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 |
|---|---|---|---|---|---|---|
12,101 | exponents | easy | What is 3^2? | 9 | 3^2 means multiply 3 by itself 2 times: 3*3 = 9. | exponents |
12,102 | 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 |
12,103 | arithmetic | easy | What is 57 + 72 * 77? Remember order of operations. | 5601 | Order of operations (PEMDAS): first 72*77=5544, then 57+5544=5601. | basic_operations |
12,104 | 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 |
12,105 | algebra | medium | Solve for x: x^2 - 16x + 64 = 0 | x = 8 | Factor as (x - 8)^2 = 0, so root is 8 (double root). Sum of roots = 16, product = 64. | quadratic |
12,106 | percentages | easy | What is 9% of 389? | 35.01 | Calculate 9/100 * 389 = 0.09*389 = 35.01. | percentages |
12,107 | geometry | easy | Find the perimeter of a rectangle with length 16 and width 17. | 66 | Perimeter = 2*(length+width) = 2*(16+17) = 2*33 = 66. | rectangle_perim |
12,108 | algebra | easy | Solve for x: 14x - 5 = 163 | 12 | Add 5 to both sides: 14x = 163+5=168. Then x = 168/14 = 12. | linear_equation |
12,109 | number_theory | medium | What is the GCD (greatest common divisor) of 78 and 61? | 1 | Find greatest number dividing both 78 and 61. Divisors common, greatest is 1. | gcd |
12,110 | algebra | medium | Solve for x: x^2 - 5x - 6 = 0 | x = -1, 6 | Factor: (x - -1)(x - 6) = x^2 -(5)x + -6 = 0. So x = -1 or 6. Check sum = 5, product = -6. | quadratic |
12,111 | arithmetic | easy | What is 351 - 2? | 349 | Subtract: 351 - 2 = 349. | basic_operations |
12,112 | arithmetic | easy | What is 34 + 30 * 68? Remember order of operations. | 2074 | Order of operations (PEMDAS): first 30*68=2040, then 34+2040=2074. | basic_operations |
12,113 | number_theory | medium | What is the GCD (greatest common divisor) of 49 and 45? | 1 | Find greatest number dividing both 49 and 45. Divisors common, greatest is 1. | gcd |
12,114 | algebra | easy | Solve for x: 8x - 14 = -70 | -7 | Add 14 to both sides: 8x = -70+14=-56. Then x = -56/8 = -7. | linear_equation |
12,115 | geometry | easy | Find the area of a circle with radius 4. Use pi=3.14159, round to 2 decimals. | 50.27 | Area = pi*r^2 = 3.14159*4^2 = 3.14159*16 = 50.27. | circle_area |
12,116 | word_problems | easy | If you have 93 pencils and you buy 2 more pencils, how many pencils do you have in total? | 95 | Add initial 93 plus bought 2: 93+2=95. | addition_word |
12,117 | arithmetic | easy | What is 425 + 874 * 84? Remember order of operations. | 73841 | Order of operations (PEMDAS): first 874*84=73416, then 425+73416=73841. | basic_operations |
12,118 | percentages | easy | What is 76% of 337? | 256.12 | Calculate 76/100 * 337 = 0.76*337 = 256.12. | percentages |
12,119 | exponents | easy | What is 5^4? | 625 | 5^4 means multiply 5 by itself 4 times: 5*5*5*5 = 625. | exponents |
12,120 | word_problems | easy | If you have 74 dollars and you buy 48 more dollars, how many dollars do you have in total? | 122 | Add initial 74 plus bought 48: 74+48=122. | addition_word |
12,121 | roots | easy | What is the square root of 1600? | 40 | Find number that when squared gives 1600. 40*40=1600, so sqrt(1600)=40. | square_roots |
12,122 | arithmetic | easy | What is 94 + 16 * 27? Remember order of operations. | 526 | Order of operations (PEMDAS): first 16*27=432, then 94+432=526. | basic_operations |
12,123 | algebra | medium | Solve for x: x^2 - 2x - 80 = 0 | x = -8, 10 | Factor: (x - -8)(x - 10) = x^2 -(2)x + -80 = 0. So x = -8 or 10. Check sum = 2, product = -80. | quadratic |
12,124 | arithmetic | easy | What is 1034 / 11? | 94 | Divide: 1034 ÷ 11 = 94 because 11*94=1034. | division |
