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 |
|---|---|---|---|---|---|---|
1,601 | 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 |
1,602 | 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 |
1,603 | fractions | medium | What is 6/17 * 5/8? Give as simplified fraction. | 15/68 | Multiply numerators: 6*5=30. Denominators: 17*8=136. Simplify by gcd 2 to get 15/68. | fraction_operations |
1,604 | calculus | medium | What is the derivative of 6x^8 with respect to x? | 48x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^8] = 6*8*x^7 = 48x^7. | derivative |
1,605 | 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 |
1,606 | exponents | easy | What is 12^3? | 1728 | 12^3 means multiply 12 by itself 3 times: 12*12*12 = 1728. | exponents |
1,607 | algebra | easy | Solve for x: 1x - 41 = -60 | -19 | Add 41 to both sides: 1x = -60+41=-19. Then x = -19/1 = -19. | linear_equation |
1,608 | algebra | easy | Solve for x: 16x + 34 = 146 | 7 | Subtract 34 from both sides: 16x = 146-34=112. Then divide by 16: x = 112/16 = 7. | linear_equation |
1,609 | algebra | easy | Solve for x: 3x - 33 = -15 | 6 | Add 33 to both sides: 3x = -15+33=18. Then x = 18/3 = 6. | linear_equation |
1,610 | word_problems | easy | If you have 94 candies and you buy 39 more candies, how many candies do you have in total? | 133 | Add initial 94 plus bought 39: 94+39=133. | addition_word |
1,611 | algebra | medium | Solve for x: x^2 - 10x + 24 = 0 | x = 4, 6 | Factor: (x - 4)(x - 6) = x^2 -(10)x + 24 = 0. So x = 4 or 6. Check sum = 10, product = 24. | quadratic |
1,612 | 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 |
1,613 | word_problems | easy | If you have 54 books and you buy 23 more books, how many books do you have in total? | 77 | Add initial 54 plus bought 23: 54+23=77. | addition_word |
1,614 | 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 |
1,615 | arithmetic | easy | What is 592 + 511? | 1103 | Add the two numbers: 592 + 511 = 1103. | basic_operations |
1,616 | geometry | easy | Find the circumference of a circle with radius 35. Use pi=3.14159, round to 2 decimals. | 219.91 | Circumference = 2*pi*r = 2*3.14159*35 = 219.91. | circle_circum |
1,617 | number_theory | medium | What is the LCM (least common multiple) of 5 and 5? | 5 | LCM = |5*5| / GCD(5,5). GCD=5, so LCM=25/5=5. | lcm |
1,618 | number_theory | medium | What is the LCM (least common multiple) of 15 and 75? | 75 | LCM = |15*75| / GCD(15,75). GCD=15, so LCM=1125/15=75. | lcm |
1,619 | arithmetic | easy | What is 97 + 100 * 94? Remember order of operations. | 9497 | Order of operations (PEMDAS): first 100*94=9400, then 97+9400=9497. | basic_operations |
1,620 | arithmetic | easy | What is 536 + 912 * 79? Remember order of operations. | 72584 | Order of operations (PEMDAS): first 912*79=72048, then 536+72048=72584. | basic_operations |
1,621 | arithmetic | easy | What is 40 + 79 * 70? Remember order of operations. | 5570 | Order of operations (PEMDAS): first 79*70=5530, then 40+5530=5570. | basic_operations |
1,622 | roots | easy | What is the square root of 1225? | 35 | Find number that when squared gives 1225. 35*35=1225, so sqrt(1225)=35. | square_roots |
1,623 | arithmetic | easy | What is 481 - 465? | 16 | Subtract: 481 - 465 = 16. | basic_operations |
1,624 | roots | easy | What is the square root of 729? | 27 | Find number that when squared gives 729. 27*27=729, so sqrt(729)=27. | square_roots |
