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 |
|---|---|---|---|---|---|---|
3,801 | exponents | easy | What is 10^3? | 1000 | 10^3 means multiply 10 by itself 3 times: 10*10*10 = 1000. | exponents |
3,802 | algebra | easy | Solve for x: 18x - 10 = -316 | -17 | Add 10 to both sides: 18x = -316+10=-306. Then x = -306/18 = -17. | linear_equation |
3,803 | arithmetic | easy | What is 3026 / 89? | 34 | Divide: 3026 ÷ 89 = 34 because 89*34=3026. | division |
3,804 | algebra | medium | Solve for x: x^2 - 1x = 0 | x = 0, 1 | Factor: (x - 0)(x - 1) = x^2 -(1)x + 0 = 0. So x = 0 or 1. Check sum = 1, product = 0. | quadratic |
3,805 | arithmetic | easy | What is 30 * 1? | 30 | Multiply: 30 * 1 = 30. | basic_operations |
3,806 | arithmetic | easy | What is 16 * 29? | 464 | Multiply: 16 * 29 = 464. | basic_operations |
3,807 | arithmetic | easy | What is 578 + 559? | 1137 | Add the two numbers: 578 + 559 = 1137. | basic_operations |
3,808 | statistics | easy | What is the mean (average) of 83, 50, 37, 88, 79? | 67.4 | Mean = sum/count. Sum = 83+50+37+88+79=337. Count=5. Mean=337/5=67.4. | mean |
3,809 | calculus | medium | What is the derivative of 4x^5 with respect to x? | 20x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^5] = 4*5*x^4 = 20x^4. | derivative |
3,810 | statistics | easy | What is the mean (average) of 33, 45, 82, 59, 62? | 56.2 | Mean = sum/count. Sum = 33+45+82+59+62=281. Count=5. Mean=281/5=56.2. | mean |
3,811 | algebra | easy | Solve for x: 15x + 18 = 63 | 3 | Subtract 18 from both sides: 15x = 63-18=45. Then divide by 15: x = 45/15 = 3. | linear_equation |
3,812 | percentages | easy | What is 19% of 294? | 55.86 | Calculate 19/100 * 294 = 0.19*294 = 55.86. | percentages |
3,813 | algebra | medium | Solve for x: x^2 - 4 = 0 | x = 2, -2 | Factor: (x - 2)(x - -2) = x^2 -(0)x + -4 = 0. So x = 2 or -2. Check sum = 0, product = -4. | quadratic |
3,814 | algebra | medium | Solve for x: x^2 + 9x - 10 = 0 | x = 1, -10 | Factor: (x - 1)(x - -10) = x^2 -(-9)x + -10 = 0. So x = 1 or -10. Check sum = -9, product = -10. | quadratic |
3,815 | 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 |
3,816 | exponents | easy | What is 4^2? | 16 | 4^2 means multiply 4 by itself 2 times: 4*4 = 16. | exponents |
3,817 | word_problems | easy | If you have 57 pencils and you buy 46 more pencils, how many pencils do you have in total? | 103 | Add initial 57 plus bought 46: 57+46=103. | addition_word |
3,818 | percentages | easy | What is 52% of 129? | 67.08 | Calculate 52/100 * 129 = 0.52*129 = 67.08. | percentages |
3,819 | number_theory | medium | What is the LCM (least common multiple) of 27 and 52? | 1404 | LCM = |27*52| / GCD(27,52). GCD=1, so LCM=1404/1=1404. | lcm |
3,820 | 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 |
3,821 | word_problems | easy | If you have 61 candies and you buy 25 more candies, how many candies do you have in total? | 86 | Add initial 61 plus bought 25: 61+25=86. | addition_word |
3,822 | number_theory | medium | What is the LCM (least common multiple) of 44 and 42? | 924 | LCM = |44*42| / GCD(44,42). GCD=2, so LCM=1848/2=924. | lcm |
3,823 | algebra | easy | Solve for x: 17x - 24 = -109 | -5 | Add 24 to both sides: 17x = -109+24=-85. Then x = -85/17 = -5. | linear_equation |
3,824 | fractions | medium | What is 7/20 - 7/13? Give as simplified fraction. | -49/260 | Common denominator 260. Numerator 91-140=-49. So -49/260 simplifies to -49/260. | fraction_operations |
