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 |
|---|---|---|---|---|---|---|
734,401 | fractions | medium | What is 10/16 + 9/15? Give as simplified fraction. | 49/40 | Common denominator 16*15=240. 10/16=150/240, 9/15=144/240. Sum = 294/240 = 49/40 simplified. | fraction_operations |
734,402 | fractions | medium | What is 3/17 + 9/14? Give as simplified fraction. | 195/238 | Common denominator 17*14=238. 3/17=42/238, 9/14=153/238. Sum = 195/238 = 195/238 simplified. | fraction_operations |
734,403 | geometry | easy | Find the circumference of a circle with radius 25. Use pi=3.14159, round to 2 decimals. | 157.08 | Circumference = 2*pi*r = 2*3.14159*25 = 157.08. | circle_circum |
734,404 | 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 |
734,405 | arithmetic | easy | What is 70 * 1? | 70 | Multiply: 70 * 1 = 70. | basic_operations |
734,406 | arithmetic | easy | What is 14 + 4 * 40? Remember order of operations. | 174 | Order of operations (PEMDAS): first 4*40=160, then 14+160=174. | basic_operations |
734,407 | word_problems | easy | If you have 54 candies and you buy 45 more candies, how many candies do you have in total? | 99 | Add initial 54 plus bought 45: 54+45=99. | addition_word |
734,408 | statistics | easy | What is the mean (average) of 22, 48, 81? | 50.33 | Mean = sum/count. Sum = 22+48+81=151. Count=3. Mean=151/3=50.33. | mean |
734,409 | fractions | medium | What is 14/10 * 6/11? Give as simplified fraction. | 42/55 | Multiply numerators: 14*6=84. Denominators: 10*11=110. Simplify by gcd 2 to get 42/55. | fraction_operations |
734,410 | roots | easy | What is the square root of 2304? | 48 | Find number that when squared gives 2304. 48*48=2304, so sqrt(2304)=48. | square_roots |
734,411 | word_problems | easy | If you have 27 candies and you buy 21 more candies, how many candies do you have in total? | 48 | Add initial 27 plus bought 21: 27+21=48. | addition_word |
734,412 | 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 |
734,413 | arithmetic | easy | What is 43898 / 94? | 467 | Divide: 43898 ÷ 94 = 467 because 94*467=43898. | division |
734,414 | word_problems | easy | If you have 59 apples and you buy 3 more apples, how many apples do you have in total? | 62 | Add initial 59 plus bought 3: 59+3=62. | addition_word |
734,415 | 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 |
734,416 | arithmetic | easy | What is 798 - 142? | 656 | Subtract: 798 - 142 = 656. | basic_operations |
734,417 | fractions | medium | What is 10/11 * 20/19? Give as simplified fraction. | 200/209 | Multiply numerators: 10*20=200. Denominators: 11*19=209. Simplify by gcd 1 to get 200/209. | fraction_operations |
734,418 | number_theory | medium | What is the GCD (greatest common divisor) of 93 and 95? | 1 | Find greatest number dividing both 93 and 95. Divisors common, greatest is 1. | gcd |
734,419 | 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 |
734,420 | roots | easy | What is the square root of 196? | 14 | Find number that when squared gives 196. 14*14=196, so sqrt(196)=14. | square_roots |
734,421 | statistics | easy | What is the mean (average) of 43, 74, 31? | 49.33 | Mean = sum/count. Sum = 43+74+31=148. Count=3. Mean=148/3=49.33. | mean |
734,422 | arithmetic | easy | What is 51 + 87 * 81? Remember order of operations. | 7098 | Order of operations (PEMDAS): first 87*81=7047, then 51+7047=7098. | basic_operations |
734,423 | algebra | easy | Solve for x: 18x - 37 = 179 | 12 | Add 37 to both sides: 18x = 179+37=216. Then x = 216/18 = 12. | linear_equation |
734,424 | exponents | easy | What is 4^4? | 256 | 4^4 means multiply 4 by itself 4 times: 4*4*4*4 = 256. | exponents |
