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 |
|---|---|---|---|---|---|---|
2,701 | roots | easy | What is the square root of 1521? | 39 | Find number that when squared gives 1521. 39*39=1521, so sqrt(1521)=39. | square_roots |
2,702 | algebra | medium | Solve for x: x^2 + 3x - 18 = 0 | x = 3, -6 | Factor: (x - 3)(x - -6) = x^2 -(-3)x + -18 = 0. So x = 3 or -6. Check sum = -3, product = -18. | quadratic |
2,703 | exponents | easy | What is 11^4? | 14641 | 11^4 means multiply 11 by itself 4 times: 11*11*11*11 = 14641. | exponents |
2,704 | number_theory | medium | What is the LCM (least common multiple) of 14 and 35? | 70 | LCM = |14*35| / GCD(14,35). GCD=7, so LCM=490/7=70. | lcm |
2,705 | number_theory | medium | What is the GCD (greatest common divisor) of 34 and 92? | 2 | Find greatest number dividing both 34 and 92. Divisors common, greatest is 2. | gcd |
2,706 | arithmetic | easy | What is 19 + 41 * 20? Remember order of operations. | 839 | Order of operations (PEMDAS): first 41*20=820, then 19+820=839. | basic_operations |
2,707 | word_problems | easy | If you have 97 apples and you buy 31 more apples, how many apples do you have in total? | 128 | Add initial 97 plus bought 31: 97+31=128. | addition_word |
2,708 | arithmetic | easy | What is 16425 / 75? | 219 | Divide: 16425 ÷ 75 = 219 because 75*219=16425. | division |
2,709 | arithmetic | easy | What is 331 - 131? | 200 | Subtract: 331 - 131 = 200. | basic_operations |
2,710 | statistics | easy | What is the mean (average) of 62, 89, 53, 78? | 70.5 | Mean = sum/count. Sum = 62+89+53+78=282. Count=4. Mean=282/4=70.5. | mean |
2,711 | roots | easy | What is the square root of 81? | 9 | Find number that when squared gives 81. 9*9=81, so sqrt(81)=9. | square_roots |
2,712 | percentages | easy | What is 50% of 429? | 214.5 | Calculate 50/100 * 429 = 0.5*429 = 214.5. | percentages |
2,713 | statistics | easy | What is the mean (average) of 69, 64, 69, 69, 30? | 60.2 | Mean = sum/count. Sum = 69+64+69+69+30=301. Count=5. Mean=301/5=60.2. | mean |
2,714 | calculus | medium | What is the derivative of 10x^2 with respect to x? | 20x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^2] = 10*2*x^1 = 20x. | derivative |
2,715 | 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 |
2,716 | percentages | easy | What is 90% of 90? | 81 | Calculate 90/100 * 90 = 0.9*90 = 81. | percentages |
2,717 | percentages | easy | What is 47% of 3? | 1.41 | Calculate 47/100 * 3 = 0.47*3 = 1.41. | percentages |
2,718 | fractions | medium | What is 1/13 + 18/17? Give as simplified fraction. | 251/221 | Common denominator 13*17=221. 1/13=17/221, 18/17=234/221. Sum = 251/221 = 251/221 simplified. | fraction_operations |
2,719 | arithmetic | easy | What is 4203 / 9? | 467 | Divide: 4203 ÷ 9 = 467 because 9*467=4203. | division |
2,720 | algebra | easy | Solve for x: 10x + 8 = -102 | -11 | Subtract 8 from both sides: 10x = -102-8=-110. Then divide by 10: x = -110/10 = -11. | linear_equation |
2,721 | 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 |
2,722 | fractions | medium | What is 8/3 * 5/5? Give as simplified fraction. | 8/3 | Multiply numerators: 8*5=40. Denominators: 3*5=15. Simplify by gcd 5 to get 8/3. | fraction_operations |
2,723 | algebra | easy | Solve for x: 13x + 43 = -204 | -19 | Subtract 43 from both sides: 13x = -204-43=-247. Then divide by 13: x = -247/13 = -19. | linear_equation |
2,724 | 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 |
2,725 | arithmetic | easy | What is 10 * 62? | 620 | Multiply: 10 * 62 = 620. | basic_operations |
