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 |
|---|---|---|---|---|---|---|
733,101 | algebra | medium | Solve for x: x^2 + 12x + 20 = 0 | x = -2, -10 | Factor: (x - -2)(x - -10) = x^2 -(-12)x + 20 = 0. So x = -2 or -10. Check sum = -12, product = 20. | quadratic |
733,102 | algebra | medium | Solve for x: x^2 - 11x + 10 = 0 | x = 10, 1 | Factor: (x - 10)(x - 1) = x^2 -(11)x + 10 = 0. So x = 10 or 1. Check sum = 11, product = 10. | quadratic |
733,103 | 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 |
733,104 | arithmetic | easy | What is 170 + 436? | 606 | Add the two numbers: 170 + 436 = 606. | basic_operations |
733,105 | arithmetic | easy | What is 860 - 607? | 253 | Subtract: 860 - 607 = 253. | basic_operations |
733,106 | 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 |
733,107 | arithmetic | easy | What is 429 + 555? | 984 | Add the two numbers: 429 + 555 = 984. | basic_operations |
733,108 | word_problems | easy | If you have 93 pencils and you buy 41 more pencils, how many pencils do you have in total? | 134 | Add initial 93 plus bought 41: 93+41=134. | addition_word |
733,109 | arithmetic | easy | What is 96 * 47? | 4512 | Multiply: 96 * 47 = 4512. | basic_operations |
733,110 | algebra | easy | Solve for x: 6x - 29 = -119 | -15 | Add 29 to both sides: 6x = -119+29=-90. Then x = -90/6 = -15. | linear_equation |
733,111 | statistics | easy | What is the mean (average) of 78, 97, 52, 50, 25? | 60.4 | Mean = sum/count. Sum = 78+97+52+50+25=302. Count=5. Mean=302/5=60.4. | mean |
733,112 | algebra | easy | Solve for x: 13x - 23 = -10 | 1 | Add 23 to both sides: 13x = -10+23=13. Then x = 13/13 = 1. | linear_equation |
733,113 | 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 |
733,114 | exponents | easy | What is 3^3? | 27 | 3^3 means multiply 3 by itself 3 times: 3*3*3 = 27. | exponents |
733,115 | 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 |
733,116 | geometry | easy | Find the perimeter of a rectangle with length 25 and width 5. | 60 | Perimeter = 2*(length+width) = 2*(25+5) = 2*30 = 60. | rectangle_perim |
733,117 | arithmetic | easy | What is 469 - 14? | 455 | Subtract: 469 - 14 = 455. | basic_operations |
733,118 | exponents | easy | What is 2^4? | 16 | 2^4 means multiply 2 by itself 4 times: 2*2*2*2 = 16. | exponents |
733,119 | number_theory | medium | What is the LCM (least common multiple) of 59 and 8? | 472 | LCM = |59*8| / GCD(59,8). GCD=1, so LCM=472/1=472. | lcm |
733,120 | number_theory | medium | What is the GCD (greatest common divisor) of 40 and 70? | 10 | Find greatest number dividing both 40 and 70. Divisors common, greatest is 10. | gcd |
733,121 | algebra | easy | Solve for x: 13x - 34 = 213 | 19 | Add 34 to both sides: 13x = 213+34=247. Then x = 247/13 = 19. | linear_equation |
733,122 | roots | easy | What is the square root of 1156? | 34 | Find number that when squared gives 1156. 34*34=1156, so sqrt(1156)=34. | square_roots |
733,123 | statistics | easy | What is the mean (average) of 83, 85, 38? | 68.67 | Mean = sum/count. Sum = 83+85+38=206. Count=3. Mean=206/3=68.67. | mean |
733,124 | number_theory | medium | What is the GCD (greatest common divisor) of 75 and 80? | 5 | Find greatest number dividing both 75 and 80. Divisors common, greatest is 5. | gcd |
733,125 | calculus | medium | What is the derivative of 10x^5 with respect to x? | 50x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^5] = 10*5*x^4 = 50x^4. | derivative |
733,126 | arithmetic | easy | What is 20 * 23? | 460 | Multiply: 20 * 23 = 460. | basic_operations |
