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 |
|---|---|---|---|---|---|---|
3,701 | algebra | easy | Solve for x: 9x - 47 = 52 | 11 | Add 47 to both sides: 9x = 52+47=99. Then x = 99/9 = 11. | linear_equation |
3,702 | percentages | easy | What is 89% of 225? | 200.25 | Calculate 89/100 * 225 = 0.89*225 = 200.25. | percentages |
3,703 | percentages | easy | What is 29% of 451? | 130.79 | Calculate 29/100 * 451 = 0.29*451 = 130.79. | percentages |
3,704 | fractions | medium | What is 5/2 + 10/9? Give as simplified fraction. | 65/18 | Common denominator 2*9=18. 5/2=45/18, 10/9=20/18. Sum = 65/18 = 65/18 simplified. | fraction_operations |
3,705 | statistics | easy | What is the mean (average) of 54, 72, 71, 73? | 67.5 | Mean = sum/count. Sum = 54+72+71+73=270. Count=4. Mean=270/4=67.5. | mean |
3,706 | fractions | medium | What is 14/7 - 17/20? Give as simplified fraction. | 23/20 | Common denominator 140. Numerator 280-119=161. So 161/140 simplifies to 23/20. | fraction_operations |
3,707 | calculus | medium | What is the derivative of 5x^7 with respect to x? | 35x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^7] = 5*7*x^6 = 35x^6. | derivative |
3,708 | number_theory | medium | What is the LCM (least common multiple) of 34 and 56? | 952 | LCM = |34*56| / GCD(34,56). GCD=2, so LCM=1904/2=952. | lcm |
3,709 | number_theory | medium | What is the LCM (least common multiple) of 31 and 41? | 1271 | LCM = |31*41| / GCD(31,41). GCD=1, so LCM=1271/1=1271. | lcm |
3,710 | arithmetic | easy | What is 982 - 710? | 272 | Subtract: 982 - 710 = 272. | basic_operations |
3,711 | percentages | easy | What is 69% of 593? | 409.17 | Calculate 69/100 * 593 = 0.69*593 = 409.17. | percentages |
3,712 | algebra | easy | Solve for x: 4x + 50 = 98 | 12 | Subtract 50 from both sides: 4x = 98-50=48. Then divide by 4: x = 48/4 = 12. | linear_equation |
3,713 | statistics | easy | What is the mean (average) of 41, 14, 78, 30, 93? | 51.2 | Mean = sum/count. Sum = 41+14+78+30+93=256. Count=5. Mean=256/5=51.2. | mean |
3,714 | number_theory | medium | What is the GCD (greatest common divisor) of 92 and 90? | 2 | Find greatest number dividing both 92 and 90. Divisors common, greatest is 2. | gcd |
3,715 | word_problems | easy | If you have 39 apples and you buy 37 more apples, how many apples do you have in total? | 76 | Add initial 39 plus bought 37: 39+37=76. | addition_word |
3,716 | word_problems | easy | If you have 84 candies and you buy 29 more candies, how many candies do you have in total? | 113 | Add initial 84 plus bought 29: 84+29=113. | addition_word |
3,717 | 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 |
3,718 | algebra | medium | Solve for x: x^2 + 3x - 70 = 0 | x = -10, 7 | Factor: (x - -10)(x - 7) = x^2 -(-3)x + -70 = 0. So x = -10 or 7. Check sum = -3, product = -70. | quadratic |
3,719 | word_problems | easy | If you have 76 apples and you buy 42 more apples, how many apples do you have in total? | 118 | Add initial 76 plus bought 42: 76+42=118. | addition_word |
3,720 | number_theory | medium | What is the GCD (greatest common divisor) of 62 and 91? | 1 | Find greatest number dividing both 62 and 91. Divisors common, greatest is 1. | gcd |
3,721 | arithmetic | easy | What is 36 + 73 * 9? Remember order of operations. | 693 | Order of operations (PEMDAS): first 73*9=657, then 36+657=693. | basic_operations |
3,722 | arithmetic | easy | What is 731 - 613? | 118 | Subtract: 731 - 613 = 118. | basic_operations |
3,723 | algebra | easy | Solve for x: 13x - 23 = 81 | 8 | Add 23 to both sides: 13x = 81+23=104. Then x = 104/13 = 8. | linear_equation |
