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 |
|---|---|---|---|---|---|---|
13,301 | arithmetic | easy | What is 993 + 710 * 86? Remember order of operations. | 62053 | Order of operations (PEMDAS): first 710*86=61060, then 993+61060=62053. | basic_operations |
13,302 | statistics | easy | What is the mean (average) of 83, 26, 95, 14? | 54.5 | Mean = sum/count. Sum = 83+26+95+14=218. Count=4. Mean=218/4=54.5. | mean |
13,303 | roots | easy | What is the square root of 841? | 29 | Find number that when squared gives 841. 29*29=841, so sqrt(841)=29. | square_roots |
13,304 | number_theory | medium | What is the GCD (greatest common divisor) of 83 and 86? | 1 | Find greatest number dividing both 83 and 86. Divisors common, greatest is 1. | gcd |
13,305 | algebra | medium | Solve for x: x^2 - 9x = 0 | x = 9, 0 | Factor: (x - 9)(x - 0) = x^2 -(9)x + 0 = 0. So x = 9 or 0. Check sum = 9, product = 0. | quadratic |
13,306 | arithmetic | easy | What is 51 * 5? | 255 | Multiply: 51 * 5 = 255. | basic_operations |
13,307 | arithmetic | easy | What is 435 - 219? | 216 | Subtract: 435 - 219 = 216. | basic_operations |
13,308 | word_problems | easy | If you have 51 candies and you buy 26 more candies, how many candies do you have in total? | 77 | Add initial 51 plus bought 26: 51+26=77. | addition_word |
13,309 | number_theory | medium | What is the LCM (least common multiple) of 27 and 99? | 297 | LCM = |27*99| / GCD(27,99). GCD=9, so LCM=2673/9=297. | lcm |
13,310 | arithmetic | easy | What is 910 - 324? | 586 | Subtract: 910 - 324 = 586. | basic_operations |
13,311 | statistics | easy | What is the mean (average) of 26, 77, 18, 64? | 46.25 | Mean = sum/count. Sum = 26+77+18+64=185. Count=4. Mean=185/4=46.25. | mean |
13,312 | arithmetic | easy | What is 531 + 108? | 639 | Add the two numbers: 531 + 108 = 639. | basic_operations |
13,313 | arithmetic | easy | What is 781 + 847 * 92? Remember order of operations. | 78705 | Order of operations (PEMDAS): first 847*92=77924, then 781+77924=78705. | basic_operations |
13,314 | arithmetic | easy | What is 877 + 3 * 15? Remember order of operations. | 922 | Order of operations (PEMDAS): first 3*15=45, then 877+45=922. | basic_operations |
13,315 | algebra | easy | Solve for x: 1x + 14 = 3 | -11 | Subtract 14 from both sides: 1x = 3-14=-11. Then divide by 1: x = -11/1 = -11. | linear_equation |
13,316 | percentages | easy | What is 33% of 929? | 306.57 | Calculate 33/100 * 929 = 0.33*929 = 306.57. | percentages |
13,317 | arithmetic | easy | What is 20800 / 100? | 208 | Divide: 20800 ÷ 100 = 208 because 100*208=20800. | division |
13,318 | word_problems | easy | If you have 49 pencils and you buy 32 more pencils, how many pencils do you have in total? | 81 | Add initial 49 plus bought 32: 49+32=81. | addition_word |
13,319 | number_theory | medium | What is the LCM (least common multiple) of 15 and 52? | 780 | LCM = |15*52| / GCD(15,52). GCD=1, so LCM=780/1=780. | lcm |
13,320 | arithmetic | easy | What is 577 + 19 * 64? Remember order of operations. | 1793 | Order of operations (PEMDAS): first 19*64=1216, then 577+1216=1793. | basic_operations |
13,321 | geometry | easy | Find the area of a triangle with base 7 and height 36. | 126 | Area = 0.5*base*height = 0.5*7*36 = 126. | triangle_area |
13,322 | percentages | easy | What is 76% of 296? | 224.96 | Calculate 76/100 * 296 = 0.76*296 = 224.96. | percentages |
13,323 | calculus | medium | What is the derivative of 2x^7 with respect to x? | 14x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^7] = 2*7*x^6 = 14x^6. | derivative |