3,825 | 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 |
3,826 | exponents | easy | What is 5^5? | 3125 | 5^5 means multiply 5 by itself 5 times: 5*5*5*5*5 = 3125. | exponents |
3,827 | algebra | easy | Solve for x: 16x - 37 = 187 | 14 | Add 37 to both sides: 16x = 187+37=224. Then x = 224/16 = 14. | linear_equation |
3,828 | word_problems | easy | If you have 43 pencils and you buy 50 more pencils, how many pencils do you have in total? | 93 | Add initial 43 plus bought 50: 43+50=93. | addition_word |
3,829 | 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 |
3,830 | fractions | medium | What is 7/12 * 18/7? Give as simplified fraction. | 3/2 | Multiply numerators: 7*18=126. Denominators: 12*7=84. Simplify by gcd 42 to get 3/2. | fraction_operations |
3,831 | 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 |
3,832 | algebra | medium | Solve for x: x^2 + 6x - 40 = 0 | x = 4, -10 | Factor: (x - 4)(x - -10) = x^2 -(-6)x + -40 = 0. So x = 4 or -10. Check sum = -6, product = -40. | quadratic |
3,833 | fractions | medium | What is 13/20 * 6/10? Give as simplified fraction. | 39/100 | Multiply numerators: 13*6=78. Denominators: 20*10=200. Simplify by gcd 2 to get 39/100. | fraction_operations |
3,834 | algebra | easy | Solve for x: 13x + 23 = -81 | -8 | Subtract 23 from both sides: 13x = -81-23=-104. Then divide by 13: x = -104/13 = -8. | linear_equation |
3,835 | algebra | easy | Solve for x: 14x - 10 = 116 | 9 | Add 10 to both sides: 14x = 116+10=126. Then x = 126/14 = 9. | linear_equation |
3,836 | percentages | easy | What is 95% of 134? | 127.3 | Calculate 95/100 * 134 = 0.95*134 = 127.3. | percentages |
3,837 | statistics | easy | What is the mean (average) of 79, 98, 79, 68? | 81 | Mean = sum/count. Sum = 79+98+79+68=324. Count=4. Mean=324/4=81.0. | mean |
3,838 | arithmetic | easy | What is 693 + 100 * 9? Remember order of operations. | 1593 | Order of operations (PEMDAS): first 100*9=900, then 693+900=1593. | basic_operations |
3,839 | arithmetic | easy | What is 874 - 340? | 534 | Subtract: 874 - 340 = 534. | basic_operations |
3,840 | number_theory | medium | What is the GCD (greatest common divisor) of 26 and 96? | 2 | Find greatest number dividing both 26 and 96. Divisors common, greatest is 2. | gcd |
3,841 | fractions | medium | What is 10/4 * 12/12? Give as simplified fraction. | 5/2 | Multiply numerators: 10*12=120. Denominators: 4*12=48. Simplify by gcd 24 to get 5/2. | fraction_operations |
3,842 | word_problems | easy | If you have 65 books and you buy 22 more books, how many books do you have in total? | 87 | Add initial 65 plus bought 22: 65+22=87. | addition_word |
3,843 | exponents | easy | What is 6^2? | 36 | 6^2 means multiply 6 by itself 2 times: 6*6 = 36. | exponents |
3,844 | algebra | medium | Solve for x: x^2 + 11x + 30 = 0 | x = -6, -5 | Factor: (x - -6)(x - -5) = x^2 -(-11)x + 30 = 0. So x = -6 or -5. Check sum = -11, product = 30. | quadratic |
3,845 | 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 |
3,846 | 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 |
3,847 | statistics | easy | What is the mean (average) of 36, 89, 32, 15, 85? | 51.4 | Mean = sum/count. Sum = 36+89+32+15+85=257. Count=5. Mean=257/5=51.4. | mean |
3,848 | algebra | easy | Solve for x: 15x - 38 = -308 | -18 | Add 38 to both sides: 15x = -308+38=-270. Then x = -270/15 = -18. | linear_equation |
3,849 | algebra | easy | Solve for x: 13x + 10 = 62 | 4 | Subtract 10 from both sides: 13x = 62-10=52. Then divide by 13: x = 52/13 = 4. | linear_equation |
