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 |
|---|---|---|---|---|---|---|
4,701 | exponents | easy | What is 12^2? | 144 | 12^2 means multiply 12 by itself 2 times: 12*12 = 144. | exponents |
4,702 | arithmetic | easy | What is 949 - 853? | 96 | Subtract: 949 - 853 = 96. | basic_operations |
4,703 | algebra | medium | Solve for x: x^2 + 13x + 36 = 0 | x = -9, -4 | Factor: (x - -9)(x - -4) = x^2 -(-13)x + 36 = 0. So x = -9 or -4. Check sum = -13, product = 36. | quadratic |
4,704 | 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 |
4,705 | percentages | easy | What is 35% of 813? | 284.55 | Calculate 35/100 * 813 = 0.35*813 = 284.55. | percentages |
4,706 | arithmetic | easy | What is 89 + 859? | 948 | Add the two numbers: 89 + 859 = 948. | basic_operations |
4,707 | arithmetic | easy | What is 334 + 301? | 635 | Add the two numbers: 334 + 301 = 635. | basic_operations |
4,708 | roots | easy | What is the square root of 169? | 13 | Find number that when squared gives 169. 13*13=169, so sqrt(169)=13. | square_roots |
4,709 | arithmetic | easy | What is 10846 / 29? | 374 | Divide: 10846 ÷ 29 = 374 because 29*374=10846. | division |
4,710 | fractions | medium | What is 14/17 + 17/5? Give as simplified fraction. | 359/85 | Common denominator 17*5=85. 14/17=70/85, 17/5=289/85. Sum = 359/85 = 359/85 simplified. | fraction_operations |
4,711 | 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 |
4,712 | roots | easy | What is the square root of 9? | 3 | Find number that when squared gives 9. 3*3=9, so sqrt(9)=3. | square_roots |
4,713 | arithmetic | easy | What is 983 + 636? | 1619 | Add the two numbers: 983 + 636 = 1619. | basic_operations |
4,714 | arithmetic | easy | What is 18506 / 38? | 487 | Divide: 18506 ÷ 38 = 487 because 38*487=18506. | division |
4,715 | number_theory | medium | What is the LCM (least common multiple) of 23 and 59? | 1357 | LCM = |23*59| / GCD(23,59). GCD=1, so LCM=1357/1=1357. | lcm |
4,716 | arithmetic | easy | What is 27641 divided by 91? Give answer to 2 decimal places. | 303.75 | Calculate 27641/ 91 = 303.7473, rounded to 2 decimals is 303.75. | division |
4,717 | arithmetic | easy | What is 751 + 620 * 17? Remember order of operations. | 11291 | Order of operations (PEMDAS): first 620*17=10540, then 751+10540=11291. | basic_operations |
4,718 | number_theory | medium | What is the LCM (least common multiple) of 17 and 31? | 527 | LCM = |17*31| / GCD(17,31). GCD=1, so LCM=527/1=527. | lcm |
4,719 | calculus | medium | What is the derivative of 3x^3 with respect to x? | 9x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^3] = 3*3*x^2 = 9x^2. | derivative |
4,720 | roots | easy | What is the square root of 1296? | 36 | Find number that when squared gives 1296. 36*36=1296, so sqrt(1296)=36. | square_roots |
4,721 | 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 |
4,722 | arithmetic | easy | What is 65 * 54? | 3510 | Multiply: 65 * 54 = 3510. | basic_operations |
4,723 | word_problems | easy | If you have 73 dollars and you buy 29 more dollars, how many dollars do you have in total? | 102 | Add initial 73 plus bought 29: 73+29=102. | addition_word |
4,724 | exponents | easy | What is 4^3? | 64 | 4^3 means multiply 4 by itself 3 times: 4*4*4 = 64. | exponents |
4,725 | statistics | easy | What is the mean (average) of 44, 66, 44, 95, 86? | 67 | Mean = sum/count. Sum = 44+66+44+95+86=335. Count=5. Mean=335/5=67.0. | mean |
4,726 | geometry | easy | Find the area of a triangle with base 81 and height 44. | 1782 | Area = 0.5*base*height = 0.5*81*44 = 1782. | triangle_area |
4,727 | 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 |
