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 |
|---|---|---|---|---|---|---|
1,201 | arithmetic | easy | What is 904 + 514 * 18? Remember order of operations. | 10156 | Order of operations (PEMDAS): first 514*18=9252, then 904+9252=10156. | basic_operations |
1,202 | arithmetic | easy | What is 527 + 659 * 36? Remember order of operations. | 24251 | Order of operations (PEMDAS): first 659*36=23724, then 527+23724=24251. | basic_operations |
1,203 | 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 |
1,204 | arithmetic | easy | What is 10148 / 86? | 118 | Divide: 10148 ÷ 86 = 118 because 86*118=10148. | division |
1,205 | arithmetic | easy | What is 21829 divided by 63? Give answer to 2 decimal places. | 346.49 | Calculate 21829/ 63 = 346.4921, rounded to 2 decimals is 346.49. | division |
1,206 | fractions | medium | What is 19/7 + 14/2? Give as simplified fraction. | 68/7 | Common denominator 7*2=14. 19/7=38/14, 14/2=98/14. Sum = 136/14 = 68/7 simplified. | fraction_operations |
1,207 | arithmetic | easy | What is 131 + 588 * 76? Remember order of operations. | 44819 | Order of operations (PEMDAS): first 588*76=44688, then 131+44688=44819. | basic_operations |
1,208 | arithmetic | easy | What is 913 + 587 * 19? Remember order of operations. | 12066 | Order of operations (PEMDAS): first 587*19=11153, then 913+11153=12066. | basic_operations |
1,209 | algebra | medium | Solve for x: x^2 - 8x + 12 = 0 | x = 6, 2 | Factor: (x - 6)(x - 2) = x^2 -(8)x + 12 = 0. So x = 6 or 2. Check sum = 8, product = 12. | quadratic |
1,210 | arithmetic | easy | What is 37 + 11 * 94? Remember order of operations. | 1071 | Order of operations (PEMDAS): first 11*94=1034, then 37+1034=1071. | basic_operations |
1,211 | statistics | easy | What is the mean (average) of 22, 29, 53, 77? | 45.25 | Mean = sum/count. Sum = 22+29+53+77=181. Count=4. Mean=181/4=45.25. | mean |
1,212 | algebra | easy | Solve for x: 19x + 48 = -123 | -9 | Subtract 48 from both sides: 19x = -123-48=-171. Then divide by 19: x = -171/19 = -9. | linear_equation |
1,213 | geometry | easy | Find the perimeter of a rectangle with length 93 and width 88. | 362 | Perimeter = 2*(length+width) = 2*(93+88) = 2*181 = 362. | rectangle_perim |
1,214 | roots | easy | What is the square root of 900? | 30 | Find number that when squared gives 900. 30*30=900, so sqrt(900)=30. | square_roots |
1,215 | arithmetic | easy | What is 236 + 388 * 50? Remember order of operations. | 19636 | Order of operations (PEMDAS): first 388*50=19400, then 236+19400=19636. | basic_operations |
1,216 | fractions | medium | What is 17/18 * 14/6? Give as simplified fraction. | 119/54 | Multiply numerators: 17*14=238. Denominators: 18*6=108. Simplify by gcd 2 to get 119/54. | fraction_operations |
1,217 | arithmetic | easy | What is 5856 / 24? | 244 | Divide: 5856 ÷ 24 = 244 because 24*244=5856. | division |
1,218 | arithmetic | easy | What is 3211 / 13? | 247 | Divide: 3211 ÷ 13 = 247 because 13*247=3211. | division |
1,219 | arithmetic | easy | What is 84 * 56? | 4704 | Multiply: 84 * 56 = 4704. | basic_operations |
1,220 | number_theory | medium | What is the LCM (least common multiple) of 6 and 90? | 90 | LCM = |6*90| / GCD(6,90). GCD=6, so LCM=540/6=90. | lcm |
1,221 | percentages | easy | What is 62% of 809? | 501.58 | Calculate 62/100 * 809 = 0.62*809 = 501.58. | percentages |
1,222 | 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 |
1,223 | arithmetic | easy | What is 3881 divided by 56? Give answer to 2 decimal places. | 69.3 | Calculate 3881/ 56 = 69.3036, rounded to 2 decimals is 69.3. | division |
1,224 | percentages | easy | What is 11% of 291? | 32.01 | Calculate 11/100 * 291 = 0.11*291 = 32.01. | percentages |
