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 |
|---|---|---|---|---|---|---|
12,801 | geometry | easy | Find the circumference of a circle with radius 8. Use pi=3.14159, round to 2 decimals. | 50.27 | Circumference = 2*pi*r = 2*3.14159*8 = 50.27. | circle_circum |
12,802 | arithmetic | easy | What is 390 + 50? | 440 | Add the two numbers: 390 + 50 = 440. | basic_operations |
12,803 | percentages | easy | What is 63% of 930? | 585.9 | Calculate 63/100 * 930 = 0.63*930 = 585.9. | percentages |
12,804 | word_problems | easy | If you have 72 pencils and you buy 35 more pencils, how many pencils do you have in total? | 107 | Add initial 72 plus bought 35: 72+35=107. | addition_word |
12,805 | algebra | medium | Solve for x: x^2 + 10x + 16 = 0 | x = -8, -2 | Factor: (x - -8)(x - -2) = x^2 -(-10)x + 16 = 0. So x = -8 or -2. Check sum = -10, product = 16. | quadratic |
12,806 | arithmetic | easy | What is 4331 / 71? | 61 | Divide: 4331 ÷ 71 = 61 because 71*61=4331. | division |
12,807 | word_problems | easy | If you have 25 apples and you buy 39 more apples, how many apples do you have in total? | 64 | Add initial 25 plus bought 39: 25+39=64. | addition_word |
12,808 | geometry | easy | Find the circumference of a circle with radius 40. Use pi=3.14159, round to 2 decimals. | 251.33 | Circumference = 2*pi*r = 2*3.14159*40 = 251.33. | circle_circum |
12,809 | arithmetic | easy | What is 744 + 108? | 852 | Add the two numbers: 744 + 108 = 852. | basic_operations |
12,810 | number_theory | medium | What is the LCM (least common multiple) of 99 and 51? | 1683 | LCM = |99*51| / GCD(99,51). GCD=3, so LCM=5049/3=1683. | lcm |
12,811 | word_problems | easy | If you have 86 candies and you buy 44 more candies, how many candies do you have in total? | 130 | Add initial 86 plus bought 44: 86+44=130. | addition_word |
12,812 | 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 |
12,813 | number_theory | medium | What is the LCM (least common multiple) of 59 and 97? | 5723 | LCM = |59*97| / GCD(59,97). GCD=1, so LCM=5723/1=5723. | lcm |
12,814 | word_problems | easy | If you have 80 books and you buy 2 more books, how many books do you have in total? | 82 | Add initial 80 plus bought 2: 80+2=82. | addition_word |
12,815 | percentages | easy | What is 52% of 644? | 334.88 | Calculate 52/100 * 644 = 0.52*644 = 334.88. | percentages |
12,816 | word_problems | easy | If you have 98 pencils and you buy 21 more pencils, how many pencils do you have in total? | 119 | Add initial 98 plus bought 21: 98+21=119. | addition_word |
12,817 | geometry | easy | Find the circumference of a circle with radius 39. Use pi=3.14159, round to 2 decimals. | 245.04 | Circumference = 2*pi*r = 2*3.14159*39 = 245.04. | circle_circum |
12,818 | arithmetic | easy | What is 98 * 80? | 7840 | Multiply: 98 * 80 = 7840. | basic_operations |
12,819 | fractions | medium | What is 16/18 * 10/19? Give as simplified fraction. | 80/171 | Multiply numerators: 16*10=160. Denominators: 18*19=342. Simplify by gcd 2 to get 80/171. | fraction_operations |
12,820 | calculus | medium | What is the derivative of 3x^4 with respect to x? | 12x^3 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^4] = 3*4*x^3 = 12x^3. | derivative |
12,821 | fractions | medium | What is 2/19 - 1/11? Give as simplified fraction. | 3/209 | Common denominator 209. Numerator 22-19=3. So 3/209 simplifies to 3/209. | fraction_operations |
12,822 | fractions | medium | What is 7/10 - 7/2? Give as simplified fraction. | -14/5 | Common denominator 20. Numerator 14-70=-56. So -56/20 simplifies to -14/5. | fraction_operations |
