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 |
|---|---|---|---|---|---|---|
13,701 | algebra | medium | Solve for x: x^2 + 4x - 45 = 0 | x = -9, 5 | Factor: (x - -9)(x - 5) = x^2 -(-4)x + -45 = 0. So x = -9 or 5. Check sum = -4, product = -45. | quadratic |
13,702 | arithmetic | easy | What is 924 + 294? | 1218 | Add the two numbers: 924 + 294 = 1218. | basic_operations |
13,703 | arithmetic | easy | What is 955 + 467 * 59? Remember order of operations. | 28508 | Order of operations (PEMDAS): first 467*59=27553, then 955+27553=28508. | basic_operations |
13,704 | word_problems | easy | If you have 37 pencils and you buy 40 more pencils, how many pencils do you have in total? | 77 | Add initial 37 plus bought 40: 37+40=77. | addition_word |
13,705 | roots | easy | What is the square root of 1089? | 33 | Find number that when squared gives 1089. 33*33=1089, so sqrt(1089)=33. | square_roots |
13,706 | fractions | medium | What is 13/17 * 10/7? Give as simplified fraction. | 130/119 | Multiply numerators: 13*10=130. Denominators: 17*7=119. Simplify by gcd 1 to get 130/119. | fraction_operations |
13,707 | calculus | medium | What is the derivative of 2x^2 with respect to x? | 4x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^2] = 2*2*x^1 = 4x. | derivative |
13,708 | statistics | easy | What is the mean (average) of 89, 83, 61, 86? | 79.75 | Mean = sum/count. Sum = 89+83+61+86=319. Count=4. Mean=319/4=79.75. | mean |
13,709 | word_problems | easy | If you have 32 pencils and you buy 33 more pencils, how many pencils do you have in total? | 65 | Add initial 32 plus bought 33: 32+33=65. | addition_word |
13,710 | arithmetic | easy | What is 121 + 107 * 9? Remember order of operations. | 1084 | Order of operations (PEMDAS): first 107*9=963, then 121+963=1084. | basic_operations |
13,711 | number_theory | medium | What is the GCD (greatest common divisor) of 23 and 88? | 1 | Find greatest number dividing both 23 and 88. Divisors common, greatest is 1. | gcd |
13,712 | fractions | medium | What is 17/9 + 12/7? Give as simplified fraction. | 227/63 | Common denominator 9*7=63. 17/9=119/63, 12/7=108/63. Sum = 227/63 = 227/63 simplified. | fraction_operations |
13,713 | fractions | medium | What is 15/17 - 11/3? Give as simplified fraction. | -142/51 | Common denominator 51. Numerator 45-187=-142. So -142/51 simplifies to -142/51. | fraction_operations |
13,714 | exponents | easy | What is 10^2? | 100 | 10^2 means multiply 10 by itself 2 times: 10*10 = 100. | exponents |
13,715 | calculus | medium | What is the derivative of 4x^7 with respect to x? | 28x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^7] = 4*7*x^6 = 28x^6. | derivative |
13,716 | algebra | medium | Solve for x: x^2 + 4x + 4 = 0 | x = -2 | Factor as (x - -2)^2 = 0, so root is -2 (double root). Sum of roots = -4, product = 4. | quadratic |
13,717 | calculus | medium | What is the derivative of 5x^6 with respect to x? | 30x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^6] = 5*6*x^5 = 30x^5. | derivative |
13,718 | 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 |
13,719 | geometry | easy | Find the area of a rectangle with length 92 and width 22. | 2024 | Area = length * width = 92*22 = 2024. | rectangle_area |
13,720 | 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 |
13,721 | 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 |
13,722 | roots | easy | What is the square root of 1681? | 41 | Find number that when squared gives 1681. 41*41=1681, so sqrt(1681)=41. | square_roots |
13,723 | exponents | easy | What is 4^5? | 1024 | 4^5 means multiply 4 by itself 5 times: 4*4*4*4*4 = 1024. | exponents |
