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 |
|---|---|---|---|---|---|---|
9,701 | 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 |
9,702 | arithmetic | easy | What is 8800 / 55? | 160 | Divide: 8800 ÷ 55 = 160 because 55*160=8800. | division |
9,703 | 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 |
9,704 | algebra | easy | Solve for x: 4x + 21 = -55 | -19 | Subtract 21 from both sides: 4x = -55-21=-76. Then divide by 4: x = -76/4 = -19. | linear_equation |
9,705 | arithmetic | easy | What is 1372 / 14? | 98 | Divide: 1372 ÷ 14 = 98 because 14*98=1372. | division |
9,706 | algebra | easy | Solve for x: 7x - 37 = -23 | 2 | Add 37 to both sides: 7x = -23+37=14. Then x = 14/7 = 2. | linear_equation |
9,707 | calculus | medium | What is the derivative of 9x^8 with respect to x? | 72x^7 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^8] = 9*8*x^7 = 72x^7. | derivative |
9,708 | algebra | medium | Solve for x: x^2 + 4x + 3 = 0 | x = -3, -1 | Factor: (x - -3)(x - -1) = x^2 -(-4)x + 3 = 0. So x = -3 or -1. Check sum = -4, product = 3. | quadratic |
9,709 | algebra | medium | Solve for x: x^2 - 5x - 14 = 0 | x = 7, -2 | Factor: (x - 7)(x - -2) = x^2 -(5)x + -14 = 0. So x = 7 or -2. Check sum = 5, product = -14. | quadratic |
9,710 | arithmetic | easy | What is 95 * 33? | 3135 | Multiply: 95 * 33 = 3135. | basic_operations |
9,711 | calculus | medium | What is the derivative of 2x^5 with respect to x? | 10x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [2x^5] = 2*5*x^4 = 10x^4. | derivative |
9,712 | percentages | easy | What is 100% of 162? | 162 | Calculate 100/100 * 162 = 1.0*162 = 162. | percentages |
9,713 | arithmetic | easy | What is 321 + 143 * 32? Remember order of operations. | 4897 | Order of operations (PEMDAS): first 143*32=4576, then 321+4576=4897. | basic_operations |
9,714 | 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 |
9,715 | arithmetic | easy | What is 834 + 459 * 61? Remember order of operations. | 28833 | Order of operations (PEMDAS): first 459*61=27999, then 834+27999=28833. | basic_operations |
9,716 | algebra | easy | Solve for x: 20x + 43 = -117 | -8 | Subtract 43 from both sides: 20x = -117-43=-160. Then divide by 20: x = -160/20 = -8. | linear_equation |
9,717 | statistics | easy | What is the mean (average) of 91, 55, 91, 51, 61? | 69.8 | Mean = sum/count. Sum = 91+55+91+51+61=349. Count=5. Mean=349/5=69.8. | mean |
9,718 | exponents | easy | What is 2^5? | 32 | 2^5 means multiply 2 by itself 5 times: 2*2*2*2*2 = 32. | exponents |
9,719 | statistics | easy | What is the mean (average) of 10, 6, 58? | 24.67 | Mean = sum/count. Sum = 10+6+58=74. Count=3. Mean=74/3=24.67. | mean |
9,720 | roots | easy | What is the square root of 144? | 12 | Find number that when squared gives 144. 12*12=144, so sqrt(144)=12. | square_roots |
9,721 | exponents | easy | What is 2^2? | 4 | 2^2 means multiply 2 by itself 2 times: 2*2 = 4. | exponents |
9,722 | percentages | easy | What is 28% of 716? | 200.48 | Calculate 28/100 * 716 = 0.28*716 = 200.48. | percentages |
9,723 | arithmetic | easy | What is 904 + 811 * 48? Remember order of operations. | 39832 | Order of operations (PEMDAS): first 811*48=38928, then 904+38928=39832. | basic_operations |
9,724 | statistics | easy | What is the mean (average) of 37, 60, 18? | 38.33 | Mean = sum/count. Sum = 37+60+18=115. Count=3. Mean=115/3=38.33. | mean |
9,725 | number_theory | medium | What is the LCM (least common multiple) of 36 and 24? | 72 | LCM = |36*24| / GCD(36,24). GCD=12, so LCM=864/12=72. | lcm |
