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 |
|---|---|---|---|---|---|---|
734,101 | arithmetic | easy | What is 31584 / 94? | 336 | Divide: 31584 ÷ 94 = 336 because 94*336=31584. | division |
734,102 | fractions | medium | What is 15/2 - 1/7? Give as simplified fraction. | 103/14 | Common denominator 14. Numerator 105-2=103. So 103/14 simplifies to 103/14. | fraction_operations |
734,103 | geometry | easy | Find the perimeter of a rectangle with length 27 and width 15. | 84 | Perimeter = 2*(length+width) = 2*(27+15) = 2*42 = 84. | rectangle_perim |
734,104 | arithmetic | easy | What is 725 + 222 * 18? Remember order of operations. | 4721 | Order of operations (PEMDAS): first 222*18=3996, then 725+3996=4721. | basic_operations |
734,105 | arithmetic | easy | What is 31 * 91? | 2821 | Multiply: 31 * 91 = 2821. | basic_operations |
734,106 | algebra | easy | Solve for x: 12x - 8 = 148 | 13 | Add 8 to both sides: 12x = 148+8=156. Then x = 156/12 = 13. | linear_equation |
734,107 | arithmetic | easy | What is 346 + 491 * 58? Remember order of operations. | 28824 | Order of operations (PEMDAS): first 491*58=28478, then 346+28478=28824. | basic_operations |
734,108 | word_problems | easy | If you have 82 apples and you buy 37 more apples, how many apples do you have in total? | 119 | Add initial 82 plus bought 37: 82+37=119. | addition_word |
734,109 | number_theory | medium | What is the LCM (least common multiple) of 74 and 56? | 2072 | LCM = |74*56| / GCD(74,56). GCD=2, so LCM=4144/2=2072. | lcm |
734,110 | 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 |
734,111 | percentages | easy | What is 42% of 732? | 307.44 | Calculate 42/100 * 732 = 0.42*732 = 307.44. | percentages |
734,112 | algebra | easy | Solve for x: 14x + 3 = 213 | 15 | Subtract 3 from both sides: 14x = 213-3=210. Then divide by 14: x = 210/14 = 15. | linear_equation |
734,113 | arithmetic | easy | What is 78 * 68? | 5304 | Multiply: 78 * 68 = 5304. | basic_operations |
734,114 | 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 |
734,115 | statistics | easy | What is the mean (average) of 5, 6, 39, 23, 90? | 32.6 | Mean = sum/count. Sum = 5+6+39+23+90=163. Count=5. Mean=163/5=32.6. | mean |
734,116 | arithmetic | easy | What is 4880 / 20? | 244 | Divide: 4880 ÷ 20 = 244 because 20*244=4880. | division |
734,117 | arithmetic | easy | What is 548 + 531 * 61? Remember order of operations. | 32939 | Order of operations (PEMDAS): first 531*61=32391, then 548+32391=32939. | basic_operations |
734,118 | number_theory | medium | What is the GCD (greatest common divisor) of 18 and 5? | 1 | Find greatest number dividing both 18 and 5. Divisors common, greatest is 1. | gcd |
734,119 | algebra | medium | Solve for x: x^2 - 3x + 2 = 0 | x = 1, 2 | Factor: (x - 1)(x - 2) = x^2 -(3)x + 2 = 0. So x = 1 or 2. Check sum = 3, product = 2. | quadratic |
734,120 | algebra | easy | Solve for x: 8x - 25 = 127 | 19 | Add 25 to both sides: 8x = 127+25=152. Then x = 152/8 = 19. | linear_equation |
734,121 | arithmetic | easy | What is 114 + 826? | 940 | Add the two numbers: 114 + 826 = 940. | basic_operations |
734,122 | 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 |
734,123 | arithmetic | easy | What is 715 + 727 * 59? Remember order of operations. | 43608 | Order of operations (PEMDAS): first 727*59=42893, then 715+42893=43608. | basic_operations |
734,124 | 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 |
