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 |
|---|---|---|---|---|---|---|
731,301 | arithmetic | easy | What is 877 + 856 * 33? Remember order of operations. | 29125 | Order of operations (PEMDAS): first 856*33=28248, then 877+28248=29125. | basic_operations |
731,302 | geometry | easy | Find the area of a triangle with base 69 and height 54. | 1863 | Area = 0.5*base*height = 0.5*69*54 = 1863. | triangle_area |
731,303 | arithmetic | easy | What is 935 + 755? | 1690 | Add the two numbers: 935 + 755 = 1690. | basic_operations |
731,304 | arithmetic | easy | What is 368 / 4? | 92 | Divide: 368 ÷ 4 = 92 because 4*92=368. | division |
731,305 | 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 |
731,306 | fractions | medium | What is 1/5 - 10/9? Give as simplified fraction. | -41/45 | Common denominator 45. Numerator 9-50=-41. So -41/45 simplifies to -41/45. | fraction_operations |
731,307 | roots | easy | What is the square root of 625? | 25 | Find number that when squared gives 625. 25*25=625, so sqrt(625)=25. | square_roots |
731,308 | arithmetic | easy | What is 21 * 4? | 84 | Multiply: 21 * 4 = 84. | basic_operations |
731,309 | arithmetic | easy | What is 8 * 48? | 384 | Multiply: 8 * 48 = 384. | basic_operations |
731,310 | algebra | medium | Solve for x: x^2 + 12x + 32 = 0 | x = -4, -8 | Factor: (x - -4)(x - -8) = x^2 -(-12)x + 32 = 0. So x = -4 or -8. Check sum = -12, product = 32. | quadratic |
731,311 | geometry | easy | Find the area of a rectangle with length 78 and width 87. | 6786 | Area = length * width = 78*87 = 6786. | rectangle_area |
731,312 | algebra | easy | Solve for x: 2x + 11 = 37 | 13 | Subtract 11 from both sides: 2x = 37-11=26. Then divide by 2: x = 26/2 = 13. | linear_equation |
731,313 | arithmetic | easy | What is 515 + 1 * 59? Remember order of operations. | 574 | Order of operations (PEMDAS): first 1*59=59, then 515+59=574. | basic_operations |
731,314 | exponents | easy | What is 7^5? | 16807 | 7^5 means multiply 7 by itself 5 times: 7*7*7*7*7 = 16807. | exponents |
731,315 | arithmetic | easy | What is 1350 / 90? | 15 | Divide: 1350 ÷ 90 = 15 because 90*15=1350. | division |
731,316 | arithmetic | easy | What is 5 + 107 * 89? Remember order of operations. | 9528 | Order of operations (PEMDAS): first 107*89=9523, then 5+9523=9528. | basic_operations |
731,317 | algebra | easy | Solve for x: 16x - 12 = 52 | 4 | Add 12 to both sides: 16x = 52+12=64. Then x = 64/16 = 4. | linear_equation |
731,318 | calculus | medium | What is the derivative of 6x^2 with respect to x? | 12x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^2] = 6*2*x^1 = 12x. | derivative |
731,319 | number_theory | medium | What is the GCD (greatest common divisor) of 63 and 99? | 9 | Find greatest number dividing both 63 and 99. Divisors common, greatest is 9. | gcd |
731,320 | arithmetic | easy | What is 29308 / 68? | 431 | Divide: 29308 ÷ 68 = 431 because 68*431=29308. | division |
731,321 | 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 |
731,322 | statistics | easy | What is the mean (average) of 95, 47, 28, 35, 25? | 46 | Mean = sum/count. Sum = 95+47+28+35+25=230. Count=5. Mean=230/5=46.0. | mean |
731,323 | exponents | easy | What is 10^5? | 100000 | 10^5 means multiply 10 by itself 5 times: 10*10*10*10*10 = 100000. | exponents |
731,324 | algebra | easy | Solve for x: 20x - 25 = -45 | -1 | Add 25 to both sides: 20x = -45+25=-20. Then x = -20/20 = -1. | linear_equation |
