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 |
|---|---|---|---|---|---|---|
701 | exponents | easy | What is 2^5? | 32 | 2^5 means multiply 2 by itself 5 times: 2*2*2*2*2 = 32. | exponents |
702 | roots | easy | What is the square root of 1600? | 40 | Find number that when squared gives 1600. 40*40=1600, so sqrt(1600)=40. | square_roots |
703 | 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 |
704 | word_problems | easy | If you have 47 pencils and you buy 28 more pencils, how many pencils do you have in total? | 75 | Add initial 47 plus bought 28: 47+28=75. | addition_word |
705 | algebra | easy | Solve for x: 10x - 9 = 171 | 18 | Add 9 to both sides: 10x = 171+9=180. Then x = 180/10 = 18. | linear_equation |
706 | fractions | medium | What is 16/12 - 6/14? Give as simplified fraction. | 19/21 | Common denominator 168. Numerator 224-72=152. So 152/168 simplifies to 19/21. | fraction_operations |
707 | exponents | easy | What is 12^5? | 248832 | 12^5 means multiply 12 by itself 5 times: 12*12*12*12*12 = 248832. | exponents |
708 | percentages | easy | What is 42% of 386? | 162.12 | Calculate 42/100 * 386 = 0.42*386 = 162.12. | percentages |
709 | geometry | easy | Find the circumference of a circle with radius 24. Use pi=3.14159, round to 2 decimals. | 150.8 | Circumference = 2*pi*r = 2*3.14159*24 = 150.8. | circle_circum |
710 | arithmetic | easy | What is 7622 / 74? | 103 | Divide: 7622 ÷ 74 = 103 because 74*103=7622. | division |
711 | arithmetic | easy | What is 27 * 57? | 1539 | Multiply: 27 * 57 = 1539. | basic_operations |
712 | arithmetic | easy | What is 64 * 18? | 1152 | Multiply: 64 * 18 = 1152. | basic_operations |
713 | percentages | easy | What is 33% of 675? | 222.75 | Calculate 33/100 * 675 = 0.33*675 = 222.75. | percentages |
714 | algebra | easy | Solve for x: 14x - 2 = -226 | -16 | Add 2 to both sides: 14x = -226+2=-224. Then x = -224/14 = -16. | linear_equation |
715 | word_problems | easy | If you have 81 pencils and you buy 31 more pencils, how many pencils do you have in total? | 112 | Add initial 81 plus bought 31: 81+31=112. | addition_word |
716 | 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 |
717 | 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 |
718 | arithmetic | easy | What is 69 * 77? | 5313 | Multiply: 69 * 77 = 5313. | basic_operations |
719 | arithmetic | easy | What is 86 + 46 * 32? Remember order of operations. | 1558 | Order of operations (PEMDAS): first 46*32=1472, then 86+1472=1558. | basic_operations |
720 | arithmetic | easy | What is 52 * 97? | 5044 | Multiply: 52 * 97 = 5044. | basic_operations |
721 | 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 |
722 | arithmetic | easy | What is 96 * 67? | 6432 | Multiply: 96 * 67 = 6432. | basic_operations |
723 | percentages | easy | What is 58% of 384? | 222.72 | Calculate 58/100 * 384 = 0.58*384 = 222.72. | percentages |
724 | 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 |
725 | algebra | easy | Solve for x: 12x - 47 = 73 | 10 | Add 47 to both sides: 12x = 73+47=120. Then x = 120/12 = 10. | linear_equation |
726 | arithmetic | easy | What is 8307 / 39? | 213 | Divide: 8307 ÷ 39 = 213 because 39*213=8307. | division |
727 | algebra | easy | Solve for x: 12x - 11 = 1 | 1 | Add 11 to both sides: 12x = 1+11=12. Then x = 12/12 = 1. | linear_equation |
