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 |
|---|---|---|---|---|---|---|
601 | arithmetic | easy | What is 555 + 62 * 9? Remember order of operations. | 1113 | Order of operations (PEMDAS): first 62*9=558, then 555+558=1113. | basic_operations |
602 | 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 |
603 | algebra | easy | Solve for x: 14x - 3 = 53 | 4 | Add 3 to both sides: 14x = 53+3=56. Then x = 56/14 = 4. | linear_equation |
604 | word_problems | easy | If you have 53 apples and you buy 25 more apples, how many apples do you have in total? | 78 | Add initial 53 plus bought 25: 53+25=78. | addition_word |
605 | algebra | easy | Solve for x: 12x - 35 = -143 | -9 | Add 35 to both sides: 12x = -143+35=-108. Then x = -108/12 = -9. | linear_equation |
606 | calculus | medium | What is the derivative of 3x^6 with respect to x? | 18x^5 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [3x^6] = 3*6*x^5 = 18x^5. | derivative |
607 | percentages | easy | What is 1% of 775? | 7.75 | Calculate 1/100 * 775 = 0.01*775 = 7.75. | percentages |
608 | arithmetic | easy | What is 70 * 55? | 3850 | Multiply: 70 * 55 = 3850. | basic_operations |
609 | percentages | easy | What is 32% of 472? | 151.04 | Calculate 32/100 * 472 = 0.32*472 = 151.04. | percentages |
610 | number_theory | medium | What is the GCD (greatest common divisor) of 20 and 36? | 4 | Find greatest number dividing both 20 and 36. Divisors common, greatest is 4. | gcd |
611 | arithmetic | easy | What is 2490 / 6? | 415 | Divide: 2490 ÷ 6 = 415 because 6*415=2490. | division |
612 | percentages | easy | What is 27% of 69? | 18.63 | Calculate 27/100 * 69 = 0.27*69 = 18.63. | percentages |
613 | arithmetic | easy | What is 1404 / 78? | 18 | Divide: 1404 ÷ 78 = 18 because 78*18=1404. | division |
614 | percentages | easy | What is 95% of 46? | 43.7 | Calculate 95/100 * 46 = 0.95*46 = 43.7. | percentages |
615 | 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 |
616 | fractions | medium | What is 2/6 + 17/11? Give as simplified fraction. | 62/33 | Common denominator 6*11=66. 2/6=22/66, 17/11=102/66. Sum = 124/66 = 62/33 simplified. | fraction_operations |
617 | roots | easy | What is the square root of 1369? | 37 | Find number that when squared gives 1369. 37*37=1369, so sqrt(1369)=37. | square_roots |
618 | 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 |
619 | exponents | easy | What is 4^3? | 64 | 4^3 means multiply 4 by itself 3 times: 4*4*4 = 64. | exponents |
620 | 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 |
621 | geometry | easy | Find the area of a rectangle with length 72 and width 76. | 5472 | Area = length * width = 72*76 = 5472. | rectangle_area |
622 | algebra | medium | Solve for x: x^2 - 13x + 30 = 0 | x = 10, 3 | Factor: (x - 10)(x - 3) = x^2 -(13)x + 30 = 0. So x = 10 or 3. Check sum = 13, product = 30. | quadratic |
623 | statistics | easy | What is the mean (average) of 45, 83, 86? | 71.33 | Mean = sum/count. Sum = 45+83+86=214. Count=3. Mean=214/3=71.33. | mean |
624 | 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 |
625 | 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 |
626 | 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 |
627 | algebra | easy | Solve for x: 10x - 2 = -92 | -9 | Add 2 to both sides: 10x = -92+2=-90. Then x = -90/10 = -9. | linear_equation |
