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 |
|---|---|---|---|---|---|---|
734,701 | statistics | easy | What is the mean (average) of 32, 27, 65, 8? | 33 | Mean = sum/count. Sum = 32+27+65+8=132. Count=4. Mean=132/4=33.0. | mean |
734,702 | arithmetic | easy | What is 643 - 618? | 25 | Subtract: 643 - 618 = 25. | basic_operations |
734,703 | exponents | easy | What is 5^3? | 125 | 5^3 means multiply 5 by itself 3 times: 5*5*5 = 125. | exponents |
734,704 | algebra | medium | Solve for x: x^2 + 10x = 0 | x = -10, 0 | Factor: (x - -10)(x - 0) = x^2 -(-10)x + 0 = 0. So x = -10 or 0. Check sum = -10, product = 0. | quadratic |
734,705 | arithmetic | easy | What is 824 - 24? | 800 | Subtract: 824 - 24 = 800. | basic_operations |
734,706 | arithmetic | easy | What is 398 - 285? | 113 | Subtract: 398 - 285 = 113. | basic_operations |
734,707 | statistics | easy | What is the mean (average) of 97, 81, 60, 44, 6? | 57.6 | Mean = sum/count. Sum = 97+81+60+44+6=288. Count=5. Mean=288/5=57.6. | mean |
734,708 | algebra | medium | Solve for x: x^2 - 8x - 20 = 0 | x = 10, -2 | Factor: (x - 10)(x - -2) = x^2 -(8)x + -20 = 0. So x = 10 or -2. Check sum = 8, product = -20. | quadratic |
734,709 | calculus | medium | What is the derivative of 7x^2 with respect to x? | 14x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [7x^2] = 7*2*x^1 = 14x. | derivative |
734,710 | arithmetic | easy | What is 214 + 376? | 590 | Add the two numbers: 214 + 376 = 590. | basic_operations |
734,711 | number_theory | medium | What is the LCM (least common multiple) of 69 and 62? | 4278 | LCM = |69*62| / GCD(69,62). GCD=1, so LCM=4278/1=4278. | lcm |
734,712 | statistics | easy | What is the mean (average) of 19, 59, 17, 87, 93? | 55 | Mean = sum/count. Sum = 19+59+17+87+93=275. Count=5. Mean=275/5=55.0. | mean |
734,713 | geometry | easy | Find the area of a triangle with base 60 and height 85. | 2550 | Area = 0.5*base*height = 0.5*60*85 = 2550. | triangle_area |
734,714 | geometry | easy | Find the area of a circle with radius 26. Use pi=3.14159, round to 2 decimals. | 2123.72 | Area = pi*r^2 = 3.14159*26^2 = 3.14159*676 = 2123.72. | circle_area |
734,715 | algebra | easy | Solve for x: 20x - 7 = -247 | -12 | Add 7 to both sides: 20x = -247+7=-240. Then x = -240/20 = -12. | linear_equation |
734,716 | geometry | easy | Find the area of a rectangle with length 18 and width 97. | 1746 | Area = length * width = 18*97 = 1746. | rectangle_area |
734,717 | word_problems | easy | If you have 40 apples and you buy 49 more apples, how many apples do you have in total? | 89 | Add initial 40 plus bought 49: 40+49=89. | addition_word |
734,718 | percentages | easy | What is 36% of 602? | 216.72 | Calculate 36/100 * 602 = 0.36*602 = 216.72. | percentages |
734,719 | arithmetic | easy | What is 17052 / 98? | 174 | Divide: 17052 ÷ 98 = 174 because 98*174=17052. | division |
734,720 | exponents | easy | What is 12^5? | 248832 | 12^5 means multiply 12 by itself 5 times: 12*12*12*12*12 = 248832. | exponents |
734,721 | geometry | easy | Find the circumference of a circle with radius 23. Use pi=3.14159, round to 2 decimals. | 144.51 | Circumference = 2*pi*r = 2*3.14159*23 = 144.51. | circle_circum |
734,722 | algebra | medium | Solve for x: x^2 - 1x - 6 = 0 | x = 3, -2 | Factor: (x - 3)(x - -2) = x^2 -(1)x + -6 = 0. So x = 3 or -2. Check sum = 1, product = -6. | quadratic |
734,723 | arithmetic | easy | What is 58 * 88? | 5104 | Multiply: 58 * 88 = 5104. | basic_operations |
734,724 | fractions | medium | What is 20/4 * 1/11? Give as simplified fraction. | 5/11 | Multiply numerators: 20*1=20. Denominators: 4*11=44. Simplify by gcd 4 to get 5/11. | fraction_operations |