1,625 | number_theory | medium | What is the GCD (greatest common divisor) of 38 and 38? | 38 | Find greatest number dividing both 38 and 38. Divisors common, greatest is 38. | gcd |
1,626 | arithmetic | easy | What is 39 * 94? | 3666 | Multiply: 39 * 94 = 3666. | basic_operations |
1,627 | geometry | easy | Find the area of a rectangle with length 81 and width 61. | 4941 | Area = length * width = 81*61 = 4941. | rectangle_area |
1,628 | algebra | medium | Solve for x: x^2 + 1x - 72 = 0 | x = 8, -9 | Factor: (x - 8)(x - -9) = x^2 -(-1)x + -72 = 0. So x = 8 or -9. Check sum = -1, product = -72. | quadratic |
1,629 | exponents | easy | What is 11^2? | 121 | 11^2 means multiply 11 by itself 2 times: 11*11 = 121. | exponents |
1,630 | exponents | easy | What is 9^2? | 81 | 9^2 means multiply 9 by itself 2 times: 9*9 = 81. | exponents |
1,631 | algebra | easy | Solve for x: 17x - 41 = -92 | -3 | Add 41 to both sides: 17x = -92+41=-51. Then x = -51/17 = -3. | linear_equation |
1,632 | geometry | easy | Find the perimeter of a rectangle with length 79 and width 36. | 230 | Perimeter = 2*(length+width) = 2*(79+36) = 2*115 = 230. | rectangle_perim |
1,633 | geometry | easy | Find the area of a circle with radius 1. Use pi=3.14159, round to 2 decimals. | 3.14 | Area = pi*r^2 = 3.14159*1^2 = 3.14159*1 = 3.14. | circle_area |
1,634 | arithmetic | easy | What is 7110 / 79? | 90 | Divide: 7110 ÷ 79 = 90 because 79*90=7110. | division |
1,635 | word_problems | easy | If you have 52 dollars and you buy 12 more dollars, how many dollars do you have in total? | 64 | Add initial 52 plus bought 12: 52+12=64. | addition_word |
1,636 | percentages | easy | What is 63% of 186? | 117.18 | Calculate 63/100 * 186 = 0.63*186 = 117.18. | percentages |
1,637 | arithmetic | easy | What is 20 * 64? | 1280 | Multiply: 20 * 64 = 1280. | basic_operations |
1,638 | calculus | medium | What is the indefinite integral of x^7 dx? | x^8/8 + C | Power rule for integration: integral x^n dx = x^(n+1)/(n+1) + C. So integral x^7 = x^8/8 + C. | integral |
1,639 | 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 |
1,640 | 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 |
1,641 | number_theory | medium | What is the LCM (least common multiple) of 7 and 83? | 581 | LCM = |7*83| / GCD(7,83). GCD=1, so LCM=581/1=581. | lcm |
1,642 | arithmetic | easy | What is 692 divided by 8? Give answer to 2 decimal places. | 86.5 | Calculate 692/ 8 = 86.5000, rounded to 2 decimals is 86.5. | division |
1,643 | statistics | easy | What is the mean (average) of 61, 96, 97, 69? | 80.75 | Mean = sum/count. Sum = 61+96+97+69=323. Count=4. Mean=323/4=80.75. | mean |
1,644 | percentages | easy | What is 49% of 700? | 343 | Calculate 49/100 * 700 = 0.49*700 = 343. | percentages |
1,645 | calculus | medium | What is the derivative of 5x^5 with respect to x? | 25x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^5] = 5*5*x^4 = 25x^4. | derivative |
1,646 | algebra | easy | Solve for x: 17x + 5 = -335 | -20 | Subtract 5 from both sides: 17x = -335-5=-340. Then divide by 17: x = -340/17 = -20. | linear_equation |
1,647 | exponents | easy | What is 9^5? | 59049 | 9^5 means multiply 9 by itself 5 times: 9*9*9*9*9 = 59049. | exponents |
1,648 | roots | easy | What is the square root of 1156? | 34 | Find number that when squared gives 1156. 34*34=1156, so sqrt(1156)=34. | square_roots |
1,649 | arithmetic | easy | What is 46 * 56? | 2576 | Multiply: 46 * 56 = 2576. | basic_operations |
1,650 | 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 |