734,425 | number_theory | medium | What is the GCD (greatest common divisor) of 92 and 58? | 2 | Find greatest number dividing both 92 and 58. Divisors common, greatest is 2. | gcd |
734,426 | arithmetic | easy | What is 1440 / 30? | 48 | Divide: 1440 ÷ 30 = 48 because 30*48=1440. | division |
734,427 | 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 |
734,428 | percentages | easy | What is 29% of 187? | 54.23 | Calculate 29/100 * 187 = 0.29*187 = 54.23. | percentages |
734,429 | calculus | medium | What is the derivative of 3x^7 with respect to x? | 21x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^7] = 3*7*x^6 = 21x^6. | derivative |
734,430 | arithmetic | easy | What is 349 + 411 * 57? Remember order of operations. | 23776 | Order of operations (PEMDAS): first 411*57=23427, then 349+23427=23776. | basic_operations |
734,431 | roots | easy | What is the square root of 9? | 3 | Find number that when squared gives 9. 3*3=9, so sqrt(9)=3. | square_roots |
734,432 | algebra | medium | Solve for x: x^2 + 2x - 15 = 0 | x = 3, -5 | Factor: (x - 3)(x - -5) = x^2 -(-2)x + -15 = 0. So x = 3 or -5. Check sum = -2, product = -15. | quadratic |
734,433 | arithmetic | easy | What is 888 + 900? | 1788 | Add the two numbers: 888 + 900 = 1788. | basic_operations |
734,434 | number_theory | medium | What is the LCM (least common multiple) of 21 and 81? | 567 | LCM = |21*81| / GCD(21,81). GCD=3, so LCM=1701/3=567. | lcm |
734,435 | percentages | easy | What is 66% of 420? | 277.2 | Calculate 66/100 * 420 = 0.66*420 = 277.2. | percentages |
734,436 | percentages | easy | What is 4% of 831? | 33.24 | Calculate 4/100 * 831 = 0.04*831 = 33.24. | percentages |
734,437 | algebra | medium | Solve for x: x^2 + 16x + 60 = 0 | x = -6, -10 | Factor: (x - -6)(x - -10) = x^2 -(-16)x + 60 = 0. So x = -6 or -10. Check sum = -16, product = 60. | quadratic |
734,438 | 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 |
734,439 | arithmetic | easy | What is 242 - 19? | 223 | Subtract: 242 - 19 = 223. | basic_operations |
734,440 | algebra | medium | Solve for x: x^2 + 9x + 14 = 0 | x = -2, -7 | Factor: (x - -2)(x - -7) = x^2 -(-9)x + 14 = 0. So x = -2 or -7. Check sum = -9, product = 14. | quadratic |
734,441 | 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 |
734,442 | arithmetic | easy | What is 23 * 2? | 46 | Multiply: 23 * 2 = 46. | basic_operations |
734,443 | arithmetic | easy | What is 15246 / 66? | 231 | Divide: 15246 ÷ 66 = 231 because 66*231=15246. | division |
734,444 | algebra | easy | Solve for x: 17x - 10 = -163 | -9 | Add 10 to both sides: 17x = -163+10=-153. Then x = -153/17 = -9. | linear_equation |
734,445 | calculus | medium | What is the derivative of 9x^4 with respect to x? | 36x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^4] = 9*4*x^3 = 36x^3. | derivative |
734,446 | statistics | easy | What is the mean (average) of 30, 38, 34, 17, 68? | 37.4 | Mean = sum/count. Sum = 30+38+34+17+68=187. Count=5. Mean=187/5=37.4. | mean |
734,447 | arithmetic | easy | What is 801 - 1? | 800 | Subtract: 801 - 1 = 800. | basic_operations |
734,448 | percentages | easy | What is 14% of 466? | 65.24 | Calculate 14/100 * 466 = 0.14*466 = 65.24. | percentages |
734,449 | word_problems | easy | If you have 52 dollars and you buy 45 more dollars, how many dollars do you have in total? | 97 | Add initial 52 plus bought 45: 52+45=97. | addition_word |
734,450 | word_problems | easy | If you have 10 pencils and you buy 4 more pencils, how many pencils do you have in total? | 14 | Add initial 10 plus bought 4: 10+4=14. | addition_word |
