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 |
|---|---|---|---|---|---|---|
4,101 | algebra | easy | Solve for x: 16x - 7 = -247 | -15 | Add 7 to both sides: 16x = -247+7=-240. Then x = -240/16 = -15. | linear_equation |
4,102 | statistics | easy | What is the mean (average) of 69, 67, 79, 81? | 74 | Mean = sum/count. Sum = 69+67+79+81=296. Count=4. Mean=296/4=74.0. | mean |
4,103 | arithmetic | easy | What is 645 - 258? | 387 | Subtract: 645 - 258 = 387. | basic_operations |
4,104 | percentages | easy | What is 41% of 950? | 389.5 | Calculate 41/100 * 950 = 0.41*950 = 389.5. | percentages |
4,105 | 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 |
4,106 | fractions | medium | What is 12/11 * 7/12? Give as simplified fraction. | 7/11 | Multiply numerators: 12*7=84. Denominators: 11*12=132. Simplify by gcd 12 to get 7/11. | fraction_operations |
4,107 | 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 |
4,108 | geometry | easy | Find the area of a triangle with base 55 and height 86. | 2365 | Area = 0.5*base*height = 0.5*55*86 = 2365. | triangle_area |
4,109 | fractions | medium | What is 20/6 * 10/8? Give as simplified fraction. | 25/6 | Multiply numerators: 20*10=200. Denominators: 6*8=48. Simplify by gcd 8 to get 25/6. | fraction_operations |
4,110 | number_theory | medium | What is the LCM (least common multiple) of 92 and 70? | 3220 | LCM = |92*70| / GCD(92,70). GCD=2, so LCM=6440/2=3220. | lcm |
4,111 | fractions | medium | What is 15/20 + 17/7? Give as simplified fraction. | 89/28 | Common denominator 20*7=140. 15/20=105/140, 17/7=340/140. Sum = 445/140 = 89/28 simplified. | fraction_operations |
4,112 | exponents | easy | What is 12^3? | 1728 | 12^3 means multiply 12 by itself 3 times: 12*12*12 = 1728. | exponents |
4,113 | fractions | medium | What is 20/12 - 6/17? Give as simplified fraction. | 67/51 | Common denominator 204. Numerator 340-72=268. So 268/204 simplifies to 67/51. | fraction_operations |
4,114 | percentages | easy | What is 51% of 496? | 252.96 | Calculate 51/100 * 496 = 0.51*496 = 252.96. | percentages |
4,115 | geometry | easy | Find the area of a triangle with base 59 and height 69. | 2035.5 | Area = 0.5*base*height = 0.5*59*69 = 2035.5. | triangle_area |
4,116 | roots | easy | What is the square root of 100? | 10 | Find number that when squared gives 100. 10*10=100, so sqrt(100)=10. | square_roots |
4,117 | geometry | easy | Find the area of a triangle with base 10 and height 33. | 165 | Area = 0.5*base*height = 0.5*10*33 = 165. | triangle_area |
4,118 | arithmetic | easy | What is 20886 divided by 50? Give answer to 2 decimal places. | 417.72 | Calculate 20886/ 50 = 417.7200, rounded to 2 decimals is 417.72. | division |
4,119 | arithmetic | easy | What is 194 - 69? | 125 | Subtract: 194 - 69 = 125. | basic_operations |
4,120 | geometry | easy | Find the area of a triangle with base 73 and height 54. | 1971 | Area = 0.5*base*height = 0.5*73*54 = 1971. | triangle_area |
4,121 | fractions | medium | What is 9/3 * 14/17? Give as simplified fraction. | 42/17 | Multiply numerators: 9*14=126. Denominators: 3*17=51. Simplify by gcd 3 to get 42/17. | fraction_operations |
4,122 | arithmetic | easy | What is 13888 / 62? | 224 | Divide: 13888 ÷ 62 = 224 because 62*224=13888. | division |
4,123 | arithmetic | easy | What is 1767 / 19? | 93 | Divide: 1767 ÷ 19 = 93 because 19*93=1767. | division |
4,124 | arithmetic | easy | What is 868 + 43 * 9? Remember order of operations. | 1255 | Order of operations (PEMDAS): first 43*9=387, then 868+387=1255. | basic_operations |
