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 |
|---|---|---|---|---|---|---|
7,601 | word_problems | easy | If you have 43 dollars and you buy 18 more dollars, how many dollars do you have in total? | 61 | Add initial 43 plus bought 18: 43+18=61. | addition_word |
7,602 | word_problems | easy | If you have 64 books and you buy 28 more books, how many books do you have in total? | 92 | Add initial 64 plus bought 28: 64+28=92. | addition_word |
7,603 | 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 |
7,604 | 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 |
7,605 | word_problems | easy | If you have 73 apples and you buy 21 more apples, how many apples do you have in total? | 94 | Add initial 73 plus bought 21: 73+21=94. | addition_word |
7,606 | statistics | easy | What is the mean (average) of 34, 64, 99, 48? | 61.25 | Mean = sum/count. Sum = 34+64+99+48=245. Count=4. Mean=245/4=61.25. | mean |
7,607 | geometry | easy | Find the area of a circle with radius 42. Use pi=3.14159, round to 2 decimals. | 5541.77 | Area = pi*r^2 = 3.14159*42^2 = 3.14159*1764 = 5541.77. | circle_area |
7,608 | percentages | easy | What is 37% of 860? | 318.2 | Calculate 37/100 * 860 = 0.37*860 = 318.2. | percentages |
7,609 | 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 |
7,610 | number_theory | medium | What is the LCM (least common multiple) of 25 and 58? | 1450 | LCM = |25*58| / GCD(25,58). GCD=1, so LCM=1450/1=1450. | lcm |
7,611 | geometry | easy | Find the area of a rectangle with length 97 and width 31. | 3007 | Area = length * width = 97*31 = 3007. | rectangle_area |
7,612 | statistics | easy | What is the mean (average) of 60, 54, 72, 61? | 61.75 | Mean = sum/count. Sum = 60+54+72+61=247. Count=4. Mean=247/4=61.75. | mean |
7,613 | exponents | easy | What is 2^4? | 16 | 2^4 means multiply 2 by itself 4 times: 2*2*2*2 = 16. | exponents |
7,614 | algebra | easy | Solve for x: 1x + 11 = 17 | 6 | Subtract 11 from both sides: 1x = 17-11=6. Then divide by 1: x = 6/1 = 6. | linear_equation |
7,615 | word_problems | easy | If you have 50 dollars and you buy 6 more dollars, how many dollars do you have in total? | 56 | Add initial 50 plus bought 6: 50+6=56. | addition_word |
7,616 | word_problems | easy | If you have 49 dollars and you buy 13 more dollars, how many dollars do you have in total? | 62 | Add initial 49 plus bought 13: 49+13=62. | addition_word |
7,617 | arithmetic | easy | What is 325 - 78? | 247 | Subtract: 325 - 78 = 247. | basic_operations |
7,618 | fractions | medium | What is 2/20 * 2/3? Give as simplified fraction. | 1/15 | Multiply numerators: 2*2=4. Denominators: 20*3=60. Simplify by gcd 4 to get 1/15. | fraction_operations |
7,619 | arithmetic | easy | What is 5 * 53? | 265 | Multiply: 5 * 53 = 265. | basic_operations |
7,620 | number_theory | medium | What is the GCD (greatest common divisor) of 93 and 65? | 1 | Find greatest number dividing both 93 and 65. Divisors common, greatest is 1. | gcd |
7,621 | percentages | easy | What is 96% of 298? | 286.08 | Calculate 96/100 * 298 = 0.96*298 = 286.08. | percentages |
7,622 | geometry | easy | Find the area of a circle with radius 16. Use pi=3.14159, round to 2 decimals. | 804.25 | Area = pi*r^2 = 3.14159*16^2 = 3.14159*256 = 804.25. | circle_area |
7,623 | roots | easy | What is the square root of 1764? | 42 | Find number that when squared gives 1764. 42*42=1764, so sqrt(1764)=42. | square_roots |
7,624 | 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 |
7,625 | percentages | easy | What is 44% of 977? | 429.88 | Calculate 44/100 * 977 = 0.44*977 = 429.88. | percentages |
