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 |
|---|---|---|---|---|---|---|
729,801 | fractions | medium | What is 2/7 - 18/10? Give as simplified fraction. | -53/35 | Common denominator 70. Numerator 20-126=-106. So -106/70 simplifies to -53/35. | fraction_operations |
729,802 | number_theory | medium | What is the LCM (least common multiple) of 84 and 96? | 672 | LCM = |84*96| / GCD(84,96). GCD=12, so LCM=8064/12=672. | lcm |
729,803 | percentages | easy | What is 37% of 478? | 176.86 | Calculate 37/100 * 478 = 0.37*478 = 176.86. | percentages |
729,804 | algebra | medium | Solve for x: x^2 + 14x + 48 = 0 | x = -6, -8 | Factor: (x - -6)(x - -8) = x^2 -(-14)x + 48 = 0. So x = -6 or -8. Check sum = -14, product = 48. | quadratic |
729,805 | arithmetic | easy | What is 332 + 321 * 37? Remember order of operations. | 12209 | Order of operations (PEMDAS): first 321*37=11877, then 332+11877=12209. | basic_operations |
729,806 | arithmetic | easy | What is 55 + 73 * 9? Remember order of operations. | 712 | Order of operations (PEMDAS): first 73*9=657, then 55+657=712. | basic_operations |
729,807 | 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 |
729,808 | geometry | easy | Find the area of a triangle with base 49 and height 23. | 563.5 | Area = 0.5*base*height = 0.5*49*23 = 563.5. | triangle_area |
729,809 | word_problems | easy | If you have 56 candies and you buy 26 more candies, how many candies do you have in total? | 82 | Add initial 56 plus bought 26: 56+26=82. | addition_word |
729,810 | 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 |
729,811 | arithmetic | easy | What is 31872 / 96? | 332 | Divide: 31872 ÷ 96 = 332 because 96*332=31872. | division |
729,812 | number_theory | medium | What is the GCD (greatest common divisor) of 40 and 42? | 2 | Find greatest number dividing both 40 and 42. Divisors common, greatest is 2. | gcd |
729,813 | arithmetic | easy | What is 63 * 80? | 5040 | Multiply: 63 * 80 = 5040. | basic_operations |
729,814 | fractions | medium | What is 6/15 + 12/14? Give as simplified fraction. | 44/35 | Common denominator 15*14=210. 6/15=84/210, 12/14=180/210. Sum = 264/210 = 44/35 simplified. | fraction_operations |
729,815 | 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 |
729,816 | statistics | easy | What is the mean (average) of 41, 19, 43, 41? | 36 | Mean = sum/count. Sum = 41+19+43+41=144. Count=4. Mean=144/4=36.0. | mean |
729,817 | 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 |
729,818 | algebra | easy | Solve for x: 4x - 39 = -55 | -4 | Add 39 to both sides: 4x = -55+39=-16. Then x = -16/4 = -4. | linear_equation |
729,819 | arithmetic | easy | What is 47 + 43 * 49? Remember order of operations. | 2154 | Order of operations (PEMDAS): first 43*49=2107, then 47+2107=2154. | basic_operations |
729,820 | arithmetic | easy | What is 914 + 49? | 963 | Add the two numbers: 914 + 49 = 963. | basic_operations |
729,821 | fractions | medium | What is 19/14 * 12/7? Give as simplified fraction. | 114/49 | Multiply numerators: 19*12=228. Denominators: 14*7=98. Simplify by gcd 2 to get 114/49. | fraction_operations |
729,822 | 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 |
729,823 | 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 |
729,824 | geometry | easy | Find the perimeter of a rectangle with length 6 and width 62. | 136 | Perimeter = 2*(length+width) = 2*(6+62) = 2*68 = 136. | rectangle_perim |