12,823 | algebra | medium | Solve for x: x^2 + 6x - 40 = 0 | x = -10, 4 | Factor: (x - -10)(x - 4) = x^2 -(-6)x + -40 = 0. So x = -10 or 4. Check sum = -6, product = -40. | quadratic |
12,824 | arithmetic | easy | What is 25 - 3? | 22 | Subtract: 25 - 3 = 22. | basic_operations |
12,825 | word_problems | easy | If you have 49 dollars and you buy 22 more dollars, how many dollars do you have in total? | 71 | Add initial 49 plus bought 22: 49+22=71. | addition_word |
12,826 | word_problems | easy | If you have 49 pencils and you buy 13 more pencils, how many pencils do you have in total? | 62 | Add initial 49 plus bought 13: 49+13=62. | addition_word |
12,827 | 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 |
12,828 | exponents | easy | What is 3^5? | 243 | 3^5 means multiply 3 by itself 5 times: 3*3*3*3*3 = 243. | exponents |
12,829 | fractions | medium | What is 17/6 + 11/4? Give as simplified fraction. | 67/12 | Common denominator 6*4=24. 17/6=68/24, 11/4=66/24. Sum = 134/24 = 67/12 simplified. | fraction_operations |
12,830 | statistics | easy | What is the mean (average) of 82, 26, 7? | 38.33 | Mean = sum/count. Sum = 82+26+7=115. Count=3. Mean=115/3=38.33. | mean |
12,831 | fractions | medium | What is 12/18 - 6/4? Give as simplified fraction. | -5/6 | Common denominator 72. Numerator 48-108=-60. So -60/72 simplifies to -5/6. | fraction_operations |
12,832 | algebra | medium | Solve for x: x^2 + 1x - 6 = 0 | x = 2, -3 | Factor: (x - 2)(x - -3) = x^2 -(-1)x + -6 = 0. So x = 2 or -3. Check sum = -1, product = -6. | quadratic |
12,833 | percentages | easy | What is 4% of 558? | 22.32 | Calculate 4/100 * 558 = 0.04*558 = 22.32. | percentages |
12,834 | arithmetic | easy | What is 969 - 802? | 167 | Subtract: 969 - 802 = 167. | basic_operations |
12,835 | arithmetic | easy | What is 92 * 55? | 5060 | Multiply: 92 * 55 = 5060. | basic_operations |
12,836 | arithmetic | easy | What is 171 - 110? | 61 | Subtract: 171 - 110 = 61. | basic_operations |
12,837 | exponents | easy | What is 6^3? | 216 | 6^3 means multiply 6 by itself 3 times: 6*6*6 = 216. | exponents |
12,838 | arithmetic | easy | What is 408 - 327? | 81 | Subtract: 408 - 327 = 81. | basic_operations |
12,839 | algebra | easy | Solve for x: 3x - 38 = -74 | -12 | Add 38 to both sides: 3x = -74+38=-36. Then x = -36/3 = -12. | linear_equation |
12,840 | word_problems | easy | If you have 18 candies and you buy 45 more candies, how many candies do you have in total? | 63 | Add initial 18 plus bought 45: 18+45=63. | addition_word |
12,841 | arithmetic | easy | What is 581 divided by 2? Give answer to 2 decimal places. | 290.5 | Calculate 581/ 2 = 290.5000, rounded to 2 decimals is 290.5. | division |
12,842 | 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 |
12,843 | percentages | easy | What is 48% of 132? | 63.36 | Calculate 48/100 * 132 = 0.48*132 = 63.36. | percentages |
12,844 | arithmetic | easy | What is 342 + 156 * 54? Remember order of operations. | 8766 | Order of operations (PEMDAS): first 156*54=8424, then 342+8424=8766. | basic_operations |
12,845 | word_problems | easy | If you have 19 apples and you buy 5 more apples, how many apples do you have in total? | 24 | Add initial 19 plus bought 5: 19+5=24. | addition_word |
12,846 | word_problems | easy | If you have 5 pencils and you buy 26 more pencils, how many pencils do you have in total? | 31 | Add initial 5 plus bought 26: 5+26=31. | addition_word |
12,847 | 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 |
