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 |
|---|---|---|---|---|---|---|
733,201 | algebra | medium | Solve for x: x^2 - 10x + 16 = 0 | x = 2, 8 | Factor: (x - 2)(x - 8) = x^2 -(10)x + 16 = 0. So x = 2 or 8. Check sum = 10, product = 16. | quadratic |
733,202 | 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 |
733,203 | 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 |
733,204 | arithmetic | easy | What is 43409 divided by 90? Give answer to 2 decimal places. | 482.32 | Calculate 43409/ 90 = 482.3222, rounded to 2 decimals is 482.32. | division |
733,205 | algebra | medium | Solve for x: x^2 - 3x - 40 = 0 | x = -5, 8 | Factor: (x - -5)(x - 8) = x^2 -(3)x + -40 = 0. So x = -5 or 8. Check sum = 3, product = -40. | quadratic |
733,206 | geometry | easy | Find the perimeter of a rectangle with length 96 and width 42. | 276 | Perimeter = 2*(length+width) = 2*(96+42) = 2*138 = 276. | rectangle_perim |
733,207 | number_theory | medium | What is the GCD (greatest common divisor) of 65 and 80? | 5 | Find greatest number dividing both 65 and 80. Divisors common, greatest is 5. | gcd |
733,208 | arithmetic | easy | What is 622 + 528 * 55? Remember order of operations. | 29662 | Order of operations (PEMDAS): first 528*55=29040, then 622+29040=29662. | basic_operations |
733,209 | number_theory | medium | What is the GCD (greatest common divisor) of 17 and 98? | 1 | Find greatest number dividing both 17 and 98. Divisors common, greatest is 1. | gcd |
733,210 | algebra | easy | Solve for x: 8x + 34 = -110 | -18 | Subtract 34 from both sides: 8x = -110-34=-144. Then divide by 8: x = -144/8 = -18. | linear_equation |
733,211 | arithmetic | easy | What is 989 - 499? | 490 | Subtract: 989 - 499 = 490. | basic_operations |
733,212 | algebra | medium | Solve for x: x^2 + 9x + 8 = 0 | x = -8, -1 | Factor: (x - -8)(x - -1) = x^2 -(-9)x + 8 = 0. So x = -8 or -1. Check sum = -9, product = 8. | quadratic |
733,213 | 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 |
733,214 | arithmetic | easy | What is 611 + 32 * 58? Remember order of operations. | 2467 | Order of operations (PEMDAS): first 32*58=1856, then 611+1856=2467. | basic_operations |
733,215 | fractions | medium | What is 19/15 * 6/5? Give as simplified fraction. | 38/25 | Multiply numerators: 19*6=114. Denominators: 15*5=75. Simplify by gcd 3 to get 38/25. | fraction_operations |
733,216 | fractions | medium | What is 11/3 + 4/3? Give as simplified fraction. | 5 | Common denominator 3*3=9. 11/3=33/9, 4/3=12/9. Sum = 45/9 = 5 simplified. | fraction_operations |
733,217 | geometry | easy | Find the circumference of a circle with radius 14. Use pi=3.14159, round to 2 decimals. | 87.96 | Circumference = 2*pi*r = 2*3.14159*14 = 87.96. | circle_circum |
733,218 | algebra | medium | Solve for x: x^2 + 12x + 36 = 0 | x = -6 | Factor as (x - -6)^2 = 0, so root is -6 (double root). Sum of roots = -12, product = 36. | quadratic |
733,219 | geometry | easy | Find the area of a triangle with base 37 and height 24. | 444 | Area = 0.5*base*height = 0.5*37*24 = 444. | triangle_area |
733,220 | algebra | easy | Solve for x: 13x - 21 = -86 | -5 | Add 21 to both sides: 13x = -86+21=-65. Then x = -65/13 = -5. | linear_equation |
733,221 | number_theory | medium | What is the LCM (least common multiple) of 52 and 32? | 416 | LCM = |52*32| / GCD(52,32). GCD=4, so LCM=1664/4=416. | lcm |
733,222 | percentages | easy | What is 83% of 143? | 118.69 | Calculate 83/100 * 143 = 0.83*143 = 118.69. | percentages |
733,223 | word_problems | easy | If you have 79 dollars and you buy 28 more dollars, how many dollars do you have in total? | 107 | Add initial 79 plus bought 28: 79+28=107. | addition_word |