7,626 | algebra | medium | Solve for x: x^2 + 10x + 24 = 0 | x = -4, -6 | Factor: (x - -4)(x - -6) = x^2 -(-10)x + 24 = 0. So x = -4 or -6. Check sum = -10, product = 24. | quadratic |
7,627 | 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 |
7,628 | arithmetic | easy | What is 647 + 700? | 1347 | Add the two numbers: 647 + 700 = 1347. | basic_operations |
7,629 | arithmetic | easy | What is 95 + 11 * 4? Remember order of operations. | 139 | Order of operations (PEMDAS): first 11*4=44, then 95+44=139. | basic_operations |
7,630 | percentages | easy | What is 40% of 599? | 239.6 | Calculate 40/100 * 599 = 0.4*599 = 239.6. | percentages |
7,631 | number_theory | medium | What is the GCD (greatest common divisor) of 54 and 10? | 2 | Find greatest number dividing both 54 and 10. Divisors common, greatest is 2. | gcd |
7,632 | calculus | medium | What is the derivative of 6x^8 with respect to x? | 48x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^8] = 6*8*x^7 = 48x^7. | derivative |
7,633 | arithmetic | easy | What is 41 + 65 * 14? Remember order of operations. | 951 | Order of operations (PEMDAS): first 65*14=910, then 41+910=951. | basic_operations |
7,634 | word_problems | easy | If you have 40 candies and you buy 26 more candies, how many candies do you have in total? | 66 | Add initial 40 plus bought 26: 40+26=66. | addition_word |
7,635 | arithmetic | easy | What is 748 - 320? | 428 | Subtract: 748 - 320 = 428. | basic_operations |
7,636 | arithmetic | easy | What is 53 * 66? | 3498 | Multiply: 53 * 66 = 3498. | basic_operations |
7,637 | arithmetic | easy | What is 75 * 53? | 3975 | Multiply: 75 * 53 = 3975. | basic_operations |
7,638 | calculus | medium | What is the derivative of 3x^6 with respect to x? | 18x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^6] = 3*6*x^5 = 18x^5. | derivative |
7,639 | arithmetic | easy | What is 759 + 382? | 1141 | Add the two numbers: 759 + 382 = 1141. | basic_operations |
7,640 | 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 |
7,641 | number_theory | medium | What is the GCD (greatest common divisor) of 3 and 68? | 1 | Find greatest number dividing both 3 and 68. Divisors common, greatest is 1. | gcd |
7,642 | geometry | easy | Find the perimeter of a rectangle with length 90 and width 30. | 240 | Perimeter = 2*(length+width) = 2*(90+30) = 2*120 = 240. | rectangle_perim |
7,643 | percentages | easy | What is 1% of 748? | 7.48 | Calculate 1/100 * 748 = 0.01*748 = 7.48. | percentages |
7,644 | algebra | medium | Solve for x: x^2 - 3x - 40 = 0 | x = 8, -5 | Factor: (x - 8)(x - -5) = x^2 -(3)x + -40 = 0. So x = 8 or -5. Check sum = 3, product = -40. | quadratic |
7,645 | statistics | easy | What is the mean (average) of 37, 3, 41, 36? | 29.25 | Mean = sum/count. Sum = 37+3+41+36=117. Count=4. Mean=117/4=29.25. | mean |
7,646 | statistics | easy | What is the mean (average) of 31, 80, 69, 55, 23? | 51.6 | Mean = sum/count. Sum = 31+80+69+55+23=258. Count=5. Mean=258/5=51.6. | mean |
7,647 | algebra | easy | Solve for x: 3x - 18 = -69 | -17 | Add 18 to both sides: 3x = -69+18=-51. Then x = -51/3 = -17. | linear_equation |
7,648 | number_theory | medium | What is the GCD (greatest common divisor) of 9 and 28? | 1 | Find greatest number dividing both 9 and 28. Divisors common, greatest is 1. | gcd |
7,649 | calculus | medium | What is the derivative of 1x^5 with respect to x? | 5x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^5] = 1*5*x^4 = 5x^4. | derivative |
7,650 | exponents | easy | What is 9^4? | 6561 | 9^4 means multiply 9 by itself 4 times: 9*9*9*9 = 6561. | exponents |
7,651 | word_problems | easy | If you have 36 pencils and you buy 14 more pencils, how many pencils do you have in total? | 50 | Add initial 36 plus bought 14: 36+14=50. | addition_word |
