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 |
|---|---|---|---|---|---|---|
13,601 | arithmetic | easy | What is 119 + 116 * 27? Remember order of operations. | 3251 | Order of operations (PEMDAS): first 116*27=3132, then 119+3132=3251. | basic_operations |
13,602 | exponents | easy | What is 6^3? | 216 | 6^3 means multiply 6 by itself 3 times: 6*6*6 = 216. | exponents |
13,603 | arithmetic | easy | What is 62 * 65? | 4030 | Multiply: 62 * 65 = 4030. | basic_operations |
13,604 | arithmetic | easy | What is 988 - 869? | 119 | Subtract: 988 - 869 = 119. | basic_operations |
13,605 | algebra | easy | Solve for x: 5x + 11 = 61 | 10 | Subtract 11 from both sides: 5x = 61-11=50. Then divide by 5: x = 50/5 = 10. | linear_equation |
13,606 | arithmetic | easy | What is 966 + 677 * 17? Remember order of operations. | 12475 | Order of operations (PEMDAS): first 677*17=11509, then 966+11509=12475. | basic_operations |
13,607 | exponents | easy | What is 11^5? | 161051 | 11^5 means multiply 11 by itself 5 times: 11*11*11*11*11 = 161051. | exponents |
13,608 | 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 |
13,609 | word_problems | easy | If you have 94 dollars and you buy 12 more dollars, how many dollars do you have in total? | 106 | Add initial 94 plus bought 12: 94+12=106. | addition_word |
13,610 | 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 |
13,611 | 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 |
13,612 | exponents | easy | What is 3^2? | 9 | 3^2 means multiply 3 by itself 2 times: 3*3 = 9. | exponents |
13,613 | fractions | medium | What is 12/2 - 15/15? Give as simplified fraction. | 5 | Common denominator 30. Numerator 180-30=150. So 150/30 simplifies to 5. | fraction_operations |
13,614 | calculus | medium | What is the derivative of 3x^5 with respect to x? | 15x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^5] = 3*5*x^4 = 15x^4. | derivative |
13,615 | word_problems | easy | If you have 95 books and you buy 26 more books, how many books do you have in total? | 121 | Add initial 95 plus bought 26: 95+26=121. | addition_word |
13,616 | fractions | medium | What is 19/15 + 17/2? Give as simplified fraction. | 293/30 | Common denominator 15*2=30. 19/15=38/30, 17/2=255/30. Sum = 293/30 = 293/30 simplified. | fraction_operations |
13,617 | word_problems | easy | If you have 19 pencils and you buy 7 more pencils, how many pencils do you have in total? | 26 | Add initial 19 plus bought 7: 19+7=26. | addition_word |
13,618 | exponents | easy | What is 9^4? | 6561 | 9^4 means multiply 9 by itself 4 times: 9*9*9*9 = 6561. | exponents |
13,619 | arithmetic | easy | What is 972 - 674? | 298 | Subtract: 972 - 674 = 298. | basic_operations |
13,620 | algebra | easy | Solve for x: 2x - 38 = -70 | -16 | Add 38 to both sides: 2x = -70+38=-32. Then x = -32/2 = -16. | linear_equation |
13,621 | algebra | easy | Solve for x: 16x - 49 = -81 | -2 | Add 49 to both sides: 16x = -81+49=-32. Then x = -32/16 = -2. | linear_equation |
13,622 | algebra | easy | Solve for x: 5x + 39 = 54 | 3 | Subtract 39 from both sides: 5x = 54-39=15. Then divide by 5: x = 15/5 = 3. | linear_equation |
13,623 | percentages | easy | What is 31% of 665? | 206.15 | Calculate 31/100 * 665 = 0.31*665 = 206.15. | percentages |
13,624 | algebra | easy | Solve for x: 7x + 47 = 152 | 15 | Subtract 47 from both sides: 7x = 152-47=105. Then divide by 7: x = 105/7 = 15. | linear_equation |
13,625 | arithmetic | easy | What is 828 + 312 * 30? Remember order of operations. | 10188 | Order of operations (PEMDAS): first 312*30=9360, then 828+9360=10188. | basic_operations |