4,728 | roots | easy | What is the square root of 2116? | 46 | Find number that when squared gives 2116. 46*46=2116, so sqrt(2116)=46. | square_roots |
4,729 | exponents | easy | What is 4^3? | 64 | 4^3 means multiply 4 by itself 3 times: 4*4*4 = 64. | exponents |
4,730 | exponents | easy | What is 11^2? | 121 | 11^2 means multiply 11 by itself 2 times: 11*11 = 121. | exponents |
4,731 | arithmetic | easy | What is 832 + 710 * 55? Remember order of operations. | 39882 | Order of operations (PEMDAS): first 710*55=39050, then 832+39050=39882. | basic_operations |
4,732 | arithmetic | easy | What is 904 + 41? | 945 | Add the two numbers: 904 + 41 = 945. | basic_operations |
4,733 | number_theory | medium | What is the GCD (greatest common divisor) of 82 and 30? | 2 | Find greatest number dividing both 82 and 30. Divisors common, greatest is 2. | gcd |
4,734 | arithmetic | easy | What is 15 * 42? | 630 | Multiply: 15 * 42 = 630. | basic_operations |
4,735 | arithmetic | easy | What is 214 - 6? | 208 | Subtract: 214 - 6 = 208. | basic_operations |
4,736 | fractions | medium | What is 14/19 - 6/5? Give as simplified fraction. | -44/95 | Common denominator 95. Numerator 70-114=-44. So -44/95 simplifies to -44/95. | fraction_operations |
4,737 | exponents | easy | What is 6^5? | 7776 | 6^5 means multiply 6 by itself 5 times: 6*6*6*6*6 = 7776. | exponents |
4,738 | calculus | medium | What is the derivative of 10x^6 with respect to x? | 60x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^6] = 10*6*x^5 = 60x^5. | derivative |
4,739 | statistics | easy | What is the mean (average) of 64, 89, 29? | 60.67 | Mean = sum/count. Sum = 64+89+29=182. Count=3. Mean=182/3=60.67. | mean |
4,740 | 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 |
4,741 | word_problems | easy | If you have 97 candies and you buy 19 more candies, how many candies do you have in total? | 116 | Add initial 97 plus bought 19: 97+19=116. | addition_word |
4,742 | algebra | easy | Solve for x: 1x - 34 = -31 | 3 | Add 34 to both sides: 1x = -31+34=3. Then x = 3/1 = 3. | linear_equation |
4,743 | algebra | medium | Solve for x: x^2 - 1 = 0 | x = 1, -1 | Factor: (x - 1)(x - -1) = x^2 -(0)x + -1 = 0. So x = 1 or -1. Check sum = 0, product = -1. | quadratic |
4,744 | fractions | medium | What is 3/18 * 7/7? Give as simplified fraction. | 1/6 | Multiply numerators: 3*7=21. Denominators: 18*7=126. Simplify by gcd 21 to get 1/6. | fraction_operations |
4,745 | arithmetic | easy | What is 6624 / 96? | 69 | Divide: 6624 ÷ 96 = 69 because 96*69=6624. | division |
4,746 | algebra | easy | Solve for x: 7x + 27 = -50 | -11 | Subtract 27 from both sides: 7x = -50-27=-77. Then divide by 7: x = -77/7 = -11. | linear_equation |
4,747 | arithmetic | easy | What is 642 + 313 * 80? Remember order of operations. | 25682 | Order of operations (PEMDAS): first 313*80=25040, then 642+25040=25682. | basic_operations |
4,748 | arithmetic | easy | What is 907 + 93? | 1000 | Add the two numbers: 907 + 93 = 1000. | basic_operations |
4,749 | statistics | easy | What is the mean (average) of 27, 92, 71? | 63.33 | Mean = sum/count. Sum = 27+92+71=190. Count=3. Mean=190/3=63.33. | mean |
4,750 | word_problems | easy | If you have 49 pencils and you buy 2 more pencils, how many pencils do you have in total? | 51 | Add initial 49 plus bought 2: 49+2=51. | addition_word |
4,751 | 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 |
4,752 | arithmetic | easy | What is 682 + 467? | 1149 | Add the two numbers: 682 + 467 = 1149. | basic_operations |
4,753 | statistics | easy | What is the mean (average) of 42, 34, 96, 47? | 54.75 | Mean = sum/count. Sum = 42+34+96+47=219. Count=4. Mean=219/4=54.75. | mean |
