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 |
|---|---|---|---|---|---|---|
10,601 | arithmetic | easy | What is 666 - 253? | 413 | Subtract: 666 - 253 = 413. | basic_operations |
10,602 | roots | easy | What is the square root of 1444? | 38 | Find number that when squared gives 1444. 38*38=1444, so sqrt(1444)=38. | square_roots |
10,603 | geometry | easy | Find the area of a circle with radius 1. Use pi=3.14159, round to 2 decimals. | 3.14 | Area = pi*r^2 = 3.14159*1^2 = 3.14159*1 = 3.14. | circle_area |
10,604 | fractions | medium | What is 7/17 * 20/3? Give as simplified fraction. | 140/51 | Multiply numerators: 7*20=140. Denominators: 17*3=51. Simplify by gcd 1 to get 140/51. | fraction_operations |
10,605 | algebra | medium | Solve for x: x^2 - 7x - 18 = 0 | x = 9, -2 | Factor: (x - 9)(x - -2) = x^2 -(7)x + -18 = 0. So x = 9 or -2. Check sum = 7, product = -18. | quadratic |
10,606 | arithmetic | easy | What is 853 + 231 * 63? Remember order of operations. | 15406 | Order of operations (PEMDAS): first 231*63=14553, then 853+14553=15406. | basic_operations |
10,607 | fractions | medium | What is 4/8 * 5/10? Give as simplified fraction. | 1/4 | Multiply numerators: 4*5=20. Denominators: 8*10=80. Simplify by gcd 20 to get 1/4. | fraction_operations |
10,608 | roots | easy | What is the square root of 81? | 9 | Find number that when squared gives 81. 9*9=81, so sqrt(81)=9. | square_roots |
10,609 | word_problems | easy | If you have 93 candies and you buy 22 more candies, how many candies do you have in total? | 115 | Add initial 93 plus bought 22: 93+22=115. | addition_word |
10,610 | word_problems | easy | If you have 17 dollars and you buy 38 more dollars, how many dollars do you have in total? | 55 | Add initial 17 plus bought 38: 17+38=55. | addition_word |
10,611 | arithmetic | easy | What is 833 + 826 * 94? Remember order of operations. | 78477 | Order of operations (PEMDAS): first 826*94=77644, then 833+77644=78477. | basic_operations |
10,612 | calculus | medium | What is the derivative of 8x^6 with respect to x? | 48x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^6] = 8*6*x^5 = 48x^5. | derivative |
10,613 | arithmetic | easy | What is 468 + 809? | 1277 | Add the two numbers: 468 + 809 = 1277. | basic_operations |
10,614 | calculus | medium | What is the derivative of 3x^4 with respect to x? | 12x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^4] = 3*4*x^3 = 12x^3. | derivative |
10,615 | exponents | easy | What is 11^4? | 14641 | 11^4 means multiply 11 by itself 4 times: 11*11*11*11 = 14641. | exponents |
10,616 | arithmetic | easy | What is 77 + 65 * 21? Remember order of operations. | 1442 | Order of operations (PEMDAS): first 65*21=1365, then 77+1365=1442. | basic_operations |
10,617 | algebra | medium | Solve for x: x^2 + 18x + 80 = 0 | x = -10, -8 | Factor: (x - -10)(x - -8) = x^2 -(-18)x + 80 = 0. So x = -10 or -8. Check sum = -18, product = 80. | quadratic |
10,618 | 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 |
10,619 | geometry | easy | Find the area of a triangle with base 60 and height 57. | 1710 | Area = 0.5*base*height = 0.5*60*57 = 1710. | triangle_area |
10,620 | statistics | easy | What is the mean (average) of 35, 74, 12, 32? | 38.25 | Mean = sum/count. Sum = 35+74+12+32=153. Count=4. Mean=153/4=38.25. | mean |
10,621 | calculus | medium | What is the derivative of 2x^7 with respect to x? | 14x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^7] = 2*7*x^6 = 14x^6. | derivative |
10,622 | 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 |
