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 |
|---|---|---|---|---|---|---|
3,301 | arithmetic | easy | What is 19 + 94 * 98? Remember order of operations. | 9231 | Order of operations (PEMDAS): first 94*98=9212, then 19+9212=9231. | basic_operations |
3,302 | algebra | medium | Solve for x: x^2 + 5x - 36 = 0 | x = 4, -9 | Factor: (x - 4)(x - -9) = x^2 -(-5)x + -36 = 0. So x = 4 or -9. Check sum = -5, product = -36. | quadratic |
3,303 | geometry | easy | Find the area of a triangle with base 26 and height 89. | 1157 | Area = 0.5*base*height = 0.5*26*89 = 1157. | triangle_area |
3,304 | 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 |
3,305 | arithmetic | easy | What is 319 + 281 * 72? Remember order of operations. | 20551 | Order of operations (PEMDAS): first 281*72=20232, then 319+20232=20551. | basic_operations |
3,306 | word_problems | easy | If you have 77 apples and you buy 45 more apples, how many apples do you have in total? | 122 | Add initial 77 plus bought 45: 77+45=122. | addition_word |
3,307 | word_problems | easy | If you have 16 apples and you buy 8 more apples, how many apples do you have in total? | 24 | Add initial 16 plus bought 8: 16+8=24. | addition_word |
3,308 | algebra | medium | Solve for x: x^2 + 13x + 40 = 0 | x = -8, -5 | Factor: (x - -8)(x - -5) = x^2 -(-13)x + 40 = 0. So x = -8 or -5. Check sum = -13, product = 40. | quadratic |
3,309 | roots | easy | What is the square root of 1444? | 38 | Find number that when squared gives 1444. 38*38=1444, so sqrt(1444)=38. | square_roots |
3,310 | arithmetic | easy | What is 786 + 174? | 960 | Add the two numbers: 786 + 174 = 960. | basic_operations |
3,311 | word_problems | easy | If you have 15 books and you buy 47 more books, how many books do you have in total? | 62 | Add initial 15 plus bought 47: 15+47=62. | addition_word |
3,312 | exponents | easy | What is 12^3? | 1728 | 12^3 means multiply 12 by itself 3 times: 12*12*12 = 1728. | exponents |
3,313 | algebra | easy | Solve for x: 10x - 44 = -4 | 4 | Add 44 to both sides: 10x = -4+44=40. Then x = 40/10 = 4. | linear_equation |
3,314 | exponents | easy | What is 4^4? | 256 | 4^4 means multiply 4 by itself 4 times: 4*4*4*4 = 256. | exponents |
3,315 | algebra | easy | Solve for x: 19x - 10 = 104 | 6 | Add 10 to both sides: 19x = 104+10=114. Then x = 114/19 = 6. | linear_equation |
3,316 | percentages | easy | What is 25% of 280? | 70 | Calculate 25/100 * 280 = 0.25*280 = 70. | percentages |
3,317 | fractions | medium | What is 6/11 - 9/16? Give as simplified fraction. | -3/176 | Common denominator 176. Numerator 96-99=-3. So -3/176 simplifies to -3/176. | fraction_operations |
3,318 | arithmetic | easy | What is 502 - 364? | 138 | Subtract: 502 - 364 = 138. | basic_operations |
3,319 | word_problems | easy | If you have 85 books and you buy 44 more books, how many books do you have in total? | 129 | Add initial 85 plus bought 44: 85+44=129. | addition_word |
3,320 | arithmetic | easy | What is 973 + 855 * 75? Remember order of operations. | 65098 | Order of operations (PEMDAS): first 855*75=64125, then 973+64125=65098. | basic_operations |
3,321 | fractions | medium | What is 14/13 - 10/8? Give as simplified fraction. | -9/52 | Common denominator 104. Numerator 112-130=-18. So -18/104 simplifies to -9/52. | fraction_operations |
3,322 | geometry | easy | Find the area of a rectangle with length 66 and width 99. | 6534 | Area = length * width = 66*99 = 6534. | rectangle_area |
3,323 | fractions | medium | What is 9/8 + 15/10? Give as simplified fraction. | 21/8 | Common denominator 8*10=80. 9/8=90/80, 15/10=120/80. Sum = 210/80 = 21/8 simplified. | fraction_operations |