733,224 | number_theory | medium | What is the GCD (greatest common divisor) of 58 and 32? | 2 | Find greatest number dividing both 58 and 32. Divisors common, greatest is 2. | gcd |
733,225 | arithmetic | easy | What is 5170 / 55? | 94 | Divide: 5170 ÷ 55 = 94 because 55*94=5170. | division |
733,226 | geometry | easy | Find the perimeter of a rectangle with length 50 and width 68. | 236 | Perimeter = 2*(length+width) = 2*(50+68) = 2*118 = 236. | rectangle_perim |
733,227 | arithmetic | easy | What is 815 + 930? | 1745 | Add the two numbers: 815 + 930 = 1745. | basic_operations |
733,228 | calculus | medium | What is the derivative of 8x^2 with respect to x? | 16x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^2] = 8*2*x^1 = 16x. | derivative |
733,229 | geometry | easy | Find the area of a triangle with base 36 and height 54. | 972 | Area = 0.5*base*height = 0.5*36*54 = 972. | triangle_area |
733,230 | arithmetic | easy | What is 39 + 15 * 13? Remember order of operations. | 234 | Order of operations (PEMDAS): first 15*13=195, then 39+195=234. | basic_operations |
733,231 | geometry | easy | Find the area of a rectangle with length 60 and width 88. | 5280 | Area = length * width = 60*88 = 5280. | rectangle_area |
733,232 | arithmetic | easy | What is 968 + 359? | 1327 | Add the two numbers: 968 + 359 = 1327. | basic_operations |
733,233 | algebra | medium | Solve for x: x^2 - 14x + 45 = 0 | x = 5, 9 | Factor: (x - 5)(x - 9) = x^2 -(14)x + 45 = 0. So x = 5 or 9. Check sum = 14, product = 45. | quadratic |
733,234 | number_theory | medium | What is the GCD (greatest common divisor) of 49 and 5? | 1 | Find greatest number dividing both 49 and 5. Divisors common, greatest is 1. | gcd |
733,235 | 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 |
733,236 | fractions | medium | What is 11/20 + 16/3? Give as simplified fraction. | 353/60 | Common denominator 20*3=60. 11/20=33/60, 16/3=320/60. Sum = 353/60 = 353/60 simplified. | fraction_operations |
733,237 | arithmetic | easy | What is 586 - 302? | 284 | Subtract: 586 - 302 = 284. | basic_operations |
733,238 | arithmetic | easy | What is 527 + 500 * 91? Remember order of operations. | 46027 | Order of operations (PEMDAS): first 500*91=45500, then 527+45500=46027. | basic_operations |
733,239 | algebra | medium | Solve for x: x^2 - 10x + 9 = 0 | x = 1, 9 | Factor: (x - 1)(x - 9) = x^2 -(10)x + 9 = 0. So x = 1 or 9. Check sum = 10, product = 9. | quadratic |
733,240 | arithmetic | easy | What is 984 + 21? | 1005 | Add the two numbers: 984 + 21 = 1005. | basic_operations |
733,241 | algebra | medium | Solve for x: x^2 - 3x = 0 | x = 3, 0 | Factor: (x - 3)(x - 0) = x^2 -(3)x + 0 = 0. So x = 3 or 0. Check sum = 3, product = 0. | quadratic |
733,242 | arithmetic | easy | What is 523 - 461? | 62 | Subtract: 523 - 461 = 62. | basic_operations |
733,243 | 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 |
733,244 | 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 |
733,245 | algebra | medium | Solve for x: x^2 - 5x - 24 = 0 | x = 8, -3 | Factor: (x - 8)(x - -3) = x^2 -(5)x + -24 = 0. So x = 8 or -3. Check sum = 5, product = -24. | quadratic |
733,246 | arithmetic | easy | What is 211 divided by 3? Give answer to 2 decimal places. | 70.33 | Calculate 211/ 3 = 70.3333, rounded to 2 decimals is 70.33. | division |
733,247 | percentages | easy | What is 2% of 292? | 5.84 | Calculate 2/100 * 292 = 0.02*292 = 5.84. | percentages |
733,248 | arithmetic | easy | What is 11726 / 41? | 286 | Divide: 11726 ÷ 41 = 286 because 41*286=11726. | division |
