Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
25801	Solve for y	(y+1)^2-20(y+1)+64=0	${(y + 1)}^{2} - 20 (y + 1) + 64 = 0$
25802	Solve for x	3/(2x+9)=9/(3x+6)	$\frac{3}{2 x + 9} = \frac{9}{3 x + 6}$
25803	Find dy/dx	y=x/(x+y)	$y = \frac{x}{x + y}$
25804	Find the x and y Intercepts	f(x)=(x^2-3)(x+1)^2	$f (x) = (x^{2} - 3) {(x + 1)}^{2}$
25805	Solve for y	2/(y-5)+(y-1)/(2y+1)=2/(2y^2-9y-5)	$\frac{2}{y - 5} + \frac{y - 1}{2 y + 1} = \frac{2}{2 y^{2} - 9 y - 5}$
25806	Combine Like Terms	2x-3xy+4x-11xy	$2 x - 3 x y + 4 x - 11 x y$
25807	Write as a Single Logarithm	2 log base 3 of 9+ log base 3 of 7- log base 3 of 3	$2 \log_{3} (9) + \log_{3} (7) - \log_{3} (3)$
25808	Solve by Graphing	y=-1/3x+1 x=-6	$y = - \frac{1}{3} x + 1$ $x = - 6$
25809	Solve for x	4^(x+2)-5*4^x=99	$4^{x + 2} - 5 \cdot 4^{x} = 99$
25810	Integrate Using u-Substitution	integral of x square root of x^2+4 with respect to x	$\int x \sqrt{x^{2} + 4} d x$
25811	Solve for x	x^2=(x+6)(x-6)+36	$x^{2} = (x + 6) (x - 6) + 36$
25812	Simplify	fourth root of 6* cube root of 6^2	$\sqrt[4]{6} \cdot \sqrt[3]{6^{2}}$
25813	Evaluate	square root of 12- square root of 144	$\sqrt{12 - \sqrt{144}}$
25814	Simplify	square root of 5+6 cube root of 5+8 cube root of 5-5 square root of 5	$\sqrt{5} + 6 \sqrt[3]{5} + 8 \sqrt[3]{5} - 5 \sqrt{5}$
25815	Evaluate	e^(sin(pi/2))	$e^{\sin (\frac{π}{2})}$
25816	Simplify	(6w)/( square root of 25w)	$\frac{6 w}{\sqrt{25 w}}$
25817	Evaluate	(125^8)/(5^2)	$\frac{125^{8}}{5^{2}}$
25818	Evaluate the Integral	integral of (6x^2-8x+6)/(3x^3-6x^2+9x) with respect to x	$\int \frac{6 x^{2} - 8 x + 6}{3 x^{3} - 6 x^{2} + 9 x} d x$
25819	Convert to a Simplified Fraction	0.75 as a fraction	$0.75$ as a fraction
25820	Divide Using Synthetic Division	Use synthetic division to find the result when x^4-x^3-9x^2-15x-18 is divided by x+2	Use synthetic division to find the result when $x^{4} - x^{3} - 9 x^{2} - 15 x - 18$ is divided by $x + 2$
25821	Simplify	(a^2+b^2)(x^2+y^2)	$(a^{2} + b^{2}) (x^{2} + y^{2})$
25822	Find dy/dx	y=1/27(9x^2+6)^(3/2)	$y = \frac{1}{27} {(9 x^{2} + 6)}^{\frac{3}{2}}$
25823	Divide	(-21/5)÷(-3/35)	$- \frac{21}{5} \div (- \frac{3}{35})$
25824	Find dy/dx	y=(x^4)/( square root of 3x^3+3)	$y = \frac{x^{4}}{\sqrt{3 x^{3} + 3}}$
25825	Simplify	1/8 fourth root of 7+3/8 fourth root of 7	$\frac{1}{8} \sqrt[4]{7} + \frac{3}{8} \sqrt[4]{7}$
25826	Simplify	sin(x)^2+cot(x)cos(x)sin(x)	$\sin^{2} (x) + \cot (x) \cos (x) \sin (x)$
25827	Multiply	2/34 1/26	$\frac{2}{3} \cdot 4 \frac{1}{2} \cdot 6$
25828	Simplify the Radical Expression	(27m^12n^3)^(1/3)	${(27 m^{12} n^{3})}^{\frac{1}{3}}$
25829	Multiply	x(-x^2-5)	$x (- x^{2} - 5)$
25830	Solve for x	4(x^2-8)=84	$4 (x^{2} - 8) = 84$
25831	Find the Derivative - d/dx	d/(dx)( natural log of x)^2	$\frac{d}{d x} \ln^{2} (x)$
25832	Simplify	((x^2-5x-6)/(x-9)*(6x^2+24x)/(-x-1))÷((x^2-2x-24)/-2)	$\frac{x^{2} - 5 x - 6}{x - 9} \cdot \frac{6 x^{2} + 24 x}{- x - 1} \div \frac{x^{2} - 2 x - 24}{- 2}$
