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 |
|---|---|---|---|---|---|---|
9,601 | algebra | medium | Solve for x: x^2 + 8x - 9 = 0 | x = 1, -9 | Factor: (x - 1)(x - -9) = x^2 -(-8)x + -9 = 0. So x = 1 or -9. Check sum = -8, product = -9. | quadratic |
9,602 | arithmetic | easy | What is 508 - 366? | 142 | Subtract: 508 - 366 = 142. | basic_operations |
9,603 | geometry | easy | Find the area of a triangle with base 54 and height 82. | 2214 | Area = 0.5*base*height = 0.5*54*82 = 2214. | triangle_area |
9,604 | statistics | easy | What is the mean (average) of 47, 70, 16? | 44.33 | Mean = sum/count. Sum = 47+70+16=133. Count=3. Mean=133/3=44.33. | mean |
9,605 | algebra | easy | Solve for x: 4x + 12 = 56 | 11 | Subtract 12 from both sides: 4x = 56-12=44. Then divide by 4: x = 44/4 = 11. | linear_equation |
9,606 | geometry | easy | Find the area of a triangle with base 58 and height 37. | 1073 | Area = 0.5*base*height = 0.5*58*37 = 1073. | triangle_area |
9,607 | statistics | easy | What is the mean (average) of 78, 31, 48, 79? | 59 | Mean = sum/count. Sum = 78+31+48+79=236. Count=4. Mean=236/4=59.0. | mean |
9,608 | roots | easy | What is the square root of 1764? | 42 | Find number that when squared gives 1764. 42*42=1764, so sqrt(1764)=42. | square_roots |
9,609 | exponents | easy | What is 5^3? | 125 | 5^3 means multiply 5 by itself 3 times: 5*5*5 = 125. | exponents |
9,610 | number_theory | medium | What is the LCM (least common multiple) of 50 and 78? | 1950 | LCM = |50*78| / GCD(50,78). GCD=2, so LCM=3900/2=1950. | lcm |
9,611 | arithmetic | easy | What is 4320 / 24? | 180 | Divide: 4320 ÷ 24 = 180 because 24*180=4320. | division |
9,612 | arithmetic | easy | What is 49 * 33? | 1617 | Multiply: 49 * 33 = 1617. | basic_operations |
9,613 | arithmetic | easy | What is 4116 / 21? | 196 | Divide: 4116 ÷ 21 = 196 because 21*196=4116. | division |
9,614 | arithmetic | easy | What is 25 * 27? | 675 | Multiply: 25 * 27 = 675. | basic_operations |
9,615 | arithmetic | easy | What is 218 + 643? | 861 | Add the two numbers: 218 + 643 = 861. | basic_operations |
9,616 | statistics | easy | What is the mean (average) of 28, 6, 42, 83, 51? | 42 | Mean = sum/count. Sum = 28+6+42+83+51=210. Count=5. Mean=210/5=42.0. | mean |
9,617 | algebra | easy | Solve for x: 17x + 44 = 214 | 10 | Subtract 44 from both sides: 17x = 214-44=170. Then divide by 17: x = 170/17 = 10. | linear_equation |
9,618 | number_theory | medium | What is the LCM (least common multiple) of 30 and 31? | 930 | LCM = |30*31| / GCD(30,31). GCD=1, so LCM=930/1=930. | lcm |
9,619 | roots | easy | What is the square root of 144? | 12 | Find number that when squared gives 144. 12*12=144, so sqrt(144)=12. | square_roots |
9,620 | 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 |
9,621 | algebra | medium | Solve for x: x^2 + 15x + 54 = 0 | x = -9, -6 | Factor: (x - -9)(x - -6) = x^2 -(-15)x + 54 = 0. So x = -9 or -6. Check sum = -15, product = 54. | quadratic |
9,622 | geometry | easy | Find the area of a triangle with base 63 and height 33. | 1039.5 | Area = 0.5*base*height = 0.5*63*33 = 1039.5. | triangle_area |
9,623 | statistics | easy | What is the mean (average) of 16, 15, 24, 72, 21? | 29.6 | Mean = sum/count. Sum = 16+15+24+72+21=148. Count=5. Mean=148/5=29.6. | mean |
9,624 | 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 |
9,625 | fractions | medium | What is 10/13 + 4/16? Give as simplified fraction. | 53/52 | Common denominator 13*16=208. 10/13=160/208, 4/16=52/208. Sum = 212/208 = 53/52 simplified. | fraction_operations |