731,325 | calculus | medium | What is the derivative of 9x^3 with respect to x? | 27x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^3] = 9*3*x^2 = 27x^2. | derivative |
731,326 | arithmetic | easy | What is 18856 divided by 73? Give answer to 2 decimal places. | 258.3 | Calculate 18856/ 73 = 258.3014, rounded to 2 decimals is 258.3. | division |
731,327 | arithmetic | easy | What is 912 - 617? | 295 | Subtract: 912 - 617 = 295. | basic_operations |
731,328 | 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 |
731,329 | number_theory | medium | What is the LCM (least common multiple) of 25 and 21? | 525 | LCM = |25*21| / GCD(25,21). GCD=1, so LCM=525/1=525. | lcm |
731,330 | exponents | easy | What is 9^5? | 59049 | 9^5 means multiply 9 by itself 5 times: 9*9*9*9*9 = 59049. | exponents |
731,331 | geometry | easy | Find the circumference of a circle with radius 2. Use pi=3.14159, round to 2 decimals. | 12.57 | Circumference = 2*pi*r = 2*3.14159*2 = 12.57. | circle_circum |
731,332 | word_problems | easy | If you have 52 books and you buy 39 more books, how many books do you have in total? | 91 | Add initial 52 plus bought 39: 52+39=91. | addition_word |
731,333 | number_theory | medium | What is the LCM (least common multiple) of 4 and 17? | 68 | LCM = |4*17| / GCD(4,17). GCD=1, so LCM=68/1=68. | lcm |
731,334 | algebra | easy | Solve for x: 8x + 49 = 209 | 20 | Subtract 49 from both sides: 8x = 209-49=160. Then divide by 8: x = 160/8 = 20. | linear_equation |
731,335 | algebra | medium | Solve for x: x^2 + 7x + 12 = 0 | x = -4, -3 | Factor: (x - -4)(x - -3) = x^2 -(-7)x + 12 = 0. So x = -4 or -3. Check sum = -7, product = 12. | quadratic |
731,336 | arithmetic | easy | What is 723 - 21? | 702 | Subtract: 723 - 21 = 702. | basic_operations |
731,337 | fractions | medium | What is 7/18 + 17/7? Give as simplified fraction. | 355/126 | Common denominator 18*7=126. 7/18=49/126, 17/7=306/126. Sum = 355/126 = 355/126 simplified. | fraction_operations |
731,338 | 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 |
731,339 | exponents | easy | What is 12^2? | 144 | 12^2 means multiply 12 by itself 2 times: 12*12 = 144. | exponents |
731,340 | exponents | easy | What is 8^5? | 32768 | 8^5 means multiply 8 by itself 5 times: 8*8*8*8*8 = 32768. | exponents |
731,341 | arithmetic | easy | What is 486 + 245? | 731 | Add the two numbers: 486 + 245 = 731. | basic_operations |
731,342 | fractions | medium | What is 18/4 * 8/8? Give as simplified fraction. | 9/2 | Multiply numerators: 18*8=144. Denominators: 4*8=32. Simplify by gcd 16 to get 9/2. | fraction_operations |
731,343 | statistics | easy | What is the mean (average) of 30, 78, 24, 86, 62? | 56 | Mean = sum/count. Sum = 30+78+24+86+62=280. Count=5. Mean=280/5=56.0. | mean |
731,344 | 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 |
731,345 | fractions | medium | What is 15/15 * 20/3? Give as simplified fraction. | 20/3 | Multiply numerators: 15*20=300. Denominators: 15*3=45. Simplify by gcd 15 to get 20/3. | fraction_operations |
731,346 | 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 |
731,347 | number_theory | medium | What is the GCD (greatest common divisor) of 49 and 69? | 1 | Find greatest number dividing both 49 and 69. Divisors common, greatest is 1. | gcd |
731,348 | geometry | easy | Find the area of a triangle with base 44 and height 76. | 1672 | Area = 0.5*base*height = 0.5*44*76 = 1672. | triangle_area |
