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 |
|---|---|---|---|---|---|---|
1,101 | 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 |
1,102 | 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 |
1,103 | percentages | easy | What is 36% of 408? | 146.88 | Calculate 36/100 * 408 = 0.36*408 = 146.88. | percentages |
1,104 | 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 |
1,105 | word_problems | easy | If you have 22 candies and you buy 9 more candies, how many candies do you have in total? | 31 | Add initial 22 plus bought 9: 22+9=31. | addition_word |
1,106 | exponents | easy | What is 10^4? | 10000 | 10^4 means multiply 10 by itself 4 times: 10*10*10*10 = 10000. | exponents |
1,107 | fractions | medium | What is 7/8 * 20/11? Give as simplified fraction. | 35/22 | Multiply numerators: 7*20=140. Denominators: 8*11=88. Simplify by gcd 4 to get 35/22. | fraction_operations |
1,108 | number_theory | medium | What is the GCD (greatest common divisor) of 87 and 17? | 1 | Find greatest number dividing both 87 and 17. Divisors common, greatest is 1. | gcd |
1,109 | 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 |
1,110 | arithmetic | easy | What is 17991 divided by 99? Give answer to 2 decimal places. | 181.73 | Calculate 17991/ 99 = 181.7273, rounded to 2 decimals is 181.73. | division |
1,111 | 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 |
1,112 | exponents | easy | What is 8^2? | 64 | 8^2 means multiply 8 by itself 2 times: 8*8 = 64. | exponents |
1,113 | arithmetic | easy | What is 980 / 5? | 196 | Divide: 980 ÷ 5 = 196 because 5*196=980. | division |
1,114 | arithmetic | easy | What is 205 + 274? | 479 | Add the two numbers: 205 + 274 = 479. | basic_operations |
1,115 | geometry | easy | Find the perimeter of a rectangle with length 8 and width 89. | 194 | Perimeter = 2*(length+width) = 2*(8+89) = 2*97 = 194. | rectangle_perim |
1,116 | exponents | easy | What is 5^2? | 25 | 5^2 means multiply 5 by itself 2 times: 5*5 = 25. | exponents |
1,117 | number_theory | medium | What is the GCD (greatest common divisor) of 58 and 14? | 2 | Find greatest number dividing both 58 and 14. Divisors common, greatest is 2. | gcd |
1,118 | 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 |
1,119 | exponents | easy | What is 12^2? | 144 | 12^2 means multiply 12 by itself 2 times: 12*12 = 144. | exponents |
1,120 | calculus | medium | What is the derivative of 7x^5 with respect to x? | 35x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^5] = 7*5*x^4 = 35x^4. | derivative |
1,121 | roots | easy | What is the square root of 1296? | 36 | Find number that when squared gives 1296. 36*36=1296, so sqrt(1296)=36. | square_roots |
1,122 | arithmetic | easy | What is 14 + 762? | 776 | Add the two numbers: 14 + 762 = 776. | basic_operations |
1,123 | word_problems | easy | If you have 33 dollars and you buy 41 more dollars, how many dollars do you have in total? | 74 | Add initial 33 plus bought 41: 33+41=74. | addition_word |
1,124 | fractions | medium | What is 7/11 * 15/7? Give as simplified fraction. | 15/11 | Multiply numerators: 7*15=105. Denominators: 11*7=77. Simplify by gcd 7 to get 15/11. | fraction_operations |
1,125 | arithmetic | easy | What is 66 * 16? | 1056 | Multiply: 66 * 16 = 1056. | basic_operations |
1,126 | 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 |