728 | word_problems | easy | If you have 31 candies and you buy 34 more candies, how many candies do you have in total? | 65 | Add initial 31 plus bought 34: 31+34=65. | addition_word |
729 | number_theory | medium | What is the LCM (least common multiple) of 61 and 13? | 793 | LCM = |61*13| / GCD(61,13). GCD=1, so LCM=793/1=793. | lcm |
730 | word_problems | easy | If you have 45 dollars and you buy 5 more dollars, how many dollars do you have in total? | 50 | Add initial 45 plus bought 5: 45+5=50. | addition_word |
731 | arithmetic | easy | What is 830 + 728? | 1558 | Add the two numbers: 830 + 728 = 1558. | basic_operations |
732 | arithmetic | easy | What is 36080 / 88? | 410 | Divide: 36080 ÷ 88 = 410 because 88*410=36080. | division |
733 | algebra | medium | Solve for x: x^2 - 2x - 35 = 0 | x = 7, -5 | Factor: (x - 7)(x - -5) = x^2 -(2)x + -35 = 0. So x = 7 or -5. Check sum = 2, product = -35. | quadratic |
734 | roots | easy | What is the square root of 1296? | 36 | Find number that when squared gives 1296. 36*36=1296, so sqrt(1296)=36. | square_roots |
735 | 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 |
736 | percentages | easy | What is 52% of 645? | 335.4 | Calculate 52/100 * 645 = 0.52*645 = 335.4. | percentages |
737 | algebra | medium | Solve for x: x^2 - 5x - 50 = 0 | x = -5, 10 | Factor: (x - -5)(x - 10) = x^2 -(5)x + -50 = 0. So x = -5 or 10. Check sum = 5, product = -50. | quadratic |
738 | 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 |
739 | arithmetic | easy | What is 756 - 629? | 127 | Subtract: 756 - 629 = 127. | basic_operations |
740 | 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 |
741 | fractions | medium | What is 9/4 * 19/5? Give as simplified fraction. | 171/20 | Multiply numerators: 9*19=171. Denominators: 4*5=20. Simplify by gcd 1 to get 171/20. | fraction_operations |
742 | algebra | medium | Solve for x: x^2 - 1x = 0 | x = 1, 0 | Factor: (x - 1)(x - 0) = x^2 -(1)x + 0 = 0. So x = 1 or 0. Check sum = 1, product = 0. | quadratic |
743 | fractions | medium | What is 15/5 * 9/17? Give as simplified fraction. | 27/17 | Multiply numerators: 15*9=135. Denominators: 5*17=85. Simplify by gcd 5 to get 27/17. | fraction_operations |
744 | 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 |
745 | calculus | medium | What is the derivative of 7x^6 with respect to x? | 42x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^6] = 7*6*x^5 = 42x^5. | derivative |
746 | arithmetic | easy | What is 8326 / 46? | 181 | Divide: 8326 ÷ 46 = 181 because 46*181=8326. | division |
747 | exponents | easy | What is 11^2? | 121 | 11^2 means multiply 11 by itself 2 times: 11*11 = 121. | exponents |
748 | algebra | easy | Solve for x: 11x - 35 = -90 | -5 | Add 35 to both sides: 11x = -90+35=-55. Then x = -55/11 = -5. | linear_equation |
749 | exponents | easy | What is 3^3? | 27 | 3^3 means multiply 3 by itself 3 times: 3*3*3 = 27. | exponents |
750 | number_theory | medium | What is the LCM (least common multiple) of 89 and 19? | 1691 | LCM = |89*19| / GCD(89,19). GCD=1, so LCM=1691/1=1691. | lcm |
751 | 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 |
752 | algebra | easy | Solve for x: 19x - 1 = 132 | 7 | Add 1 to both sides: 19x = 132+1=133. Then x = 133/19 = 7. | linear_equation |
753 | 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 |
754 | algebra | medium | Solve for x: x^2 - 2x - 35 = 0 | x = 7, -5 | Factor: (x - 7)(x - -5) = x^2 -(2)x + -35 = 0. So x = 7 or -5. Check sum = 2, product = -35. | quadratic |