734,451 | number_theory | medium | What is the GCD (greatest common divisor) of 71 and 54? | 1 | Find greatest number dividing both 71 and 54. Divisors common, greatest is 1. | gcd |
734,452 | 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 |
734,453 | 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 |
734,454 | algebra | medium | Solve for x: x^2 - 10x + 9 = 0 | x = 9, 1 | Factor: (x - 9)(x - 1) = x^2 -(10)x + 9 = 0. So x = 9 or 1. Check sum = 10, product = 9. | quadratic |
734,455 | algebra | easy | Solve for x: 2x - 27 = -13 | 7 | Add 27 to both sides: 2x = -13+27=14. Then x = 14/2 = 7. | linear_equation |
734,456 | arithmetic | easy | What is 14508 / 39? | 372 | Divide: 14508 ÷ 39 = 372 because 39*372=14508. | division |
734,457 | arithmetic | easy | What is 734 - 269? | 465 | Subtract: 734 - 269 = 465. | basic_operations |
734,458 | arithmetic | easy | What is 823 + 510 * 14? Remember order of operations. | 7963 | Order of operations (PEMDAS): first 510*14=7140, then 823+7140=7963. | basic_operations |
734,459 | geometry | easy | Find the perimeter of a rectangle with length 82 and width 60. | 284 | Perimeter = 2*(length+width) = 2*(82+60) = 2*142 = 284. | rectangle_perim |
734,460 | number_theory | medium | What is the GCD (greatest common divisor) of 15 and 51? | 3 | Find greatest number dividing both 15 and 51. Divisors common, greatest is 3. | gcd |
734,461 | geometry | easy | Find the area of a circle with radius 19. Use pi=3.14159, round to 2 decimals. | 1134.11 | Area = pi*r^2 = 3.14159*19^2 = 3.14159*361 = 1134.11. | circle_area |
734,462 | exponents | easy | What is 12^5? | 248832 | 12^5 means multiply 12 by itself 5 times: 12*12*12*12*12 = 248832. | exponents |
734,463 | arithmetic | easy | What is 18 * 98? | 1764 | Multiply: 18 * 98 = 1764. | basic_operations |
734,464 | arithmetic | easy | What is 57 * 14? | 798 | Multiply: 57 * 14 = 798. | basic_operations |
734,465 | fractions | medium | What is 15/13 * 9/9? Give as simplified fraction. | 15/13 | Multiply numerators: 15*9=135. Denominators: 13*9=117. Simplify by gcd 9 to get 15/13. | fraction_operations |
734,466 | roots | easy | What is the square root of 625? | 25 | Find number that when squared gives 625. 25*25=625, so sqrt(625)=25. | square_roots |
734,467 | number_theory | medium | What is the LCM (least common multiple) of 14 and 92? | 644 | LCM = |14*92| / GCD(14,92). GCD=2, so LCM=1288/2=644. | lcm |
734,468 | geometry | easy | Find the area of a circle with radius 20. Use pi=3.14159, round to 2 decimals. | 1256.64 | Area = pi*r^2 = 3.14159*20^2 = 3.14159*400 = 1256.64. | circle_area |
734,469 | exponents | easy | What is 10^4? | 10000 | 10^4 means multiply 10 by itself 4 times: 10*10*10*10 = 10000. | exponents |
734,470 | 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 |
734,471 | exponents | easy | What is 10^5? | 100000 | 10^5 means multiply 10 by itself 5 times: 10*10*10*10*10 = 100000. | exponents |
734,472 | word_problems | easy | If you have 81 dollars and you buy 19 more dollars, how many dollars do you have in total? | 100 | Add initial 81 plus bought 19: 81+19=100. | addition_word |
734,473 | arithmetic | easy | What is 255 + 46? | 301 | Add the two numbers: 255 + 46 = 301. | basic_operations |
734,474 | arithmetic | easy | What is 406 + 566? | 972 | Add the two numbers: 406 + 566 = 972. | basic_operations |
734,475 | arithmetic | easy | What is 873 + 926 * 10? Remember order of operations. | 10133 | Order of operations (PEMDAS): first 926*10=9260, then 873+9260=10133. | basic_operations |