12,125 | algebra | easy | Solve for x: 4x + 34 = 82 | 12 | Subtract 34 from both sides: 4x = 82-34=48. Then divide by 4: x = 48/4 = 12. | linear_equation |
12,126 | arithmetic | easy | What is 328 - 263? | 65 | Subtract: 328 - 263 = 65. | basic_operations |
12,127 | fractions | medium | What is 15/16 + 2/17? Give as simplified fraction. | 287/272 | Common denominator 16*17=272. 15/16=255/272, 2/17=32/272. Sum = 287/272 = 287/272 simplified. | fraction_operations |
12,128 | number_theory | medium | What is the GCD (greatest common divisor) of 4 and 57? | 1 | Find greatest number dividing both 4 and 57. Divisors common, greatest is 1. | gcd |
12,129 | number_theory | medium | What is the GCD (greatest common divisor) of 83 and 93? | 1 | Find greatest number dividing both 83 and 93. Divisors common, greatest is 1. | gcd |
12,130 | calculus | medium | What is the derivative of 7x^3 with respect to x? | 21x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^3] = 7*3*x^2 = 21x^2. | derivative |
12,131 | fractions | medium | What is 6/16 - 13/7? Give as simplified fraction. | -83/56 | Common denominator 112. Numerator 42-208=-166. So -166/112 simplifies to -83/56. | fraction_operations |
12,132 | fractions | medium | What is 5/15 + 11/16? Give as simplified fraction. | 49/48 | Common denominator 15*16=240. 5/15=80/240, 11/16=165/240. Sum = 245/240 = 49/48 simplified. | fraction_operations |
12,133 | arithmetic | easy | What is 68 + 7 * 64? Remember order of operations. | 516 | Order of operations (PEMDAS): first 7*64=448, then 68+448=516. | basic_operations |
12,134 | statistics | easy | What is the mean (average) of 62, 66, 80? | 69.33 | Mean = sum/count. Sum = 62+66+80=208. Count=3. Mean=208/3=69.33. | mean |
12,135 | percentages | easy | What is 57% of 619? | 352.83 | Calculate 57/100 * 619 = 0.57*619 = 352.83. | percentages |
12,136 | statistics | easy | What is the mean (average) of 85, 43, 21, 90? | 59.75 | Mean = sum/count. Sum = 85+43+21+90=239. Count=4. Mean=239/4=59.75. | mean |
12,137 | fractions | medium | What is 20/20 + 20/15? Give as simplified fraction. | 7/3 | Common denominator 20*15=300. 20/20=300/300, 20/15=400/300. Sum = 700/300 = 7/3 simplified. | fraction_operations |
12,138 | calculus | medium | What is the derivative of 2x^6 with respect to x? | 12x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^6] = 2*6*x^5 = 12x^5. | derivative |
12,139 | exponents | easy | What is 7^4? | 2401 | 7^4 means multiply 7 by itself 4 times: 7*7*7*7 = 2401. | exponents |
12,140 | geometry | easy | Find the area of a rectangle with length 87 and width 76. | 6612 | Area = length * width = 87*76 = 6612. | rectangle_area |
12,141 | percentages | easy | What is 65% of 937? | 609.05 | Calculate 65/100 * 937 = 0.65*937 = 609.05. | percentages |
12,142 | number_theory | medium | What is the GCD (greatest common divisor) of 58 and 92? | 2 | Find greatest number dividing both 58 and 92. Divisors common, greatest is 2. | gcd |
12,143 | algebra | medium | Solve for x: x^2 + 4x - 12 = 0 | x = 2, -6 | Factor: (x - 2)(x - -6) = x^2 -(-4)x + -12 = 0. So x = 2 or -6. Check sum = -4, product = -12. | quadratic |
12,144 | arithmetic | easy | What is 104 + 430? | 534 | Add the two numbers: 104 + 430 = 534. | basic_operations |
12,145 | roots | easy | What is the square root of 121? | 11 | Find number that when squared gives 121. 11*11=121, so sqrt(121)=11. | square_roots |
12,146 | statistics | easy | What is the mean (average) of 58, 70, 95, 64? | 71.75 | Mean = sum/count. Sum = 58+70+95+64=287. Count=4. Mean=287/4=71.75. | mean |
12,147 | arithmetic | easy | What is 15840 / 48? | 330 | Divide: 15840 ÷ 48 = 330 because 48*330=15840. | division |
