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 |
|---|---|---|---|---|---|---|
1,701 | algebra | medium | Solve for x: x^2 + 8x = 0 | x = 0, -8 | Factor: (x - 0)(x - -8) = x^2 -(-8)x + 0 = 0. So x = 0 or -8. Check sum = -8, product = 0. | quadratic |
1,702 | arithmetic | easy | What is 2701 / 37? | 73 | Divide: 2701 ÷ 37 = 73 because 37*73=2701. | division |
1,703 | number_theory | medium | What is the LCM (least common multiple) of 71 and 22? | 1562 | LCM = |71*22| / GCD(71,22). GCD=1, so LCM=1562/1=1562. | lcm |
1,704 | percentages | easy | What is 75% of 42? | 31.5 | Calculate 75/100 * 42 = 0.75*42 = 31.5. | percentages |
1,705 | algebra | easy | Solve for x: 4x + 30 = 106 | 19 | Subtract 30 from both sides: 4x = 106-30=76. Then divide by 4: x = 76/4 = 19. | linear_equation |
1,706 | calculus | medium | What is the derivative of 3x^8 with respect to x? | 24x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^8] = 3*8*x^7 = 24x^7. | derivative |
1,707 | arithmetic | easy | What is 901 + 499 * 11? Remember order of operations. | 6390 | Order of operations (PEMDAS): first 499*11=5489, then 901+5489=6390. | basic_operations |
1,708 | arithmetic | easy | What is 724 - 668? | 56 | Subtract: 724 - 668 = 56. | basic_operations |
1,709 | statistics | easy | What is the mean (average) of 17, 27, 19, 82, 35? | 36 | Mean = sum/count. Sum = 17+27+19+82+35=180. Count=5. Mean=180/5=36.0. | mean |
1,710 | word_problems | easy | If you have 57 books and you buy 16 more books, how many books do you have in total? | 73 | Add initial 57 plus bought 16: 57+16=73. | addition_word |
1,711 | arithmetic | easy | What is 611 - 185? | 426 | Subtract: 611 - 185 = 426. | basic_operations |
1,712 | arithmetic | easy | What is 847 - 643? | 204 | Subtract: 847 - 643 = 204. | basic_operations |
1,713 | percentages | easy | What is 25% of 121? | 30.25 | Calculate 25/100 * 121 = 0.25*121 = 30.25. | percentages |
1,714 | arithmetic | easy | What is 15066 / 81? | 186 | Divide: 15066 ÷ 81 = 186 because 81*186=15066. | division |
1,715 | word_problems | easy | If you have 85 books and you buy 43 more books, how many books do you have in total? | 128 | Add initial 85 plus bought 43: 85+43=128. | addition_word |
1,716 | geometry | easy | Find the area of a rectangle with length 25 and width 15. | 375 | Area = length * width = 25*15 = 375. | rectangle_area |
1,717 | algebra | easy | Solve for x: 16x + 13 = -131 | -9 | Subtract 13 from both sides: 16x = -131-13=-144. Then divide by 16: x = -144/16 = -9. | linear_equation |
1,718 | algebra | medium | Solve for x: x^2 + 18x + 81 = 0 | x = -9 | Factor as (x - -9)^2 = 0, so root is -9 (double root). Sum of roots = -18, product = 81. | quadratic |
1,719 | number_theory | medium | What is the LCM (least common multiple) of 37 and 27? | 999 | LCM = |37*27| / GCD(37,27). GCD=1, so LCM=999/1=999. | lcm |
1,720 | geometry | easy | Find the area of a circle with radius 40. Use pi=3.14159, round to 2 decimals. | 5026.55 | Area = pi*r^2 = 3.14159*40^2 = 3.14159*1600 = 5026.55. | circle_area |
1,721 | word_problems | easy | If you have 10 apples and you buy 7 more apples, how many apples do you have in total? | 17 | Add initial 10 plus bought 7: 10+7=17. | addition_word |
1,722 | algebra | medium | Solve for x: x^2 + 15x + 50 = 0 | x = -5, -10 | Factor: (x - -5)(x - -10) = x^2 -(-15)x + 50 = 0. So x = -5 or -10. Check sum = -15, product = 50. | quadratic |
1,723 | statistics | easy | What is the mean (average) of 15, 10, 31, 93, 57? | 41.2 | Mean = sum/count. Sum = 15+10+31+93+57=206. Count=5. Mean=206/5=41.2. | mean |
