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 |
|---|---|---|---|---|---|---|
732,101 | arithmetic | easy | What is 505 - 360? | 145 | Subtract: 505 - 360 = 145. | basic_operations |
732,102 | 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 |
732,103 | roots | easy | What is the square root of 2209? | 47 | Find number that when squared gives 2209. 47*47=2209, so sqrt(2209)=47. | square_roots |
732,104 | algebra | easy | Solve for x: 3x + 10 = 70 | 20 | Subtract 10 from both sides: 3x = 70-10=60. Then divide by 3: x = 60/3 = 20. | linear_equation |
732,105 | 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 |
732,106 | arithmetic | easy | What is 20 + 94 * 66? Remember order of operations. | 6224 | Order of operations (PEMDAS): first 94*66=6204, then 20+6204=6224. | basic_operations |
732,107 | 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 |
732,108 | statistics | easy | What is the mean (average) of 68, 32, 1, 29, 54? | 36.8 | Mean = sum/count. Sum = 68+32+1+29+54=184. Count=5. Mean=184/5=36.8. | mean |
732,109 | geometry | easy | Find the circumference of a circle with radius 14. Use pi=3.14159, round to 2 decimals. | 87.96 | Circumference = 2*pi*r = 2*3.14159*14 = 87.96. | circle_circum |
732,110 | fractions | medium | What is 3/5 + 13/2? Give as simplified fraction. | 71/10 | Common denominator 5*2=10. 3/5=6/10, 13/2=65/10. Sum = 71/10 = 71/10 simplified. | fraction_operations |
732,111 | calculus | medium | What is the derivative of 1x^5 with respect to x? | 5x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^5] = 1*5*x^4 = 5x^4. | derivative |
732,112 | percentages | easy | What is 65% of 919? | 597.35 | Calculate 65/100 * 919 = 0.65*919 = 597.35. | percentages |
732,113 | percentages | easy | What is 35% of 141? | 49.35 | Calculate 35/100 * 141 = 0.35*141 = 49.35. | percentages |
732,114 | fractions | medium | What is 3/18 + 3/19? Give as simplified fraction. | 37/114 | Common denominator 18*19=342. 3/18=57/342, 3/19=54/342. Sum = 111/342 = 37/114 simplified. | fraction_operations |
732,115 | algebra | medium | Solve for x: x^2 - 2x - 24 = 0 | x = 6, -4 | Factor: (x - 6)(x - -4) = x^2 -(2)x + -24 = 0. So x = 6 or -4. Check sum = 2, product = -24. | quadratic |
732,116 | statistics | easy | What is the mean (average) of 71, 75, 57? | 67.67 | Mean = sum/count. Sum = 71+75+57=203. Count=3. Mean=203/3=67.67. | mean |
732,117 | arithmetic | easy | What is 798 - 566? | 232 | Subtract: 798 - 566 = 232. | basic_operations |
732,118 | percentages | easy | What is 34% of 544? | 184.96 | Calculate 34/100 * 544 = 0.34*544 = 184.96. | percentages |
732,119 | 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 |
732,120 | arithmetic | easy | What is 359 - 22? | 337 | Subtract: 359 - 22 = 337. | basic_operations |
732,121 | arithmetic | easy | What is 43 + 71 * 49? Remember order of operations. | 3522 | Order of operations (PEMDAS): first 71*49=3479, then 43+3479=3522. | basic_operations |
732,122 | number_theory | medium | What is the LCM (least common multiple) of 15 and 29? | 435 | LCM = |15*29| / GCD(15,29). GCD=1, so LCM=435/1=435. | lcm |
732,123 | algebra | medium | Solve for x: x^2 + 16x + 63 = 0 | x = -9, -7 | Factor: (x - -9)(x - -7) = x^2 -(-16)x + 63 = 0. So x = -9 or -7. Check sum = -16, product = 63. | quadratic |
732,124 | percentages | easy | What is 33% of 39? | 12.87 | Calculate 33/100 * 39 = 0.33*39 = 12.87. | percentages |
732,125 | arithmetic | easy | What is 31 * 8? | 248 | Multiply: 31 * 8 = 248. | basic_operations |
732,126 | arithmetic | easy | What is 772 + 334? | 1106 | Add the two numbers: 772 + 334 = 1106. | basic_operations |