729,825 | 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 |
729,826 | percentages | easy | What is 24% of 267? | 64.08 | Calculate 24/100 * 267 = 0.24*267 = 64.08. | percentages |
729,827 | algebra | easy | Solve for x: 8x - 26 = -90 | -8 | Add 26 to both sides: 8x = -90+26=-64. Then x = -64/8 = -8. | linear_equation |
729,828 | 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 |
729,829 | number_theory | medium | What is the GCD (greatest common divisor) of 68 and 48? | 4 | Find greatest number dividing both 68 and 48. Divisors common, greatest is 4. | gcd |
729,830 | arithmetic | easy | What is 603 - 174? | 429 | Subtract: 603 - 174 = 429. | basic_operations |
729,831 | number_theory | medium | What is the GCD (greatest common divisor) of 72 and 37? | 1 | Find greatest number dividing both 72 and 37. Divisors common, greatest is 1. | gcd |
729,832 | geometry | easy | Find the circumference of a circle with radius 1. Use pi=3.14159, round to 2 decimals. | 6.28 | Circumference = 2*pi*r = 2*3.14159*1 = 6.28. | circle_circum |
729,833 | fractions | medium | What is 8/6 - 6/10? Give as simplified fraction. | 11/15 | Common denominator 60. Numerator 80-36=44. So 44/60 simplifies to 11/15. | fraction_operations |
729,834 | statistics | easy | What is the mean (average) of 25, 21, 57, 40, 9? | 30.4 | Mean = sum/count. Sum = 25+21+57+40+9=152. Count=5. Mean=152/5=30.4. | mean |
729,835 | arithmetic | easy | What is 352 + 900? | 1252 | Add the two numbers: 352 + 900 = 1252. | basic_operations |
729,836 | percentages | easy | What is 78% of 986? | 769.08 | Calculate 78/100 * 986 = 0.78*986 = 769.08. | percentages |
729,837 | fractions | medium | What is 8/8 + 3/13? Give as simplified fraction. | 16/13 | Common denominator 8*13=104. 8/8=104/104, 3/13=24/104. Sum = 128/104 = 16/13 simplified. | fraction_operations |
729,838 | arithmetic | easy | What is 394 + 431? | 825 | Add the two numbers: 394 + 431 = 825. | basic_operations |
729,839 | statistics | easy | What is the mean (average) of 74, 41, 15? | 43.33 | Mean = sum/count. Sum = 74+41+15=130. Count=3. Mean=130/3=43.33. | mean |
729,840 | fractions | medium | What is 20/6 * 13/13? Give as simplified fraction. | 10/3 | Multiply numerators: 20*13=260. Denominators: 6*13=78. Simplify by gcd 26 to get 10/3. | fraction_operations |
729,841 | geometry | easy | Find the perimeter of a rectangle with length 19 and width 9. | 56 | Perimeter = 2*(length+width) = 2*(19+9) = 2*28 = 56. | rectangle_perim |
729,842 | 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 |
729,843 | roots | easy | What is the square root of 1? | 1 | Find number that when squared gives 1. 1*1=1, so sqrt(1)=1. | square_roots |
729,844 | 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 |
729,845 | roots | easy | What is the square root of 400? | 20 | Find number that when squared gives 400. 20*20=400, so sqrt(400)=20. | square_roots |
729,846 | geometry | easy | Find the perimeter of a rectangle with length 7 and width 4. | 22 | Perimeter = 2*(length+width) = 2*(7+4) = 2*11 = 22. | rectangle_perim |
729,847 | algebra | medium | Solve for x: x^2 - 6x - 27 = 0 | x = -3, 9 | Factor: (x - -3)(x - 9) = x^2 -(6)x + -27 = 0. So x = -3 or 9. Check sum = 6, product = -27. | quadratic |
729,848 | statistics | easy | What is the mean (average) of 46, 48, 61, 55, 86? | 59.2 | Mean = sum/count. Sum = 46+48+61+55+86=296. Count=5. Mean=296/5=59.2. | mean |