3,724 | exponents | easy | What is 10^4? | 10000 | 10^4 means multiply 10 by itself 4 times: 10*10*10*10 = 10000. | exponents |
3,725 | roots | easy | What is the square root of 225? | 15 | Find number that when squared gives 225. 15*15=225, so sqrt(225)=15. | square_roots |
3,726 | 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 |
3,727 | roots | easy | What is the square root of 1? | 1 | Find number that when squared gives 1. 1*1=1, so sqrt(1)=1. | square_roots |
3,728 | arithmetic | easy | What is 16 * 100? | 1600 | Multiply: 16 * 100 = 1600. | basic_operations |
3,729 | arithmetic | easy | What is 543 + 424? | 967 | Add the two numbers: 543 + 424 = 967. | basic_operations |
3,730 | percentages | easy | What is 77% of 793? | 610.61 | Calculate 77/100 * 793 = 0.77*793 = 610.61. | percentages |
3,731 | 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 |
3,732 | statistics | easy | What is the mean (average) of 16, 43, 12, 13, 52? | 27.2 | Mean = sum/count. Sum = 16+43+12+13+52=136. Count=5. Mean=136/5=27.2. | mean |
3,733 | calculus | medium | What is the derivative of 7x^8 with respect to x? | 56x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^8] = 7*8*x^7 = 56x^7. | derivative |
3,734 | calculus | medium | What is the derivative of 8x^7 with respect to x? | 56x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^7] = 8*7*x^6 = 56x^6. | derivative |
3,735 | algebra | easy | Solve for x: 11x - 27 = -181 | -14 | Add 27 to both sides: 11x = -181+27=-154. Then x = -154/11 = -14. | linear_equation |
3,736 | exponents | easy | What is 7^3? | 343 | 7^3 means multiply 7 by itself 3 times: 7*7*7 = 343. | exponents |
3,737 | 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 |
3,738 | statistics | easy | What is the mean (average) of 24, 34, 52? | 36.67 | Mean = sum/count. Sum = 24+34+52=110. Count=3. Mean=110/3=36.67. | mean |
3,739 | fractions | medium | What is 8/13 - 3/12? Give as simplified fraction. | 19/52 | Common denominator 156. Numerator 96-39=57. So 57/156 simplifies to 19/52. | fraction_operations |
3,740 | arithmetic | easy | What is 9108 / 69? | 132 | Divide: 9108 ÷ 69 = 132 because 69*132=9108. | division |
3,741 | arithmetic | easy | What is 700 + 383 * 13? Remember order of operations. | 5679 | Order of operations (PEMDAS): first 383*13=4979, then 700+4979=5679. | basic_operations |
3,742 | arithmetic | easy | What is 335 + 5 * 50? Remember order of operations. | 585 | Order of operations (PEMDAS): first 5*50=250, then 335+250=585. | basic_operations |
3,743 | number_theory | medium | What is the GCD (greatest common divisor) of 9 and 23? | 1 | Find greatest number dividing both 9 and 23. Divisors common, greatest is 1. | gcd |
3,744 | statistics | easy | What is the mean (average) of 69, 28, 45? | 47.33 | Mean = sum/count. Sum = 69+28+45=142. Count=3. Mean=142/3=47.33. | mean |
3,745 | arithmetic | easy | What is 41652 / 89? | 468 | Divide: 41652 ÷ 89 = 468 because 89*468=41652. | division |
3,746 | 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 |
3,747 | algebra | easy | Solve for x: 15x - 47 = 238 | 19 | Add 47 to both sides: 15x = 238+47=285. Then x = 285/15 = 19. | linear_equation |
3,748 | arithmetic | easy | What is 958 - 551? | 407 | Subtract: 958 - 551 = 407. | basic_operations |
3,749 | arithmetic | easy | What is 16100 / 46? | 350 | Divide: 16100 ÷ 46 = 350 because 46*350=16100. | division |
3,750 | arithmetic | easy | What is 6435 / 65? | 99 | Divide: 6435 ÷ 65 = 99 because 65*99=6435. | division |