9,626 | algebra | medium | Solve for x: x^2 + 12x + 36 = 0 | x = -6 | Factor as (x - -6)^2 = 0, so root is -6 (double root). Sum of roots = -12, product = 36. | quadratic |
9,627 | percentages | easy | What is 11% of 452? | 49.72 | Calculate 11/100 * 452 = 0.11*452 = 49.72. | percentages |
9,628 | word_problems | easy | If you have 70 dollars and you buy 28 more dollars, how many dollars do you have in total? | 98 | Add initial 70 plus bought 28: 70+28=98. | addition_word |
9,629 | arithmetic | easy | What is 36 * 88? | 3168 | Multiply: 36 * 88 = 3168. | basic_operations |
9,630 | word_problems | easy | If you have 52 apples and you buy 49 more apples, how many apples do you have in total? | 101 | Add initial 52 plus bought 49: 52+49=101. | addition_word |
9,631 | roots | easy | What is the square root of 441? | 21 | Find number that when squared gives 441. 21*21=441, so sqrt(441)=21. | square_roots |
9,632 | statistics | easy | What is the mean (average) of 85, 64, 93, 62, 100? | 80.8 | Mean = sum/count. Sum = 85+64+93+62+100=404. Count=5. Mean=404/5=80.8. | mean |
9,633 | arithmetic | easy | What is 470 + 308? | 778 | Add the two numbers: 470 + 308 = 778. | basic_operations |
9,634 | exponents | easy | What is 5^4? | 625 | 5^4 means multiply 5 by itself 4 times: 5*5*5*5 = 625. | exponents |
9,635 | roots | easy | What is the square root of 196? | 14 | Find number that when squared gives 196. 14*14=196, so sqrt(196)=14. | square_roots |
9,636 | number_theory | medium | What is the GCD (greatest common divisor) of 32 and 65? | 1 | Find greatest number dividing both 32 and 65. Divisors common, greatest is 1. | gcd |
9,637 | arithmetic | easy | What is 707 + 339 * 64? Remember order of operations. | 22403 | Order of operations (PEMDAS): first 339*64=21696, then 707+21696=22403. | basic_operations |
9,638 | algebra | easy | Solve for x: 15x - 30 = -285 | -17 | Add 30 to both sides: 15x = -285+30=-255. Then x = -255/15 = -17. | linear_equation |
9,639 | geometry | easy | Find the area of a triangle with base 5 and height 94. | 235 | Area = 0.5*base*height = 0.5*5*94 = 235. | triangle_area |
9,640 | fractions | medium | What is 13/20 * 12/16? Give as simplified fraction. | 39/80 | Multiply numerators: 13*12=156. Denominators: 20*16=320. Simplify by gcd 4 to get 39/80. | fraction_operations |
9,641 | number_theory | medium | What is the LCM (least common multiple) of 54 and 24? | 216 | LCM = |54*24| / GCD(54,24). GCD=6, so LCM=1296/6=216. | lcm |
9,642 | fractions | medium | What is 7/20 * 4/15? Give as simplified fraction. | 7/75 | Multiply numerators: 7*4=28. Denominators: 20*15=300. Simplify by gcd 4 to get 7/75. | fraction_operations |
9,643 | calculus | medium | What is the derivative of 8x^8 with respect to x? | 64x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^8] = 8*8*x^7 = 64x^7. | derivative |
9,644 | arithmetic | easy | What is 826 - 534? | 292 | Subtract: 826 - 534 = 292. | basic_operations |
9,645 | 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 |
9,646 | percentages | easy | What is 100% of 945? | 945 | Calculate 100/100 * 945 = 1.0*945 = 945. | percentages |
9,647 | 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 |
9,648 | arithmetic | easy | What is 805 + 735 * 9? Remember order of operations. | 7420 | Order of operations (PEMDAS): first 735*9=6615, then 805+6615=7420. | basic_operations |