4,125 | geometry | easy | Find the perimeter of a rectangle with length 13 and width 96. | 218 | Perimeter = 2*(length+width) = 2*(13+96) = 2*109 = 218. | rectangle_perim |
4,126 | 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 |
4,127 | arithmetic | easy | What is 913 + 677 * 73? Remember order of operations. | 50334 | Order of operations (PEMDAS): first 677*73=49421, then 913+49421=50334. | basic_operations |
4,128 | 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 |
4,129 | geometry | easy | Find the area of a circle with radius 28. Use pi=3.14159, round to 2 decimals. | 2463.01 | Area = pi*r^2 = 3.14159*28^2 = 3.14159*784 = 2463.01. | circle_area |
4,130 | percentages | easy | What is 30% of 226? | 67.8 | Calculate 30/100 * 226 = 0.3*226 = 67.8. | percentages |
4,131 | geometry | easy | Find the area of a triangle with base 46 and height 31. | 713 | Area = 0.5*base*height = 0.5*46*31 = 713. | triangle_area |
4,132 | algebra | easy | Solve for x: 1x + 20 = 37 | 17 | Subtract 20 from both sides: 1x = 37-20=17. Then divide by 1: x = 17/1 = 17. | linear_equation |
4,133 | 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 |
4,134 | percentages | easy | What is 22% of 826? | 181.72 | Calculate 22/100 * 826 = 0.22*826 = 181.72. | percentages |
4,135 | 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 |
4,136 | arithmetic | easy | What is 95 * 79? | 7505 | Multiply: 95 * 79 = 7505. | basic_operations |
4,137 | geometry | easy | Find the circumference of a circle with radius 8. Use pi=3.14159, round to 2 decimals. | 50.27 | Circumference = 2*pi*r = 2*3.14159*8 = 50.27. | circle_circum |
4,138 | arithmetic | easy | What is 14289 / 33? | 433 | Divide: 14289 ÷ 33 = 433 because 33*433=14289. | division |
4,139 | percentages | easy | What is 59% of 625? | 368.75 | Calculate 59/100 * 625 = 0.59*625 = 368.75. | percentages |
4,140 | algebra | medium | Solve for x: x^2 + 8x + 15 = 0 | x = -5, -3 | Factor: (x - -5)(x - -3) = x^2 -(-8)x + 15 = 0. So x = -5 or -3. Check sum = -8, product = 15. | quadratic |
4,141 | geometry | easy | Find the area of a rectangle with length 1 and width 31. | 31 | Area = length * width = 1*31 = 31. | rectangle_area |
4,142 | exponents | easy | What is 8^5? | 32768 | 8^5 means multiply 8 by itself 5 times: 8*8*8*8*8 = 32768. | exponents |
4,143 | word_problems | easy | If you have 32 apples and you buy 15 more apples, how many apples do you have in total? | 47 | Add initial 32 plus bought 15: 32+15=47. | addition_word |
4,144 | arithmetic | easy | What is 730 + 419 * 57? Remember order of operations. | 24613 | Order of operations (PEMDAS): first 419*57=23883, then 730+23883=24613. | basic_operations |
4,145 | 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 |
4,146 | 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 |
4,147 | geometry | easy | Find the perimeter of a rectangle with length 87 and width 63. | 300 | Perimeter = 2*(length+width) = 2*(87+63) = 2*150 = 300. | rectangle_perim |
4,148 | 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 |
4,149 | roots | easy | What is the square root of 441? | 21 | Find number that when squared gives 441. 21*21=441, so sqrt(441)=21. | square_roots |
4,150 | arithmetic | easy | What is 520 - 512? | 8 | Subtract: 520 - 512 = 8. | basic_operations |
4,151 | fractions | medium | What is 12/6 + 3/14? Give as simplified fraction. | 31/14 | Common denominator 6*14=84. 12/6=168/84, 3/14=18/84. Sum = 186/84 = 31/14 simplified. | fraction_operations |