1,127 | geometry | easy | Find the perimeter of a rectangle with length 21 and width 75. | 192 | Perimeter = 2*(length+width) = 2*(21+75) = 2*96 = 192. | rectangle_perim |
1,128 | geometry | easy | Find the area of a rectangle with length 43 and width 60. | 2580 | Area = length * width = 43*60 = 2580. | rectangle_area |
1,129 | algebra | easy | Solve for x: 2x - 31 = -31 | 0 | Add 31 to both sides: 2x = -31+31=0. Then x = 0/2 = 0. | linear_equation |
1,130 | arithmetic | easy | What is 85 * 39? | 3315 | Multiply: 85 * 39 = 3315. | basic_operations |
1,131 | number_theory | medium | What is the LCM (least common multiple) of 10 and 91? | 910 | LCM = |10*91| / GCD(10,91). GCD=1, so LCM=910/1=910. | lcm |
1,132 | percentages | easy | What is 24% of 534? | 128.16 | Calculate 24/100 * 534 = 0.24*534 = 128.16. | percentages |
1,133 | arithmetic | easy | What is 806 - 518? | 288 | Subtract: 806 - 518 = 288. | basic_operations |
1,134 | 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 |
1,135 | percentages | easy | What is 28% of 680? | 190.4 | Calculate 28/100 * 680 = 0.28*680 = 190.4. | percentages |
1,136 | roots | easy | What is the square root of 484? | 22 | Find number that when squared gives 484. 22*22=484, so sqrt(484)=22. | square_roots |
1,137 | number_theory | medium | What is the LCM (least common multiple) of 38 and 28? | 532 | LCM = |38*28| / GCD(38,28). GCD=2, so LCM=1064/2=532. | lcm |
1,138 | arithmetic | easy | What is 685 + 118 * 45? Remember order of operations. | 5995 | Order of operations (PEMDAS): first 118*45=5310, then 685+5310=5995. | basic_operations |
1,139 | percentages | easy | What is 6% of 699? | 41.94 | Calculate 6/100 * 699 = 0.06*699 = 41.94. | percentages |
1,140 | roots | easy | What is the square root of 625? | 25 | Find number that when squared gives 625. 25*25=625, so sqrt(625)=25. | square_roots |
1,141 | arithmetic | easy | What is 6732 / 51? | 132 | Divide: 6732 ÷ 51 = 132 because 51*132=6732. | division |
1,142 | arithmetic | easy | What is 934 - 530? | 404 | Subtract: 934 - 530 = 404. | basic_operations |
1,143 | word_problems | easy | If you have 67 dollars and you buy 3 more dollars, how many dollars do you have in total? | 70 | Add initial 67 plus bought 3: 67+3=70. | addition_word |
1,144 | fractions | medium | What is 11/18 + 3/5? Give as simplified fraction. | 109/90 | Common denominator 18*5=90. 11/18=55/90, 3/5=54/90. Sum = 109/90 = 109/90 simplified. | fraction_operations |
1,145 | arithmetic | easy | What is 81 + 100 * 27? Remember order of operations. | 2781 | Order of operations (PEMDAS): first 100*27=2700, then 81+2700=2781. | basic_operations |
1,146 | 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 |
1,147 | arithmetic | easy | What is 7755 divided by 28? Give answer to 2 decimal places. | 276.96 | Calculate 7755/ 28 = 276.9643, rounded to 2 decimals is 276.96. | division |
1,148 | arithmetic | easy | What is 765 + 703? | 1468 | Add the two numbers: 765 + 703 = 1468. | basic_operations |
1,149 | roots | easy | What is the square root of 9? | 3 | Find number that when squared gives 9. 3*3=9, so sqrt(9)=3. | square_roots |
1,150 | arithmetic | easy | What is 76 - 56? | 20 | Subtract: 76 - 56 = 20. | basic_operations |
1,151 | percentages | easy | What is 34% of 418? | 142.12 | Calculate 34/100 * 418 = 0.34*418 = 142.12. | percentages |
