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 |
|---|---|---|---|---|---|---|
734,301 | algebra | medium | Solve for x: x^2 - 9x + 18 = 0 | x = 3, 6 | Factor: (x - 3)(x - 6) = x^2 -(9)x + 18 = 0. So x = 3 or 6. Check sum = 9, product = 18. | quadratic |
734,302 | geometry | easy | Find the area of a triangle with base 12 and height 35. | 210 | Area = 0.5*base*height = 0.5*12*35 = 210. | triangle_area |
734,303 | number_theory | medium | What is the LCM (least common multiple) of 2 and 79? | 158 | LCM = |2*79| / GCD(2,79). GCD=1, so LCM=158/1=158. | lcm |
734,304 | word_problems | easy | If you have 50 books and you buy 26 more books, how many books do you have in total? | 76 | Add initial 50 plus bought 26: 50+26=76. | addition_word |
734,305 | algebra | medium | Solve for x: x^2 - 4x - 45 = 0 | x = -5, 9 | Factor: (x - -5)(x - 9) = x^2 -(4)x + -45 = 0. So x = -5 or 9. Check sum = 4, product = -45. | quadratic |
734,306 | arithmetic | easy | What is 20382 / 79? | 258 | Divide: 20382 ÷ 79 = 258 because 79*258=20382. | division |
734,307 | 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 |
734,308 | 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 |
734,309 | arithmetic | easy | What is 43974 divided by 97? Give answer to 2 decimal places. | 453.34 | Calculate 43974/ 97 = 453.3402, rounded to 2 decimals is 453.34. | division |
734,310 | exponents | easy | What is 8^2? | 64 | 8^2 means multiply 8 by itself 2 times: 8*8 = 64. | exponents |
734,311 | arithmetic | easy | What is 1400 / 70? | 20 | Divide: 1400 ÷ 70 = 20 because 70*20=1400. | division |
734,312 | 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 |
734,313 | arithmetic | easy | What is 82 * 16? | 1312 | Multiply: 82 * 16 = 1312. | basic_operations |
734,314 | geometry | easy | Find the perimeter of a rectangle with length 35 and width 79. | 228 | Perimeter = 2*(length+width) = 2*(35+79) = 2*114 = 228. | rectangle_perim |
734,315 | arithmetic | easy | What is 37 * 7? | 259 | Multiply: 37 * 7 = 259. | basic_operations |
734,316 | algebra | easy | Solve for x: 17x - 6 = -23 | -1 | Add 6 to both sides: 17x = -23+6=-17. Then x = -17/17 = -1. | linear_equation |
734,317 | exponents | easy | What is 9^5? | 59049 | 9^5 means multiply 9 by itself 5 times: 9*9*9*9*9 = 59049. | exponents |
734,318 | arithmetic | easy | What is 629 + 194? | 823 | Add the two numbers: 629 + 194 = 823. | basic_operations |
734,319 | fractions | medium | What is 18/14 + 16/2? Give as simplified fraction. | 65/7 | Common denominator 14*2=28. 18/14=36/28, 16/2=224/28. Sum = 260/28 = 65/7 simplified. | fraction_operations |
734,320 | 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 |
734,321 | exponents | easy | What is 6^3? | 216 | 6^3 means multiply 6 by itself 3 times: 6*6*6 = 216. | exponents |
734,322 | arithmetic | easy | What is 317 + 319? | 636 | Add the two numbers: 317 + 319 = 636. | basic_operations |
734,323 | roots | easy | What is the square root of 2116? | 46 | Find number that when squared gives 2116. 46*46=2116, so sqrt(2116)=46. | square_roots |
734,324 | arithmetic | easy | What is 308 + 272 * 64? Remember order of operations. | 17716 | Order of operations (PEMDAS): first 272*64=17408, then 308+17408=17716. | basic_operations |
734,325 | arithmetic | easy | What is 46 + 99 * 34? Remember order of operations. | 3412 | Order of operations (PEMDAS): first 99*34=3366, then 46+3366=3412. | basic_operations |
