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 |
|---|---|---|---|---|---|---|
730,201 | percentages | easy | What is 4% of 958? | 38.32 | Calculate 4/100 * 958 = 0.04*958 = 38.32. | percentages |
730,202 | exponents | easy | What is 9^4? | 6561 | 9^4 means multiply 9 by itself 4 times: 9*9*9*9 = 6561. | exponents |
730,203 | percentages | easy | What is 62% of 515? | 319.3 | Calculate 62/100 * 515 = 0.62*515 = 319.3. | percentages |
730,204 | arithmetic | easy | What is 979 + 47 * 5? Remember order of operations. | 1214 | Order of operations (PEMDAS): first 47*5=235, then 979+235=1214. | basic_operations |
730,205 | exponents | easy | What is 6^3? | 216 | 6^3 means multiply 6 by itself 3 times: 6*6*6 = 216. | exponents |
730,206 | 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 |
730,207 | geometry | easy | Find the area of a circle with radius 15. Use pi=3.14159, round to 2 decimals. | 706.86 | Area = pi*r^2 = 3.14159*15^2 = 3.14159*225 = 706.86. | circle_area |
730,208 | number_theory | medium | What is the LCM (least common multiple) of 2 and 17? | 34 | LCM = |2*17| / GCD(2,17). GCD=1, so LCM=34/1=34. | lcm |
730,209 | algebra | medium | Solve for x: x^2 + 6x + 8 = 0 | x = -2, -4 | Factor: (x - -2)(x - -4) = x^2 -(-6)x + 8 = 0. So x = -2 or -4. Check sum = -6, product = 8. | quadratic |
730,210 | algebra | medium | Solve for x: x^2 + 1x = 0 | x = -1, 0 | Factor: (x - -1)(x - 0) = x^2 -(-1)x + 0 = 0. So x = -1 or 0. Check sum = -1, product = 0. | quadratic |
730,211 | 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 |
730,212 | 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 |
730,213 | arithmetic | easy | What is 793 + 731? | 1524 | Add the two numbers: 793 + 731 = 1524. | basic_operations |
730,214 | percentages | easy | What is 67% of 1000? | 670 | Calculate 67/100 * 1000 = 0.67*1000 = 670. | percentages |
730,215 | arithmetic | easy | What is 16021 / 37? | 433 | Divide: 16021 ÷ 37 = 433 because 37*433=16021. | division |
730,216 | arithmetic | easy | What is 75 * 1? | 75 | Multiply: 75 * 1 = 75. | basic_operations |
730,217 | percentages | easy | What is 91% of 924? | 840.84 | Calculate 91/100 * 924 = 0.91*924 = 840.84. | percentages |
730,218 | exponents | easy | What is 11^5? | 161051 | 11^5 means multiply 11 by itself 5 times: 11*11*11*11*11 = 161051. | exponents |
730,219 | calculus | medium | What is the derivative of 3x^5 with respect to x? | 15x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^5] = 3*5*x^4 = 15x^4. | derivative |
730,220 | exponents | easy | What is 3^2? | 9 | 3^2 means multiply 3 by itself 2 times: 3*3 = 9. | exponents |
730,221 | fractions | medium | What is 12/17 * 3/20? Give as simplified fraction. | 9/85 | Multiply numerators: 12*3=36. Denominators: 17*20=340. Simplify by gcd 4 to get 9/85. | fraction_operations |
730,222 | 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 |
730,223 | percentages | easy | What is 85% of 859? | 730.15 | Calculate 85/100 * 859 = 0.85*859 = 730.15. | percentages |
730,224 | exponents | easy | What is 7^4? | 2401 | 7^4 means multiply 7 by itself 4 times: 7*7*7*7 = 2401. | exponents |
730,225 | word_problems | easy | If you have 51 apples and you buy 3 more apples, how many apples do you have in total? | 54 | Add initial 51 plus bought 3: 51+3=54. | addition_word |
730,226 | geometry | easy | Find the circumference of a circle with radius 34. Use pi=3.14159, round to 2 decimals. | 213.63 | Circumference = 2*pi*r = 2*3.14159*34 = 213.63. | circle_circum |
730,227 | percentages | easy | What is 3% of 591? | 17.73 | Calculate 3/100 * 591 = 0.03*591 = 17.73. | percentages |
730,228 | 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 |
730,229 | fractions | medium | What is 11/4 + 12/8? Give as simplified fraction. | 17/4 | Common denominator 4*8=32. 11/4=88/32, 12/8=48/32. Sum = 136/32 = 17/4 simplified. | fraction_operations |
730,230 | exponents | easy | What is 10^2? | 100 | 10^2 means multiply 10 by itself 2 times: 10*10 = 100. | exponents |
730,231 | algebra | easy | Solve for x: 13x + 40 = 79 | 3 | Subtract 40 from both sides: 13x = 79-40=39. Then divide by 13: x = 39/13 = 3. | linear_equation |
730,232 | algebra | easy | Solve for x: 8x - 23 = 49 | 9 | Add 23 to both sides: 8x = 49+23=72. Then x = 72/8 = 9. | linear_equation |
730,233 | statistics | easy | What is the mean (average) of 68, 80, 32, 65? | 61.25 | Mean = sum/count. Sum = 68+80+32+65=245. Count=4. Mean=245/4=61.25. | mean |
