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 |
|---|---|---|---|---|---|---|
2,601 | number_theory | medium | What is the LCM (least common multiple) of 55 and 24? | 1320 | LCM = |55*24| / GCD(55,24). GCD=1, so LCM=1320/1=1320. | lcm |
2,602 | arithmetic | easy | What is 19600 divided by 58? Give answer to 2 decimal places. | 337.93 | Calculate 19600/ 58 = 337.9310, rounded to 2 decimals is 337.93. | division |
2,603 | algebra | medium | Solve for x: x^2 + 5x - 6 = 0 | x = -6, 1 | Factor: (x - -6)(x - 1) = x^2 -(-5)x + -6 = 0. So x = -6 or 1. Check sum = -5, product = -6. | quadratic |
2,604 | 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 |
2,605 | number_theory | medium | What is the GCD (greatest common divisor) of 91 and 26? | 13 | Find greatest number dividing both 91 and 26. Divisors common, greatest is 13. | gcd |
2,606 | fractions | medium | What is 10/3 - 5/14? Give as simplified fraction. | 125/42 | Common denominator 42. Numerator 140-15=125. So 125/42 simplifies to 125/42. | fraction_operations |
2,607 | 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 |
2,608 | 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 |
2,609 | geometry | easy | Find the area of a rectangle with length 54 and width 63. | 3402 | Area = length * width = 54*63 = 3402. | rectangle_area |
2,610 | statistics | easy | What is the mean (average) of 92, 17, 42, 97, 98? | 69.2 | Mean = sum/count. Sum = 92+17+42+97+98=346. Count=5. Mean=346/5=69.2. | mean |
2,611 | calculus | medium | What is the derivative of 7x^6 with respect to x? | 42x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^6] = 7*6*x^5 = 42x^5. | derivative |
2,612 | algebra | easy | Solve for x: 4x - 37 = -113 | -19 | Add 37 to both sides: 4x = -113+37=-76. Then x = -76/4 = -19. | linear_equation |
2,613 | algebra | easy | Solve for x: 5x - 6 = 54 | 12 | Add 6 to both sides: 5x = 54+6=60. Then x = 60/5 = 12. | linear_equation |
2,614 | arithmetic | easy | What is 786 + 701? | 1487 | Add the two numbers: 786 + 701 = 1487. | basic_operations |
2,615 | roots | easy | What is the square root of 784? | 28 | Find number that when squared gives 784. 28*28=784, so sqrt(784)=28. | square_roots |
2,616 | arithmetic | easy | What is 492 - 445? | 47 | Subtract: 492 - 445 = 47. | basic_operations |
2,617 | 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 |
2,618 | algebra | easy | Solve for x: 17x - 27 = -112 | -5 | Add 27 to both sides: 17x = -112+27=-85. Then x = -85/17 = -5. | linear_equation |
2,619 | geometry | easy | Find the area of a rectangle with length 34 and width 90. | 3060 | Area = length * width = 34*90 = 3060. | rectangle_area |
2,620 | percentages | easy | What is 86% of 841? | 723.26 | Calculate 86/100 * 841 = 0.86*841 = 723.26. | percentages |
2,621 | 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 |
2,622 | statistics | easy | What is the mean (average) of 14, 90, 94, 65, 79? | 68.4 | Mean = sum/count. Sum = 14+90+94+65+79=342. Count=5. Mean=342/5=68.4. | mean |
2,623 | algebra | medium | Solve for x: x^2 - 4x - 32 = 0 | x = -4, 8 | Factor: (x - -4)(x - 8) = x^2 -(4)x + -32 = 0. So x = -4 or 8. Check sum = 4, product = -32. | quadratic |
2,624 | algebra | easy | Solve for x: 8x - 35 = -131 | -12 | Add 35 to both sides: 8x = -131+35=-96. Then x = -96/8 = -12. | linear_equation |
