Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
188201	Solve for x	fourth root of 3x+1-3=0	$\sqrt[4]{3 x + 1} - 3 = 0$
188202	Evaluate	\|x-3\|=5	$\| x - 3 \| = 5$
188203	Find the x and y Intercepts	f(x)=3+5x^2+4x^4-3x^3-6x	$f (x) = 3 + 5 x^{2} + 4 x^{4} - 3 x^{3} - 6 x$
188204	Find the Holes in the Graph	f(x)=((x+3)(6-x))/((x-2)(x+3))	$f (x) = \frac{(x + 3) (6 - x)}{(x - 2) (x + 3)}$
188205	Simplify	-7*(-7)^-4	$- 7 \cdot {(- 7)}^{- 4}$
188206	Solve for x	(5x-9)/3+x/2=10	$\frac{5 x - 9}{3} + \frac{x}{2} = 10$
188207	Simplify	(3x^4y)(2y^2)^3	$(3 x^{4} y) {(2 y^{2})}^{3}$
188208	Graph	F(x)=3x^3+2x^2	$F (x) = 3 x^{3} + 2 x^{2}$
188209	Solve the System of Equations	x^2+y^2=169 y^2=x+13	$x^{2} + y^{2} = 169$ $y^{2} = x + 13$
188210	Find All Complex Solutions	-2sin(x)^2=sin(x)-1	$- 2 \sin^{2} (x) = \sin (x) - 1$
188211	Evaluate	2(pi)	$2 (π)$
188212	Simplify	xxxyy	$x \cdot x \cdot x \cdot y \cdot y$
188213	Write in Standard Form	-3/4x^2+2=0	$- \frac{3}{4} x^{2} + 2 = 0$
188214	Simplify	(1/(3x)+1/(x^2))/(9/x-x)	$\frac{\frac{1}{3 x} + \frac{1}{x^{2}}}{\frac{9}{x} - x}$
188215	Simplify	5/(x^2-xy)-5/(y^2-xy)	$\frac{5}{x^{2} - x y} - \frac{5}{y^{2} - x y}$
188216	Find the Inverse	f(x)=500(0.04-x^2)	$f (x) = 500 (0.04 - x^{2})$
188217	Solve for x	f(-2)=3^x	$f (- 2) = 3^{x}$
188218	Solve for w	30w-(-w+6)+(-5w+4)=-(5w+6)+(-8+3w)	$30 w - (- w + 6) + (- 5 w + 4) = - (5 w + 6) + (- 8 + 3 w)$
188219	Solve the Inequality for x	(2x-1)/(x+4)>=0	$\frac{2 x - 1}{x + 4} \geq 0$
188220	Solve the System of Equations	-14=-20y-7x 10y+4=2x	$- 14 = - 20 y - 7 x$ $10 y + 4 = 2 x$
188221	Divide	3/42/5	$\frac{3}{4} \cdot \frac{2}{5}$
188222	Evaluate	x(x-2)	$x (x - 2)$
188223	Graph Using a Table of Values	f(x)=4/3(2)^x	$f (x) = \frac{4}{3} {(2)}^{x}$
188224	Solve for x	sin(x)+cos(x)tan(x)^2=0	$\sin (x) + \cos (x) \tan^{2} (x) = 0$
188225	Solve for x	4/(x+3)=6/5	$\frac{4}{x + 3} = \frac{6}{5}$
188226	Evaluate Using the Given Value	6h when h=8	$6 h$ when $h = 8$
188227	Simplify	1^(-2/3)	$1^{- \frac{2}{3}}$
188228	Solve the System of Equations	-1/2x+1/5y=9 7x+1/3y=-2/3	$- \frac{1}{2} x + \frac{1}{5} y = 9$ $7 x + \frac{1}{3} y = - \frac{2}{3}$
188229	Solve the Inequality for x	6x^2-54<=0	$6 x^{2} - 54 \leq 0$
188230	Simplify	(2xy-5x^2y-6xy^2+4x^2y)-(5xy-3xy^2+8xy-3x^2y+12xy^2)	$(2 x y - 5 x^{2} y - 6 x y^{2} + 4 x^{2} y) - (5 x y - 3 x y^{2} + 8 x y - 3 x^{2} y + 12 x y^{2})$
188231	Evaluate	(x^2-3)^2	${(x^{2} - 3)}^{2}$