13,324 | 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 |
13,325 | algebra | easy | Solve for x: 5x + 38 = -12 | -10 | Subtract 38 from both sides: 5x = -12-38=-50. Then divide by 5: x = -50/5 = -10. | linear_equation |
13,326 | word_problems | easy | If you have 93 books and you buy 29 more books, how many books do you have in total? | 122 | Add initial 93 plus bought 29: 93+29=122. | addition_word |
13,327 | 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 |
13,328 | arithmetic | easy | What is 5 * 22? | 110 | Multiply: 5 * 22 = 110. | basic_operations |
13,329 | arithmetic | easy | What is 84 * 39? | 3276 | Multiply: 84 * 39 = 3276. | basic_operations |
13,330 | 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 |
13,331 | 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 |
13,332 | algebra | easy | Solve for x: 3x + 40 = 79 | 13 | Subtract 40 from both sides: 3x = 79-40=39. Then divide by 3: x = 39/3 = 13. | linear_equation |
13,333 | 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 |
13,334 | calculus | medium | What is the derivative of 10x^4 with respect to x? | 40x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^4] = 10*4*x^3 = 40x^3. | derivative |
13,335 | fractions | medium | What is 7/20 - 15/10? Give as simplified fraction. | -23/20 | Common denominator 200. Numerator 70-300=-230. So -230/200 simplifies to -23/20. | fraction_operations |
13,336 | fractions | medium | What is 20/4 + 18/3? Give as simplified fraction. | 11 | Common denominator 4*3=12. 20/4=60/12, 18/3=72/12. Sum = 132/12 = 11 simplified. | fraction_operations |
13,337 | percentages | easy | What is 70% of 302? | 211.4 | Calculate 70/100 * 302 = 0.7*302 = 211.4. | percentages |
13,338 | word_problems | easy | If you have 57 dollars and you buy 6 more dollars, how many dollars do you have in total? | 63 | Add initial 57 plus bought 6: 57+6=63. | addition_word |
13,339 | exponents | easy | What is 6^3? | 216 | 6^3 means multiply 6 by itself 3 times: 6*6*6 = 216. | exponents |
13,340 | percentages | easy | What is 86% of 693? | 595.98 | Calculate 86/100 * 693 = 0.86*693 = 595.98. | percentages |
13,341 | word_problems | easy | If you have 34 apples and you buy 25 more apples, how many apples do you have in total? | 59 | Add initial 34 plus bought 25: 34+25=59. | addition_word |
13,342 | arithmetic | easy | What is 525 + 338 * 57? Remember order of operations. | 19791 | Order of operations (PEMDAS): first 338*57=19266, then 525+19266=19791. | basic_operations |
13,343 | word_problems | easy | If you have 82 candies and you buy 20 more candies, how many candies do you have in total? | 102 | Add initial 82 plus bought 20: 82+20=102. | addition_word |
13,344 | calculus | medium | What is the derivative of 4x^8 with respect to x? | 32x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^8] = 4*8*x^7 = 32x^7. | derivative |
13,345 | arithmetic | easy | What is 25323 / 69? | 367 | Divide: 25323 ÷ 69 = 367 because 69*367=25323. | division |
13,346 | algebra | medium | Solve for x: x^2 + 2x - 80 = 0 | x = 8, -10 | Factor: (x - 8)(x - -10) = x^2 -(-2)x + -80 = 0. So x = 8 or -10. Check sum = -2, product = -80. | quadratic |
13,347 | arithmetic | easy | What is 163 + 293? | 456 | Add the two numbers: 163 + 293 = 456. | basic_operations |
13,348 | 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 |
13,349 | fractions | medium | What is 10/14 + 3/12? Give as simplified fraction. | 27/28 | Common denominator 14*12=168. 10/14=120/168, 3/12=42/168. Sum = 162/168 = 27/28 simplified. | fraction_operations |