731,349 | 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 |
731,350 | algebra | medium | Solve for x: x^2 - 14x + 45 = 0 | x = 9, 5 | Factor: (x - 9)(x - 5) = x^2 -(14)x + 45 = 0. So x = 9 or 5. Check sum = 14, product = 45. | quadratic |
731,351 | percentages | easy | What is 99% of 442? | 437.58 | Calculate 99/100 * 442 = 0.99*442 = 437.58. | percentages |
731,352 | number_theory | medium | What is the GCD (greatest common divisor) of 89 and 54? | 1 | Find greatest number dividing both 89 and 54. Divisors common, greatest is 1. | gcd |
731,353 | exponents | easy | What is 5^3? | 125 | 5^3 means multiply 5 by itself 3 times: 5*5*5 = 125. | exponents |
731,354 | calculus | medium | What is the derivative of 2x^2 with respect to x? | 4x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^2] = 2*2*x^1 = 4x. | derivative |
731,355 | algebra | easy | Solve for x: 18x - 22 = -310 | -16 | Add 22 to both sides: 18x = -310+22=-288. Then x = -288/18 = -16. | linear_equation |
731,356 | 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 |
731,357 | fractions | medium | What is 15/6 + 8/10? Give as simplified fraction. | 33/10 | Common denominator 6*10=60. 15/6=150/60, 8/10=48/60. Sum = 198/60 = 33/10 simplified. | fraction_operations |
731,358 | number_theory | medium | What is the GCD (greatest common divisor) of 39 and 69? | 3 | Find greatest number dividing both 39 and 69. Divisors common, greatest is 3. | gcd |
731,359 | 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 |
731,360 | percentages | easy | What is 45% of 647? | 291.15 | Calculate 45/100 * 647 = 0.45*647 = 291.15. | percentages |
731,361 | 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 |
731,362 | arithmetic | easy | What is 3003 / 7? | 429 | Divide: 3003 ÷ 7 = 429 because 7*429=3003. | division |
731,363 | arithmetic | easy | What is 2301 / 59? | 39 | Divide: 2301 ÷ 59 = 39 because 59*39=2301. | division |
731,364 | 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 |
731,365 | number_theory | medium | What is the LCM (least common multiple) of 94 and 2? | 94 | LCM = |94*2| / GCD(94,2). GCD=2, so LCM=188/2=94. | lcm |
731,366 | arithmetic | easy | What is 650 + 408? | 1058 | Add the two numbers: 650 + 408 = 1058. | basic_operations |
731,367 | percentages | easy | What is 13% of 999? | 129.87 | Calculate 13/100 * 999 = 0.13*999 = 129.87. | percentages |
731,368 | 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 |
731,369 | arithmetic | easy | What is 467 - 172? | 295 | Subtract: 467 - 172 = 295. | basic_operations |
731,370 | arithmetic | easy | What is 839 + 106? | 945 | Add the two numbers: 839 + 106 = 945. | basic_operations |
731,371 | fractions | medium | What is 5/3 * 3/7? Give as simplified fraction. | 5/7 | Multiply numerators: 5*3=15. Denominators: 3*7=21. Simplify by gcd 3 to get 5/7. | fraction_operations |
731,372 | exponents | easy | What is 3^3? | 27 | 3^3 means multiply 3 by itself 3 times: 3*3*3 = 27. | exponents |
731,373 | arithmetic | easy | What is 9560 / 20? | 478 | Divide: 9560 ÷ 20 = 478 because 20*478=9560. | division |
731,374 | 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 |
731,375 | geometry | easy | Find the circumference of a circle with radius 36. Use pi=3.14159, round to 2 decimals. | 226.19 | Circumference = 2*pi*r = 2*3.14159*36 = 226.19. | circle_circum |
731,376 | arithmetic | easy | What is 1 * 28? | 28 | Multiply: 1 * 28 = 28. | basic_operations |
