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 |
|---|---|---|---|---|---|---|
10,801 | calculus | medium | What is the derivative of 8x^7 with respect to x? | 56x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^7] = 8*7*x^6 = 56x^6. | derivative |
10,802 | exponents | easy | What is 7^5? | 16807 | 7^5 means multiply 7 by itself 5 times: 7*7*7*7*7 = 16807. | exponents |
10,803 | percentages | easy | What is 19% of 931? | 176.89 | Calculate 19/100 * 931 = 0.19*931 = 176.89. | percentages |
10,804 | arithmetic | easy | What is 441 + 358? | 799 | Add the two numbers: 441 + 358 = 799. | basic_operations |
10,805 | geometry | easy | Find the perimeter of a rectangle with length 28 and width 100. | 256 | Perimeter = 2*(length+width) = 2*(28+100) = 2*128 = 256. | rectangle_perim |
10,806 | fractions | medium | What is 12/10 - 9/2? Give as simplified fraction. | -33/10 | Common denominator 20. Numerator 24-90=-66. So -66/20 simplifies to -33/10. | fraction_operations |
10,807 | arithmetic | easy | What is 820 + 70? | 890 | Add the two numbers: 820 + 70 = 890. | basic_operations |
10,808 | 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 |
10,809 | number_theory | medium | What is the GCD (greatest common divisor) of 4 and 22? | 2 | Find greatest number dividing both 4 and 22. Divisors common, greatest is 2. | gcd |
10,810 | arithmetic | easy | What is 355 + 655? | 1010 | Add the two numbers: 355 + 655 = 1010. | basic_operations |
10,811 | 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 |
10,812 | arithmetic | easy | What is 9418 / 34? | 277 | Divide: 9418 ÷ 34 = 277 because 34*277=9418. | division |
10,813 | percentages | easy | What is 85% of 204? | 173.4 | Calculate 85/100 * 204 = 0.85*204 = 173.4. | percentages |
10,814 | arithmetic | easy | What is 25480 / 65? | 392 | Divide: 25480 ÷ 65 = 392 because 65*392=25480. | division |
10,815 | word_problems | easy | If you have 78 dollars and you buy 49 more dollars, how many dollars do you have in total? | 127 | Add initial 78 plus bought 49: 78+49=127. | addition_word |
10,816 | number_theory | medium | What is the GCD (greatest common divisor) of 33 and 95? | 1 | Find greatest number dividing both 33 and 95. Divisors common, greatest is 1. | gcd |
10,817 | algebra | medium | Solve for x: x^2 - 15x + 56 = 0 | x = 8, 7 | Factor: (x - 8)(x - 7) = x^2 -(15)x + 56 = 0. So x = 8 or 7. Check sum = 15, product = 56. | quadratic |
10,818 | 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 |
10,819 | algebra | medium | Solve for x: x^2 + 15x + 50 = 0 | x = -5, -10 | Factor: (x - -5)(x - -10) = x^2 -(-15)x + 50 = 0. So x = -5 or -10. Check sum = -15, product = 50. | quadratic |
10,820 | algebra | medium | Solve for x: x^2 - 13x + 42 = 0 | x = 6, 7 | Factor: (x - 6)(x - 7) = x^2 -(13)x + 42 = 0. So x = 6 or 7. Check sum = 13, product = 42. | quadratic |
10,821 | arithmetic | easy | What is 366 + 806 * 84? Remember order of operations. | 68070 | Order of operations (PEMDAS): first 806*84=67704, then 366+67704=68070. | basic_operations |
10,822 | number_theory | medium | What is the LCM (least common multiple) of 18 and 15? | 90 | LCM = |18*15| / GCD(18,15). GCD=3, so LCM=270/3=90. | lcm |
10,823 | 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 |
10,824 | arithmetic | easy | What is 4728 divided by 22? Give answer to 2 decimal places. | 214.91 | Calculate 4728/ 22 = 214.9091, rounded to 2 decimals is 214.91. | division |
10,825 | algebra | medium | Solve for x: x^2 + 9x = 0 | x = 0, -9 | Factor: (x - 0)(x - -9) = x^2 -(-9)x + 0 = 0. So x = 0 or -9. Check sum = -9, product = 0. | quadratic |
