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 |
|---|---|---|---|---|---|---|
5,801 | arithmetic | easy | What is 61 * 57? | 3477 | Multiply: 61 * 57 = 3477. | basic_operations |
5,802 | number_theory | medium | What is the GCD (greatest common divisor) of 66 and 29? | 1 | Find greatest number dividing both 66 and 29. Divisors common, greatest is 1. | gcd |
5,803 | fractions | medium | What is 13/11 + 16/16? Give as simplified fraction. | 24/11 | Common denominator 11*16=176. 13/11=208/176, 16/16=176/176. Sum = 384/176 = 24/11 simplified. | fraction_operations |
5,804 | geometry | easy | Find the area of a rectangle with length 30 and width 92. | 2760 | Area = length * width = 30*92 = 2760. | rectangle_area |
5,805 | arithmetic | easy | What is 620 + 13? | 633 | Add the two numbers: 620 + 13 = 633. | basic_operations |
5,806 | number_theory | medium | What is the LCM (least common multiple) of 25 and 66? | 1650 | LCM = |25*66| / GCD(25,66). GCD=1, so LCM=1650/1=1650. | lcm |
5,807 | arithmetic | easy | What is 559 + 191 * 17? Remember order of operations. | 3806 | Order of operations (PEMDAS): first 191*17=3247, then 559+3247=3806. | basic_operations |
5,808 | geometry | easy | Find the perimeter of a rectangle with length 6 and width 34. | 80 | Perimeter = 2*(length+width) = 2*(6+34) = 2*40 = 80. | rectangle_perim |
5,809 | arithmetic | easy | What is 671 + 868? | 1539 | Add the two numbers: 671 + 868 = 1539. | basic_operations |
5,810 | arithmetic | easy | What is 742 - 669? | 73 | Subtract: 742 - 669 = 73. | basic_operations |
5,811 | arithmetic | easy | What is 275 + 777 * 36? Remember order of operations. | 28247 | Order of operations (PEMDAS): first 777*36=27972, then 275+27972=28247. | basic_operations |
5,812 | statistics | easy | What is the mean (average) of 76, 91, 35, 13, 73? | 57.6 | Mean = sum/count. Sum = 76+91+35+13+73=288. Count=5. Mean=288/5=57.6. | mean |
5,813 | fractions | medium | What is 6/10 * 12/9? Give as simplified fraction. | 4/5 | Multiply numerators: 6*12=72. Denominators: 10*9=90. Simplify by gcd 18 to get 4/5. | fraction_operations |
5,814 | arithmetic | easy | What is 79 + 40 * 62? Remember order of operations. | 2559 | Order of operations (PEMDAS): first 40*62=2480, then 79+2480=2559. | basic_operations |
5,815 | algebra | easy | Solve for x: 5x + 46 = 31 | -3 | Subtract 46 from both sides: 5x = 31-46=-15. Then divide by 5: x = -15/5 = -3. | linear_equation |
5,816 | word_problems | easy | If you have 8 pencils and you buy 38 more pencils, how many pencils do you have in total? | 46 | Add initial 8 plus bought 38: 8+38=46. | addition_word |
5,817 | statistics | easy | What is the mean (average) of 96, 50, 33? | 59.67 | Mean = sum/count. Sum = 96+50+33=179. Count=3. Mean=179/3=59.67. | mean |
5,818 | 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 |
5,819 | algebra | medium | Solve for x: x^2 + 4x - 5 = 0 | x = -5, 1 | Factor: (x - -5)(x - 1) = x^2 -(-4)x + -5 = 0. So x = -5 or 1. Check sum = -4, product = -5. | quadratic |
5,820 | arithmetic | easy | What is 508 + 863 * 39? Remember order of operations. | 34165 | Order of operations (PEMDAS): first 863*39=33657, then 508+33657=34165. | basic_operations |
5,821 | arithmetic | easy | What is 87 + 28 * 89? Remember order of operations. | 2579 | Order of operations (PEMDAS): first 28*89=2492, then 87+2492=2579. | basic_operations |
5,822 | arithmetic | easy | What is 4110 / 15? | 274 | Divide: 4110 ÷ 15 = 274 because 15*274=4110. | division |
5,823 | arithmetic | easy | What is 56 * 13? | 728 | Multiply: 56 * 13 = 728. | basic_operations |