732,127 | number_theory | medium | What is the LCM (least common multiple) of 29 and 56? | 1624 | LCM = |29*56| / GCD(29,56). GCD=1, so LCM=1624/1=1624. | lcm |
732,128 | arithmetic | easy | What is 999 + 862 * 49? Remember order of operations. | 43237 | Order of operations (PEMDAS): first 862*49=42238, then 999+42238=43237. | basic_operations |
732,129 | arithmetic | easy | What is 257 + 544 * 31? Remember order of operations. | 17121 | Order of operations (PEMDAS): first 544*31=16864, then 257+16864=17121. | basic_operations |
732,130 | arithmetic | easy | What is 14260 / 62? | 230 | Divide: 14260 ÷ 62 = 230 because 62*230=14260. | division |
732,131 | 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 |
732,132 | algebra | medium | Solve for x: x^2 - 1x - 90 = 0 | x = -9, 10 | Factor: (x - -9)(x - 10) = x^2 -(1)x + -90 = 0. So x = -9 or 10. Check sum = 1, product = -90. | quadratic |
732,133 | arithmetic | easy | What is 32 * 24? | 768 | Multiply: 32 * 24 = 768. | basic_operations |
732,134 | statistics | easy | What is the mean (average) of 60, 90, 89, 67, 41? | 69.4 | Mean = sum/count. Sum = 60+90+89+67+41=347. Count=5. Mean=347/5=69.4. | mean |
732,135 | fractions | medium | What is 13/13 - 7/18? Give as simplified fraction. | 11/18 | Common denominator 234. Numerator 234-91=143. So 143/234 simplifies to 11/18. | fraction_operations |
732,136 | fractions | medium | What is 7/19 * 15/9? Give as simplified fraction. | 35/57 | Multiply numerators: 7*15=105. Denominators: 19*9=171. Simplify by gcd 3 to get 35/57. | fraction_operations |
732,137 | statistics | easy | What is the mean (average) of 24, 50, 3, 10, 18? | 21 | Mean = sum/count. Sum = 24+50+3+10+18=105. Count=5. Mean=105/5=21.0. | mean |
732,138 | 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 |
732,139 | percentages | easy | What is 2% of 632? | 12.64 | Calculate 2/100 * 632 = 0.02*632 = 12.64. | percentages |
732,140 | word_problems | easy | If you have 72 books and you buy 38 more books, how many books do you have in total? | 110 | Add initial 72 plus bought 38: 72+38=110. | addition_word |
732,141 | statistics | easy | What is the mean (average) of 35, 82, 30, 59? | 51.5 | Mean = sum/count. Sum = 35+82+30+59=206. Count=4. Mean=206/4=51.5. | mean |
732,142 | number_theory | medium | What is the GCD (greatest common divisor) of 17 and 56? | 1 | Find greatest number dividing both 17 and 56. Divisors common, greatest is 1. | gcd |
732,143 | number_theory | medium | What is the GCD (greatest common divisor) of 47 and 48? | 1 | Find greatest number dividing both 47 and 48. Divisors common, greatest is 1. | gcd |
732,144 | arithmetic | easy | What is 952 + 926 * 6? Remember order of operations. | 6508 | Order of operations (PEMDAS): first 926*6=5556, then 952+5556=6508. | basic_operations |
732,145 | geometry | easy | Find the area of a rectangle with length 54 and width 30. | 1620 | Area = length * width = 54*30 = 1620. | rectangle_area |
732,146 | calculus | medium | What is the derivative of 3x^8 with respect to x? | 24x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^8] = 3*8*x^7 = 24x^7. | derivative |
732,147 | fractions | medium | What is 2/8 + 8/11? Give as simplified fraction. | 43/44 | Common denominator 8*11=88. 2/8=22/88, 8/11=64/88. Sum = 86/88 = 43/44 simplified. | fraction_operations |
732,148 | exponents | easy | What is 3^2? | 9 | 3^2 means multiply 3 by itself 2 times: 3*3 = 9. | exponents |
732,149 | exponents | easy | What is 7^4? | 2401 | 7^4 means multiply 7 by itself 4 times: 7*7*7*7 = 2401. | exponents |
732,150 | word_problems | easy | If you have 16 apples and you buy 39 more apples, how many apples do you have in total? | 55 | Add initial 16 plus bought 39: 16+39=55. | addition_word |