628 | statistics | easy | What is the mean (average) of 29, 39, 91? | 53 | Mean = sum/count. Sum = 29+39+91=159. Count=3. Mean=159/3=53.0. | mean |
629 | algebra | easy | Solve for x: 15x - 43 = 182 | 15 | Add 43 to both sides: 15x = 182+43=225. Then x = 225/15 = 15. | linear_equation |
630 | 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 |
631 | algebra | easy | Solve for x: 13x - 19 = -71 | -4 | Add 19 to both sides: 13x = -71+19=-52. Then x = -52/13 = -4. | linear_equation |
632 | fractions | medium | What is 11/4 + 15/13? Give as simplified fraction. | 203/52 | Common denominator 4*13=52. 11/4=143/52, 15/13=60/52. Sum = 203/52 = 203/52 simplified. | fraction_operations |
633 | fractions | medium | What is 2/10 + 13/3? Give as simplified fraction. | 68/15 | Common denominator 10*3=30. 2/10=6/30, 13/3=130/30. Sum = 136/30 = 68/15 simplified. | fraction_operations |
634 | fractions | medium | What is 19/19 + 7/17? Give as simplified fraction. | 24/17 | Common denominator 19*17=323. 19/19=323/323, 7/17=133/323. Sum = 456/323 = 24/17 simplified. | fraction_operations |
635 | roots | easy | What is the square root of 400? | 20 | Find number that when squared gives 400. 20*20=400, so sqrt(400)=20. | square_roots |
636 | arithmetic | easy | What is 16 * 96? | 1536 | Multiply: 16 * 96 = 1536. | basic_operations |
637 | statistics | easy | What is the mean (average) of 90, 78, 91? | 86.33 | Mean = sum/count. Sum = 90+78+91=259. Count=3. Mean=259/3=86.33. | mean |
638 | fractions | medium | What is 13/9 - 18/12? Give as simplified fraction. | -1/18 | Common denominator 108. Numerator 156-162=-6. So -6/108 simplifies to -1/18. | fraction_operations |
639 | calculus | medium | What is the derivative of 9x^5 with respect to x? | 45x^4 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^5] = 9*5*x^4 = 45x^4. | derivative |
640 | number_theory | medium | What is the LCM (least common multiple) of 40 and 34? | 680 | LCM = |40*34| / GCD(40,34). GCD=2, so LCM=1360/2=680. | lcm |
641 | statistics | easy | What is the mean (average) of 13, 93, 61, 98? | 66.25 | Mean = sum/count. Sum = 13+93+61+98=265. Count=4. Mean=265/4=66.25. | mean |
642 | roots | easy | What is the square root of 196? | 14 | Find number that when squared gives 196. 14*14=196, so sqrt(196)=14. | square_roots |
643 | number_theory | medium | What is the GCD (greatest common divisor) of 41 and 53? | 1 | Find greatest number dividing both 41 and 53. Divisors common, greatest is 1. | gcd |
644 | percentages | easy | What is 95% of 150? | 142.5 | Calculate 95/100 * 150 = 0.95*150 = 142.5. | percentages |
645 | arithmetic | easy | What is 93 + 54 * 75? Remember order of operations. | 4143 | Order of operations (PEMDAS): first 54*75=4050, then 93+4050=4143. | basic_operations |
646 | fractions | medium | What is 11/9 + 13/20? Give as simplified fraction. | 337/180 | Common denominator 9*20=180. 11/9=220/180, 13/20=117/180. Sum = 337/180 = 337/180 simplified. | fraction_operations |
647 | statistics | easy | What is the mean (average) of 84, 88, 44, 33, 98? | 69.4 | Mean = sum/count. Sum = 84+88+44+33+98=347. Count=5. Mean=347/5=69.4. | mean |
648 | statistics | easy | What is the mean (average) of 83, 95, 63, 59, 22? | 64.4 | Mean = sum/count. Sum = 83+95+63+59+22=322. Count=5. Mean=322/5=64.4. | mean |
649 | number_theory | medium | What is the LCM (least common multiple) of 22 and 18? | 198 | LCM = |22*18| / GCD(22,18). GCD=2, so LCM=396/2=198. | lcm |