733,127 | arithmetic | easy | What is 471 - 231? | 240 | Subtract: 471 - 231 = 240. | basic_operations |
733,128 | arithmetic | easy | What is 50 * 79? | 3950 | Multiply: 50 * 79 = 3950. | basic_operations |
733,129 | word_problems | easy | If you have 93 pencils and you buy 30 more pencils, how many pencils do you have in total? | 123 | Add initial 93 plus bought 30: 93+30=123. | addition_word |
733,130 | calculus | medium | What is the derivative of 5x^5 with respect to x? | 25x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^5] = 5*5*x^4 = 25x^4. | derivative |
733,131 | arithmetic | easy | What is 400 + 789? | 1189 | Add the two numbers: 400 + 789 = 1189. | basic_operations |
733,132 | calculus | medium | What is the derivative of 2x^7 with respect to x? | 14x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^7] = 2*7*x^6 = 14x^6. | derivative |
733,133 | arithmetic | easy | What is 875 + 454 * 58? Remember order of operations. | 27207 | Order of operations (PEMDAS): first 454*58=26332, then 875+26332=27207. | basic_operations |
733,134 | algebra | medium | Solve for x: x^2 + 2x - 8 = 0 | x = 2, -4 | Factor: (x - 2)(x - -4) = x^2 -(-2)x + -8 = 0. So x = 2 or -4. Check sum = -2, product = -8. | quadratic |
733,135 | exponents | easy | What is 12^5? | 248832 | 12^5 means multiply 12 by itself 5 times: 12*12*12*12*12 = 248832. | exponents |
733,136 | algebra | easy | Solve for x: 1x - 37 = -30 | 7 | Add 37 to both sides: 1x = -30+37=7. Then x = 7/1 = 7. | linear_equation |
733,137 | 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 |
733,138 | fractions | medium | What is 6/17 * 17/5? Give as simplified fraction. | 6/5 | Multiply numerators: 6*17=102. Denominators: 17*5=85. Simplify by gcd 17 to get 6/5. | fraction_operations |
733,139 | 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 |
733,140 | 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 |
733,141 | algebra | easy | Solve for x: 18x + 26 = -190 | -12 | Subtract 26 from both sides: 18x = -190-26=-216. Then divide by 18: x = -216/18 = -12. | linear_equation |
733,142 | exponents | easy | What is 9^3? | 729 | 9^3 means multiply 9 by itself 3 times: 9*9*9 = 729. | exponents |
733,143 | arithmetic | easy | What is 968 + 785 * 51? Remember order of operations. | 41003 | Order of operations (PEMDAS): first 785*51=40035, then 968+40035=41003. | basic_operations |
733,144 | calculus | medium | What is the derivative of 7x^8 with respect to x? | 56x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^8] = 7*8*x^7 = 56x^7. | derivative |
733,145 | roots | easy | What is the square root of 64? | 8 | Find number that when squared gives 64. 8*8=64, so sqrt(64)=8. | square_roots |
733,146 | arithmetic | easy | What is 98 + 783? | 881 | Add the two numbers: 98 + 783 = 881. | basic_operations |
733,147 | arithmetic | easy | What is 362 + 180 * 69? Remember order of operations. | 12782 | Order of operations (PEMDAS): first 180*69=12420, then 362+12420=12782. | basic_operations |
733,148 | 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 |
733,149 | statistics | easy | What is the mean (average) of 40, 9, 58? | 35.67 | Mean = sum/count. Sum = 40+9+58=107. Count=3. Mean=107/3=35.67. | mean |
733,150 | arithmetic | easy | What is 504 + 248? | 752 | Add the two numbers: 504 + 248 = 752. | basic_operations |
733,151 | calculus | medium | What is the derivative of 3x^5 with respect to x? | 15x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^5] = 3*5*x^4 = 15x^4. | derivative |