732,151 | roots | easy | What is the square root of 900? | 30 | Find number that when squared gives 900. 30*30=900, so sqrt(900)=30. | square_roots |
732,152 | arithmetic | easy | What is 429 + 457 * 37? Remember order of operations. | 17338 | Order of operations (PEMDAS): first 457*37=16909, then 429+16909=17338. | basic_operations |
732,153 | word_problems | easy | If you have 37 apples and you buy 35 more apples, how many apples do you have in total? | 72 | Add initial 37 plus bought 35: 37+35=72. | addition_word |
732,154 | 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 |
732,155 | statistics | easy | What is the mean (average) of 69, 42, 27, 3? | 35.25 | Mean = sum/count. Sum = 69+42+27+3=141. Count=4. Mean=141/4=35.25. | mean |
732,156 | 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 |
732,157 | algebra | easy | Solve for x: 11x + 7 = 7 | 0 | Subtract 7 from both sides: 11x = 7-7=0. Then divide by 11: x = 0/11 = 0. | linear_equation |
732,158 | fractions | medium | What is 14/9 - 8/12? Give as simplified fraction. | 8/9 | Common denominator 108. Numerator 168-72=96. So 96/108 simplifies to 8/9. | fraction_operations |
732,159 | fractions | medium | What is 15/8 + 2/6? Give as simplified fraction. | 53/24 | Common denominator 8*6=48. 15/8=90/48, 2/6=16/48. Sum = 106/48 = 53/24 simplified. | fraction_operations |
732,160 | arithmetic | easy | What is 24 * 58? | 1392 | Multiply: 24 * 58 = 1392. | basic_operations |
732,161 | 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 |
732,162 | algebra | easy | Solve for x: 13x + 14 = -77 | -7 | Subtract 14 from both sides: 13x = -77-14=-91. Then divide by 13: x = -91/13 = -7. | linear_equation |
732,163 | arithmetic | easy | What is 25194 divided by 66? Give answer to 2 decimal places. | 381.73 | Calculate 25194/ 66 = 381.7273, rounded to 2 decimals is 381.73. | division |
732,164 | exponents | easy | What is 9^5? | 59049 | 9^5 means multiply 9 by itself 5 times: 9*9*9*9*9 = 59049. | exponents |
732,165 | percentages | easy | What is 67% of 768? | 514.56 | Calculate 67/100 * 768 = 0.67*768 = 514.56. | percentages |
732,166 | arithmetic | easy | What is 812 + 52? | 864 | Add the two numbers: 812 + 52 = 864. | basic_operations |
732,167 | fractions | medium | What is 2/15 - 10/14? Give as simplified fraction. | -61/105 | Common denominator 210. Numerator 28-150=-122. So -122/210 simplifies to -61/105. | fraction_operations |
732,168 | word_problems | easy | If you have 14 books and you buy 40 more books, how many books do you have in total? | 54 | Add initial 14 plus bought 40: 14+40=54. | addition_word |
732,169 | arithmetic | easy | What is 25056 / 72? | 348 | Divide: 25056 ÷ 72 = 348 because 72*348=25056. | division |
732,170 | arithmetic | easy | What is 510 + 476? | 986 | Add the two numbers: 510 + 476 = 986. | basic_operations |
732,171 | 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 |
732,172 | arithmetic | easy | What is 623 + 200? | 823 | Add the two numbers: 623 + 200 = 823. | basic_operations |
732,173 | number_theory | medium | What is the GCD (greatest common divisor) of 4 and 98? | 2 | Find greatest number dividing both 4 and 98. Divisors common, greatest is 2. | gcd |
732,174 | fractions | medium | What is 17/16 * 18/3? Give as simplified fraction. | 51/8 | Multiply numerators: 17*18=306. Denominators: 16*3=48. Simplify by gcd 6 to get 51/8. | fraction_operations |
732,175 | arithmetic | easy | What is 48 * 96? | 4608 | Multiply: 48 * 96 = 4608. | basic_operations |
732,176 | 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 |