734,326 | 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 |
734,327 | geometry | easy | Find the perimeter of a rectangle with length 70 and width 90. | 320 | Perimeter = 2*(length+width) = 2*(70+90) = 2*160 = 320. | rectangle_perim |
734,328 | 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 |
734,329 | 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 |
734,330 | geometry | easy | Find the area of a triangle with base 98 and height 12. | 588 | Area = 0.5*base*height = 0.5*98*12 = 588. | triangle_area |
734,331 | algebra | medium | Solve for x: x^2 + 17x + 70 = 0 | x = -10, -7 | Factor: (x - -10)(x - -7) = x^2 -(-17)x + 70 = 0. So x = -10 or -7. Check sum = -17, product = 70. | quadratic |
734,332 | 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 |
734,333 | geometry | easy | Find the area of a triangle with base 5 and height 23. | 57.5 | Area = 0.5*base*height = 0.5*5*23 = 57.5. | triangle_area |
734,334 | 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 |
734,335 | roots | easy | What is the square root of 9? | 3 | Find number that when squared gives 9. 3*3=9, so sqrt(9)=3. | square_roots |
734,336 | word_problems | easy | If you have 66 books and you buy 49 more books, how many books do you have in total? | 115 | Add initial 66 plus bought 49: 66+49=115. | addition_word |
734,337 | fractions | medium | What is 7/10 - 15/8? Give as simplified fraction. | -47/40 | Common denominator 80. Numerator 56-150=-94. So -94/80 simplifies to -47/40. | fraction_operations |
734,338 | algebra | medium | Solve for x: x^2 + 17x + 70 = 0 | x = -7, -10 | Factor: (x - -7)(x - -10) = x^2 -(-17)x + 70 = 0. So x = -7 or -10. Check sum = -17, product = 70. | quadratic |
734,339 | arithmetic | easy | What is 54 + 61 * 23? Remember order of operations. | 1457 | Order of operations (PEMDAS): first 61*23=1403, then 54+1403=1457. | basic_operations |
734,340 | 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 |
734,341 | algebra | medium | Solve for x: x^2 - 5x - 6 = 0 | x = -1, 6 | Factor: (x - -1)(x - 6) = x^2 -(5)x + -6 = 0. So x = -1 or 6. Check sum = 5, product = -6. | quadratic |
734,342 | percentages | easy | What is 5% of 100? | 5 | Calculate 5/100 * 100 = 0.05*100 = 5. | percentages |
734,343 | geometry | easy | Find the area of a circle with radius 41. Use pi=3.14159, round to 2 decimals. | 5281.02 | Area = pi*r^2 = 3.14159*41^2 = 3.14159*1681 = 5281.02. | circle_area |
734,344 | statistics | easy | What is the mean (average) of 62, 83, 89? | 78 | Mean = sum/count. Sum = 62+83+89=234. Count=3. Mean=234/3=78.0. | mean |
734,345 | arithmetic | easy | What is 22448 divided by 77? Give answer to 2 decimal places. | 291.53 | Calculate 22448/ 77 = 291.5325, rounded to 2 decimals is 291.53. | division |
734,346 | 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 |
734,347 | arithmetic | easy | What is 5054 / 38? | 133 | Divide: 5054 ÷ 38 = 133 because 38*133=5054. | division |
734,348 | 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 |
734,349 | arithmetic | easy | What is 4 * 22? | 88 | Multiply: 4 * 22 = 88. | basic_operations |
734,350 | exponents | easy | What is 7^2? | 49 | 7^2 means multiply 7 by itself 2 times: 7*7 = 49. | exponents |
734,351 | 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 |
734,352 | geometry | easy | Find the circumference of a circle with radius 25. Use pi=3.14159, round to 2 decimals. | 157.08 | Circumference = 2*pi*r = 2*3.14159*25 = 157.08. | circle_circum |
