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 |
|---|---|---|---|---|---|---|
5,101 | arithmetic | easy | What is 7 * 9? | 63 | Multiply: 7 * 9 = 63. | basic_operations |
5,102 | percentages | easy | What is 91% of 921? | 838.11 | Calculate 91/100 * 921 = 0.91*921 = 838.11. | percentages |
5,103 | roots | easy | What is the square root of 729? | 27 | Find number that when squared gives 729. 27*27=729, so sqrt(729)=27. | square_roots |
5,104 | geometry | easy | Find the area of a rectangle with length 59 and width 22. | 1298 | Area = length * width = 59*22 = 1298. | rectangle_area |
5,105 | fractions | medium | What is 5/10 * 16/7? Give as simplified fraction. | 8/7 | Multiply numerators: 5*16=80. Denominators: 10*7=70. Simplify by gcd 10 to get 8/7. | fraction_operations |
5,106 | algebra | medium | Solve for x: x^2 - 16x + 63 = 0 | x = 7, 9 | Factor: (x - 7)(x - 9) = x^2 -(16)x + 63 = 0. So x = 7 or 9. Check sum = 16, product = 63. | quadratic |
5,107 | 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 |
5,108 | geometry | easy | Find the area of a rectangle with length 8 and width 12. | 96 | Area = length * width = 8*12 = 96. | rectangle_area |
5,109 | statistics | easy | What is the mean (average) of 84, 67, 24, 21, 89? | 57 | Mean = sum/count. Sum = 84+67+24+21+89=285. Count=5. Mean=285/5=57.0. | mean |
5,110 | 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 |
5,111 | arithmetic | easy | What is 430 - 140? | 290 | Subtract: 430 - 140 = 290. | basic_operations |
5,112 | number_theory | medium | What is the GCD (greatest common divisor) of 1 and 62? | 1 | Find greatest number dividing both 1 and 62. Divisors common, greatest is 1. | gcd |
5,113 | arithmetic | easy | What is 90 * 97? | 8730 | Multiply: 90 * 97 = 8730. | basic_operations |
5,114 | arithmetic | easy | What is 119 + 589? | 708 | Add the two numbers: 119 + 589 = 708. | basic_operations |
5,115 | word_problems | easy | If you have 18 apples and you buy 43 more apples, how many apples do you have in total? | 61 | Add initial 18 plus bought 43: 18+43=61. | addition_word |
5,116 | roots | easy | What is the square root of 144? | 12 | Find number that when squared gives 144. 12*12=144, so sqrt(144)=12. | square_roots |
5,117 | 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 |
5,118 | arithmetic | easy | What is 762 + 372 * 30? Remember order of operations. | 11922 | Order of operations (PEMDAS): first 372*30=11160, then 762+11160=11922. | basic_operations |
5,119 | algebra | easy | Solve for x: 7x - 45 = -171 | -18 | Add 45 to both sides: 7x = -171+45=-126. Then x = -126/7 = -18. | linear_equation |
5,120 | word_problems | easy | If you have 14 pencils and you buy 28 more pencils, how many pencils do you have in total? | 42 | Add initial 14 plus bought 28: 14+28=42. | addition_word |
5,121 | 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 |
5,122 | arithmetic | easy | What is 980 - 5? | 975 | Subtract: 980 - 5 = 975. | basic_operations |
5,123 | arithmetic | easy | What is 899 - 517? | 382 | Subtract: 899 - 517 = 382. | basic_operations |
5,124 | roots | easy | What is the square root of 2025? | 45 | Find number that when squared gives 2025. 45*45=2025, so sqrt(2025)=45. | square_roots |
5,125 | exponents | easy | What is 5^3? | 125 | 5^3 means multiply 5 by itself 3 times: 5*5*5 = 125. | exponents |
