Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
171101	Solve for c	\|c/11\|=6	$\| \frac{c}{11} \| = 6$
171102	Solve for x	5+ square root of x+7=x	$5 + \sqrt{x + 7} = x$
171103	Simplify the Radical Expression	(4^6)(4^5)	$(4^{6}) (4^{5})$
171104	Simplify the Radical Expression	cube root of 27x^3	$\sqrt[3]{27 x^{3}}$
171105	Graph	y=-e^(x+3)	$y = - e^{x + 3}$
171106	Graph	f(x)=-(1/4)^(x-3)	$f (x) = - {(\frac{1}{4})}^{x - 3}$
171107	Simplify	( square root of x)/( square root of x)	$\frac{\sqrt{x}}{\sqrt{x}}$
171108	Solve for x	9x-3-8x=7-x	$9 x - 3 - 8 x = 7 - x$
171109	Solve for x	3^2x=27^4	$3^{2} x = 27^{4}$
171110	Graph	f(x)=(2x^2)/(x^2+2x-3)	$f (x) = \frac{2 x^{2}}{x^{2} + 2 x - 3}$
171111	Solve for a	1/a=1/b+1/c	$\frac{1}{a} = \frac{1}{b} + \frac{1}{c}$
171112	Find g(f(x))	f(x)=2x+11 and g(x)=-3x-22	$f (x) = 2 x + 11$ and $g (x) = - 3 x - 22$
171113	Evaluate	square root of 3x^2	$\sqrt{3 x^{2}}$
171114	Solve for x	1/(x+4)+2/(x+3)=-1/(x^2+7x+12)	$\frac{1}{x + 4} + \frac{2}{x + 3} = \frac{- 1}{x^{2} + 7 x + 12}$
171115	Simplify	(-6s^-2)/(-3(s^4)^2)	$\frac{- 6 s^{- 2}}{- 3 {(s^{4})}^{2}}$
171116	Simplify the Radical Expression	square root of x^11	$\sqrt{x^{11}}$
171117	Find the LCD	6/(2u^2+14u+24) , (5u)/(2u^2+2u-12)	$\frac{6}{2 u^{2} + 14 u + 24}$ , $\frac{5 u}{2 u^{2} + 2 u - 12}$
171118	Find the Standard Form of the Parabola	f(x)=-(x+2)^2	$f (x) = - {(x + 2)}^{2}$
171119	Graph	x(x-5)<=0	$x (x - 5) \leq 0$
171120	Solve for z	(z+3)(z-7)=0	$(z + 3) (z - 7) = 0$
171121	Solve the Inequality for x	((x-3)(x+2))/(x-1)<=0	$\frac{(x - 3) (x + 2)}{x - 1} \leq 0$
171122	Simplify	(x^6*x^8)/x	$\frac{x^{6} \cdot x^{8}}{x}$
171123	Solve for x	3(3x+1)-4x=2(4x-3)	$3 (3 x + 1) - 4 x = 2 (4 x - 3)$
171124	Multiply	2*(-2/3)	$2 \cdot (- \frac{2}{3})$
171125	Solve for x	108=1730(0.945)^(x-3)-162	$108 = 1730 {(0.945)}^{x - 3} - 162$
171126	Simplify	(32x^-35y^-25)^(-4/5)	${(32 x^{- 35} y^{- 25})}^{- \frac{4}{5}}$
171127	Graph	18-5z+6z>3+6	$18 - 5 z + 6 z > 3 + 6$
171128	Solve for k	q=q_0e^(-kt)	$q = q_{0} e^{- k t}$
171129	Solve for m	\|6m-2\|=0	$\| 6 m - 2 \| = 0$
171130	Solve for x	1/3(6x+12)-2(x-7)=19	$\frac{1}{3} (6 x + 12) - 2 (x - 7) = 19$
171131	Find the Complex Conjugate	square root of -4	$\sqrt{- 4}$
171132	Graph	(negative infinity,-4]	$(- \infty, - 4]$
171133	Simplify	((3z^-4)^-2)/(2v^-2z^-4)	$\frac{{(3 z^{- 4})}^{- 2}}{2 v^{- 2} z^{- 4}}$
171134	Solve for x	3kx+24=9kx for x	$3 k x + 24 = 9 k x$ for $x$