3,751 | word_problems | easy | If you have 89 candies and you buy 36 more candies, how many candies do you have in total? | 125 | Add initial 89 plus bought 36: 89+36=125. | addition_word |
3,752 | word_problems | easy | If you have 19 pencils and you buy 43 more pencils, how many pencils do you have in total? | 62 | Add initial 19 plus bought 43: 19+43=62. | addition_word |
3,753 | arithmetic | easy | What is 347 + 253 * 47? Remember order of operations. | 12238 | Order of operations (PEMDAS): first 253*47=11891, then 347+11891=12238. | basic_operations |
3,754 | statistics | easy | What is the mean (average) of 52, 6, 46? | 34.67 | Mean = sum/count. Sum = 52+6+46=104. Count=3. Mean=104/3=34.67. | mean |
3,755 | arithmetic | easy | What is 91 * 97? | 8827 | Multiply: 91 * 97 = 8827. | basic_operations |
3,756 | arithmetic | easy | What is 3238 divided by 68? Give answer to 2 decimal places. | 47.62 | Calculate 3238/ 68 = 47.6176, rounded to 2 decimals is 47.62. | division |
3,757 | fractions | medium | What is 10/12 + 5/16? Give as simplified fraction. | 55/48 | Common denominator 12*16=192. 10/12=160/192, 5/16=60/192. Sum = 220/192 = 55/48 simplified. | fraction_operations |
3,758 | exponents | easy | What is 12^5? | 248832 | 12^5 means multiply 12 by itself 5 times: 12*12*12*12*12 = 248832. | exponents |
3,759 | calculus | medium | What is the derivative of 7x^5 with respect to x? | 35x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^5] = 7*5*x^4 = 35x^4. | derivative |
3,760 | arithmetic | easy | What is 503 + 25? | 528 | Add the two numbers: 503 + 25 = 528. | basic_operations |
3,761 | statistics | easy | What is the mean (average) of 50, 40, 64, 99, 37? | 58 | Mean = sum/count. Sum = 50+40+64+99+37=290. Count=5. Mean=290/5=58.0. | mean |
3,762 | arithmetic | easy | What is 541 + 852? | 1393 | Add the two numbers: 541 + 852 = 1393. | basic_operations |
3,763 | exponents | easy | What is 11^3? | 1331 | 11^3 means multiply 11 by itself 3 times: 11*11*11 = 1331. | exponents |
3,764 | roots | easy | What is the square root of 2304? | 48 | Find number that when squared gives 2304. 48*48=2304, so sqrt(2304)=48. | square_roots |
3,765 | arithmetic | easy | What is 548 - 29? | 519 | Subtract: 548 - 29 = 519. | basic_operations |
3,766 | number_theory | medium | What is the LCM (least common multiple) of 69 and 7? | 483 | LCM = |69*7| / GCD(69,7). GCD=1, so LCM=483/1=483. | lcm |
3,767 | algebra | medium | Solve for x: x^2 - 7x + 6 = 0 | x = 6, 1 | Factor: (x - 6)(x - 1) = x^2 -(7)x + 6 = 0. So x = 6 or 1. Check sum = 7, product = 6. | quadratic |
3,768 | arithmetic | easy | What is 933 - 220? | 713 | Subtract: 933 - 220 = 713. | basic_operations |
3,769 | percentages | easy | What is 92% of 328? | 301.76 | Calculate 92/100 * 328 = 0.92*328 = 301.76. | percentages |
3,770 | arithmetic | easy | What is 732 + 209? | 941 | Add the two numbers: 732 + 209 = 941. | basic_operations |
3,771 | arithmetic | easy | What is 47 + 945? | 992 | Add the two numbers: 47 + 945 = 992. | basic_operations |
3,772 | arithmetic | easy | What is 117 / 39? | 3 | Divide: 117 ÷ 39 = 3 because 39*3=117. | division |
3,773 | algebra | medium | Solve for x: x^2 + 1x - 6 = 0 | x = 2, -3 | Factor: (x - 2)(x - -3) = x^2 -(-1)x + -6 = 0. So x = 2 or -3. Check sum = -1, product = -6. | quadratic |
3,774 | number_theory | medium | What is the GCD (greatest common divisor) of 52 and 6? | 2 | Find greatest number dividing both 52 and 6. Divisors common, greatest is 2. | gcd |
3,775 | algebra | easy | Solve for x: 20x - 19 = 361 | 19 | Add 19 to both sides: 20x = 361+19=380. Then x = 380/20 = 19. | linear_equation |