1,225 | 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 |
1,226 | fractions | medium | What is 1/2 + 19/18? Give as simplified fraction. | 14/9 | Common denominator 2*18=36. 1/2=18/36, 19/18=38/36. Sum = 56/36 = 14/9 simplified. | fraction_operations |
1,227 | arithmetic | easy | What is 41 * 53? | 2173 | Multiply: 41 * 53 = 2173. | basic_operations |
1,228 | algebra | easy | Solve for x: 14x + 33 = 271 | 17 | Subtract 33 from both sides: 14x = 271-33=238. Then divide by 14: x = 238/14 = 17. | linear_equation |
1,229 | geometry | easy | Find the area of a circle with radius 35. Use pi=3.14159, round to 2 decimals. | 3848.45 | Area = pi*r^2 = 3.14159*35^2 = 3.14159*1225 = 3848.45. | circle_area |
1,230 | 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 |
1,231 | number_theory | medium | What is the LCM (least common multiple) of 79 and 36? | 2844 | LCM = |79*36| / GCD(79,36). GCD=1, so LCM=2844/1=2844. | lcm |
1,232 | fractions | medium | What is 14/19 + 18/17? Give as simplified fraction. | 580/323 | Common denominator 19*17=323. 14/19=238/323, 18/17=342/323. Sum = 580/323 = 580/323 simplified. | fraction_operations |
1,233 | number_theory | medium | What is the LCM (least common multiple) of 72 and 72? | 72 | LCM = |72*72| / GCD(72,72). GCD=72, so LCM=5184/72=72. | lcm |
1,234 | geometry | easy | Find the area of a circle with radius 37. Use pi=3.14159, round to 2 decimals. | 4300.84 | Area = pi*r^2 = 3.14159*37^2 = 3.14159*1369 = 4300.84. | circle_area |
1,235 | number_theory | medium | What is the LCM (least common multiple) of 100 and 91? | 9100 | LCM = |100*91| / GCD(100,91). GCD=1, so LCM=9100/1=9100. | lcm |
1,236 | algebra | easy | Solve for x: 4x + 45 = 21 | -6 | Subtract 45 from both sides: 4x = 21-45=-24. Then divide by 4: x = -24/4 = -6. | linear_equation |
1,237 | word_problems | easy | If you have 94 apples and you buy 11 more apples, how many apples do you have in total? | 105 | Add initial 94 plus bought 11: 94+11=105. | addition_word |
1,238 | fractions | medium | What is 17/14 * 11/19? Give as simplified fraction. | 187/266 | Multiply numerators: 17*11=187. Denominators: 14*19=266. Simplify by gcd 1 to get 187/266. | fraction_operations |
1,239 | arithmetic | easy | What is 165 + 399? | 564 | Add the two numbers: 165 + 399 = 564. | basic_operations |
1,240 | algebra | easy | Solve for x: 16x + 26 = 138 | 7 | Subtract 26 from both sides: 16x = 138-26=112. Then divide by 16: x = 112/16 = 7. | linear_equation |
1,241 | arithmetic | easy | What is 270 + 66 * 29? Remember order of operations. | 2184 | Order of operations (PEMDAS): first 66*29=1914, then 270+1914=2184. | basic_operations |
1,242 | arithmetic | easy | What is 84 + 67 * 52? Remember order of operations. | 3568 | Order of operations (PEMDAS): first 67*52=3484, then 84+3484=3568. | basic_operations |
1,243 | arithmetic | easy | What is 64 + 57 * 23? Remember order of operations. | 1375 | Order of operations (PEMDAS): first 57*23=1311, then 64+1311=1375. | basic_operations |
1,244 | exponents | easy | What is 5^2? | 25 | 5^2 means multiply 5 by itself 2 times: 5*5 = 25. | exponents |
1,245 | percentages | easy | What is 79% of 174? | 137.46 | Calculate 79/100 * 174 = 0.79*174 = 137.46. | percentages |
1,246 | arithmetic | easy | What is 369 + 245? | 614 | Add the two numbers: 369 + 245 = 614. | basic_operations |
1,247 | arithmetic | easy | What is 799 - 283? | 516 | Subtract: 799 - 283 = 516. | basic_operations |
1,248 | 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 |
1,249 | arithmetic | easy | What is 755 + 721? | 1476 | Add the two numbers: 755 + 721 = 1476. | basic_operations |
1,250 | number_theory | medium | What is the GCD (greatest common divisor) of 45 and 36? | 9 | Find greatest number dividing both 45 and 36. Divisors common, greatest is 9. | gcd |
