Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
21001	Simplify	((6x+6)/7)÷((4x+4)/(x-2))	$\frac{6 x + 6}{7} \div \frac{4 x + 4}{x - 2}$
21002	Rationalize the Denominator	(1- square root of 2)/( square root of 2)	$\frac{1 - \sqrt{2}}{\sqrt{2}}$
21003	Find All Complex Solutions	3+ square root of 3x+1=x	$3 + \sqrt{3 x + 1} = x$
21004	Evaluate the Summation	sum from k=0 to 5 of 2k+2k^2	$\sum_{k = 0}^{5} 2 k + 2 k^{2}$
21005	Find the Second Derivative	-xy+x=-4	$- x y + x = - 4$
21006	Find the Inverse	f(x)=(1-2x)/(5x-1)	$f (x) = \frac{1 - 2 x}{5 x - 1}$
21007	Find the Vertex	-8y^2+2=x	$- 8 y^{2} + 2 = x$
21008	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (2,-1) and has a slope of 3/2 ?	What is the equation of the line that passes through the point $(2, - 1)$ and has a slope of $\frac{3}{2}$ ?
21009	Solve the Inequality for x	2x^2+8<=16x-6	$2 x^{2} + 8 \leq 16 x - 6$
21010	Simplify	3 square root of 3+3 square root of 5+ square root of 5	$3 \sqrt{3} + 3 \sqrt{5} + \sqrt{5}$
21011	Find the Domain	((x-b)^2)/((x+b)^2)	$\frac{{(x - b)}^{2}}{{(x + b)}^{2}}$
21012	Evaluate	f(-1)+f(4)=-11	$f (- 1) + f (4) = - 11$
21013	Find the Inverse	f(x)=x^2-3/4	$f (x) = x^{2} - \frac{3}{4}$
21014	Solve the Inequality for x	-3x^2+57x>9x+189	$- 3 x^{2} + 57 x > 9 x + 189$
21015	Solve for x in Radians	3sin(x)^2-sin(x)-1=0	$3 \sin^{2} (x) - \sin (x) - 1 = 0$
21016	Multiply	( square root of 3+ square root of 6)*( square root of 2-2)	$(\sqrt{3} + \sqrt{6}) \cdot (\sqrt{2} - 2)$
21017	Solve for v	19=-8v-4v-17	$19 = - 8 v - 4 v - 17$
21018	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^4+2x^3-5x^2-6x-2 is divided by x+1	Use synthetic division to find the result when $3 x^{4} + 2 x^{3} - 5 x^{2} - 6 x - 2$ is divided by $x + 1$
21019	Evaluate	(y-1)/(y+3)=(y+1)/(y+10)	$\frac{y - 1}{y + 3} = \frac{y + 1}{y + 10}$
21020	Convert to Radical Form	(3/(y^5))^(1/2)	${(\frac{3}{y^{5}})}^{\frac{1}{2}}$
21021	Find the Reference Angle	tan(-pi/3)	$\tan (- \frac{π}{3})$
21022	Solve for z	39-4z=28-8z+3	$39 - 4 z = 28 - 8 z + 3$
21023	Simplify	(6^3x)/(6x^5)	$\frac{6^{3} x}{6 x^{5}}$
21024	Find the Derivative - d/dx	(x^2+1)^(2^x)	${(x^{2} + 1)}^{2^{x}}$
21025	Simplify	(49^(7/2))/(49^(3/2))	$\frac{49^{\frac{7}{2}}}{49^{\frac{3}{2}}}$
21026	Find the Slope	Find the slope of the line passing through the points (-7,-7) and (-3,6)	Find the slope of the line passing through the points $(- 7, - 7)$ and $(- 3, 6)$
21027	Find dy/dx	e^(x/y)=x	$e^{\frac{x}{y}} = x$
21028	Evaluate Using the Given Value	Evaluate 0.3y+y/z when y=10 and z=5	Evaluate $0.3 y + \frac{y}{z}$ when $y = 10$ and $z = 5$
21029	Evaluate	(1/2)/(2pi)	$\frac{\frac{1}{2}}{2 π}$
21030	Rationalize the Denominator	( square root of 6x)/( square root of 3)	$\frac{\sqrt{6 x}}{\sqrt{3}}$
21031	Simplify	7/(9x^2)*6/(7x)	$\frac{7}{9 x^{2}} \cdot \frac{6}{7 x}$
21032	Solve the System of Equations	-4x+2y=-6 and -x+8y=21	$- 4 x + 2 y = - 6$ and $- x + 8 y = 21$