13,626 | arithmetic | easy | What is 86 * 61? | 5246 | Multiply: 86 * 61 = 5246. | basic_operations |
13,627 | exponents | easy | What is 8^5? | 32768 | 8^5 means multiply 8 by itself 5 times: 8*8*8*8*8 = 32768. | exponents |
13,628 | arithmetic | easy | What is 68 * 92? | 6256 | Multiply: 68 * 92 = 6256. | basic_operations |
13,629 | arithmetic | easy | What is 811 - 113? | 698 | Subtract: 811 - 113 = 698. | basic_operations |
13,630 | word_problems | easy | If you have 21 pencils and you buy 16 more pencils, how many pencils do you have in total? | 37 | Add initial 21 plus bought 16: 21+16=37. | addition_word |
13,631 | arithmetic | easy | What is 936 + 202? | 1138 | Add the two numbers: 936 + 202 = 1138. | basic_operations |
13,632 | number_theory | medium | What is the GCD (greatest common divisor) of 67 and 52? | 1 | Find greatest number dividing both 67 and 52. Divisors common, greatest is 1. | gcd |
13,633 | algebra | medium | Solve for x: x^2 - 1x - 2 = 0 | x = 2, -1 | Factor: (x - 2)(x - -1) = x^2 -(1)x + -2 = 0. So x = 2 or -1. Check sum = 1, product = -2. | quadratic |
13,634 | algebra | easy | Solve for x: 7x + 1 = -62 | -9 | Subtract 1 from both sides: 7x = -62-1=-63. Then divide by 7: x = -63/7 = -9. | linear_equation |
13,635 | exponents | easy | What is 7^4? | 2401 | 7^4 means multiply 7 by itself 4 times: 7*7*7*7 = 2401. | exponents |
13,636 | 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 |
13,637 | fractions | medium | What is 15/4 * 9/16? Give as simplified fraction. | 135/64 | Multiply numerators: 15*9=135. Denominators: 4*16=64. Simplify by gcd 1 to get 135/64. | fraction_operations |
13,638 | statistics | easy | What is the mean (average) of 4, 67, 86, 3? | 40 | Mean = sum/count. Sum = 4+67+86+3=160. Count=4. Mean=160/4=40.0. | mean |
13,639 | number_theory | medium | What is the LCM (least common multiple) of 83 and 89? | 7387 | LCM = |83*89| / GCD(83,89). GCD=1, so LCM=7387/1=7387. | lcm |
13,640 | arithmetic | easy | What is 34 * 81? | 2754 | Multiply: 34 * 81 = 2754. | basic_operations |
13,641 | arithmetic | easy | What is 160 - 62? | 98 | Subtract: 160 - 62 = 98. | basic_operations |
13,642 | geometry | easy | Find the perimeter of a rectangle with length 36 and width 40. | 152 | Perimeter = 2*(length+width) = 2*(36+40) = 2*76 = 152. | rectangle_perim |
13,643 | percentages | easy | What is 57% of 623? | 355.11 | Calculate 57/100 * 623 = 0.57*623 = 355.11. | percentages |
13,644 | fractions | medium | What is 13/14 - 14/3? Give as simplified fraction. | -157/42 | Common denominator 42. Numerator 39-196=-157. So -157/42 simplifies to -157/42. | fraction_operations |
13,645 | exponents | easy | What is 10^5? | 100000 | 10^5 means multiply 10 by itself 5 times: 10*10*10*10*10 = 100000. | exponents |
13,646 | word_problems | easy | If you have 19 pencils and you buy 8 more pencils, how many pencils do you have in total? | 27 | Add initial 19 plus bought 8: 19+8=27. | addition_word |
13,647 | arithmetic | easy | What is 417 + 70? | 487 | Add the two numbers: 417 + 70 = 487. | basic_operations |
13,648 | word_problems | easy | If you have 87 dollars and you buy 15 more dollars, how many dollars do you have in total? | 102 | Add initial 87 plus bought 15: 87+15=102. | addition_word |
13,649 | word_problems | easy | If you have 64 pencils and you buy 19 more pencils, how many pencils do you have in total? | 83 | Add initial 64 plus bought 19: 64+19=83. | addition_word |
13,650 | 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 |
13,651 | exponents | easy | What is 7^3? | 343 | 7^3 means multiply 7 by itself 3 times: 7*7*7 = 343. | exponents |
