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 |
|---|---|---|---|---|---|---|
731,101 | arithmetic | easy | What is 931 + 763 * 63? Remember order of operations. | 49000 | Order of operations (PEMDAS): first 763*63=48069, then 931+48069=49000. | basic_operations |
731,102 | number_theory | medium | What is the LCM (least common multiple) of 5 and 8? | 40 | LCM = |5*8| / GCD(5,8). GCD=1, so LCM=40/1=40. | lcm |
731,103 | algebra | easy | Solve for x: 13x - 24 = -167 | -11 | Add 24 to both sides: 13x = -167+24=-143. Then x = -143/13 = -11. | linear_equation |
731,104 | statistics | easy | What is the mean (average) of 26, 75, 92? | 64.33 | Mean = sum/count. Sum = 26+75+92=193. Count=3. Mean=193/3=64.33. | mean |
731,105 | fractions | medium | What is 13/17 * 2/12? Give as simplified fraction. | 13/102 | Multiply numerators: 13*2=26. Denominators: 17*12=204. Simplify by gcd 2 to get 13/102. | fraction_operations |
731,106 | calculus | medium | What is the derivative of 4x^2 with respect to x? | 8x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^2] = 4*2*x^1 = 8x. | derivative |
731,107 | fractions | medium | What is 12/4 + 20/19? Give as simplified fraction. | 77/19 | Common denominator 4*19=76. 12/4=228/76, 20/19=80/76. Sum = 308/76 = 77/19 simplified. | fraction_operations |
731,108 | fractions | medium | What is 1/6 + 13/3? Give as simplified fraction. | 9/2 | Common denominator 6*3=18. 1/6=3/18, 13/3=78/18. Sum = 81/18 = 9/2 simplified. | fraction_operations |
731,109 | geometry | easy | Find the area of a rectangle with length 60 and width 47. | 2820 | Area = length * width = 60*47 = 2820. | rectangle_area |
731,110 | algebra | easy | Solve for x: 10x + 22 = 102 | 8 | Subtract 22 from both sides: 10x = 102-22=80. Then divide by 10: x = 80/10 = 8. | linear_equation |
731,111 | number_theory | medium | What is the LCM (least common multiple) of 91 and 79? | 7189 | LCM = |91*79| / GCD(91,79). GCD=1, so LCM=7189/1=7189. | lcm |
731,112 | word_problems | easy | If you have 33 pencils and you buy 30 more pencils, how many pencils do you have in total? | 63 | Add initial 33 plus bought 30: 33+30=63. | addition_word |
731,113 | exponents | easy | What is 9^3? | 729 | 9^3 means multiply 9 by itself 3 times: 9*9*9 = 729. | exponents |
731,114 | 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 |
731,115 | 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 |
731,116 | 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 |
731,117 | number_theory | medium | What is the GCD (greatest common divisor) of 68 and 86? | 2 | Find greatest number dividing both 68 and 86. Divisors common, greatest is 2. | gcd |
731,118 | exponents | easy | What is 8^5? | 32768 | 8^5 means multiply 8 by itself 5 times: 8*8*8*8*8 = 32768. | exponents |
731,119 | arithmetic | easy | What is 663 + 917 * 60? Remember order of operations. | 55683 | Order of operations (PEMDAS): first 917*60=55020, then 663+55020=55683. | basic_operations |
731,120 | fractions | medium | What is 5/8 + 16/4? Give as simplified fraction. | 37/8 | Common denominator 8*4=32. 5/8=20/32, 16/4=128/32. Sum = 148/32 = 37/8 simplified. | fraction_operations |
731,121 | geometry | easy | Find the area of a triangle with base 33 and height 51. | 841.5 | Area = 0.5*base*height = 0.5*33*51 = 841.5. | triangle_area |
731,122 | percentages | easy | What is 46% of 966? | 444.36 | Calculate 46/100 * 966 = 0.46*966 = 444.36. | percentages |