729,849 | word_problems | easy | If you have 27 dollars and you buy 27 more dollars, how many dollars do you have in total? | 54 | Add initial 27 plus bought 27: 27+27=54. | addition_word |
729,850 | fractions | medium | What is 8/19 - 2/10? Give as simplified fraction. | 21/95 | Common denominator 190. Numerator 80-38=42. So 42/190 simplifies to 21/95. | fraction_operations |
729,851 | arithmetic | easy | What is 802 + 450 * 61? Remember order of operations. | 28252 | Order of operations (PEMDAS): first 450*61=27450, then 802+27450=28252. | basic_operations |
729,852 | roots | easy | What is the square root of 64? | 8 | Find number that when squared gives 64. 8*8=64, so sqrt(64)=8. | square_roots |
729,853 | statistics | easy | What is the mean (average) of 5, 29, 77, 94? | 51.25 | Mean = sum/count. Sum = 5+29+77+94=205. Count=4. Mean=205/4=51.25. | mean |
729,854 | exponents | easy | What is 9^2? | 81 | 9^2 means multiply 9 by itself 2 times: 9*9 = 81. | exponents |
729,855 | arithmetic | easy | What is 658 + 237 * 55? Remember order of operations. | 13693 | Order of operations (PEMDAS): first 237*55=13035, then 658+13035=13693. | basic_operations |
729,856 | 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 |
729,857 | 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 |
729,858 | geometry | easy | Find the area of a circle with radius 26. Use pi=3.14159, round to 2 decimals. | 2123.72 | Area = pi*r^2 = 3.14159*26^2 = 3.14159*676 = 2123.72. | circle_area |
729,859 | statistics | easy | What is the mean (average) of 66, 79, 35, 77, 46? | 60.6 | Mean = sum/count. Sum = 66+79+35+77+46=303. Count=5. Mean=303/5=60.6. | mean |
729,860 | arithmetic | easy | What is 14141 / 79? | 179 | Divide: 14141 ÷ 79 = 179 because 79*179=14141. | division |
729,861 | arithmetic | easy | What is 325 - 86? | 239 | Subtract: 325 - 86 = 239. | basic_operations |
729,862 | statistics | easy | What is the mean (average) of 48, 21, 23, 95? | 46.75 | Mean = sum/count. Sum = 48+21+23+95=187. Count=4. Mean=187/4=46.75. | mean |
729,863 | exponents | easy | What is 7^3? | 343 | 7^3 means multiply 7 by itself 3 times: 7*7*7 = 343. | exponents |
729,864 | word_problems | easy | If you have 81 dollars and you buy 43 more dollars, how many dollars do you have in total? | 124 | Add initial 81 plus bought 43: 81+43=124. | addition_word |
729,865 | algebra | easy | Solve for x: 1x + 20 = 3 | -17 | Subtract 20 from both sides: 1x = 3-20=-17. Then divide by 1: x = -17/1 = -17. | linear_equation |
729,866 | algebra | easy | Solve for x: 11x + 41 = 140 | 9 | Subtract 41 from both sides: 11x = 140-41=99. Then divide by 11: x = 99/11 = 9. | linear_equation |
729,867 | algebra | medium | Solve for x: x^2 + 7x - 8 = 0 | x = 1, -8 | Factor: (x - 1)(x - -8) = x^2 -(-7)x + -8 = 0. So x = 1 or -8. Check sum = -7, product = -8. | quadratic |
729,868 | roots | easy | What is the square root of 256? | 16 | Find number that when squared gives 256. 16*16=256, so sqrt(256)=16. | square_roots |
729,869 | 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 |
729,870 | roots | easy | What is the square root of 16? | 4 | Find number that when squared gives 16. 4*4=16, so sqrt(16)=4. | square_roots |
729,871 | arithmetic | easy | What is 565 - 415? | 150 | Subtract: 565 - 415 = 150. | basic_operations |
729,872 | 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 |
729,873 | 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 |