1,724 | 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 |
1,725 | fractions | medium | What is 11/9 + 4/12? Give as simplified fraction. | 14/9 | Common denominator 9*12=108. 11/9=132/108, 4/12=36/108. Sum = 168/108 = 14/9 simplified. | fraction_operations |
1,726 | arithmetic | easy | What is 12096 / 32? | 378 | Divide: 12096 ÷ 32 = 378 because 32*378=12096. | division |
1,727 | calculus | medium | What is the derivative of 2x^3 with respect to x? | 6x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^3] = 2*3*x^2 = 6x^2. | derivative |
1,728 | statistics | easy | What is the mean (average) of 63, 7, 56, 19, 28? | 34.6 | Mean = sum/count. Sum = 63+7+56+19+28=173. Count=5. Mean=173/5=34.6. | mean |
1,729 | word_problems | easy | If you have 27 dollars and you buy 25 more dollars, how many dollars do you have in total? | 52 | Add initial 27 plus bought 25: 27+25=52. | addition_word |
1,730 | algebra | easy | Solve for x: 15x + 42 = -78 | -8 | Subtract 42 from both sides: 15x = -78-42=-120. Then divide by 15: x = -120/15 = -8. | linear_equation |
1,731 | number_theory | medium | What is the LCM (least common multiple) of 35 and 26? | 910 | LCM = |35*26| / GCD(35,26). GCD=1, so LCM=910/1=910. | lcm |
1,732 | algebra | easy | Solve for x: 2x + 38 = 70 | 16 | Subtract 38 from both sides: 2x = 70-38=32. Then divide by 2: x = 32/2 = 16. | linear_equation |
1,733 | arithmetic | easy | What is 288 - 140? | 148 | Subtract: 288 - 140 = 148. | basic_operations |
1,734 | algebra | medium | Solve for x: x^2 + 3x = 0 | x = 0, -3 | Factor: (x - 0)(x - -3) = x^2 -(-3)x + 0 = 0. So x = 0 or -3. Check sum = -3, product = 0. | quadratic |
1,735 | exponents | easy | What is 11^3? | 1331 | 11^3 means multiply 11 by itself 3 times: 11*11*11 = 1331. | exponents |
1,736 | algebra | medium | Solve for x: x^2 - 15x + 56 = 0 | x = 8, 7 | Factor: (x - 8)(x - 7) = x^2 -(15)x + 56 = 0. So x = 8 or 7. Check sum = 15, product = 56. | quadratic |
1,737 | percentages | easy | What is 12% of 422? | 50.64 | Calculate 12/100 * 422 = 0.12*422 = 50.64. | percentages |
1,738 | statistics | easy | What is the mean (average) of 76, 61, 60? | 65.67 | Mean = sum/count. Sum = 76+61+60=197. Count=3. Mean=197/3=65.67. | mean |
1,739 | geometry | easy | Find the area of a rectangle with length 94 and width 55. | 5170 | Area = length * width = 94*55 = 5170. | rectangle_area |
1,740 | percentages | easy | What is 32% of 336? | 107.52 | Calculate 32/100 * 336 = 0.32*336 = 107.52. | percentages |
1,741 | 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 |
1,742 | percentages | easy | What is 76% of 969? | 736.44 | Calculate 76/100 * 969 = 0.76*969 = 736.44. | percentages |
1,743 | algebra | easy | Solve for x: 19x - 50 = 64 | 6 | Add 50 to both sides: 19x = 64+50=114. Then x = 114/19 = 6. | linear_equation |
1,744 | arithmetic | easy | What is 5 * 55? | 275 | Multiply: 5 * 55 = 275. | basic_operations |
1,745 | statistics | easy | What is the mean (average) of 13, 58, 64, 31, 11? | 35.4 | Mean = sum/count. Sum = 13+58+64+31+11=177. Count=5. Mean=177/5=35.4. | mean |
1,746 | arithmetic | easy | What is 710 + 750 * 53? Remember order of operations. | 40460 | Order of operations (PEMDAS): first 750*53=39750, then 710+39750=40460. | basic_operations |
1,747 | exponents | easy | What is 5^2? | 25 | 5^2 means multiply 5 by itself 2 times: 5*5 = 25. | exponents |
1,748 | arithmetic | easy | What is 492 + 686? | 1178 | Add the two numbers: 492 + 686 = 1178. | basic_operations |
1,749 | arithmetic | easy | What is 1000 + 466? | 1466 | Add the two numbers: 1000 + 466 = 1466. | basic_operations |