13,652 | word_problems | easy | If you have 35 books and you buy 45 more books, how many books do you have in total? | 80 | Add initial 35 plus bought 45: 35+45=80. | addition_word |
13,653 | arithmetic | easy | What is 21995 / 83? | 265 | Divide: 21995 ÷ 83 = 265 because 83*265=21995. | division |
13,654 | roots | easy | What is the square root of 729? | 27 | Find number that when squared gives 729. 27*27=729, so sqrt(729)=27. | square_roots |
13,655 | statistics | easy | What is the mean (average) of 37, 16, 28, 43? | 31 | Mean = sum/count. Sum = 37+16+28+43=124. Count=4. Mean=124/4=31.0. | mean |
13,656 | geometry | easy | Find the area of a circle with radius 22. Use pi=3.14159, round to 2 decimals. | 1520.53 | Area = pi*r^2 = 3.14159*22^2 = 3.14159*484 = 1520.53. | circle_area |
13,657 | word_problems | easy | If you have 81 apples and you buy 30 more apples, how many apples do you have in total? | 111 | Add initial 81 plus bought 30: 81+30=111. | addition_word |
13,658 | word_problems | easy | If you have 81 apples and you buy 47 more apples, how many apples do you have in total? | 128 | Add initial 81 plus bought 47: 81+47=128. | addition_word |
13,659 | statistics | easy | What is the mean (average) of 83, 8, 40, 81? | 53 | Mean = sum/count. Sum = 83+8+40+81=212. Count=4. Mean=212/4=53.0. | mean |
13,660 | number_theory | medium | What is the GCD (greatest common divisor) of 44 and 27? | 1 | Find greatest number dividing both 44 and 27. Divisors common, greatest is 1. | gcd |
13,661 | arithmetic | easy | What is 73 + 497? | 570 | Add the two numbers: 73 + 497 = 570. | basic_operations |
13,662 | geometry | easy | Find the area of a rectangle with length 20 and width 61. | 1220 | Area = length * width = 20*61 = 1220. | rectangle_area |
13,663 | algebra | medium | Solve for x: x^2 - 9x + 8 = 0 | x = 1, 8 | Factor: (x - 1)(x - 8) = x^2 -(9)x + 8 = 0. So x = 1 or 8. Check sum = 9, product = 8. | quadratic |
13,664 | algebra | medium | Solve for x: x^2 - 3x - 70 = 0 | x = -7, 10 | Factor: (x - -7)(x - 10) = x^2 -(3)x + -70 = 0. So x = -7 or 10. Check sum = 3, product = -70. | quadratic |
13,665 | algebra | medium | Solve for x: x^2 - 18x + 80 = 0 | x = 8, 10 | Factor: (x - 8)(x - 10) = x^2 -(18)x + 80 = 0. So x = 8 or 10. Check sum = 18, product = 80. | quadratic |
13,666 | number_theory | medium | What is the GCD (greatest common divisor) of 49 and 58? | 1 | Find greatest number dividing both 49 and 58. Divisors common, greatest is 1. | gcd |
13,667 | geometry | easy | Find the area of a rectangle with length 47 and width 47. | 2209 | Area = length * width = 47*47 = 2209. | rectangle_area |
13,668 | 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 |
13,669 | algebra | medium | Solve for x: x^2 + 7x = 0 | x = 0, -7 | Factor: (x - 0)(x - -7) = x^2 -(-7)x + 0 = 0. So x = 0 or -7. Check sum = -7, product = 0. | quadratic |
13,670 | statistics | easy | What is the mean (average) of 37, 82, 69, 46? | 58.5 | Mean = sum/count. Sum = 37+82+69+46=234. Count=4. Mean=234/4=58.5. | mean |
13,671 | 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 |
13,672 | algebra | easy | Solve for x: 13x - 11 = -154 | -11 | Add 11 to both sides: 13x = -154+11=-143. Then x = -143/13 = -11. | linear_equation |
13,673 | geometry | easy | Find the perimeter of a rectangle with length 57 and width 40. | 194 | Perimeter = 2*(length+width) = 2*(57+40) = 2*97 = 194. | rectangle_perim |
13,674 | algebra | easy | Solve for x: 17x + 45 = -159 | -12 | Subtract 45 from both sides: 17x = -159-45=-204. Then divide by 17: x = -204/17 = -12. | linear_equation |