12,148 | fractions | medium | What is 7/4 + 15/20? Give as simplified fraction. | 5/2 | Common denominator 4*20=80. 7/4=140/80, 15/20=60/80. Sum = 200/80 = 5/2 simplified. | fraction_operations |
12,149 | arithmetic | easy | What is 39 * 64? | 2496 | Multiply: 39 * 64 = 2496. | basic_operations |
12,150 | calculus | medium | What is the derivative of 10x^2 with respect to x? | 20x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^2] = 10*2*x^1 = 20x. | derivative |
12,151 | 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 |
12,152 | arithmetic | easy | What is 11895 / 61? | 195 | Divide: 11895 ÷ 61 = 195 because 61*195=11895. | division |
12,153 | algebra | easy | Solve for x: 4x - 48 = -124 | -19 | Add 48 to both sides: 4x = -124+48=-76. Then x = -76/4 = -19. | linear_equation |
12,154 | arithmetic | easy | What is 511 - 176? | 335 | Subtract: 511 - 176 = 335. | basic_operations |
12,155 | number_theory | medium | What is the LCM (least common multiple) of 67 and 86? | 5762 | LCM = |67*86| / GCD(67,86). GCD=1, so LCM=5762/1=5762. | lcm |
12,156 | arithmetic | easy | What is 787 + 6? | 793 | Add the two numbers: 787 + 6 = 793. | basic_operations |
12,157 | roots | easy | What is the square root of 225? | 15 | Find number that when squared gives 225. 15*15=225, so sqrt(225)=15. | square_roots |
12,158 | arithmetic | easy | What is 896 + 666 * 54? Remember order of operations. | 36860 | Order of operations (PEMDAS): first 666*54=35964, then 896+35964=36860. | basic_operations |
12,159 | arithmetic | easy | What is 922 - 339? | 583 | Subtract: 922 - 339 = 583. | basic_operations |
12,160 | calculus | medium | What is the derivative of 4x^6 with respect to x? | 24x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^6] = 4*6*x^5 = 24x^5. | derivative |
12,161 | algebra | medium | Solve for x: x^2 - 11x + 28 = 0 | x = 7, 4 | Factor: (x - 7)(x - 4) = x^2 -(11)x + 28 = 0. So x = 7 or 4. Check sum = 11, product = 28. | quadratic |
12,162 | algebra | medium | Solve for x: x^2 - 4x - 5 = 0 | x = 5, -1 | Factor: (x - 5)(x - -1) = x^2 -(4)x + -5 = 0. So x = 5 or -1. Check sum = 4, product = -5. | quadratic |
12,163 | 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 |
12,164 | algebra | medium | Solve for x: x^2 - 8x + 12 = 0 | x = 2, 6 | Factor: (x - 2)(x - 6) = x^2 -(8)x + 12 = 0. So x = 2 or 6. Check sum = 8, product = 12. | quadratic |
12,165 | statistics | easy | What is the mean (average) of 25, 12, 10, 96? | 35.75 | Mean = sum/count. Sum = 25+12+10+96=143. Count=4. Mean=143/4=35.75. | mean |
12,166 | number_theory | medium | What is the LCM (least common multiple) of 21 and 86? | 1806 | LCM = |21*86| / GCD(21,86). GCD=1, so LCM=1806/1=1806. | lcm |
12,167 | fractions | medium | What is 18/17 - 5/2? Give as simplified fraction. | -49/34 | Common denominator 34. Numerator 36-85=-49. So -49/34 simplifies to -49/34. | fraction_operations |
12,168 | roots | easy | What is the square root of 841? | 29 | Find number that when squared gives 841. 29*29=841, so sqrt(841)=29. | square_roots |
12,169 | fractions | medium | What is 4/11 * 10/10? Give as simplified fraction. | 4/11 | Multiply numerators: 4*10=40. Denominators: 11*10=110. Simplify by gcd 10 to get 4/11. | fraction_operations |
12,170 | geometry | easy | Find the area of a rectangle with length 76 and width 91. | 6916 | Area = length * width = 76*91 = 6916. | rectangle_area |
12,171 | calculus | medium | What is the derivative of 5x^7 with respect to x? | 35x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^7] = 5*7*x^6 = 35x^6. | derivative |
12,172 | 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 |
12,173 | 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 |