1,251 | fractions | medium | What is 15/14 - 19/2? Give as simplified fraction. | -59/7 | Common denominator 28. Numerator 30-266=-236. So -236/28 simplifies to -59/7. | fraction_operations |
1,252 | algebra | medium | Solve for x: x^2 - 9x + 18 = 0 | x = 3, 6 | Factor: (x - 3)(x - 6) = x^2 -(9)x + 18 = 0. So x = 3 or 6. Check sum = 9, product = 18. | quadratic |
1,253 | arithmetic | easy | What is 2774 / 73? | 38 | Divide: 2774 ÷ 73 = 38 because 73*38=2774. | division |
1,254 | 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 |
1,255 | geometry | easy | Find the area of a triangle with base 74 and height 33. | 1221 | Area = 0.5*base*height = 0.5*74*33 = 1221. | triangle_area |
1,256 | word_problems | easy | If you have 53 candies and you buy 37 more candies, how many candies do you have in total? | 90 | Add initial 53 plus bought 37: 53+37=90. | addition_word |
1,257 | percentages | easy | What is 97% of 348? | 337.56 | Calculate 97/100 * 348 = 0.97*348 = 337.56. | percentages |
1,258 | word_problems | easy | If you have 92 pencils and you buy 30 more pencils, how many pencils do you have in total? | 122 | Add initial 92 plus bought 30: 92+30=122. | addition_word |
1,259 | arithmetic | easy | What is 494 + 120? | 614 | Add the two numbers: 494 + 120 = 614. | basic_operations |
1,260 | percentages | easy | What is 87% of 719? | 625.53 | Calculate 87/100 * 719 = 0.87*719 = 625.53. | percentages |
1,261 | percentages | easy | What is 41% of 423? | 173.43 | Calculate 41/100 * 423 = 0.41*423 = 173.43. | percentages |
1,262 | number_theory | medium | What is the GCD (greatest common divisor) of 67 and 69? | 1 | Find greatest number dividing both 67 and 69. Divisors common, greatest is 1. | gcd |
1,263 | geometry | easy | Find the perimeter of a rectangle with length 37 and width 12. | 98 | Perimeter = 2*(length+width) = 2*(37+12) = 2*49 = 98. | rectangle_perim |
1,264 | calculus | medium | What is the derivative of 6x^7 with respect to x? | 42x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^7] = 6*7*x^6 = 42x^6. | derivative |
1,265 | arithmetic | easy | What is 954 - 568? | 386 | Subtract: 954 - 568 = 386. | basic_operations |
1,266 | fractions | medium | What is 19/10 - 6/8? Give as simplified fraction. | 23/20 | Common denominator 80. Numerator 152-60=92. So 92/80 simplifies to 23/20. | fraction_operations |
1,267 | fractions | medium | What is 8/9 + 9/8? Give as simplified fraction. | 145/72 | Common denominator 9*8=72. 8/9=64/72, 9/8=81/72. Sum = 145/72 = 145/72 simplified. | fraction_operations |
1,268 | fractions | medium | What is 8/13 + 5/5? Give as simplified fraction. | 21/13 | Common denominator 13*5=65. 8/13=40/65, 5/5=65/65. Sum = 105/65 = 21/13 simplified. | fraction_operations |
1,269 | arithmetic | easy | What is 979 - 693? | 286 | Subtract: 979 - 693 = 286. | basic_operations |
1,270 | arithmetic | easy | What is 41 * 64? | 2624 | Multiply: 41 * 64 = 2624. | basic_operations |
1,271 | geometry | easy | Find the circumference of a circle with radius 12. Use pi=3.14159, round to 2 decimals. | 75.4 | Circumference = 2*pi*r = 2*3.14159*12 = 75.4. | circle_circum |
1,272 | 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 |
1,273 | algebra | easy | Solve for x: 2x + 17 = 31 | 7 | Subtract 17 from both sides: 2x = 31-17=14. Then divide by 2: x = 14/2 = 7. | linear_equation |
1,274 | statistics | easy | What is the mean (average) of 5, 65, 45, 51, 88? | 50.8 | Mean = sum/count. Sum = 5+65+45+51+88=254. Count=5. Mean=254/5=50.8. | mean |
1,275 | algebra | medium | Solve for x: x^2 + 3x - 28 = 0 | x = 4, -7 | Factor: (x - 4)(x - -7) = x^2 -(-3)x + -28 = 0. So x = 4 or -7. Check sum = -3, product = -28. | quadratic |