10,623 | number_theory | medium | What is the LCM (least common multiple) of 57 and 53? | 3021 | LCM = |57*53| / GCD(57,53). GCD=1, so LCM=3021/1=3021. | lcm |
10,624 | algebra | easy | Solve for x: 17x - 29 = -233 | -12 | Add 29 to both sides: 17x = -233+29=-204. Then x = -204/17 = -12. | linear_equation |
10,625 | 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 |
10,626 | 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 |
10,627 | geometry | easy | Find the area of a triangle with base 86 and height 4. | 172 | Area = 0.5*base*height = 0.5*86*4 = 172. | triangle_area |
10,628 | algebra | easy | Solve for x: 19x - 11 = 274 | 15 | Add 11 to both sides: 19x = 274+11=285. Then x = 285/19 = 15. | linear_equation |
10,629 | geometry | easy | Find the area of a triangle with base 100 and height 38. | 1900 | Area = 0.5*base*height = 0.5*100*38 = 1900. | triangle_area |
10,630 | fractions | medium | What is 9/12 - 15/17? Give as simplified fraction. | -9/68 | Common denominator 204. Numerator 153-180=-27. So -27/204 simplifies to -9/68. | fraction_operations |
10,631 | calculus | medium | What is the derivative of 4x^2 with respect to x? | 8x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^2] = 4*2*x^1 = 8x. | derivative |
10,632 | 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 |
10,633 | roots | easy | What is the square root of 4? | 2 | Find number that when squared gives 4. 2*2=4, so sqrt(4)=2. | square_roots |
10,634 | arithmetic | easy | What is 725 + 917? | 1642 | Add the two numbers: 725 + 917 = 1642. | basic_operations |
10,635 | number_theory | medium | What is the LCM (least common multiple) of 93 and 52? | 4836 | LCM = |93*52| / GCD(93,52). GCD=1, so LCM=4836/1=4836. | lcm |
10,636 | fractions | medium | What is 5/8 * 19/13? Give as simplified fraction. | 95/104 | Multiply numerators: 5*19=95. Denominators: 8*13=104. Simplify by gcd 1 to get 95/104. | fraction_operations |
10,637 | fractions | medium | What is 13/2 - 4/20? Give as simplified fraction. | 63/10 | Common denominator 40. Numerator 260-8=252. So 252/40 simplifies to 63/10. | fraction_operations |
10,638 | arithmetic | easy | What is 158 + 653? | 811 | Add the two numbers: 158 + 653 = 811. | basic_operations |
10,639 | arithmetic | easy | What is 28981 / 73? | 397 | Divide: 28981 ÷ 73 = 397 because 73*397=28981. | division |
10,640 | 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 |
10,641 | statistics | easy | What is the mean (average) of 6, 57, 18, 1, 86? | 33.6 | Mean = sum/count. Sum = 6+57+18+1+86=168. Count=5. Mean=168/5=33.6. | mean |
10,642 | algebra | easy | Solve for x: 1x - 22 = -2 | 20 | Add 22 to both sides: 1x = -2+22=20. Then x = 20/1 = 20. | linear_equation |
10,643 | fractions | medium | What is 18/19 + 4/4? Give as simplified fraction. | 37/19 | Common denominator 19*4=76. 18/19=72/76, 4/4=76/76. Sum = 148/76 = 37/19 simplified. | fraction_operations |
10,644 | arithmetic | easy | What is 55 * 51? | 2805 | Multiply: 55 * 51 = 2805. | basic_operations |
10,645 | 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 |
10,646 | word_problems | easy | If you have 25 books and you buy 2 more books, how many books do you have in total? | 27 | Add initial 25 plus bought 2: 25+2=27. | addition_word |
10,647 | word_problems | easy | If you have 33 dollars and you buy 19 more dollars, how many dollars do you have in total? | 52 | Add initial 33 plus bought 19: 33+19=52. | addition_word |
10,648 | percentages | easy | What is 49% of 371? | 181.79 | Calculate 49/100 * 371 = 0.49*371 = 181.79. | percentages |