734,725 | arithmetic | easy | What is 16878 / 58? | 291 | Divide: 16878 ÷ 58 = 291 because 58*291=16878. | division |
734,726 | number_theory | medium | What is the GCD (greatest common divisor) of 41 and 17? | 1 | Find greatest number dividing both 41 and 17. Divisors common, greatest is 1. | gcd |
734,727 | algebra | medium | Solve for x: x^2 + 17x + 72 = 0 | x = -9, -8 | Factor: (x - -9)(x - -8) = x^2 -(-17)x + 72 = 0. So x = -9 or -8. Check sum = -17, product = 72. | quadratic |
734,728 | arithmetic | easy | What is 62 * 17? | 1054 | Multiply: 62 * 17 = 1054. | basic_operations |
734,729 | arithmetic | easy | What is 20646 / 93? | 222 | Divide: 20646 ÷ 93 = 222 because 93*222=20646. | division |
734,730 | arithmetic | easy | What is 833 + 265 * 29? Remember order of operations. | 8518 | Order of operations (PEMDAS): first 265*29=7685, then 833+7685=8518. | basic_operations |
734,731 | arithmetic | easy | What is 23387 / 91? | 257 | Divide: 23387 ÷ 91 = 257 because 91*257=23387. | division |
734,732 | geometry | easy | Find the circumference of a circle with radius 33. Use pi=3.14159, round to 2 decimals. | 207.35 | Circumference = 2*pi*r = 2*3.14159*33 = 207.35. | circle_circum |
734,733 | statistics | easy | What is the mean (average) of 71, 93, 15, 62, 82? | 64.6 | Mean = sum/count. Sum = 71+93+15+62+82=323. Count=5. Mean=323/5=64.6. | mean |
734,734 | algebra | easy | Solve for x: 15x + 21 = 51 | 2 | Subtract 21 from both sides: 15x = 51-21=30. Then divide by 15: x = 30/15 = 2. | linear_equation |
734,735 | fractions | medium | What is 5/4 * 4/7? Give as simplified fraction. | 5/7 | Multiply numerators: 5*4=20. Denominators: 4*7=28. Simplify by gcd 4 to get 5/7. | fraction_operations |
734,736 | arithmetic | easy | What is 269 + 989? | 1258 | Add the two numbers: 269 + 989 = 1258. | basic_operations |
734,737 | arithmetic | easy | What is 17313 / 87? | 199 | Divide: 17313 ÷ 87 = 199 because 87*199=17313. | division |
734,738 | percentages | easy | What is 79% of 637? | 503.23 | Calculate 79/100 * 637 = 0.79*637 = 503.23. | percentages |
734,739 | percentages | easy | What is 2% of 595? | 11.9 | Calculate 2/100 * 595 = 0.02*595 = 11.9. | percentages |
734,740 | percentages | easy | What is 79% of 787? | 621.73 | Calculate 79/100 * 787 = 0.79*787 = 621.73. | percentages |
734,741 | statistics | easy | What is the mean (average) of 65, 40, 5? | 36.67 | Mean = sum/count. Sum = 65+40+5=110. Count=3. Mean=110/3=36.67. | mean |
734,742 | arithmetic | easy | What is 579 + 358? | 937 | Add the two numbers: 579 + 358 = 937. | basic_operations |
734,743 | statistics | easy | What is the mean (average) of 44, 93, 73, 79, 34? | 64.6 | Mean = sum/count. Sum = 44+93+73+79+34=323. Count=5. Mean=323/5=64.6. | mean |
734,744 | exponents | easy | What is 2^3? | 8 | 2^3 means multiply 2 by itself 3 times: 2*2*2 = 8. | exponents |
734,745 | fractions | medium | What is 11/13 + 13/15? Give as simplified fraction. | 334/195 | Common denominator 13*15=195. 11/13=165/195, 13/15=169/195. Sum = 334/195 = 334/195 simplified. | fraction_operations |
734,746 | word_problems | easy | If you have 47 apples and you buy 45 more apples, how many apples do you have in total? | 92 | Add initial 47 plus bought 45: 47+45=92. | addition_word |
734,747 | percentages | easy | What is 86% of 317? | 272.62 | Calculate 86/100 * 317 = 0.86*317 = 272.62. | percentages |
734,748 | fractions | medium | What is 2/7 - 15/8? Give as simplified fraction. | -89/56 | Common denominator 56. Numerator 16-105=-89. So -89/56 simplifies to -89/56. | fraction_operations |