25833	Simplify	((24x^-3)/(12x^-2))^2	${(\frac{24 x^{- 3}}{12 x^{- 2}})}^{2}$
25834	Convert to a Decimal	170deg	$170$ degrees
25835	Find the Derivative - d/dx	(2x+5)/3	$\frac{2 x + 5}{3}$
25836	Simplify	(6x)/7+4-x	$\frac{6 x}{7} + 4 - x$
25837	Find the Degree, Leading Term, and Leading Coefficient	f(x) = square root of 2x^5-7x^2-8x	$f (x) = \sqrt{2} x^{5} - 7 x^{2} - 8 x$
25838	Simplify	(x^2-7x)/(10x^3)*(5x+15)/(x^2-4x-21)	$\frac{x^{2} - 7 x}{10 x^{3}} \cdot \frac{5 x + 15}{x^{2} - 4 x - 21}$
25839	Graph	Graph 5x+3y=15	Graph $5 x + 3 y = 15$
25840	Simplify the Radical Expression	(3 fifth root of 64x^10y^3)/( fifth root of 2x^3y^-7)	$\frac{3 \sqrt[5]{64 x^{10} y^{3}}}{\sqrt[5]{2 x^{3} y^{- 7}}}$
25841	Solve for a	(5^9)/(5^3)=5^a	$\frac{5^{9}}{5^{3}} = 5^{a}$
25842	Solve for x	square root of -9x+28=-x+4	$\sqrt{- 9 x + 28} = - x + 4$
25843	Simplify	(x/y+1)/(1-y/x)	$\frac{\frac{x}{y} + 1}{1 - \frac{y}{x}}$
25844	Solve for x	-3=3/(x-2)	$- 3 = \frac{3}{x - 2}$
25845	Solve for y	-65=-y^3+2	$- 65 = - y^{3} + 2$
25846	Evaluate the Integral	integral of (16/(x^6)-9/(x^-3)+4/(x^(1/3))) with respect to x	$\int (\frac{16}{x^{6}} - \frac{9}{x^{- 3}} + \frac{4}{x^{\frac{1}{3}}}) d x$
25847	Combine Like Terms	-2x^2+x+5x^3+4x+2x^2	$- 2 x^{2} + x + 5 x^{3} + 4 x + 2 x^{2}$
25848	Solve for x	3x^2-2x-2=-1	$3 x^{2} - 2 x - 2 = - 1$
25849	Describe the Transformation	f(x)=-x^3+2	$f (x) = - x^{3} + 2$
25850	Factor	(x^2+3x+2)/(x(x+2)^3(x+1))-1/(x(x+2)(x+5))	$\frac{x^{2} + 3 x + 2}{x {(x + 2)}^{3} (x + 1)} - \frac{1}{x (x + 2) (x + 5)}$
25851	Graph	x+y>0 x+y+5<0	$x + y > 0$ $x + y + 5 < 0$
25852	Write the Fraction in Simplest Form	((5s^4q^-1)^-4)/(5s^-3q^4)	$\frac{{(5 s^{4} q^{- 1})}^{- 4}}{5 s^{- 3} q^{4}}$
25853	Simplify	(x^3-3x^2-4x+12)/(x^3+7x^2-4x-28)	$\frac{x^{3} - 3 x^{2} - 4 x + 12}{x^{3} + 7 x^{2} - 4 x - 28}$
25854	Find the Domain	(2-6/x)/(1-4/x)	$\frac{2 - \frac{6}{x}}{1 - \frac{4}{x}}$
25855	Find the Domain	(x^3-y^3)/(x+y)*(x^2-y^2)/(x^2+xy+y^2)	$\frac{x^{3} - y^{3}}{x + y} \cdot \frac{x^{2} - y^{2}}{x^{2} + x y + y^{2}}$
25856	Simplify	(26e^4)/(13e)	$\frac{26 e^{4}}{13 e}$
25857	Simplify	(x^2+1/(x^2))^2	${(x^{2} + \frac{1}{x^{2}})}^{2}$
25858	Find the Cotangent Given the Point	(- square root of 3,1)	$(- \sqrt{3}, 1)$
25859	Solve for θ in Degrees	2sin(theta)^2-3sin(theta)+1=0	$2 \sin^{2} (θ) - 3 \sin (θ) + 1 = 0$
25860	Find the Excluded Values	((x^2-10x+9)/(3x))÷((x^2-7x-18)/(x^2+2x))	$\frac{x^{2} - 10 x + 9}{3 x} \div \frac{x^{2} - 7 x - 18}{x^{2} + 2 x}$
25861	Simplify	(3n^(1/4))(2n^(-1/4))	$(3 n^{\frac{1}{4}}) (2 n^{- \frac{1}{4}})$
25862	Evaluate the Integral	integral of (-6x^-2+4x^-3+3) with respect to x	$\int (- 6 x^{- 2} + 4 x^{- 3} + 3) d x$
25863	Solve for d	80 = square root of 64d	$80 = \sqrt{64 d}$
25864	Solve the Function Operation	f(x)=3x-1 g(x)=x^2-x Find (f/g)(x)	$f (x) = 3 x - 1$ $g (x) = x^{2} - x$ Find $(\frac{f}{g}) (x)$