2,726 | algebra | medium | Solve for x: x^2 + 16x + 60 = 0 | x = -10, -6 | Factor: (x - -10)(x - -6) = x^2 -(-16)x + 60 = 0. So x = -10 or -6. Check sum = -16, product = 60. | quadratic |
2,727 | number_theory | medium | What is the GCD (greatest common divisor) of 19 and 11? | 1 | Find greatest number dividing both 19 and 11. Divisors common, greatest is 1. | gcd |
2,728 | arithmetic | easy | What is 13 + 583? | 596 | Add the two numbers: 13 + 583 = 596. | basic_operations |
2,729 | statistics | easy | What is the mean (average) of 18, 96, 68, 90, 39? | 62.2 | Mean = sum/count. Sum = 18+96+68+90+39=311. Count=5. Mean=311/5=62.2. | mean |
2,730 | statistics | easy | What is the mean (average) of 93, 44, 57, 83? | 69.25 | Mean = sum/count. Sum = 93+44+57+83=277. Count=4. Mean=277/4=69.25. | mean |
2,731 | arithmetic | easy | What is 294 + 114? | 408 | Add the two numbers: 294 + 114 = 408. | basic_operations |
2,732 | arithmetic | easy | What is 21 * 2? | 42 | Multiply: 21 * 2 = 42. | basic_operations |
2,733 | 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 |
2,734 | word_problems | easy | If you have 75 dollars and you buy 46 more dollars, how many dollars do you have in total? | 121 | Add initial 75 plus bought 46: 75+46=121. | addition_word |
2,735 | exponents | easy | What is 5^5? | 3125 | 5^5 means multiply 5 by itself 5 times: 5*5*5*5*5 = 3125. | exponents |
2,736 | algebra | medium | Solve for x: x^2 + 10x + 16 = 0 | x = -2, -8 | Factor: (x - -2)(x - -8) = x^2 -(-10)x + 16 = 0. So x = -2 or -8. Check sum = -10, product = 16. | quadratic |
2,737 | calculus | medium | What is the derivative of 4x^3 with respect to x? | 12x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^3] = 4*3*x^2 = 12x^2. | derivative |
2,738 | calculus | medium | What is the derivative of 1x^6 with respect to x? | 6x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^6] = 1*6*x^5 = 6x^5. | derivative |
2,739 | percentages | easy | What is 51% of 189? | 96.39 | Calculate 51/100 * 189 = 0.51*189 = 96.39. | percentages |
2,740 | arithmetic | easy | What is 837 - 710? | 127 | Subtract: 837 - 710 = 127. | basic_operations |
2,741 | 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 |
2,742 | algebra | medium | Solve for x: x^2 + 8x - 9 = 0 | x = -9, 1 | Factor: (x - -9)(x - 1) = x^2 -(-8)x + -9 = 0. So x = -9 or 1. Check sum = -8, product = -9. | quadratic |
2,743 | 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 |
2,744 | geometry | easy | Find the area of a rectangle with length 14 and width 10. | 140 | Area = length * width = 14*10 = 140. | rectangle_area |
2,745 | number_theory | medium | What is the LCM (least common multiple) of 78 and 100? | 3900 | LCM = |78*100| / GCD(78,100). GCD=2, so LCM=7800/2=3900. | lcm |
2,746 | arithmetic | easy | What is 14 + 9 * 21? Remember order of operations. | 203 | Order of operations (PEMDAS): first 9*21=189, then 14+189=203. | basic_operations |
2,747 | arithmetic | easy | What is 775 + 932? | 1707 | Add the two numbers: 775 + 932 = 1707. | basic_operations |
2,748 | arithmetic | easy | What is 73 * 6? | 438 | Multiply: 73 * 6 = 438. | basic_operations |
2,749 | statistics | easy | What is the mean (average) of 7, 41, 12? | 20 | Mean = sum/count. Sum = 7+41+12=60. Count=3. Mean=60/3=20.0. | mean |
2,750 | exponents | easy | What is 2^4? | 16 | 2^4 means multiply 2 by itself 4 times: 2*2*2*2 = 16. | exponents |
2,751 | exponents | easy | What is 8^3? | 512 | 8^3 means multiply 8 by itself 3 times: 8*8*8 = 512. | exponents |
