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 |
|---|---|---|---|---|---|---|
4,801 | arithmetic | easy | What is 42245 divided by 89? Give answer to 2 decimal places. | 474.66 | Calculate 42245/ 89 = 474.6629, rounded to 2 decimals is 474.66. | division |
4,802 | word_problems | easy | If you have 89 apples and you buy 9 more apples, how many apples do you have in total? | 98 | Add initial 89 plus bought 9: 89+9=98. | addition_word |
4,803 | arithmetic | easy | What is 31205 / 79? | 395 | Divide: 31205 ÷ 79 = 395 because 79*395=31205. | division |
4,804 | arithmetic | easy | What is 10350 / 50? | 207 | Divide: 10350 ÷ 50 = 207 because 50*207=10350. | division |
4,805 | algebra | medium | Solve for x: x^2 + 16x + 63 = 0 | x = -9, -7 | Factor: (x - -9)(x - -7) = x^2 -(-16)x + 63 = 0. So x = -9 or -7. Check sum = -16, product = 63. | quadratic |
4,806 | arithmetic | easy | What is 458 - 140? | 318 | Subtract: 458 - 140 = 318. | basic_operations |
4,807 | word_problems | easy | If you have 36 pencils and you buy 13 more pencils, how many pencils do you have in total? | 49 | Add initial 36 plus bought 13: 36+13=49. | addition_word |
4,808 | fractions | medium | What is 2/11 - 19/8? Give as simplified fraction. | -193/88 | Common denominator 88. Numerator 16-209=-193. So -193/88 simplifies to -193/88. | fraction_operations |
4,809 | calculus | medium | What is the derivative of 4x^4 with respect to x? | 16x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^4] = 4*4*x^3 = 16x^3. | derivative |
4,810 | arithmetic | easy | What is 86 * 39? | 3354 | Multiply: 86 * 39 = 3354. | basic_operations |
4,811 | arithmetic | easy | What is 8232 / 21? | 392 | Divide: 8232 ÷ 21 = 392 because 21*392=8232. | division |
4,812 | arithmetic | easy | What is 1899 divided by 13? Give answer to 2 decimal places. | 146.08 | Calculate 1899/ 13 = 146.0769, rounded to 2 decimals is 146.08. | division |
4,813 | algebra | easy | Solve for x: 11x - 49 = 127 | 16 | Add 49 to both sides: 11x = 127+49=176. Then x = 176/11 = 16. | linear_equation |
4,814 | 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 |
4,815 | algebra | easy | Solve for x: 20x - 14 = 66 | 4 | Add 14 to both sides: 20x = 66+14=80. Then x = 80/20 = 4. | linear_equation |
4,816 | algebra | easy | Solve for x: 1x + 25 = 17 | -8 | Subtract 25 from both sides: 1x = 17-25=-8. Then divide by 1: x = -8/1 = -8. | linear_equation |
4,817 | number_theory | medium | What is the LCM (least common multiple) of 45 and 93? | 1395 | LCM = |45*93| / GCD(45,93). GCD=3, so LCM=4185/3=1395. | lcm |
4,818 | arithmetic | easy | What is 1 * 28? | 28 | Multiply: 1 * 28 = 28. | basic_operations |
4,819 | number_theory | medium | What is the LCM (least common multiple) of 17 and 100? | 1700 | LCM = |17*100| / GCD(17,100). GCD=1, so LCM=1700/1=1700. | lcm |
4,820 | arithmetic | easy | What is 795 + 100 * 30? Remember order of operations. | 3795 | Order of operations (PEMDAS): first 100*30=3000, then 795+3000=3795. | basic_operations |
4,821 | geometry | easy | Find the perimeter of a rectangle with length 55 and width 46. | 202 | Perimeter = 2*(length+width) = 2*(55+46) = 2*101 = 202. | rectangle_perim |
4,822 | 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 |
4,823 | number_theory | medium | What is the GCD (greatest common divisor) of 50 and 40? | 10 | Find greatest number dividing both 50 and 40. Divisors common, greatest is 10. | gcd |
4,824 | fractions | medium | What is 1/10 + 3/6? Give as simplified fraction. | 3/5 | Common denominator 10*6=60. 1/10=6/60, 3/6=30/60. Sum = 36/60 = 3/5 simplified. | fraction_operations |