732,177 | arithmetic | easy | What is 705 - 451? | 254 | Subtract: 705 - 451 = 254. | basic_operations |
732,178 | geometry | easy | Find the circumference of a circle with radius 3. Use pi=3.14159, round to 2 decimals. | 18.85 | Circumference = 2*pi*r = 2*3.14159*3 = 18.85. | circle_circum |
732,179 | arithmetic | easy | What is 298 divided by 44? Give answer to 2 decimal places. | 6.77 | Calculate 298/ 44 = 6.7727, rounded to 2 decimals is 6.77. | division |
732,180 | statistics | easy | What is the mean (average) of 77, 36, 74? | 62.33 | Mean = sum/count. Sum = 77+36+74=187. Count=3. Mean=187/3=62.33. | mean |
732,181 | arithmetic | easy | What is 44 * 75? | 3300 | Multiply: 44 * 75 = 3300. | basic_operations |
732,182 | statistics | easy | What is the mean (average) of 73, 86, 53, 87? | 74.75 | Mean = sum/count. Sum = 73+86+53+87=299. Count=4. Mean=299/4=74.75. | mean |
732,183 | arithmetic | easy | What is 998 + 541? | 1539 | Add the two numbers: 998 + 541 = 1539. | basic_operations |
732,184 | statistics | easy | What is the mean (average) of 31, 46, 42, 22, 40? | 36.2 | Mean = sum/count. Sum = 31+46+42+22+40=181. Count=5. Mean=181/5=36.2. | mean |
732,185 | arithmetic | easy | What is 970 + 299 * 92? Remember order of operations. | 28478 | Order of operations (PEMDAS): first 299*92=27508, then 970+27508=28478. | basic_operations |
732,186 | algebra | easy | Solve for x: 12x + 32 = -196 | -19 | Subtract 32 from both sides: 12x = -196-32=-228. Then divide by 12: x = -228/12 = -19. | linear_equation |
732,187 | number_theory | medium | What is the GCD (greatest common divisor) of 7 and 93? | 1 | Find greatest number dividing both 7 and 93. Divisors common, greatest is 1. | gcd |
732,188 | statistics | easy | What is the mean (average) of 64, 15, 55? | 44.67 | Mean = sum/count. Sum = 64+15+55=134. Count=3. Mean=134/3=44.67. | mean |
732,189 | number_theory | medium | What is the LCM (least common multiple) of 6 and 89? | 534 | LCM = |6*89| / GCD(6,89). GCD=1, so LCM=534/1=534. | lcm |
732,190 | fractions | medium | What is 17/20 * 9/11? Give as simplified fraction. | 153/220 | Multiply numerators: 17*9=153. Denominators: 20*11=220. Simplify by gcd 1 to get 153/220. | fraction_operations |
732,191 | word_problems | easy | If you have 52 candies and you buy 8 more candies, how many candies do you have in total? | 60 | Add initial 52 plus bought 8: 52+8=60. | addition_word |
732,192 | geometry | easy | Find the area of a triangle with base 77 and height 90. | 3465 | Area = 0.5*base*height = 0.5*77*90 = 3465. | triangle_area |
732,193 | arithmetic | easy | What is 870 - 194? | 676 | Subtract: 870 - 194 = 676. | basic_operations |
732,194 | percentages | easy | What is 39% of 85? | 33.15 | Calculate 39/100 * 85 = 0.39*85 = 33.15. | percentages |
732,195 | arithmetic | easy | What is 444 - 34? | 410 | Subtract: 444 - 34 = 410. | basic_operations |
732,196 | roots | easy | What is the square root of 36? | 6 | Find number that when squared gives 36. 6*6=36, so sqrt(36)=6. | square_roots |
732,197 | number_theory | medium | What is the LCM (least common multiple) of 63 and 93? | 1953 | LCM = |63*93| / GCD(63,93). GCD=3, so LCM=5859/3=1953. | lcm |
732,198 | arithmetic | easy | What is 385 - 211? | 174 | Subtract: 385 - 211 = 174. | basic_operations |
732,199 | arithmetic | easy | What is 80 * 17? | 1360 | Multiply: 80 * 17 = 1360. | basic_operations |
732,200 | geometry | easy | Find the perimeter of a rectangle with length 43 and width 59. | 204 | Perimeter = 2*(length+width) = 2*(43+59) = 2*102 = 204. | rectangle_perim |
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