2,752 | roots | easy | What is the square root of 2401? | 49 | Find number that when squared gives 2401. 49*49=2401, so sqrt(2401)=49. | square_roots |
2,753 | 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 |
2,754 | algebra | easy | Solve for x: 4x - 8 = 16 | 6 | Add 8 to both sides: 4x = 16+8=24. Then x = 24/4 = 6. | linear_equation |
2,755 | arithmetic | easy | What is 27324 / 66? | 414 | Divide: 27324 ÷ 66 = 414 because 66*414=27324. | division |
2,756 | calculus | medium | What is the derivative of 10x^5 with respect to x? | 50x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^5] = 10*5*x^4 = 50x^4. | derivative |
2,757 | arithmetic | easy | What is 60 * 11? | 660 | Multiply: 60 * 11 = 660. | basic_operations |
2,758 | arithmetic | easy | What is 976 + 736? | 1712 | Add the two numbers: 976 + 736 = 1712. | basic_operations |
2,759 | algebra | easy | Solve for x: 6x + 14 = 92 | 13 | Subtract 14 from both sides: 6x = 92-14=78. Then divide by 6: x = 78/6 = 13. | linear_equation |
2,760 | roots | easy | What is the square root of 841? | 29 | Find number that when squared gives 841. 29*29=841, so sqrt(841)=29. | square_roots |
2,761 | algebra | easy | Solve for x: 11x - 13 = 20 | 3 | Add 13 to both sides: 11x = 20+13=33. Then x = 33/11 = 3. | linear_equation |
2,762 | 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 |
2,763 | calculus | medium | What is the derivative of 4x^3 with respect to x? | 12x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^3] = 4*3*x^2 = 12x^2. | derivative |
2,764 | arithmetic | easy | What is 64 * 13? | 832 | Multiply: 64 * 13 = 832. | basic_operations |
2,765 | algebra | easy | Solve for x: 10x + 20 = -130 | -15 | Subtract 20 from both sides: 10x = -130-20=-150. Then divide by 10: x = -150/10 = -15. | linear_equation |
2,766 | statistics | easy | What is the mean (average) of 59, 41, 22? | 40.67 | Mean = sum/count. Sum = 59+41+22=122. Count=3. Mean=122/3=40.67. | mean |
2,767 | exponents | easy | What is 4^2? | 16 | 4^2 means multiply 4 by itself 2 times: 4*4 = 16. | exponents |
2,768 | geometry | easy | Find the area of a triangle with base 47 and height 46. | 1081 | Area = 0.5*base*height = 0.5*47*46 = 1081. | triangle_area |
2,769 | arithmetic | easy | What is 184 + 73 * 91? Remember order of operations. | 6827 | Order of operations (PEMDAS): first 73*91=6643, then 184+6643=6827. | basic_operations |
2,770 | statistics | easy | What is the mean (average) of 98, 57, 84, 18? | 64.25 | Mean = sum/count. Sum = 98+57+84+18=257. Count=4. Mean=257/4=64.25. | mean |
2,771 | arithmetic | easy | What is 18500 / 74? | 250 | Divide: 18500 ÷ 74 = 250 because 74*250=18500. | division |
2,772 | exponents | easy | What is 8^5? | 32768 | 8^5 means multiply 8 by itself 5 times: 8*8*8*8*8 = 32768. | exponents |
2,773 | algebra | easy | Solve for x: 15x - 4 = 176 | 12 | Add 4 to both sides: 15x = 176+4=180. Then x = 180/15 = 12. | linear_equation |
2,774 | roots | easy | What is the square root of 576? | 24 | Find number that when squared gives 576. 24*24=576, so sqrt(576)=24. | square_roots |
2,775 | arithmetic | easy | What is 699 + 424 * 65? Remember order of operations. | 28259 | Order of operations (PEMDAS): first 424*65=27560, then 699+27560=28259. | basic_operations |
2,776 | arithmetic | easy | What is 32 * 90? | 2880 | Multiply: 32 * 90 = 2880. | basic_operations |
2,777 | arithmetic | easy | What is 874 - 159? | 715 | Subtract: 874 - 159 = 715. | basic_operations |