13,724 | percentages | easy | What is 26% of 675? | 175.5 | Calculate 26/100 * 675 = 0.26*675 = 175.5. | percentages |
13,725 | statistics | easy | What is the mean (average) of 17, 16, 39? | 24 | Mean = sum/count. Sum = 17+16+39=72. Count=3. Mean=72/3=24.0. | mean |
13,726 | calculus | medium | What is the derivative of 7x^2 with respect to x? | 14x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^2] = 7*2*x^1 = 14x. | derivative |
13,727 | arithmetic | easy | What is 485 + 320 * 86? Remember order of operations. | 28005 | Order of operations (PEMDAS): first 320*86=27520, then 485+27520=28005. | basic_operations |
13,728 | algebra | easy | Solve for x: 20x + 4 = 64 | 3 | Subtract 4 from both sides: 20x = 64-4=60. Then divide by 20: x = 60/20 = 3. | linear_equation |
13,729 | geometry | easy | Find the area of a circle with radius 6. Use pi=3.14159, round to 2 decimals. | 113.1 | Area = pi*r^2 = 3.14159*6^2 = 3.14159*36 = 113.1. | circle_area |
13,730 | arithmetic | easy | What is 776 + 816? | 1592 | Add the two numbers: 776 + 816 = 1592. | basic_operations |
13,731 | arithmetic | easy | What is 633 - 171? | 462 | Subtract: 633 - 171 = 462. | basic_operations |
13,732 | arithmetic | easy | What is 339 - 11? | 328 | Subtract: 339 - 11 = 328. | basic_operations |
13,733 | algebra | medium | Solve for x: x^2 - 1x - 12 = 0 | x = -3, 4 | Factor: (x - -3)(x - 4) = x^2 -(1)x + -12 = 0. So x = -3 or 4. Check sum = 1, product = -12. | quadratic |
13,734 | algebra | medium | Solve for x: x^2 - 4 = 0 | x = -2, 2 | Factor: (x - -2)(x - 2) = x^2 -(0)x + -4 = 0. So x = -2 or 2. Check sum = 0, product = -4. | quadratic |
13,735 | geometry | easy | Find the area of a circle with radius 26. Use pi=3.14159, round to 2 decimals. | 2123.72 | Area = pi*r^2 = 3.14159*26^2 = 3.14159*676 = 2123.72. | circle_area |
13,736 | arithmetic | easy | What is 551 - 302? | 249 | Subtract: 551 - 302 = 249. | basic_operations |
13,737 | arithmetic | easy | What is 608 - 600? | 8 | Subtract: 608 - 600 = 8. | basic_operations |
13,738 | calculus | medium | What is the derivative of 4x^7 with respect to x? | 28x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^7] = 4*7*x^6 = 28x^6. | derivative |
13,739 | algebra | medium | Solve for x: x^2 + 3x - 10 = 0 | x = -5, 2 | Factor: (x - -5)(x - 2) = x^2 -(-3)x + -10 = 0. So x = -5 or 2. Check sum = -3, product = -10. | quadratic |
13,740 | statistics | easy | What is the mean (average) of 10, 98, 15, 10, 63? | 39.2 | Mean = sum/count. Sum = 10+98+15+10+63=196. Count=5. Mean=196/5=39.2. | mean |
13,741 | 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 |
13,742 | algebra | medium | Solve for x: x^2 - 10x + 9 = 0 | x = 1, 9 | Factor: (x - 1)(x - 9) = x^2 -(10)x + 9 = 0. So x = 1 or 9. Check sum = 10, product = 9. | quadratic |
13,743 | algebra | medium | Solve for x: x^2 + 1x - 20 = 0 | x = 4, -5 | Factor: (x - 4)(x - -5) = x^2 -(-1)x + -20 = 0. So x = 4 or -5. Check sum = -1, product = -20. | quadratic |
13,744 | arithmetic | easy | What is 416 + 612? | 1028 | Add the two numbers: 416 + 612 = 1028. | basic_operations |
13,745 | algebra | easy | Solve for x: 20x - 32 = 8 | 2 | Add 32 to both sides: 20x = 8+32=40. Then x = 40/20 = 2. | linear_equation |
13,746 | percentages | easy | What is 70% of 264? | 184.8 | Calculate 70/100 * 264 = 0.7*264 = 184.8. | percentages |
13,747 | arithmetic | easy | What is 566 - 454? | 112 | Subtract: 566 - 454 = 112. | basic_operations |
13,748 | 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 |