7,652 | arithmetic | easy | What is 65 + 44 * 94? Remember order of operations. | 4201 | Order of operations (PEMDAS): first 44*94=4136, then 65+4136=4201. | basic_operations |
7,653 | word_problems | easy | If you have 43 books and you buy 20 more books, how many books do you have in total? | 63 | Add initial 43 plus bought 20: 43+20=63. | addition_word |
7,654 | arithmetic | easy | What is 336 + 193 * 78? Remember order of operations. | 15390 | Order of operations (PEMDAS): first 193*78=15054, then 336+15054=15390. | basic_operations |
7,655 | arithmetic | easy | What is 22 + 93 * 96? Remember order of operations. | 8950 | Order of operations (PEMDAS): first 93*96=8928, then 22+8928=8950. | basic_operations |
7,656 | statistics | easy | What is the mean (average) of 29, 46, 11, 69, 96? | 50.2 | Mean = sum/count. Sum = 29+46+11+69+96=251. Count=5. Mean=251/5=50.2. | mean |
7,657 | 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 |
7,658 | exponents | easy | What is 9^5? | 59049 | 9^5 means multiply 9 by itself 5 times: 9*9*9*9*9 = 59049. | exponents |
7,659 | exponents | easy | What is 3^3? | 27 | 3^3 means multiply 3 by itself 3 times: 3*3*3 = 27. | exponents |
7,660 | arithmetic | easy | What is 993 + 209? | 1202 | Add the two numbers: 993 + 209 = 1202. | basic_operations |
7,661 | fractions | medium | What is 1/6 - 12/18? Give as simplified fraction. | -1/2 | Common denominator 108. Numerator 18-72=-54. So -54/108 simplifies to -1/2. | fraction_operations |
7,662 | fractions | medium | What is 9/15 + 11/19? Give as simplified fraction. | 112/95 | Common denominator 15*19=285. 9/15=171/285, 11/19=165/285. Sum = 336/285 = 112/95 simplified. | fraction_operations |
7,663 | number_theory | medium | What is the LCM (least common multiple) of 27 and 80? | 2160 | LCM = |27*80| / GCD(27,80). GCD=1, so LCM=2160/1=2160. | lcm |
7,664 | algebra | medium | Solve for x: x^2 + 2x - 35 = 0 | x = -7, 5 | Factor: (x - -7)(x - 5) = x^2 -(-2)x + -35 = 0. So x = -7 or 5. Check sum = -2, product = -35. | quadratic |
7,665 | roots | easy | What is the square root of 484? | 22 | Find number that when squared gives 484. 22*22=484, so sqrt(484)=22. | square_roots |
7,666 | arithmetic | easy | What is 829 - 592? | 237 | Subtract: 829 - 592 = 237. | basic_operations |
7,667 | arithmetic | easy | What is 939 - 175? | 764 | Subtract: 939 - 175 = 764. | basic_operations |
7,668 | arithmetic | easy | What is 11800 / 50? | 236 | Divide: 11800 ÷ 50 = 236 because 50*236=11800. | division |
7,669 | fractions | medium | What is 18/8 + 4/20? Give as simplified fraction. | 49/20 | Common denominator 8*20=160. 18/8=360/160, 4/20=32/160. Sum = 392/160 = 49/20 simplified. | fraction_operations |
7,670 | exponents | easy | What is 10^2? | 100 | 10^2 means multiply 10 by itself 2 times: 10*10 = 100. | exponents |
7,671 | arithmetic | easy | What is 9 * 34? | 306 | Multiply: 9 * 34 = 306. | basic_operations |
7,672 | fractions | medium | What is 9/6 - 20/7? Give as simplified fraction. | -19/14 | Common denominator 42. Numerator 63-120=-57. So -57/42 simplifies to -19/14. | fraction_operations |
7,673 | algebra | medium | Solve for x: x^2 - 2x - 63 = 0 | x = -7, 9 | Factor: (x - -7)(x - 9) = x^2 -(2)x + -63 = 0. So x = -7 or 9. Check sum = 2, product = -63. | quadratic |
7,674 | number_theory | medium | What is the GCD (greatest common divisor) of 74 and 60? | 2 | Find greatest number dividing both 74 and 60. Divisors common, greatest is 2. | gcd |
7,675 | arithmetic | easy | What is 861 + 602 * 95? Remember order of operations. | 58051 | Order of operations (PEMDAS): first 602*95=57190, then 861+57190=58051. | basic_operations |