3,850 | statistics | easy | What is the mean (average) of 99, 3, 76? | 59.33 | Mean = sum/count. Sum = 99+3+76=178. Count=3. Mean=178/3=59.33. | mean |
3,851 | number_theory | medium | What is the GCD (greatest common divisor) of 57 and 75? | 3 | Find greatest number dividing both 57 and 75. Divisors common, greatest is 3. | gcd |
3,852 | word_problems | easy | If you have 7 pencils and you buy 32 more pencils, how many pencils do you have in total? | 39 | Add initial 7 plus bought 32: 7+32=39. | addition_word |
3,853 | number_theory | medium | What is the LCM (least common multiple) of 44 and 11? | 44 | LCM = |44*11| / GCD(44,11). GCD=11, so LCM=484/11=44. | lcm |
3,854 | arithmetic | easy | What is 182 - 139? | 43 | Subtract: 182 - 139 = 43. | basic_operations |
3,855 | algebra | easy | Solve for x: 4x + 35 = 3 | -8 | Subtract 35 from both sides: 4x = 3-35=-32. Then divide by 4: x = -32/4 = -8. | linear_equation |
3,856 | roots | easy | What is the square root of 361? | 19 | Find number that when squared gives 361. 19*19=361, so sqrt(361)=19. | square_roots |
3,857 | arithmetic | easy | What is 364 + 618? | 982 | Add the two numbers: 364 + 618 = 982. | basic_operations |
3,858 | 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 |
3,859 | number_theory | medium | What is the LCM (least common multiple) of 33 and 25? | 825 | LCM = |33*25| / GCD(33,25). GCD=1, so LCM=825/1=825. | lcm |
3,860 | arithmetic | easy | What is 502 + 327? | 829 | Add the two numbers: 502 + 327 = 829. | basic_operations |
3,861 | exponents | easy | What is 6^5? | 7776 | 6^5 means multiply 6 by itself 5 times: 6*6*6*6*6 = 7776. | exponents |
3,862 | 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 |
3,863 | arithmetic | easy | What is 59 + 85 * 98? Remember order of operations. | 8389 | Order of operations (PEMDAS): first 85*98=8330, then 59+8330=8389. | basic_operations |
3,864 | arithmetic | easy | What is 134 + 893? | 1027 | Add the two numbers: 134 + 893 = 1027. | basic_operations |
3,865 | arithmetic | easy | What is 390 - 310? | 80 | Subtract: 390 - 310 = 80. | basic_operations |
3,866 | arithmetic | easy | What is 49 * 43? | 2107 | Multiply: 49 * 43 = 2107. | basic_operations |
3,867 | 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 |
3,868 | 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 |
3,869 | number_theory | medium | What is the GCD (greatest common divisor) of 93 and 34? | 1 | Find greatest number dividing both 93 and 34. Divisors common, greatest is 1. | gcd |
3,870 | statistics | easy | What is the mean (average) of 35, 11, 58, 86? | 47.5 | Mean = sum/count. Sum = 35+11+58+86=190. Count=4. Mean=190/4=47.5. | mean |
3,871 | arithmetic | easy | What is 15 * 3? | 45 | Multiply: 15 * 3 = 45. | basic_operations |
3,872 | arithmetic | easy | What is 1287 / 33? | 39 | Divide: 1287 ÷ 33 = 39 because 33*39=1287. | division |
3,873 | arithmetic | easy | What is 158 + 586? | 744 | Add the two numbers: 158 + 586 = 744. | basic_operations |
3,874 | arithmetic | easy | What is 741 - 14? | 727 | Subtract: 741 - 14 = 727. | basic_operations |
3,875 | arithmetic | easy | What is 597 - 160? | 437 | Subtract: 597 - 160 = 437. | basic_operations |
3,876 | 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 |
3,877 | arithmetic | easy | What is 5040 / 80? | 63 | Divide: 5040 ÷ 80 = 63 because 80*63=5040. | division |