733,152 | calculus | medium | What is the derivative of 10x^8 with respect to x? | 80x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^8] = 10*8*x^7 = 80x^7. | derivative |
733,153 | number_theory | medium | What is the GCD (greatest common divisor) of 7 and 85? | 1 | Find greatest number dividing both 7 and 85. Divisors common, greatest is 1. | gcd |
733,154 | calculus | medium | What is the derivative of 7x^6 with respect to x? | 42x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^6] = 7*6*x^5 = 42x^5. | derivative |
733,155 | percentages | easy | What is 55% of 18? | 9.9 | Calculate 55/100 * 18 = 0.55*18 = 9.9. | percentages |
733,156 | word_problems | easy | If you have 27 books and you buy 50 more books, how many books do you have in total? | 77 | Add initial 27 plus bought 50: 27+50=77. | addition_word |
733,157 | percentages | easy | What is 44% of 602? | 264.88 | Calculate 44/100 * 602 = 0.44*602 = 264.88. | percentages |
733,158 | exponents | easy | What is 9^3? | 729 | 9^3 means multiply 9 by itself 3 times: 9*9*9 = 729. | exponents |
733,159 | percentages | easy | What is 69% of 336? | 231.84 | Calculate 69/100 * 336 = 0.69*336 = 231.84. | percentages |
733,160 | geometry | easy | Find the area of a circle with radius 31. Use pi=3.14159, round to 2 decimals. | 3019.07 | Area = pi*r^2 = 3.14159*31^2 = 3.14159*961 = 3019.07. | circle_area |
733,161 | number_theory | medium | What is the LCM (least common multiple) of 32 and 26? | 416 | LCM = |32*26| / GCD(32,26). GCD=2, so LCM=832/2=416. | lcm |
733,162 | algebra | easy | Solve for x: 10x - 18 = -118 | -10 | Add 18 to both sides: 10x = -118+18=-100. Then x = -100/10 = -10. | linear_equation |
733,163 | roots | easy | What is the square root of 121? | 11 | Find number that when squared gives 121. 11*11=121, so sqrt(121)=11. | square_roots |
733,164 | number_theory | medium | What is the LCM (least common multiple) of 74 and 21? | 1554 | LCM = |74*21| / GCD(74,21). GCD=1, so LCM=1554/1=1554. | lcm |
733,165 | fractions | medium | What is 8/14 - 2/19? Give as simplified fraction. | 62/133 | Common denominator 266. Numerator 152-28=124. So 124/266 simplifies to 62/133. | fraction_operations |
733,166 | geometry | easy | Find the area of a rectangle with length 39 and width 41. | 1599 | Area = length * width = 39*41 = 1599. | rectangle_area |
733,167 | number_theory | medium | What is the GCD (greatest common divisor) of 62 and 14? | 2 | Find greatest number dividing both 62 and 14. Divisors common, greatest is 2. | gcd |
733,168 | 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 |
733,169 | number_theory | medium | What is the LCM (least common multiple) of 21 and 3? | 21 | LCM = |21*3| / GCD(21,3). GCD=3, so LCM=63/3=21. | lcm |
733,170 | algebra | medium | Solve for x: x^2 - 4x - 60 = 0 | x = 10, -6 | Factor: (x - 10)(x - -6) = x^2 -(4)x + -60 = 0. So x = 10 or -6. Check sum = 4, product = -60. | quadratic |
733,171 | arithmetic | easy | What is 539 + 969? | 1508 | Add the two numbers: 539 + 969 = 1508. | basic_operations |
733,172 | 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 |
733,173 | algebra | medium | Solve for x: x^2 + 9x + 20 = 0 | x = -4, -5 | Factor: (x - -4)(x - -5) = x^2 -(-9)x + 20 = 0. So x = -4 or -5. Check sum = -9, product = 20. | quadratic |
733,174 | arithmetic | easy | What is 310 - 116? | 194 | Subtract: 310 - 116 = 194. | basic_operations |
733,175 | fractions | medium | What is 19/4 - 20/19? Give as simplified fraction. | 281/76 | Common denominator 76. Numerator 361-80=281. So 281/76 simplifies to 281/76. | fraction_operations |