4,754 | geometry | easy | Find the circumference of a circle with radius 9. Use pi=3.14159, round to 2 decimals. | 56.55 | Circumference = 2*pi*r = 2*3.14159*9 = 56.55. | circle_circum |
4,755 | calculus | medium | What is the derivative of 10x^3 with respect to x? | 30x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^3] = 10*3*x^2 = 30x^2. | derivative |
4,756 | arithmetic | easy | What is 334 + 146? | 480 | Add the two numbers: 334 + 146 = 480. | basic_operations |
4,757 | word_problems | easy | If you have 53 pencils and you buy 43 more pencils, how many pencils do you have in total? | 96 | Add initial 53 plus bought 43: 53+43=96. | addition_word |
4,758 | percentages | easy | What is 94% of 105? | 98.7 | Calculate 94/100 * 105 = 0.94*105 = 98.7. | percentages |
4,759 | calculus | medium | What is the derivative of 9x^2 with respect to x? | 18x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^2] = 9*2*x^1 = 18x. | derivative |
4,760 | 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 |
4,761 | statistics | easy | What is the mean (average) of 9, 59, 88? | 52 | Mean = sum/count. Sum = 9+59+88=156. Count=3. Mean=156/3=52.0. | mean |
4,762 | fractions | medium | What is 7/16 * 7/20? Give as simplified fraction. | 49/320 | Multiply numerators: 7*7=49. Denominators: 16*20=320. Simplify by gcd 1 to get 49/320. | fraction_operations |
4,763 | algebra | medium | Solve for x: x^2 + 10x = 0 | x = -10, 0 | Factor: (x - -10)(x - 0) = x^2 -(-10)x + 0 = 0. So x = -10 or 0. Check sum = -10, product = 0. | quadratic |
4,764 | 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 |
4,765 | fractions | medium | What is 14/7 - 4/15? Give as simplified fraction. | 26/15 | Common denominator 105. Numerator 210-28=182. So 182/105 simplifies to 26/15. | fraction_operations |
4,766 | arithmetic | easy | What is 71 + 19 * 31? Remember order of operations. | 660 | Order of operations (PEMDAS): first 19*31=589, then 71+589=660. | basic_operations |
4,767 | algebra | medium | Solve for x: x^2 - 10x = 0 | x = 0, 10 | Factor: (x - 0)(x - 10) = x^2 -(10)x + 0 = 0. So x = 0 or 10. Check sum = 10, product = 0. | quadratic |
4,768 | number_theory | medium | What is the GCD (greatest common divisor) of 90 and 32? | 2 | Find greatest number dividing both 90 and 32. Divisors common, greatest is 2. | gcd |
4,769 | roots | easy | What is the square root of 1296? | 36 | Find number that when squared gives 1296. 36*36=1296, so sqrt(1296)=36. | square_roots |
4,770 | exponents | easy | What is 6^5? | 7776 | 6^5 means multiply 6 by itself 5 times: 6*6*6*6*6 = 7776. | exponents |
4,771 | arithmetic | easy | What is 23850 divided by 64? Give answer to 2 decimal places. | 372.66 | Calculate 23850/ 64 = 372.6562, rounded to 2 decimals is 372.66. | division |
4,772 | statistics | easy | What is the mean (average) of 21, 51, 38? | 36.67 | Mean = sum/count. Sum = 21+51+38=110. Count=3. Mean=110/3=36.67. | mean |
4,773 | percentages | easy | What is 3% of 585? | 17.55 | Calculate 3/100 * 585 = 0.03*585 = 17.55. | percentages |
4,774 | 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 |
4,775 | geometry | easy | Find the area of a triangle with base 100 and height 64. | 3200 | Area = 0.5*base*height = 0.5*100*64 = 3200. | triangle_area |
4,776 | arithmetic | easy | What is 11465 divided by 25? Give answer to 2 decimal places. | 458.6 | Calculate 11465/ 25 = 458.6000, rounded to 2 decimals is 458.6. | division |
4,777 | arithmetic | easy | What is 585 + 192 * 23? Remember order of operations. | 5001 | Order of operations (PEMDAS): first 192*23=4416, then 585+4416=5001. | basic_operations |
4,778 | arithmetic | easy | What is 60 * 98? | 5880 | Multiply: 60 * 98 = 5880. | basic_operations |