5,126 | word_problems | easy | If you have 57 pencils and you buy 38 more pencils, how many pencils do you have in total? | 95 | Add initial 57 plus bought 38: 57+38=95. | addition_word |
5,127 | fractions | medium | What is 14/13 - 5/10? Give as simplified fraction. | 15/26 | Common denominator 130. Numerator 140-65=75. So 75/130 simplifies to 15/26. | fraction_operations |
5,128 | statistics | easy | What is the mean (average) of 53, 94, 12? | 53 | Mean = sum/count. Sum = 53+94+12=159. Count=3. Mean=159/3=53.0. | mean |
5,129 | algebra | easy | Solve for x: 16x - 25 = -41 | -1 | Add 25 to both sides: 16x = -41+25=-16. Then x = -16/16 = -1. | linear_equation |
5,130 | arithmetic | easy | What is 100 + 10 * 99? Remember order of operations. | 1090 | Order of operations (PEMDAS): first 10*99=990, then 100+990=1090. | basic_operations |
5,131 | 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 |
5,132 | algebra | easy | Solve for x: 12x + 49 = 229 | 15 | Subtract 49 from both sides: 12x = 229-49=180. Then divide by 12: x = 180/12 = 15. | linear_equation |
5,133 | calculus | medium | What is the derivative of 3x^3 with respect to x? | 9x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^3] = 3*3*x^2 = 9x^2. | derivative |
5,134 | arithmetic | easy | What is 480 + 914? | 1394 | Add the two numbers: 480 + 914 = 1394. | basic_operations |
5,135 | number_theory | medium | What is the GCD (greatest common divisor) of 57 and 33? | 3 | Find greatest number dividing both 57 and 33. Divisors common, greatest is 3. | gcd |
5,136 | 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 |
5,137 | 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 |
5,138 | arithmetic | easy | What is 56 * 5? | 280 | Multiply: 56 * 5 = 280. | basic_operations |
5,139 | word_problems | easy | If you have 29 pencils and you buy 38 more pencils, how many pencils do you have in total? | 67 | Add initial 29 plus bought 38: 29+38=67. | addition_word |
5,140 | percentages | easy | What is 92% of 258? | 237.36 | Calculate 92/100 * 258 = 0.92*258 = 237.36. | percentages |
5,141 | exponents | easy | What is 10^3? | 1000 | 10^3 means multiply 10 by itself 3 times: 10*10*10 = 1000. | exponents |
5,142 | exponents | easy | What is 4^4? | 256 | 4^4 means multiply 4 by itself 4 times: 4*4*4*4 = 256. | exponents |
5,143 | percentages | easy | What is 49% of 944? | 462.56 | Calculate 49/100 * 944 = 0.49*944 = 462.56. | percentages |
5,144 | exponents | easy | What is 8^3? | 512 | 8^3 means multiply 8 by itself 3 times: 8*8*8 = 512. | exponents |
5,145 | arithmetic | easy | What is 343 - 339? | 4 | Subtract: 343 - 339 = 4. | basic_operations |
5,146 | geometry | easy | Find the area of a rectangle with length 51 and width 47. | 2397 | Area = length * width = 51*47 = 2397. | rectangle_area |
5,147 | word_problems | easy | If you have 84 dollars and you buy 22 more dollars, how many dollars do you have in total? | 106 | Add initial 84 plus bought 22: 84+22=106. | addition_word |
5,148 | arithmetic | easy | What is 373 + 984 * 51? Remember order of operations. | 50557 | Order of operations (PEMDAS): first 984*51=50184, then 373+50184=50557. | basic_operations |
5,149 | algebra | medium | Solve for x: x^2 + 1x - 90 = 0 | x = -10, 9 | Factor: (x - -10)(x - 9) = x^2 -(-1)x + -90 = 0. So x = -10 or 9. Check sum = -1, product = -90. | quadratic |
5,150 | arithmetic | easy | What is 960 + 554 * 43? Remember order of operations. | 24782 | Order of operations (PEMDAS): first 554*43=23822, then 960+23822=24782. | basic_operations |
