What is 3^2? | 9 | 3^2 means multiply 3 by itself 2 times: 3*3 = 9. | exponents |
2,124 | roots | easy | What is the square root of 625? | 25 | Find number that when squared gives 625. 25*25=625, so sqrt(625)=25. | square_roots |
2,125 | algebra | easy | Solve for x: 17x + 19 = -15 | -2 | Subtract 19 from both sides: 17x = -15-19=-34. Then divide by 17: x = -34/17 = -2. | linear_equation |
2,126 | fractions | medium | What is 3/18 * 18/11? Give as simplified fraction. | 3/11 | Multiply numerators: 3*18=54. Denominators: 18*11=198. Simplify by gcd 18 to get 3/11. | fraction_operations |
2,127 | roots | easy | What is the square root of 2401? | 49 | Find number that when squared gives 2401. 49*49=2401, so sqrt(2401)=49. | square_roots |
2,128 | algebra | medium | Solve for x: x^2 + 20x + 100 = 0 | x = -10 | Factor as (x - -10)^2 = 0, so root is -10 (double root). Sum of roots = -20, product = 100. | quadratic |
2,129 | geometry | easy | Find the perimeter of a rectangle with length 100 and width 39. | 278 | Perimeter = 2*(length+width) = 2*(100+39) = 2*139 = 278. | rectangle_perim |
2,130 | 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 |
2,131 | arithmetic | easy | What is 2945 / 95? | 31 | Divide: 2945 ÷ 95 = 31 because 95*31=2945. | division |
2,132 | number_theory | medium | What is the GCD (greatest common divisor) of 16 and 7? | 1 | Find greatest number dividing both 16 and 7. Divisors common, greatest is 1. | gcd |
2,133 | word_problems | easy | If you have 43 apples and you buy 37 more apples, how many apples do you have in total? | 80 | Add initial 43 plus bought 37: 43+37=80. | addition_word |
2,134 | word_problems | easy | If you have 48 pencils and you buy 16 more pencils, how many pencils do you have in total? | 64 | Add initial 48 plus bought 16: 48+16=64. | addition_word |
2,135 | percentages | easy | What is 45% of 307? | 138.15 | Calculate 45/100 * 307 = 0.45*307 = 138.15. | percentages |
2,136 | exponents | easy | What is 12^3? | 1728 | 12^3 means multiply 12 by itself 3 times: 12*12*12 = 1728. | exponents |
2,137 | calculus | medium | What is the derivative of 4x^6 with respect to x? | 24x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^6] = 4*6*x^5 = 24x^5. | derivative |
2,138 | arithmetic | easy | What is 11395 / 43? | 265 | Divide: 11395 ÷ 43 = 265 because 43*265=11395. | division |
2,139 | number_theory | medium | What is the GCD (greatest common divisor) of 59 and 13? | 1 | Find greatest number dividing both 59 and 13. Divisors common, greatest is 1. | gcd |
2,140 | 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 |
2,141 | 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 |
2,142 | arithmetic | easy | What is 436 + 64 * 17? Remember order of operations. | 1524 | Order of operations (PEMDAS): first 64*17=1088, then 436+1088=1524. | basic_operations |
2,143 | arithmetic | easy | What is 694 - 379? | 315 | Subtract: 694 - 379 = 315. | basic_operations |
2,144 | calculus | medium | What is the derivative of 5x^8 with respect to x? | 40x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^8] = 5*8*x^7 = 40x^7. | derivative |
2,145 | statistics | easy | What is the mean (average) of 55, 57, 89, 63, 94? | 71.6 | Mean = sum/count. Sum = 55+57+89+63+94=358. Count=5. Mean=358/5=71.6. | mean |
2,146 | 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 |
2,147 | algebra | medium | Solve for x: x^2 - 36 = 0 | x = -6, 6 | Factor: (x - -6)(x - 6) = x^2 -(0)x + -36 = 0. So x = -6 or 6. Check sum = 0, product = -36. | quadratic |
2,148 | algebra | easy | Solve for x: 16x + 41 = 185 | 9 | Subtract 41 from both sides: 16x = 185-41=144. Then divide by 16: x = 144/16 = 9. | linear_equation |