1,750 | calculus | medium | What is the derivative of 6x^3 with respect to x? | 18x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^3] = 6*3*x^2 = 18x^2. | derivative |
1,751 | word_problems | easy | If you have 95 apples and you buy 41 more apples, how many apples do you have in total? | 136 | Add initial 95 plus bought 41: 95+41=136. | addition_word |
1,752 | arithmetic | easy | What is 915 - 395? | 520 | Subtract: 915 - 395 = 520. | basic_operations |
1,753 | exponents | easy | What is 8^4? | 4096 | 8^4 means multiply 8 by itself 4 times: 8*8*8*8 = 4096. | exponents |
1,754 | fractions | medium | What is 3/12 * 2/18? Give as simplified fraction. | 1/36 | Multiply numerators: 3*2=6. Denominators: 12*18=216. Simplify by gcd 6 to get 1/36. | fraction_operations |
1,755 | number_theory | medium | What is the LCM (least common multiple) of 7 and 15? | 105 | LCM = |7*15| / GCD(7,15). GCD=1, so LCM=105/1=105. | lcm |
1,756 | number_theory | medium | What is the GCD (greatest common divisor) of 60 and 80? | 20 | Find greatest number dividing both 60 and 80. Divisors common, greatest is 20. | gcd |
1,757 | number_theory | medium | What is the GCD (greatest common divisor) of 47 and 23? | 1 | Find greatest number dividing both 47 and 23. Divisors common, greatest is 1. | gcd |
1,758 | fractions | medium | What is 5/12 + 8/19? Give as simplified fraction. | 191/228 | Common denominator 12*19=228. 5/12=95/228, 8/19=96/228. Sum = 191/228 = 191/228 simplified. | fraction_operations |
1,759 | statistics | easy | What is the mean (average) of 97, 75, 90, 27, 97? | 77.2 | Mean = sum/count. Sum = 97+75+90+27+97=386. Count=5. Mean=386/5=77.2. | mean |
1,760 | percentages | easy | What is 42% of 362? | 152.04 | Calculate 42/100 * 362 = 0.42*362 = 152.04. | percentages |
1,761 | geometry | easy | Find the area of a triangle with base 88 and height 55. | 2420 | Area = 0.5*base*height = 0.5*88*55 = 2420. | triangle_area |
1,762 | geometry | easy | Find the area of a rectangle with length 9 and width 48. | 432 | Area = length * width = 9*48 = 432. | rectangle_area |
1,763 | number_theory | medium | What is the GCD (greatest common divisor) of 58 and 63? | 1 | Find greatest number dividing both 58 and 63. Divisors common, greatest is 1. | gcd |
1,764 | statistics | easy | What is the mean (average) of 69, 87, 69, 38, 58? | 64.2 | Mean = sum/count. Sum = 69+87+69+38+58=321. Count=5. Mean=321/5=64.2. | mean |
1,765 | number_theory | medium | What is the GCD (greatest common divisor) of 87 and 89? | 1 | Find greatest number dividing both 87 and 89. Divisors common, greatest is 1. | gcd |
1,766 | fractions | medium | What is 15/4 + 3/14? Give as simplified fraction. | 111/28 | Common denominator 4*14=56. 15/4=210/56, 3/14=12/56. Sum = 222/56 = 111/28 simplified. | fraction_operations |
1,767 | exponents | easy | What is 3^2? | 9 | 3^2 means multiply 3 by itself 2 times: 3*3 = 9. | exponents |
1,768 | 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 |
1,769 | algebra | easy | Solve for x: 16x - 31 = -143 | -7 | Add 31 to both sides: 16x = -143+31=-112. Then x = -112/16 = -7. | linear_equation |
1,770 | arithmetic | easy | What is 17 * 61? | 1037 | Multiply: 17 * 61 = 1037. | basic_operations |
1,771 | word_problems | easy | If you have 99 apples and you buy 42 more apples, how many apples do you have in total? | 141 | Add initial 99 plus bought 42: 99+42=141. | addition_word |
1,772 | exponents | easy | What is 5^2? | 25 | 5^2 means multiply 5 by itself 2 times: 5*5 = 25. | exponents |
1,773 | arithmetic | easy | What is 83 * 43? | 3569 | Multiply: 83 * 43 = 3569. | basic_operations |