9,649 | statistics | easy | What is the mean (average) of 76, 61, 34, 80, 25? | 55.2 | Mean = sum/count. Sum = 76+61+34+80+25=276. Count=5. Mean=276/5=55.2. | mean |
9,650 | number_theory | medium | What is the GCD (greatest common divisor) of 36 and 75? | 3 | Find greatest number dividing both 36 and 75. Divisors common, greatest is 3. | gcd |
9,651 | arithmetic | easy | What is 111 divided by 2? Give answer to 2 decimal places. | 55.5 | Calculate 111/ 2 = 55.5000, rounded to 2 decimals is 55.5. | division |
9,652 | arithmetic | easy | What is 14268 / 29? | 492 | Divide: 14268 ÷ 29 = 492 because 29*492=14268. | division |
9,653 | number_theory | medium | What is the GCD (greatest common divisor) of 58 and 42? | 2 | Find greatest number dividing both 58 and 42. Divisors common, greatest is 2. | gcd |
9,654 | exponents | easy | What is 10^2? | 100 | 10^2 means multiply 10 by itself 2 times: 10*10 = 100. | exponents |
9,655 | arithmetic | easy | What is 2183 divided by 13? Give answer to 2 decimal places. | 167.92 | Calculate 2183/ 13 = 167.9231, rounded to 2 decimals is 167.92. | division |
9,656 | arithmetic | easy | What is 876 - 194? | 682 | Subtract: 876 - 194 = 682. | basic_operations |
9,657 | arithmetic | easy | What is 659 - 95? | 564 | Subtract: 659 - 95 = 564. | basic_operations |
9,658 | 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 |
9,659 | exponents | easy | What is 7^4? | 2401 | 7^4 means multiply 7 by itself 4 times: 7*7*7*7 = 2401. | exponents |
9,660 | exponents | easy | What is 8^3? | 512 | 8^3 means multiply 8 by itself 3 times: 8*8*8 = 512. | exponents |
9,661 | arithmetic | easy | What is 934 + 183? | 1117 | Add the two numbers: 934 + 183 = 1117. | basic_operations |
9,662 | geometry | easy | Find the circumference of a circle with radius 40. Use pi=3.14159, round to 2 decimals. | 251.33 | Circumference = 2*pi*r = 2*3.14159*40 = 251.33. | circle_circum |
9,663 | algebra | medium | Solve for x: x^2 + 9x + 18 = 0 | x = -6, -3 | Factor: (x - -6)(x - -3) = x^2 -(-9)x + 18 = 0. So x = -6 or -3. Check sum = -9, product = 18. | quadratic |
9,664 | exponents | easy | What is 2^5? | 32 | 2^5 means multiply 2 by itself 5 times: 2*2*2*2*2 = 32. | exponents |
9,665 | arithmetic | easy | What is 38 + 30 * 32? Remember order of operations. | 998 | Order of operations (PEMDAS): first 30*32=960, then 38+960=998. | basic_operations |
9,666 | 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 |
9,667 | 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 |
9,668 | statistics | easy | What is the mean (average) of 7, 93, 85, 7, 54? | 49.2 | Mean = sum/count. Sum = 7+93+85+7+54=246. Count=5. Mean=246/5=49.2. | mean |
9,669 | arithmetic | easy | What is 68 + 10 * 32? Remember order of operations. | 388 | Order of operations (PEMDAS): first 10*32=320, then 68+320=388. | basic_operations |
9,670 | number_theory | medium | What is the GCD (greatest common divisor) of 14 and 51? | 1 | Find greatest number dividing both 14 and 51. Divisors common, greatest is 1. | gcd |
9,671 | 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 |
9,672 | arithmetic | easy | What is 11 + 95 * 98? Remember order of operations. | 9321 | Order of operations (PEMDAS): first 95*98=9310, then 11+9310=9321. | basic_operations |
9,673 | algebra | medium | Solve for x: x^2 + 6x + 5 = 0 | x = -5, -1 | Factor: (x - -5)(x - -1) = x^2 -(-6)x + 5 = 0. So x = -5 or -1. Check sum = -6, product = 5. | quadratic |
9,674 | arithmetic | easy | What is 11136 / 64? | 174 | Divide: 11136 ÷ 64 = 174 because 64*174=11136. | division |