13,350 | algebra | medium | Solve for x: x^2 + 4x - 21 = 0 | x = -7, 3 | Factor: (x - -7)(x - 3) = x^2 -(-4)x + -21 = 0. So x = -7 or 3. Check sum = -4, product = -21. | quadratic |
13,351 | statistics | easy | What is the mean (average) of 95, 1, 67, 78? | 60.25 | Mean = sum/count. Sum = 95+1+67+78=241. Count=4. Mean=241/4=60.25. | mean |
13,352 | 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 |
13,353 | arithmetic | easy | What is 388 - 21? | 367 | Subtract: 388 - 21 = 367. | basic_operations |
13,354 | word_problems | easy | If you have 69 books and you buy 44 more books, how many books do you have in total? | 113 | Add initial 69 plus bought 44: 69+44=113. | addition_word |
13,355 | exponents | easy | What is 4^4? | 256 | 4^4 means multiply 4 by itself 4 times: 4*4*4*4 = 256. | exponents |
13,356 | 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 |
13,357 | algebra | easy | Solve for x: 19x - 23 = 262 | 15 | Add 23 to both sides: 19x = 262+23=285. Then x = 285/19 = 15. | linear_equation |
13,358 | 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 |
13,359 | arithmetic | easy | What is 38 * 81? | 3078 | Multiply: 38 * 81 = 3078. | basic_operations |
13,360 | percentages | easy | What is 74% of 564? | 417.36 | Calculate 74/100 * 564 = 0.74*564 = 417.36. | percentages |
13,361 | 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 |
13,362 | fractions | medium | What is 9/14 * 13/2? Give as simplified fraction. | 117/28 | Multiply numerators: 9*13=117. Denominators: 14*2=28. Simplify by gcd 1 to get 117/28. | fraction_operations |
13,363 | arithmetic | easy | What is 5134 / 34? | 151 | Divide: 5134 ÷ 34 = 151 because 34*151=5134. | division |
13,364 | algebra | easy | Solve for x: 20x + 41 = 141 | 5 | Subtract 41 from both sides: 20x = 141-41=100. Then divide by 20: x = 100/20 = 5. | linear_equation |
13,365 | roots | easy | What is the square root of 225? | 15 | Find number that when squared gives 225. 15*15=225, so sqrt(225)=15. | square_roots |
13,366 | algebra | medium | Solve for x: x^2 - 4x - 21 = 0 | x = 7, -3 | Factor: (x - 7)(x - -3) = x^2 -(4)x + -21 = 0. So x = 7 or -3. Check sum = 4, product = -21. | quadratic |
13,367 | arithmetic | easy | What is 353 + 679? | 1032 | Add the two numbers: 353 + 679 = 1032. | basic_operations |
13,368 | word_problems | easy | If you have 81 pencils and you buy 7 more pencils, how many pencils do you have in total? | 88 | Add initial 81 plus bought 7: 81+7=88. | addition_word |
13,369 | arithmetic | easy | What is 90 * 64? | 5760 | Multiply: 90 * 64 = 5760. | basic_operations |
13,370 | arithmetic | easy | What is 91 * 98? | 8918 | Multiply: 91 * 98 = 8918. | basic_operations |
13,371 | percentages | easy | What is 31% of 953? | 295.43 | Calculate 31/100 * 953 = 0.31*953 = 295.43. | percentages |
13,372 | geometry | easy | Find the area of a circle with radius 5. Use pi=3.14159, round to 2 decimals. | 78.54 | Area = pi*r^2 = 3.14159*5^2 = 3.14159*25 = 78.54. | circle_area |
13,373 | algebra | medium | Solve for x: x^2 - 15x + 54 = 0 | x = 9, 6 | Factor: (x - 9)(x - 6) = x^2 -(15)x + 54 = 0. So x = 9 or 6. Check sum = 15, product = 54. | quadratic |
13,374 | algebra | easy | Solve for x: 20x + 32 = -48 | -4 | Subtract 32 from both sides: 20x = -48-32=-80. Then divide by 20: x = -80/20 = -4. | linear_equation |
13,375 | number_theory | medium | What is the GCD (greatest common divisor) of 35 and 97? | 1 | Find greatest number dividing both 35 and 97. Divisors common, greatest is 1. | gcd |