755 | statistics | easy | What is the mean (average) of 18, 24, 41, 58? | 35.25 | Mean = sum/count. Sum = 18+24+41+58=141. Count=4. Mean=141/4=35.25. | mean |
756 | arithmetic | easy | What is 887 + 368 * 2? Remember order of operations. | 1623 | Order of operations (PEMDAS): first 368*2=736, then 887+736=1623. | basic_operations |
757 | 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 |
758 | statistics | easy | What is the mean (average) of 88, 63, 54, 91? | 74 | Mean = sum/count. Sum = 88+63+54+91=296. Count=4. Mean=296/4=74.0. | mean |
759 | word_problems | easy | If you have 67 apples and you buy 11 more apples, how many apples do you have in total? | 78 | Add initial 67 plus bought 11: 67+11=78. | addition_word |
760 | arithmetic | easy | What is 815 + 780 * 29? Remember order of operations. | 23435 | Order of operations (PEMDAS): first 780*29=22620, then 815+22620=23435. | basic_operations |
761 | percentages | easy | What is 69% of 296? | 204.24 | Calculate 69/100 * 296 = 0.69*296 = 204.24. | percentages |
762 | algebra | medium | Solve for x: x^2 - 12x + 32 = 0 | x = 4, 8 | Factor: (x - 4)(x - 8) = x^2 -(12)x + 32 = 0. So x = 4 or 8. Check sum = 12, product = 32. | quadratic |
763 | statistics | easy | What is the mean (average) of 66, 15, 74, 15, 35? | 41 | Mean = sum/count. Sum = 66+15+74+15+35=205. Count=5. Mean=205/5=41.0. | mean |
764 | number_theory | medium | What is the GCD (greatest common divisor) of 70 and 97? | 1 | Find greatest number dividing both 70 and 97. Divisors common, greatest is 1. | gcd |
765 | word_problems | easy | If you have 74 candies and you buy 14 more candies, how many candies do you have in total? | 88 | Add initial 74 plus bought 14: 74+14=88. | addition_word |
766 | arithmetic | easy | What is 40800 / 96? | 425 | Divide: 40800 ÷ 96 = 425 because 96*425=40800. | division |
767 | exponents | easy | What is 2^5? | 32 | 2^5 means multiply 2 by itself 5 times: 2*2*2*2*2 = 32. | exponents |
768 | geometry | easy | Find the area of a circle with radius 6. Use pi=3.14159, round to 2 decimals. | 113.1 | Area = pi*r^2 = 3.14159*6^2 = 3.14159*36 = 113.1. | circle_area |
769 | word_problems | easy | If you have 20 books and you buy 50 more books, how many books do you have in total? | 70 | Add initial 20 plus bought 50: 20+50=70. | addition_word |
770 | fractions | medium | What is 19/13 + 20/15? Give as simplified fraction. | 109/39 | Common denominator 13*15=195. 19/13=285/195, 20/15=260/195. Sum = 545/195 = 109/39 simplified. | fraction_operations |
771 | algebra | easy | Solve for x: 7x - 24 = -143 | -17 | Add 24 to both sides: 7x = -143+24=-119. Then x = -119/7 = -17. | linear_equation |
772 | number_theory | medium | What is the GCD (greatest common divisor) of 69 and 36? | 3 | Find greatest number dividing both 69 and 36. Divisors common, greatest is 3. | gcd |
773 | roots | easy | What is the square root of 2116? | 46 | Find number that when squared gives 2116. 46*46=2116, so sqrt(2116)=46. | square_roots |
774 | exponents | easy | What is 6^4? | 1296 | 6^4 means multiply 6 by itself 4 times: 6*6*6*6 = 1296. | exponents |
775 | arithmetic | easy | What is 9367 / 19? | 493 | Divide: 9367 ÷ 19 = 493 because 19*493=9367. | division |
776 | geometry | easy | Find the perimeter of a rectangle with length 90 and width 17. | 214 | Perimeter = 2*(length+width) = 2*(90+17) = 2*107 = 214. | rectangle_perim |