12,848 | 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 |
12,849 | 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 |
12,850 | exponents | easy | What is 3^4? | 81 | 3^4 means multiply 3 by itself 4 times: 3*3*3*3 = 81. | exponents |
12,851 | statistics | easy | What is the mean (average) of 45, 78, 40? | 54.33 | Mean = sum/count. Sum = 45+78+40=163. Count=3. Mean=163/3=54.33. | mean |
12,852 | 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 |
12,853 | roots | easy | What is the square root of 169? | 13 | Find number that when squared gives 169. 13*13=169, so sqrt(169)=13. | square_roots |
12,854 | word_problems | easy | If you have 42 dollars and you buy 12 more dollars, how many dollars do you have in total? | 54 | Add initial 42 plus bought 12: 42+12=54. | addition_word |
12,855 | algebra | medium | Solve for x: x^2 - 4x = 0 | x = 0, 4 | Factor: (x - 0)(x - 4) = x^2 -(4)x + 0 = 0. So x = 0 or 4. Check sum = 4, product = 0. | quadratic |
12,856 | word_problems | easy | If you have 53 pencils and you buy 35 more pencils, how many pencils do you have in total? | 88 | Add initial 53 plus bought 35: 53+35=88. | addition_word |
12,857 | statistics | easy | What is the mean (average) of 62, 97, 29, 88, 74? | 70 | Mean = sum/count. Sum = 62+97+29+88+74=350. Count=5. Mean=350/5=70.0. | mean |
12,858 | number_theory | medium | What is the LCM (least common multiple) of 12 and 50? | 300 | LCM = |12*50| / GCD(12,50). GCD=2, so LCM=600/2=300. | lcm |
12,859 | arithmetic | easy | What is 84 * 32? | 2688 | Multiply: 84 * 32 = 2688. | basic_operations |
12,860 | arithmetic | easy | What is 3 * 79? | 237 | Multiply: 3 * 79 = 237. | basic_operations |
12,861 | arithmetic | easy | What is 696 + 451? | 1147 | Add the two numbers: 696 + 451 = 1147. | basic_operations |
12,862 | arithmetic | easy | What is 25353 / 81? | 313 | Divide: 25353 ÷ 81 = 313 because 81*313=25353. | division |
12,863 | algebra | easy | Solve for x: 8x - 43 = -51 | -1 | Add 43 to both sides: 8x = -51+43=-8. Then x = -8/8 = -1. | linear_equation |
12,864 | statistics | easy | What is the mean (average) of 20, 44, 92, 76? | 58 | Mean = sum/count. Sum = 20+44+92+76=232. Count=4. Mean=232/4=58.0. | mean |
12,865 | 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 |
12,866 | arithmetic | easy | What is 91 * 45? | 4095 | Multiply: 91 * 45 = 4095. | basic_operations |
12,867 | percentages | easy | What is 30% of 824? | 247.2 | Calculate 30/100 * 824 = 0.3*824 = 247.2. | percentages |
12,868 | exponents | easy | What is 3^5? | 243 | 3^5 means multiply 3 by itself 5 times: 3*3*3*3*3 = 243. | exponents |
12,869 | algebra | easy | Solve for x: 19x + 37 = -324 | -19 | Subtract 37 from both sides: 19x = -324-37=-361. Then divide by 19: x = -361/19 = -19. | linear_equation |
12,870 | 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 |
12,871 | arithmetic | easy | What is 53 + 51 * 90? Remember order of operations. | 4643 | Order of operations (PEMDAS): first 51*90=4590, then 53+4590=4643. | basic_operations |
12,872 | fractions | medium | What is 1/20 - 18/3? Give as simplified fraction. | -119/20 | Common denominator 60. Numerator 3-360=-357. So -357/60 simplifies to -119/20. | fraction_operations |
12,873 | arithmetic | easy | What is 655 - 535? | 120 | Subtract: 655 - 535 = 120. | basic_operations |
12,874 | geometry | easy | Find the area of a triangle with base 27 and height 53. | 715.5 | Area = 0.5*base*height = 0.5*27*53 = 715.5. | triangle_area |
12,875 | percentages | easy | What is 42% of 446? | 187.32 | Calculate 42/100 * 446 = 0.42*446 = 187.32. | percentages |