13,376 | fractions | medium | What is 7/17 + 18/18? Give as simplified fraction. | 24/17 | Common denominator 17*18=306. 7/17=126/306, 18/18=306/306. Sum = 432/306 = 24/17 simplified. | fraction_operations |
13,377 | exponents | easy | What is 12^5? | 248832 | 12^5 means multiply 12 by itself 5 times: 12*12*12*12*12 = 248832. | exponents |
13,378 | exponents | easy | What is 4^4? | 256 | 4^4 means multiply 4 by itself 4 times: 4*4*4*4 = 256. | exponents |
13,379 | arithmetic | easy | What is 469 + 823? | 1292 | Add the two numbers: 469 + 823 = 1292. | basic_operations |
13,380 | algebra | easy | Solve for x: 2x - 25 = 11 | 18 | Add 25 to both sides: 2x = 11+25=36. Then x = 36/2 = 18. | linear_equation |
13,381 | number_theory | medium | What is the GCD (greatest common divisor) of 87 and 8? | 1 | Find greatest number dividing both 87 and 8. Divisors common, greatest is 1. | gcd |
13,382 | word_problems | easy | If you have 70 candies and you buy 28 more candies, how many candies do you have in total? | 98 | Add initial 70 plus bought 28: 70+28=98. | addition_word |
13,383 | word_problems | easy | If you have 47 apples and you buy 22 more apples, how many apples do you have in total? | 69 | Add initial 47 plus bought 22: 47+22=69. | addition_word |
13,384 | arithmetic | easy | What is 41 * 62? | 2542 | Multiply: 41 * 62 = 2542. | basic_operations |
13,385 | calculus | medium | What is the derivative of 1x^7 with respect to x? | 7x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^7] = 1*7*x^6 = 7x^6. | derivative |
13,386 | percentages | easy | What is 51% of 880? | 448.8 | Calculate 51/100 * 880 = 0.51*880 = 448.8. | percentages |
13,387 | word_problems | easy | If you have 31 candies and you buy 14 more candies, how many candies do you have in total? | 45 | Add initial 31 plus bought 14: 31+14=45. | addition_word |
13,388 | arithmetic | easy | What is 276 + 186 * 33? Remember order of operations. | 6414 | Order of operations (PEMDAS): first 186*33=6138, then 276+6138=6414. | basic_operations |
13,389 | number_theory | medium | What is the LCM (least common multiple) of 98 and 12? | 588 | LCM = |98*12| / GCD(98,12). GCD=2, so LCM=1176/2=588. | lcm |
13,390 | percentages | easy | What is 20% of 631? | 126.2 | Calculate 20/100 * 631 = 0.2*631 = 126.2. | percentages |
13,391 | 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 |
13,392 | 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 |
13,393 | arithmetic | easy | What is 21 + 90 * 66? Remember order of operations. | 5961 | Order of operations (PEMDAS): first 90*66=5940, then 21+5940=5961. | basic_operations |
13,394 | percentages | easy | What is 54% of 309? | 166.86 | Calculate 54/100 * 309 = 0.54*309 = 166.86. | percentages |
13,395 | roots | easy | What is the square root of 25? | 5 | Find number that when squared gives 25. 5*5=25, so sqrt(25)=5. | square_roots |
13,396 | word_problems | easy | If you have 72 candies and you buy 11 more candies, how many candies do you have in total? | 83 | Add initial 72 plus bought 11: 72+11=83. | addition_word |
13,397 | number_theory | medium | What is the LCM (least common multiple) of 96 and 64? | 192 | LCM = |96*64| / GCD(96,64). GCD=32, so LCM=6144/32=192. | lcm |
13,398 | fractions | medium | What is 2/14 - 3/10? Give as simplified fraction. | -11/70 | Common denominator 140. Numerator 20-42=-22. So -22/140 simplifies to -11/70. | fraction_operations |
13,399 | arithmetic | easy | What is 505 - 82? | 423 | Subtract: 505 - 82 = 423. | basic_operations |
13,400 | 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 |
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