Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
178101	Factor	10a-25+5b	$10 a - 25 + 5 b$
178102	Simplify the Radical Expression	- square root of -20	$- \sqrt{- 20}$
178103	Solve for y	x=3/4(y+z)	$x = \frac{3}{4} (y + z)$
178104	Solve for x	x+x+2+3x-6=31	$x + x + 2 + 3 x - 6 = 31$
178105	Solve for x	19=4(3)^(5x)+8	$19 = 4 {(3)}^{5 x} + 8$
178106	Solve for x	184-7(2x+5)=301+6(x-1)-6	$184 - 7 (2 x + 5) = 301 + 6 (x - 1) - 6$
178107	Simplify	((2x^2)/(y^3))^-3	${(\frac{2 x^{2}}{y^{3}})}^{- 3}$
178108	Graph Using a Table of Values	f(x)=x/(x-2)	$f (x) = \frac{x}{x - 2}$
178109	Simplify	(4x+2i)(4x-2i)	$(4 x + 2 i) (4 x - 2 i)$
178110	Evaluate	-1/2(1)^2	$- \frac{1}{2} {(1)}^{2}$
178111	Find g(f(x))	f(x)=3x g(x)=3x	$f (x) = 3 x$ $g (x) = 3 x$
178112	Find the Exact Value	7/8m+9/10-2m-3/5	$\frac{7}{8} m + \frac{9}{10} - 2 m - \frac{3}{5}$
178113	Graph	y>=-x^2-2x+8	$y \geq - x^{2} - 2 x + 8$
178114	Graph Using a Table of Values	f(x)=(2x-1)/(-x+2)	$f (x) = \frac{2 x - 1}{- x + 2}$
178115	Factor	(x^3-1)/(x^2-1)	$\frac{x^{3} - 1}{x^{2} - 1}$
178116	Solve the Inequality for x	x^2-49>=0	$x^{2} - 49 \geq 0$
178117	Find the Exact Value	(3/5)^4	${(\frac{3}{5})}^{4}$
178118	Find the Holes in the Graph	(5x^2)/(-3x^2-7x)	$\frac{5 x^{2}}{- 3 x^{2} - 7 x}$
178119	Evaluate	arccos(-1/( square root of 2))	$\arccos (- \frac{1}{\sqrt{2}})$
178120	Solve for g	7g+1+3g^2=0	$7 g + 1 + 3 g^{2} = 0$
178121	Factor	2ab-2ac+2a-b+c-1	$2 a b - 2 a c + 2 a - b + c - 1$
178122	Evaluate	ee	$e e$
178123	Simplify	-3xy^3*(4xy)^2	$- 3 x y^{3} \cdot {(4 x y)}^{2}$
178124	Solve for k	8k-6=6(k+3)+6k	$8 k - 6 = 6 (k + 3) + 6 k$
178125	Simplify	15-4(3/2x+8)	$15 - 4 (\frac{3}{2} x + 8)$
178126	Solve for n	6e^(3n-2)+3=15	$6 e^{3 n - 2} + 3 = 15$
178127	Find the Exact Value	2cos(pi/8)^2-1	$2 \cos^{2} (\frac{π}{8}) - 1$
178128	Find All Complex Solutions	square root of 2sin(theta)^2+sin(theta)=0	$\sqrt{2} \sin^{2} (θ) + \sin (θ) = 0$
178129	Solve for x	\|2x-3\|=\|x+3\|	$\| 2 x - 3 \| = \| x + 3 \|$
178130	Solve for a	(x^(3/2))^(6/5)=x^a	${(x^{\frac{3}{2}})}^{\frac{6}{5}} = x^{a}$
178131	Solve for a	u=-6a	$u = - 6 a$
178132	Solve for x	x^2+x=8	$x^{2} + x = 8$
178133	Solve for x	(2x-6)/x=(x-3)/3	$\frac{2 x - 6}{x} = \frac{x - 3}{3}$
178134	Evaluate	2(1/2)^-2	$2 {(\frac{1}{2})}^{- 2}$
178135	Multiply	(2x^4+3x^3)(2x^4-3x^3)	$(2 x^{4} + 3 x^{3}) (2 x^{4} - 3 x^{3})$
178136	Find the Exact Value	10^-9	$10^{- 9}$