1,152 | calculus | medium | What is the derivative of 7x^5 with respect to x? | 35x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^5] = 7*5*x^4 = 35x^4. | derivative |
1,153 | 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 |
1,154 | arithmetic | easy | What is 1 * 83? | 83 | Multiply: 1 * 83 = 83. | basic_operations |
1,155 | arithmetic | easy | What is 775 + 764? | 1539 | Add the two numbers: 775 + 764 = 1539. | basic_operations |
1,156 | arithmetic | easy | What is 367 + 951 * 65? Remember order of operations. | 62182 | Order of operations (PEMDAS): first 951*65=61815, then 367+61815=62182. | basic_operations |
1,157 | exponents | easy | What is 11^2? | 121 | 11^2 means multiply 11 by itself 2 times: 11*11 = 121. | exponents |
1,158 | exponents | easy | What is 9^5? | 59049 | 9^5 means multiply 9 by itself 5 times: 9*9*9*9*9 = 59049. | exponents |
1,159 | calculus | medium | What is the derivative of 1x^8 with respect to x? | 8x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^8] = 1*8*x^7 = 8x^7. | derivative |
1,160 | statistics | easy | What is the mean (average) of 69, 29, 18? | 38.67 | Mean = sum/count. Sum = 69+29+18=116. Count=3. Mean=116/3=38.67. | mean |
1,161 | calculus | medium | What is the derivative of 9x^8 with respect to x? | 72x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^8] = 9*8*x^7 = 72x^7. | derivative |
1,162 | exponents | easy | What is 12^3? | 1728 | 12^3 means multiply 12 by itself 3 times: 12*12*12 = 1728. | exponents |
1,163 | exponents | easy | What is 12^4? | 20736 | 12^4 means multiply 12 by itself 4 times: 12*12*12*12 = 20736. | exponents |
1,164 | arithmetic | easy | What is 567 + 896 * 72? Remember order of operations. | 65079 | Order of operations (PEMDAS): first 896*72=64512, then 567+64512=65079. | basic_operations |
1,165 | arithmetic | easy | What is 71 * 11? | 781 | Multiply: 71 * 11 = 781. | basic_operations |
1,166 | number_theory | medium | What is the GCD (greatest common divisor) of 28 and 53? | 1 | Find greatest number dividing both 28 and 53. Divisors common, greatest is 1. | gcd |
1,167 | 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 |
1,168 | geometry | easy | Find the perimeter of a rectangle with length 15 and width 24. | 78 | Perimeter = 2*(length+width) = 2*(15+24) = 2*39 = 78. | rectangle_perim |
1,169 | arithmetic | easy | What is 872 - 770? | 102 | Subtract: 872 - 770 = 102. | basic_operations |
1,170 | arithmetic | easy | What is 688 + 298 * 9? Remember order of operations. | 3370 | Order of operations (PEMDAS): first 298*9=2682, then 688+2682=3370. | basic_operations |
1,171 | statistics | easy | What is the mean (average) of 46, 17, 86, 84? | 58.25 | Mean = sum/count. Sum = 46+17+86+84=233. Count=4. Mean=233/4=58.25. | mean |
1,172 | percentages | easy | What is 13% of 292? | 37.96 | Calculate 13/100 * 292 = 0.13*292 = 37.96. | percentages |
1,173 | arithmetic | easy | What is 922 - 199? | 723 | Subtract: 922 - 199 = 723. | basic_operations |
1,174 | exponents | easy | What is 11^3? | 1331 | 11^3 means multiply 11 by itself 3 times: 11*11*11 = 1331. | exponents |
1,175 | number_theory | medium | What is the GCD (greatest common divisor) of 41 and 55? | 1 | Find greatest number dividing both 41 and 55. Divisors common, greatest is 1. | gcd |
1,176 | arithmetic | easy | What is 95 * 83? | 7885 | Multiply: 95 * 83 = 7885. | basic_operations |
