Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
236101	Find f(g(x))	f(x)=x+4 g(x)=x^2	$f (x) = x + 4$ $g (x) = x^{2}$
236102	Multiply	square root of 2x^2* square root of 4x	$\sqrt{2 x^{2}} \cdot \sqrt{4 x}$
236103	Factor	12x^-6+7x^-5+x^-4	$12 x^{- 6} + 7 x^{- 5} + x^{- 4}$
236104	Factor	9x^2(x+6)-(x+6)	$9 x^{2} (x + 6) - (x + 6)$
236105	Simplify	((6a^3b^4)/(z^2y^4))^-3*((2zy)/(3ab))^-2	${(\frac{6 a^{3} b^{4}}{z^{2} y^{4}})}^{- 3} \cdot {(\frac{2 z y}{3 a b})}^{- 2}$
236106	Simplify	(7(3)^4)^0	${(7 {(3)}^{4})}^{0}$
236107	Solve by Substitution	x^2+y^2=49 y=7-x	$x^{2} + y^{2} = 49$ $y = 7 - x$
236108	Solve the Inequality for x	10/(x+2)<=5	$\frac{10}{x + 2} \leq 5$
236109	Simplify	(x^3-x^2y)-(xy^2+y^3)+(x^2y+xy^2)	$(x^{3} - x^{2} y) - (x y^{2} + y^{3}) + (x^{2} y + x y^{2})$
236110	Solve the Inequality for h	4h-13<-5	$4 h - 13 < - 5$
236111	Solve the System of Inequalities	16x^2+4y^2<=64 y>=-x^2+2	$16 x^{2} + 4 y^{2} \leq 64$ $y \geq - x^{2} + 2$
236112	Solve for n	m=n-18	$m = n - 18$
236113	Simplify	square root of 5( square root of 15x+3)	$\sqrt{5} (\sqrt{15 x} + 3)$
236114	Solve for x	3x-1<=2x+4	$3 x - 1 \leq 2 x + 4$
236115	Find the End Behavior	B(x)=7x^4-5x^3+10x^2-4x+1	$B (x) = 7 x^{4} - 5 x^{3} + 10 x^{2} - 4 x + 1$
236116	Solve for x	3x-5 = square root of 6x+5	$3 x - 5 = \sqrt{6 x + 5}$
236117	Combine Like Terms	-3y+12x-y-3x	$- 3 y + 12 x - y - 3 x$
236118	Evaluate	1/2(1-0.97)	$\frac{1}{2} (1 - 0.97)$
236119	Solve for h	15 = square root of 2(9.8)h	$15 = \sqrt{2 (9.8) h}$
236120	Solve the Inequality for x	2x-16>4x	$2 x - 16 > 4 x$
236121	Evaluate	-3x^2=150	$- 3 x^{2} = 150$
236122	Simplify	((x^2y)^(1/4))/(x^(-1/2)y^(1/2))	$\frac{{(x^{2} y)}^{\frac{1}{4}}}{x^{- \frac{1}{2}} y^{\frac{1}{2}}}$
236123	Solve for u	29=-3u-5u-27	$29 = - 3 u - 5 u - 27$
236124	Solve for x	(5+x)k=z	$(5 + x) k = z$
236125	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (4,4) and has a slope of 3 ?	What is the equation of the line that passes through the point $(4, 4)$ and has a slope of $3$ ?