178137	Simplify	1/( square root of 9)	$\frac{1}{\sqrt{9}}$
178138	Evaluate	square root of a^2+b^2=a+b	$\sqrt{a^{2} + b^{2}} = a + b$
178139	Find the Holes in the Graph	((x+2)(x-2))/((x+2)(x-5))	$\frac{(x + 2) (x - 2)}{(x + 2) (x - 5)}$
178140	Convert to Radical Form	(27 cube root of z^2)^(1/3)	${(27 \sqrt[3]{z^{2}})}^{\frac{1}{3}}$
178141	Simplify the Radical Expression	fourth root of 81x^8y^6	$\sqrt[4]{81 x^{8} y^{6}}$
178142	Simplify	(x+2y+3z)^2	${(x + 2 y + 3 z)}^{2}$
178143	Find the x and y Intercepts	f(x)=((4x-3)(x-1))/((2x+1)(x+1))	$f (x) = \frac{(4 x - 3) (x - 1)}{(2 x + 1) (x + 1)}$
178144	Find the Exact Value	i^15	$i^{15}$
178145	Evaluate	84/12+(5-7^2)-72÷6*2	$\frac{84}{12} + (5 - 7^{2}) - 72 \div 6 \cdot 2$
178146	Graph Using a Table of Values	y = log base 2 of x+5	$y = \log_{2} (x + 5)$
178147	Simplify	2+ square root of -25	$2 + \sqrt{- 25}$
178148	Find the Exact Value	cos(180 degrees )^2-sin(180 degrees )^2	$\cos^{2} (180 °) - \sin^{2} (180 °)$
178149	Simplify	2 square root of 5*3 square root of 5	$2 \sqrt{5} \cdot 3 \sqrt{5}$
178150	Solve for x	x-(3x+5)/(x+4)=7/(x+4)	$x - \frac{3 x + 5}{x + 4} = \frac{7}{x + 4}$
178151	Solve for y	y=e^-2+1	$y = e^{- 2} + 1$
178152	Solve for r	5/6r-3(r+3)-1/2r=-4/3r	$\frac{5}{6} r - 3 (r + 3) - \frac{1}{2} r = - \frac{4}{3} r$
178153	Find the Roots (Zeros)	x^4+3x^2=0	$x^{4} + 3 x^{2} = 0$
178154	Solve for m	4+\|7-m\|=5	$4 + \| 7 - m \| = 5$
178155	Solve for y	2/3+y=1/4	$\frac{2}{3} + y = \frac{1}{4}$
178156	Simplify	1/(x+1)-(5x-2)/(x^2-5x-6)+x/(6-x)	$\frac{1}{x + 1} - \frac{5 x - 2}{x^{2} - 5 x - 6} + \frac{x}{6 - x}$
178157	Graph	y<=1/6x	$y \leq \frac{1}{6} x$
178158	Solve for x	1/(6x^2)+1/(6x)=1/(x^2)	$\frac{1}{6 x^{2}} + \frac{1}{6 x} = \frac{1}{x^{2}}$
178159	Solve the Inequality for x	4/(2x-1)>=1/(x+1)	$\frac{4}{2 x - 1} \geq \frac{1}{x + 1}$
178160	Solve the System of Equations	x-4y=10 -2x+y=1	$x - 4 y = 10$ $- 2 x + y = 1$
178161	Solve for x	3/7=(x-2)/6	$\frac{3}{7} = \frac{x - 2}{6}$
178162	Write in Standard Form	(2k^3-7k^2+3k)-(-4k^2+5k)	$(2 k^{3} - 7 k^{2} + 3 k) - (- 4 k^{2} + 5 k)$
178163	Solve for x	(9x)/(x+7)+1/(x^2+7x)=-1	$\frac{9 x}{x + 7} + \frac{1}{x^{2} + 7 x} = - 1$
178164	Simplify	1.05(x-0.2x)	$1.05 (x - 0.2 x)$
178165	Find the Equation of the Circle	Center (0,0) , r=12	Center $(0, 0)$ , $r = 12$
178166	Simplify	(4x)/((4x)^2+1)	$\frac{4 x}{{(4 x)}^{2} + 1}$