5,824 | fractions | medium | What is 2/17 * 1/6? Give as simplified fraction. | 1/51 | Multiply numerators: 2*1=2. Denominators: 17*6=102. Simplify by gcd 2 to get 1/51. | fraction_operations |
5,825 | calculus | medium | What is the derivative of 3x^5 with respect to x? | 15x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^5] = 3*5*x^4 = 15x^4. | derivative |
5,826 | arithmetic | easy | What is 957 + 953 * 20? Remember order of operations. | 20017 | Order of operations (PEMDAS): first 953*20=19060, then 957+19060=20017. | basic_operations |
5,827 | roots | easy | What is the square root of 2500? | 50 | Find number that when squared gives 2500. 50*50=2500, so sqrt(2500)=50. | square_roots |
5,828 | percentages | easy | What is 51% of 915? | 466.65 | Calculate 51/100 * 915 = 0.51*915 = 466.65. | percentages |
5,829 | 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 |
5,830 | algebra | easy | Solve for x: 3x + 23 = 32 | 3 | Subtract 23 from both sides: 3x = 32-23=9. Then divide by 3: x = 9/3 = 3. | linear_equation |
5,831 | fractions | medium | What is 14/19 + 19/2? Give as simplified fraction. | 389/38 | Common denominator 19*2=38. 14/19=28/38, 19/2=361/38. Sum = 389/38 = 389/38 simplified. | fraction_operations |
5,832 | roots | easy | What is the square root of 900? | 30 | Find number that when squared gives 900. 30*30=900, so sqrt(900)=30. | square_roots |
5,833 | statistics | easy | What is the mean (average) of 41, 4, 8, 13, 64? | 26 | Mean = sum/count. Sum = 41+4+8+13+64=130. Count=5. Mean=130/5=26.0. | mean |
5,834 | percentages | easy | What is 18% of 342? | 61.56 | Calculate 18/100 * 342 = 0.18*342 = 61.56. | percentages |
5,835 | arithmetic | easy | What is 27 + 818? | 845 | Add the two numbers: 27 + 818 = 845. | basic_operations |
5,836 | arithmetic | easy | What is 195 + 771? | 966 | Add the two numbers: 195 + 771 = 966. | basic_operations |
5,837 | algebra | medium | Solve for x: x^2 + 13x + 40 = 0 | x = -5, -8 | Factor: (x - -5)(x - -8) = x^2 -(-13)x + 40 = 0. So x = -5 or -8. Check sum = -13, product = 40. | quadratic |
5,838 | arithmetic | easy | What is 7783 divided by 28? Give answer to 2 decimal places. | 277.96 | Calculate 7783/ 28 = 277.9643, rounded to 2 decimals is 277.96. | division |
5,839 | arithmetic | easy | What is 762 + 522? | 1284 | Add the two numbers: 762 + 522 = 1284. | basic_operations |
5,840 | statistics | easy | What is the mean (average) of 24, 16, 4? | 14.67 | Mean = sum/count. Sum = 24+16+4=44. Count=3. Mean=44/3=14.67. | mean |
5,841 | geometry | easy | Find the area of a circle with radius 46. Use pi=3.14159, round to 2 decimals. | 6647.61 | Area = pi*r^2 = 3.14159*46^2 = 3.14159*2116 = 6647.61. | circle_area |
5,842 | geometry | easy | Find the circumference of a circle with radius 8. Use pi=3.14159, round to 2 decimals. | 50.27 | Circumference = 2*pi*r = 2*3.14159*8 = 50.27. | circle_circum |
5,843 | statistics | easy | What is the mean (average) of 73, 22, 71? | 55.33 | Mean = sum/count. Sum = 73+22+71=166. Count=3. Mean=166/3=55.33. | mean |
5,844 | arithmetic | easy | What is 855 + 486 * 1? Remember order of operations. | 1341 | Order of operations (PEMDAS): first 486*1=486, then 855+486=1341. | basic_operations |
5,845 | percentages | easy | What is 53% of 56? | 29.68 | Calculate 53/100 * 56 = 0.53*56 = 29.68. | percentages |
5,846 | algebra | easy | Solve for x: 8x + 47 = 39 | -1 | Subtract 47 from both sides: 8x = 39-47=-8. Then divide by 8: x = -8/8 = -1. | linear_equation |
5,847 | exponents | easy | What is 4^3? | 64 | 4^3 means multiply 4 by itself 3 times: 4*4*4 = 64. | exponents |