3,324 | arithmetic | easy | What is 23008 divided by 68? Give answer to 2 decimal places. | 338.35 | Calculate 23008/ 68 = 338.3529, rounded to 2 decimals is 338.35. | division |
3,325 | algebra | easy | Solve for x: 15x + 25 = 25 | 0 | Subtract 25 from both sides: 15x = 25-25=0. Then divide by 15: x = 0/15 = 0. | linear_equation |
3,326 | number_theory | medium | What is the GCD (greatest common divisor) of 73 and 49? | 1 | Find greatest number dividing both 73 and 49. Divisors common, greatest is 1. | gcd |
3,327 | roots | easy | What is the square root of 2025? | 45 | Find number that when squared gives 2025. 45*45=2025, so sqrt(2025)=45. | square_roots |
3,328 | arithmetic | easy | What is 15088 / 82? | 184 | Divide: 15088 ÷ 82 = 184 because 82*184=15088. | division |
3,329 | 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 |
3,330 | roots | easy | What is the square root of 484? | 22 | Find number that when squared gives 484. 22*22=484, so sqrt(484)=22. | square_roots |
3,331 | arithmetic | easy | What is 11700 / 25? | 468 | Divide: 11700 ÷ 25 = 468 because 25*468=11700. | division |
3,332 | algebra | medium | Solve for x: x^2 - 11x + 28 = 0 | x = 4, 7 | Factor: (x - 4)(x - 7) = x^2 -(11)x + 28 = 0. So x = 4 or 7. Check sum = 11, product = 28. | quadratic |
3,333 | algebra | medium | Solve for x: x^2 + 6x - 40 = 0 | x = -10, 4 | Factor: (x - -10)(x - 4) = x^2 -(-6)x + -40 = 0. So x = -10 or 4. Check sum = -6, product = -40. | quadratic |
3,334 | word_problems | easy | If you have 80 candies and you buy 37 more candies, how many candies do you have in total? | 117 | Add initial 80 plus bought 37: 80+37=117. | addition_word |
3,335 | 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 |
3,336 | geometry | easy | Find the area of a circle with radius 39. Use pi=3.14159, round to 2 decimals. | 4778.36 | Area = pi*r^2 = 3.14159*39^2 = 3.14159*1521 = 4778.36. | circle_area |
3,337 | roots | easy | What is the square root of 961? | 31 | Find number that when squared gives 961. 31*31=961, so sqrt(961)=31. | square_roots |
3,338 | calculus | medium | What is the derivative of 1x^4 with respect to x? | 4x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^4] = 1*4*x^3 = 4x^3. | derivative |
3,339 | percentages | easy | What is 98% of 958? | 938.84 | Calculate 98/100 * 958 = 0.98*958 = 938.84. | percentages |
3,340 | arithmetic | easy | What is 12045 / 55? | 219 | Divide: 12045 ÷ 55 = 219 because 55*219=12045. | division |
3,341 | 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 |
3,342 | algebra | medium | Solve for x: x^2 - 1x - 30 = 0 | x = 6, -5 | Factor: (x - 6)(x - -5) = x^2 -(1)x + -30 = 0. So x = 6 or -5. Check sum = 1, product = -30. | quadratic |
3,343 | exponents | easy | What is 11^3? | 1331 | 11^3 means multiply 11 by itself 3 times: 11*11*11 = 1331. | exponents |
3,344 | algebra | easy | Solve for x: 5x + 34 = 39 | 1 | Subtract 34 from both sides: 5x = 39-34=5. Then divide by 5: x = 5/5 = 1. | linear_equation |
3,345 | arithmetic | easy | What is 994 + 93? | 1087 | Add the two numbers: 994 + 93 = 1087. | basic_operations |
3,346 | word_problems | easy | If you have 55 candies and you buy 11 more candies, how many candies do you have in total? | 66 | Add initial 55 plus bought 11: 55+11=66. | addition_word |
3,347 | arithmetic | easy | What is 675 + 152? | 827 | Add the two numbers: 675 + 152 = 827. | basic_operations |
3,348 | arithmetic | easy | What is 242 + 190 * 27? Remember order of operations. | 5372 | Order of operations (PEMDAS): first 190*27=5130, then 242+5130=5372. | basic_operations |