10,649 | 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 |
10,650 | arithmetic | easy | What is 81 + 90 * 13? Remember order of operations. | 1251 | Order of operations (PEMDAS): first 90*13=1170, then 81+1170=1251. | basic_operations |
10,651 | 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 |
10,652 | statistics | easy | What is the mean (average) of 25, 76, 53, 63? | 54.25 | Mean = sum/count. Sum = 25+76+53+63=217. Count=4. Mean=217/4=54.25. | mean |
10,653 | statistics | easy | What is the mean (average) of 41, 34, 51? | 42 | Mean = sum/count. Sum = 41+34+51=126. Count=3. Mean=126/3=42.0. | mean |
10,654 | word_problems | easy | If you have 30 books and you buy 39 more books, how many books do you have in total? | 69 | Add initial 30 plus bought 39: 30+39=69. | addition_word |
10,655 | arithmetic | easy | What is 1 * 76? | 76 | Multiply: 1 * 76 = 76. | basic_operations |
10,656 | roots | easy | What is the square root of 324? | 18 | Find number that when squared gives 324. 18*18=324, so sqrt(324)=18. | square_roots |
10,657 | 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 |
10,658 | statistics | easy | What is the mean (average) of 31, 92, 85, 7, 97? | 62.4 | Mean = sum/count. Sum = 31+92+85+7+97=312. Count=5. Mean=312/5=62.4. | mean |
10,659 | number_theory | medium | What is the LCM (least common multiple) of 67 and 65? | 4355 | LCM = |67*65| / GCD(67,65). GCD=1, so LCM=4355/1=4355. | lcm |
10,660 | arithmetic | easy | What is 3924 / 9? | 436 | Divide: 3924 ÷ 9 = 436 because 9*436=3924. | division |
10,661 | fractions | medium | What is 4/6 - 19/7? Give as simplified fraction. | -43/21 | Common denominator 42. Numerator 28-114=-86. So -86/42 simplifies to -43/21. | fraction_operations |
10,662 | 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 |
10,663 | roots | easy | What is the square root of 324? | 18 | Find number that when squared gives 324. 18*18=324, so sqrt(324)=18. | square_roots |
10,664 | statistics | easy | What is the mean (average) of 7, 88, 5, 73, 42? | 43 | Mean = sum/count. Sum = 7+88+5+73+42=215. Count=5. Mean=215/5=43.0. | mean |
10,665 | arithmetic | easy | What is 314 - 15? | 299 | Subtract: 314 - 15 = 299. | basic_operations |
10,666 | 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 |
10,667 | word_problems | easy | If you have 98 apples and you buy 1 more apples, how many apples do you have in total? | 99 | Add initial 98 plus bought 1: 98+1=99. | addition_word |
10,668 | arithmetic | easy | What is 8 * 5? | 40 | Multiply: 8 * 5 = 40. | basic_operations |
10,669 | roots | easy | What is the square root of 289? | 17 | Find number that when squared gives 289. 17*17=289, so sqrt(289)=17. | square_roots |
10,670 | calculus | medium | What is the derivative of 4x^5 with respect to x? | 20x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^5] = 4*5*x^4 = 20x^4. | derivative |
10,671 | exponents | easy | What is 9^4? | 6561 | 9^4 means multiply 9 by itself 4 times: 9*9*9*9 = 6561. | exponents |
10,672 | percentages | easy | What is 52% of 772? | 401.44 | Calculate 52/100 * 772 = 0.52*772 = 401.44. | percentages |
10,673 | percentages | easy | What is 74% of 652? | 482.48 | Calculate 74/100 * 652 = 0.74*652 = 482.48. | percentages |
10,674 | arithmetic | easy | What is 568 + 619 * 36? Remember order of operations. | 22852 | Order of operations (PEMDAS): first 619*36=22284, then 568+22284=22852. | basic_operations |
10,675 | roots | easy | What is the square root of 1369? | 37 | Find number that when squared gives 1369. 37*37=1369, so sqrt(1369)=37. | square_roots |