236126	Evaluate	(34)÷2+(120-2)	$3 \times 4 \div 2 + (12 \times 0 - 2)$
236127	Simplify	y^-6y^5y^0	$y^{- 6} \cdot y^{5} \cdot y^{0}$
236128	Solve for x	2^(x+1)+2^x=3^(y+2)-3^y	$2^{x + 1} + 2^{x} = 3^{y + 2} - 3^{y}$
236129	Simplify	square root of 9a^6bc^3	$\sqrt{9 a^{6} b c^{3}}$
236130	Simplify	(t^2+3)/(t^4-16)+7/(16-t^4)	$\frac{t^{2} + 3}{t^{4} - 16} + \frac{7}{16 - t^{4}}$
236131	Graph	2/3h>14	$\frac{2}{3} h > 14$
236132	Solve the Inequality for B	12B>36	$12 B > 36$
236133	Solve by Graphing	y=(x-3)^2+5 y=5	$y = {(x - 3)}^{2} + 5$ $y = 5$
236134	Evaluate	36^(2x-7)=6^(x-5)	$36^{2 x - 7} = 6^{x - 5}$
236135	Evaluate Using the Given Value	y-(4-x-y÷2) ; use x=3 ; and y=2	$y - (4 - x - y \div 2)$ ; use $x = 3$ ; and $y = 2$
236136	Simplify the Radical Expression	fourth root of 10^5x	$\sqrt[4]{10^{5} x}$
236137	Find the Points of Intersection	8x-2y=5 -12x+3y=7	$8 x - 2 y = 5$ $- 12 x + 3 y = 7$
236138	Solve for x	x+5 = log base 4 of 256	$x + 5 = \log_{4} (256)$
236139	Solve for n	square root of -30+11n=n	$\sqrt{- 30 + 11 n} = n$
236140	Write in Standard Form	12x^3+5x^6+4x^5-2x^8	$12 x^{3} + 5 x^{6} + 4 x^{5} - 2 x^{8}$
236141	Graph	y=csc(pi-x)	$y = \csc (π - x)$
236142	Find the Roots (Zeros)	(x-1)	$(x - 1)$
236143	Identify the Zeros and Their Multiplicities	f(x)=7(x^2+1)^2(x-4)^3	$f (x) = 7 {(x^{2} + 1)}^{2} {(x - 4)}^{3}$
236144	Simplify	7/(5-u)-(2+u)/(5-u)	$\frac{7}{5 - u} - \frac{2 + u}{5 - u}$
236145	Solve for x	2x^2-4x=t	$2 x^{2} - 4 x = t$
236146	Graph	y=2^y	$y = 2^{y}$
236147	Simplify	3*3^3	$3 \times 3^{3}$
236148	Simplify	y/(x^3)+xy	$\frac{y}{x^{3}} + x y$
236149	Solve for c	7(-3c+10)=4(-6c+18)+10	$7 (- 3 c + 10) = 4 (- 6 c + 18) + 10$
236150	Simplify the Radical Expression	(27x^12y^-21)^(2/3)	${(27 x^{12} y^{- 21})}^{\frac{2}{3}}$
236151	Evaluate	-csc(pi/3)	$- \csc (\frac{π}{3})$
236152	Write in Standard Form	-7-(4-5i)-(2-4i)	$- 7 - (4 - 5 i) - (2 - 4 i)$
236153	Simplify	9yi^4+yi	$9 y i^{4} + y i$
236154	Simplify	12x-(7y-8x)+4x-11y	$12 x - (7 y - 8 x) + 4 x - 11 y$
236155	Write in Standard Form	x+3x^2=8x+6	$x + 3 x^{2} = 8 x + 6$
236156	Find the Points of Intersection	x+2y=-1 2x+4y=-2	$x + 2 y = - 1$ $2 x + 4 y = - 2$
236157	Simplify the Radical Expression	square root of 27+ square root of 75	$\sqrt{27} + \sqrt{75}$
236158	Factor	xy^2-by^2-ax+ab+y^2-a	$x y^{2} - b y^{2} - a x + a b + y^{2} - a$
236159	Simplify	-6yi-9xi^4	$- 6 y i - 9 x i^{4}$
236160	Evaluate	(y^-7)/(x^7x^8y^-7)	$\frac{y^{- 7}}{x^{7} x^{8} y^{- 7}}$
236161	Solve the Inequality for x	-x^2-9x+36>=-4x	$- x^{2} - 9 x + 36 \geq - 4 x$
236162	Solve the Rational Equation for x	square root of 2x-1+3=6	$\sqrt{2 x - 1} + 3 = 6$
236163	Simplify	x^-3y^2x^-4y^24y^-1	$x^{- 3} y^{2} \cdot x^{- 4} y^{2} \cdot 4 y^{- 1}$
236164	Find the Exact Value	(-( square root of 2)/2)/(( square root of 2)/2)	$\frac{- \frac{\sqrt{2}}{2}}{\frac{\sqrt{2}}{2}}$