13,675 | algebra | easy | Solve for x: 1x - 27 = -39 | -12 | Add 27 to both sides: 1x = -39+27=-12. Then x = -12/1 = -12. | linear_equation |
13,676 | arithmetic | easy | What is 282 + 75 * 1? Remember order of operations. | 357 | Order of operations (PEMDAS): first 75*1=75, then 282+75=357. | basic_operations |
13,677 | 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 |
13,678 | algebra | medium | Solve for x: x^2 - 2x = 0 | x = 2, 0 | Factor: (x - 2)(x - 0) = x^2 -(2)x + 0 = 0. So x = 2 or 0. Check sum = 2, product = 0. | quadratic |
13,679 | algebra | medium | Solve for x: x^2 + 16x + 63 = 0 | x = -9, -7 | Factor: (x - -9)(x - -7) = x^2 -(-16)x + 63 = 0. So x = -9 or -7. Check sum = -16, product = 63. | quadratic |
13,680 | geometry | easy | Find the area of a triangle with base 60 and height 54. | 1620 | Area = 0.5*base*height = 0.5*60*54 = 1620. | triangle_area |
13,681 | arithmetic | easy | What is 638 + 422? | 1060 | Add the two numbers: 638 + 422 = 1060. | basic_operations |
13,682 | number_theory | medium | What is the GCD (greatest common divisor) of 5 and 8? | 1 | Find greatest number dividing both 5 and 8. Divisors common, greatest is 1. | gcd |
13,683 | algebra | medium | Solve for x: x^2 - 1x - 56 = 0 | x = -7, 8 | Factor: (x - -7)(x - 8) = x^2 -(1)x + -56 = 0. So x = -7 or 8. Check sum = 1, product = -56. | quadratic |
13,684 | 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 |
13,685 | fractions | medium | What is 6/3 - 12/2? Give as simplified fraction. | -4 | Common denominator 6. Numerator 12-36=-24. So -24/6 simplifies to -4. | fraction_operations |
13,686 | number_theory | medium | What is the LCM (least common multiple) of 6 and 51? | 102 | LCM = |6*51| / GCD(6,51). GCD=3, so LCM=306/3=102. | lcm |
13,687 | arithmetic | easy | What is 32560 / 88? | 370 | Divide: 32560 ÷ 88 = 370 because 88*370=32560. | division |
13,688 | geometry | easy | Find the area of a circle with radius 9. Use pi=3.14159, round to 2 decimals. | 254.47 | Area = pi*r^2 = 3.14159*9^2 = 3.14159*81 = 254.47. | circle_area |
13,689 | fractions | medium | What is 13/10 + 19/10? Give as simplified fraction. | 16/5 | Common denominator 10*10=100. 13/10=130/100, 19/10=190/100. Sum = 320/100 = 16/5 simplified. | fraction_operations |
13,690 | arithmetic | easy | What is 1358 / 97? | 14 | Divide: 1358 ÷ 97 = 14 because 97*14=1358. | division |
13,691 | arithmetic | easy | What is 584 - 551? | 33 | Subtract: 584 - 551 = 33. | basic_operations |
13,692 | arithmetic | easy | What is 305 + 60 * 53? Remember order of operations. | 3485 | Order of operations (PEMDAS): first 60*53=3180, then 305+3180=3485. | basic_operations |
13,693 | algebra | medium | Solve for x: x^2 + 6x - 7 = 0 | x = -7, 1 | Factor: (x - -7)(x - 1) = x^2 -(-6)x + -7 = 0. So x = -7 or 1. Check sum = -6, product = -7. | quadratic |
13,694 | arithmetic | easy | What is 44954 / 91? | 494 | Divide: 44954 ÷ 91 = 494 because 91*494=44954. | division |
13,695 | arithmetic | easy | What is 15247 / 79? | 193 | Divide: 15247 ÷ 79 = 193 because 79*193=15247. | division |
13,696 | 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 |
13,697 | roots | easy | What is the square root of 1156? | 34 | Find number that when squared gives 1156. 34*34=1156, so sqrt(1156)=34. | square_roots |
13,698 | 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 |
13,699 | percentages | easy | What is 11% of 973? | 107.03 | Calculate 11/100 * 973 = 0.11*973 = 107.03. | percentages |
13,700 | geometry | easy | Find the perimeter of a rectangle with length 35 and width 23. | 116 | Perimeter = 2*(length+width) = 2*(35+23) = 2*58 = 116. | rectangle_perim |
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