12,876 | arithmetic | easy | What is 956 - 710? | 246 | Subtract: 956 - 710 = 246. | basic_operations |
12,877 | percentages | easy | What is 37% of 499? | 184.63 | Calculate 37/100 * 499 = 0.37*499 = 184.63. | percentages |
12,878 | algebra | easy | Solve for x: 10x + 39 = -1 | -4 | Subtract 39 from both sides: 10x = -1-39=-40. Then divide by 10: x = -40/10 = -4. | linear_equation |
12,879 | arithmetic | easy | What is 20116 divided by 92? Give answer to 2 decimal places. | 218.65 | Calculate 20116/ 92 = 218.6522, rounded to 2 decimals is 218.65. | division |
12,880 | algebra | easy | Solve for x: 4x + 18 = 62 | 11 | Subtract 18 from both sides: 4x = 62-18=44. Then divide by 4: x = 44/4 = 11. | linear_equation |
12,881 | exponents | easy | What is 5^2? | 25 | 5^2 means multiply 5 by itself 2 times: 5*5 = 25. | exponents |
12,882 | 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 |
12,883 | statistics | easy | What is the mean (average) of 17, 78, 82, 26? | 50.75 | Mean = sum/count. Sum = 17+78+82+26=203. Count=4. Mean=203/4=50.75. | mean |
12,884 | algebra | easy | Solve for x: 13x + 17 = -48 | -5 | Subtract 17 from both sides: 13x = -48-17=-65. Then divide by 13: x = -65/13 = -5. | linear_equation |
12,885 | exponents | easy | What is 10^5? | 100000 | 10^5 means multiply 10 by itself 5 times: 10*10*10*10*10 = 100000. | exponents |
12,886 | arithmetic | easy | What is 619 + 737? | 1356 | Add the two numbers: 619 + 737 = 1356. | basic_operations |
12,887 | roots | easy | What is the square root of 49? | 7 | Find number that when squared gives 49. 7*7=49, so sqrt(49)=7. | square_roots |
12,888 | 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 |
12,889 | algebra | medium | Solve for x: x^2 - 15x + 56 = 0 | x = 7, 8 | Factor: (x - 7)(x - 8) = x^2 -(15)x + 56 = 0. So x = 7 or 8. Check sum = 15, product = 56. | quadratic |
12,890 | arithmetic | easy | What is 570 - 320? | 250 | Subtract: 570 - 320 = 250. | basic_operations |
12,891 | algebra | easy | Solve for x: 13x - 33 = 71 | 8 | Add 33 to both sides: 13x = 71+33=104. Then x = 104/13 = 8. | linear_equation |
12,892 | statistics | easy | What is the mean (average) of 29, 14, 24? | 22.33 | Mean = sum/count. Sum = 29+14+24=67. Count=3. Mean=67/3=22.33. | mean |
12,893 | 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 |
12,894 | arithmetic | easy | What is 6207 divided by 18? Give answer to 2 decimal places. | 344.83 | Calculate 6207/ 18 = 344.8333, rounded to 2 decimals is 344.83. | division |
12,895 | calculus | medium | What is the derivative of 5x^3 with respect to x? | 15x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [5x^3] = 5*3*x^2 = 15x^2. | derivative |
12,896 | arithmetic | easy | What is 57 + 96 * 14? Remember order of operations. | 1401 | Order of operations (PEMDAS): first 96*14=1344, then 57+1344=1401. | basic_operations |
12,897 | word_problems | easy | If you have 59 books and you buy 22 more books, how many books do you have in total? | 81 | Add initial 59 plus bought 22: 59+22=81. | addition_word |
12,898 | algebra | easy | Solve for x: 10x + 1 = 191 | 19 | Subtract 1 from both sides: 10x = 191-1=190. Then divide by 10: x = 190/10 = 19. | linear_equation |
12,899 | calculus | medium | What is the derivative of 6x^6 with respect to x? | 36x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^6] = 6*6*x^5 = 36x^5. | derivative |
12,900 | arithmetic | easy | What is 16416 / 54? | 304 | Divide: 16416 ÷ 54 = 304 because 54*304=16416. | division |
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