731,377 | arithmetic | easy | What is 24 + 66 * 63? Remember order of operations. | 4182 | Order of operations (PEMDAS): first 66*63=4158, then 24+4158=4182. | basic_operations |
731,378 | number_theory | medium | What is the LCM (least common multiple) of 52 and 88? | 1144 | LCM = |52*88| / GCD(52,88). GCD=4, so LCM=4576/4=1144. | lcm |
731,379 | percentages | easy | What is 38% of 134? | 50.92 | Calculate 38/100 * 134 = 0.38*134 = 50.92. | percentages |
731,380 | statistics | easy | What is the mean (average) of 38, 15, 83? | 45.33 | Mean = sum/count. Sum = 38+15+83=136. Count=3. Mean=136/3=45.33. | mean |
731,381 | statistics | easy | What is the mean (average) of 52, 74, 49, 87, 28? | 58 | Mean = sum/count. Sum = 52+74+49+87+28=290. Count=5. Mean=290/5=58.0. | mean |
731,382 | word_problems | easy | If you have 82 books and you buy 13 more books, how many books do you have in total? | 95 | Add initial 82 plus bought 13: 82+13=95. | addition_word |
731,383 | algebra | easy | Solve for x: 20x + 15 = 175 | 8 | Subtract 15 from both sides: 20x = 175-15=160. Then divide by 20: x = 160/20 = 8. | linear_equation |
731,384 | arithmetic | easy | What is 823 - 286? | 537 | Subtract: 823 - 286 = 537. | basic_operations |
731,385 | 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 |
731,386 | calculus | medium | What is the derivative of 9x^8 with respect to x? | 72x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^8] = 9*8*x^7 = 72x^7. | derivative |
731,387 | algebra | medium | Solve for x: x^2 + 15x + 56 = 0 | x = -8, -7 | Factor: (x - -8)(x - -7) = x^2 -(-15)x + 56 = 0. So x = -8 or -7. Check sum = -15, product = 56. | quadratic |
731,388 | calculus | medium | What is the derivative of 8x^4 with respect to x? | 32x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^4] = 8*4*x^3 = 32x^3. | derivative |
731,389 | geometry | easy | Find the perimeter of a rectangle with length 65 and width 88. | 306 | Perimeter = 2*(length+width) = 2*(65+88) = 2*153 = 306. | rectangle_perim |
731,390 | 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 |
731,391 | algebra | medium | Solve for x: x^2 - 16 = 0 | x = -4, 4 | Factor: (x - -4)(x - 4) = x^2 -(0)x + -16 = 0. So x = -4 or 4. Check sum = 0, product = -16. | quadratic |
731,392 | roots | easy | What is the square root of 900? | 30 | Find number that when squared gives 900. 30*30=900, so sqrt(900)=30. | square_roots |
731,393 | algebra | medium | Solve for x: x^2 - 12x + 20 = 0 | x = 2, 10 | Factor: (x - 2)(x - 10) = x^2 -(12)x + 20 = 0. So x = 2 or 10. Check sum = 12, product = 20. | quadratic |
731,394 | algebra | easy | Solve for x: 13x - 9 = -243 | -18 | Add 9 to both sides: 13x = -243+9=-234. Then x = -234/13 = -18. | linear_equation |
731,395 | arithmetic | easy | What is 22088 / 88? | 251 | Divide: 22088 ÷ 88 = 251 because 88*251=22088. | division |
731,396 | arithmetic | easy | What is 47 * 77? | 3619 | Multiply: 47 * 77 = 3619. | basic_operations |
731,397 | 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 |
731,398 | 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 |
731,399 | calculus | medium | What is the derivative of 9x^3 with respect to x? | 27x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^3] = 9*3*x^2 = 27x^2. | derivative |
731,400 | percentages | easy | What is 37% of 195? | 72.15 | Calculate 37/100 * 195 = 0.37*195 = 72.15. | percentages |
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