1,651 | geometry | easy | Find the area of a rectangle with length 33 and width 84. | 2772 | Area = length * width = 33*84 = 2772. | rectangle_area |
1,652 | calculus | medium | What is the derivative of 4x^5 with respect to x? | 20x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^5] = 4*5*x^4 = 20x^4. | derivative |
1,653 | fractions | medium | What is 17/12 * 6/12? Give as simplified fraction. | 17/24 | Multiply numerators: 17*6=102. Denominators: 12*12=144. Simplify by gcd 6 to get 17/24. | fraction_operations |
1,654 | arithmetic | easy | What is 689 + 9? | 698 | Add the two numbers: 689 + 9 = 698. | basic_operations |
1,655 | arithmetic | easy | What is 20381 / 89? | 229 | Divide: 20381 ÷ 89 = 229 because 89*229=20381. | division |
1,656 | exponents | easy | What is 6^3? | 216 | 6^3 means multiply 6 by itself 3 times: 6*6*6 = 216. | exponents |
1,657 | arithmetic | easy | What is 25 + 635? | 660 | Add the two numbers: 25 + 635 = 660. | basic_operations |
1,658 | fractions | medium | What is 20/5 * 4/4? Give as simplified fraction. | 4 | Multiply numerators: 20*4=80. Denominators: 5*4=20. Simplify by gcd 20 to get 4. | fraction_operations |
1,659 | algebra | easy | Solve for x: 13x + 34 = 242 | 16 | Subtract 34 from both sides: 13x = 242-34=208. Then divide by 13: x = 208/13 = 16. | linear_equation |
1,660 | algebra | medium | Solve for x: x^2 + 12x + 35 = 0 | x = -7, -5 | Factor: (x - -7)(x - -5) = x^2 -(-12)x + 35 = 0. So x = -7 or -5. Check sum = -12, product = 35. | quadratic |
1,661 | geometry | easy | Find the area of a circle with radius 30. Use pi=3.14159, round to 2 decimals. | 2827.43 | Area = pi*r^2 = 3.14159*30^2 = 3.14159*900 = 2827.43. | circle_area |
1,662 | arithmetic | easy | What is 655 - 465? | 190 | Subtract: 655 - 465 = 190. | basic_operations |
1,663 | 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 |
1,664 | algebra | medium | Solve for x: x^2 + 10x + 16 = 0 | x = -8, -2 | Factor: (x - -8)(x - -2) = x^2 -(-10)x + 16 = 0. So x = -8 or -2. Check sum = -10, product = 16. | quadratic |
1,665 | arithmetic | easy | What is 392 + 398 * 43? Remember order of operations. | 17506 | Order of operations (PEMDAS): first 398*43=17114, then 392+17114=17506. | basic_operations |
1,666 | geometry | easy | Find the perimeter of a rectangle with length 57 and width 9. | 132 | Perimeter = 2*(length+width) = 2*(57+9) = 2*66 = 132. | rectangle_perim |
1,667 | statistics | easy | What is the mean (average) of 79, 51, 23? | 51 | Mean = sum/count. Sum = 79+51+23=153. Count=3. Mean=153/3=51.0. | mean |
1,668 | statistics | easy | What is the mean (average) of 19, 70, 99? | 62.67 | Mean = sum/count. Sum = 19+70+99=188. Count=3. Mean=188/3=62.67. | mean |
1,669 | 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 |
1,670 | arithmetic | easy | What is 21286 / 58? | 367 | Divide: 21286 ÷ 58 = 367 because 58*367=21286. | division |
1,671 | arithmetic | easy | What is 33 * 100? | 3300 | Multiply: 33 * 100 = 3300. | basic_operations |
1,672 | statistics | easy | What is the mean (average) of 84, 82, 1? | 55.67 | Mean = sum/count. Sum = 84+82+1=167. Count=3. Mean=167/3=55.67. | mean |
1,673 | arithmetic | easy | What is 681 + 400? | 1081 | Add the two numbers: 681 + 400 = 1081. | basic_operations |
1,674 | 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 |
1,675 | statistics | easy | What is the mean (average) of 56, 52, 94, 100? | 75.5 | Mean = sum/count. Sum = 56+52+94+100=302. Count=4. Mean=302/4=75.5. | mean |