734,353 | word_problems | easy | If you have 90 books and you buy 14 more books, how many books do you have in total? | 104 | Add initial 90 plus bought 14: 90+14=104. | addition_word |
734,354 | arithmetic | easy | What is 552 / 3? | 184 | Divide: 552 ÷ 3 = 184 because 3*184=552. | division |
734,355 | arithmetic | easy | What is 4464 / 48? | 93 | Divide: 4464 ÷ 48 = 93 because 48*93=4464. | division |
734,356 | number_theory | medium | What is the GCD (greatest common divisor) of 1 and 16? | 1 | Find greatest number dividing both 1 and 16. Divisors common, greatest is 1. | gcd |
734,357 | percentages | easy | What is 53% of 392? | 207.76 | Calculate 53/100 * 392 = 0.53*392 = 207.76. | percentages |
734,358 | fractions | medium | What is 3/19 + 18/18? Give as simplified fraction. | 22/19 | Common denominator 19*18=342. 3/19=54/342, 18/18=342/342. Sum = 396/342 = 22/19 simplified. | fraction_operations |
734,359 | calculus | medium | What is the derivative of 4x^2 with respect to x? | 8x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^2] = 4*2*x^1 = 8x. | derivative |
734,360 | arithmetic | easy | What is 9731 divided by 86? Give answer to 2 decimal places. | 113.15 | Calculate 9731/ 86 = 113.1512, rounded to 2 decimals is 113.15. | division |
734,361 | number_theory | medium | What is the LCM (least common multiple) of 74 and 23? | 1702 | LCM = |74*23| / GCD(74,23). GCD=1, so LCM=1702/1=1702. | lcm |
734,362 | percentages | easy | What is 37% of 380? | 140.6 | Calculate 37/100 * 380 = 0.37*380 = 140.6. | percentages |
734,363 | fractions | medium | What is 19/12 + 6/15? Give as simplified fraction. | 119/60 | Common denominator 12*15=180. 19/12=285/180, 6/15=72/180. Sum = 357/180 = 119/60 simplified. | fraction_operations |
734,364 | arithmetic | easy | What is 37 + 80 * 42? Remember order of operations. | 3397 | Order of operations (PEMDAS): first 80*42=3360, then 37+3360=3397. | basic_operations |
734,365 | arithmetic | easy | What is 747 + 907? | 1654 | Add the two numbers: 747 + 907 = 1654. | basic_operations |
734,366 | percentages | easy | What is 81% of 351? | 284.31 | Calculate 81/100 * 351 = 0.81*351 = 284.31. | percentages |
734,367 | 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 |
734,368 | statistics | easy | What is the mean (average) of 70, 100, 67? | 79 | Mean = sum/count. Sum = 70+100+67=237. Count=3. Mean=237/3=79.0. | mean |
734,369 | algebra | easy | Solve for x: 15x - 24 = 156 | 12 | Add 24 to both sides: 15x = 156+24=180. Then x = 180/15 = 12. | linear_equation |
734,370 | exponents | easy | What is 11^2? | 121 | 11^2 means multiply 11 by itself 2 times: 11*11 = 121. | exponents |
734,371 | 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 |
734,372 | arithmetic | easy | What is 257 - 123? | 134 | Subtract: 257 - 123 = 134. | basic_operations |
734,373 | arithmetic | easy | What is 38313 / 99? | 387 | Divide: 38313 ÷ 99 = 387 because 99*387=38313. | division |
734,374 | algebra | easy | Solve for x: 6x + 34 = -32 | -11 | Subtract 34 from both sides: 6x = -32-34=-66. Then divide by 6: x = -66/6 = -11. | linear_equation |
734,375 | algebra | medium | Solve for x: x^2 + 4x + 3 = 0 | x = -1, -3 | Factor: (x - -1)(x - -3) = x^2 -(-4)x + 3 = 0. So x = -1 or -3. Check sum = -4, product = 3. | quadratic |
734,376 | percentages | easy | What is 94% of 538? | 505.72 | Calculate 94/100 * 538 = 0.94*538 = 505.72. | percentages |