734,125 | number_theory | medium | What is the LCM (least common multiple) of 20 and 98? | 980 | LCM = |20*98| / GCD(20,98). GCD=2, so LCM=1960/2=980. | lcm |
734,126 | statistics | easy | What is the mean (average) of 80, 22, 72, 73, 34? | 56.2 | Mean = sum/count. Sum = 80+22+72+73+34=281. Count=5. Mean=281/5=56.2. | mean |
734,127 | arithmetic | easy | What is 979 + 23? | 1002 | Add the two numbers: 979 + 23 = 1002. | basic_operations |
734,128 | statistics | easy | What is the mean (average) of 77, 25, 70? | 57.33 | Mean = sum/count. Sum = 77+25+70=172. Count=3. Mean=172/3=57.33. | mean |
734,129 | 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 |
734,130 | 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 |
734,131 | algebra | easy | Solve for x: 19x - 3 = 73 | 4 | Add 3 to both sides: 19x = 73+3=76. Then x = 76/19 = 4. | linear_equation |
734,132 | 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 |
734,133 | number_theory | medium | What is the GCD (greatest common divisor) of 97 and 71? | 1 | Find greatest number dividing both 97 and 71. Divisors common, greatest is 1. | gcd |
734,134 | number_theory | medium | What is the LCM (least common multiple) of 100 and 63? | 6300 | LCM = |100*63| / GCD(100,63). GCD=1, so LCM=6300/1=6300. | lcm |
734,135 | number_theory | medium | What is the LCM (least common multiple) of 88 and 68? | 1496 | LCM = |88*68| / GCD(88,68). GCD=4, so LCM=5984/4=1496. | lcm |
734,136 | number_theory | medium | What is the LCM (least common multiple) of 3 and 28? | 84 | LCM = |3*28| / GCD(3,28). GCD=1, so LCM=84/1=84. | lcm |
734,137 | 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 |
734,138 | number_theory | medium | What is the LCM (least common multiple) of 33 and 84? | 924 | LCM = |33*84| / GCD(33,84). GCD=3, so LCM=2772/3=924. | lcm |
734,139 | 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 |
734,140 | percentages | easy | What is 87% of 80? | 69.6 | Calculate 87/100 * 80 = 0.87*80 = 69.6. | percentages |
734,141 | arithmetic | easy | What is 10370 / 85? | 122 | Divide: 10370 ÷ 85 = 122 because 85*122=10370. | division |
734,142 | algebra | easy | Solve for x: 12x + 27 = 51 | 2 | Subtract 27 from both sides: 12x = 51-27=24. Then divide by 12: x = 24/12 = 2. | linear_equation |
734,143 | fractions | medium | What is 16/10 + 11/18? Give as simplified fraction. | 199/90 | Common denominator 10*18=180. 16/10=288/180, 11/18=110/180. Sum = 398/180 = 199/90 simplified. | fraction_operations |
734,144 | number_theory | medium | What is the LCM (least common multiple) of 26 and 70? | 910 | LCM = |26*70| / GCD(26,70). GCD=2, so LCM=1820/2=910. | lcm |
734,145 | word_problems | easy | If you have 87 apples and you buy 35 more apples, how many apples do you have in total? | 122 | Add initial 87 plus bought 35: 87+35=122. | addition_word |
734,146 | 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 |
734,147 | percentages | easy | What is 26% of 445? | 115.7 | Calculate 26/100 * 445 = 0.26*445 = 115.7. | percentages |
734,148 | arithmetic | easy | What is 912 - 46? | 866 | Subtract: 912 - 46 = 866. | basic_operations |
734,149 | calculus | medium | What is the derivative of 8x^4 with respect to x? | 32x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^4] = 8*4*x^3 = 32x^3. | derivative |
734,150 | arithmetic | easy | What is 978 - 201? | 777 | Subtract: 978 - 201 = 777. | basic_operations |
734,151 | word_problems | easy | If you have 88 apples and you buy 24 more apples, how many apples do you have in total? | 112 | Add initial 88 plus bought 24: 88+24=112. | addition_word |