13,749 | calculus | medium | What is the derivative of 8x^4 with respect to x? | 32x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^4] = 8*4*x^3 = 32x^3. | derivative |
13,750 | algebra | medium | Solve for x: x^2 + 7x + 10 = 0 | x = -5, -2 | Factor: (x - -5)(x - -2) = x^2 -(-7)x + 10 = 0. So x = -5 or -2. Check sum = -7, product = 10. | quadratic |
13,751 | number_theory | medium | What is the GCD (greatest common divisor) of 67 and 67? | 67 | Find greatest number dividing both 67 and 67. Divisors common, greatest is 67. | gcd |
13,752 | 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 |
13,753 | arithmetic | easy | What is 512 + 600 * 72? Remember order of operations. | 43712 | Order of operations (PEMDAS): first 600*72=43200, then 512+43200=43712. | basic_operations |
13,754 | exponents | easy | What is 2^3? | 8 | 2^3 means multiply 2 by itself 3 times: 2*2*2 = 8. | exponents |
13,755 | fractions | medium | What is 16/18 * 7/14? Give as simplified fraction. | 4/9 | Multiply numerators: 16*7=112. Denominators: 18*14=252. Simplify by gcd 28 to get 4/9. | fraction_operations |
13,756 | arithmetic | easy | What is 20069 / 47? | 427 | Divide: 20069 ÷ 47 = 427 because 47*427=20069. | division |
13,757 | calculus | medium | What is the derivative of 9x^5 with respect to x? | 45x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^5] = 9*5*x^4 = 45x^4. | derivative |
13,758 | calculus | medium | What is the derivative of 9x^5 with respect to x? | 45x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^5] = 9*5*x^4 = 45x^4. | derivative |
13,759 | arithmetic | easy | What is 968 - 556? | 412 | Subtract: 968 - 556 = 412. | basic_operations |
13,760 | 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 |
13,761 | percentages | easy | What is 7% of 26? | 1.82 | Calculate 7/100 * 26 = 0.07*26 = 1.82. | percentages |
13,762 | arithmetic | easy | What is 832 - 191? | 641 | Subtract: 832 - 191 = 641. | basic_operations |
13,763 | arithmetic | easy | What is 631 - 207? | 424 | Subtract: 631 - 207 = 424. | basic_operations |
13,764 | arithmetic | easy | What is 20 + 72 * 1? Remember order of operations. | 92 | Order of operations (PEMDAS): first 72*1=72, then 20+72=92. | basic_operations |
13,765 | percentages | easy | What is 58% of 821? | 476.18 | Calculate 58/100 * 821 = 0.58*821 = 476.18. | percentages |
13,766 | arithmetic | easy | What is 272 + 146 * 88? Remember order of operations. | 13120 | Order of operations (PEMDAS): first 146*88=12848, then 272+12848=13120. | basic_operations |
13,767 | statistics | easy | What is the mean (average) of 58, 23, 64, 73? | 54.5 | Mean = sum/count. Sum = 58+23+64+73=218. Count=4. Mean=218/4=54.5. | mean |
13,768 | percentages | easy | What is 75% of 180? | 135 | Calculate 75/100 * 180 = 0.75*180 = 135. | percentages |
13,769 | algebra | easy | Solve for x: 14x + 42 = 210 | 12 | Subtract 42 from both sides: 14x = 210-42=168. Then divide by 14: x = 168/14 = 12. | linear_equation |
13,770 | geometry | easy | Find the area of a triangle with base 42 and height 34. | 714 | Area = 0.5*base*height = 0.5*42*34 = 714. | triangle_area |
13,771 | algebra | medium | Solve for x: x^2 - 8x + 15 = 0 | x = 5, 3 | Factor: (x - 5)(x - 3) = x^2 -(8)x + 15 = 0. So x = 5 or 3. Check sum = 8, product = 15. | quadratic |
13,772 | algebra | easy | Solve for x: 20x - 19 = -119 | -5 | Add 19 to both sides: 20x = -119+19=-100. Then x = -100/20 = -5. | linear_equation |
13,773 | 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 |
13,774 | fractions | medium | What is 5/11 + 1/17? Give as simplified fraction. | 96/187 | Common denominator 11*17=187. 5/11=85/187, 1/17=11/187. Sum = 96/187 = 96/187 simplified. | fraction_operations |