2,625 | calculus | medium | What is the derivative of 5x^2 with respect to x? | 10x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^2] = 5*2*x^1 = 10x. | derivative |
2,626 | fractions | medium | What is 5/15 + 1/8? Give as simplified fraction. | 11/24 | Common denominator 15*8=120. 5/15=40/120, 1/8=15/120. Sum = 55/120 = 11/24 simplified. | fraction_operations |
2,627 | arithmetic | easy | What is 418 - 390? | 28 | Subtract: 418 - 390 = 28. | basic_operations |
2,628 | percentages | easy | What is 29% of 345? | 100.05 | Calculate 29/100 * 345 = 0.29*345 = 100.05. | percentages |
2,629 | 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 |
2,630 | arithmetic | easy | What is 523 + 438? | 961 | Add the two numbers: 523 + 438 = 961. | basic_operations |
2,631 | geometry | easy | Find the area of a circle with radius 18. Use pi=3.14159, round to 2 decimals. | 1017.88 | Area = pi*r^2 = 3.14159*18^2 = 3.14159*324 = 1017.88. | circle_area |
2,632 | number_theory | medium | What is the GCD (greatest common divisor) of 92 and 54? | 2 | Find greatest number dividing both 92 and 54. Divisors common, greatest is 2. | gcd |
2,633 | roots | easy | What is the square root of 16? | 4 | Find number that when squared gives 16. 4*4=16, so sqrt(16)=4. | square_roots |
2,634 | algebra | medium | Solve for x: x^2 + 19x + 90 = 0 | x = -9, -10 | Factor: (x - -9)(x - -10) = x^2 -(-19)x + 90 = 0. So x = -9 or -10. Check sum = -19, product = 90. | quadratic |
2,635 | arithmetic | easy | What is 677 + 763 * 42? Remember order of operations. | 32723 | Order of operations (PEMDAS): first 763*42=32046, then 677+32046=32723. | basic_operations |
2,636 | geometry | easy | Find the area of a triangle with base 13 and height 56. | 364 | Area = 0.5*base*height = 0.5*13*56 = 364. | triangle_area |
2,637 | algebra | medium | Solve for x: x^2 - 3x - 10 = 0 | x = -2, 5 | Factor: (x - -2)(x - 5) = x^2 -(3)x + -10 = 0. So x = -2 or 5. Check sum = 3, product = -10. | quadratic |
2,638 | number_theory | medium | What is the GCD (greatest common divisor) of 43 and 39? | 1 | Find greatest number dividing both 43 and 39. Divisors common, greatest is 1. | gcd |
2,639 | arithmetic | easy | What is 609 / 87? | 7 | Divide: 609 ÷ 87 = 7 because 87*7=609. | division |
2,640 | 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 |
2,641 | number_theory | medium | What is the LCM (least common multiple) of 96 and 100? | 2400 | LCM = |96*100| / GCD(96,100). GCD=4, so LCM=9600/4=2400. | lcm |
2,642 | percentages | easy | What is 84% of 283? | 237.72 | Calculate 84/100 * 283 = 0.84*283 = 237.72. | percentages |
2,643 | fractions | medium | What is 19/14 + 3/5? Give as simplified fraction. | 137/70 | Common denominator 14*5=70. 19/14=95/70, 3/5=42/70. Sum = 137/70 = 137/70 simplified. | fraction_operations |
2,644 | arithmetic | easy | What is 2107 / 7? | 301 | Divide: 2107 ÷ 7 = 301 because 7*301=2107. | division |
2,645 | fractions | medium | What is 15/5 * 3/19? Give as simplified fraction. | 9/19 | Multiply numerators: 15*3=45. Denominators: 5*19=95. Simplify by gcd 5 to get 9/19. | fraction_operations |
2,646 | roots | easy | What is the square root of 400? | 20 | Find number that when squared gives 400. 20*20=400, so sqrt(400)=20. | square_roots |
2,647 | statistics | easy | What is the mean (average) of 69, 93, 20? | 60.67 | Mean = sum/count. Sum = 69+93+20=182. Count=3. Mean=182/3=60.67. | mean |