10,826 | roots | easy | What is the square root of 2401? | 49 | Find number that when squared gives 2401. 49*49=2401, so sqrt(2401)=49. | square_roots |
10,827 | arithmetic | easy | What is 18 * 36? | 648 | Multiply: 18 * 36 = 648. | basic_operations |
10,828 | arithmetic | easy | What is 909 + 238 * 77? Remember order of operations. | 19235 | Order of operations (PEMDAS): first 238*77=18326, then 909+18326=19235. | basic_operations |
10,829 | percentages | easy | What is 89% of 769? | 684.41 | Calculate 89/100 * 769 = 0.89*769 = 684.41. | percentages |
10,830 | algebra | medium | Solve for x: x^2 + 8x - 9 = 0 | x = 1, -9 | Factor: (x - 1)(x - -9) = x^2 -(-8)x + -9 = 0. So x = 1 or -9. Check sum = -8, product = -9. | quadratic |
10,831 | algebra | medium | Solve for x: x^2 - 3x - 10 = 0 | x = 5, -2 | Factor: (x - 5)(x - -2) = x^2 -(3)x + -10 = 0. So x = 5 or -2. Check sum = 3, product = -10. | quadratic |
10,832 | calculus | medium | What is the derivative of 3x^8 with respect to x? | 24x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^8] = 3*8*x^7 = 24x^7. | derivative |
10,833 | percentages | easy | What is 72% of 236? | 169.92 | Calculate 72/100 * 236 = 0.72*236 = 169.92. | percentages |
10,834 | exponents | easy | What is 6^2? | 36 | 6^2 means multiply 6 by itself 2 times: 6*6 = 36. | exponents |
10,835 | percentages | easy | What is 62% of 658? | 407.96 | Calculate 62/100 * 658 = 0.62*658 = 407.96. | percentages |
10,836 | calculus | medium | What is the derivative of 5x^4 with respect to x? | 20x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^4] = 5*4*x^3 = 20x^3. | derivative |
10,837 | fractions | medium | What is 20/20 + 19/10? Give as simplified fraction. | 29/10 | Common denominator 20*10=200. 20/20=200/200, 19/10=380/200. Sum = 580/200 = 29/10 simplified. | fraction_operations |
10,838 | number_theory | medium | What is the GCD (greatest common divisor) of 95 and 68? | 1 | Find greatest number dividing both 95 and 68. Divisors common, greatest is 1. | gcd |
10,839 | fractions | medium | What is 8/2 * 17/15? Give as simplified fraction. | 68/15 | Multiply numerators: 8*17=136. Denominators: 2*15=30. Simplify by gcd 2 to get 68/15. | fraction_operations |
10,840 | geometry | easy | Find the area of a rectangle with length 37 and width 72. | 2664 | Area = length * width = 37*72 = 2664. | rectangle_area |
10,841 | 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 |
10,842 | percentages | easy | What is 17% of 605? | 102.85 | Calculate 17/100 * 605 = 0.17*605 = 102.85. | percentages |
10,843 | arithmetic | easy | What is 528 - 327? | 201 | Subtract: 528 - 327 = 201. | basic_operations |
10,844 | geometry | easy | Find the area of a triangle with base 64 and height 85. | 2720 | Area = 0.5*base*height = 0.5*64*85 = 2720. | triangle_area |
10,845 | arithmetic | easy | What is 13200 / 44? | 300 | Divide: 13200 ÷ 44 = 300 because 44*300=13200. | division |
10,846 | arithmetic | easy | What is 4773 divided by 73? Give answer to 2 decimal places. | 65.38 | Calculate 4773/ 73 = 65.3836, rounded to 2 decimals is 65.38. | division |
10,847 | statistics | easy | What is the mean (average) of 14, 8, 79? | 33.67 | Mean = sum/count. Sum = 14+8+79=101. Count=3. Mean=101/3=33.67. | mean |
10,848 | arithmetic | easy | What is 495 - 260? | 235 | Subtract: 495 - 260 = 235. | basic_operations |
10,849 | percentages | easy | What is 73% of 110? | 80.3 | Calculate 73/100 * 110 = 0.73*110 = 80.3. | percentages |
10,850 | arithmetic | easy | What is 483 - 128? | 355 | Subtract: 483 - 128 = 355. | basic_operations |