5,848 | number_theory | medium | What is the LCM (least common multiple) of 19 and 12? | 228 | LCM = |19*12| / GCD(19,12). GCD=1, so LCM=228/1=228. | lcm |
5,849 | arithmetic | easy | What is 148 + 351? | 499 | Add the two numbers: 148 + 351 = 499. | basic_operations |
5,850 | geometry | easy | Find the area of a rectangle with length 19 and width 94. | 1786 | Area = length * width = 19*94 = 1786. | rectangle_area |
5,851 | arithmetic | easy | What is 58 * 61? | 3538 | Multiply: 58 * 61 = 3538. | basic_operations |
5,852 | 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 |
5,853 | fractions | medium | What is 6/15 + 12/12? Give as simplified fraction. | 7/5 | Common denominator 15*12=180. 6/15=72/180, 12/12=180/180. Sum = 252/180 = 7/5 simplified. | fraction_operations |
5,854 | percentages | easy | What is 17% of 482? | 81.94 | Calculate 17/100 * 482 = 0.17*482 = 81.94. | percentages |
5,855 | 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 |
5,856 | word_problems | easy | If you have 82 pencils and you buy 20 more pencils, how many pencils do you have in total? | 102 | Add initial 82 plus bought 20: 82+20=102. | addition_word |
5,857 | arithmetic | easy | What is 994 + 994 * 87? Remember order of operations. | 87472 | Order of operations (PEMDAS): first 994*87=86478, then 994+86478=87472. | basic_operations |
5,858 | number_theory | medium | What is the LCM (least common multiple) of 89 and 46? | 4094 | LCM = |89*46| / GCD(89,46). GCD=1, so LCM=4094/1=4094. | lcm |
5,859 | arithmetic | easy | What is 950 / 50? | 19 | Divide: 950 ÷ 50 = 19 because 50*19=950. | division |
5,860 | arithmetic | easy | What is 25650 / 75? | 342 | Divide: 25650 ÷ 75 = 342 because 75*342=25650. | division |
5,861 | arithmetic | easy | What is 52 * 97? | 5044 | Multiply: 52 * 97 = 5044. | basic_operations |
5,862 | 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 |
5,863 | statistics | easy | What is the mean (average) of 55, 66, 87, 54, 17? | 55.8 | Mean = sum/count. Sum = 55+66+87+54+17=279. Count=5. Mean=279/5=55.8. | mean |
5,864 | fractions | medium | What is 15/14 * 2/2? Give as simplified fraction. | 15/14 | Multiply numerators: 15*2=30. Denominators: 14*2=28. Simplify by gcd 2 to get 15/14. | fraction_operations |
5,865 | geometry | easy | Find the area of a circle with radius 30. Use pi=3.14159, round to 2 decimals. | 2827.43 | Area = pi*r^2 = 3.14159*30^2 = 3.14159*900 = 2827.43. | circle_area |
5,866 | geometry | easy | Find the area of a rectangle with length 66 and width 96. | 6336 | Area = length * width = 66*96 = 6336. | rectangle_area |
5,867 | percentages | easy | What is 57% of 841? | 479.37 | Calculate 57/100 * 841 = 0.57*841 = 479.37. | percentages |
5,868 | arithmetic | easy | What is 579 + 113? | 692 | Add the two numbers: 579 + 113 = 692. | basic_operations |
5,869 | algebra | easy | Solve for x: 3x + 5 = 2 | -1 | Subtract 5 from both sides: 3x = 2-5=-3. Then divide by 3: x = -3/3 = -1. | linear_equation |
5,870 | arithmetic | easy | What is 93 * 98? | 9114 | Multiply: 93 * 98 = 9114. | basic_operations |
5,871 | fractions | medium | What is 13/6 + 7/12? Give as simplified fraction. | 11/4 | Common denominator 6*12=72. 13/6=156/72, 7/12=42/72. Sum = 198/72 = 11/4 simplified. | fraction_operations |
5,872 | geometry | easy | Find the area of a triangle with base 35 and height 66. | 1155 | Area = 0.5*base*height = 0.5*35*66 = 1155. | triangle_area |
5,873 | 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 |
5,874 | word_problems | easy | If you have 10 books and you buy 33 more books, how many books do you have in total? | 43 | Add initial 10 plus bought 33: 10+33=43. | addition_word |