734,749 | geometry | easy | Find the area of a rectangle with length 7 and width 74. | 518 | Area = length * width = 7*74 = 518. | rectangle_area |
734,750 | exponents | easy | What is 3^2? | 9 | 3^2 means multiply 3 by itself 2 times: 3*3 = 9. | exponents |
734,751 | arithmetic | easy | What is 659 + 533? | 1192 | Add the two numbers: 659 + 533 = 1192. | basic_operations |
734,752 | fractions | medium | What is 2/2 * 10/19? Give as simplified fraction. | 10/19 | Multiply numerators: 2*10=20. Denominators: 2*19=38. Simplify by gcd 2 to get 10/19. | fraction_operations |
734,753 | number_theory | medium | What is the LCM (least common multiple) of 63 and 65? | 4095 | LCM = |63*65| / GCD(63,65). GCD=1, so LCM=4095/1=4095. | lcm |
734,754 | algebra | easy | Solve for x: 6x - 36 = -48 | -2 | Add 36 to both sides: 6x = -48+36=-12. Then x = -12/6 = -2. | linear_equation |
734,755 | percentages | easy | What is 46% of 706? | 324.76 | Calculate 46/100 * 706 = 0.46*706 = 324.76. | percentages |
734,756 | number_theory | medium | What is the LCM (least common multiple) of 54 and 60? | 540 | LCM = |54*60| / GCD(54,60). GCD=6, so LCM=3240/6=540. | lcm |
734,757 | arithmetic | easy | What is 42 + 655 * 18? Remember order of operations. | 11832 | Order of operations (PEMDAS): first 655*18=11790, then 42+11790=11832. | basic_operations |
734,758 | arithmetic | easy | What is 410 + 800? | 1210 | Add the two numbers: 410 + 800 = 1210. | basic_operations |
734,759 | statistics | easy | What is the mean (average) of 4, 29, 60? | 31 | Mean = sum/count. Sum = 4+29+60=93. Count=3. Mean=93/3=31.0. | mean |
734,760 | algebra | medium | Solve for x: x^2 - 2x - 24 = 0 | x = 6, -4 | Factor: (x - 6)(x - -4) = x^2 -(2)x + -24 = 0. So x = 6 or -4. Check sum = 2, product = -24. | quadratic |
734,761 | 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 |
734,762 | calculus | medium | What is the derivative of 10x^4 with respect to x? | 40x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^4] = 10*4*x^3 = 40x^3. | derivative |
734,763 | arithmetic | easy | What is 697 + 64 * 31? Remember order of operations. | 2681 | Order of operations (PEMDAS): first 64*31=1984, then 697+1984=2681. | basic_operations |
734,764 | number_theory | medium | What is the LCM (least common multiple) of 23 and 83? | 1909 | LCM = |23*83| / GCD(23,83). GCD=1, so LCM=1909/1=1909. | lcm |
734,765 | roots | easy | What is the square root of 1849? | 43 | Find number that when squared gives 1849. 43*43=1849, so sqrt(1849)=43. | square_roots |
734,766 | exponents | easy | What is 2^5? | 32 | 2^5 means multiply 2 by itself 5 times: 2*2*2*2*2 = 32. | exponents |
734,767 | statistics | easy | What is the mean (average) of 73, 10, 29? | 37.33 | Mean = sum/count. Sum = 73+10+29=112. Count=3. Mean=112/3=37.33. | mean |
734,768 | fractions | medium | What is 10/5 + 6/8? Give as simplified fraction. | 11/4 | Common denominator 5*8=40. 10/5=80/40, 6/8=30/40. Sum = 110/40 = 11/4 simplified. | fraction_operations |
734,769 | 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 |
734,770 | number_theory | medium | What is the GCD (greatest common divisor) of 88 and 98? | 2 | Find greatest number dividing both 88 and 98. Divisors common, greatest is 2. | gcd |
734,771 | exponents | easy | What is 6^4? | 1296 | 6^4 means multiply 6 by itself 4 times: 6*6*6*6 = 1296. | exponents |
734,772 | fractions | medium | What is 5/16 + 1/14? Give as simplified fraction. | 43/112 | Common denominator 16*14=224. 5/16=70/224, 1/14=16/224. Sum = 86/224 = 43/112 simplified. | fraction_operations |
734,773 | arithmetic | easy | What is 13904 / 88? | 158 | Divide: 13904 ÷ 88 = 158 because 88*158=13904. | division |