5,151 | statistics | easy | What is the mean (average) of 90, 40, 94, 4, 86? | 62.8 | Mean = sum/count. Sum = 90+40+94+4+86=314. Count=5. Mean=314/5=62.8. | mean |
5,152 | arithmetic | easy | What is 1612 / 31? | 52 | Divide: 1612 ÷ 31 = 52 because 31*52=1612. | division |
5,153 | word_problems | easy | If you have 69 apples and you buy 25 more apples, how many apples do you have in total? | 94 | Add initial 69 plus bought 25: 69+25=94. | addition_word |
5,154 | arithmetic | easy | What is 57 * 88? | 5016 | Multiply: 57 * 88 = 5016. | basic_operations |
5,155 | algebra | medium | Solve for x: x^2 - 5x - 50 = 0 | x = -5, 10 | Factor: (x - -5)(x - 10) = x^2 -(5)x + -50 = 0. So x = -5 or 10. Check sum = 5, product = -50. | quadratic |
5,156 | arithmetic | easy | What is 735 - 416? | 319 | Subtract: 735 - 416 = 319. | basic_operations |
5,157 | 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 |
5,158 | arithmetic | easy | What is 699 + 182? | 881 | Add the two numbers: 699 + 182 = 881. | basic_operations |
5,159 | algebra | medium | Solve for x: x^2 - 4x = 0 | x = 4, 0 | Factor: (x - 4)(x - 0) = x^2 -(4)x + 0 = 0. So x = 4 or 0. Check sum = 4, product = 0. | quadratic |
5,160 | number_theory | medium | What is the GCD (greatest common divisor) of 8 and 2? | 2 | Find greatest number dividing both 8 and 2. Divisors common, greatest is 2. | gcd |
5,161 | 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 |
5,162 | arithmetic | easy | What is 328 + 81 * 15? Remember order of operations. | 1543 | Order of operations (PEMDAS): first 81*15=1215, then 328+1215=1543. | basic_operations |
5,163 | algebra | medium | Solve for x: x^2 - 11x + 10 = 0 | x = 1, 10 | Factor: (x - 1)(x - 10) = x^2 -(11)x + 10 = 0. So x = 1 or 10. Check sum = 11, product = 10. | quadratic |
5,164 | geometry | easy | Find the circumference of a circle with radius 41. Use pi=3.14159, round to 2 decimals. | 257.61 | Circumference = 2*pi*r = 2*3.14159*41 = 257.61. | circle_circum |
5,165 | 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 |
5,166 | word_problems | easy | If you have 41 candies and you buy 3 more candies, how many candies do you have in total? | 44 | Add initial 41 plus bought 3: 41+3=44. | addition_word |
5,167 | arithmetic | easy | What is 22473 / 99? | 227 | Divide: 22473 ÷ 99 = 227 because 99*227=22473. | division |
5,168 | algebra | easy | Solve for x: 15x + 26 = 251 | 15 | Subtract 26 from both sides: 15x = 251-26=225. Then divide by 15: x = 225/15 = 15. | linear_equation |
5,169 | arithmetic | easy | What is 76 * 87? | 6612 | Multiply: 76 * 87 = 6612. | basic_operations |
5,170 | arithmetic | easy | What is 936 + 237 * 86? Remember order of operations. | 21318 | Order of operations (PEMDAS): first 237*86=20382, then 936+20382=21318. | basic_operations |
5,171 | 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 |
5,172 | fractions | medium | What is 10/2 + 7/20? Give as simplified fraction. | 107/20 | Common denominator 2*20=40. 10/2=200/40, 7/20=14/40. Sum = 214/40 = 107/20 simplified. | fraction_operations |
5,173 | arithmetic | easy | What is 285 + 357? | 642 | Add the two numbers: 285 + 357 = 642. | basic_operations |
5,174 | 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 |
5,175 | exponents | easy | What is 3^2? | 9 | 3^2 means multiply 3 by itself 2 times: 3*3 = 9. | exponents |
5,176 | exponents | easy | What is 12^2? | 144 | 12^2 means multiply 12 by itself 2 times: 12*12 = 144. | exponents |