3,349 | percentages | easy | What is 20% of 702? | 140.4 | Calculate 20/100 * 702 = 0.2*702 = 140.4. | percentages |
3,350 | number_theory | medium | What is the GCD (greatest common divisor) of 1 and 62? | 1 | Find greatest number dividing both 1 and 62. Divisors common, greatest is 1. | gcd |
3,351 | number_theory | medium | What is the LCM (least common multiple) of 13 and 61? | 793 | LCM = |13*61| / GCD(13,61). GCD=1, so LCM=793/1=793. | lcm |
3,352 | fractions | medium | What is 16/14 + 15/9? Give as simplified fraction. | 59/21 | Common denominator 14*9=126. 16/14=144/126, 15/9=210/126. Sum = 354/126 = 59/21 simplified. | fraction_operations |
3,353 | 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 |
3,354 | algebra | easy | Solve for x: 13x + 48 = 48 | 0 | Subtract 48 from both sides: 13x = 48-48=0. Then divide by 13: x = 0/13 = 0. | linear_equation |
3,355 | exponents | easy | What is 12^5? | 248832 | 12^5 means multiply 12 by itself 5 times: 12*12*12*12*12 = 248832. | exponents |
3,356 | calculus | medium | What is the derivative of 2x^6 with respect to x? | 12x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^6] = 2*6*x^5 = 12x^5. | derivative |
3,357 | number_theory | medium | What is the GCD (greatest common divisor) of 63 and 86? | 1 | Find greatest number dividing both 63 and 86. Divisors common, greatest is 1. | gcd |
3,358 | percentages | easy | What is 78% of 183? | 142.74 | Calculate 78/100 * 183 = 0.78*183 = 142.74. | percentages |
3,359 | percentages | easy | What is 48% of 371? | 178.08 | Calculate 48/100 * 371 = 0.48*371 = 178.08. | percentages |
3,360 | roots | easy | What is the square root of 1089? | 33 | Find number that when squared gives 1089. 33*33=1089, so sqrt(1089)=33. | square_roots |
3,361 | arithmetic | easy | What is 626 - 614? | 12 | Subtract: 626 - 614 = 12. | basic_operations |
3,362 | percentages | easy | What is 18% of 512? | 92.16 | Calculate 18/100 * 512 = 0.18*512 = 92.16. | percentages |
3,363 | fractions | medium | What is 2/8 + 10/15? Give as simplified fraction. | 11/12 | Common denominator 8*15=120. 2/8=30/120, 10/15=80/120. Sum = 110/120 = 11/12 simplified. | fraction_operations |
3,364 | 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 |
3,365 | 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 |
3,366 | exponents | easy | What is 6^5? | 7776 | 6^5 means multiply 6 by itself 5 times: 6*6*6*6*6 = 7776. | exponents |
3,367 | statistics | easy | What is the mean (average) of 34, 54, 23? | 37 | Mean = sum/count. Sum = 34+54+23=111. Count=3. Mean=111/3=37.0. | mean |
3,368 | algebra | medium | Solve for x: x^2 - 8x + 12 = 0 | x = 2, 6 | Factor: (x - 2)(x - 6) = x^2 -(8)x + 12 = 0. So x = 2 or 6. Check sum = 8, product = 12. | quadratic |
3,369 | arithmetic | easy | What is 25193 / 61? | 413 | Divide: 25193 ÷ 61 = 413 because 61*413=25193. | division |
3,370 | arithmetic | easy | What is 37570 / 85? | 442 | Divide: 37570 ÷ 85 = 442 because 85*442=37570. | division |
3,371 | algebra | medium | Solve for x: x^2 + 6x = 0 | x = 0, -6 | Factor: (x - 0)(x - -6) = x^2 -(-6)x + 0 = 0. So x = 0 or -6. Check sum = -6, product = 0. | quadratic |
3,372 | calculus | medium | What is the derivative of 8x^7 with respect to x? | 56x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^7] = 8*7*x^6 = 56x^6. | derivative |
3,373 | arithmetic | easy | What is 670 - 498? | 172 | Subtract: 670 - 498 = 172. | basic_operations |
3,374 | arithmetic | easy | What is 82 * 15? | 1230 | Multiply: 82 * 15 = 1230. | basic_operations |
3,375 | word_problems | easy | If you have 69 candies and you buy 24 more candies, how many candies do you have in total? | 93 | Add initial 69 plus bought 24: 69+24=93. | addition_word |