2,149 | algebra | easy | Solve for x: 17x + 17 = -204 | -13 | Subtract 17 from both sides: 17x = -204-17=-221. Then divide by 17: x = -221/17 = -13. | linear_equation |
2,150 | fractions | medium | What is 15/17 * 2/7? Give as simplified fraction. | 30/119 | Multiply numerators: 15*2=30. Denominators: 17*7=119. Simplify by gcd 1 to get 30/119. | fraction_operations |
2,151 | number_theory | medium | What is the LCM (least common multiple) of 16 and 78? | 624 | LCM = |16*78| / GCD(16,78). GCD=2, so LCM=1248/2=624. | lcm |
2,152 | arithmetic | easy | What is 3230 / 17? | 190 | Divide: 3230 ÷ 17 = 190 because 17*190=3230. | division |
2,153 | algebra | easy | Solve for x: 4x - 3 = -7 | -1 | Add 3 to both sides: 4x = -7+3=-4. Then x = -4/4 = -1. | linear_equation |
2,154 | number_theory | medium | What is the LCM (least common multiple) of 39 and 38? | 1482 | LCM = |39*38| / GCD(39,38). GCD=1, so LCM=1482/1=1482. | lcm |
2,155 | arithmetic | easy | What is 54 * 7? | 378 | Multiply: 54 * 7 = 378. | basic_operations |
2,156 | exponents | easy | What is 6^3? | 216 | 6^3 means multiply 6 by itself 3 times: 6*6*6 = 216. | exponents |
2,157 | 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 |
2,158 | arithmetic | easy | What is 12888 / 72? | 179 | Divide: 12888 ÷ 72 = 179 because 72*179=12888. | division |
2,159 | 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 |
2,160 | exponents | easy | What is 11^5? | 161051 | 11^5 means multiply 11 by itself 5 times: 11*11*11*11*11 = 161051. | exponents |
2,161 | roots | easy | What is the square root of 625? | 25 | Find number that when squared gives 625. 25*25=625, so sqrt(625)=25. | square_roots |
2,162 | statistics | easy | What is the mean (average) of 78, 17, 98, 18, 65? | 55.2 | Mean = sum/count. Sum = 78+17+98+18+65=276. Count=5. Mean=276/5=55.2. | mean |
2,163 | word_problems | easy | If you have 62 candies and you buy 43 more candies, how many candies do you have in total? | 105 | Add initial 62 plus bought 43: 62+43=105. | addition_word |
2,164 | algebra | easy | Solve for x: 11x - 39 = 170 | 19 | Add 39 to both sides: 11x = 170+39=209. Then x = 209/11 = 19. | linear_equation |
2,165 | 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 |
2,166 | percentages | easy | What is 51% of 348? | 177.48 | Calculate 51/100 * 348 = 0.51*348 = 177.48. | percentages |
2,167 | arithmetic | easy | What is 36 + 83 * 57? Remember order of operations. | 4767 | Order of operations (PEMDAS): first 83*57=4731, then 36+4731=4767. | basic_operations |
2,168 | algebra | medium | Solve for x: x^2 + 2x - 80 = 0 | x = -10, 8 | Factor: (x - -10)(x - 8) = x^2 -(-2)x + -80 = 0. So x = -10 or 8. Check sum = -2, product = -80. | quadratic |
2,169 | exponents | easy | What is 10^2? | 100 | 10^2 means multiply 10 by itself 2 times: 10*10 = 100. | exponents |
2,170 | arithmetic | easy | What is 74 + 97 * 80? Remember order of operations. | 7834 | Order of operations (PEMDAS): first 97*80=7760, then 74+7760=7834. | basic_operations |
2,171 | fractions | medium | What is 16/18 * 1/5? Give as simplified fraction. | 8/45 | Multiply numerators: 16*1=16. Denominators: 18*5=90. Simplify by gcd 2 to get 8/45. | fraction_operations |
2,172 | algebra | medium | Solve for x: x^2 + 12x + 20 = 0 | x = -10, -2 | Factor: (x - -10)(x - -2) = x^2 -(-12)x + 20 = 0. So x = -10 or -2. Check sum = -12, product = 20. | quadratic |
2,173 | fractions | medium | What is 8/20 * 15/4? Give as simplified fraction. | 3/2 | Multiply numerators: 8*15=120. Denominators: 20*4=80. Simplify by gcd 40 to get 3/2. | fraction_operations |