7,676 | roots | easy | What is the square root of 100? | 10 | Find number that when squared gives 100. 10*10=100, so sqrt(100)=10. | square_roots |
7,677 | statistics | easy | What is the mean (average) of 38, 12, 12? | 20.67 | Mean = sum/count. Sum = 38+12+12=62. Count=3. Mean=62/3=20.67. | mean |
7,678 | exponents | easy | What is 8^2? | 64 | 8^2 means multiply 8 by itself 2 times: 8*8 = 64. | exponents |
7,679 | fractions | medium | What is 8/4 - 11/13? Give as simplified fraction. | 15/13 | Common denominator 52. Numerator 104-44=60. So 60/52 simplifies to 15/13. | fraction_operations |
7,680 | fractions | medium | What is 2/4 + 11/9? Give as simplified fraction. | 31/18 | Common denominator 4*9=36. 2/4=18/36, 11/9=44/36. Sum = 62/36 = 31/18 simplified. | fraction_operations |
7,681 | fractions | medium | What is 2/11 - 10/2? Give as simplified fraction. | -53/11 | Common denominator 22. Numerator 4-110=-106. So -106/22 simplifies to -53/11. | fraction_operations |
7,682 | word_problems | easy | If you have 73 apples and you buy 6 more apples, how many apples do you have in total? | 79 | Add initial 73 plus bought 6: 73+6=79. | addition_word |
7,683 | arithmetic | easy | What is 910 - 632? | 278 | Subtract: 910 - 632 = 278. | basic_operations |
7,684 | exponents | easy | What is 12^4? | 20736 | 12^4 means multiply 12 by itself 4 times: 12*12*12*12 = 20736. | exponents |
7,685 | 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 |
7,686 | 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 |
7,687 | 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 |
7,688 | exponents | easy | What is 7^4? | 2401 | 7^4 means multiply 7 by itself 4 times: 7*7*7*7 = 2401. | exponents |
7,689 | arithmetic | easy | What is 27740 / 73? | 380 | Divide: 27740 ÷ 73 = 380 because 73*380=27740. | division |
7,690 | algebra | easy | Solve for x: 14x + 28 = 280 | 18 | Subtract 28 from both sides: 14x = 280-28=252. Then divide by 14: x = 252/14 = 18. | linear_equation |
7,691 | geometry | easy | Find the area of a circle with radius 10. Use pi=3.14159, round to 2 decimals. | 314.16 | Area = pi*r^2 = 3.14159*10^2 = 3.14159*100 = 314.16. | circle_area |
7,692 | arithmetic | easy | What is 427 + 315? | 742 | Add the two numbers: 427 + 315 = 742. | basic_operations |
7,693 | arithmetic | easy | What is 861 divided by 4? Give answer to 2 decimal places. | 215.25 | Calculate 861/ 4 = 215.2500, rounded to 2 decimals is 215.25. | division |
7,694 | calculus | medium | What is the derivative of 10x^7 with respect to x? | 70x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^7] = 10*7*x^6 = 70x^6. | derivative |
7,695 | arithmetic | easy | What is 94 * 68? | 6392 | Multiply: 94 * 68 = 6392. | basic_operations |
7,696 | algebra | medium | Solve for x: x^2 + 8x + 12 = 0 | x = -2, -6 | Factor: (x - -2)(x - -6) = x^2 -(-8)x + 12 = 0. So x = -2 or -6. Check sum = -8, product = 12. | quadratic |
7,697 | arithmetic | easy | What is 14585 divided by 53? Give answer to 2 decimal places. | 275.19 | Calculate 14585/ 53 = 275.1887, rounded to 2 decimals is 275.19. | division |
7,698 | algebra | easy | Solve for x: 5x + 37 = -38 | -15 | Subtract 37 from both sides: 5x = -38-37=-75. Then divide by 5: x = -75/5 = -15. | linear_equation |
7,699 | statistics | easy | What is the mean (average) of 82, 52, 22, 84? | 60 | Mean = sum/count. Sum = 82+52+22+84=240. Count=4. Mean=240/4=60.0. | mean |
7,700 | calculus | medium | What is the derivative of 10x^8 with respect to x? | 80x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^8] = 10*8*x^7 = 80x^7. | derivative |
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