731,123 | 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 |
731,124 | algebra | easy | Solve for x: 13x - 38 = 27 | 5 | Add 38 to both sides: 13x = 27+38=65. Then x = 65/13 = 5. | linear_equation |
731,125 | percentages | easy | What is 48% of 67? | 32.16 | Calculate 48/100 * 67 = 0.48*67 = 32.16. | percentages |
731,126 | 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 |
731,127 | exponents | easy | What is 3^3? | 27 | 3^3 means multiply 3 by itself 3 times: 3*3*3 = 27. | exponents |
731,128 | word_problems | easy | If you have 47 candies and you buy 1 more candies, how many candies do you have in total? | 48 | Add initial 47 plus bought 1: 47+1=48. | addition_word |
731,129 | number_theory | medium | What is the GCD (greatest common divisor) of 54 and 87? | 3 | Find greatest number dividing both 54 and 87. Divisors common, greatest is 3. | gcd |
731,130 | arithmetic | easy | What is 2340 / 18? | 130 | Divide: 2340 ÷ 18 = 130 because 18*130=2340. | division |
731,131 | 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 |
731,132 | percentages | easy | What is 64% of 657? | 420.48 | Calculate 64/100 * 657 = 0.64*657 = 420.48. | percentages |
731,133 | exponents | easy | What is 6^4? | 1296 | 6^4 means multiply 6 by itself 4 times: 6*6*6*6 = 1296. | exponents |
731,134 | 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 |
731,135 | fractions | medium | What is 7/10 - 11/6? Give as simplified fraction. | -17/15 | Common denominator 60. Numerator 42-110=-68. So -68/60 simplifies to -17/15. | fraction_operations |
731,136 | number_theory | medium | What is the GCD (greatest common divisor) of 76 and 35? | 1 | Find greatest number dividing both 76 and 35. Divisors common, greatest is 1. | gcd |
731,137 | 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 |
731,138 | algebra | medium | Solve for x: x^2 + 8x - 9 = 0 | x = -9, 1 | Factor: (x - -9)(x - 1) = x^2 -(-8)x + -9 = 0. So x = -9 or 1. Check sum = -8, product = -9. | quadratic |
731,139 | roots | easy | What is the square root of 1089? | 33 | Find number that when squared gives 1089. 33*33=1089, so sqrt(1089)=33. | square_roots |
731,140 | 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 |
731,141 | percentages | easy | What is 85% of 307? | 260.95 | Calculate 85/100 * 307 = 0.85*307 = 260.95. | percentages |
731,142 | calculus | medium | What is the derivative of 5x^4 with respect to x? | 20x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^4] = 5*4*x^3 = 20x^3. | derivative |
731,143 | algebra | easy | Solve for x: 14x + 8 = -90 | -7 | Subtract 8 from both sides: 14x = -90-8=-98. Then divide by 14: x = -98/14 = -7. | linear_equation |
731,144 | algebra | medium | Solve for x: x^2 - 4x - 32 = 0 | x = -4, 8 | Factor: (x - -4)(x - 8) = x^2 -(4)x + -32 = 0. So x = -4 or 8. Check sum = 4, product = -32. | quadratic |
731,145 | arithmetic | easy | What is 571 - 322? | 249 | Subtract: 571 - 322 = 249. | basic_operations |
731,146 | 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 |
731,147 | roots | easy | What is the square root of 2500? | 50 | Find number that when squared gives 2500. 50*50=2500, so sqrt(2500)=50. | square_roots |
731,148 | statistics | easy | What is the mean (average) of 85, 94, 59, 74, 49? | 72.2 | Mean = sum/count. Sum = 85+94+59+74+49=361. Count=5. Mean=361/5=72.2. | mean |
731,149 | percentages | easy | What is 89% of 187? | 166.43 | Calculate 89/100 * 187 = 0.89*187 = 166.43. | percentages |