733,176 | word_problems | easy | If you have 58 dollars and you buy 15 more dollars, how many dollars do you have in total? | 73 | Add initial 58 plus bought 15: 58+15=73. | addition_word |
733,177 | fractions | medium | What is 8/4 * 4/5? Give as simplified fraction. | 8/5 | Multiply numerators: 8*4=32. Denominators: 4*5=20. Simplify by gcd 4 to get 8/5. | fraction_operations |
733,178 | 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 |
733,179 | algebra | easy | Solve for x: 18x - 25 = -79 | -3 | Add 25 to both sides: 18x = -79+25=-54. Then x = -54/18 = -3. | linear_equation |
733,180 | percentages | easy | What is 39% of 397? | 154.83 | Calculate 39/100 * 397 = 0.39*397 = 154.83. | percentages |
733,181 | word_problems | easy | If you have 97 pencils and you buy 48 more pencils, how many pencils do you have in total? | 145 | Add initial 97 plus bought 48: 97+48=145. | addition_word |
733,182 | exponents | easy | What is 8^5? | 32768 | 8^5 means multiply 8 by itself 5 times: 8*8*8*8*8 = 32768. | exponents |
733,183 | calculus | medium | What is the derivative of 9x^2 with respect to x? | 18x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^2] = 9*2*x^1 = 18x. | derivative |
733,184 | 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 |
733,185 | arithmetic | easy | What is 69 + 548? | 617 | Add the two numbers: 69 + 548 = 617. | basic_operations |
733,186 | roots | easy | What is the square root of 1849? | 43 | Find number that when squared gives 1849. 43*43=1849, so sqrt(1849)=43. | square_roots |
733,187 | statistics | easy | What is the mean (average) of 44, 30, 14, 49, 99? | 47.2 | Mean = sum/count. Sum = 44+30+14+49+99=236. Count=5. Mean=236/5=47.2. | mean |
733,188 | roots | easy | What is the square root of 1936? | 44 | Find number that when squared gives 1936. 44*44=1936, so sqrt(1936)=44. | square_roots |
733,189 | calculus | medium | What is the derivative of 10x^2 with respect to x? | 20x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^2] = 10*2*x^1 = 20x. | derivative |
733,190 | geometry | easy | Find the area of a circle with radius 47. Use pi=3.14159, round to 2 decimals. | 6939.78 | Area = pi*r^2 = 3.14159*47^2 = 3.14159*2209 = 6939.78. | circle_area |
733,191 | number_theory | medium | What is the LCM (least common multiple) of 49 and 13? | 637 | LCM = |49*13| / GCD(49,13). GCD=1, so LCM=637/1=637. | lcm |
733,192 | calculus | medium | What is the derivative of 7x^8 with respect to x? | 56x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^8] = 7*8*x^7 = 56x^7. | derivative |
733,193 | word_problems | easy | If you have 88 apples and you buy 42 more apples, how many apples do you have in total? | 130 | Add initial 88 plus bought 42: 88+42=130. | addition_word |
733,194 | 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 |
733,195 | word_problems | easy | If you have 16 books and you buy 45 more books, how many books do you have in total? | 61 | Add initial 16 plus bought 45: 16+45=61. | addition_word |
733,196 | arithmetic | easy | What is 873 - 43? | 830 | Subtract: 873 - 43 = 830. | basic_operations |
733,197 | arithmetic | easy | What is 35 + 513 * 37? Remember order of operations. | 19016 | Order of operations (PEMDAS): first 513*37=18981, then 35+18981=19016. | basic_operations |
733,198 | percentages | easy | What is 48% of 802? | 384.96 | Calculate 48/100 * 802 = 0.48*802 = 384.96. | percentages |
733,199 | 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 |
733,200 | 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 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.