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 |
|---|---|---|---|---|---|---|
10,101 | algebra | easy | Solve for x: 11x + 37 = 81 | 4 | Subtract 37 from both sides: 11x = 81-37=44. Then divide by 11: x = 44/11 = 4. | linear_equation |
10,102 | arithmetic | easy | What is 96 * 75? | 7200 | Multiply: 96 * 75 = 7200. | basic_operations |
10,103 | 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 |
10,104 | geometry | easy | Find the circumference of a circle with radius 39. Use pi=3.14159, round to 2 decimals. | 245.04 | Circumference = 2*pi*r = 2*3.14159*39 = 245.04. | circle_circum |
10,105 | exponents | easy | What is 12^5? | 248832 | 12^5 means multiply 12 by itself 5 times: 12*12*12*12*12 = 248832. | exponents |
10,106 | 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 |
10,107 | algebra | medium | Solve for x: x^2 - 4x - 32 = 0 | x = 8, -4 | Factor: (x - 8)(x - -4) = x^2 -(4)x + -32 = 0. So x = 8 or -4. Check sum = 4, product = -32. | quadratic |
10,108 | 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 |
10,109 | exponents | easy | What is 4^5? | 1024 | 4^5 means multiply 4 by itself 5 times: 4*4*4*4*4 = 1024. | exponents |
10,110 | number_theory | medium | What is the LCM (least common multiple) of 15 and 63? | 315 | LCM = |15*63| / GCD(15,63). GCD=3, so LCM=945/3=315. | lcm |
10,111 | fractions | medium | What is 14/17 + 19/3? Give as simplified fraction. | 365/51 | Common denominator 17*3=51. 14/17=42/51, 19/3=323/51. Sum = 365/51 = 365/51 simplified. | fraction_operations |
10,112 | arithmetic | easy | What is 135 + 671? | 806 | Add the two numbers: 135 + 671 = 806. | basic_operations |
10,113 | arithmetic | easy | What is 806 - 696? | 110 | Subtract: 806 - 696 = 110. | basic_operations |
10,114 | algebra | easy | Solve for x: 1x - 26 = -12 | 14 | Add 26 to both sides: 1x = -12+26=14. Then x = 14/1 = 14. | linear_equation |
10,115 | word_problems | easy | If you have 25 books and you buy 7 more books, how many books do you have in total? | 32 | Add initial 25 plus bought 7: 25+7=32. | addition_word |
10,116 | arithmetic | easy | What is 15696 / 48? | 327 | Divide: 15696 ÷ 48 = 327 because 48*327=15696. | division |
10,117 | geometry | easy | Find the area of a circle with radius 47. Use pi=3.14159, round to 2 decimals. | 6939.78 | Area = pi*r^2 = 3.14159*47^2 = 3.14159*2209 = 6939.78. | circle_area |
10,118 | 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 |
10,119 | geometry | easy | Find the circumference of a circle with radius 45. Use pi=3.14159, round to 2 decimals. | 282.74 | Circumference = 2*pi*r = 2*3.14159*45 = 282.74. | circle_circum |
10,120 | algebra | medium | Solve for x: x^2 + 15x + 54 = 0 | x = -6, -9 | Factor: (x - -6)(x - -9) = x^2 -(-15)x + 54 = 0. So x = -6 or -9. Check sum = -15, product = 54. | quadratic |
10,121 | arithmetic | easy | What is 9024 divided by 52? Give answer to 2 decimal places. | 173.54 | Calculate 9024/ 52 = 173.5385, rounded to 2 decimals is 173.54. | division |
10,122 | fractions | medium | What is 8/8 * 12/3? Give as simplified fraction. | 4 | Multiply numerators: 8*12=96. Denominators: 8*3=24. Simplify by gcd 24 to get 4. | fraction_operations |
10,123 | algebra | easy | Solve for x: 10x - 26 = -146 | -12 | Add 26 to both sides: 10x = -146+26=-120. Then x = -120/10 = -12. | linear_equation |
10,124 | calculus | medium | What is the derivative of 6x^3 with respect to x? | 18x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^3] = 6*3*x^2 = 18x^2. | derivative |
