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 |
|---|---|---|---|---|---|---|
2,501 | 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 |
2,502 | exponents | easy | What is 5^5? | 3125 | 5^5 means multiply 5 by itself 5 times: 5*5*5*5*5 = 3125. | exponents |
2,503 | word_problems | easy | If you have 23 dollars and you buy 39 more dollars, how many dollars do you have in total? | 62 | Add initial 23 plus bought 39: 23+39=62. | addition_word |
2,504 | algebra | easy | Solve for x: 2x + 26 = 26 | 0 | Subtract 26 from both sides: 2x = 26-26=0. Then divide by 2: x = 0/2 = 0. | linear_equation |
2,505 | exponents | easy | What is 10^2? | 100 | 10^2 means multiply 10 by itself 2 times: 10*10 = 100. | exponents |
2,506 | geometry | easy | Find the area of a triangle with base 62 and height 81. | 2511 | Area = 0.5*base*height = 0.5*62*81 = 2511. | triangle_area |
2,507 | fractions | medium | What is 16/11 - 13/3? Give as simplified fraction. | -95/33 | Common denominator 33. Numerator 48-143=-95. So -95/33 simplifies to -95/33. | fraction_operations |
2,508 | algebra | easy | Solve for x: 7x + 43 = 1 | -6 | Subtract 43 from both sides: 7x = 1-43=-42. Then divide by 7: x = -42/7 = -6. | linear_equation |
2,509 | arithmetic | easy | What is 946 + 887? | 1833 | Add the two numbers: 946 + 887 = 1833. | basic_operations |
2,510 | calculus | medium | What is the derivative of 3x^4 with respect to x? | 12x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^4] = 3*4*x^3 = 12x^3. | derivative |
2,511 | arithmetic | easy | What is 562 - 402? | 160 | Subtract: 562 - 402 = 160. | basic_operations |
2,512 | number_theory | medium | What is the LCM (least common multiple) of 97 and 51? | 4947 | LCM = |97*51| / GCD(97,51). GCD=1, so LCM=4947/1=4947. | lcm |
2,513 | arithmetic | easy | What is 745 - 541? | 204 | Subtract: 745 - 541 = 204. | basic_operations |
2,514 | fractions | medium | What is 18/14 - 4/6? Give as simplified fraction. | 13/21 | Common denominator 84. Numerator 108-56=52. So 52/84 simplifies to 13/21. | fraction_operations |
2,515 | arithmetic | easy | What is 958 - 871? | 87 | Subtract: 958 - 871 = 87. | basic_operations |
2,516 | algebra | medium | Solve for x: x^2 - 2x - 48 = 0 | x = 8, -6 | Factor: (x - 8)(x - -6) = x^2 -(2)x + -48 = 0. So x = 8 or -6. Check sum = 2, product = -48. | quadratic |
2,517 | word_problems | easy | If you have 94 dollars and you buy 31 more dollars, how many dollars do you have in total? | 125 | Add initial 94 plus bought 31: 94+31=125. | addition_word |
2,518 | algebra | easy | Solve for x: 7x - 23 = -79 | -8 | Add 23 to both sides: 7x = -79+23=-56. Then x = -56/7 = -8. | linear_equation |
2,519 | arithmetic | easy | What is 371 + 744? | 1115 | Add the two numbers: 371 + 744 = 1115. | basic_operations |
2,520 | algebra | easy | Solve for x: 13x + 4 = -126 | -10 | Subtract 4 from both sides: 13x = -126-4=-130. Then divide by 13: x = -130/13 = -10. | linear_equation |
2,521 | arithmetic | easy | What is 99 + 365? | 464 | Add the two numbers: 99 + 365 = 464. | basic_operations |
2,522 | arithmetic | easy | What is 22355 divided by 67? Give answer to 2 decimal places. | 333.66 | Calculate 22355/ 67 = 333.6567, rounded to 2 decimals is 333.66. | division |
2,523 | algebra | easy | Solve for x: 13x - 19 = -253 | -18 | Add 19 to both sides: 13x = -253+19=-234. Then x = -234/13 = -18. | linear_equation |
2,524 | arithmetic | easy | What is 6528 / 32? | 204 | Divide: 6528 ÷ 32 = 204 because 32*204=6528. | division |
