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 |
|---|---|---|---|---|---|---|
801 | exponents | easy | What is 4^5? | 1024 | 4^5 means multiply 4 by itself 5 times: 4*4*4*4*4 = 1024. | exponents |
802 | algebra | easy | Solve for x: 5x - 42 = 23 | 13 | Add 42 to both sides: 5x = 23+42=65. Then x = 65/5 = 13. | linear_equation |
803 | arithmetic | easy | What is 666 - 625? | 41 | Subtract: 666 - 625 = 41. | basic_operations |
804 | fractions | medium | What is 5/15 + 20/16? Give as simplified fraction. | 19/12 | Common denominator 15*16=240. 5/15=80/240, 20/16=300/240. Sum = 380/240 = 19/12 simplified. | fraction_operations |
805 | arithmetic | easy | What is 919 + 103? | 1022 | Add the two numbers: 919 + 103 = 1022. | basic_operations |
806 | calculus | medium | What is the derivative of 7x^4 with respect to x? | 28x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^4] = 7*4*x^3 = 28x^3. | derivative |
807 | 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 |
808 | percentages | easy | What is 36% of 661? | 237.96 | Calculate 36/100 * 661 = 0.36*661 = 237.96. | percentages |
809 | arithmetic | easy | What is 93 + 78 * 77? Remember order of operations. | 6099 | Order of operations (PEMDAS): first 78*77=6006, then 93+6006=6099. | basic_operations |
810 | arithmetic | easy | What is 869 + 868 * 85? Remember order of operations. | 74649 | Order of operations (PEMDAS): first 868*85=73780, then 869+73780=74649. | basic_operations |
811 | fractions | medium | What is 13/11 - 2/9? Give as simplified fraction. | 95/99 | Common denominator 99. Numerator 117-22=95. So 95/99 simplifies to 95/99. | fraction_operations |
812 | calculus | medium | What is the derivative of 4x^2 with respect to x? | 8x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^2] = 4*2*x^1 = 8x. | derivative |
813 | statistics | easy | What is the mean (average) of 77, 10, 68, 2, 47? | 40.8 | Mean = sum/count. Sum = 77+10+68+2+47=204. Count=5. Mean=204/5=40.8. | mean |
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 |
815 | calculus | medium | What is the derivative of 10x^8 with respect to x? | 80x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^8] = 10*8*x^7 = 80x^7. | derivative |
816 | 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 |
817 | algebra | medium | Solve for x: x^2 + 3x - 40 = 0 | x = 5, -8 | Factor: (x - 5)(x - -8) = x^2 -(-3)x + -40 = 0. So x = 5 or -8. Check sum = -3, product = -40. | quadratic |
818 | arithmetic | easy | What is 602 + 70 * 2? Remember order of operations. | 742 | Order of operations (PEMDAS): first 70*2=140, then 602+140=742. | basic_operations |
819 | arithmetic | easy | What is 37 * 81? | 2997 | Multiply: 37 * 81 = 2997. | basic_operations |
820 | 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 |
821 | calculus | medium | What is the derivative of 9x^2 with respect to x? | 18x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^2] = 9*2*x^1 = 18x. | derivative |
822 | algebra | easy | Solve for x: 9x - 40 = -49 | -1 | Add 40 to both sides: 9x = -49+40=-9. Then x = -9/9 = -1. | linear_equation |
823 | arithmetic | easy | What is 524 + 944? | 1468 | Add the two numbers: 524 + 944 = 1468. | basic_operations |
824 | calculus | medium | What is the derivative of 2x^6 with respect to x? | 12x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^6] = 2*6*x^5 = 12x^5. | derivative |
825 | exponents | easy | What is 8^3? | 512 | 8^3 means multiply 8 by itself 3 times: 8*8*8 = 512. | exponents |