10,125 | percentages | easy | What is 87% of 552? | 480.24 | Calculate 87/100 * 552 = 0.87*552 = 480.24. | percentages |
10,126 | arithmetic | easy | What is 978 + 284 * 2? Remember order of operations. | 1546 | Order of operations (PEMDAS): first 284*2=568, then 978+568=1546. | basic_operations |
10,127 | statistics | easy | What is the mean (average) of 41, 77, 97, 68? | 70.75 | Mean = sum/count. Sum = 41+77+97+68=283. Count=4. Mean=283/4=70.75. | mean |
10,128 | exponents | easy | What is 3^4? | 81 | 3^4 means multiply 3 by itself 4 times: 3*3*3*3 = 81. | exponents |
10,129 | algebra | medium | Solve for x: x^2 + 15x + 54 = 0 | x = -9, -6 | Factor: (x - -9)(x - -6) = x^2 -(-15)x + 54 = 0. So x = -9 or -6. Check sum = -15, product = 54. | quadratic |
10,130 | exponents | easy | What is 10^4? | 10000 | 10^4 means multiply 10 by itself 4 times: 10*10*10*10 = 10000. | exponents |
10,131 | fractions | medium | What is 12/3 - 16/10? Give as simplified fraction. | 12/5 | Common denominator 30. Numerator 120-48=72. So 72/30 simplifies to 12/5. | fraction_operations |
10,132 | arithmetic | easy | What is 28 * 95? | 2660 | Multiply: 28 * 95 = 2660. | basic_operations |
10,133 | algebra | medium | Solve for x: x^2 + 3x - 54 = 0 | x = 6, -9 | Factor: (x - 6)(x - -9) = x^2 -(-3)x + -54 = 0. So x = 6 or -9. Check sum = -3, product = -54. | quadratic |
10,134 | word_problems | easy | If you have 8 dollars and you buy 9 more dollars, how many dollars do you have in total? | 17 | Add initial 8 plus bought 9: 8+9=17. | addition_word |
10,135 | geometry | easy | Find the area of a rectangle with length 39 and width 26. | 1014 | Area = length * width = 39*26 = 1014. | rectangle_area |
10,136 | arithmetic | easy | What is 25 + 930? | 955 | Add the two numbers: 25 + 930 = 955. | basic_operations |
10,137 | arithmetic | easy | What is 24882 / 87? | 286 | Divide: 24882 ÷ 87 = 286 because 87*286=24882. | division |
10,138 | 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 |
10,139 | percentages | easy | What is 17% of 775? | 131.75 | Calculate 17/100 * 775 = 0.17*775 = 131.75. | percentages |
10,140 | statistics | easy | What is the mean (average) of 81, 83, 29, 63? | 64 | Mean = sum/count. Sum = 81+83+29+63=256. Count=4. Mean=256/4=64.0. | mean |
10,141 | 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 |
10,142 | 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 |
10,143 | word_problems | easy | If you have 55 candies and you buy 5 more candies, how many candies do you have in total? | 60 | Add initial 55 plus bought 5: 55+5=60. | addition_word |
10,144 | algebra | easy | Solve for x: 15x - 5 = 145 | 10 | Add 5 to both sides: 15x = 145+5=150. Then x = 150/15 = 10. | linear_equation |
10,145 | percentages | easy | What is 44% of 329? | 144.76 | Calculate 44/100 * 329 = 0.44*329 = 144.76. | percentages |
10,146 | exponents | easy | What is 10^2? | 100 | 10^2 means multiply 10 by itself 2 times: 10*10 = 100. | exponents |
10,147 | exponents | easy | What is 9^2? | 81 | 9^2 means multiply 9 by itself 2 times: 9*9 = 81. | exponents |
10,148 | algebra | medium | Solve for x: x^2 - 5x + 6 = 0 | x = 2, 3 | Factor: (x - 2)(x - 3) = x^2 -(5)x + 6 = 0. So x = 2 or 3. Check sum = 5, product = 6. | quadratic |
10,149 | 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 |
10,150 | 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 |
10,151 | percentages | easy | What is 75% of 223? | 167.25 | Calculate 75/100 * 223 = 0.75*223 = 167.25. | percentages |