734,476 | arithmetic | easy | What is 668 + 286 * 43? Remember order of operations. | 12966 | Order of operations (PEMDAS): first 286*43=12298, then 668+12298=12966. | basic_operations |
734,477 | arithmetic | easy | What is 69 * 59? | 4071 | Multiply: 69 * 59 = 4071. | basic_operations |
734,478 | algebra | medium | Solve for x: x^2 + 10x + 24 = 0 | x = -6, -4 | Factor: (x - -6)(x - -4) = x^2 -(-10)x + 24 = 0. So x = -6 or -4. Check sum = -10, product = 24. | quadratic |
734,479 | statistics | easy | What is the mean (average) of 70, 28, 44, 40, 18? | 40 | Mean = sum/count. Sum = 70+28+44+40+18=200. Count=5. Mean=200/5=40.0. | mean |
734,480 | arithmetic | easy | What is 556 - 95? | 461 | Subtract: 556 - 95 = 461. | basic_operations |
734,481 | percentages | easy | What is 38% of 709? | 269.42 | Calculate 38/100 * 709 = 0.38*709 = 269.42. | percentages |
734,482 | arithmetic | easy | What is 919 - 577? | 342 | Subtract: 919 - 577 = 342. | basic_operations |
734,483 | roots | easy | What is the square root of 1849? | 43 | Find number that when squared gives 1849. 43*43=1849, so sqrt(1849)=43. | square_roots |
734,484 | fractions | medium | What is 9/16 * 4/19? Give as simplified fraction. | 9/76 | Multiply numerators: 9*4=36. Denominators: 16*19=304. Simplify by gcd 4 to get 9/76. | fraction_operations |
734,485 | fractions | medium | What is 8/16 * 11/14? Give as simplified fraction. | 11/28 | Multiply numerators: 8*11=88. Denominators: 16*14=224. Simplify by gcd 8 to get 11/28. | fraction_operations |
734,486 | algebra | easy | Solve for x: 14x + 21 = -189 | -15 | Subtract 21 from both sides: 14x = -189-21=-210. Then divide by 14: x = -210/14 = -15. | linear_equation |
734,487 | arithmetic | easy | What is 552 + 233? | 785 | Add the two numbers: 552 + 233 = 785. | basic_operations |
734,488 | geometry | easy | Find the area of a triangle with base 7 and height 81. | 283.5 | Area = 0.5*base*height = 0.5*7*81 = 283.5. | triangle_area |
734,489 | statistics | easy | What is the mean (average) of 79, 96, 42, 72? | 72.25 | Mean = sum/count. Sum = 79+96+42+72=289. Count=4. Mean=289/4=72.25. | mean |
734,490 | arithmetic | easy | What is 722 - 75? | 647 | Subtract: 722 - 75 = 647. | basic_operations |
734,491 | percentages | easy | What is 19% of 118? | 22.42 | Calculate 19/100 * 118 = 0.19*118 = 22.42. | percentages |
734,492 | word_problems | easy | If you have 35 apples and you buy 38 more apples, how many apples do you have in total? | 73 | Add initial 35 plus bought 38: 35+38=73. | addition_word |
734,493 | word_problems | easy | If you have 49 apples and you buy 2 more apples, how many apples do you have in total? | 51 | Add initial 49 plus bought 2: 49+2=51. | addition_word |
734,494 | statistics | easy | What is the mean (average) of 38, 71, 33? | 47.33 | Mean = sum/count. Sum = 38+71+33=142. Count=3. Mean=142/3=47.33. | mean |
734,495 | arithmetic | easy | What is 679 - 556? | 123 | Subtract: 679 - 556 = 123. | basic_operations |
734,496 | exponents | easy | What is 4^3? | 64 | 4^3 means multiply 4 by itself 3 times: 4*4*4 = 64. | exponents |
734,497 | exponents | easy | What is 8^5? | 32768 | 8^5 means multiply 8 by itself 5 times: 8*8*8*8*8 = 32768. | exponents |
734,498 | arithmetic | easy | What is 61 + 22 * 87? Remember order of operations. | 1975 | Order of operations (PEMDAS): first 22*87=1914, then 61+1914=1975. | basic_operations |
734,499 | arithmetic | easy | What is 772 - 440? | 332 | Subtract: 772 - 440 = 332. | basic_operations |
734,500 | arithmetic | easy | What is 327 + 347? | 674 | Add the two numbers: 327 + 347 = 674. | basic_operations |
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