1,774 | 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 |
1,775 | roots | easy | What is the square root of 1024? | 32 | Find number that when squared gives 1024. 32*32=1024, so sqrt(1024)=32. | square_roots |
1,776 | word_problems | easy | If you have 63 pencils and you buy 20 more pencils, how many pencils do you have in total? | 83 | Add initial 63 plus bought 20: 63+20=83. | addition_word |
1,777 | algebra | easy | Solve for x: 10x - 29 = -69 | -4 | Add 29 to both sides: 10x = -69+29=-40. Then x = -40/10 = -4. | linear_equation |
1,778 | percentages | easy | What is 62% of 381? | 236.22 | Calculate 62/100 * 381 = 0.62*381 = 236.22. | percentages |
1,779 | exponents | easy | What is 2^3? | 8 | 2^3 means multiply 2 by itself 3 times: 2*2*2 = 8. | exponents |
1,780 | number_theory | medium | What is the GCD (greatest common divisor) of 37 and 59? | 1 | Find greatest number dividing both 37 and 59. Divisors common, greatest is 1. | gcd |
1,781 | 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 |
1,782 | algebra | medium | Solve for x: x^2 + 11x + 30 = 0 | x = -5, -6 | Factor: (x - -5)(x - -6) = x^2 -(-11)x + 30 = 0. So x = -5 or -6. Check sum = -11, product = 30. | quadratic |
1,783 | algebra | medium | Solve for x: x^2 + 10x + 21 = 0 | x = -3, -7 | Factor: (x - -3)(x - -7) = x^2 -(-10)x + 21 = 0. So x = -3 or -7. Check sum = -10, product = 21. | quadratic |
1,784 | arithmetic | easy | What is 589 + 325 * 17? Remember order of operations. | 6114 | Order of operations (PEMDAS): first 325*17=5525, then 589+5525=6114. | basic_operations |
1,785 | 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 |
1,786 | arithmetic | easy | What is 682 + 325? | 1007 | Add the two numbers: 682 + 325 = 1007. | basic_operations |
1,787 | 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 |
1,788 | arithmetic | easy | What is 1040 / 5? | 208 | Divide: 1040 ÷ 5 = 208 because 5*208=1040. | division |
1,789 | word_problems | easy | If you have 45 apples and you buy 10 more apples, how many apples do you have in total? | 55 | Add initial 45 plus bought 10: 45+10=55. | addition_word |
1,790 | 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 |
1,791 | exponents | easy | What is 9^4? | 6561 | 9^4 means multiply 9 by itself 4 times: 9*9*9*9 = 6561. | exponents |
1,792 | algebra | easy | Solve for x: 19x + 43 = 195 | 8 | Subtract 43 from both sides: 19x = 195-43=152. Then divide by 19: x = 152/19 = 8. | linear_equation |
1,793 | roots | easy | What is the square root of 2025? | 45 | Find number that when squared gives 2025. 45*45=2025, so sqrt(2025)=45. | square_roots |
1,794 | arithmetic | easy | What is 23370 / 95? | 246 | Divide: 23370 ÷ 95 = 246 because 95*246=23370. | division |
1,795 | arithmetic | easy | What is 533 / 41? | 13 | Divide: 533 ÷ 41 = 13 because 41*13=533. | division |
1,796 | 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 |
1,797 | arithmetic | easy | What is 68 * 29? | 1972 | Multiply: 68 * 29 = 1972. | basic_operations |
1,798 | geometry | easy | Find the perimeter of a rectangle with length 3 and width 11. | 28 | Perimeter = 2*(length+width) = 2*(3+11) = 2*14 = 28. | rectangle_perim |
1,799 | word_problems | easy | If you have 91 apples and you buy 43 more apples, how many apples do you have in total? | 134 | Add initial 91 plus bought 43: 91+43=134. | addition_word |
1,800 | calculus | medium | What is the derivative of 8x^3 with respect to x? | 24x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^3] = 8*3*x^2 = 24x^2. | derivative |
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