10,152 | algebra | easy | Solve for x: 20x - 16 = -196 | -9 | Add 16 to both sides: 20x = -196+16=-180. Then x = -180/20 = -9. | linear_equation |
10,153 | word_problems | easy | If you have 95 books and you buy 4 more books, how many books do you have in total? | 99 | Add initial 95 plus bought 4: 95+4=99. | addition_word |
10,154 | arithmetic | easy | What is 355 + 61 * 83? Remember order of operations. | 5418 | Order of operations (PEMDAS): first 61*83=5063, then 355+5063=5418. | basic_operations |
10,155 | geometry | easy | Find the perimeter of a rectangle with length 82 and width 32. | 228 | Perimeter = 2*(length+width) = 2*(82+32) = 2*114 = 228. | rectangle_perim |
10,156 | arithmetic | easy | What is 95 * 70? | 6650 | Multiply: 95 * 70 = 6650. | basic_operations |
10,157 | 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 |
10,158 | algebra | medium | Solve for x: x^2 - 3x - 4 = 0 | x = -1, 4 | Factor: (x - -1)(x - 4) = x^2 -(3)x + -4 = 0. So x = -1 or 4. Check sum = 3, product = -4. | quadratic |
10,159 | statistics | easy | What is the mean (average) of 28, 91, 73? | 64 | Mean = sum/count. Sum = 28+91+73=192. Count=3. Mean=192/3=64.0. | mean |
10,160 | arithmetic | easy | What is 6 * 29? | 174 | Multiply: 6 * 29 = 174. | basic_operations |
10,161 | arithmetic | easy | What is 27720 / 90? | 308 | Divide: 27720 ÷ 90 = 308 because 90*308=27720. | division |
10,162 | word_problems | easy | If you have 49 books and you buy 39 more books, how many books do you have in total? | 88 | Add initial 49 plus bought 39: 49+39=88. | addition_word |
10,163 | number_theory | medium | What is the GCD (greatest common divisor) of 41 and 60? | 1 | Find greatest number dividing both 41 and 60. Divisors common, greatest is 1. | gcd |
10,164 | exponents | easy | What is 4^2? | 16 | 4^2 means multiply 4 by itself 2 times: 4*4 = 16. | exponents |
10,165 | arithmetic | easy | What is 432 + 963? | 1395 | Add the two numbers: 432 + 963 = 1395. | basic_operations |
10,166 | arithmetic | easy | What is 949 - 854? | 95 | Subtract: 949 - 854 = 95. | basic_operations |
10,167 | roots | easy | What is the square root of 1521? | 39 | Find number that when squared gives 1521. 39*39=1521, so sqrt(1521)=39. | square_roots |
10,168 | arithmetic | easy | What is 47 - 4? | 43 | Subtract: 47 - 4 = 43. | basic_operations |
10,169 | fractions | medium | What is 13/10 - 7/14? Give as simplified fraction. | 4/5 | Common denominator 140. Numerator 182-70=112. So 112/140 simplifies to 4/5. | fraction_operations |
10,170 | exponents | easy | What is 6^3? | 216 | 6^3 means multiply 6 by itself 3 times: 6*6*6 = 216. | exponents |
10,171 | algebra | medium | Solve for x: x^2 - 11x + 24 = 0 | x = 8, 3 | Factor: (x - 8)(x - 3) = x^2 -(11)x + 24 = 0. So x = 8 or 3. Check sum = 11, product = 24. | quadratic |
10,172 | arithmetic | easy | What is 98 + 91 * 21? Remember order of operations. | 2009 | Order of operations (PEMDAS): first 91*21=1911, then 98+1911=2009. | basic_operations |
10,173 | arithmetic | easy | What is 475 + 645? | 1120 | Add the two numbers: 475 + 645 = 1120. | basic_operations |
10,174 | word_problems | easy | If you have 55 pencils and you buy 46 more pencils, how many pencils do you have in total? | 101 | Add initial 55 plus bought 46: 55+46=101. | addition_word |
10,175 | percentages | easy | What is 41% of 161? | 66.01 | Calculate 41/100 * 161 = 0.41*161 = 66.01. | percentages |