21033	Solve for x	(x+2)^(1/3)-2=0	${(x + 2)}^{\frac{1}{3}} - 2 = 0$
21034	Solve for s	s-8>9s+8	$s - 8 > 9 s + 8$
21035	Simplify	(10^-5)^3(9.9*10^-12)^2	${(10^{- 5})}^{3} {(9.9 \cdot 10^{- 12})}^{2}$
21036	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (4 natural log of 2x+1+x^3)/(5x^2+3x)	$lim_{x \to 0} \frac{4 \ln (2 x + 1) + x^{3}}{5 x^{2} + 3 x}$
21037	Graph	1>x-7 or 3	$1 > x - 7$ or $3$
21038	Solve for x	-6/x-3/(4x)=3/4	$\frac{- 6}{x} - \frac{3}{4 x} = \frac{3}{4}$
21039	Simplify the Radical Expression	a^(2/5)*a^-3	$a^{\frac{2}{5}} \cdot a^{- 3}$
21040	Simplify	( fourth root of 243x^12y^20)/( fourth root of 3x^4y^16)	$\frac{\sqrt[4]{243 x^{12} y^{20}}}{\sqrt[4]{3 x^{4} y^{16}}}$
21041	Simplify	(5a)/(3a^2)+6/(3a^2)+(4a)/(3a^2)	$\frac{5 a}{3 a^{2}} + \frac{6}{3 a^{2}} + \frac{4 a}{3 a^{2}}$
21042	Simplify	((a^2)/(12b))÷((ab)/36)	$\frac{a^{2}}{12 b} \div \frac{a b}{36}$
21043	Find Amplitude, Period, and Phase Shift	y=4/5cos((pix)/2)	$y = \frac{4}{5} \cos (\frac{π x}{2})$
21044	Evaluate Using the Given Value	(p^2m)÷4 ; use m=4 ; and p=7	$p^{2} m \div 4$ ; use $m = 4$ ; and $p = 7$
21045	Convert to a Decimal	-420deg	$- 420$ degrees
21046	Solve for x	x/9=(24-x)/18	$\frac{x}{9} = \frac{24 - x}{18}$
21047	Simplify	(14x^2+8)+(4x-2)-(12x^2-1)	$(14 x^{2} + 8) + (4 x - 2) - (12 x^{2} - 1)$
21048	Solve for z in Radians	z=3(cos(pi/6)+isin(pi/6))	$z = 3 (\cos (\frac{π}{6}) + i \sin (\frac{π}{6}))$
21049	Simplify	(-7mn+8mn^2-8m^2n^2)+(10m^2n+2m^2n^2-3mn)	$(- 7 m n + 8 m n^{2} - 8 m^{2} n^{2}) + (10 m^{2} n + 2 m^{2} n^{2} - 3 m n)$
21050	Simplify	cube root of -40a^7+2a^2* cube root of 135a^4	$\sqrt[3]{- 40 a^{7}} + 2 a^{2} \cdot \sqrt[3]{135 a^{4}}$
21051	Evaluate	(tan(pi/4))/2-1/(sec(pi/3))	$\frac{\tan (\frac{π}{4})}{2} - \frac{1}{\sec (\frac{π}{3})}$
21052	Graph	2x-3y<12 y<=-x+6	$2 x - 3 y < 12$ $y \leq - x + 6$
21053	Solve for x	5/4x-2=-1/4x+19	$\frac{5}{4} x - 2 = - \frac{1}{4} x + 19$
21054	Solve the Rational Equation for x	(5-x)^(1/2)-2x=0	${(5 - x)}^{\frac{1}{2}} - 2 x = 0$
21055	Simplify	(x^2-7x+6)+(x^2+6x)	$(x^{2} - 7 x + 6) + (x^{2} + 6 x)$
21056	Find the x and y Intercepts	f(x)=-3(x^2-7)(x-1)(x-4)^2(x-1)(x^2+1)	$f (x) = - 3 (x^{2} - 7) (x - 1) {(x - 4)}^{2} (x - 1) (x^{2} + 1)$
21057	Find Amplitude, Period, and Phase Shift	f(x)=2-sin(x/4)	$f (x) = 2 - \sin (\frac{x}{4})$
21058	Identify the Zeros and Their Multiplicities	f(x)=4x^3-4x^2+x	$f (x) = 4 x^{3} - 4 x^{2} + x$
21059	Solve the System of Equations	x^2+4y^2=100 4y-x^2=-20	$x^{2} + 4 y^{2} = 100$ $4 y - x^{2} = - 20$
21060	Find the Distance Between Two Points	(-3,5) and (-3,2)	$(- 3, 5)$ and $(- 3, 2)$
21061	Factor	10x^4+55x^3y+6xy+33y^2	$10 x^{4} + 55 x^{3} y + 6 x y + 33 y^{2}$
21062	Simplify	fourth root of 16x^8y^4	$\sqrt[4]{16 x^{8}} y^{4}$
21063	Find the Concavity	f(x)=-1/10x^5+2x^4-12x^3	$f (x) = - \frac{1}{10} x^{5} + 2 x^{4} - 12 x^{3}$