9,726 | number_theory | medium | What is the LCM (least common multiple) of 38 and 9? | 342 | LCM = |38*9| / GCD(38,9). GCD=1, so LCM=342/1=342. | lcm |
9,727 | fractions | medium | What is 19/7 * 16/15? Give as simplified fraction. | 304/105 | Multiply numerators: 19*16=304. Denominators: 7*15=105. Simplify by gcd 1 to get 304/105. | fraction_operations |
9,728 | percentages | easy | What is 75% of 565? | 423.75 | Calculate 75/100 * 565 = 0.75*565 = 423.75. | percentages |
9,729 | roots | easy | What is the square root of 2025? | 45 | Find number that when squared gives 2025. 45*45=2025, so sqrt(2025)=45. | square_roots |
9,730 | algebra | medium | Solve for x: x^2 - 4x - 21 = 0 | x = -3, 7 | Factor: (x - -3)(x - 7) = x^2 -(4)x + -21 = 0. So x = -3 or 7. Check sum = 4, product = -21. | quadratic |
9,731 | arithmetic | easy | What is 6264 / 72? | 87 | Divide: 6264 ÷ 72 = 87 because 72*87=6264. | division |
9,732 | calculus | medium | What is the derivative of 4x^7 with respect to x? | 28x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^7] = 4*7*x^6 = 28x^6. | derivative |
9,733 | algebra | medium | Solve for x: x^2 - 11x + 28 = 0 | x = 4, 7 | Factor: (x - 4)(x - 7) = x^2 -(11)x + 28 = 0. So x = 4 or 7. Check sum = 11, product = 28. | quadratic |
9,734 | 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 |
9,735 | arithmetic | easy | What is 490 + 906 * 95? Remember order of operations. | 86560 | Order of operations (PEMDAS): first 906*95=86070, then 490+86070=86560. | basic_operations |
9,736 | percentages | easy | What is 46% of 926? | 425.96 | Calculate 46/100 * 926 = 0.46*926 = 425.96. | percentages |
9,737 | word_problems | easy | If you have 88 apples and you buy 15 more apples, how many apples do you have in total? | 103 | Add initial 88 plus bought 15: 88+15=103. | addition_word |
9,738 | number_theory | medium | What is the GCD (greatest common divisor) of 75 and 31? | 1 | Find greatest number dividing both 75 and 31. Divisors common, greatest is 1. | gcd |
9,739 | arithmetic | easy | What is 76 * 24? | 1824 | Multiply: 76 * 24 = 1824. | basic_operations |
9,740 | fractions | medium | What is 11/9 * 10/16? Give as simplified fraction. | 55/72 | Multiply numerators: 11*10=110. Denominators: 9*16=144. Simplify by gcd 2 to get 55/72. | fraction_operations |
9,741 | arithmetic | easy | What is 1 * 64? | 64 | Multiply: 1 * 64 = 64. | basic_operations |
9,742 | arithmetic | easy | What is 741 - 572? | 169 | Subtract: 741 - 572 = 169. | basic_operations |
9,743 | calculus | medium | What is the derivative of 6x^3 with respect to x? | 18x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^3] = 6*3*x^2 = 18x^2. | derivative |
9,744 | word_problems | easy | If you have 53 candies and you buy 33 more candies, how many candies do you have in total? | 86 | Add initial 53 plus bought 33: 53+33=86. | addition_word |
9,745 | 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 |
9,746 | arithmetic | easy | What is 560 - 244? | 316 | Subtract: 560 - 244 = 316. | basic_operations |
9,747 | number_theory | medium | What is the LCM (least common multiple) of 10 and 79? | 790 | LCM = |10*79| / GCD(10,79). GCD=1, so LCM=790/1=790. | lcm |
9,748 | geometry | easy | Find the area of a circle with radius 18. Use pi=3.14159, round to 2 decimals. | 1017.88 | Area = pi*r^2 = 3.14159*18^2 = 3.14159*324 = 1017.88. | circle_area |