10,851 | arithmetic | easy | What is 206 - 31? | 175 | Subtract: 206 - 31 = 175. | basic_operations |
10,852 | geometry | easy | Find the area of a triangle with base 51 and height 43. | 1096.5 | Area = 0.5*base*height = 0.5*51*43 = 1096.5. | triangle_area |
10,853 | statistics | easy | What is the mean (average) of 62, 38, 100? | 66.67 | Mean = sum/count. Sum = 62+38+100=200. Count=3. Mean=200/3=66.67. | mean |
10,854 | geometry | easy | Find the area of a triangle with base 49 and height 52. | 1274 | Area = 0.5*base*height = 0.5*49*52 = 1274. | triangle_area |
10,855 | calculus | medium | What is the derivative of 8x^2 with respect to x? | 16x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^2] = 8*2*x^1 = 16x. | derivative |
10,856 | algebra | easy | Solve for x: 8x + 0 = 32 | 4 | Subtract 0 from both sides: 8x = 32-0=32. Then divide by 8: x = 32/8 = 4. | linear_equation |
10,857 | arithmetic | easy | What is 786 + 300 * 61? Remember order of operations. | 19086 | Order of operations (PEMDAS): first 300*61=18300, then 786+18300=19086. | basic_operations |
10,858 | arithmetic | easy | What is 572 + 109 * 70? Remember order of operations. | 8202 | Order of operations (PEMDAS): first 109*70=7630, then 572+7630=8202. | basic_operations |
10,859 | fractions | medium | What is 17/6 * 12/6? Give as simplified fraction. | 17/3 | Multiply numerators: 17*12=204. Denominators: 6*6=36. Simplify by gcd 12 to get 17/3. | fraction_operations |
10,860 | exponents | easy | What is 2^4? | 16 | 2^4 means multiply 2 by itself 4 times: 2*2*2*2 = 16. | exponents |
10,861 | fractions | medium | What is 19/9 - 12/5? Give as simplified fraction. | -13/45 | Common denominator 45. Numerator 95-108=-13. So -13/45 simplifies to -13/45. | fraction_operations |
10,862 | arithmetic | easy | What is 43 * 62? | 2666 | Multiply: 43 * 62 = 2666. | basic_operations |
10,863 | number_theory | medium | What is the LCM (least common multiple) of 17 and 89? | 1513 | LCM = |17*89| / GCD(17,89). GCD=1, so LCM=1513/1=1513. | lcm |
10,864 | 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 |
10,865 | exponents | easy | What is 10^2? | 100 | 10^2 means multiply 10 by itself 2 times: 10*10 = 100. | exponents |
10,866 | fractions | medium | What is 4/15 - 7/14? Give as simplified fraction. | -7/30 | Common denominator 210. Numerator 56-105=-49. So -49/210 simplifies to -7/30. | fraction_operations |
10,867 | arithmetic | easy | What is 471 - 323? | 148 | Subtract: 471 - 323 = 148. | basic_operations |
10,868 | arithmetic | easy | What is 347 - 255? | 92 | Subtract: 347 - 255 = 92. | basic_operations |
10,869 | geometry | easy | Find the perimeter of a rectangle with length 79 and width 66. | 290 | Perimeter = 2*(length+width) = 2*(79+66) = 2*145 = 290. | rectangle_perim |
10,870 | percentages | easy | What is 97% of 628? | 609.16 | Calculate 97/100 * 628 = 0.97*628 = 609.16. | percentages |
10,871 | percentages | easy | What is 2% of 215? | 4.3 | Calculate 2/100 * 215 = 0.02*215 = 4.3. | percentages |
10,872 | number_theory | medium | What is the LCM (least common multiple) of 31 and 77? | 2387 | LCM = |31*77| / GCD(31,77). GCD=1, so LCM=2387/1=2387. | lcm |
10,873 | algebra | easy | Solve for x: 13x - 45 = 124 | 13 | Add 45 to both sides: 13x = 124+45=169. Then x = 169/13 = 13. | linear_equation |
10,874 | number_theory | medium | What is the LCM (least common multiple) of 25 and 24? | 600 | LCM = |25*24| / GCD(25,24). GCD=1, so LCM=600/1=600. | lcm |
10,875 | percentages | easy | What is 38% of 722? | 274.36 | Calculate 38/100 * 722 = 0.38*722 = 274.36. | percentages |