5,875 | arithmetic | easy | What is 8837 divided by 30? Give answer to 2 decimal places. | 294.57 | Calculate 8837/ 30 = 294.5667, rounded to 2 decimals is 294.57. | division |
5,876 | roots | easy | What is the square root of 324? | 18 | Find number that when squared gives 324. 18*18=324, so sqrt(324)=18. | square_roots |
5,877 | 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 |
5,878 | algebra | easy | Solve for x: 1x - 29 = -45 | -16 | Add 29 to both sides: 1x = -45+29=-16. Then x = -16/1 = -16. | linear_equation |
5,879 | algebra | medium | Solve for x: x^2 - 1x - 20 = 0 | x = -4, 5 | Factor: (x - -4)(x - 5) = x^2 -(1)x + -20 = 0. So x = -4 or 5. Check sum = 1, product = -20. | quadratic |
5,880 | algebra | easy | Solve for x: 1x - 5 = -4 | 1 | Add 5 to both sides: 1x = -4+5=1. Then x = 1/1 = 1. | linear_equation |
5,881 | arithmetic | easy | What is 900 + 214 * 98? Remember order of operations. | 21872 | Order of operations (PEMDAS): first 214*98=20972, then 900+20972=21872. | basic_operations |
5,882 | arithmetic | easy | What is 562 + 19 * 67? Remember order of operations. | 1835 | Order of operations (PEMDAS): first 19*67=1273, then 562+1273=1835. | basic_operations |
5,883 | exponents | easy | What is 8^5? | 32768 | 8^5 means multiply 8 by itself 5 times: 8*8*8*8*8 = 32768. | exponents |
5,884 | percentages | easy | What is 76% of 114? | 86.64 | Calculate 76/100 * 114 = 0.76*114 = 86.64. | percentages |
5,885 | arithmetic | easy | What is 99 * 100? | 9900 | Multiply: 99 * 100 = 9900. | basic_operations |
5,886 | arithmetic | easy | What is 259 - 125? | 134 | Subtract: 259 - 125 = 134. | basic_operations |
5,887 | arithmetic | easy | What is 978 - 594? | 384 | Subtract: 978 - 594 = 384. | basic_operations |
5,888 | algebra | easy | Solve for x: 8x - 33 = 55 | 11 | Add 33 to both sides: 8x = 55+33=88. Then x = 88/8 = 11. | linear_equation |
5,889 | fractions | medium | What is 15/20 * 18/20? Give as simplified fraction. | 27/40 | Multiply numerators: 15*18=270. Denominators: 20*20=400. Simplify by gcd 10 to get 27/40. | fraction_operations |
5,890 | word_problems | easy | If you have 99 pencils and you buy 46 more pencils, how many pencils do you have in total? | 145 | Add initial 99 plus bought 46: 99+46=145. | addition_word |
5,891 | arithmetic | easy | What is 44 * 39? | 1716 | Multiply: 44 * 39 = 1716. | basic_operations |
5,892 | arithmetic | easy | What is 966 - 876? | 90 | Subtract: 966 - 876 = 90. | basic_operations |
5,893 | geometry | easy | Find the circumference of a circle with radius 16. Use pi=3.14159, round to 2 decimals. | 100.53 | Circumference = 2*pi*r = 2*3.14159*16 = 100.53. | circle_circum |
5,894 | arithmetic | easy | What is 66 * 36? | 2376 | Multiply: 66 * 36 = 2376. | basic_operations |
5,895 | percentages | easy | What is 56% of 122? | 68.32 | Calculate 56/100 * 122 = 0.56*122 = 68.32. | percentages |
5,896 | arithmetic | easy | What is 40264 divided by 94? Give answer to 2 decimal places. | 428.34 | Calculate 40264/ 94 = 428.3404, rounded to 2 decimals is 428.34. | division |
5,897 | arithmetic | easy | What is 952 + 99? | 1051 | Add the two numbers: 952 + 99 = 1051. | basic_operations |
5,898 | number_theory | medium | What is the LCM (least common multiple) of 89 and 34? | 3026 | LCM = |89*34| / GCD(89,34). GCD=1, so LCM=3026/1=3026. | lcm |
5,899 | algebra | easy | Solve for x: 19x - 11 = -220 | -11 | Add 11 to both sides: 19x = -220+11=-209. Then x = -209/19 = -11. | linear_equation |
5,900 | arithmetic | easy | What is 2 * 9? | 18 | Multiply: 2 * 9 = 18. | basic_operations |
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