4,825 | algebra | easy | Solve for x: 16x - 44 = 68 | 7 | Add 44 to both sides: 16x = 68+44=112. Then x = 112/16 = 7. | linear_equation |
4,826 | arithmetic | easy | What is 15131 divided by 48? Give answer to 2 decimal places. | 315.23 | Calculate 15131/ 48 = 315.2292, rounded to 2 decimals is 315.23. | division |
4,827 | percentages | easy | What is 72% of 507? | 365.04 | Calculate 72/100 * 507 = 0.72*507 = 365.04. | percentages |
4,828 | geometry | easy | Find the area of a rectangle with length 22 and width 77. | 1694 | Area = length * width = 22*77 = 1694. | rectangle_area |
4,829 | arithmetic | easy | What is 454 + 737? | 1191 | Add the two numbers: 454 + 737 = 1191. | basic_operations |
4,830 | arithmetic | easy | What is 423 + 234? | 657 | Add the two numbers: 423 + 234 = 657. | basic_operations |
4,831 | arithmetic | easy | What is 7380 / 45? | 164 | Divide: 7380 ÷ 45 = 164 because 45*164=7380. | division |
4,832 | arithmetic | easy | What is 719 + 228 * 91? Remember order of operations. | 21467 | Order of operations (PEMDAS): first 228*91=20748, then 719+20748=21467. | basic_operations |
4,833 | arithmetic | easy | What is 128 - 18? | 110 | Subtract: 128 - 18 = 110. | basic_operations |
4,834 | calculus | medium | What is the derivative of 10x^5 with respect to x? | 50x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^5] = 10*5*x^4 = 50x^4. | derivative |
4,835 | word_problems | easy | If you have 52 dollars and you buy 28 more dollars, how many dollars do you have in total? | 80 | Add initial 52 plus bought 28: 52+28=80. | addition_word |
4,836 | arithmetic | easy | What is 100 * 45? | 4500 | Multiply: 100 * 45 = 4500. | basic_operations |
4,837 | 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 |
4,838 | algebra | medium | Solve for x: x^2 + 5x + 6 = 0 | x = -3, -2 | Factor: (x - -3)(x - -2) = x^2 -(-5)x + 6 = 0. So x = -3 or -2. Check sum = -5, product = 6. | quadratic |
4,839 | statistics | easy | What is the mean (average) of 18, 33, 60? | 37 | Mean = sum/count. Sum = 18+33+60=111. Count=3. Mean=111/3=37.0. | mean |
4,840 | 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 |
4,841 | arithmetic | easy | What is 1995 / 7? | 285 | Divide: 1995 ÷ 7 = 285 because 7*285=1995. | division |
4,842 | arithmetic | easy | What is 643 divided by 6? Give answer to 2 decimal places. | 107.17 | Calculate 643/ 6 = 107.1667, rounded to 2 decimals is 107.17. | division |
4,843 | percentages | easy | What is 13% of 461? | 59.93 | Calculate 13/100 * 461 = 0.13*461 = 59.93. | percentages |
4,844 | calculus | medium | What is the derivative of 2x^4 with respect to x? | 8x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^4] = 2*4*x^3 = 8x^3. | derivative |
4,845 | statistics | easy | What is the mean (average) of 55, 67, 6? | 42.67 | Mean = sum/count. Sum = 55+67+6=128. Count=3. Mean=128/3=42.67. | mean |
4,846 | arithmetic | easy | What is 47 + 58 * 94? Remember order of operations. | 5499 | Order of operations (PEMDAS): first 58*94=5452, then 47+5452=5499. | basic_operations |
4,847 | arithmetic | easy | What is 890 - 738? | 152 | Subtract: 890 - 738 = 152. | basic_operations |
4,848 | word_problems | easy | If you have 15 pencils and you buy 13 more pencils, how many pencils do you have in total? | 28 | Add initial 15 plus bought 13: 15+13=28. | addition_word |
4,849 | arithmetic | easy | What is 419 + 464 * 14? Remember order of operations. | 6915 | Order of operations (PEMDAS): first 464*14=6496, then 419+6496=6915. | basic_operations |
