Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
178101	Simplify the Radical Expression	square root of 45p^2	$\sqrt{45 p^{2}}$
178102	Factor	9sec(a)^2-9tan(a)^2	$9 \sec^{2} (a) - 9 \tan^{2} (a)$
178103	Evaluate	2((x-3)/2)+3	$2 (\frac{x - 3}{2}) + 3$
178104	Simplify	3m^3n^2*8mn^3	$3 m^{3} n^{2} \cdot 8 m n^{3}$
178105	Solve for x	x+(2x)/(x+4)=5	$x + \frac{2 x}{x + 4} = 5$
178106	Find the Inverse	f(x)=3+5/(e^(x-6))	$f (x) = 3 + \frac{5}{e^{x - 6}}$
178107	Graph	x+y=6 x-y=4	$x + y = 6$ $x - y = 4$
178108	Solve for n	( square root of 16)÷(4^3)=4^n	$\sqrt{16} \div 4^{3} = 4^{n}$
178109	Divide Using Synthetic Division	(5x^3+2x^2-6)÷(x-1)	$(5 x^{3} + 2 x^{2} - 6) \div (x - 1)$
178110	Write the Fraction in Simplest Form	3/4-1/2	$\frac{3}{4} - \frac{1}{2}$
178111	Find the x and y Intercepts	f(x)=-x(x-1)(x+2)^2	$f (x) = - x (x - 1) {(x + 2)}^{2}$
178112	Graph	y<3/7x+4/7	$y < \frac{3}{7} x + \frac{4}{7}$
178113	Solve for x	x^2+1/2x+1/16=4/9	$x^{2} + \frac{1}{2} x + \frac{1}{16} = \frac{4}{9}$
178114	Graph	y=5/2cos(x+pi)	$y = \frac{5}{2} \cos (x + π)$
178115	Find the Inverse	f(x)=( seventh root of x)/9-2	$f (x) = \frac{\sqrt[7]{x}}{9} - 2$
178116	Factor	10a-25+5b	$10 a - 25 + 5 b$
178117	Simplify the Radical Expression	- square root of -20	$- \sqrt{- 20}$
178118	Solve for y	x=3/4(y+z)	$x = \frac{3}{4} (y + z)$
178119	Solve for x	x+x+2+3x-6=31	$x + x + 2 + 3 x - 6 = 31$
178120	Solve for x	19=4(3)^(5x)+8	$19 = 4 {(3)}^{5 x} + 8$
178121	Solve for x	184-7(2x+5)=301+6(x-1)-6	$184 - 7 (2 x + 5) = 301 + 6 (x - 1) - 6$
178122	Simplify	((2x^2)/(y^3))^-3	${(\frac{2 x^{2}}{y^{3}})}^{- 3}$
178123	Graph Using a Table of Values	f(x)=x/(x-2)	$f (x) = \frac{x}{x - 2}$
178124	Simplify	(4x+2i)(4x-2i)	$(4 x + 2 i) (4 x - 2 i)$
178125	Evaluate	-1/2(1)^2	$- \frac{1}{2} {(1)}^{2}$
178126	Find g(f(x))	f(x)=3x g(x)=3x	$f (x) = 3 x$ $g (x) = 3 x$
178127	Find the Exact Value	7/8m+9/10-2m-3/5	$\frac{7}{8} m + \frac{9}{10} - 2 m - \frac{3}{5}$
178128	Graph	y>=-x^2-2x+8	$y \geq - x^{2} - 2 x + 8$
178129	Graph Using a Table of Values	f(x)=(2x-1)/(-x+2)	$f (x) = \frac{2 x - 1}{- x + 2}$
178130	Factor	(x^3-1)/(x^2-1)	$\frac{x^{3} - 1}{x^{2} - 1}$
178131	Solve the Inequality for x	x^2-49>=0	$x^{2} - 49 \geq 0$
178132	Find the Exact Value	(3/5)^4	${(\frac{3}{5})}^{4}$
178133	Find the Holes in the Graph	(5x^2)/(-3x^2-7x)	$\frac{5 x^{2}}{- 3 x^{2} - 7 x}$
178134	Evaluate	arccos(-1/( square root of 2))	$\arccos (- \frac{1}{\sqrt{2}})$