3,878 | fractions | medium | What is 3/7 + 3/4? Give as simplified fraction. | 33/28 | Common denominator 7*4=28. 3/7=12/28, 3/4=21/28. Sum = 33/28 = 33/28 simplified. | fraction_operations |
3,879 | 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 |
3,880 | percentages | easy | What is 27% of 52? | 14.04 | Calculate 27/100 * 52 = 0.27*52 = 14.04. | percentages |
3,881 | arithmetic | easy | What is 25 * 61? | 1525 | Multiply: 25 * 61 = 1525. | basic_operations |
3,882 | statistics | easy | What is the mean (average) of 91, 24, 61, 37, 94? | 61.4 | Mean = sum/count. Sum = 91+24+61+37+94=307. Count=5. Mean=307/5=61.4. | mean |
3,883 | arithmetic | easy | What is 454 + 190 * 65? Remember order of operations. | 12804 | Order of operations (PEMDAS): first 190*65=12350, then 454+12350=12804. | basic_operations |
3,884 | fractions | medium | What is 9/6 + 18/20? Give as simplified fraction. | 12/5 | Common denominator 6*20=120. 9/6=180/120, 18/20=108/120. Sum = 288/120 = 12/5 simplified. | fraction_operations |
3,885 | arithmetic | easy | What is 35490 / 91? | 390 | Divide: 35490 ÷ 91 = 390 because 91*390=35490. | division |
3,886 | algebra | medium | Solve for x: x^2 + 3x = 0 | x = 0, -3 | Factor: (x - 0)(x - -3) = x^2 -(-3)x + 0 = 0. So x = 0 or -3. Check sum = -3, product = 0. | quadratic |
3,887 | algebra | medium | Solve for x: x^2 - 12x + 20 = 0 | x = 2, 10 | Factor: (x - 2)(x - 10) = x^2 -(12)x + 20 = 0. So x = 2 or 10. Check sum = 12, product = 20. | quadratic |
3,888 | exponents | easy | What is 11^5? | 161051 | 11^5 means multiply 11 by itself 5 times: 11*11*11*11*11 = 161051. | exponents |
3,889 | exponents | easy | What is 5^5? | 3125 | 5^5 means multiply 5 by itself 5 times: 5*5*5*5*5 = 3125. | exponents |
3,890 | geometry | easy | Find the area of a circle with radius 48. Use pi=3.14159, round to 2 decimals. | 7238.23 | Area = pi*r^2 = 3.14159*48^2 = 3.14159*2304 = 7238.23. | circle_area |
3,891 | percentages | easy | What is 68% of 8? | 5.44 | Calculate 68/100 * 8 = 0.68*8 = 5.44. | percentages |
3,892 | geometry | easy | Find the area of a circle with radius 49. Use pi=3.14159, round to 2 decimals. | 7542.96 | Area = pi*r^2 = 3.14159*49^2 = 3.14159*2401 = 7542.96. | circle_area |
3,893 | algebra | medium | Solve for x: x^2 + 17x + 72 = 0 | x = -8, -9 | Factor: (x - -8)(x - -9) = x^2 -(-17)x + 72 = 0. So x = -8 or -9. Check sum = -17, product = 72. | quadratic |
3,894 | arithmetic | easy | What is 506 + 353? | 859 | Add the two numbers: 506 + 353 = 859. | basic_operations |
3,895 | 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 |
3,896 | word_problems | easy | If you have 6 apples and you buy 48 more apples, how many apples do you have in total? | 54 | Add initial 6 plus bought 48: 6+48=54. | addition_word |
3,897 | roots | easy | What is the square root of 1444? | 38 | Find number that when squared gives 1444. 38*38=1444, so sqrt(1444)=38. | square_roots |
3,898 | number_theory | medium | What is the GCD (greatest common divisor) of 90 and 88? | 2 | Find greatest number dividing both 90 and 88. Divisors common, greatest is 2. | gcd |
3,899 | geometry | easy | Find the area of a circle with radius 29. Use pi=3.14159, round to 2 decimals. | 2642.08 | Area = pi*r^2 = 3.14159*29^2 = 3.14159*841 = 2642.08. | circle_area |
3,900 | number_theory | medium | What is the LCM (least common multiple) of 96 and 62? | 2976 | LCM = |96*62| / GCD(96,62). GCD=2, so LCM=5952/2=2976. | lcm |
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