2,525 | algebra | medium | Solve for x: x^2 - 12x + 20 = 0 | x = 10, 2 | Factor: (x - 10)(x - 2) = x^2 -(12)x + 20 = 0. So x = 10 or 2. Check sum = 12, product = 20. | quadratic |
2,526 | arithmetic | easy | What is 797 + 475 * 84? Remember order of operations. | 40697 | Order of operations (PEMDAS): first 475*84=39900, then 797+39900=40697. | basic_operations |
2,527 | word_problems | easy | If you have 52 apples and you buy 1 more apples, how many apples do you have in total? | 53 | Add initial 52 plus bought 1: 52+1=53. | addition_word |
2,528 | arithmetic | easy | What is 756 / 12? | 63 | Divide: 756 ÷ 12 = 63 because 12*63=756. | division |
2,529 | arithmetic | easy | What is 601 + 587 * 74? Remember order of operations. | 44039 | Order of operations (PEMDAS): first 587*74=43438, then 601+43438=44039. | basic_operations |
2,530 | arithmetic | easy | What is 7211 divided by 77? Give answer to 2 decimal places. | 93.65 | Calculate 7211/ 77 = 93.6494, rounded to 2 decimals is 93.65. | division |
2,531 | 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 |
2,532 | algebra | easy | Solve for x: 4x - 9 = -73 | -16 | Add 9 to both sides: 4x = -73+9=-64. Then x = -64/4 = -16. | linear_equation |
2,533 | algebra | medium | Solve for x: x^2 + 8x - 20 = 0 | x = 2, -10 | Factor: (x - 2)(x - -10) = x^2 -(-8)x + -20 = 0. So x = 2 or -10. Check sum = -8, product = -20. | quadratic |
2,534 | calculus | medium | What is the derivative of 9x^6 with respect to x? | 54x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^6] = 9*6*x^5 = 54x^5. | derivative |
2,535 | statistics | easy | What is the mean (average) of 67, 75, 69? | 70.33 | Mean = sum/count. Sum = 67+75+69=211. Count=3. Mean=211/3=70.33. | mean |
2,536 | arithmetic | easy | What is 37828 / 98? | 386 | Divide: 37828 ÷ 98 = 386 because 98*386=37828. | division |
2,537 | algebra | medium | Solve for x: x^2 - 4x - 45 = 0 | x = 9, -5 | Factor: (x - 9)(x - -5) = x^2 -(4)x + -45 = 0. So x = 9 or -5. Check sum = 4, product = -45. | quadratic |
2,538 | arithmetic | easy | What is 569 + 458 * 41? Remember order of operations. | 19347 | Order of operations (PEMDAS): first 458*41=18778, then 569+18778=19347. | basic_operations |
2,539 | fractions | medium | What is 6/4 + 18/10? Give as simplified fraction. | 33/10 | Common denominator 4*10=40. 6/4=60/40, 18/10=72/40. Sum = 132/40 = 33/10 simplified. | fraction_operations |
2,540 | arithmetic | easy | What is 519 - 128? | 391 | Subtract: 519 - 128 = 391. | basic_operations |
2,541 | algebra | medium | Solve for x: x^2 + 7x - 30 = 0 | x = 3, -10 | Factor: (x - 3)(x - -10) = x^2 -(-7)x + -30 = 0. So x = 3 or -10. Check sum = -7, product = -30. | quadratic |
2,542 | percentages | easy | What is 39% of 48? | 18.72 | Calculate 39/100 * 48 = 0.39*48 = 18.72. | percentages |
2,543 | exponents | easy | What is 12^5? | 248832 | 12^5 means multiply 12 by itself 5 times: 12*12*12*12*12 = 248832. | exponents |
2,544 | algebra | easy | Solve for x: 19x + 12 = 12 | 0 | Subtract 12 from both sides: 19x = 12-12=0. Then divide by 19: x = 0/19 = 0. | linear_equation |
2,545 | number_theory | medium | What is the GCD (greatest common divisor) of 78 and 69? | 3 | Find greatest number dividing both 78 and 69. Divisors common, greatest is 3. | gcd |
2,546 | arithmetic | easy | What is 36120 / 86? | 420 | Divide: 36120 ÷ 86 = 420 because 86*420=36120. | division |
2,547 | arithmetic | easy | What is 193 + 146? | 339 | Add the two numbers: 193 + 146 = 339. | basic_operations |
2,548 | fractions | medium | What is 19/13 * 9/6? Give as simplified fraction. | 57/26 | Multiply numerators: 19*9=171. Denominators: 13*6=78. Simplify by gcd 3 to get 57/26. | fraction_operations |