4,779 | statistics | easy | What is the mean (average) of 15, 28, 63, 91, 42? | 47.8 | Mean = sum/count. Sum = 15+28+63+91+42=239. Count=5. Mean=239/5=47.8. | mean |
4,780 | algebra | easy | Solve for x: 19x + 21 = 268 | 13 | Subtract 21 from both sides: 19x = 268-21=247. Then divide by 19: x = 247/19 = 13. | linear_equation |
4,781 | percentages | easy | What is 17% of 153? | 26.01 | Calculate 17/100 * 153 = 0.17*153 = 26.01. | percentages |
4,782 | arithmetic | easy | What is 832 + 692 * 97? Remember order of operations. | 67956 | Order of operations (PEMDAS): first 692*97=67124, then 832+67124=67956. | basic_operations |
4,783 | number_theory | medium | What is the GCD (greatest common divisor) of 51 and 94? | 1 | Find greatest number dividing both 51 and 94. Divisors common, greatest is 1. | gcd |
4,784 | fractions | medium | What is 6/3 * 2/10? Give as simplified fraction. | 2/5 | Multiply numerators: 6*2=12. Denominators: 3*10=30. Simplify by gcd 6 to get 2/5. | fraction_operations |
4,785 | statistics | easy | What is the mean (average) of 88, 60, 67, 65, 65? | 69 | Mean = sum/count. Sum = 88+60+67+65+65=345. Count=5. Mean=345/5=69.0. | mean |
4,786 | word_problems | easy | If you have 49 books and you buy 44 more books, how many books do you have in total? | 93 | Add initial 49 plus bought 44: 49+44=93. | addition_word |
4,787 | number_theory | medium | What is the LCM (least common multiple) of 86 and 66? | 2838 | LCM = |86*66| / GCD(86,66). GCD=2, so LCM=5676/2=2838. | lcm |
4,788 | algebra | medium | Solve for x: x^2 - 7x - 30 = 0 | x = -3, 10 | Factor: (x - -3)(x - 10) = x^2 -(7)x + -30 = 0. So x = -3 or 10. Check sum = 7, product = -30. | quadratic |
4,789 | calculus | medium | What is the derivative of 1x^2 with respect to x? | 2x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^2] = 1*2*x^1 = 2x. | derivative |
4,790 | fractions | medium | What is 1/10 - 10/9? Give as simplified fraction. | -91/90 | Common denominator 90. Numerator 9-100=-91. So -91/90 simplifies to -91/90. | fraction_operations |
4,791 | arithmetic | easy | What is 835 + 587 * 74? Remember order of operations. | 44273 | Order of operations (PEMDAS): first 587*74=43438, then 835+43438=44273. | basic_operations |
4,792 | arithmetic | easy | What is 356 + 856? | 1212 | Add the two numbers: 356 + 856 = 1212. | basic_operations |
4,793 | arithmetic | easy | What is 74 * 22? | 1628 | Multiply: 74 * 22 = 1628. | basic_operations |
4,794 | number_theory | medium | What is the GCD (greatest common divisor) of 85 and 4? | 1 | Find greatest number dividing both 85 and 4. Divisors common, greatest is 1. | gcd |
4,795 | exponents | easy | What is 5^5? | 3125 | 5^5 means multiply 5 by itself 5 times: 5*5*5*5*5 = 3125. | exponents |
4,796 | geometry | easy | Find the area of a triangle with base 25 and height 8. | 100 | Area = 0.5*base*height = 0.5*25*8 = 100. | triangle_area |
4,797 | fractions | medium | What is 1/20 + 14/17? Give as simplified fraction. | 297/340 | Common denominator 20*17=340. 1/20=17/340, 14/17=280/340. Sum = 297/340 = 297/340 simplified. | fraction_operations |
4,798 | fractions | medium | What is 19/17 + 3/5? Give as simplified fraction. | 146/85 | Common denominator 17*5=85. 19/17=95/85, 3/5=51/85. Sum = 146/85 = 146/85 simplified. | fraction_operations |
4,799 | calculus | medium | What is the derivative of 3x^2 with respect to x? | 6x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^2] = 3*2*x^1 = 6x. | derivative |
4,800 | algebra | easy | Solve for x: 4x - 24 = -64 | -10 | Add 24 to both sides: 4x = -64+24=-40. Then x = -40/4 = -10. | linear_equation |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.