826 | arithmetic | easy | What is 251 + 89? | 340 | Add the two numbers: 251 + 89 = 340. | basic_operations |
827 | arithmetic | easy | What is 95 + 23 * 95? Remember order of operations. | 2280 | Order of operations (PEMDAS): first 23*95=2185, then 95+2185=2280. | basic_operations |
828 | algebra | easy | Solve for x: 1x - 30 = -19 | 11 | Add 30 to both sides: 1x = -19+30=11. Then x = 11/1 = 11. | linear_equation |
829 | number_theory | medium | What is the LCM (least common multiple) of 67 and 67? | 67 | LCM = |67*67| / GCD(67,67). GCD=67, so LCM=4489/67=67. | lcm |
830 | algebra | medium | Solve for x: x^2 + 5x - 6 = 0 | x = 1, -6 | Factor: (x - 1)(x - -6) = x^2 -(-5)x + -6 = 0. So x = 1 or -6. Check sum = -5, product = -6. | quadratic |
831 | geometry | easy | Find the area of a rectangle with length 99 and width 4. | 396 | Area = length * width = 99*4 = 396. | rectangle_area |
832 | 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 |
833 | geometry | easy | Find the area of a triangle with base 9 and height 34. | 153 | Area = 0.5*base*height = 0.5*9*34 = 153. | triangle_area |
834 | arithmetic | easy | What is 509 + 467 * 66? Remember order of operations. | 31331 | Order of operations (PEMDAS): first 467*66=30822, then 509+30822=31331. | basic_operations |
835 | algebra | medium | Solve for x: x^2 + 4x - 5 = 0 | x = 1, -5 | Factor: (x - 1)(x - -5) = x^2 -(-4)x + -5 = 0. So x = 1 or -5. Check sum = -4, product = -5. | quadratic |
836 | geometry | easy | Find the area of a rectangle with length 74 and width 87. | 6438 | Area = length * width = 74*87 = 6438. | rectangle_area |
837 | arithmetic | easy | What is 11780 / 31? | 380 | Divide: 11780 ÷ 31 = 380 because 31*380=11780. | division |
838 | arithmetic | easy | What is 880 + 884 * 2? Remember order of operations. | 2648 | Order of operations (PEMDAS): first 884*2=1768, then 880+1768=2648. | basic_operations |
839 | number_theory | medium | What is the GCD (greatest common divisor) of 50 and 20? | 10 | Find greatest number dividing both 50 and 20. Divisors common, greatest is 10. | gcd |
840 | arithmetic | easy | What is 84 + 54 * 92? Remember order of operations. | 5052 | Order of operations (PEMDAS): first 54*92=4968, then 84+4968=5052. | basic_operations |
841 | percentages | easy | What is 54% of 938? | 506.52 | Calculate 54/100 * 938 = 0.54*938 = 506.52. | percentages |
842 | 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 |
843 | arithmetic | easy | What is 87 + 7 * 16? Remember order of operations. | 199 | Order of operations (PEMDAS): first 7*16=112, then 87+112=199. | basic_operations |
844 | arithmetic | easy | What is 977 - 411? | 566 | Subtract: 977 - 411 = 566. | basic_operations |
845 | exponents | easy | What is 7^2? | 49 | 7^2 means multiply 7 by itself 2 times: 7*7 = 49. | exponents |
846 | word_problems | easy | If you have 6 books and you buy 24 more books, how many books do you have in total? | 30 | Add initial 6 plus bought 24: 6+24=30. | addition_word |
847 | exponents | easy | What is 11^4? | 14641 | 11^4 means multiply 11 by itself 4 times: 11*11*11*11 = 14641. | exponents |
848 | percentages | easy | What is 60% of 378? | 226.8 | Calculate 60/100 * 378 = 0.6*378 = 226.8. | percentages |
849 | statistics | easy | What is the mean (average) of 94, 70, 98? | 87.33 | Mean = sum/count. Sum = 94+70+98=262. Count=3. Mean=262/3=87.33. | mean |
850 | percentages | easy | What is 20% of 7? | 1.4 | Calculate 20/100 * 7 = 0.2*7 = 1.4. | percentages |
851 | 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 |