3,376 | 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 |
3,377 | number_theory | medium | What is the LCM (least common multiple) of 15 and 23? | 345 | LCM = |15*23| / GCD(15,23). GCD=1, so LCM=345/1=345. | lcm |
3,378 | calculus | medium | What is the derivative of 2x^8 with respect to x? | 16x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^8] = 2*8*x^7 = 16x^7. | derivative |
3,379 | algebra | easy | Solve for x: 1x - 7 = 10 | 17 | Add 7 to both sides: 1x = 10+7=17. Then x = 17/1 = 17. | linear_equation |
3,380 | geometry | easy | Find the perimeter of a rectangle with length 66 and width 79. | 290 | Perimeter = 2*(length+width) = 2*(66+79) = 2*145 = 290. | rectangle_perim |
3,381 | word_problems | easy | If you have 60 candies and you buy 4 more candies, how many candies do you have in total? | 64 | Add initial 60 plus bought 4: 60+4=64. | addition_word |
3,382 | exponents | easy | What is 2^2? | 4 | 2^2 means multiply 2 by itself 2 times: 2*2 = 4. | exponents |
3,383 | statistics | easy | What is the mean (average) of 47, 7, 77, 88? | 54.75 | Mean = sum/count. Sum = 47+7+77+88=219. Count=4. Mean=219/4=54.75. | mean |
3,384 | number_theory | medium | What is the LCM (least common multiple) of 33 and 55? | 165 | LCM = |33*55| / GCD(33,55). GCD=11, so LCM=1815/11=165. | lcm |
3,385 | exponents | easy | What is 2^4? | 16 | 2^4 means multiply 2 by itself 4 times: 2*2*2*2 = 16. | exponents |
3,386 | algebra | medium | Solve for x: x^2 - 1 = 0 | x = -1, 1 | Factor: (x - -1)(x - 1) = x^2 -(0)x + -1 = 0. So x = -1 or 1. Check sum = 0, product = -1. | quadratic |
3,387 | 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 |
3,388 | word_problems | easy | If you have 46 apples and you buy 20 more apples, how many apples do you have in total? | 66 | Add initial 46 plus bought 20: 46+20=66. | addition_word |
3,389 | arithmetic | easy | What is 17628 divided by 47? Give answer to 2 decimal places. | 375.06 | Calculate 17628/ 47 = 375.0638, rounded to 2 decimals is 375.06. | division |
3,390 | percentages | easy | What is 23% of 87? | 20.01 | Calculate 23/100 * 87 = 0.23*87 = 20.01. | percentages |
3,391 | arithmetic | easy | What is 6719 divided by 18? Give answer to 2 decimal places. | 373.28 | Calculate 6719/ 18 = 373.2778, rounded to 2 decimals is 373.28. | division |
3,392 | 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 |
3,393 | number_theory | medium | What is the GCD (greatest common divisor) of 59 and 89? | 1 | Find greatest number dividing both 59 and 89. Divisors common, greatest is 1. | gcd |
3,394 | word_problems | easy | If you have 10 dollars and you buy 5 more dollars, how many dollars do you have in total? | 15 | Add initial 10 plus bought 5: 10+5=15. | addition_word |
3,395 | number_theory | medium | What is the GCD (greatest common divisor) of 5 and 19? | 1 | Find greatest number dividing both 5 and 19. Divisors common, greatest is 1. | gcd |
3,396 | calculus | medium | What is the derivative of 2x^6 with respect to x? | 12x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^6] = 2*6*x^5 = 12x^5. | derivative |
3,397 | 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 |
3,398 | exponents | easy | What is 8^5? | 32768 | 8^5 means multiply 8 by itself 5 times: 8*8*8*8*8 = 32768. | exponents |
3,399 | arithmetic | easy | What is 974 - 189? | 785 | Subtract: 974 - 189 = 785. | basic_operations |
3,400 | arithmetic | easy | What is 857 + 935? | 1792 | Add the two numbers: 857 + 935 = 1792. | basic_operations |
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