188232	Simplify	(2a+5)^2-5(4a+5)	${(2 a + 5)}^{2} - 5 (4 a + 5)$
188233	Solve for V₀	x=V_0t+1/2at^2	$x = V_{0} t + \frac{1}{2} a t^{2}$
188234	Simplify	(5x-3x^2-24)+(4x^2-6-4x)	$(5 x - 3 x^{2} - 24) + (4 x^{2} - 6 - 4 x)$
188235	Solve the System of Equations	x-2y=-4 3x+y=9	$x - 2 y = - 4$ $3 x + y = 9$
188236	Find All Complex Solutions	(x^2+20)/(x(x-2))=(14-x)/(x-2)	$\frac{x^{2} + 20}{x (x - 2)} = \frac{14 - x}{x - 2}$
188237	Evaluate	(65^2-64^2)/(23^2-20^2)	$\frac{65^{2} - 64^{2}}{23^{2} - 20^{2}}$
188238	Graph	y=1/2cos(2x-pi)	$y = \frac{1}{2} \cos (2 x - π)$
188239	Rationalize the Denominator	(5+2 square root of 3)/(4- square root of 3)	$\frac{5 + 2 \sqrt{3}}{4 - \sqrt{3}}$
188240	Solve for m	-9\|m\|=-63	$- 9 \| m \| = - 63$
188241	Simplify	(4/(x^2)-1)/(2/x+4/(x^2))	$\frac{\frac{4}{x^{2}} - 1}{\frac{2}{x} + \frac{4}{x^{2}}}$
188242	Solve for a	-6a>=-36	$- 6 a \geq - 36$
188243	Factor	(6x^2+4x)+(4x^2-8x)	$(6 x^{2} + 4 x) + (4 x^{2} - 8 x)$
188244	Find the Domain and Range	f(x)=(2x-5)/(x(x-3))	$f (x) = \frac{2 x - 5}{x (x - 3)}$
188245	Simplify	(z^2z^4)/(z^3z^-1)	$\frac{z^{2} z^{4}}{z^{3} z^{- 1}}$
188246	Graph	-x/2	$- \frac{x}{2}$
188247	Graph	y=(1/3x)^3	$y = {(\frac{1}{3} x)}^{3}$
188248	Solve for u	12-1/3u=2	$12 - \frac{1}{3} u = 2$
188249	Solve for y	2/3y+15-15=9-15	$\frac{2}{3} y + 15 - 15 = 9 - 15$
188250	Divide	(-2 1/4)÷(-1 1/2)	$- 2 \frac{1}{4} \div (- 1 \frac{1}{2})$
188251	Solve for m	-9=(m-1)/-3	$- 9 = \frac{m - 1}{- 3}$
188252	Evaluate	3.5+(1+4)*(6.5+1.5)	$3.5 + (1 + 4) \cdot (6.5 + 1.5)$
188253	Solve for a	(x^3)/( sixth root of x^5)=x^a	$\frac{x^{3}}{\sqrt[6]{x^{5}}} = x^{a}$
188254	Solve for x	natural log of x+ natural log of x-3 = natural log of 5x-7	$\ln (x) + \ln (x - 3) = \ln (5 x - 7)$
188255	Write the Fraction in Simplest Form	2/3+1/6	$\frac{2}{3} + \frac{1}{6}$
188256	Solve the Inequality for H	65+28H<=250	$65 + 28 H \leq 250$
188257	Solve for x	x-(4+x)=x+4	$x - (4 + x) = x + 4$
188258	Graph	f(x)=-f(x)	$f (x) = - f (x)$
188259	Factor	64m^2-(m-2n)^2	$64 m^{2} - {(m - 2 n)}^{2}$
188260	Graph	y<x^2 4x-3y<12	$y < x^{2}$ $4 x - 3 y < 12$
188261	Solve for a	4- square root of a=2	$4 - \sqrt{a} = 2$
188262	Find the Distance Between Two Points	(5,3) and (3,6)	$(5, 3)$ and $(3, 6)$
188263	Solve for r	7r=-7/2	$7 r = - \frac{7}{2}$
188264	Graph	f(x)=x+1 if x<=-5; x-7 if x>5	$f (x) = {\begin{cases} x + 1 & x \leq - 5 \\ x - 7 & x > 5 \end{cases}$
188265	Evaluate	((2 square root of 5)/5)^2	${(\frac{2 \sqrt{5}}{5})}^{2}$