9,749 | algebra | medium | Solve for x: x^2 + 4x - 5 = 0 | x = -5, 1 | Factor: (x - -5)(x - 1) = x^2 -(-4)x + -5 = 0. So x = -5 or 1. Check sum = -4, product = -5. | quadratic |
9,750 | roots | easy | What is the square root of 484? | 22 | Find number that when squared gives 484. 22*22=484, so sqrt(484)=22. | square_roots |
9,751 | arithmetic | easy | What is 11313 / 27? | 419 | Divide: 11313 ÷ 27 = 419 because 27*419=11313. | division |
9,752 | 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 |
9,753 | arithmetic | easy | What is 53 * 27? | 1431 | Multiply: 53 * 27 = 1431. | basic_operations |
9,754 | number_theory | medium | What is the GCD (greatest common divisor) of 15 and 96? | 3 | Find greatest number dividing both 15 and 96. Divisors common, greatest is 3. | gcd |
9,755 | arithmetic | easy | What is 611 - 421? | 190 | Subtract: 611 - 421 = 190. | basic_operations |
9,756 | percentages | easy | What is 55% of 235? | 129.25 | Calculate 55/100 * 235 = 0.55*235 = 129.25. | percentages |
9,757 | 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 |
9,758 | arithmetic | easy | What is 4 + 33 * 43? Remember order of operations. | 1423 | Order of operations (PEMDAS): first 33*43=1419, then 4+1419=1423. | basic_operations |
9,759 | percentages | easy | What is 64% of 905? | 579.2 | Calculate 64/100 * 905 = 0.64*905 = 579.2. | percentages |
9,760 | algebra | easy | Solve for x: 5x - 20 = -40 | -4 | Add 20 to both sides: 5x = -40+20=-20. Then x = -20/5 = -4. | linear_equation |
9,761 | algebra | easy | Solve for x: 14x + 39 = 193 | 11 | Subtract 39 from both sides: 14x = 193-39=154. Then divide by 14: x = 154/14 = 11. | linear_equation |
9,762 | word_problems | easy | If you have 10 books and you buy 46 more books, how many books do you have in total? | 56 | Add initial 10 plus bought 46: 10+46=56. | addition_word |
9,763 | 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 |
9,764 | arithmetic | easy | What is 5038 divided by 19? Give answer to 2 decimal places. | 265.16 | Calculate 5038/ 19 = 265.1579, rounded to 2 decimals is 265.16. | division |
9,765 | arithmetic | easy | What is 84 * 93? | 7812 | Multiply: 84 * 93 = 7812. | basic_operations |
9,766 | percentages | easy | What is 46% of 968? | 445.28 | Calculate 46/100 * 968 = 0.46*968 = 445.28. | percentages |
9,767 | exponents | easy | What is 12^5? | 248832 | 12^5 means multiply 12 by itself 5 times: 12*12*12*12*12 = 248832. | exponents |
9,768 | 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 |
9,769 | arithmetic | easy | What is 5096 divided by 11? Give answer to 2 decimal places. | 463.27 | Calculate 5096/ 11 = 463.2727, rounded to 2 decimals is 463.27. | division |
9,770 | 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 |
9,771 | 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 |
9,772 | statistics | easy | What is the mean (average) of 10, 12, 40? | 20.67 | Mean = sum/count. Sum = 10+12+40=62. Count=3. Mean=62/3=20.67. | mean |
9,773 | fractions | medium | What is 8/5 * 1/19? Give as simplified fraction. | 8/95 | Multiply numerators: 8*1=8. Denominators: 5*19=95. Simplify by gcd 1 to get 8/95. | fraction_operations |
9,774 | calculus | medium | What is the derivative of 4x^3 with respect to x? | 12x^2 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [4x^3] = 4*3*x^2 = 12x^2. | derivative |
9,775 | arithmetic | easy | What is 837 - 443? | 394 | Subtract: 837 - 443 = 394. | basic_operations |
9,776 | geometry | easy | Find the area of a rectangle with length 4 and width 31. | 124 | Area = length * width = 4*31 = 124. | rectangle_area |