731,150 | number_theory | medium | What is the LCM (least common multiple) of 40 and 55? | 440 | LCM = |40*55| / GCD(40,55). GCD=5, so LCM=2200/5=440. | lcm |
731,151 | algebra | easy | Solve for x: 10x - 27 = 143 | 17 | Add 27 to both sides: 10x = 143+27=170. Then x = 170/10 = 17. | linear_equation |
731,152 | 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 |
731,153 | percentages | easy | What is 23% of 313? | 71.99 | Calculate 23/100 * 313 = 0.23*313 = 71.99. | percentages |
731,154 | arithmetic | easy | What is 348 / 58? | 6 | Divide: 348 ÷ 58 = 6 because 58*6=348. | division |
731,155 | arithmetic | easy | What is 17024 / 64? | 266 | Divide: 17024 ÷ 64 = 266 because 64*266=17024. | division |
731,156 | percentages | easy | What is 92% of 589? | 541.88 | Calculate 92/100 * 589 = 0.92*589 = 541.88. | percentages |
731,157 | exponents | easy | What is 8^5? | 32768 | 8^5 means multiply 8 by itself 5 times: 8*8*8*8*8 = 32768. | exponents |
731,158 | algebra | easy | Solve for x: 16x + 1 = 225 | 14 | Subtract 1 from both sides: 16x = 225-1=224. Then divide by 16: x = 224/16 = 14. | linear_equation |
731,159 | statistics | easy | What is the mean (average) of 10, 64, 94, 96? | 66 | Mean = sum/count. Sum = 10+64+94+96=264. Count=4. Mean=264/4=66.0. | mean |
731,160 | arithmetic | easy | What is 85 * 68? | 5780 | Multiply: 85 * 68 = 5780. | basic_operations |
731,161 | 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 |
731,162 | 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 |
731,163 | algebra | easy | Solve for x: 10x - 27 = 3 | 3 | Add 27 to both sides: 10x = 3+27=30. Then x = 30/10 = 3. | linear_equation |
731,164 | geometry | easy | Find the area of a circle with radius 45. Use pi=3.14159, round to 2 decimals. | 6361.73 | Area = pi*r^2 = 3.14159*45^2 = 3.14159*2025 = 6361.73. | circle_area |
731,165 | roots | easy | What is the square root of 529? | 23 | Find number that when squared gives 529. 23*23=529, so sqrt(529)=23. | square_roots |
731,166 | arithmetic | easy | What is 6075 / 25? | 243 | Divide: 6075 ÷ 25 = 243 because 25*243=6075. | division |
731,167 | calculus | medium | What is the derivative of 2x^4 with respect to x? | 8x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^4] = 2*4*x^3 = 8x^3. | derivative |
731,168 | statistics | easy | What is the mean (average) of 13, 64, 13? | 30 | Mean = sum/count. Sum = 13+64+13=90. Count=3. Mean=90/3=30.0. | mean |
731,169 | fractions | medium | What is 10/15 * 4/20? Give as simplified fraction. | 2/15 | Multiply numerators: 10*4=40. Denominators: 15*20=300. Simplify by gcd 20 to get 2/15. | fraction_operations |
731,170 | arithmetic | easy | What is 11956 / 49? | 244 | Divide: 11956 ÷ 49 = 244 because 49*244=11956. | division |
731,171 | statistics | easy | What is the mean (average) of 54, 68, 42, 18, 16? | 39.6 | Mean = sum/count. Sum = 54+68+42+18+16=198. Count=5. Mean=198/5=39.6. | mean |
731,172 | arithmetic | easy | What is 52 * 35? | 1820 | Multiply: 52 * 35 = 1820. | basic_operations |
731,173 | 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 |
731,174 | 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 |
731,175 | arithmetic | easy | What is 99 * 64? | 6336 | Multiply: 99 * 64 = 6336. | basic_operations |
731,176 | arithmetic | easy | What is 62 * 26? | 1612 | Multiply: 62 * 26 = 1612. | basic_operations |