733,249 | arithmetic | easy | What is 435 + 255? | 690 | Add the two numbers: 435 + 255 = 690. | basic_operations |
733,250 | percentages | easy | What is 77% of 827? | 636.79 | Calculate 77/100 * 827 = 0.77*827 = 636.79. | percentages |
733,251 | arithmetic | easy | What is 30 + 95 * 39? Remember order of operations. | 3735 | Order of operations (PEMDAS): first 95*39=3705, then 30+3705=3735. | basic_operations |
733,252 | exponents | easy | What is 3^4? | 81 | 3^4 means multiply 3 by itself 4 times: 3*3*3*3 = 81. | exponents |
733,253 | arithmetic | easy | What is 55 + 86 * 96? Remember order of operations. | 8311 | Order of operations (PEMDAS): first 86*96=8256, then 55+8256=8311. | basic_operations |
733,254 | arithmetic | easy | What is 811 + 759 * 84? Remember order of operations. | 64567 | Order of operations (PEMDAS): first 759*84=63756, then 811+63756=64567. | basic_operations |
733,255 | word_problems | easy | If you have 5 dollars and you buy 43 more dollars, how many dollars do you have in total? | 48 | Add initial 5 plus bought 43: 5+43=48. | addition_word |
733,256 | exponents | easy | What is 3^2? | 9 | 3^2 means multiply 3 by itself 2 times: 3*3 = 9. | exponents |
733,257 | arithmetic | easy | What is 21663 / 87? | 249 | Divide: 21663 ÷ 87 = 249 because 87*249=21663. | division |
733,258 | arithmetic | easy | What is 309 - 92? | 217 | Subtract: 309 - 92 = 217. | basic_operations |
733,259 | calculus | medium | What is the derivative of 7x^8 with respect to x? | 56x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^8] = 7*8*x^7 = 56x^7. | derivative |
733,260 | geometry | easy | Find the circumference of a circle with radius 15. Use pi=3.14159, round to 2 decimals. | 94.25 | Circumference = 2*pi*r = 2*3.14159*15 = 94.25. | circle_circum |
733,261 | arithmetic | easy | What is 965 - 798? | 167 | Subtract: 965 - 798 = 167. | basic_operations |
733,262 | percentages | easy | What is 29% of 218? | 63.22 | Calculate 29/100 * 218 = 0.29*218 = 63.22. | percentages |
733,263 | 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 |
733,264 | arithmetic | easy | What is 409 + 910? | 1319 | Add the two numbers: 409 + 910 = 1319. | basic_operations |
733,265 | arithmetic | easy | What is 882 + 496 * 97? Remember order of operations. | 48994 | Order of operations (PEMDAS): first 496*97=48112, then 882+48112=48994. | basic_operations |
733,266 | geometry | easy | Find the area of a triangle with base 79 and height 60. | 2370 | Area = 0.5*base*height = 0.5*79*60 = 2370. | triangle_area |
733,267 | statistics | easy | What is the mean (average) of 50, 68, 91, 44, 8? | 52.2 | Mean = sum/count. Sum = 50+68+91+44+8=261. Count=5. Mean=261/5=52.2. | mean |
733,268 | statistics | easy | What is the mean (average) of 94, 94, 95, 40, 19? | 68.4 | Mean = sum/count. Sum = 94+94+95+40+19=342. Count=5. Mean=342/5=68.4. | mean |
733,269 | arithmetic | easy | What is 377 + 246 * 98? Remember order of operations. | 24485 | Order of operations (PEMDAS): first 246*98=24108, then 377+24108=24485. | basic_operations |
733,270 | arithmetic | easy | What is 42 + 200? | 242 | Add the two numbers: 42 + 200 = 242. | basic_operations |
733,271 | algebra | easy | Solve for x: 20x + 31 = 271 | 12 | Subtract 31 from both sides: 20x = 271-31=240. Then divide by 20: x = 240/20 = 12. | linear_equation |
733,272 | statistics | easy | What is the mean (average) of 44, 53, 73, 23? | 48.25 | Mean = sum/count. Sum = 44+53+73+23=193. Count=4. Mean=193/4=48.25. | mean |
733,273 | 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 |
733,274 | word_problems | easy | If you have 71 candies and you buy 1 more candies, how many candies do you have in total? | 72 | Add initial 71 plus bought 1: 71+1=72. | addition_word |