729,874 | number_theory | medium | What is the LCM (least common multiple) of 61 and 58? | 3538 | LCM = |61*58| / GCD(61,58). GCD=1, so LCM=3538/1=3538. | lcm |
729,875 | 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 |
729,876 | geometry | easy | Find the area of a circle with radius 47. Use pi=3.14159, round to 2 decimals. | 6939.78 | Area = pi*r^2 = 3.14159*47^2 = 3.14159*2209 = 6939.78. | circle_area |
729,877 | arithmetic | easy | What is 39 + 533? | 572 | Add the two numbers: 39 + 533 = 572. | basic_operations |
729,878 | arithmetic | easy | What is 23128 / 49? | 472 | Divide: 23128 ÷ 49 = 472 because 49*472=23128. | division |
729,879 | arithmetic | easy | What is 68 * 50? | 3400 | Multiply: 68 * 50 = 3400. | basic_operations |
729,880 | roots | easy | What is the square root of 1521? | 39 | Find number that when squared gives 1521. 39*39=1521, so sqrt(1521)=39. | square_roots |
729,881 | arithmetic | easy | What is 274 - 28? | 246 | Subtract: 274 - 28 = 246. | basic_operations |
729,882 | arithmetic | easy | What is 913 - 241? | 672 | Subtract: 913 - 241 = 672. | basic_operations |
729,883 | calculus | medium | What is the derivative of 6x^7 with respect to x? | 42x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^7] = 6*7*x^6 = 42x^6. | derivative |
729,884 | arithmetic | easy | What is 76 * 75? | 5700 | Multiply: 76 * 75 = 5700. | basic_operations |
729,885 | arithmetic | easy | What is 878 - 171? | 707 | Subtract: 878 - 171 = 707. | basic_operations |
729,886 | roots | easy | What is the square root of 2209? | 47 | Find number that when squared gives 2209. 47*47=2209, so sqrt(2209)=47. | square_roots |
729,887 | 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 |
729,888 | arithmetic | easy | What is 378 - 300? | 78 | Subtract: 378 - 300 = 78. | basic_operations |
729,889 | word_problems | easy | If you have 33 apples and you buy 44 more apples, how many apples do you have in total? | 77 | Add initial 33 plus bought 44: 33+44=77. | addition_word |
729,890 | arithmetic | easy | What is 291 + 11? | 302 | Add the two numbers: 291 + 11 = 302. | basic_operations |
729,891 | arithmetic | easy | What is 13377 / 49? | 273 | Divide: 13377 ÷ 49 = 273 because 49*273=13377. | division |
729,892 | algebra | easy | Solve for x: 1x + 49 = 32 | -17 | Subtract 49 from both sides: 1x = 32-49=-17. Then divide by 1: x = -17/1 = -17. | linear_equation |
729,893 | number_theory | medium | What is the LCM (least common multiple) of 43 and 73? | 3139 | LCM = |43*73| / GCD(43,73). GCD=1, so LCM=3139/1=3139. | lcm |
729,894 | 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 |
729,895 | geometry | easy | Find the perimeter of a rectangle with length 93 and width 94. | 374 | Perimeter = 2*(length+width) = 2*(93+94) = 2*187 = 374. | rectangle_perim |
729,896 | algebra | medium | Solve for x: x^2 - 5x + 4 = 0 | x = 4, 1 | Factor: (x - 4)(x - 1) = x^2 -(5)x + 4 = 0. So x = 4 or 1. Check sum = 5, product = 4. | quadratic |
729,897 | number_theory | medium | What is the LCM (least common multiple) of 61 and 45? | 2745 | LCM = |61*45| / GCD(61,45). GCD=1, so LCM=2745/1=2745. | lcm |
729,898 | arithmetic | easy | What is 971 - 811? | 160 | Subtract: 971 - 811 = 160. | basic_operations |
729,899 | percentages | easy | What is 34% of 371? | 126.14 | Calculate 34/100 * 371 = 0.34*371 = 126.14. | percentages |
729,900 | arithmetic | easy | What is 25 * 51? | 1275 | Multiply: 25 * 51 = 1275. | basic_operations |
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