25865	Solve the System of Equations	y=-x+3 y=2x^2-3x+4	$y = - x + 3$ $y = 2 x^{2} - 3 x + 4$
25866	Find the Product	(a+5)*2	$(a + 5) \cdot 2$
25867	Evaluate	(5 3/4)(1/3)(2)	$(5 \frac{3}{4}) (\frac{1}{3}) (2)$
25868	Solve the Inequality for x	square root of x^2-6x+9+2<=9	$\sqrt{x^{2} - 6 x + 9} + 2 \leq 9$
25869	Simplify	a^-4*8^14	$a^{- 4} \cdot 8^{14}$
25870	Simplify	cube root of 1+ square root of -100-3 square root of 16-2 square root of -49	$\sqrt[3]{1} + \sqrt{- 100} - 3 \sqrt{16} - 2 \sqrt{- 49}$
25871	Find the LCD	1/(3x) , 2/(7x) , (x+2)/(14x)	$\frac{1}{3 x}$ , $\frac{2}{7 x}$ , $\frac{x + 2}{14 x}$
25872	Graph	3x-6y<12 4x+5y<=-8	$3 x - 6 y < 12$ $4 x + 5 y \leq - 8$
25873	Find Amplitude, Period, and Phase Shift	y=4-3sin(2/5(x+1))	$y = 4 - 3 \sin (\frac{2}{5} (x + 1))$
25874	Find the Concavity	1/10x^5-12x^3	$\frac{1}{10} x^{5} - 12 x^{3}$
25875	Solve for y	-2y^2+4y+1=-6y^2	$- 2 y^{2} + 4 y + 1 = - 6 y^{2}$
25876	Find the Roots (Zeros)	xe^x+2e^x	$x e^{x} + 2 e^{x}$
25877	Simplify the Radical Expression	(3x)^3	${(3 x)}^{3}$
25878	Simplify	1/4*6	$\frac{1}{4} \cdot 6$
25879	Solve for m	3 square root of 16-m=15	$3 \sqrt{16 - m} = 15$
25880	Simplify	5^-1-2^-3	$5^{- 1} - 2^{- 3}$
25881	Solve for x	(csc(x)^2)/4=4sin(x)^2	$\frac{\csc^{2} (x)}{4} = 4 \sin^{2} (x)$
25882	Solve for b	10+7x=4x+2+bx	$10 + 7 x = 4 x + 2 + b x$
25883	Find the Asymptotes	(x-4)/(2(x-1)(x-4))	$\frac{x - 4}{2 (x - 1) (x - 4)}$
25884	Find the Exact Value	limit as x approaches infinity of cos(x)	$lim_{x \to \infty} \cos (x)$
25885	Simplify the Radical Expression	(4 square root of 20)(-6 square root of -6)	$(4 \sqrt{20}) (- 6 \sqrt{- 6})$
25886	Solve Using the Quadratic Formula	h=320-16t^2	$h = 320 - 16 t^{2}$
25887	Subtract	(a^2+b^2)/(a^3+b^3)-1/(a+b)	$\frac{a^{2} + b^{2}}{a^{3} + b^{3}} - \frac{1}{a + b}$
25888	Find the Quotient	(9-x^2)/(3x)	$\frac{9 - x^{2}}{3 x}$
25889	Graph	p(x)=x^2(2x-5)^2(x+2)	$p (x) = x^{2} {(2 x - 5)}^{2} (x + 2)$
25890	Find the Product	(x^2+3x+1)(x^2+x+2)	$(x^{2} + 3 x + 1) (x^{2} + x + 2)$
25891	Solve for c	-15=-2c^2-7	$- 15 = - 2 c^{2} - 7$
25892	Simplify	1/(4 square root of 6+ square root of 3)	$\frac{1}{4 \sqrt{6} + \sqrt{3}}$
25893	Find the Domain and Range	f(x)=3(1/4)^(x-2)+1	$f (x) = 3 {(\frac{1}{4})}^{x - 2} + 1$
25894	Find the Concavity	-1/3x^3-7x^2	$- \frac{1}{3} x^{3} - 7 x^{2}$
25895	Add	2/4+2	$\frac{2}{4} + 2$
25896	Find the Exact Value	tan(pi/6)-cos(pi/6)	$\tan (\frac{π}{6}) - \cos (\frac{π}{6})$
25897	Solve the Inequality for x	2/3x-2>=0	$\frac{2}{3} x - 2 \geq 0$
25898	Evaluate	((260)÷30)(24+2)	$(2 \cdot 60 \div 30) \cdot (24 + 2)$
25899	Simplify	((-x-6)/(x+9)*(x+10)/(-2x-18))÷((x^2+16x+60)/(x^2+18x+81))	$\frac{- x - 6}{x + 9} \cdot \frac{x + 10}{- 2 x - 18} \div \frac{x^{2} + 16 x + 60}{x^{2} + 18 x + 81}$
25900	Find the Domain	(a-b)/(b-a)	$\frac{a - b}{b - a}$