733,275 | 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 |
733,276 | arithmetic | easy | What is 65 * 14? | 910 | Multiply: 65 * 14 = 910. | basic_operations |
733,277 | exponents | easy | What is 7^5? | 16807 | 7^5 means multiply 7 by itself 5 times: 7*7*7*7*7 = 16807. | exponents |
733,278 | arithmetic | easy | What is 819 - 536? | 283 | Subtract: 819 - 536 = 283. | basic_operations |
733,279 | exponents | easy | What is 7^5? | 16807 | 7^5 means multiply 7 by itself 5 times: 7*7*7*7*7 = 16807. | exponents |
733,280 | word_problems | easy | If you have 29 pencils and you buy 35 more pencils, how many pencils do you have in total? | 64 | Add initial 29 plus bought 35: 29+35=64. | addition_word |
733,281 | 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 |
733,282 | arithmetic | easy | What is 17112 / 92? | 186 | Divide: 17112 ÷ 92 = 186 because 92*186=17112. | division |
733,283 | 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 |
733,284 | 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 |
733,285 | algebra | medium | Solve for x: x^2 + 8x + 7 = 0 | x = -1, -7 | Factor: (x - -1)(x - -7) = x^2 -(-8)x + 7 = 0. So x = -1 or -7. Check sum = -8, product = 7. | quadratic |
733,286 | statistics | easy | What is the mean (average) of 50, 6, 41, 24, 16? | 27.4 | Mean = sum/count. Sum = 50+6+41+24+16=137. Count=5. Mean=137/5=27.4. | mean |
733,287 | arithmetic | easy | What is 368 + 375 * 6? Remember order of operations. | 2618 | Order of operations (PEMDAS): first 375*6=2250, then 368+2250=2618. | basic_operations |
733,288 | 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 |
733,289 | word_problems | easy | If you have 89 candies and you buy 10 more candies, how many candies do you have in total? | 99 | Add initial 89 plus bought 10: 89+10=99. | addition_word |
733,290 | algebra | medium | Solve for x: x^2 + 10x + 16 = 0 | x = -2, -8 | Factor: (x - -2)(x - -8) = x^2 -(-10)x + 16 = 0. So x = -2 or -8. Check sum = -10, product = 16. | quadratic |
733,291 | word_problems | easy | If you have 92 pencils and you buy 39 more pencils, how many pencils do you have in total? | 131 | Add initial 92 plus bought 39: 92+39=131. | addition_word |
733,292 | number_theory | medium | What is the GCD (greatest common divisor) of 44 and 98? | 2 | Find greatest number dividing both 44 and 98. Divisors common, greatest is 2. | gcd |
733,293 | statistics | easy | What is the mean (average) of 75, 2, 65, 23, 36? | 40.2 | Mean = sum/count. Sum = 75+2+65+23+36=201. Count=5. Mean=201/5=40.2. | mean |
733,294 | arithmetic | easy | What is 60 * 54? | 3240 | Multiply: 60 * 54 = 3240. | basic_operations |
733,295 | percentages | easy | What is 72% of 182? | 131.04 | Calculate 72/100 * 182 = 0.72*182 = 131.04. | percentages |
733,296 | statistics | easy | What is the mean (average) of 55, 55, 28, 52? | 47.5 | Mean = sum/count. Sum = 55+55+28+52=190. Count=4. Mean=190/4=47.5. | mean |
733,297 | geometry | easy | Find the area of a triangle with base 2 and height 55. | 55 | Area = 0.5*base*height = 0.5*2*55 = 55. | triangle_area |
733,298 | word_problems | easy | If you have 71 books and you buy 38 more books, how many books do you have in total? | 109 | Add initial 71 plus bought 38: 71+38=109. | addition_word |
733,299 | arithmetic | easy | What is 45 + 64 * 59? Remember order of operations. | 3821 | Order of operations (PEMDAS): first 64*59=3776, then 45+3776=3821. | basic_operations |
733,300 | 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 |
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