650 | algebra | medium | Solve for x: x^2 - 17x + 70 = 0 | x = 7, 10 | Factor: (x - 7)(x - 10) = x^2 -(17)x + 70 = 0. So x = 7 or 10. Check sum = 17, product = 70. | quadratic |
651 | arithmetic | easy | What is 7 + 98 * 10? Remember order of operations. | 987 | Order of operations (PEMDAS): first 98*10=980, then 7+980=987. | basic_operations |
652 | algebra | easy | Solve for x: 8x - 42 = -130 | -11 | Add 42 to both sides: 8x = -130+42=-88. Then x = -88/8 = -11. | linear_equation |
653 | arithmetic | easy | What is 518 + 224 * 59? Remember order of operations. | 13734 | Order of operations (PEMDAS): first 224*59=13216, then 518+13216=13734. | basic_operations |
654 | statistics | easy | What is the mean (average) of 63, 3, 1, 69, 71? | 41.4 | Mean = sum/count. Sum = 63+3+1+69+71=207. Count=5. Mean=207/5=41.4. | mean |
655 | 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 |
656 | arithmetic | easy | What is 37 * 3? | 111 | Multiply: 37 * 3 = 111. | basic_operations |
657 | 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 |
658 | algebra | medium | Solve for x: x^2 + 14x + 49 = 0 | x = -7 | Factor as (x - -7)^2 = 0, so root is -7 (double root). Sum of roots = -14, product = 49. | quadratic |
659 | algebra | easy | Solve for x: 8x - 26 = 126 | 19 | Add 26 to both sides: 8x = 126+26=152. Then x = 152/8 = 19. | linear_equation |
660 | 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 |
661 | calculus | medium | What is the derivative of 6x^2 with respect to x? | 12x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [6x^2] = 6*2*x^1 = 12x. | derivative |
662 | 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 |
663 | percentages | easy | What is 90% of 232? | 208.8 | Calculate 90/100 * 232 = 0.9*232 = 208.8. | percentages |
664 | exponents | easy | What is 12^2? | 144 | 12^2 means multiply 12 by itself 2 times: 12*12 = 144. | exponents |
665 | arithmetic | easy | What is 416 - 96? | 320 | Subtract: 416 - 96 = 320. | basic_operations |
666 | arithmetic | easy | What is 653 + 10 * 90? Remember order of operations. | 1553 | Order of operations (PEMDAS): first 10*90=900, then 653+900=1553. | basic_operations |
667 | 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 |
668 | roots | easy | What is the square root of 1369? | 37 | Find number that when squared gives 1369. 37*37=1369, so sqrt(1369)=37. | square_roots |
669 | arithmetic | easy | What is 32499 / 69? | 471 | Divide: 32499 ÷ 69 = 471 because 69*471=32499. | division |
670 | fractions | medium | What is 19/17 + 9/3? Give as simplified fraction. | 70/17 | Common denominator 17*3=51. 19/17=57/51, 9/3=153/51. Sum = 210/51 = 70/17 simplified. | fraction_operations |
671 | geometry | easy | Find the area of a triangle with base 73 and height 85. | 3102.5 | Area = 0.5*base*height = 0.5*73*85 = 3102.5. | triangle_area |
672 | arithmetic | easy | What is 184 + 952? | 1136 | Add the two numbers: 184 + 952 = 1136. | basic_operations |
673 | algebra | easy | Solve for x: 13x - 41 = -54 | -1 | Add 41 to both sides: 13x = -54+41=-13. Then x = -13/13 = -1. | linear_equation |
674 | algebra | medium | Solve for x: x^2 - 5x - 24 = 0 | x = 8, -3 | Factor: (x - 8)(x - -3) = x^2 -(5)x + -24 = 0. So x = 8 or -3. Check sum = 5, product = -24. | quadratic |
675 | calculus | medium | What is the derivative of 9x^7 with respect to x? | 63x^6 | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [9x^7] = 9*7*x^6 = 63x^6. | derivative |