1,676 | arithmetic | easy | What is 554 - 232? | 322 | Subtract: 554 - 232 = 322. | basic_operations |
1,677 | statistics | easy | What is the mean (average) of 73, 69, 46? | 62.67 | Mean = sum/count. Sum = 73+69+46=188. Count=3. Mean=188/3=62.67. | mean |
1,678 | roots | easy | What is the square root of 1936? | 44 | Find number that when squared gives 1936. 44*44=1936, so sqrt(1936)=44. | square_roots |
1,679 | exponents | easy | What is 8^2? | 64 | 8^2 means multiply 8 by itself 2 times: 8*8 = 64. | exponents |
1,680 | arithmetic | easy | What is 375 + 548? | 923 | Add the two numbers: 375 + 548 = 923. | basic_operations |
1,681 | exponents | easy | What is 12^3? | 1728 | 12^3 means multiply 12 by itself 3 times: 12*12*12 = 1728. | exponents |
1,682 | algebra | medium | Solve for x: x^2 + 2x - 63 = 0 | x = 7, -9 | Factor: (x - 7)(x - -9) = x^2 -(-2)x + -63 = 0. So x = 7 or -9. Check sum = -2, product = -63. | quadratic |
1,683 | calculus | medium | What is the derivative of 4x^7 with respect to x? | 28x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^7] = 4*7*x^6 = 28x^6. | derivative |
1,684 | exponents | easy | What is 8^2? | 64 | 8^2 means multiply 8 by itself 2 times: 8*8 = 64. | exponents |
1,685 | number_theory | medium | What is the LCM (least common multiple) of 63 and 11? | 693 | LCM = |63*11| / GCD(63,11). GCD=1, so LCM=693/1=693. | lcm |
1,686 | fractions | medium | What is 5/3 * 7/2? Give as simplified fraction. | 35/6 | Multiply numerators: 5*7=35. Denominators: 3*2=6. Simplify by gcd 1 to get 35/6. | fraction_operations |
1,687 | percentages | easy | What is 63% of 399? | 251.37 | Calculate 63/100 * 399 = 0.63*399 = 251.37. | percentages |
1,688 | arithmetic | easy | What is 812 - 554? | 258 | Subtract: 812 - 554 = 258. | basic_operations |
1,689 | word_problems | easy | If you have 7 dollars and you buy 3 more dollars, how many dollars do you have in total? | 10 | Add initial 7 plus bought 3: 7+3=10. | addition_word |
1,690 | arithmetic | easy | What is 346 + 807? | 1153 | Add the two numbers: 346 + 807 = 1153. | basic_operations |
1,691 | fractions | medium | What is 17/16 * 18/6? Give as simplified fraction. | 51/16 | Multiply numerators: 17*18=306. Denominators: 16*6=96. Simplify by gcd 6 to get 51/16. | fraction_operations |
1,692 | percentages | easy | What is 10% of 38? | 3.8 | Calculate 10/100 * 38 = 0.1*38 = 3.8. | percentages |
1,693 | algebra | easy | Solve for x: 16x + 33 = -271 | -19 | Subtract 33 from both sides: 16x = -271-33=-304. Then divide by 16: x = -304/16 = -19. | linear_equation |
1,694 | statistics | easy | What is the mean (average) of 6, 32, 90, 84, 17? | 45.8 | Mean = sum/count. Sum = 6+32+90+84+17=229. Count=5. Mean=229/5=45.8. | mean |
1,695 | arithmetic | easy | What is 648 - 177? | 471 | Subtract: 648 - 177 = 471. | basic_operations |
1,696 | arithmetic | easy | What is 18780 / 60? | 313 | Divide: 18780 ÷ 60 = 313 because 60*313=18780. | division |
1,697 | arithmetic | easy | What is 4080 / 16? | 255 | Divide: 4080 ÷ 16 = 255 because 16*255=4080. | division |
1,698 | arithmetic | easy | What is 824 - 208? | 616 | Subtract: 824 - 208 = 616. | basic_operations |
1,699 | 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 |
1,700 | algebra | easy | Solve for x: 11x - 23 = -221 | -18 | Add 23 to both sides: 11x = -221+23=-198. Then x = -198/11 = -18. | linear_equation |
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