178167	Simplify	(2a^2+2ab)/(3a^2b)	$\frac{2 a^{2} + 2 a b}{3 a^{2} b}$
178168	Solve for x	-189=4x-3(-4x+15)	$- 189 = 4 x - 3 (- 4 x + 15)$
178169	Solve for a	36a-30a+30a=-36	$36 a - 30 a + 30 a = - 36$
178170	Simplify	(5x^4-500x^2)/(15x+75)*(x^2+11x+30)/(x^5+16x^4+60x^3)	$\frac{5 x^{4} - 500 x^{2}}{15 x + 75} \cdot \frac{x^{2} + 11 x + 30}{x^{5} + 16 x^{4} + 60 x^{3}}$
178171	Solve the Inequality for x	2x^3>-8x^2	$2 x^{3} > - 8 x^{2}$
178172	Factor	25a^2-0.01b^10	$25 a^{2} - 0.01 b^{10}$
178173	Find the Inverse	f(x)=( cube root of x)/2+9	$f (x) = \frac{\sqrt[3]{x}}{2} + 9$
178174	Find the Domain and Range	f(x) = cube root of 2x+3	$f (x) = \sqrt[3]{2 x + 3}$
178175	Evaluate	1/2(5/6)^2+5/8	$\frac{1}{2} {(\frac{5}{6})}^{2} + \frac{5}{8}$
178176	Solve for x	square root of d=(x-z^3)/(3a)	$\sqrt{d} = \frac{x - z^{3}}{3 a}$
178177	Simplify	((5^2)/4)^4	${(\frac{5^{2}}{4})}^{4}$
178178	Solve for x	1/x+1/4=7/12	$\frac{1}{x} + \frac{1}{4} = \frac{7}{12}$
178179	Graph Using a Table of Values	x=5	$x = 5$
178180	Solve for d	3d^2=-15	$3 d^{2} = - 15$
178181	Solve for x	(10x-4)/2+7=5(x+1)	$\frac{10 x - 4}{2} + 7 = 5 (x + 1)$
178182	Graph	f(x)=1/3 cube root of x	$f (x) = \frac{1}{3} \sqrt[3]{x}$
178183	Factor	2x^2+x-6=0	$2 x^{2} + x - 6 = 0$
178184	Graph	-4x<=8	$- 4 x \leq 8$
178185	Evaluate	(3(4+2))/(1+4^2-14)	$\frac{3 (4 + 2)}{1 + 4^{2} - 14}$
178186	Solve the Inequality for x	5x+2<4x-3	$5 x + 2 < 4 x - 3$
178187	Solve the Inequality for x	\|2x+5\|<2-x	$\| 2 x + 5 \| < 2 - x$
178188	Graph	g(x)=-f(x)+1	$g (x) = - f (x) + 1$
178189	Solve for x	96=3(2^(x+2))	$96 = 3 (2^{x + 2})$
178190	Expand the Logarithmic Expression	log of (x^2z)/( cube root of y)	$\log (\frac{x^{2} z}{\sqrt[3]{y}})$
178191	Factor	y=x^2+5x+6	$y = x^{2} + 5 x + 6$
178192	Expand the Logarithmic Expression	natural log of ((m^5)/(n^2))^3	$\ln ({(\frac{m^{5}}{n^{2}})}^{3})$
178193	Solve for a	(4a+2)/6=7	$\frac{4 a + 2}{6} = 7$
178194	Evaluate	-2(1/2)^1	$- 2 {(\frac{1}{2})}^{1}$
178195	Simplify	(-2-3i)/(6i)	$\frac{- 2 - 3 i}{6 i}$
178196	Graph	((x+3)(x-2))/((x+2)(x-1))>=0	$\frac{(x + 3) (x - 2)}{(x + 2) (x - 1)} \geq 0$
178197	Graph	y>-x+8 y<=1/2x+2	$y > - x + 8$ $y \leq \frac{1}{2} x + 2$
178198	Solve for x	x = square root of 3x+12+2	$x = \sqrt{3 x + 12} + 2$
178199	Solve for x	square root of x-6 = square root of 36-2x	$\sqrt{x - 6} = \sqrt{36 - 2 x}$
178200	Factor	f(x)=-x^4+x^3+8x^2-12x	$f (x) = - x^{4} + x^{3} + 8 x^{2} - 12 x$