4,152 | calculus | medium | What is the derivative of 4x^3 with respect to x? | 12x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^3] = 4*3*x^2 = 12x^2. | derivative |
4,153 | 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 |
4,154 | 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 |
4,155 | exponents | easy | What is 5^5? | 3125 | 5^5 means multiply 5 by itself 5 times: 5*5*5*5*5 = 3125. | exponents |
4,156 | statistics | easy | What is the mean (average) of 88, 73, 32? | 64.33 | Mean = sum/count. Sum = 88+73+32=193. Count=3. Mean=193/3=64.33. | mean |
4,157 | arithmetic | easy | What is 731 - 464? | 267 | Subtract: 731 - 464 = 267. | basic_operations |
4,158 | number_theory | medium | What is the LCM (least common multiple) of 49 and 3? | 147 | LCM = |49*3| / GCD(49,3). GCD=1, so LCM=147/1=147. | lcm |
4,159 | 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 |
4,160 | word_problems | easy | If you have 59 candies and you buy 6 more candies, how many candies do you have in total? | 65 | Add initial 59 plus bought 6: 59+6=65. | addition_word |
4,161 | geometry | easy | Find the area of a circle with radius 15. Use pi=3.14159, round to 2 decimals. | 706.86 | Area = pi*r^2 = 3.14159*15^2 = 3.14159*225 = 706.86. | circle_area |
4,162 | geometry | easy | Find the area of a circle with radius 17. Use pi=3.14159, round to 2 decimals. | 907.92 | Area = pi*r^2 = 3.14159*17^2 = 3.14159*289 = 907.92. | circle_area |
4,163 | statistics | easy | What is the mean (average) of 22, 29, 75? | 42 | Mean = sum/count. Sum = 22+29+75=126. Count=3. Mean=126/3=42.0. | mean |
4,164 | fractions | medium | What is 2/14 + 12/3? Give as simplified fraction. | 29/7 | Common denominator 14*3=42. 2/14=6/42, 12/3=168/42. Sum = 174/42 = 29/7 simplified. | fraction_operations |
4,165 | arithmetic | easy | What is 725 + 938? | 1663 | Add the two numbers: 725 + 938 = 1663. | basic_operations |
4,166 | arithmetic | easy | What is 257 - 82? | 175 | Subtract: 257 - 82 = 175. | basic_operations |
4,167 | exponents | easy | What is 4^5? | 1024 | 4^5 means multiply 4 by itself 5 times: 4*4*4*4*4 = 1024. | exponents |
4,168 | geometry | easy | Find the perimeter of a rectangle with length 30 and width 53. | 166 | Perimeter = 2*(length+width) = 2*(30+53) = 2*83 = 166. | rectangle_perim |
4,169 | exponents | easy | What is 4^2? | 16 | 4^2 means multiply 4 by itself 2 times: 4*4 = 16. | exponents |
4,170 | percentages | easy | What is 12% of 636? | 76.32 | Calculate 12/100 * 636 = 0.12*636 = 76.32. | percentages |
4,171 | arithmetic | easy | What is 587 + 671 * 95? Remember order of operations. | 64332 | Order of operations (PEMDAS): first 671*95=63745, then 587+63745=64332. | basic_operations |
4,172 | statistics | easy | What is the mean (average) of 22, 31, 3, 26? | 20.5 | Mean = sum/count. Sum = 22+31+3+26=82. Count=4. Mean=82/4=20.5. | mean |
4,173 | arithmetic | easy | What is 792 - 69? | 723 | Subtract: 792 - 69 = 723. | basic_operations |
4,174 | algebra | medium | Solve for x: x^2 - 49 = 0 | x = 7, -7 | Factor: (x - 7)(x - -7) = x^2 -(0)x + -49 = 0. So x = 7 or -7. Check sum = 0, product = -49. | quadratic |
4,175 | word_problems | easy | If you have 75 dollars and you buy 49 more dollars, how many dollars do you have in total? | 124 | Add initial 75 plus bought 49: 75+49=124. | addition_word |
4,176 | algebra | medium | Solve for x: x^2 - 1x - 42 = 0 | x = -6, 7 | Factor: (x - -6)(x - 7) = x^2 -(1)x + -42 = 0. So x = -6 or 7. Check sum = 1, product = -42. | quadratic |