1,276 | word_problems | easy | If you have 45 apples and you buy 45 more apples, how many apples do you have in total? | 90 | Add initial 45 plus bought 45: 45+45=90. | addition_word |
1,277 | arithmetic | easy | What is 13 * 42? | 546 | Multiply: 13 * 42 = 546. | basic_operations |
1,278 | geometry | easy | Find the perimeter of a rectangle with length 71 and width 34. | 210 | Perimeter = 2*(length+width) = 2*(71+34) = 2*105 = 210. | rectangle_perim |
1,279 | percentages | easy | What is 35% of 483? | 169.05 | Calculate 35/100 * 483 = 0.35*483 = 169.05. | percentages |
1,280 | roots | easy | What is the square root of 576? | 24 | Find number that when squared gives 576. 24*24=576, so sqrt(576)=24. | square_roots |
1,281 | algebra | medium | Solve for x: x^2 - 8x + 15 = 0 | x = 5, 3 | Factor: (x - 5)(x - 3) = x^2 -(8)x + 15 = 0. So x = 5 or 3. Check sum = 8, product = 15. | quadratic |
1,282 | fractions | medium | What is 14/13 - 12/14? Give as simplified fraction. | 20/91 | Common denominator 182. Numerator 196-156=40. So 40/182 simplifies to 20/91. | fraction_operations |
1,283 | word_problems | easy | If you have 28 books and you buy 37 more books, how many books do you have in total? | 65 | Add initial 28 plus bought 37: 28+37=65. | addition_word |
1,284 | percentages | easy | What is 13% of 739? | 96.07 | Calculate 13/100 * 739 = 0.13*739 = 96.07. | percentages |
1,285 | geometry | easy | Find the perimeter of a rectangle with length 72 and width 56. | 256 | Perimeter = 2*(length+width) = 2*(72+56) = 2*128 = 256. | rectangle_perim |
1,286 | 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 |
1,287 | algebra | easy | Solve for x: 16x - 49 = -193 | -9 | Add 49 to both sides: 16x = -193+49=-144. Then x = -144/16 = -9. | linear_equation |
1,288 | 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 |
1,289 | algebra | easy | Solve for x: 17x + 18 = 18 | 0 | Subtract 18 from both sides: 17x = 18-18=0. Then divide by 17: x = 0/17 = 0. | linear_equation |
1,290 | statistics | easy | What is the mean (average) of 33, 72, 73, 7? | 46.25 | Mean = sum/count. Sum = 33+72+73+7=185. Count=4. Mean=185/4=46.25. | mean |
1,291 | calculus | medium | What is the derivative of 3x^2 with respect to x? | 6x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^2] = 3*2*x^1 = 6x. | derivative |
1,292 | arithmetic | easy | What is 834 - 221? | 613 | Subtract: 834 - 221 = 613. | basic_operations |
1,293 | arithmetic | easy | What is 22538 / 59? | 382 | Divide: 22538 ÷ 59 = 382 because 59*382=22538. | division |
1,294 | number_theory | medium | What is the LCM (least common multiple) of 47 and 72? | 3384 | LCM = |47*72| / GCD(47,72). GCD=1, so LCM=3384/1=3384. | lcm |
1,295 | number_theory | medium | What is the GCD (greatest common divisor) of 3 and 53? | 1 | Find greatest number dividing both 3 and 53. Divisors common, greatest is 1. | gcd |
1,296 | number_theory | medium | What is the GCD (greatest common divisor) of 87 and 78? | 3 | Find greatest number dividing both 87 and 78. Divisors common, greatest is 3. | gcd |
1,297 | algebra | medium | Solve for x: x^2 - 1 = 0 | x = -1, 1 | Factor: (x - -1)(x - 1) = x^2 -(0)x + -1 = 0. So x = -1 or 1. Check sum = 0, product = -1. | quadratic |
1,298 | 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 |
1,299 | statistics | easy | What is the mean (average) of 58, 11, 49, 79, 37? | 46.8 | Mean = sum/count. Sum = 58+11+49+79+37=234. Count=5. Mean=234/5=46.8. | mean |
1,300 | word_problems | easy | If you have 85 books and you buy 10 more books, how many books do you have in total? | 95 | Add initial 85 plus bought 10: 85+10=95. | addition_word |
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