5,177 | percentages | easy | What is 84% of 345? | 289.8 | Calculate 84/100 * 345 = 0.84*345 = 289.8. | percentages |
5,178 | algebra | medium | Solve for x: x^2 - 8x + 7 = 0 | x = 7, 1 | Factor: (x - 7)(x - 1) = x^2 -(8)x + 7 = 0. So x = 7 or 1. Check sum = 8, product = 7. | quadratic |
5,179 | number_theory | medium | What is the GCD (greatest common divisor) of 98 and 97? | 1 | Find greatest number dividing both 98 and 97. Divisors common, greatest is 1. | gcd |
5,180 | number_theory | medium | What is the LCM (least common multiple) of 88 and 73? | 6424 | LCM = |88*73| / GCD(88,73). GCD=1, so LCM=6424/1=6424. | lcm |
5,181 | algebra | easy | Solve for x: 2x - 4 = 4 | 4 | Add 4 to both sides: 2x = 4+4=8. Then x = 8/2 = 4. | linear_equation |
5,182 | arithmetic | easy | What is 61 - 35? | 26 | Subtract: 61 - 35 = 26. | basic_operations |
5,183 | arithmetic | easy | What is 55 + 71 * 51? Remember order of operations. | 3676 | Order of operations (PEMDAS): first 71*51=3621, then 55+3621=3676. | basic_operations |
5,184 | calculus | medium | What is the derivative of 8x^7 with respect to x? | 56x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^7] = 8*7*x^6 = 56x^6. | derivative |
5,185 | statistics | easy | What is the mean (average) of 6, 100, 90, 31? | 56.75 | Mean = sum/count. Sum = 6+100+90+31=227. Count=4. Mean=227/4=56.75. | mean |
5,186 | statistics | easy | What is the mean (average) of 35, 89, 88, 17, 92? | 64.2 | Mean = sum/count. Sum = 35+89+88+17+92=321. Count=5. Mean=321/5=64.2. | mean |
5,187 | fractions | medium | What is 7/20 * 10/11? Give as simplified fraction. | 7/22 | Multiply numerators: 7*10=70. Denominators: 20*11=220. Simplify by gcd 10 to get 7/22. | fraction_operations |
5,188 | number_theory | medium | What is the GCD (greatest common divisor) of 29 and 3? | 1 | Find greatest number dividing both 29 and 3. Divisors common, greatest is 1. | gcd |
5,189 | calculus | medium | What is the derivative of 8x^5 with respect to x? | 40x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^5] = 8*5*x^4 = 40x^4. | derivative |
5,190 | 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 |
5,191 | 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 |
5,192 | arithmetic | easy | What is 224 - 165? | 59 | Subtract: 224 - 165 = 59. | basic_operations |
5,193 | arithmetic | easy | What is 506 + 218 * 49? Remember order of operations. | 11188 | Order of operations (PEMDAS): first 218*49=10682, then 506+10682=11188. | basic_operations |
5,194 | calculus | medium | What is the derivative of 5x^3 with respect to x? | 15x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^3] = 5*3*x^2 = 15x^2. | derivative |
5,195 | arithmetic | easy | What is 16560 / 60? | 276 | Divide: 16560 ÷ 60 = 276 because 60*276=16560. | division |
5,196 | arithmetic | easy | What is 90 + 100 * 85? Remember order of operations. | 8590 | Order of operations (PEMDAS): first 100*85=8500, then 90+8500=8590. | basic_operations |
5,197 | percentages | easy | What is 40% of 339? | 135.6 | Calculate 40/100 * 339 = 0.4*339 = 135.6. | percentages |
5,198 | arithmetic | easy | What is 80 / 10? | 8 | Divide: 80 ÷ 10 = 8 because 10*8=80. | division |
5,199 | 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 |
5,200 | arithmetic | easy | What is 98 * 70? | 6860 | Multiply: 98 * 70 = 6860. | basic_operations |
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