2,648 | arithmetic | easy | What is 92 * 33? | 3036 | Multiply: 92 * 33 = 3036. | basic_operations |
2,649 | number_theory | medium | What is the GCD (greatest common divisor) of 47 and 58? | 1 | Find greatest number dividing both 47 and 58. Divisors common, greatest is 1. | gcd |
2,650 | 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 |
2,651 | statistics | easy | What is the mean (average) of 68, 65, 3, 22? | 39.5 | Mean = sum/count. Sum = 68+65+3+22=158. Count=4. Mean=158/4=39.5. | mean |
2,652 | geometry | easy | Find the perimeter of a rectangle with length 38 and width 6. | 88 | Perimeter = 2*(length+width) = 2*(38+6) = 2*44 = 88. | rectangle_perim |
2,653 | arithmetic | easy | What is 814 + 996? | 1810 | Add the two numbers: 814 + 996 = 1810. | basic_operations |
2,654 | 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 |
2,655 | arithmetic | easy | What is 50 * 72? | 3600 | Multiply: 50 * 72 = 3600. | basic_operations |
2,656 | 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 |
2,657 | fractions | medium | What is 6/2 + 6/20? Give as simplified fraction. | 33/10 | Common denominator 2*20=40. 6/2=120/40, 6/20=12/40. Sum = 132/40 = 33/10 simplified. | fraction_operations |
2,658 | arithmetic | easy | What is 951 - 901? | 50 | Subtract: 951 - 901 = 50. | basic_operations |
2,659 | geometry | easy | Find the area of a circle with radius 15. Use pi=3.14159, round to 2 decimals. | 706.86 | Area = pi*r^2 = 3.14159*15^2 = 3.14159*225 = 706.86. | circle_area |
2,660 | exponents | easy | What is 6^2? | 36 | 6^2 means multiply 6 by itself 2 times: 6*6 = 36. | exponents |
2,661 | algebra | medium | Solve for x: x^2 + 12x + 27 = 0 | x = -3, -9 | Factor: (x - -3)(x - -9) = x^2 -(-12)x + 27 = 0. So x = -3 or -9. Check sum = -12, product = 27. | quadratic |
2,662 | percentages | easy | What is 38% of 41? | 15.58 | Calculate 38/100 * 41 = 0.38*41 = 15.58. | percentages |
2,663 | algebra | easy | Solve for x: 9x - 33 = -60 | -3 | Add 33 to both sides: 9x = -60+33=-27. Then x = -27/9 = -3. | linear_equation |
2,664 | arithmetic | easy | What is 15 * 1? | 15 | Multiply: 15 * 1 = 15. | basic_operations |
2,665 | number_theory | medium | What is the LCM (least common multiple) of 42 and 11? | 462 | LCM = |42*11| / GCD(42,11). GCD=1, so LCM=462/1=462. | lcm |
2,666 | algebra | easy | Solve for x: 14x + 28 = 0 | -2 | Subtract 28 from both sides: 14x = 0-28=-28. Then divide by 14: x = -28/14 = -2. | linear_equation |
2,667 | roots | easy | What is the square root of 16? | 4 | Find number that when squared gives 16. 4*4=16, so sqrt(16)=4. | square_roots |
2,668 | arithmetic | easy | What is 36 + 23 * 29? Remember order of operations. | 703 | Order of operations (PEMDAS): first 23*29=667, then 36+667=703. | basic_operations |
2,669 | arithmetic | easy | What is 14 * 93? | 1302 | Multiply: 14 * 93 = 1302. | basic_operations |
2,670 | 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 |
2,671 | fractions | medium | What is 15/9 + 11/10? Give as simplified fraction. | 83/30 | Common denominator 9*10=90. 15/9=150/90, 11/10=99/90. Sum = 249/90 = 83/30 simplified. | fraction_operations |
2,672 | 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 |
2,673 | percentages | easy | What is 94% of 744? | 699.36 | Calculate 94/100 * 744 = 0.94*744 = 699.36. | percentages |
2,674 | 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 |