10,876 | arithmetic | easy | What is 78 * 63? | 4914 | Multiply: 78 * 63 = 4914. | basic_operations |
10,877 | exponents | easy | What is 9^4? | 6561 | 9^4 means multiply 9 by itself 4 times: 9*9*9*9 = 6561. | exponents |
10,878 | geometry | easy | Find the circumference of a circle with radius 13. Use pi=3.14159, round to 2 decimals. | 81.68 | Circumference = 2*pi*r = 2*3.14159*13 = 81.68. | circle_circum |
10,879 | word_problems | easy | If you have 64 dollars and you buy 3 more dollars, how many dollars do you have in total? | 67 | Add initial 64 plus bought 3: 64+3=67. | addition_word |
10,880 | arithmetic | easy | What is 9 * 78? | 702 | Multiply: 9 * 78 = 702. | basic_operations |
10,881 | calculus | medium | What is the derivative of 6x^8 with respect to x? | 48x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^8] = 6*8*x^7 = 48x^7. | derivative |
10,882 | statistics | easy | What is the mean (average) of 30, 79, 50, 13? | 43 | Mean = sum/count. Sum = 30+79+50+13=172. Count=4. Mean=172/4=43.0. | mean |
10,883 | arithmetic | easy | What is 33 * 3? | 99 | Multiply: 33 * 3 = 99. | basic_operations |
10,884 | fractions | medium | What is 13/19 + 19/5? Give as simplified fraction. | 426/95 | Common denominator 19*5=95. 13/19=65/95, 19/5=361/95. Sum = 426/95 = 426/95 simplified. | fraction_operations |
10,885 | arithmetic | easy | What is 87 * 64? | 5568 | Multiply: 87 * 64 = 5568. | basic_operations |
10,886 | 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 |
10,887 | geometry | easy | Find the perimeter of a rectangle with length 5 and width 61. | 132 | Perimeter = 2*(length+width) = 2*(5+61) = 2*66 = 132. | rectangle_perim |
10,888 | algebra | medium | Solve for x: x^2 + 1x - 42 = 0 | x = -7, 6 | Factor: (x - -7)(x - 6) = x^2 -(-1)x + -42 = 0. So x = -7 or 6. Check sum = -1, product = -42. | quadratic |
10,889 | word_problems | easy | If you have 89 apples and you buy 30 more apples, how many apples do you have in total? | 119 | Add initial 89 plus bought 30: 89+30=119. | addition_word |
10,890 | 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 |
10,891 | arithmetic | easy | What is 8397 divided by 51? Give answer to 2 decimal places. | 164.65 | Calculate 8397/ 51 = 164.6471, rounded to 2 decimals is 164.65. | division |
10,892 | algebra | medium | Solve for x: x^2 - 9 = 0 | x = -3, 3 | Factor: (x - -3)(x - 3) = x^2 -(0)x + -9 = 0. So x = -3 or 3. Check sum = 0, product = -9. | quadratic |
10,893 | percentages | easy | What is 40% of 782? | 312.8 | Calculate 40/100 * 782 = 0.4*782 = 312.8. | percentages |
10,894 | arithmetic | easy | What is 43 * 57? | 2451 | Multiply: 43 * 57 = 2451. | basic_operations |
10,895 | 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 |
10,896 | arithmetic | easy | What is 3971 divided by 20? Give answer to 2 decimal places. | 198.55 | Calculate 3971/ 20 = 198.5500, rounded to 2 decimals is 198.55. | division |
10,897 | algebra | medium | Solve for x: x^2 + 1x - 56 = 0 | x = 7, -8 | Factor: (x - 7)(x - -8) = x^2 -(-1)x + -56 = 0. So x = 7 or -8. Check sum = -1, product = -56. | quadratic |
10,898 | algebra | easy | Solve for x: 19x - 35 = -225 | -10 | Add 35 to both sides: 19x = -225+35=-190. Then x = -190/19 = -10. | linear_equation |
10,899 | statistics | easy | What is the mean (average) of 80, 83, 69, 66, 47? | 69 | Mean = sum/count. Sum = 80+83+69+66+47=345. Count=5. Mean=345/5=69.0. | mean |
10,900 | algebra | medium | Solve for x: x^2 - 6x - 16 = 0 | x = -2, 8 | Factor: (x - -2)(x - 8) = x^2 -(6)x + -16 = 0. So x = -2 or 8. Check sum = 6, product = -16. | quadratic |
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