731,177 | calculus | medium | What is the derivative of 10x^4 with respect to x? | 40x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^4] = 10*4*x^3 = 40x^3. | derivative |
731,178 | percentages | easy | What is 90% of 196? | 176.4 | Calculate 90/100 * 196 = 0.9*196 = 176.4. | percentages |
731,179 | geometry | easy | Find the area of a circle with radius 35. Use pi=3.14159, round to 2 decimals. | 3848.45 | Area = pi*r^2 = 3.14159*35^2 = 3.14159*1225 = 3848.45. | circle_area |
731,180 | word_problems | easy | If you have 74 candies and you buy 2 more candies, how many candies do you have in total? | 76 | Add initial 74 plus bought 2: 74+2=76. | addition_word |
731,181 | arithmetic | easy | What is 8190 / 65? | 126 | Divide: 8190 ÷ 65 = 126 because 65*126=8190. | division |
731,182 | arithmetic | easy | What is 24424 / 86? | 284 | Divide: 24424 ÷ 86 = 284 because 86*284=24424. | division |
731,183 | number_theory | medium | What is the GCD (greatest common divisor) of 64 and 40? | 8 | Find greatest number dividing both 64 and 40. Divisors common, greatest is 8. | gcd |
731,184 | arithmetic | easy | What is 38844 / 78? | 498 | Divide: 38844 ÷ 78 = 498 because 78*498=38844. | division |
731,185 | statistics | easy | What is the mean (average) of 99, 96, 30, 19, 26? | 54 | Mean = sum/count. Sum = 99+96+30+19+26=270. Count=5. Mean=270/5=54.0. | mean |
731,186 | word_problems | easy | If you have 67 dollars and you buy 20 more dollars, how many dollars do you have in total? | 87 | Add initial 67 plus bought 20: 67+20=87. | addition_word |
731,187 | exponents | easy | What is 7^2? | 49 | 7^2 means multiply 7 by itself 2 times: 7*7 = 49. | exponents |
731,188 | roots | easy | What is the square root of 361? | 19 | Find number that when squared gives 361. 19*19=361, so sqrt(361)=19. | square_roots |
731,189 | exponents | easy | What is 7^4? | 2401 | 7^4 means multiply 7 by itself 4 times: 7*7*7*7 = 2401. | exponents |
731,190 | 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 |
731,191 | geometry | easy | Find the area of a triangle with base 87 and height 2. | 87 | Area = 0.5*base*height = 0.5*87*2 = 87. | triangle_area |
731,192 | arithmetic | easy | What is 925 + 75? | 1000 | Add the two numbers: 925 + 75 = 1000. | basic_operations |
731,193 | arithmetic | easy | What is 73 + 12 * 71? Remember order of operations. | 925 | Order of operations (PEMDAS): first 12*71=852, then 73+852=925. | basic_operations |
731,194 | exponents | easy | What is 5^5? | 3125 | 5^5 means multiply 5 by itself 5 times: 5*5*5*5*5 = 3125. | exponents |
731,195 | percentages | easy | What is 91% of 98? | 89.18 | Calculate 91/100 * 98 = 0.91*98 = 89.18. | percentages |
731,196 | arithmetic | easy | What is 422 + 269 * 29? Remember order of operations. | 8223 | Order of operations (PEMDAS): first 269*29=7801, then 422+7801=8223. | basic_operations |
731,197 | arithmetic | easy | What is 2055 / 5? | 411 | Divide: 2055 ÷ 5 = 411 because 5*411=2055. | division |
731,198 | number_theory | medium | What is the LCM (least common multiple) of 1 and 58? | 58 | LCM = |1*58| / GCD(1,58). GCD=1, so LCM=58/1=58. | lcm |
731,199 | word_problems | easy | If you have 40 apples and you buy 29 more apples, how many apples do you have in total? | 69 | Add initial 40 plus bought 29: 40+29=69. | addition_word |
731,200 | percentages | easy | What is 66% of 190? | 125.4 | Calculate 66/100 * 190 = 0.66*190 = 125.4. | percentages |
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