734,152 | statistics | easy | What is the mean (average) of 73, 68, 98, 10? | 62.25 | Mean = sum/count. Sum = 73+68+98+10=249. Count=4. Mean=249/4=62.25. | mean |
734,153 | fractions | medium | What is 4/17 + 13/17? Give as simplified fraction. | 1 | Common denominator 17*17=289. 4/17=68/289, 13/17=221/289. Sum = 289/289 = 1 simplified. | fraction_operations |
734,154 | algebra | easy | Solve for x: 19x - 19 = -171 | -8 | Add 19 to both sides: 19x = -171+19=-152. Then x = -152/19 = -8. | linear_equation |
734,155 | 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 |
734,156 | arithmetic | easy | What is 69 + 31 * 80? Remember order of operations. | 2549 | Order of operations (PEMDAS): first 31*80=2480, then 69+2480=2549. | basic_operations |
734,157 | exponents | easy | What is 10^5? | 100000 | 10^5 means multiply 10 by itself 5 times: 10*10*10*10*10 = 100000. | exponents |
734,158 | arithmetic | easy | What is 24 * 10? | 240 | Multiply: 24 * 10 = 240. | basic_operations |
734,159 | exponents | easy | What is 10^2? | 100 | 10^2 means multiply 10 by itself 2 times: 10*10 = 100. | exponents |
734,160 | exponents | easy | What is 10^3? | 1000 | 10^3 means multiply 10 by itself 3 times: 10*10*10 = 1000. | exponents |
734,161 | 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 |
734,162 | algebra | easy | Solve for x: 16x + 50 = -126 | -11 | Subtract 50 from both sides: 16x = -126-50=-176. Then divide by 16: x = -176/16 = -11. | linear_equation |
734,163 | 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 |
734,164 | statistics | easy | What is the mean (average) of 74, 30, 56, 92? | 63 | Mean = sum/count. Sum = 74+30+56+92=252. Count=4. Mean=252/4=63.0. | mean |
734,165 | arithmetic | easy | What is 11 + 111 * 75? Remember order of operations. | 8336 | Order of operations (PEMDAS): first 111*75=8325, then 11+8325=8336. | basic_operations |
734,166 | roots | easy | What is the square root of 324? | 18 | Find number that when squared gives 324. 18*18=324, so sqrt(324)=18. | square_roots |
734,167 | geometry | easy | Find the circumference of a circle with radius 6. Use pi=3.14159, round to 2 decimals. | 37.7 | Circumference = 2*pi*r = 2*3.14159*6 = 37.7. | circle_circum |
734,168 | arithmetic | easy | What is 4439 / 23? | 193 | Divide: 4439 ÷ 23 = 193 because 23*193=4439. | division |
734,169 | roots | easy | What is the square root of 1369? | 37 | Find number that when squared gives 1369. 37*37=1369, so sqrt(1369)=37. | square_roots |
734,170 | statistics | easy | What is the mean (average) of 64, 8, 57, 88, 62? | 55.8 | Mean = sum/count. Sum = 64+8+57+88+62=279. Count=5. Mean=279/5=55.8. | mean |
734,171 | exponents | easy | What is 9^2? | 81 | 9^2 means multiply 9 by itself 2 times: 9*9 = 81. | exponents |
734,172 | arithmetic | easy | What is 904 + 665 * 84? Remember order of operations. | 56764 | Order of operations (PEMDAS): first 665*84=55860, then 904+55860=56764. | basic_operations |
734,173 | algebra | easy | Solve for x: 16x - 10 = 6 | 1 | Add 10 to both sides: 16x = 6+10=16. Then x = 16/16 = 1. | linear_equation |
734,174 | 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 |
734,175 | arithmetic | easy | What is 49 * 76? | 3724 | Multiply: 49 * 76 = 3724. | basic_operations |
734,176 | fractions | medium | What is 8/17 - 4/8? Give as simplified fraction. | -1/34 | Common denominator 136. Numerator 64-68=-4. So -4/136 simplifies to -1/34. | fraction_operations |