852 | percentages | easy | What is 70% of 355? | 248.5 | Calculate 70/100 * 355 = 0.7*355 = 248.5. | percentages |
853 | arithmetic | easy | What is 49 * 95? | 4655 | Multiply: 49 * 95 = 4655. | basic_operations |
854 | arithmetic | easy | What is 7624 divided by 28? Give answer to 2 decimal places. | 272.29 | Calculate 7624/ 28 = 272.2857, rounded to 2 decimals is 272.29. | division |
855 | statistics | easy | What is the mean (average) of 19, 92, 36? | 49 | Mean = sum/count. Sum = 19+92+36=147. Count=3. Mean=147/3=49.0. | mean |
856 | arithmetic | easy | What is 53 * 90? | 4770 | Multiply: 53 * 90 = 4770. | basic_operations |
857 | word_problems | easy | If you have 100 pencils and you buy 6 more pencils, how many pencils do you have in total? | 106 | Add initial 100 plus bought 6: 100+6=106. | addition_word |
858 | arithmetic | easy | What is 4554 / 66? | 69 | Divide: 4554 ÷ 66 = 69 because 66*69=4554. | division |
859 | arithmetic | easy | What is 446 + 679 * 17? Remember order of operations. | 11989 | Order of operations (PEMDAS): first 679*17=11543, then 446+11543=11989. | basic_operations |
860 | roots | easy | What is the square root of 676? | 26 | Find number that when squared gives 676. 26*26=676, so sqrt(676)=26. | square_roots |
861 | roots | easy | What is the square root of 441? | 21 | Find number that when squared gives 441. 21*21=441, so sqrt(441)=21. | square_roots |
862 | word_problems | easy | If you have 39 apples and you buy 15 more apples, how many apples do you have in total? | 54 | Add initial 39 plus bought 15: 39+15=54. | addition_word |
863 | fractions | medium | What is 5/20 + 4/6? Give as simplified fraction. | 11/12 | Common denominator 20*6=120. 5/20=30/120, 4/6=80/120. Sum = 110/120 = 11/12 simplified. | fraction_operations |
864 | algebra | medium | Solve for x: x^2 - 8x + 16 = 0 | x = 4 | Factor as (x - 4)^2 = 0, so root is 4 (double root). Sum of roots = 8, product = 16. | quadratic |
865 | roots | easy | What is the square root of 729? | 27 | Find number that when squared gives 729. 27*27=729, so sqrt(729)=27. | square_roots |
866 | arithmetic | easy | What is 12907 divided by 70? Give answer to 2 decimal places. | 184.39 | Calculate 12907/ 70 = 184.3857, rounded to 2 decimals is 184.39. | division |
867 | exponents | easy | What is 9^4? | 6561 | 9^4 means multiply 9 by itself 4 times: 9*9*9*9 = 6561. | exponents |
868 | arithmetic | easy | What is 1053 / 13? | 81 | Divide: 1053 ÷ 13 = 81 because 13*81=1053. | division |
869 | arithmetic | easy | What is 221 + 856 * 42? Remember order of operations. | 36173 | Order of operations (PEMDAS): first 856*42=35952, then 221+35952=36173. | basic_operations |
870 | percentages | easy | What is 46% of 406? | 186.76 | Calculate 46/100 * 406 = 0.46*406 = 186.76. | percentages |
871 | arithmetic | easy | What is 694 + 307 * 34? Remember order of operations. | 11132 | Order of operations (PEMDAS): first 307*34=10438, then 694+10438=11132. | basic_operations |
872 | calculus | medium | What is the derivative of 8x^8 with respect to x? | 64x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^8] = 8*8*x^7 = 64x^7. | derivative |
873 | percentages | easy | What is 13% of 474? | 61.62 | Calculate 13/100 * 474 = 0.13*474 = 61.62. | percentages |
874 | arithmetic | easy | What is 1197 / 19? | 63 | Divide: 1197 ÷ 19 = 63 because 19*63=1197. | division |
875 | percentages | easy | What is 17% of 203? | 34.51 | Calculate 17/100 * 203 = 0.17*203 = 34.51. | percentages |
876 | 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 |