2,549 | 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 |
2,550 | geometry | easy | Find the area of a circle with radius 25. Use pi=3.14159, round to 2 decimals. | 1963.5 | Area = pi*r^2 = 3.14159*25^2 = 3.14159*625 = 1963.5. | circle_area |
2,551 | algebra | medium | Solve for x: x^2 - 6x + 8 = 0 | x = 2, 4 | Factor: (x - 2)(x - 4) = x^2 -(6)x + 8 = 0. So x = 2 or 4. Check sum = 6, product = 8. | quadratic |
2,552 | arithmetic | easy | What is 968 - 261? | 707 | Subtract: 968 - 261 = 707. | basic_operations |
2,553 | algebra | easy | Solve for x: 18x - 24 = -312 | -16 | Add 24 to both sides: 18x = -312+24=-288. Then x = -288/18 = -16. | linear_equation |
2,554 | geometry | easy | Find the perimeter of a rectangle with length 92 and width 48. | 280 | Perimeter = 2*(length+width) = 2*(92+48) = 2*140 = 280. | rectangle_perim |
2,555 | 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 |
2,556 | 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 |
2,557 | 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 |
2,558 | percentages | easy | What is 10% of 277? | 27.7 | Calculate 10/100 * 277 = 0.1*277 = 27.7. | percentages |
2,559 | arithmetic | easy | What is 3990 / 70? | 57 | Divide: 3990 ÷ 70 = 57 because 70*57=3990. | division |
2,560 | roots | easy | What is the square root of 1681? | 41 | Find number that when squared gives 1681. 41*41=1681, so sqrt(1681)=41. | square_roots |
2,561 | arithmetic | easy | What is 932 + 372 * 43? Remember order of operations. | 16928 | Order of operations (PEMDAS): first 372*43=15996, then 932+15996=16928. | basic_operations |
2,562 | percentages | easy | What is 36% of 11? | 3.96 | Calculate 36/100 * 11 = 0.36*11 = 3.96. | percentages |
2,563 | arithmetic | easy | What is 24865 divided by 50? Give answer to 2 decimal places. | 497.3 | Calculate 24865/ 50 = 497.3000, rounded to 2 decimals is 497.3. | division |
2,564 | arithmetic | easy | What is 1540 divided by 17? Give answer to 2 decimal places. | 90.59 | Calculate 1540/ 17 = 90.5882, rounded to 2 decimals is 90.59. | division |
2,565 | arithmetic | easy | What is 12351 / 69? | 179 | Divide: 12351 ÷ 69 = 179 because 69*179=12351. | division |
2,566 | arithmetic | easy | What is 707 divided by 8? Give answer to 2 decimal places. | 88.38 | Calculate 707/ 8 = 88.3750, rounded to 2 decimals is 88.38. | division |
2,567 | algebra | medium | Solve for x: x^2 - 8x + 7 = 0 | x = 1, 7 | Factor: (x - 1)(x - 7) = x^2 -(8)x + 7 = 0. So x = 1 or 7. Check sum = 8, product = 7. | quadratic |
2,568 | 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 |
2,569 | algebra | easy | Solve for x: 9x - 49 = 59 | 12 | Add 49 to both sides: 9x = 59+49=108. Then x = 108/9 = 12. | linear_equation |
2,570 | algebra | easy | Solve for x: 5x - 32 = -12 | 4 | Add 32 to both sides: 5x = -12+32=20. Then x = 20/5 = 4. | linear_equation |
2,571 | geometry | easy | Find the area of a rectangle with length 93 and width 82. | 7626 | Area = length * width = 93*82 = 7626. | rectangle_area |
2,572 | number_theory | medium | What is the GCD (greatest common divisor) of 91 and 100? | 1 | Find greatest number dividing both 91 and 100. Divisors common, greatest is 1. | gcd |
2,573 | 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 |
2,574 | word_problems | easy | If you have 28 dollars and you buy 29 more dollars, how many dollars do you have in total? | 57 | Add initial 28 plus bought 29: 28+29=57. | addition_word |