734,377 | algebra | medium | Solve for x: x^2 - 7x - 18 = 0 | x = -2, 9 | Factor: (x - -2)(x - 9) = x^2 -(7)x + -18 = 0. So x = -2 or 9. Check sum = 7, product = -18. | quadratic |
734,378 | fractions | medium | What is 6/3 + 3/2? Give as simplified fraction. | 7/2 | Common denominator 3*2=6. 6/3=12/6, 3/2=9/6. Sum = 21/6 = 7/2 simplified. | fraction_operations |
734,379 | roots | easy | What is the square root of 2304? | 48 | Find number that when squared gives 2304. 48*48=2304, so sqrt(2304)=48. | square_roots |
734,380 | percentages | easy | What is 29% of 603? | 174.87 | Calculate 29/100 * 603 = 0.29*603 = 174.87. | percentages |
734,381 | calculus | medium | What is the derivative of 6x^4 with respect to x? | 24x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^4] = 6*4*x^3 = 24x^3. | derivative |
734,382 | algebra | medium | Solve for x: x^2 - 10x + 9 = 0 | x = 9, 1 | Factor: (x - 9)(x - 1) = x^2 -(10)x + 9 = 0. So x = 9 or 1. Check sum = 10, product = 9. | quadratic |
734,383 | statistics | easy | What is the mean (average) of 69, 58, 95, 6? | 57 | Mean = sum/count. Sum = 69+58+95+6=228. Count=4. Mean=228/4=57.0. | mean |
734,384 | fractions | medium | What is 6/5 * 18/17? Give as simplified fraction. | 108/85 | Multiply numerators: 6*18=108. Denominators: 5*17=85. Simplify by gcd 1 to get 108/85. | fraction_operations |
734,385 | exponents | easy | What is 4^3? | 64 | 4^3 means multiply 4 by itself 3 times: 4*4*4 = 64. | exponents |
734,386 | exponents | easy | What is 12^2? | 144 | 12^2 means multiply 12 by itself 2 times: 12*12 = 144. | exponents |
734,387 | arithmetic | easy | What is 7072 / 32? | 221 | Divide: 7072 ÷ 32 = 221 because 32*221=7072. | division |
734,388 | roots | easy | What is the square root of 121? | 11 | Find number that when squared gives 121. 11*11=121, so sqrt(121)=11. | square_roots |
734,389 | arithmetic | easy | What is 34776 / 84? | 414 | Divide: 34776 ÷ 84 = 414 because 84*414=34776. | division |
734,390 | algebra | medium | Solve for x: x^2 - 6x - 16 = 0 | x = 8, -2 | Factor: (x - 8)(x - -2) = x^2 -(6)x + -16 = 0. So x = 8 or -2. Check sum = 6, product = -16. | quadratic |
734,391 | arithmetic | easy | What is 751 - 564? | 187 | Subtract: 751 - 564 = 187. | basic_operations |
734,392 | percentages | easy | What is 26% of 574? | 149.24 | Calculate 26/100 * 574 = 0.26*574 = 149.24. | percentages |
734,393 | 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 |
734,394 | arithmetic | easy | What is 17640 / 60? | 294 | Divide: 17640 ÷ 60 = 294 because 60*294=17640. | division |
734,395 | statistics | easy | What is the mean (average) of 15, 57, 59, 78, 42? | 50.2 | Mean = sum/count. Sum = 15+57+59+78+42=251. Count=5. Mean=251/5=50.2. | mean |
734,396 | number_theory | medium | What is the LCM (least common multiple) of 75 and 54? | 1350 | LCM = |75*54| / GCD(75,54). GCD=3, so LCM=4050/3=1350. | lcm |
734,397 | calculus | medium | What is the derivative of 8x^5 with respect to x? | 40x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^5] = 8*5*x^4 = 40x^4. | derivative |
734,398 | 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 |
734,399 | statistics | easy | What is the mean (average) of 29, 90, 3? | 40.67 | Mean = sum/count. Sum = 29+90+3=122. Count=3. Mean=122/3=40.67. | mean |
734,400 | number_theory | medium | What is the LCM (least common multiple) of 43 and 4? | 172 | LCM = |43*4| / GCD(43,4). GCD=1, so LCM=172/1=172. | lcm |
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