21064	Simplify	(4 square root of 3-2 square root of 2)/(3 square root of 12)	$\frac{4 \sqrt{3} - 2 \sqrt{2}}{3 \sqrt{12}}$
21065	Solve the Inequality for x	-3x^2+84<=-9x	$- 3 x^{2} + 84 \leq - 9 x$
21066	Convert to a Decimal	sin(135)deg	$\sin (135)$ degrees
21067	Write in Standard Form	(7x^2-2)-(2x^2-5x+3)	$(7 x^{2} - 2) - (2 x^{2} - 5 x + 3)$
21068	Find the Derivative - d/dx	cube root of x-3x^3	$\sqrt[3]{x} - 3 x^{3}$
21069	Find the Inverse	A(b)=10*(b+7)/2	$A (b) = 10 \cdot \frac{b + 7}{2}$
21070	Solve the Inequality for x	-7-(3x+2)<-8(x+1)	$- 7 - (3 x + 2) < - 8 (x + 1)$
21071	Evaluate the Limit	limit as x approaches infinity of square root of x^2+7x+1-x	$lim_{x \to \infty} \sqrt{x^{2} + 7 x + 1} - x$
21072	Graph	y-x+2y<=1	$y - x + 2 y \leq 1$
21073	Find f(g(x))	f(x)=x^2+2x-5 g(x)=x+1	$f (x) = x^{2} + 2 x - 5$ $g (x) = x + 1$
21074	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (arcsin(x)-x)/(arctan(x)-x)	$lim_{x \to 0} \frac{\arcsin (x) - x}{\arctan (x) - x}$
21075	Graph	p(x):\|1+2x\|=7 q(x):\|x-3\|=1-x	$p (x) : \| 1 + 2 x \| = 7$ $q (x) : \| x - 3 \| = 1 - x$
21076	Solve for x	square root of 7x+2- square root of 3x+6=6	$\sqrt{7 x + 2} - \sqrt{3 x + 6} = 6$
21077	Solve for x	15x^2=-x^2-1	$15 x^{2} = - x^{2} - 1$
21078	Find the Roots (Zeros)	4x^5-100x^(13/3)=0	$4 x^{5} - 100 x^{\frac{13}{3}} = 0$
21079	Evaluate the Limit	limit as x approaches 0 from the right of \|x\|	$lim_{x \to 0^{+}} \| x \|$
21080	Simplify the Radical Expression	cube root of (32x^12y^3)/(4x^3)	$\sqrt[3]{\frac{32 x^{12} y^{3}}{4 x^{3}}}$
21081	Multiply	4x(x-1)^2	$4 x {(x - 1)}^{2}$
21082	Simplify	(3x^-1)/-1	$\frac{3 x^{- 1}}{- 1}$
21083	Determine if a Polynomial	(m^5)/n	$\frac{m^{5}}{n}$
21084	Evaluate	((7-2)^2)/(5^1)-3*-3	$\frac{{(7 - 2)}^{2}}{5^{1}} - 3 \cdot - 3$
21085	Simplify	-x^2(-2xy^2)^3	$- x^{2} {(- 2 x y^{2})}^{3}$
21086	Evaluate	1/2(-7)+3	$\frac{1}{2} (- 7) + 3$
21087	Graph	y< = square root of 4x+8	$y \leq \sqrt{4 x + 8}$
21088	Solve for k	square root of 2-k = square root of -2-3k	$\sqrt{2 - k} = \sqrt{- 2 - 3 k}$
21089	Simplify	(2+ square root of 3x)/( square root of 2x)	$\frac{2 + \sqrt{3 x}}{\sqrt{2 x}}$
21090	Find the Inverse	y=3((x-9)/2)+20	$y = 3 (\frac{x - 9}{2}) + 20$
21091	Simplify	9(3^-2)-(3^4)/(3^2)-( square root of 2^6)÷2	$9 (3^{- 2}) - \frac{3^{4}}{3^{2}} - \sqrt{2^{6}} \div 2$
21092	Simplify	(4z)^-3*(2z)^5	${(4 z)}^{- 3} \times {(2 z)}^{5}$
21093	Write in Standard Form	y=x/3+5	$y = \frac{x}{3} + 5$
21094	Find the Slope	3x+7y+13=5+3x	$3 x + 7 y + 13 = 5 + 3 x$
21095	Solve for x	32+x^2=12x	$32 + x^{2} = 12 x$
21096	Simplify	fifth root of square root of y^5	$\sqrt[5]{\sqrt{y^{5}}}$
21097	Multiply	square root of 2x^3* square root of 18x^5	$\sqrt{2 x^{3}} \cdot \sqrt{18 x^{5}}$
21098	Find the Slope	(7/8,-1/2) and (1/4,1/4)	$(\frac{7}{8}, - \frac{1}{2})$ and $(\frac{1}{4}, \frac{1}{4})$
21099	Simplify	(x-2)/(x-3)*(x+x/(2-x))	$\frac{x - 2}{x - 3} \cdot (x + \frac{x}{2 - x})$
21100	Solve for x	-2=5+3x-10	$- 2 = 5 + 3 x - 10$