4,177 | algebra | medium | Solve for x: x^2 + 13x + 30 = 0 | x = -3, -10 | Factor: (x - -3)(x - -10) = x^2 -(-13)x + 30 = 0. So x = -3 or -10. Check sum = -13, product = 30. | quadratic |
4,178 | 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 |
4,179 | geometry | easy | Find the area of a triangle with base 3 and height 65. | 97.5 | Area = 0.5*base*height = 0.5*3*65 = 97.5. | triangle_area |
4,180 | arithmetic | easy | What is 404 + 139? | 543 | Add the two numbers: 404 + 139 = 543. | basic_operations |
4,181 | algebra | easy | Solve for x: 8x + 27 = 51 | 3 | Subtract 27 from both sides: 8x = 51-27=24. Then divide by 8: x = 24/8 = 3. | linear_equation |
4,182 | geometry | easy | Find the circumference of a circle with radius 16. Use pi=3.14159, round to 2 decimals. | 100.53 | Circumference = 2*pi*r = 2*3.14159*16 = 100.53. | circle_circum |
4,183 | word_problems | easy | If you have 27 apples and you buy 46 more apples, how many apples do you have in total? | 73 | Add initial 27 plus bought 46: 27+46=73. | addition_word |
4,184 | percentages | easy | What is 21% of 656? | 137.76 | Calculate 21/100 * 656 = 0.21*656 = 137.76. | percentages |
4,185 | arithmetic | easy | What is 69 + 387 * 18? Remember order of operations. | 7035 | Order of operations (PEMDAS): first 387*18=6966, then 69+6966=7035. | basic_operations |
4,186 | statistics | easy | What is the mean (average) of 97, 51, 71, 70, 93? | 76.4 | Mean = sum/count. Sum = 97+51+71+70+93=382. Count=5. Mean=382/5=76.4. | mean |
4,187 | 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 |
4,188 | number_theory | medium | What is the LCM (least common multiple) of 78 and 74? | 2886 | LCM = |78*74| / GCD(78,74). GCD=2, so LCM=5772/2=2886. | lcm |
4,189 | geometry | easy | Find the area of a triangle with base 53 and height 22. | 583 | Area = 0.5*base*height = 0.5*53*22 = 583. | triangle_area |
4,190 | statistics | easy | What is the mean (average) of 5, 27, 10? | 14 | Mean = sum/count. Sum = 5+27+10=42. Count=3. Mean=42/3=14.0. | mean |
4,191 | number_theory | medium | What is the LCM (least common multiple) of 39 and 15? | 195 | LCM = |39*15| / GCD(39,15). GCD=3, so LCM=585/3=195. | lcm |
4,192 | 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 |
4,193 | number_theory | medium | What is the LCM (least common multiple) of 4 and 41? | 164 | LCM = |4*41| / GCD(4,41). GCD=1, so LCM=164/1=164. | lcm |
4,194 | fractions | medium | What is 1/8 - 14/6? Give as simplified fraction. | -53/24 | Common denominator 48. Numerator 6-112=-106. So -106/48 simplifies to -53/24. | fraction_operations |
4,195 | algebra | easy | Solve for x: 10x + 0 = -50 | -5 | Subtract 0 from both sides: 10x = -50-0=-50. Then divide by 10: x = -50/10 = -5. | linear_equation |
4,196 | algebra | easy | Solve for x: 1x - 21 = -13 | 8 | Add 21 to both sides: 1x = -13+21=8. Then x = 8/1 = 8. | linear_equation |
4,197 | geometry | easy | Find the circumference of a circle with radius 26. Use pi=3.14159, round to 2 decimals. | 163.36 | Circumference = 2*pi*r = 2*3.14159*26 = 163.36. | circle_circum |
4,198 | word_problems | easy | If you have 96 dollars and you buy 30 more dollars, how many dollars do you have in total? | 126 | Add initial 96 plus bought 30: 96+30=126. | addition_word |
4,199 | fractions | medium | What is 15/6 + 14/3? Give as simplified fraction. | 43/6 | Common denominator 6*3=18. 15/6=45/18, 14/3=84/18. Sum = 129/18 = 43/6 simplified. | fraction_operations |
4,200 | algebra | easy | Solve for x: 4x - 13 = -1 | 3 | Add 13 to both sides: 4x = -1+13=12. Then x = 12/4 = 3. | linear_equation |
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