178135	Solve for g	7g+1+3g^2=0	$7 g + 1 + 3 g^{2} = 0$
178136	Factor	2ab-2ac+2a-b+c-1	$2 a b - 2 a c + 2 a - b + c - 1$
178137	Evaluate	ee	$e e$
178138	Simplify	-3xy^3*(4xy)^2	$- 3 x y^{3} \cdot {(4 x y)}^{2}$
178139	Solve for k	8k-6=6(k+3)+6k	$8 k - 6 = 6 (k + 3) + 6 k$
178140	Simplify	15-4(3/2x+8)	$15 - 4 (\frac{3}{2} x + 8)$
178141	Solve for n	6e^(3n-2)+3=15	$6 e^{3 n - 2} + 3 = 15$
178142	Find the Exact Value	2cos(pi/8)^2-1	$2 \cos^{2} (\frac{π}{8}) - 1$
178143	Find All Complex Solutions	square root of 2sin(theta)^2+sin(theta)=0	$\sqrt{2} \sin^{2} (θ) + \sin (θ) = 0$
178144	Solve for x	\|2x-3\|=\|x+3\|	$\| 2 x - 3 \| = \| x + 3 \|$
178145	Solve for a	(x^(3/2))^(6/5)=x^a	${(x^{\frac{3}{2}})}^{\frac{6}{5}} = x^{a}$
178146	Solve for a	u=-6a	$u = - 6 a$
178147	Solve for x	x^2+x=8	$x^{2} + x = 8$
178148	Solve for x	(2x-6)/x=(x-3)/3	$\frac{2 x - 6}{x} = \frac{x - 3}{3}$
178149	Evaluate	2(1/2)^-2	$2 {(\frac{1}{2})}^{- 2}$
178150	Multiply	(2x^4+3x^3)(2x^4-3x^3)	$(2 x^{4} + 3 x^{3}) (2 x^{4} - 3 x^{3})$
178151	Find the Exact Value	10^-9	$10^{- 9}$
178152	Simplify	1/( square root of 9)	$\frac{1}{\sqrt{9}}$
178153	Evaluate	square root of a^2+b^2=a+b	$\sqrt{a^{2} + b^{2}} = a + b$
178154	Find the Holes in the Graph	((x+2)(x-2))/((x+2)(x-5))	$\frac{(x + 2) (x - 2)}{(x + 2) (x - 5)}$
178155	Convert to Radical Form	(27 cube root of z^2)^(1/3)	${(27 \sqrt[3]{z^{2}})}^{\frac{1}{3}}$
178156	Simplify the Radical Expression	fourth root of 81x^8y^6	$\sqrt[4]{81 x^{8} y^{6}}$
178157	Simplify	(x+2y+3z)^2	${(x + 2 y + 3 z)}^{2}$
178158	Find the x and y Intercepts	f(x)=((4x-3)(x-1))/((2x+1)(x+1))	$f (x) = \frac{(4 x - 3) (x - 1)}{(2 x + 1) (x + 1)}$
178159	Find the Exact Value	i^15	$i^{15}$
178160	Evaluate	84/12+(5-7^2)-72÷6*2	$\frac{84}{12} + (5 - 7^{2}) - 72 \div 6 \cdot 2$
178161	Graph Using a Table of Values	y = log base 2 of x+5	$y = \log_{2} (x + 5)$
178162	Simplify	2+ square root of -25	$2 + \sqrt{- 25}$
178163	Find the Exact Value	cos(180 degrees )^2-sin(180 degrees )^2	$\cos^{2} (180 °) - \sin^{2} (180 °)$
178164	Simplify	2 square root of 5*3 square root of 5	$2 \sqrt{5} \cdot 3 \sqrt{5}$
178165	Solve for x	x-(3x+5)/(x+4)=7/(x+4)	$x - \frac{3 x + 5}{x + 4} = \frac{7}{x + 4}$
178166	Solve for y	y=e^-2+1	$y = e^{- 2} + 1$
178167	Solve for r	5/6r-3(r+3)-1/2r=-4/3r	$\frac{5}{6} r - 3 (r + 3) - \frac{1}{2} r = - \frac{4}{3} r$