2,778 | calculus | medium | What is the derivative of 2x^8 with respect to x? | 16x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^8] = 2*8*x^7 = 16x^7. | derivative |
2,779 | percentages | easy | What is 50% of 896? | 448 | Calculate 50/100 * 896 = 0.5*896 = 448. | percentages |
2,780 | word_problems | easy | If you have 90 dollars and you buy 6 more dollars, how many dollars do you have in total? | 96 | Add initial 90 plus bought 6: 90+6=96. | addition_word |
2,781 | word_problems | easy | If you have 64 pencils and you buy 42 more pencils, how many pencils do you have in total? | 106 | Add initial 64 plus bought 42: 64+42=106. | addition_word |
2,782 | word_problems | easy | If you have 18 books and you buy 6 more books, how many books do you have in total? | 24 | Add initial 18 plus bought 6: 18+6=24. | addition_word |
2,783 | arithmetic | easy | What is 20488 / 52? | 394 | Divide: 20488 ÷ 52 = 394 because 52*394=20488. | division |
2,784 | calculus | medium | What is the derivative of 2x^4 with respect to x? | 8x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^4] = 2*4*x^3 = 8x^3. | derivative |
2,785 | roots | easy | What is the square root of 484? | 22 | Find number that when squared gives 484. 22*22=484, so sqrt(484)=22. | square_roots |
2,786 | statistics | easy | What is the mean (average) of 90, 95, 61? | 82 | Mean = sum/count. Sum = 90+95+61=246. Count=3. Mean=246/3=82.0. | mean |
2,787 | arithmetic | easy | What is 8621 / 37? | 233 | Divide: 8621 ÷ 37 = 233 because 37*233=8621. | division |
2,788 | statistics | easy | What is the mean (average) of 82, 28, 41? | 50.33 | Mean = sum/count. Sum = 82+28+41=151. Count=3. Mean=151/3=50.33. | mean |
2,789 | arithmetic | easy | What is 616 + 793? | 1409 | Add the two numbers: 616 + 793 = 1409. | basic_operations |
2,790 | number_theory | medium | What is the GCD (greatest common divisor) of 56 and 61? | 1 | Find greatest number dividing both 56 and 61. Divisors common, greatest is 1. | gcd |
2,791 | arithmetic | easy | What is 55 + 35 * 3? Remember order of operations. | 160 | Order of operations (PEMDAS): first 35*3=105, then 55+105=160. | basic_operations |
2,792 | algebra | medium | Solve for x: x^2 + 14x + 48 = 0 | x = -8, -6 | Factor: (x - -8)(x - -6) = x^2 -(-14)x + 48 = 0. So x = -8 or -6. Check sum = -14, product = 48. | quadratic |
2,793 | arithmetic | easy | What is 415 - 281? | 134 | Subtract: 415 - 281 = 134. | basic_operations |
2,794 | word_problems | easy | If you have 58 books and you buy 34 more books, how many books do you have in total? | 92 | Add initial 58 plus bought 34: 58+34=92. | addition_word |
2,795 | geometry | easy | Find the perimeter of a rectangle with length 7 and width 12. | 38 | Perimeter = 2*(length+width) = 2*(7+12) = 2*19 = 38. | rectangle_perim |
2,796 | 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 |
2,797 | exponents | easy | What is 4^3? | 64 | 4^3 means multiply 4 by itself 3 times: 4*4*4 = 64. | exponents |
2,798 | number_theory | medium | What is the LCM (least common multiple) of 54 and 62? | 1674 | LCM = |54*62| / GCD(54,62). GCD=2, so LCM=3348/2=1674. | lcm |
2,799 | algebra | medium | Solve for x: x^2 - 4x + 3 = 0 | x = 3, 1 | Factor: (x - 3)(x - 1) = x^2 -(4)x + 3 = 0. So x = 3 or 1. Check sum = 4, product = 3. | quadratic |
2,800 | calculus | medium | What is the derivative of 1x^8 with respect to x? | 8x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^8] = 1*8*x^7 = 8x^7. | derivative |
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