4,850 | percentages | easy | What is 43% of 82? | 35.26 | Calculate 43/100 * 82 = 0.43*82 = 35.26. | percentages |
4,851 | arithmetic | easy | What is 892 - 833? | 59 | Subtract: 892 - 833 = 59. | basic_operations |
4,852 | geometry | easy | Find the circumference of a circle with radius 20. Use pi=3.14159, round to 2 decimals. | 125.66 | Circumference = 2*pi*r = 2*3.14159*20 = 125.66. | circle_circum |
4,853 | fractions | medium | What is 13/7 + 4/8? Give as simplified fraction. | 33/14 | Common denominator 7*8=56. 13/7=104/56, 4/8=28/56. Sum = 132/56 = 33/14 simplified. | fraction_operations |
4,854 | arithmetic | easy | What is 579 - 446? | 133 | Subtract: 579 - 446 = 133. | basic_operations |
4,855 | number_theory | medium | What is the LCM (least common multiple) of 58 and 55? | 3190 | LCM = |58*55| / GCD(58,55). GCD=1, so LCM=3190/1=3190. | lcm |
4,856 | 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 |
4,857 | fractions | medium | What is 4/19 + 1/12? Give as simplified fraction. | 67/228 | Common denominator 19*12=228. 4/19=48/228, 1/12=19/228. Sum = 67/228 = 67/228 simplified. | fraction_operations |
4,858 | fractions | medium | What is 20/14 - 6/16? Give as simplified fraction. | 59/56 | Common denominator 224. Numerator 320-84=236. So 236/224 simplifies to 59/56. | fraction_operations |
4,859 | 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 |
4,860 | 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 |
4,861 | algebra | easy | Solve for x: 3x - 5 = 46 | 17 | Add 5 to both sides: 3x = 46+5=51. Then x = 51/3 = 17. | linear_equation |
4,862 | arithmetic | easy | What is 61 + 3 * 18? Remember order of operations. | 115 | Order of operations (PEMDAS): first 3*18=54, then 61+54=115. | basic_operations |
4,863 | geometry | easy | Find the circumference of a circle with radius 27. Use pi=3.14159, round to 2 decimals. | 169.65 | Circumference = 2*pi*r = 2*3.14159*27 = 169.65. | circle_circum |
4,864 | 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 |
4,865 | exponents | easy | What is 7^2? | 49 | 7^2 means multiply 7 by itself 2 times: 7*7 = 49. | exponents |
4,866 | arithmetic | easy | What is 815 - 120? | 695 | Subtract: 815 - 120 = 695. | basic_operations |
4,867 | word_problems | easy | If you have 20 apples and you buy 17 more apples, how many apples do you have in total? | 37 | Add initial 20 plus bought 17: 20+17=37. | addition_word |
4,868 | arithmetic | easy | What is 31 * 70? | 2170 | Multiply: 31 * 70 = 2170. | basic_operations |
4,869 | arithmetic | easy | What is 91 * 81? | 7371 | Multiply: 91 * 81 = 7371. | basic_operations |
4,870 | arithmetic | easy | What is 9 * 41? | 369 | Multiply: 9 * 41 = 369. | basic_operations |
4,871 | arithmetic | easy | What is 5 + 76 * 78? Remember order of operations. | 5933 | Order of operations (PEMDAS): first 76*78=5928, then 5+5928=5933. | basic_operations |
4,872 | statistics | easy | What is the mean (average) of 78, 68, 64, 82? | 73 | Mean = sum/count. Sum = 78+68+64+82=292. Count=4. Mean=292/4=73.0. | mean |
4,873 | percentages | easy | What is 83% of 67? | 55.61 | Calculate 83/100 * 67 = 0.83*67 = 55.61. | percentages |
4,874 | fractions | medium | What is 15/20 - 15/5? Give as simplified fraction. | -9/4 | Common denominator 100. Numerator 75-300=-225. So -225/100 simplifies to -9/4. | fraction_operations |
4,875 | calculus | medium | What is the derivative of 9x^6 with respect to x? | 54x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^6] = 9*6*x^5 = 54x^5. | derivative |