730,234 | word_problems | easy | If you have 86 candies and you buy 20 more candies, how many candies do you have in total? | 106 | Add initial 86 plus bought 20: 86+20=106. | addition_word |
730,235 | algebra | easy | Solve for x: 13x - 17 = 126 | 11 | Add 17 to both sides: 13x = 126+17=143. Then x = 143/13 = 11. | linear_equation |
730,236 | fractions | medium | What is 13/2 * 10/17? Give as simplified fraction. | 65/17 | Multiply numerators: 13*10=130. Denominators: 2*17=34. Simplify by gcd 2 to get 65/17. | fraction_operations |
730,237 | algebra | easy | Solve for x: 16x + 44 = -164 | -13 | Subtract 44 from both sides: 16x = -164-44=-208. Then divide by 16: x = -208/16 = -13. | linear_equation |
730,238 | arithmetic | easy | What is 5 + 16 * 51? Remember order of operations. | 821 | Order of operations (PEMDAS): first 16*51=816, then 5+816=821. | basic_operations |
730,239 | 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 |
730,240 | exponents | easy | What is 4^4? | 256 | 4^4 means multiply 4 by itself 4 times: 4*4*4*4 = 256. | exponents |
730,241 | algebra | easy | Solve for x: 3x - 1 = 59 | 20 | Add 1 to both sides: 3x = 59+1=60. Then x = 60/3 = 20. | linear_equation |
730,242 | arithmetic | easy | What is 624 - 218? | 406 | Subtract: 624 - 218 = 406. | basic_operations |
730,243 | 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 |
730,244 | arithmetic | easy | What is 734 + 208? | 942 | Add the two numbers: 734 + 208 = 942. | basic_operations |
730,245 | arithmetic | easy | What is 2898 / 21? | 138 | Divide: 2898 ÷ 21 = 138 because 21*138=2898. | division |
730,246 | roots | easy | What is the square root of 256? | 16 | Find number that when squared gives 256. 16*16=256, so sqrt(256)=16. | square_roots |
730,247 | arithmetic | easy | What is 391 - 256? | 135 | Subtract: 391 - 256 = 135. | basic_operations |
730,248 | geometry | easy | Find the area of a rectangle with length 62 and width 90. | 5580 | Area = length * width = 62*90 = 5580. | rectangle_area |
730,249 | geometry | easy | Find the perimeter of a rectangle with length 70 and width 89. | 318 | Perimeter = 2*(length+width) = 2*(70+89) = 2*159 = 318. | rectangle_perim |
730,250 | arithmetic | easy | What is 85 + 55 * 64? Remember order of operations. | 3605 | Order of operations (PEMDAS): first 55*64=3520, then 85+3520=3605. | basic_operations |
730,251 | algebra | medium | Solve for x: x^2 + 5x - 36 = 0 | x = -9, 4 | Factor: (x - -9)(x - 4) = x^2 -(-5)x + -36 = 0. So x = -9 or 4. Check sum = -5, product = -36. | quadratic |
730,252 | arithmetic | easy | What is 843 + 644 * 76? Remember order of operations. | 49787 | Order of operations (PEMDAS): first 644*76=48944, then 843+48944=49787. | basic_operations |
730,253 | arithmetic | easy | What is 980 / 70? | 14 | Divide: 980 ÷ 70 = 14 because 70*14=980. | division |
730,254 | arithmetic | easy | What is 658 + 267? | 925 | Add the two numbers: 658 + 267 = 925. | basic_operations |
730,255 | 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 |
730,256 | 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 |
730,257 | calculus | medium | What is the derivative of 7x^4 with respect to x? | 28x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^4] = 7*4*x^3 = 28x^3. | derivative |
730,258 | 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 |
730,259 | 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 |
730,260 | arithmetic | easy | What is 1 * 66? | 66 | Multiply: 1 * 66 = 66. | basic_operations |
730,261 | fractions | medium | What is 5/6 - 18/11? Give as simplified fraction. | -53/66 | Common denominator 66. Numerator 55-108=-53. So -53/66 simplifies to -53/66. | fraction_operations |
730,262 | geometry | easy | Find the perimeter of a rectangle with length 41 and width 3. | 88 | Perimeter = 2*(length+width) = 2*(41+3) = 2*44 = 88. | rectangle_perim |
730,263 | geometry | easy | Find the area of a rectangle with length 91 and width 64. | 5824 | Area = length * width = 91*64 = 5824. | rectangle_area |
730,264 | arithmetic | easy | What is 7946 / 29? | 274 | Divide: 7946 ÷ 29 = 274 because 29*274=7946. | division |
730,265 | 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 |
730,266 | exponents | easy | What is 2^5? | 32 | 2^5 means multiply 2 by itself 5 times: 2*2*2*2*2 = 32. | exponents |
730,267 | roots | easy | What is the square root of 256? | 16 | Find number that when squared gives 256. 16*16=256, so sqrt(256)=16. | square_roots |