3,776 | geometry | easy | Find the circumference of a circle with radius 44. Use pi=3.14159, round to 2 decimals. | 276.46 | Circumference = 2*pi*r = 2*3.14159*44 = 276.46. | circle_circum |
3,777 | exponents | easy | What is 5^4? | 625 | 5^4 means multiply 5 by itself 4 times: 5*5*5*5 = 625. | exponents |
3,778 | 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 |
3,779 | arithmetic | easy | What is 844 + 426 * 53? Remember order of operations. | 23422 | Order of operations (PEMDAS): first 426*53=22578, then 844+22578=23422. | basic_operations |
3,780 | fractions | medium | What is 16/10 * 20/2? Give as simplified fraction. | 16 | Multiply numerators: 16*20=320. Denominators: 10*2=20. Simplify by gcd 20 to get 16. | fraction_operations |
3,781 | 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 |
3,782 | algebra | easy | Solve for x: 8x - 41 = 119 | 20 | Add 41 to both sides: 8x = 119+41=160. Then x = 160/8 = 20. | linear_equation |
3,783 | arithmetic | easy | What is 1327 divided by 16? Give answer to 2 decimal places. | 82.94 | Calculate 1327/ 16 = 82.9375, rounded to 2 decimals is 82.94. | division |
3,784 | arithmetic | easy | What is 188 + 550? | 738 | Add the two numbers: 188 + 550 = 738. | basic_operations |
3,785 | geometry | easy | Find the circumference of a circle with radius 19. Use pi=3.14159, round to 2 decimals. | 119.38 | Circumference = 2*pi*r = 2*3.14159*19 = 119.38. | circle_circum |
3,786 | exponents | easy | What is 6^4? | 1296 | 6^4 means multiply 6 by itself 4 times: 6*6*6*6 = 1296. | exponents |
3,787 | arithmetic | easy | What is 6138 / 99? | 62 | Divide: 6138 ÷ 99 = 62 because 99*62=6138. | division |
3,788 | arithmetic | easy | What is 569 + 867 * 64? Remember order of operations. | 56057 | Order of operations (PEMDAS): first 867*64=55488, then 569+55488=56057. | basic_operations |
3,789 | arithmetic | easy | What is 481 + 491 * 14? Remember order of operations. | 7355 | Order of operations (PEMDAS): first 491*14=6874, then 481+6874=7355. | basic_operations |
3,790 | 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 |
3,791 | arithmetic | easy | What is 447 - 248? | 199 | Subtract: 447 - 248 = 199. | basic_operations |
3,792 | algebra | easy | Solve for x: 15x + 26 = -244 | -18 | Subtract 26 from both sides: 15x = -244-26=-270. Then divide by 15: x = -270/15 = -18. | linear_equation |
3,793 | fractions | medium | What is 7/12 + 2/20? Give as simplified fraction. | 41/60 | Common denominator 12*20=240. 7/12=140/240, 2/20=24/240. Sum = 164/240 = 41/60 simplified. | fraction_operations |
3,794 | algebra | easy | Solve for x: 11x - 18 = -117 | -9 | Add 18 to both sides: 11x = -117+18=-99. Then x = -99/11 = -9. | linear_equation |
3,795 | number_theory | medium | What is the GCD (greatest common divisor) of 60 and 26? | 2 | Find greatest number dividing both 60 and 26. Divisors common, greatest is 2. | gcd |
3,796 | 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 |
3,797 | exponents | easy | What is 10^2? | 100 | 10^2 means multiply 10 by itself 2 times: 10*10 = 100. | exponents |
3,798 | percentages | easy | What is 24% of 643? | 154.32 | Calculate 24/100 * 643 = 0.24*643 = 154.32. | percentages |
3,799 | fractions | medium | What is 11/16 + 1/16? Give as simplified fraction. | 3/4 | Common denominator 16*16=256. 11/16=176/256, 1/16=16/256. Sum = 192/256 = 3/4 simplified. | fraction_operations |
3,800 | percentages | easy | What is 78% of 542? | 422.76 | Calculate 78/100 * 542 = 0.78*542 = 422.76. | percentages |
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