171135	Solve for y	4y+9-2y-1=64	$4 y + 9 - 2 y - 1 = 64$
171136	Solve for x	4kx+10kx=7 for x	$4 k x + 10 k x = 7$ for $x$
171137	Solve for x	(2x+5)/6=x/18	$\frac{2 x + 5}{6} = \frac{x}{18}$
171138	Evaluate	10-(2+2^2)	$10 - (2 + 2^{2})$
171139	Find the LCD	8/(x^2-9x-36) and -2/(x^2+3x)	$\frac{8}{x^{2} - 9 x - 36}$ and $\frac{- 2}{x^{2} + 3 x}$
171140	Factor	a^2(a+1)+a(a+1)+3(a+1)	$a^{2} (a + 1) + a (a + 1) + 3 (a + 1)$
171141	Simplify	3^4x^3x^5	$3^{4} \cdot x^{3} \cdot x^{5}$
171142	Find the x and y Intercepts	f(x)=(x+5)/(3x-14)	$f (x) = \frac{x + 5}{3 x - 14}$
171143	Find the Degree, Leading Term, and Leading Coefficient	p(x)=1/2x^2+3x-4x^3+6x^4-1	$p (x) = \frac{1}{2} x^{2} + 3 x - 4 x^{3} + 6 x^{4} - 1$
171144	Solve for x	(5(x-3))/2-1=14	$\frac{5 (x - 3)}{2} - 1 = 14$
171145	Simplify	(csc(x)cos(x))/(tan(x)+cot(x))	$\frac{\csc (x) \cos (x)}{\tan (x) + \cot (x)}$
171146	Simplify	(-8+6i)/(2-8i)	$\frac{- 8 + 6 i}{2 - 8 i}$
171147	Find the Roots (Zeros)	P(x)=x^3+3x^2+x+3	$P (x) = x^{3} + 3 x^{2} + x + 3$
171148	Evaluate Using the Given Value	\|-4b-8\|+\|-1-b^2\|+2b^3 , b=-2	$\| - 4 b - 8 \| + \| - 1 - b^{2} \| + 2 b^{3}$ , $b = - 2$
171149	Solve the Inequality for x	-10+x>-3	$- 10 + x > - 3$
171150	Solve for m	4+6(7-m)=4	$4 + 6 (7 - m) = 4$
171151	Solve the Inequality for x	x/-3<5	$\frac{x}{- 3} < 5$
171152	Evaluate	cube root of -54* cube root of 1/2	$\sqrt[3]{- 54} \cdot \sqrt[3]{\frac{1}{2}}$
171153	Solve the Inequality for x	2(3x-7)>=-x	$2 (3 x - 7) \geq - x$
171154	Simplify	2 square root of 204 square root of 6	$2 \sqrt{2} \cdot 0 \cdot 4 \sqrt{6}$
171155	Evaluate	natural log of e^6+ natural log of e^12	$\ln (e^{6}) + \ln (e^{12})$
171156	Solve for x	2 log of x=3+ log of x/10	$2 \log (x) = 3 + \log (\frac{x}{10})$
171157	Solve for x	12(x-2)+3x=1/2(x+6)+2	$12 (x - 2) + 3 x = \frac{1}{2} (x + 6) + 2$
171158	Divide	5÷3 1/3	$5 \div 3 \frac{1}{3}$
171159	Solve the Inequality for x	\|x\|<6	$\| x \| < 6$
171160	Factor	4-d^4e^2	$4 - d^{4} e^{2}$
171161	Solve the Inequality for x	-x^2-5x+6>0	$- x^{2} - 5 x + 6 > 0$
171162	Solve for x	x+2 = square root of 5x+5	$x + 2 = \sqrt{5 x + 5}$
171163	Divide	4/5*4/10	$\frac{4}{5} \cdot \frac{4}{10}$
171164	Simplify	7/((-5/x)^2-3)	$\frac{7}{{(- \frac{5}{x})}^{2} - 3}$
171165	Find the Perfect Square Trinomial	4x^2-12x+9	$4 x^{2} - 12 x + 9$
171166	Solve for c	3/8=-3/8c+5/8	$\frac{3}{8} = - \frac{3}{8} c + \frac{5}{8}$
171167	Find the Roots (Zeros)	y=x^2+3x	$y = x^{2} + 3 x$