10,176 | word_problems | easy | If you have 70 pencils and you buy 4 more pencils, how many pencils do you have in total? | 74 | Add initial 70 plus bought 4: 70+4=74. | addition_word |
10,177 | word_problems | easy | If you have 74 candies and you buy 21 more candies, how many candies do you have in total? | 95 | Add initial 74 plus bought 21: 74+21=95. | addition_word |
10,178 | arithmetic | easy | What is 2781 / 9? | 309 | Divide: 2781 ÷ 9 = 309 because 9*309=2781. | division |
10,179 | number_theory | medium | What is the GCD (greatest common divisor) of 28 and 6? | 2 | Find greatest number dividing both 28 and 6. Divisors common, greatest is 2. | gcd |
10,180 | arithmetic | easy | What is 55 * 28? | 1540 | Multiply: 55 * 28 = 1540. | basic_operations |
10,181 | algebra | easy | Solve for x: 11x + 15 = 92 | 7 | Subtract 15 from both sides: 11x = 92-15=77. Then divide by 11: x = 77/11 = 7. | linear_equation |
10,182 | statistics | easy | What is the mean (average) of 43, 37, 52, 48? | 45 | Mean = sum/count. Sum = 43+37+52+48=180. Count=4. Mean=180/4=45.0. | mean |
10,183 | 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 |
10,184 | statistics | easy | What is the mean (average) of 71, 85, 40? | 65.33 | Mean = sum/count. Sum = 71+85+40=196. Count=3. Mean=196/3=65.33. | mean |
10,185 | word_problems | easy | If you have 88 books and you buy 2 more books, how many books do you have in total? | 90 | Add initial 88 plus bought 2: 88+2=90. | addition_word |
10,186 | exponents | easy | What is 6^5? | 7776 | 6^5 means multiply 6 by itself 5 times: 6*6*6*6*6 = 7776. | exponents |
10,187 | fractions | medium | What is 8/7 - 10/14? Give as simplified fraction. | 3/7 | Common denominator 98. Numerator 112-70=42. So 42/98 simplifies to 3/7. | fraction_operations |
10,188 | 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 |
10,189 | exponents | easy | What is 3^4? | 81 | 3^4 means multiply 3 by itself 4 times: 3*3*3*3 = 81. | exponents |
10,190 | exponents | easy | What is 8^3? | 512 | 8^3 means multiply 8 by itself 3 times: 8*8*8 = 512. | exponents |
10,191 | roots | easy | What is the square root of 64? | 8 | Find number that when squared gives 64. 8*8=64, so sqrt(64)=8. | square_roots |
10,192 | word_problems | easy | If you have 45 books and you buy 32 more books, how many books do you have in total? | 77 | Add initial 45 plus bought 32: 45+32=77. | addition_word |
10,193 | 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 |
10,194 | arithmetic | easy | What is 838 + 528? | 1366 | Add the two numbers: 838 + 528 = 1366. | basic_operations |
10,195 | statistics | easy | What is the mean (average) of 73, 87, 50, 46? | 64 | Mean = sum/count. Sum = 73+87+50+46=256. Count=4. Mean=256/4=64.0. | mean |
10,196 | number_theory | medium | What is the LCM (least common multiple) of 75 and 53? | 3975 | LCM = |75*53| / GCD(75,53). GCD=1, so LCM=3975/1=3975. | lcm |
10,197 | 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 |
10,198 | arithmetic | easy | What is 805 + 951? | 1756 | Add the two numbers: 805 + 951 = 1756. | basic_operations |
10,199 | word_problems | easy | If you have 100 books and you buy 21 more books, how many books do you have in total? | 121 | Add initial 100 plus bought 21: 100+21=121. | addition_word |
10,200 | algebra | medium | Solve for x: x^2 - 10x + 16 = 0 | x = 8, 2 | Factor: (x - 8)(x - 2) = x^2 -(10)x + 16 = 0. So x = 8 or 2. Check sum = 10, product = 16. | quadratic |
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