2,675 | algebra | easy | Solve for x: 16x - 39 = 137 | 11 | Add 39 to both sides: 16x = 137+39=176. Then x = 176/16 = 11. | linear_equation |
2,676 | 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 |
2,677 | algebra | medium | Solve for x: x^2 - 4x - 32 = 0 | x = -4, 8 | Factor: (x - -4)(x - 8) = x^2 -(4)x + -32 = 0. So x = -4 or 8. Check sum = 4, product = -32. | quadratic |
2,678 | statistics | easy | What is the mean (average) of 24, 83, 37, 3, 40? | 37.4 | Mean = sum/count. Sum = 24+83+37+3+40=187. Count=5. Mean=187/5=37.4. | mean |
2,679 | 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 |
2,680 | fractions | medium | What is 3/6 + 3/15? Give as simplified fraction. | 7/10 | Common denominator 6*15=90. 3/6=45/90, 3/15=18/90. Sum = 63/90 = 7/10 simplified. | fraction_operations |
2,681 | word_problems | easy | If you have 87 apples and you buy 26 more apples, how many apples do you have in total? | 113 | Add initial 87 plus bought 26: 87+26=113. | addition_word |
2,682 | algebra | easy | Solve for x: 1x + 27 = 13 | -14 | Subtract 27 from both sides: 1x = 13-27=-14. Then divide by 1: x = -14/1 = -14. | linear_equation |
2,683 | calculus | medium | What is the derivative of 1x^5 with respect to x? | 5x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^5] = 1*5*x^4 = 5x^4. | derivative |
2,684 | arithmetic | easy | What is 1173 / 3? | 391 | Divide: 1173 ÷ 3 = 391 because 3*391=1173. | division |
2,685 | percentages | easy | What is 99% of 86? | 85.14 | Calculate 99/100 * 86 = 0.99*86 = 85.14. | percentages |
2,686 | geometry | easy | Find the perimeter of a rectangle with length 81 and width 77. | 316 | Perimeter = 2*(length+width) = 2*(81+77) = 2*158 = 316. | rectangle_perim |
2,687 | arithmetic | easy | What is 812 + 990? | 1802 | Add the two numbers: 812 + 990 = 1802. | basic_operations |
2,688 | 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 |
2,689 | arithmetic | easy | What is 57 * 21? | 1197 | Multiply: 57 * 21 = 1197. | basic_operations |
2,690 | statistics | easy | What is the mean (average) of 32, 8, 70? | 36.67 | Mean = sum/count. Sum = 32+8+70=110. Count=3. Mean=110/3=36.67. | mean |
2,691 | geometry | easy | Find the area of a triangle with base 16 and height 3. | 24 | Area = 0.5*base*height = 0.5*16*3 = 24. | triangle_area |
2,692 | arithmetic | easy | What is 106 + 558? | 664 | Add the two numbers: 106 + 558 = 664. | basic_operations |
2,693 | 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 |
2,694 | arithmetic | easy | What is 935 + 230? | 1165 | Add the two numbers: 935 + 230 = 1165. | basic_operations |
2,695 | algebra | easy | Solve for x: 12x + 33 = 9 | -2 | Subtract 33 from both sides: 12x = 9-33=-24. Then divide by 12: x = -24/12 = -2. | linear_equation |
2,696 | percentages | easy | What is 88% of 394? | 346.72 | Calculate 88/100 * 394 = 0.88*394 = 346.72. | percentages |
2,697 | arithmetic | easy | What is 5568 / 64? | 87 | Divide: 5568 ÷ 64 = 87 because 64*87=5568. | division |
2,698 | arithmetic | easy | What is 6954 / 38? | 183 | Divide: 6954 ÷ 38 = 183 because 38*183=6954. | division |
2,699 | arithmetic | easy | What is 22704 / 48? | 473 | Divide: 22704 ÷ 48 = 473 because 48*473=22704. | division |
2,700 | algebra | easy | Solve for x: 6x + 4 = 82 | 13 | Subtract 4 from both sides: 6x = 82-4=78. Then divide by 6: x = 78/6 = 13. | linear_equation |
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