9,777 | arithmetic | easy | What is 27537 / 67? | 411 | Divide: 27537 ÷ 67 = 411 because 67*411=27537. | division |
9,778 | 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 |
9,779 | number_theory | medium | What is the GCD (greatest common divisor) of 92 and 12? | 4 | Find greatest number dividing both 92 and 12. Divisors common, greatest is 4. | gcd |
9,780 | arithmetic | easy | What is 133 + 70? | 203 | Add the two numbers: 133 + 70 = 203. | basic_operations |
9,781 | geometry | easy | Find the area of a rectangle with length 70 and width 12. | 840 | Area = length * width = 70*12 = 840. | rectangle_area |
9,782 | word_problems | easy | If you have 10 pencils and you buy 9 more pencils, how many pencils do you have in total? | 19 | Add initial 10 plus bought 9: 10+9=19. | addition_word |
9,783 | geometry | easy | Find the circumference of a circle with radius 5. Use pi=3.14159, round to 2 decimals. | 31.42 | Circumference = 2*pi*r = 2*3.14159*5 = 31.42. | circle_circum |
9,784 | 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 |
9,785 | statistics | easy | What is the mean (average) of 58, 83, 81, 25, 24? | 54.2 | Mean = sum/count. Sum = 58+83+81+25+24=271. Count=5. Mean=271/5=54.2. | mean |
9,786 | arithmetic | easy | What is 62 + 2 * 78? Remember order of operations. | 218 | Order of operations (PEMDAS): first 2*78=156, then 62+156=218. | basic_operations |
9,787 | algebra | easy | Solve for x: 1x - 15 = -23 | -8 | Add 15 to both sides: 1x = -23+15=-8. Then x = -8/1 = -8. | linear_equation |
9,788 | exponents | easy | What is 12^5? | 248832 | 12^5 means multiply 12 by itself 5 times: 12*12*12*12*12 = 248832. | exponents |
9,789 | geometry | easy | Find the perimeter of a rectangle with length 93 and width 27. | 240 | Perimeter = 2*(length+width) = 2*(93+27) = 2*120 = 240. | rectangle_perim |
9,790 | exponents | easy | What is 6^3? | 216 | 6^3 means multiply 6 by itself 3 times: 6*6*6 = 216. | exponents |
9,791 | arithmetic | easy | What is 1477 / 7? | 211 | Divide: 1477 ÷ 7 = 211 because 7*211=1477. | division |
9,792 | arithmetic | easy | What is 825 + 22 * 38? Remember order of operations. | 1661 | Order of operations (PEMDAS): first 22*38=836, then 825+836=1661. | basic_operations |
9,793 | arithmetic | easy | What is 645 + 300 * 15? Remember order of operations. | 5145 | Order of operations (PEMDAS): first 300*15=4500, then 645+4500=5145. | basic_operations |
9,794 | roots | easy | What is the square root of 576? | 24 | Find number that when squared gives 576. 24*24=576, so sqrt(576)=24. | square_roots |
9,795 | roots | easy | What is the square root of 2304? | 48 | Find number that when squared gives 2304. 48*48=2304, so sqrt(2304)=48. | square_roots |
9,796 | word_problems | easy | If you have 78 books and you buy 20 more books, how many books do you have in total? | 98 | Add initial 78 plus bought 20: 78+20=98. | addition_word |
9,797 | arithmetic | easy | What is 739 + 484? | 1223 | Add the two numbers: 739 + 484 = 1223. | basic_operations |
9,798 | algebra | easy | Solve for x: 8x + 26 = 42 | 2 | Subtract 26 from both sides: 8x = 42-26=16. Then divide by 8: x = 16/8 = 2. | linear_equation |
9,799 | 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 |
9,800 | word_problems | easy | If you have 21 apples and you buy 43 more apples, how many apples do you have in total? | 64 | Add initial 21 plus bought 43: 21+43=64. | addition_word |
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