877 | geometry | easy | Find the area of a rectangle with length 3 and width 9. | 27 | Area = length * width = 3*9 = 27. | rectangle_area |
878 | fractions | medium | What is 15/6 + 3/12? Give as simplified fraction. | 11/4 | Common denominator 6*12=72. 15/6=180/72, 3/12=18/72. Sum = 198/72 = 11/4 simplified. | fraction_operations |
879 | arithmetic | easy | What is 965 + 473? | 1438 | Add the two numbers: 965 + 473 = 1438. | basic_operations |
880 | 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 |
881 | calculus | medium | What is the derivative of 1x^5 with respect to x? | 5x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [1x^5] = 1*5*x^4 = 5x^4. | derivative |
882 | calculus | medium | What is the derivative of 7x^7 with respect to x? | 49x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^7] = 7*7*x^6 = 49x^6. | derivative |
883 | algebra | medium | Solve for x: x^2 + 3x - 4 = 0 | x = 1, -4 | Factor: (x - 1)(x - -4) = x^2 -(-3)x + -4 = 0. So x = 1 or -4. Check sum = -3, product = -4. | quadratic |
884 | algebra | medium | Solve for x: x^2 + 4x + 4 = 0 | x = -2 | Factor as (x - -2)^2 = 0, so root is -2 (double root). Sum of roots = -4, product = 4. | quadratic |
885 | word_problems | easy | If you have 24 pencils and you buy 3 more pencils, how many pencils do you have in total? | 27 | Add initial 24 plus bought 3: 24+3=27. | addition_word |
886 | percentages | easy | What is 83% of 303? | 251.49 | Calculate 83/100 * 303 = 0.83*303 = 251.49. | percentages |
887 | statistics | easy | What is the mean (average) of 71, 62, 8, 12? | 38.25 | Mean = sum/count. Sum = 71+62+8+12=153. Count=4. Mean=153/4=38.25. | mean |
888 | geometry | easy | Find the circumference of a circle with radius 9. Use pi=3.14159, round to 2 decimals. | 56.55 | Circumference = 2*pi*r = 2*3.14159*9 = 56.55. | circle_circum |
889 | 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 |
890 | percentages | easy | What is 81% of 822? | 665.82 | Calculate 81/100 * 822 = 0.81*822 = 665.82. | percentages |
891 | arithmetic | easy | What is 801 - 392? | 409 | Subtract: 801 - 392 = 409. | basic_operations |
892 | statistics | easy | What is the mean (average) of 73, 65, 42, 50? | 57.5 | Mean = sum/count. Sum = 73+65+42+50=230. Count=4. Mean=230/4=57.5. | mean |
893 | geometry | easy | Find the perimeter of a rectangle with length 4 and width 41. | 90 | Perimeter = 2*(length+width) = 2*(4+41) = 2*45 = 90. | rectangle_perim |
894 | percentages | easy | What is 4% of 918? | 36.72 | Calculate 4/100 * 918 = 0.04*918 = 36.72. | percentages |
895 | geometry | easy | Find the area of a rectangle with length 61 and width 68. | 4148 | Area = length * width = 61*68 = 4148. | rectangle_area |
896 | number_theory | medium | What is the GCD (greatest common divisor) of 99 and 75? | 3 | Find greatest number dividing both 99 and 75. Divisors common, greatest is 3. | gcd |
897 | algebra | medium | Solve for x: x^2 + 10x + 21 = 0 | x = -7, -3 | Factor: (x - -7)(x - -3) = x^2 -(-10)x + 21 = 0. So x = -7 or -3. Check sum = -10, product = 21. | quadratic |
898 | percentages | easy | What is 35% of 547? | 191.45 | Calculate 35/100 * 547 = 0.35*547 = 191.45. | percentages |
899 | arithmetic | easy | What is 50 * 46? | 2300 | Multiply: 50 * 46 = 2300. | basic_operations |
900 | algebra | medium | Solve for x: x^2 + 8x + 15 = 0 | x = -5, -3 | Factor: (x - -5)(x - -3) = x^2 -(-8)x + 15 = 0. So x = -5 or -3. Check sum = -8, product = 15. | quadratic |
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