1,177 | number_theory | medium | What is the LCM (least common multiple) of 18 and 87? | 522 | LCM = |18*87| / GCD(18,87). GCD=3, so LCM=1566/3=522. | lcm |
1,178 | statistics | easy | What is the mean (average) of 58, 46, 100, 40? | 61 | Mean = sum/count. Sum = 58+46+100+40=244. Count=4. Mean=244/4=61.0. | mean |
1,179 | statistics | easy | What is the mean (average) of 14, 23, 83, 78, 11? | 41.8 | Mean = sum/count. Sum = 14+23+83+78+11=209. Count=5. Mean=209/5=41.8. | mean |
1,180 | geometry | easy | Find the perimeter of a rectangle with length 69 and width 26. | 190 | Perimeter = 2*(length+width) = 2*(69+26) = 2*95 = 190. | rectangle_perim |
1,181 | geometry | easy | Find the area of a rectangle with length 94 and width 10. | 940 | Area = length * width = 94*10 = 940. | rectangle_area |
1,182 | arithmetic | easy | What is 870 + 520? | 1390 | Add the two numbers: 870 + 520 = 1390. | basic_operations |
1,183 | 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 |
1,184 | fractions | medium | What is 2/19 * 9/19? Give as simplified fraction. | 18/361 | Multiply numerators: 2*9=18. Denominators: 19*19=361. Simplify by gcd 1 to get 18/361. | fraction_operations |
1,185 | statistics | easy | What is the mean (average) of 100, 20, 47, 51, 29? | 49.4 | Mean = sum/count. Sum = 100+20+47+51+29=247. Count=5. Mean=247/5=49.4. | mean |
1,186 | exponents | easy | What is 4^5? | 1024 | 4^5 means multiply 4 by itself 5 times: 4*4*4*4*4 = 1024. | exponents |
1,187 | arithmetic | easy | What is 407 + 373? | 780 | Add the two numbers: 407 + 373 = 780. | basic_operations |
1,188 | algebra | medium | Solve for x: x^2 - 36 = 0 | x = 6, -6 | Factor: (x - 6)(x - -6) = x^2 -(0)x + -36 = 0. So x = 6 or -6. Check sum = 0, product = -36. | quadratic |
1,189 | word_problems | easy | If you have 25 pencils and you buy 12 more pencils, how many pencils do you have in total? | 37 | Add initial 25 plus bought 12: 25+12=37. | addition_word |
1,190 | algebra | easy | Solve for x: 16x - 5 = -293 | -18 | Add 5 to both sides: 16x = -293+5=-288. Then x = -288/16 = -18. | linear_equation |
1,191 | percentages | easy | What is 98% of 500? | 490 | Calculate 98/100 * 500 = 0.98*500 = 490. | percentages |
1,192 | percentages | easy | What is 9% of 271? | 24.39 | Calculate 9/100 * 271 = 0.09*271 = 24.39. | percentages |
1,193 | number_theory | medium | What is the GCD (greatest common divisor) of 30 and 6? | 6 | Find greatest number dividing both 30 and 6. Divisors common, greatest is 6. | gcd |
1,194 | number_theory | medium | What is the LCM (least common multiple) of 50 and 61? | 3050 | LCM = |50*61| / GCD(50,61). GCD=1, so LCM=3050/1=3050. | lcm |
1,195 | arithmetic | easy | What is 41 + 665? | 706 | Add the two numbers: 41 + 665 = 706. | basic_operations |
1,196 | geometry | easy | Find the area of a circle with radius 38. Use pi=3.14159, round to 2 decimals. | 4536.46 | Area = pi*r^2 = 3.14159*38^2 = 3.14159*1444 = 4536.46. | circle_area |
1,197 | 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 |
1,198 | 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 |
1,199 | arithmetic | easy | What is 530 + 258? | 788 | Add the two numbers: 530 + 258 = 788. | basic_operations |
1,200 | number_theory | medium | What is the LCM (least common multiple) of 45 and 63? | 315 | LCM = |45*63| / GCD(45,63). GCD=9, so LCM=2835/9=315. | lcm |
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