4,876 | exponents | easy | What is 3^5? | 243 | 3^5 means multiply 3 by itself 5 times: 3*3*3*3*3 = 243. | exponents |
4,877 | calculus | medium | What is the derivative of 3x^2 with respect to x? | 6x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^2] = 3*2*x^1 = 6x. | derivative |
4,878 | fractions | medium | What is 16/11 - 2/17? Give as simplified fraction. | 250/187 | Common denominator 187. Numerator 272-22=250. So 250/187 simplifies to 250/187. | fraction_operations |
4,879 | geometry | easy | Find the perimeter of a rectangle with length 30 and width 23. | 106 | Perimeter = 2*(length+width) = 2*(30+23) = 2*53 = 106. | rectangle_perim |
4,880 | 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 |
4,881 | algebra | medium | Solve for x: x^2 - 2x - 24 = 0 | x = -4, 6 | Factor: (x - -4)(x - 6) = x^2 -(2)x + -24 = 0. So x = -4 or 6. Check sum = 2, product = -24. | quadratic |
4,882 | exponents | easy | What is 11^2? | 121 | 11^2 means multiply 11 by itself 2 times: 11*11 = 121. | exponents |
4,883 | word_problems | easy | If you have 6 dollars and you buy 5 more dollars, how many dollars do you have in total? | 11 | Add initial 6 plus bought 5: 6+5=11. | addition_word |
4,884 | 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 |
4,885 | arithmetic | easy | What is 59 * 70? | 4130 | Multiply: 59 * 70 = 4130. | basic_operations |
4,886 | arithmetic | easy | What is 2743 / 13? | 211 | Divide: 2743 ÷ 13 = 211 because 13*211=2743. | division |
4,887 | arithmetic | easy | What is 34 * 13? | 442 | Multiply: 34 * 13 = 442. | basic_operations |
4,888 | arithmetic | easy | What is 97 * 79? | 7663 | Multiply: 97 * 79 = 7663. | basic_operations |
4,889 | word_problems | easy | If you have 23 apples and you buy 8 more apples, how many apples do you have in total? | 31 | Add initial 23 plus bought 8: 23+8=31. | addition_word |
4,890 | word_problems | easy | If you have 7 pencils and you buy 47 more pencils, how many pencils do you have in total? | 54 | Add initial 7 plus bought 47: 7+47=54. | addition_word |
4,891 | exponents | easy | What is 12^2? | 144 | 12^2 means multiply 12 by itself 2 times: 12*12 = 144. | exponents |
4,892 | arithmetic | easy | What is 994 - 560? | 434 | Subtract: 994 - 560 = 434. | basic_operations |
4,893 | algebra | easy | Solve for x: 6x + 47 = -31 | -13 | Subtract 47 from both sides: 6x = -31-47=-78. Then divide by 6: x = -78/6 = -13. | linear_equation |
4,894 | word_problems | easy | If you have 50 pencils and you buy 34 more pencils, how many pencils do you have in total? | 84 | Add initial 50 plus bought 34: 50+34=84. | addition_word |
4,895 | percentages | easy | What is 74% of 451? | 333.74 | Calculate 74/100 * 451 = 0.74*451 = 333.74. | percentages |
4,896 | number_theory | medium | What is the GCD (greatest common divisor) of 57 and 2? | 1 | Find greatest number dividing both 57 and 2. Divisors common, greatest is 1. | gcd |
4,897 | arithmetic | easy | What is 6 * 54? | 324 | Multiply: 6 * 54 = 324. | basic_operations |
4,898 | statistics | easy | What is the mean (average) of 12, 24, 25, 49, 73? | 36.6 | Mean = sum/count. Sum = 12+24+25+49+73=183. Count=5. Mean=183/5=36.6. | mean |
4,899 | arithmetic | easy | What is 307 + 610? | 917 | Add the two numbers: 307 + 610 = 917. | basic_operations |
4,900 | arithmetic | easy | What is 957 - 162? | 795 | Subtract: 957 - 162 = 795. | basic_operations |
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