730,268 | arithmetic | easy | What is 121 - 72? | 49 | Subtract: 121 - 72 = 49. | basic_operations |
730,269 | 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 |
730,270 | roots | easy | What is the square root of 961? | 31 | Find number that when squared gives 961. 31*31=961, so sqrt(961)=31. | square_roots |
730,271 | exponents | easy | What is 2^3? | 8 | 2^3 means multiply 2 by itself 3 times: 2*2*2 = 8. | exponents |
730,272 | roots | easy | What is the square root of 169? | 13 | Find number that when squared gives 169. 13*13=169, so sqrt(169)=13. | square_roots |
730,273 | arithmetic | easy | What is 955 - 255? | 700 | Subtract: 955 - 255 = 700. | basic_operations |
730,274 | word_problems | easy | If you have 28 books and you buy 1 more books, how many books do you have in total? | 29 | Add initial 28 plus bought 1: 28+1=29. | addition_word |
730,275 | word_problems | easy | If you have 27 dollars and you buy 34 more dollars, how many dollars do you have in total? | 61 | Add initial 27 plus bought 34: 27+34=61. | addition_word |
730,276 | arithmetic | easy | What is 850 - 677? | 173 | Subtract: 850 - 677 = 173. | basic_operations |
730,277 | percentages | easy | What is 48% of 361? | 173.28 | Calculate 48/100 * 361 = 0.48*361 = 173.28. | percentages |
730,278 | 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 |
730,279 | arithmetic | easy | What is 780 + 50 * 32? Remember order of operations. | 2380 | Order of operations (PEMDAS): first 50*32=1600, then 780+1600=2380. | basic_operations |
730,280 | word_problems | easy | If you have 44 candies and you buy 10 more candies, how many candies do you have in total? | 54 | Add initial 44 plus bought 10: 44+10=54. | addition_word |
730,281 | arithmetic | easy | What is 4914 / 27? | 182 | Divide: 4914 ÷ 27 = 182 because 27*182=4914. | division |
730,282 | number_theory | medium | What is the GCD (greatest common divisor) of 29 and 70? | 1 | Find greatest number dividing both 29 and 70. Divisors common, greatest is 1. | gcd |
730,283 | number_theory | medium | What is the LCM (least common multiple) of 37 and 81? | 2997 | LCM = |37*81| / GCD(37,81). GCD=1, so LCM=2997/1=2997. | lcm |
730,284 | arithmetic | easy | What is 62 * 54? | 3348 | Multiply: 62 * 54 = 3348. | basic_operations |
730,285 | geometry | easy | Find the area of a triangle with base 100 and height 24. | 1200 | Area = 0.5*base*height = 0.5*100*24 = 1200. | triangle_area |
730,286 | arithmetic | easy | What is 4619 / 31? | 149 | Divide: 4619 ÷ 31 = 149 because 31*149=4619. | division |
730,287 | geometry | easy | Find the area of a rectangle with length 66 and width 5. | 330 | Area = length * width = 66*5 = 330. | rectangle_area |
730,288 | calculus | medium | What is the derivative of 8x^3 with respect to x? | 24x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^3] = 8*3*x^2 = 24x^2. | derivative |
730,289 | statistics | easy | What is the mean (average) of 44, 94, 54? | 64 | Mean = sum/count. Sum = 44+94+54=192. Count=3. Mean=192/3=64.0. | mean |
730,290 | arithmetic | easy | What is 738 - 126? | 612 | Subtract: 738 - 126 = 612. | basic_operations |
730,291 | statistics | easy | What is the mean (average) of 45, 35, 98, 92, 36? | 61.2 | Mean = sum/count. Sum = 45+35+98+92+36=306. Count=5. Mean=306/5=61.2. | mean |
730,292 | 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 |
730,293 | algebra | medium | Solve for x: x^2 - 4x - 21 = 0 | x = 7, -3 | Factor: (x - 7)(x - -3) = x^2 -(4)x + -21 = 0. So x = 7 or -3. Check sum = 4, product = -21. | quadratic |
730,294 | arithmetic | easy | What is 20330 / 95? | 214 | Divide: 20330 ÷ 95 = 214 because 95*214=20330. | division |
730,295 | exponents | easy | What is 3^2? | 9 | 3^2 means multiply 3 by itself 2 times: 3*3 = 9. | exponents |
730,296 | 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 |
730,297 | exponents | easy | What is 11^5? | 161051 | 11^5 means multiply 11 by itself 5 times: 11*11*11*11*11 = 161051. | exponents |
730,298 | arithmetic | easy | What is 13206 / 62? | 213 | Divide: 13206 ÷ 62 = 213 because 62*213=13206. | division |
730,299 | 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 |
730,300 | word_problems | easy | If you have 13 pencils and you buy 24 more pencils, how many pencils do you have in total? | 37 | Add initial 13 plus bought 24: 13+24=37. | addition_word |
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