188266	Graph	y=e^(x/2)	$y = e^{\frac{x}{2}}$
188267	Evaluate	cos(2theta)=( square root of 3)/2	$\cos (2 θ) = \frac{\sqrt{3}}{2}$
188268	Solve for x	log base x of 7x-10=2	$\log_{x} (7 x - 10) = 2$
188269	Simplify	limit as x approaches 3 of ( square root of x+1-2)/(x-3)	$lim_{x \to 3} \frac{\sqrt{x + 1} - 2}{x - 3}$
188270	Solve for θ	tan(theta)-3cot(theta)=0	$\tan (θ) - 3 \cot (θ) = 0$
188271	Simplify	2i(7+3i)+5(-5i)	$2 i (7 + 3 i) + 5 (- 5 i)$
188272	Solve for h	V=1/3s^2h ; solve for h	$V = \frac{1}{3} s^{2} h$ ; solve for $h$
188273	Simplify	(1/3)^2+3^2	${(\frac{1}{3})}^{2} + 3^{2}$
188274	Write as a Single Logarithm	log base 4 of 3+( log base 4 of 5)/3+( log base 4 of 7)/3	$\log_{4} (3) + \frac{\log_{4} (5)}{3} + \frac{\log_{4} (7)}{3}$
188275	Find the Domain and Range	y=(x+1)/2	$y = \frac{x + 1}{2}$
188276	Convert to Interval Notation	y<2x^2+3x-5	$y < 2 x^{2} + 3 x - 5$
188277	Write in Standard Form	x/3+y/2=1	$\frac{x}{3} + \frac{y}{2} = 1$
188278	Write in Standard Form	x^2=36	$x^{2} = 36$
188279	Simplify	9(6x-2)-3(9x^2-3)	$9 (6 x - 2) - 3 (9 x^{2} - 3)$
188280	Convert to Interval Notation	-x^2-3x+18<=0	$- x^{2} - 3 x + 18 \leq 0$
188281	Simplify	(54x^0y^5)/(9x^3y)	$\frac{54 x^{0} y^{5}}{9 x^{3} y}$
188282	Convert to a Decimal	260deg	$260$ degrees
188283	Simplify	-4b(-3b-5)-5(-2b-3)	$- 4 b (- 3 b - 5) - 5 (- 2 b - 3)$
188284	Solve for x	6(x+4)-(x+3)=x-1	$6 (x + 4) - (x + 3) = x - 1$
188285	Simplify	(2i)^3*(5i)	${(2 i)}^{3} \cdot (5 i)$
188286	Graph	3y+4x=-2x^2-14	$3 y + 4 x = - 2 x^{2} - 14$
188287	Write in Standard Form	3x-4y=8-4x	$3 x - 4 y = 8 - 4 x$
188288	Solve the Inequality for x	2x(3x-2)+6x<6x^2-5x	$2 x (3 x - 2) + 6 x < 6 x^{2} - 5 x$
188289	Factor	-x^5+62x^3-48x^2-277x-168	$- x^{5} + 62 x^{3} - 48 x^{2} - 277 x - 168$
188290	Multiply	4r^-3*2r^2	$4 r^{- 3} \cdot 2 r^{2}$
188291	Graph	cot(theta)<0	$\cot (θ) < 0$
188292	Solve the Inequality for P	6(2P-1)>5P+2	$6 (2 P - 1) > 5 P + 2$
188293	Divide	2.463÷(10^4)	$2.463 \div 10^{4}$
188294	Solve for x	1/2(4x-8)+3x=36	$\frac{1}{2} (4 x - 8) + 3 x = 36$
188295	Find the Roots (Zeros)	x^4=8x^2+9	$x^{4} = 8 x^{2} + 9$
188296	Find All Complex Solutions	tan(theta)=2sin(theta)	$\tan (θ) = 2 \sin (θ)$
188297	Factor	ax+bx+cx+ay+by+cy	$a x + b x + c x + a y + b y + c y$
188298	Find the x and y Intercepts	x+y-1=0	$x + y - 1 = 0$
188299	Solve for m	-6m-6+8m=-5+2m-1	$- 6 m - 6 + 8 m = - 5 + 2 m - 1$
188300	Solve for x	-2(4-x)=6(x+2)+3x	$- 2 (4 - x) = 6 (x + 2) + 3 x$