178168	Find the Roots (Zeros)	x^4+3x^2=0	$x^{4} + 3 x^{2} = 0$
178169	Solve for m	4+\|7-m\|=5	$4 + \| 7 - m \| = 5$
178170	Solve for y	2/3+y=1/4	$\frac{2}{3} + y = \frac{1}{4}$
178171	Simplify	1/(x+1)-(5x-2)/(x^2-5x-6)+x/(6-x)	$\frac{1}{x + 1} - \frac{5 x - 2}{x^{2} - 5 x - 6} + \frac{x}{6 - x}$
178172	Graph	y<=1/6x	$y \leq \frac{1}{6} x$
178173	Solve for x	1/(6x^2)+1/(6x)=1/(x^2)	$\frac{1}{6 x^{2}} + \frac{1}{6 x} = \frac{1}{x^{2}}$
178174	Solve the Inequality for x	4/(2x-1)>=1/(x+1)	$\frac{4}{2 x - 1} \geq \frac{1}{x + 1}$
178175	Solve the System of Equations	x-4y=10 -2x+y=1	$x - 4 y = 10$ $- 2 x + y = 1$
178176	Solve for x	3/7=(x-2)/6	$\frac{3}{7} = \frac{x - 2}{6}$
178177	Write in Standard Form	(2k^3-7k^2+3k)-(-4k^2+5k)	$(2 k^{3} - 7 k^{2} + 3 k) - (- 4 k^{2} + 5 k)$
178178	Solve for x	(9x)/(x+7)+1/(x^2+7x)=-1	$\frac{9 x}{x + 7} + \frac{1}{x^{2} + 7 x} = - 1$
178179	Simplify	1.05(x-0.2x)	$1.05 (x - 0.2 x)$
178180	Find the Equation of the Circle	Center (0,0) , r=12	Center $(0, 0)$ , $r = 12$
178181	Simplify	(4x)/((4x)^2+1)	$\frac{4 x}{{(4 x)}^{2} + 1}$
178182	Simplify	(2a^2+2ab)/(3a^2b)	$\frac{2 a^{2} + 2 a b}{3 a^{2} b}$
178183	Solve for x	-189=4x-3(-4x+15)	$- 189 = 4 x - 3 (- 4 x + 15)$
178184	Solve for a	36a-30a+30a=-36	$36 a - 30 a + 30 a = - 36$
178185	Simplify	(5x^4-500x^2)/(15x+75)*(x^2+11x+30)/(x^5+16x^4+60x^3)	$\frac{5 x^{4} - 500 x^{2}}{15 x + 75} \cdot \frac{x^{2} + 11 x + 30}{x^{5} + 16 x^{4} + 60 x^{3}}$
178186	Solve the Inequality for x	2x^3>-8x^2	$2 x^{3} > - 8 x^{2}$
178187	Factor	25a^2-0.01b^10	$25 a^{2} - 0.01 b^{10}$
178188	Find the Inverse	f(x)=( cube root of x)/2+9	$f (x) = \frac{\sqrt[3]{x}}{2} + 9$
178189	Find the Domain and Range	f(x) = cube root of 2x+3	$f (x) = \sqrt[3]{2 x + 3}$
178190	Evaluate	1/2(5/6)^2+5/8	$\frac{1}{2} {(\frac{5}{6})}^{2} + \frac{5}{8}$
178191	Solve for x	square root of d=(x-z^3)/(3a)	$\sqrt{d} = \frac{x - z^{3}}{3 a}$
178192	Simplify	((5^2)/4)^4	${(\frac{5^{2}}{4})}^{4}$
178193	Solve for x	1/x+1/4=7/12	$\frac{1}{x} + \frac{1}{4} = \frac{7}{12}$
178194	Graph Using a Table of Values	x=5	$x = 5$
178195	Solve for d	3d^2=-15	$3 d^{2} = - 15$
178196	Solve for x	(10x-4)/2+7=5(x+1)	$\frac{10 x - 4}{2} + 7 = 5 (x + 1)$
178197	Graph	f(x)=1/3 cube root of x	$f (x) = \frac{1}{3} \sqrt[3]{x}$
178198	Factor	2x^2+x-6=0	$2 x^{2} + x - 6 = 0$
178199	Graph	-4x<=8	$- 4 x \leq 8$
178200	Evaluate	(3(4+2))/(1+4^2-14)	$\frac{3 (4 + 2)}{1 + 4^{2} - 14}$