777 | percentages | easy | What is 19% of 729? | 138.51 | Calculate 19/100 * 729 = 0.19*729 = 138.51. | percentages |
778 | 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 |
779 | 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 |
780 | geometry | easy | Find the circumference of a circle with radius 25. Use pi=3.14159, round to 2 decimals. | 157.08 | Circumference = 2*pi*r = 2*3.14159*25 = 157.08. | circle_circum |
781 | word_problems | easy | If you have 14 apples and you buy 41 more apples, how many apples do you have in total? | 55 | Add initial 14 plus bought 41: 14+41=55. | addition_word |
782 | calculus | medium | What is the derivative of 5x^6 with respect to x? | 30x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^6] = 5*6*x^5 = 30x^5. | derivative |
783 | number_theory | medium | What is the LCM (least common multiple) of 59 and 63? | 3717 | LCM = |59*63| / GCD(59,63). GCD=1, so LCM=3717/1=3717. | lcm |
784 | arithmetic | easy | What is 890 + 793? | 1683 | Add the two numbers: 890 + 793 = 1683. | basic_operations |
785 | word_problems | easy | If you have 86 dollars and you buy 43 more dollars, how many dollars do you have in total? | 129 | Add initial 86 plus bought 43: 86+43=129. | addition_word |
786 | arithmetic | easy | What is 815 + 548? | 1363 | Add the two numbers: 815 + 548 = 1363. | basic_operations |
787 | fractions | medium | What is 16/10 - 11/11? Give as simplified fraction. | 3/5 | Common denominator 110. Numerator 176-110=66. So 66/110 simplifies to 3/5. | fraction_operations |
788 | algebra | easy | Solve for x: 19x + 12 = 31 | 1 | Subtract 12 from both sides: 19x = 31-12=19. Then divide by 19: x = 19/19 = 1. | linear_equation |
789 | arithmetic | easy | What is 102 + 48 * 81? Remember order of operations. | 3990 | Order of operations (PEMDAS): first 48*81=3888, then 102+3888=3990. | basic_operations |
790 | 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 |
791 | arithmetic | easy | What is 17 * 84? | 1428 | Multiply: 17 * 84 = 1428. | basic_operations |
792 | geometry | easy | Find the area of a rectangle with length 84 and width 47. | 3948 | Area = length * width = 84*47 = 3948. | rectangle_area |
793 | geometry | easy | Find the area of a rectangle with length 48 and width 86. | 4128 | Area = length * width = 48*86 = 4128. | rectangle_area |
794 | algebra | medium | Solve for x: x^2 + 7x - 18 = 0 | x = -9, 2 | Factor: (x - -9)(x - 2) = x^2 -(-7)x + -18 = 0. So x = -9 or 2. Check sum = -7, product = -18. | quadratic |
795 | exponents | easy | What is 5^5? | 3125 | 5^5 means multiply 5 by itself 5 times: 5*5*5*5*5 = 3125. | exponents |
796 | arithmetic | easy | What is 721 + 98? | 819 | Add the two numbers: 721 + 98 = 819. | basic_operations |
797 | algebra | easy | Solve for x: 19x - 22 = 225 | 13 | Add 22 to both sides: 19x = 225+22=247. Then x = 247/19 = 13. | linear_equation |
798 | word_problems | easy | If you have 6 dollars and you buy 1 more dollars, how many dollars do you have in total? | 7 | Add initial 6 plus bought 1: 6+1=7. | addition_word |
799 | arithmetic | easy | What is 19945 divided by 56? Give answer to 2 decimal places. | 356.16 | Calculate 19945/ 56 = 356.1607, rounded to 2 decimals is 356.16. | division |
800 | arithmetic | easy | What is 14 * 14? | 196 | Multiply: 14 * 14 = 196. | basic_operations |
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