12,174 | fractions | medium | What is 18/10 * 1/20? Give as simplified fraction. | 9/100 | Multiply numerators: 18*1=18. Denominators: 10*20=200. Simplify by gcd 2 to get 9/100. | fraction_operations |
12,175 | algebra | easy | Solve for x: 16x + 7 = -249 | -16 | Subtract 7 from both sides: 16x = -249-7=-256. Then divide by 16: x = -256/16 = -16. | linear_equation |
12,176 | number_theory | medium | What is the LCM (least common multiple) of 58 and 30? | 870 | LCM = |58*30| / GCD(58,30). GCD=2, so LCM=1740/2=870. | lcm |
12,177 | roots | easy | What is the square root of 1? | 1 | Find number that when squared gives 1. 1*1=1, so sqrt(1)=1. | square_roots |
12,178 | word_problems | easy | If you have 12 apples and you buy 21 more apples, how many apples do you have in total? | 33 | Add initial 12 plus bought 21: 12+21=33. | addition_word |
12,179 | algebra | easy | Solve for x: 12x - 39 = -195 | -13 | Add 39 to both sides: 12x = -195+39=-156. Then x = -156/12 = -13. | linear_equation |
12,180 | arithmetic | easy | What is 69 * 56? | 3864 | Multiply: 69 * 56 = 3864. | basic_operations |
12,181 | arithmetic | easy | What is 489 + 364 * 75? Remember order of operations. | 27789 | Order of operations (PEMDAS): first 364*75=27300, then 489+27300=27789. | basic_operations |
12,182 | number_theory | medium | What is the GCD (greatest common divisor) of 54 and 55? | 1 | Find greatest number dividing both 54 and 55. Divisors common, greatest is 1. | gcd |
12,183 | 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 |
12,184 | 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 |
12,185 | 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 |
12,186 | arithmetic | easy | What is 35 + 31 * 7? Remember order of operations. | 252 | Order of operations (PEMDAS): first 31*7=217, then 35+217=252. | basic_operations |
12,187 | arithmetic | easy | What is 788 + 84? | 872 | Add the two numbers: 788 + 84 = 872. | basic_operations |
12,188 | number_theory | medium | What is the LCM (least common multiple) of 44 and 59? | 2596 | LCM = |44*59| / GCD(44,59). GCD=1, so LCM=2596/1=2596. | lcm |
12,189 | exponents | easy | What is 9^4? | 6561 | 9^4 means multiply 9 by itself 4 times: 9*9*9*9 = 6561. | exponents |
12,190 | 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 |
12,191 | 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 |
12,192 | fractions | medium | What is 5/20 - 16/17? Give as simplified fraction. | -47/68 | Common denominator 340. Numerator 85-320=-235. So -235/340 simplifies to -47/68. | fraction_operations |
12,193 | arithmetic | easy | What is 783 + 61? | 844 | Add the two numbers: 783 + 61 = 844. | basic_operations |
12,194 | roots | easy | What is the square root of 1600? | 40 | Find number that when squared gives 1600. 40*40=1600, so sqrt(1600)=40. | square_roots |
12,195 | arithmetic | easy | What is 812 + 771 * 93? Remember order of operations. | 72515 | Order of operations (PEMDAS): first 771*93=71703, then 812+71703=72515. | basic_operations |
12,196 | arithmetic | easy | What is 803 - 627? | 176 | Subtract: 803 - 627 = 176. | basic_operations |
12,197 | 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 |
12,198 | statistics | easy | What is the mean (average) of 3, 54, 13, 49, 43? | 32.4 | Mean = sum/count. Sum = 3+54+13+49+43=162. Count=5. Mean=162/5=32.4. | mean |
12,199 | percentages | easy | What is 60% of 226? | 135.6 | Calculate 60/100 * 226 = 0.6*226 = 135.6. | percentages |
12,200 | arithmetic | easy | What is 330 + 209 * 100? Remember order of operations. | 21230 | Order of operations (PEMDAS): first 209*100=20900, then 330+20900=21230. | basic_operations |
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