2,174 | roots | easy | What is the square root of 676? | 26 | Find number that when squared gives 676. 26*26=676, so sqrt(676)=26. | square_roots |
2,175 | arithmetic | easy | What is 883 - 504? | 379 | Subtract: 883 - 504 = 379. | basic_operations |
2,176 | 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 |
2,177 | roots | easy | What is the square root of 625? | 25 | Find number that when squared gives 625. 25*25=625, so sqrt(625)=25. | square_roots |
2,178 | geometry | easy | Find the area of a rectangle with length 15 and width 13. | 195 | Area = length * width = 15*13 = 195. | rectangle_area |
2,179 | algebra | medium | Solve for x: x^2 + 7x + 6 = 0 | x = -1, -6 | Factor: (x - -1)(x - -6) = x^2 -(-7)x + 6 = 0. So x = -1 or -6. Check sum = -7, product = 6. | quadratic |
2,180 | algebra | medium | Solve for x: x^2 + 10x + 16 = 0 | x = -2, -8 | Factor: (x - -2)(x - -8) = x^2 -(-10)x + 16 = 0. So x = -2 or -8. Check sum = -10, product = 16. | quadratic |
2,181 | algebra | easy | Solve for x: 10x + 2 = -98 | -10 | Subtract 2 from both sides: 10x = -98-2=-100. Then divide by 10: x = -100/10 = -10. | linear_equation |
2,182 | arithmetic | easy | What is 630 + 985 * 42? Remember order of operations. | 42000 | Order of operations (PEMDAS): first 985*42=41370, then 630+41370=42000. | basic_operations |
2,183 | arithmetic | easy | What is 400 + 306 * 13? Remember order of operations. | 4378 | Order of operations (PEMDAS): first 306*13=3978, then 400+3978=4378. | basic_operations |
2,184 | 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 |
2,185 | calculus | medium | What is the derivative of 2x^8 with respect to x? | 16x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^8] = 2*8*x^7 = 16x^7. | derivative |
2,186 | arithmetic | easy | What is 76 * 31? | 2356 | Multiply: 76 * 31 = 2356. | basic_operations |
2,187 | 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 |
2,188 | arithmetic | easy | What is 476 + 326 * 71? Remember order of operations. | 23622 | Order of operations (PEMDAS): first 326*71=23146, then 476+23146=23622. | basic_operations |
2,189 | arithmetic | easy | What is 418 + 649 * 30? Remember order of operations. | 19888 | Order of operations (PEMDAS): first 649*30=19470, then 418+19470=19888. | basic_operations |
2,190 | arithmetic | easy | What is 12903 / 33? | 391 | Divide: 12903 ÷ 33 = 391 because 33*391=12903. | division |
2,191 | 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 |
2,192 | arithmetic | easy | What is 867 + 652? | 1519 | Add the two numbers: 867 + 652 = 1519. | basic_operations |
2,193 | algebra | easy | Solve for x: 12x + 19 = -101 | -10 | Subtract 19 from both sides: 12x = -101-19=-120. Then divide by 12: x = -120/12 = -10. | linear_equation |
2,194 | percentages | easy | What is 69% of 976? | 673.44 | Calculate 69/100 * 976 = 0.69*976 = 673.44. | percentages |
2,195 | 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 |
2,196 | word_problems | easy | If you have 10 candies and you buy 1 more candies, how many candies do you have in total? | 11 | Add initial 10 plus bought 1: 10+1=11. | addition_word |
2,197 | exponents | easy | What is 12^3? | 1728 | 12^3 means multiply 12 by itself 3 times: 12*12*12 = 1728. | exponents |
2,198 | arithmetic | easy | What is 956 - 62? | 894 | Subtract: 956 - 62 = 894. | basic_operations |
2,199 | calculus | medium | What is the derivative of 4x^4 with respect to x? | 16x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^4] = 4*4*x^3 = 16x^3. | derivative |
2,200 | exponents | easy | What is 2^3? | 8 | 2^3 means multiply 2 by itself 3 times: 2*2*2 = 8. | exponents |
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