676 | roots | easy | What is the square root of 625? | 25 | Find number that when squared gives 625. 25*25=625, so sqrt(625)=25. | square_roots |
677 | algebra | easy | Solve for x: 3x + 14 = 20 | 2 | Subtract 14 from both sides: 3x = 20-14=6. Then divide by 3: x = 6/3 = 2. | linear_equation |
678 | arithmetic | easy | What is 101 + 448? | 549 | Add the two numbers: 101 + 448 = 549. | basic_operations |
679 | 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 |
680 | arithmetic | easy | What is 650 + 280 * 58? Remember order of operations. | 16890 | Order of operations (PEMDAS): first 280*58=16240, then 650+16240=16890. | basic_operations |
681 | 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 |
682 | calculus | medium | What is the derivative of 10x^2 with respect to x? | 20x | Power rule: d/dx [x^n] = n*x^(n-1). So d/dx [10x^2] = 10*2*x^1 = 20x. | derivative |
683 | exponents | easy | What is 5^2? | 25 | 5^2 means multiply 5 by itself 2 times: 5*5 = 25. | exponents |
684 | arithmetic | easy | What is 82 * 20? | 1640 | Multiply: 82 * 20 = 1640. | basic_operations |
685 | 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 |
686 | arithmetic | easy | What is 44 divided by 13? Give answer to 2 decimal places. | 3.38 | Calculate 44/ 13 = 3.3846, rounded to 2 decimals is 3.38. | division |
687 | number_theory | medium | What is the GCD (greatest common divisor) of 98 and 35? | 7 | Find greatest number dividing both 98 and 35. Divisors common, greatest is 7. | gcd |
688 | algebra | easy | Solve for x: 3x - 27 = -6 | 7 | Add 27 to both sides: 3x = -6+27=21. Then x = 21/3 = 7. | linear_equation |
689 | word_problems | easy | If you have 76 pencils and you buy 36 more pencils, how many pencils do you have in total? | 112 | Add initial 76 plus bought 36: 76+36=112. | addition_word |
690 | 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 |
691 | arithmetic | easy | What is 92 + 363? | 455 | Add the two numbers: 92 + 363 = 455. | basic_operations |
692 | roots | easy | What is the square root of 625? | 25 | Find number that when squared gives 625. 25*25=625, so sqrt(625)=25. | square_roots |
693 | arithmetic | easy | What is 299 + 424? | 723 | Add the two numbers: 299 + 424 = 723. | basic_operations |
694 | percentages | easy | What is 74% of 534? | 395.16 | Calculate 74/100 * 534 = 0.74*534 = 395.16. | percentages |
695 | algebra | medium | Solve for x: x^2 + 3x - 10 = 0 | x = 2, -5 | Factor: (x - 2)(x - -5) = x^2 -(-3)x + -10 = 0. So x = 2 or -5. Check sum = -3, product = -10. | quadratic |
696 | algebra | easy | Solve for x: 9x - 12 = -39 | -3 | Add 12 to both sides: 9x = -39+12=-27. Then x = -27/9 = -3. | linear_equation |
697 | statistics | easy | What is the mean (average) of 9, 22, 56? | 29 | Mean = sum/count. Sum = 9+22+56=87. Count=3. Mean=87/3=29.0. | mean |
698 | geometry | easy | Find the circumference of a circle with radius 20. Use pi=3.14159, round to 2 decimals. | 125.66 | Circumference = 2*pi*r = 2*3.14159*20 = 125.66. | circle_circum |
699 | statistics | easy | What is the mean (average) of 47, 33, 32? | 37.33 | Mean = sum/count. Sum = 47+33+32=112. Count=3. Mean=112/3=37.33. | mean |
700 | statistics | easy | What is the mean (average) of 79, 26, 59, 14, 18? | 39.2 | Mean = sum/count. Sum = 79+26+59+14+18=196. Count=5. Mean=196/5=39.2. | mean |
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