13,775 | arithmetic | easy | What is 65 * 14? | 910 | Multiply: 65 * 14 = 910. | basic_operations |
13,776 | 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 |
13,777 | arithmetic | easy | What is 604 + 819? | 1423 | Add the two numbers: 604 + 819 = 1423. | basic_operations |
13,778 | arithmetic | easy | What is 270 + 20 * 80? Remember order of operations. | 1870 | Order of operations (PEMDAS): first 20*80=1600, then 270+1600=1870. | basic_operations |
13,779 | algebra | medium | Solve for x: x^2 + 2x - 24 = 0 | x = 4, -6 | Factor: (x - 4)(x - -6) = x^2 -(-2)x + -24 = 0. So x = 4 or -6. Check sum = -2, product = -24. | quadratic |
13,780 | 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 |
13,781 | algebra | easy | Solve for x: 6x + 11 = 29 | 3 | Subtract 11 from both sides: 6x = 29-11=18. Then divide by 6: x = 18/6 = 3. | linear_equation |
13,782 | geometry | easy | Find the perimeter of a rectangle with length 50 and width 63. | 226 | Perimeter = 2*(length+width) = 2*(50+63) = 2*113 = 226. | rectangle_perim |
13,783 | percentages | easy | What is 18% of 707? | 127.26 | Calculate 18/100 * 707 = 0.18*707 = 127.26. | percentages |
13,784 | statistics | easy | What is the mean (average) of 24, 19, 14? | 19 | Mean = sum/count. Sum = 24+19+14=57. Count=3. Mean=57/3=19.0. | mean |
13,785 | roots | easy | What is the square root of 529? | 23 | Find number that when squared gives 529. 23*23=529, so sqrt(529)=23. | square_roots |
13,786 | percentages | easy | What is 19% of 328? | 62.32 | Calculate 19/100 * 328 = 0.19*328 = 62.32. | percentages |
13,787 | arithmetic | easy | What is 75 * 25? | 1875 | Multiply: 75 * 25 = 1875. | basic_operations |
13,788 | algebra | medium | Solve for x: x^2 - 12x + 32 = 0 | x = 8, 4 | Factor: (x - 8)(x - 4) = x^2 -(12)x + 32 = 0. So x = 8 or 4. Check sum = 12, product = 32. | quadratic |
13,789 | geometry | easy | Find the area of a circle with radius 7. Use pi=3.14159, round to 2 decimals. | 153.94 | Area = pi*r^2 = 3.14159*7^2 = 3.14159*49 = 153.94. | circle_area |
13,790 | arithmetic | easy | What is 722 - 682? | 40 | Subtract: 722 - 682 = 40. | basic_operations |
13,791 | arithmetic | easy | What is 433 + 5 * 70? Remember order of operations. | 783 | Order of operations (PEMDAS): first 5*70=350, then 433+350=783. | basic_operations |
13,792 | exponents | easy | What is 11^4? | 14641 | 11^4 means multiply 11 by itself 4 times: 11*11*11*11 = 14641. | exponents |
13,793 | arithmetic | easy | What is 3109 divided by 30? Give answer to 2 decimal places. | 103.63 | Calculate 3109/ 30 = 103.6333, rounded to 2 decimals is 103.63. | division |
13,794 | 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 |
13,795 | arithmetic | easy | What is 973 - 754? | 219 | Subtract: 973 - 754 = 219. | basic_operations |
13,796 | algebra | easy | Solve for x: 19x + 1 = 96 | 5 | Subtract 1 from both sides: 19x = 96-1=95. Then divide by 19: x = 95/19 = 5. | linear_equation |
13,797 | exponents | easy | What is 9^2? | 81 | 9^2 means multiply 9 by itself 2 times: 9*9 = 81. | exponents |
13,798 | arithmetic | easy | What is 525 + 88? | 613 | Add the two numbers: 525 + 88 = 613. | basic_operations |
13,799 | word_problems | easy | If you have 24 pencils and you buy 13 more pencils, how many pencils do you have in total? | 37 | Add initial 24 plus bought 13: 24+13=37. | addition_word |
13,800 | arithmetic | easy | What is 27664 / 76? | 364 | Divide: 27664 ÷ 76 = 364 because 76*364=27664. | division |
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