2,575 | word_problems | easy | If you have 69 dollars and you buy 19 more dollars, how many dollars do you have in total? | 88 | Add initial 69 plus bought 19: 69+19=88. | addition_word |
2,576 | 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 |
2,577 | percentages | easy | What is 40% of 651? | 260.4 | Calculate 40/100 * 651 = 0.4*651 = 260.4. | percentages |
2,578 | arithmetic | easy | What is 971 - 313? | 658 | Subtract: 971 - 313 = 658. | basic_operations |
2,579 | arithmetic | easy | What is 79 + 748 * 31? Remember order of operations. | 23267 | Order of operations (PEMDAS): first 748*31=23188, then 79+23188=23267. | basic_operations |
2,580 | arithmetic | easy | What is 64 * 2? | 128 | Multiply: 64 * 2 = 128. | basic_operations |
2,581 | 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 |
2,582 | algebra | easy | Solve for x: 16x + 13 = 205 | 12 | Subtract 13 from both sides: 16x = 205-13=192. Then divide by 16: x = 192/16 = 12. | linear_equation |
2,583 | arithmetic | easy | What is 424 / 53? | 8 | Divide: 424 ÷ 53 = 8 because 53*8=424. | division |
2,584 | arithmetic | easy | What is 96 + 45 * 90? Remember order of operations. | 4146 | Order of operations (PEMDAS): first 45*90=4050, then 96+4050=4146. | basic_operations |
2,585 | arithmetic | easy | What is 98 * 68? | 6664 | Multiply: 98 * 68 = 6664. | basic_operations |
2,586 | algebra | medium | Solve for x: x^2 + 7x - 8 = 0 | x = -8, 1 | Factor: (x - -8)(x - 1) = x^2 -(-7)x + -8 = 0. So x = -8 or 1. Check sum = -7, product = -8. | quadratic |
2,587 | algebra | easy | Solve for x: 17x - 5 = -294 | -17 | Add 5 to both sides: 17x = -294+5=-289. Then x = -289/17 = -17. | linear_equation |
2,588 | 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 |
2,589 | calculus | medium | What is the derivative of 6x^3 with respect to x? | 18x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^3] = 6*3*x^2 = 18x^2. | derivative |
2,590 | arithmetic | easy | What is 21060 / 45? | 468 | Divide: 21060 ÷ 45 = 468 because 45*468=21060. | division |
2,591 | arithmetic | easy | What is 6006 / 39? | 154 | Divide: 6006 ÷ 39 = 154 because 39*154=6006. | division |
2,592 | geometry | easy | Find the perimeter of a rectangle with length 1 and width 95. | 192 | Perimeter = 2*(length+width) = 2*(1+95) = 2*96 = 192. | rectangle_perim |
2,593 | calculus | medium | What is the derivative of 5x^3 with respect to x? | 15x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^3] = 5*3*x^2 = 15x^2. | derivative |
2,594 | arithmetic | easy | What is 958 + 475 * 80? Remember order of operations. | 38958 | Order of operations (PEMDAS): first 475*80=38000, then 958+38000=38958. | basic_operations |
2,595 | arithmetic | easy | What is 631 - 472? | 159 | Subtract: 631 - 472 = 159. | basic_operations |
2,596 | arithmetic | easy | What is 359 + 912? | 1271 | Add the two numbers: 359 + 912 = 1271. | basic_operations |
2,597 | arithmetic | easy | What is 104 + 442 * 63? Remember order of operations. | 27950 | Order of operations (PEMDAS): first 442*63=27846, then 104+27846=27950. | basic_operations |
2,598 | algebra | easy | Solve for x: 14x - 35 = 119 | 11 | Add 35 to both sides: 14x = 119+35=154. Then x = 154/14 = 11. | linear_equation |
2,599 | arithmetic | easy | What is 788 + 160 * 85? Remember order of operations. | 14388 | Order of operations (PEMDAS): first 160*85=13600, then 788+13600=14388. | basic_operations |
2,600 | calculus | medium | What is the derivative of 5x^4 with respect to x? | 20x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^4] = 5*4*x^3 = 20x^3. | derivative |
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