734,177 | statistics | easy | What is the mean (average) of 81, 58, 39? | 59.33 | Mean = sum/count. Sum = 81+58+39=178. Count=3. Mean=178/3=59.33. | mean |
734,178 | arithmetic | easy | What is 4876 / 53? | 92 | Divide: 4876 ÷ 53 = 92 because 53*92=4876. | division |
734,179 | algebra | medium | Solve for x: x^2 - 16 = 0 | x = 4, -4 | Factor: (x - 4)(x - -4) = x^2 -(0)x + -16 = 0. So x = 4 or -4. Check sum = 0, product = -16. | quadratic |
734,180 | 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 |
734,181 | roots | easy | What is the square root of 2116? | 46 | Find number that when squared gives 2116. 46*46=2116, so sqrt(2116)=46. | square_roots |
734,182 | arithmetic | easy | What is 12740 / 28? | 455 | Divide: 12740 ÷ 28 = 455 because 28*455=12740. | division |
734,183 | arithmetic | easy | What is 59 + 83 * 72? Remember order of operations. | 6035 | Order of operations (PEMDAS): first 83*72=5976, then 59+5976=6035. | basic_operations |
734,184 | statistics | easy | What is the mean (average) of 90, 18, 43, 41, 55? | 49.4 | Mean = sum/count. Sum = 90+18+43+41+55=247. Count=5. Mean=247/5=49.4. | mean |
734,185 | arithmetic | easy | What is 69 + 58 * 59? Remember order of operations. | 3491 | Order of operations (PEMDAS): first 58*59=3422, then 69+3422=3491. | basic_operations |
734,186 | number_theory | medium | What is the LCM (least common multiple) of 59 and 20? | 1180 | LCM = |59*20| / GCD(59,20). GCD=1, so LCM=1180/1=1180. | lcm |
734,187 | algebra | easy | Solve for x: 1x + 47 = 49 | 2 | Subtract 47 from both sides: 1x = 49-47=2. Then divide by 1: x = 2/1 = 2. | linear_equation |
734,188 | word_problems | easy | If you have 80 dollars and you buy 9 more dollars, how many dollars do you have in total? | 89 | Add initial 80 plus bought 9: 80+9=89. | addition_word |
734,189 | fractions | medium | What is 11/18 + 17/4? Give as simplified fraction. | 175/36 | Common denominator 18*4=72. 11/18=44/72, 17/4=306/72. Sum = 350/72 = 175/36 simplified. | fraction_operations |
734,190 | arithmetic | easy | What is 23010 / 59? | 390 | Divide: 23010 ÷ 59 = 390 because 59*390=23010. | division |
734,191 | percentages | easy | What is 69% of 545? | 376.05 | Calculate 69/100 * 545 = 0.69*545 = 376.05. | percentages |
734,192 | arithmetic | easy | What is 318 + 937? | 1255 | Add the two numbers: 318 + 937 = 1255. | basic_operations |
734,193 | statistics | easy | What is the mean (average) of 94, 69, 99? | 87.33 | Mean = sum/count. Sum = 94+69+99=262. Count=3. Mean=262/3=87.33. | mean |
734,194 | geometry | easy | Find the area of a circle with radius 25. Use pi=3.14159, round to 2 decimals. | 1963.5 | Area = pi*r^2 = 3.14159*25^2 = 3.14159*625 = 1963.5. | circle_area |
734,195 | arithmetic | easy | What is 569 - 289? | 280 | Subtract: 569 - 289 = 280. | basic_operations |
734,196 | arithmetic | easy | What is 42 * 28? | 1176 | Multiply: 42 * 28 = 1176. | basic_operations |
734,197 | arithmetic | easy | What is 249 - 145? | 104 | Subtract: 249 - 145 = 104. | basic_operations |
734,198 | algebra | easy | Solve for x: 5x + 39 = 49 | 2 | Subtract 39 from both sides: 5x = 49-39=10. Then divide by 5: x = 10/5 = 2. | linear_equation |
734,199 | percentages | easy | What is 97% of 624? | 605.28 | Calculate 97/100 * 624 = 0.97*624 = 605.28. | percentages |
734,200 | 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 |
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