171168	Graph	x<=3y	$x \leq 3 y$
171169	Solve for x	8/(x^2)+1=9/x	$\frac{8}{x^{2}} + 1 = \frac{9}{x}$
171170	Convert to a Decimal	160deg	$160$ degrees
171171	Simplify	(7 square root of -9)(- square root of -80)	$(7 \sqrt{- 9}) (- \sqrt{- 80})$
171172	Evaluate	1/2 square root of 2+1/2 square root of 2	$\frac{1}{2} \sqrt{2} + \frac{1}{2} \sqrt{2}$
171173	Factor	26r^3s+52r^5-39r^2s^4	$26 r^{3} s + 52 r^{5} - 39 r^{2} s^{4}$
171174	Simplify	square root of -15 square root of -4	$\sqrt{- 15} \sqrt{- 4}$
171175	Solve Using the Quadratic Formula	2/5x^2-1/4x=0	$\frac{2}{5} x^{2} - \frac{1}{4} x = 0$
171176	Simplify the Radical Expression	3 square root of 8	$3 \sqrt{8}$
171177	Divide Using Partial Quotients Division	367/14	$\frac{367}{14}$
171178	Solve for x	4(x+3)-7>=x+3(x+1)	$4 (x + 3) - 7 \geq x + 3 (x + 1)$
171179	Evaluate	(2+3i)^2	${(2 + 3 i)}^{2}$
171180	Find the Exact Value	csc(405 degrees )	$\csc (405 °)$
171181	Solve by Factoring	x^2-5x=2x^2-5x	$x^{2} - 5 x = 2 x^{2} - 5 x$
171182	Find the Function	f(x)=x^2+3x-4	$f (x) = x^{2} + 3 x - 4$
171183	Simplify	(3x^3y^4*6xy^-5)/((3xy)^2)	$\frac{3 x^{3} y^{4} \cdot 6 x y^{- 5}}{{(3 x y)}^{2}}$
171184	Solve the Inequality for x	(x+5)/(1-x)<=(3-x)/(x+3)	$\frac{x + 5}{1 - x} \leq \frac{3 - x}{x + 3}$
171185	Solve for k	D=1/4fk for k	$D = \frac{1}{4} f k$ for $k$
171186	Solve for x	x^2=(-1)^2	$x^{2} = {(- 1)}^{2}$
171187	Simplify	(y^x*y^(-x))^4	${(y^{x} \cdot y^{- x})}^{4}$
171188	Graph	2x+y=1 and 2y+4x=2	$2 x + y = 1$ and $2 y + 4 x = 2$
171189	Simplify	3x-x/(x+3)	$3 x - \frac{x}{x + 3}$
171190	Find the Exact Value	arccsc(-2/( square root of 3))	$arccsc (- \frac{2}{\sqrt{3}})$
171191	Simplify the Radical Expression	square root of -44	$\sqrt{- 44}$
171192	Graph Using a Table of Values	f(x)=(2x+3)/(x+3)	$f (x) = \frac{2 x + 3}{x + 3}$
171193	Solve the Inequality for a	7+a<11	$7 + a < 11$
171194	Simplify	(6x^3-10x^2)/(3x^3-2x^2-5x)	$\frac{6 x^{3} - 10 x^{2}}{3 x^{3} - 2 x^{2} - 5 x}$
171195	Solve the Inequality for x	3x^2+4<4x	$3 x^{2} + 4 < 4 x$
171196	Evaluate	-4^2-(-3)^2	$- 4^{2} - {(- 3)}^{2}$
171197	Solve for n	(2m-n)/3=5m	$\frac{2 m - n}{3} = 5 m$
171198	Solve the Inequality for x	x/5-x/4<=9/10	$\frac{x}{5} - \frac{x}{4} \leq \frac{9}{10}$
171199	Find the Exact Value	(1/4)^3	${(\frac{1}{4})}^{3}$
171200	Find the LCD	(4x)/(3x^2-14x+16) and 9/(3x^2-11x+8)	$\frac{4 x}{3 x^{2} - 14 x + 16}$ and $\frac{9}{3 x^{2} - 11 x + 8}$