734,774 | roots | easy | What is the square root of 1156? | 34 | Find number that when squared gives 1156. 34*34=1156, so sqrt(1156)=34. | square_roots |
734,775 | number_theory | medium | What is the GCD (greatest common divisor) of 19 and 58? | 1 | Find greatest number dividing both 19 and 58. Divisors common, greatest is 1. | gcd |
734,776 | calculus | medium | What is the derivative of 6x^5 with respect to x? | 30x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^5] = 6*5*x^4 = 30x^4. | derivative |
734,777 | arithmetic | easy | What is 84 * 31? | 2604 | Multiply: 84 * 31 = 2604. | basic_operations |
734,778 | arithmetic | easy | What is 51 * 41? | 2091 | Multiply: 51 * 41 = 2091. | basic_operations |
734,779 | 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 |
734,780 | 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 |
734,781 | fractions | medium | What is 12/6 + 17/4? Give as simplified fraction. | 25/4 | Common denominator 6*4=24. 12/6=48/24, 17/4=102/24. Sum = 150/24 = 25/4 simplified. | fraction_operations |
734,782 | word_problems | easy | If you have 87 pencils and you buy 38 more pencils, how many pencils do you have in total? | 125 | Add initial 87 plus bought 38: 87+38=125. | addition_word |
734,783 | number_theory | medium | What is the GCD (greatest common divisor) of 44 and 6? | 2 | Find greatest number dividing both 44 and 6. Divisors common, greatest is 2. | gcd |
734,784 | word_problems | easy | If you have 65 apples and you buy 42 more apples, how many apples do you have in total? | 107 | Add initial 65 plus bought 42: 65+42=107. | addition_word |
734,785 | arithmetic | easy | What is 57 * 57? | 3249 | Multiply: 57 * 57 = 3249. | basic_operations |
734,786 | calculus | medium | What is the derivative of 8x^3 with respect to x? | 24x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [8x^3] = 8*3*x^2 = 24x^2. | derivative |
734,787 | percentages | easy | What is 44% of 334? | 146.96 | Calculate 44/100 * 334 = 0.44*334 = 146.96. | percentages |
734,788 | arithmetic | easy | What is 7290 / 90? | 81 | Divide: 7290 ÷ 90 = 81 because 90*81=7290. | division |
734,789 | word_problems | easy | If you have 36 apples and you buy 13 more apples, how many apples do you have in total? | 49 | Add initial 36 plus bought 13: 36+13=49. | addition_word |
734,790 | arithmetic | easy | What is 590 + 33? | 623 | Add the two numbers: 590 + 33 = 623. | basic_operations |
734,791 | statistics | easy | What is the mean (average) of 11, 21, 31, 39, 98? | 40 | Mean = sum/count. Sum = 11+21+31+39+98=200. Count=5. Mean=200/5=40.0. | mean |
734,792 | arithmetic | easy | What is 1669 divided by 42? Give answer to 2 decimal places. | 39.74 | Calculate 1669/ 42 = 39.7381, rounded to 2 decimals is 39.74. | division |
734,793 | exponents | easy | What is 2^3? | 8 | 2^3 means multiply 2 by itself 3 times: 2*2*2 = 8. | exponents |
734,794 | arithmetic | easy | What is 666 - 421? | 245 | Subtract: 666 - 421 = 245. | basic_operations |
734,795 | arithmetic | easy | What is 326 + 699? | 1025 | Add the two numbers: 326 + 699 = 1025. | basic_operations |
734,796 | arithmetic | easy | What is 17101 / 49? | 349 | Divide: 17101 ÷ 49 = 349 because 49*349=17101. | division |
734,797 | exponents | easy | What is 8^2? | 64 | 8^2 means multiply 8 by itself 2 times: 8*8 = 64. | exponents |
734,798 | 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 |
734,799 | arithmetic | easy | What is 20880 / 72? | 290 | Divide: 20880 ÷ 72 = 290 because 72*290=20880. | division |
734,800 | arithmetic | easy | What is 840 - 383? | 457 | Subtract: 840 - 383 = 457. | basic_operations |
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