10,676 | calculus | medium | What is the derivative of 2x^5 with respect to x? | 10x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^5] = 2*5*x^4 = 10x^4. | derivative |
10,677 | percentages | easy | What is 19% of 112? | 21.28 | Calculate 19/100 * 112 = 0.19*112 = 21.28. | percentages |
10,678 | fractions | medium | What is 1/13 * 10/6? Give as simplified fraction. | 5/39 | Multiply numerators: 1*10=10. Denominators: 13*6=78. Simplify by gcd 2 to get 5/39. | fraction_operations |
10,679 | geometry | easy | Find the perimeter of a rectangle with length 46 and width 81. | 254 | Perimeter = 2*(length+width) = 2*(46+81) = 2*127 = 254. | rectangle_perim |
10,680 | arithmetic | easy | What is 6 * 26? | 156 | Multiply: 6 * 26 = 156. | basic_operations |
10,681 | exponents | easy | What is 2^4? | 16 | 2^4 means multiply 2 by itself 4 times: 2*2*2*2 = 16. | exponents |
10,682 | algebra | medium | Solve for x: x^2 - 7x - 8 = 0 | x = 8, -1 | Factor: (x - 8)(x - -1) = x^2 -(7)x + -8 = 0. So x = 8 or -1. Check sum = 7, product = -8. | quadratic |
10,683 | arithmetic | easy | What is 58 * 80? | 4640 | Multiply: 58 * 80 = 4640. | basic_operations |
10,684 | arithmetic | easy | What is 747 + 700 * 30? Remember order of operations. | 21747 | Order of operations (PEMDAS): first 700*30=21000, then 747+21000=21747. | basic_operations |
10,685 | word_problems | easy | If you have 91 candies and you buy 27 more candies, how many candies do you have in total? | 118 | Add initial 91 plus bought 27: 91+27=118. | addition_word |
10,686 | 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 |
10,687 | arithmetic | easy | What is 68 * 74? | 5032 | Multiply: 68 * 74 = 5032. | basic_operations |
10,688 | arithmetic | easy | What is 916 + 207 * 100? Remember order of operations. | 21616 | Order of operations (PEMDAS): first 207*100=20700, then 916+20700=21616. | basic_operations |
10,689 | fractions | medium | What is 19/17 * 18/8? Give as simplified fraction. | 171/68 | Multiply numerators: 19*18=342. Denominators: 17*8=136. Simplify by gcd 2 to get 171/68. | fraction_operations |
10,690 | word_problems | easy | If you have 41 books and you buy 19 more books, how many books do you have in total? | 60 | Add initial 41 plus bought 19: 41+19=60. | addition_word |
10,691 | arithmetic | easy | What is 541 + 103? | 644 | Add the two numbers: 541 + 103 = 644. | basic_operations |
10,692 | algebra | medium | Solve for x: x^2 - 4x - 32 = 0 | x = 8, -4 | Factor: (x - 8)(x - -4) = x^2 -(4)x + -32 = 0. So x = 8 or -4. Check sum = 4, product = -32. | quadratic |
10,693 | word_problems | easy | If you have 95 books and you buy 1 more books, how many books do you have in total? | 96 | Add initial 95 plus bought 1: 95+1=96. | addition_word |
10,694 | 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 |
10,695 | percentages | easy | What is 66% of 171? | 112.86 | Calculate 66/100 * 171 = 0.66*171 = 112.86. | percentages |
10,696 | arithmetic | easy | What is 484 - 126? | 358 | Subtract: 484 - 126 = 358. | basic_operations |
10,697 | 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 |
10,698 | percentages | easy | What is 29% of 845? | 245.05 | Calculate 29/100 * 845 = 0.29*845 = 245.05. | percentages |
10,699 | arithmetic | easy | What is 4595 divided by 11? Give answer to 2 decimal places. | 417.73 | Calculate 4595/ 11 = 417.7273, rounded to 2 decimals is 417.73. | division |
10,700 | arithmetic | easy | What is 449 - 350? | 99 | Subtract: 449 - 350 = 99. | basic_operations |
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