236165	Solve for x	(x+3)/x-(x+1)/(x+4)=5/x	$\frac{x + 3}{x} - \frac{x + 1}{x + 4} = \frac{5}{x}$
236166	Find the Roots (Zeros)	y=2cos(x)	$y = 2 \cos (x)$
236167	Solve for x	4x^2-4x=-4x+1	$4 x^{2} - 4 x = - 4 x + 1$
236168	Find the x and y Intercepts	(x-2)^2+y^2=13	${(x - 2)}^{2} + y^{2} = 13$
236169	Solve the System of Equations	4x^2+y=3 -x-y=11	$4 x^{2} + y = 3$ $- x - y = 11$
236170	Factor	r^6s^6+27s^3	$r^{6} s^{6} + 27 s^{3}$
236171	Multiply	9x-7i>3(3x-7u)	$9 x - 7 i > 3 (3 x - 7 u)$
236172	Graph	-28<=2y<=-22	$- 28 \leq 2 y \leq - 22$
236173	Solve the Inequality for m	m/-8<=-2.4	$\frac{m}{- 8} \leq - 2.4$
236174	Expand the Logarithmic Expression	log base 2 of (9x^5)/(4y^3)	$\log_{2} (\frac{9 x^{5}}{4 y^{3}})$
236175	Solve for A	cos(2A)=-2/3	$\cos (2 A) = \frac{- 2}{3}$
236176	Graph	\|2x-3\|>=-1	$\| 2 x - 3 \| \geq - 1$
236177	Plot	x+y<=5	$x + y \leq 5$
236178	Write Using Positive Exponents	(3^6)/(3^-4)*3^-1	$\frac{3^{6}}{3^{- 4}} \cdot 3^{- 1}$
236179	Simplify	square root of -3* square root of -12* square root of -4	$\sqrt{- 3} \cdot \sqrt{- 12} \cdot \sqrt{- 4}$
236180	Find the Slope and y-intercept	y+1/2x=-4	$y + \frac{1}{2} x = - 4$
236181	Simplify	(x^3+11x^2+18x)/(x^2+x-2)	$\frac{x^{3} + 11 x^{2} + 18 x}{x^{2} + x - 2}$
236182	Solve the Inequality for x	-5(2x-4)<=2-x	$- 5 (2 x - 4) \leq 2 - x$
236183	Simplify	-6x-2(-5x+9)-3x	$- 6 x - 2 (- 5 x + 9) - 3 x$
236184	Factor by Grouping	81m+48mn	$81 m + 48 m n$
236185	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (4,-7) and has a slope of -1/2 ?	What is the equation of the line that passes through the point $(4, - 7)$ and has a slope of $- \frac{1}{2}$ ?
236186	Solve for x	((2x)^2)/((1.00-x)(2.00-x))=50.5	$\frac{{(2 x)}^{2}}{(1 - x) (2 - x)} = 50.5$
236187	Solve the Inequality for x	-2x^2+24x>-4x+96	$- 2 x^{2} + 24 x > - 4 x + 96$
236188	Find All Complex Solutions	7z^2+8z+3=3z^2	$7 z^{2} + 8 z + 3 = 3 z^{2}$
236189	Graph Using a Table of Values	f(x)=-(1/2)^(x-2)-8	$f (x) = - {(\frac{1}{2})}^{x - 2} - 8$
236190	Find the Roots (Zeros)	(-4x-3)(x-3)	$(- 4 x - 3) (x - 3)$
236191	Solve for s	\|2s+1\|+3<=2	$\| 2 s + 1 \| + 3 \leq 2$
236192	Combine Like Terms	(3x^4-3x)-(3x-3x^4)	$(3 x^{4} - 3 x) - (3 x - 3 x^{4})$
236193	Simplify	5p-3q+2-4p+5+4q	$5 p - 3 q + 2 - 4 p + 5 + 4 q$
236194	Evaluate	-3^40*(5.6÷2.1)	$- 3^{40} \cdot (5.6 \div 2.1)$
236195	Simplify the Radical Expression	square root of (x+15)^4	$\sqrt{{(x + 15)}^{4}}$
236196	Evaluate	(tan(pi/3))/2+1/(sec(pi/6))	$\frac{\tan (\frac{π}{3})}{2} + \frac{1}{\sec (\frac{π}{6})}$
236197	Evaluate	(tan(theta))/(sin(theta))=sec(theta)	$\frac{\tan (θ)}{\sin (θ)} = \sec (θ)$
236198	Evaluate	(x^-6*x^7)/(x^6)	$\frac{x^{- 6} \cdot x^{7}}{x^{6}}$
236199	Solve the Inequality for x	(x+1)/((x-4)(x+8))>=0	$\frac{x + 1}{(x - 4) (x + 8)} \geq 0$
236200	Solve the Rational Equation for x	-5/(x-5)+1=-x/(x-5)	$- \frac{5}{x - 5} + 1 = - \frac{x}{x - 5}$