9,675 | 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 |
9,676 | 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 |
9,677 | geometry | easy | Find the area of a rectangle with length 68 and width 94. | 6392 | Area = length * width = 68*94 = 6392. | rectangle_area |
9,678 | roots | easy | What is the square root of 324? | 18 | Find number that when squared gives 324. 18*18=324, so sqrt(324)=18. | square_roots |
9,679 | arithmetic | easy | What is 2912 / 26? | 112 | Divide: 2912 ÷ 26 = 112 because 26*112=2912. | division |
9,680 | 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 |
9,681 | number_theory | medium | What is the GCD (greatest common divisor) of 94 and 2? | 2 | Find greatest number dividing both 94 and 2. Divisors common, greatest is 2. | gcd |
9,682 | 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 |
9,683 | arithmetic | easy | What is 98 * 41? | 4018 | Multiply: 98 * 41 = 4018. | basic_operations |
9,684 | word_problems | easy | If you have 87 apples and you buy 40 more apples, how many apples do you have in total? | 127 | Add initial 87 plus bought 40: 87+40=127. | addition_word |
9,685 | number_theory | medium | What is the GCD (greatest common divisor) of 94 and 61? | 1 | Find greatest number dividing both 94 and 61. Divisors common, greatest is 1. | gcd |
9,686 | arithmetic | easy | What is 39 + 76 * 23? Remember order of operations. | 1787 | Order of operations (PEMDAS): first 76*23=1748, then 39+1748=1787. | basic_operations |
9,687 | arithmetic | easy | What is 88 * 14? | 1232 | Multiply: 88 * 14 = 1232. | basic_operations |
9,688 | algebra | medium | Solve for x: x^2 - 16x + 64 = 0 | x = 8 | Factor as (x - 8)^2 = 0, so root is 8 (double root). Sum of roots = 16, product = 64. | quadratic |
9,689 | geometry | easy | Find the area of a triangle with base 15 and height 38. | 285 | Area = 0.5*base*height = 0.5*15*38 = 285. | triangle_area |
9,690 | arithmetic | easy | What is 152 / 38? | 4 | Divide: 152 ÷ 38 = 4 because 38*4=152. | division |
9,691 | number_theory | medium | What is the LCM (least common multiple) of 89 and 91? | 8099 | LCM = |89*91| / GCD(89,91). GCD=1, so LCM=8099/1=8099. | lcm |
9,692 | fractions | medium | What is 19/5 - 10/7? Give as simplified fraction. | 83/35 | Common denominator 35. Numerator 133-50=83. So 83/35 simplifies to 83/35. | fraction_operations |
9,693 | roots | easy | What is the square root of 100? | 10 | Find number that when squared gives 100. 10*10=100, so sqrt(100)=10. | square_roots |
9,694 | arithmetic | easy | What is 4 * 14? | 56 | Multiply: 4 * 14 = 56. | basic_operations |
9,695 | arithmetic | easy | What is 83 * 39? | 3237 | Multiply: 83 * 39 = 3237. | basic_operations |
9,696 | 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 |
9,697 | calculus | medium | What is the derivative of 6x^5 with respect to x? | 30x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^5] = 6*5*x^4 = 30x^4. | derivative |
9,698 | exponents | easy | What is 10^2? | 100 | 10^2 means multiply 10 by itself 2 times: 10*10 = 100. | exponents |
9,699 | algebra | easy | Solve for x: 15x - 27 = 243 | 18 | Add 27 to both sides: 15x = 243+27=270. Then x = 270/15 = 18. | linear_equation |
9,700 | arithmetic | easy | What is 11212 divided by 33? Give answer to 2 decimal places. | 339.76 | Calculate 11212/ 33 = 339.7576, rounded to 2 decimals is 339.76. | division |
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