Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
188201	Find the Inverse	f(x)=500(0.04-x^2)	$f (x) = 500 (0.04 - x^{2})$
188202	Solve for x	f(-2)=3^x	$f (- 2) = 3^{x}$
188203	Solve for w	30w-(-w+6)+(-5w+4)=-(5w+6)+(-8+3w)	$30 w - (- w + 6) + (- 5 w + 4) = - (5 w + 6) + (- 8 + 3 w)$
188204	Solve the Inequality for x	(2x-1)/(x+4)>=0	$\frac{2 x - 1}{x + 4} \geq 0$
188205	Solve the System of Equations	-14=-20y-7x 10y+4=2x	$- 14 = - 20 y - 7 x$ $10 y + 4 = 2 x$
188206	Divide	3/42/5	$\frac{3}{4} \cdot \frac{2}{5}$
188207	Evaluate	x(x-2)	$x (x - 2)$
188208	Graph Using a Table of Values	f(x)=4/3(2)^x	$f (x) = \frac{4}{3} {(2)}^{x}$
188209	Solve for x	sin(x)+cos(x)tan(x)^2=0	$\sin (x) + \cos (x) \tan^{2} (x) = 0$
188210	Solve for x	4/(x+3)=6/5	$\frac{4}{x + 3} = \frac{6}{5}$
188211	Evaluate Using the Given Value	6h when h=8	$6 h$ when $h = 8$
188212	Simplify	1^(-2/3)	$1^{- \frac{2}{3}}$
188213	Solve the System of Equations	-1/2x+1/5y=9 7x+1/3y=-2/3	$- \frac{1}{2} x + \frac{1}{5} y = 9$ $7 x + \frac{1}{3} y = - \frac{2}{3}$
188214	Solve the Inequality for x	6x^2-54<=0	$6 x^{2} - 54 \leq 0$
188215	Simplify	(2xy-5x^2y-6xy^2+4x^2y)-(5xy-3xy^2+8xy-3x^2y+12xy^2)	$(2 x y - 5 x^{2} y - 6 x y^{2} + 4 x^{2} y) - (5 x y - 3 x y^{2} + 8 x y - 3 x^{2} y + 12 x y^{2})$
188216	Evaluate	(x^2-3)^2	${(x^{2} - 3)}^{2}$
188217	Simplify	(2a+5)^2-5(4a+5)	${(2 a + 5)}^{2} - 5 (4 a + 5)$
188218	Solve for V₀	x=V_0t+1/2at^2	$x = V_{0} t + \frac{1}{2} a t^{2}$
188219	Simplify	(5x-3x^2-24)+(4x^2-6-4x)	$(5 x - 3 x^{2} - 24) + (4 x^{2} - 6 - 4 x)$
188220	Solve the System of Equations	x-2y=-4 3x+y=9	$x - 2 y = - 4$ $3 x + y = 9$
188221	Find All Complex Solutions	(x^2+20)/(x(x-2))=(14-x)/(x-2)	$\frac{x^{2} + 20}{x (x - 2)} = \frac{14 - x}{x - 2}$
188222	Evaluate	(65^2-64^2)/(23^2-20^2)	$\frac{65^{2} - 64^{2}}{23^{2} - 20^{2}}$
188223	Graph	y=1/2cos(2x-pi)	$y = \frac{1}{2} \cos (2 x - π)$
188224	Rationalize the Denominator	(5+2 square root of 3)/(4- square root of 3)	$\frac{5 + 2 \sqrt{3}}{4 - \sqrt{3}}$
188225	Solve for m	-9\|m\|=-63	$- 9 \| m \| = - 63$
188226	Simplify	(4/(x^2)-1)/(2/x+4/(x^2))	$\frac{\frac{4}{x^{2}} - 1}{\frac{2}{x} + \frac{4}{x^{2}}}$
188227	Solve for a	-6a>=-36	$- 6 a \geq - 36$
188228	Factor	(6x^2+4x)+(4x^2-8x)	$(6 x^{2} + 4 x) + (4 x^{2} - 8 x)$
188229	Find the Domain and Range	f(x)=(2x-5)/(x(x-3))	$f (x) = \frac{2 x - 5}{x (x - 3)}$
188230	Simplify	(z^2z^4)/(z^3z^-1)	$\frac{z^{2} z^{4}}{z^{3} z^{- 1}}$
188231	Graph	-x/2	$- \frac{x}{2}$
188232	Graph	y=(1/3x)^3	$y = {(\frac{1}{3} x)}^{3}$
188233	Solve for u	12-1/3u=2	$12 - \frac{1}{3} u = 2$
188234	Solve for y	2/3y+15-15=9-15	$\frac{2}{3} y + 15 - 15 = 9 - 15$
188235	Divide	(-2 1/4)÷(-1 1/2)	$- 2 \frac{1}{4} \div (- 1 \frac{1}{2})$
188236	Solve for m	-9=(m-1)/-3	$- 9 = \frac{m - 1}{- 3}$
188237	Evaluate	3.5+(1+4)*(6.5+1.5)	$3.5 + (1 + 4) \cdot (6.5 + 1.5)$
188238	Solve for a	(x^3)/( sixth root of x^5)=x^a	$\frac{x^{3}}{\sqrt[6]{x^{5}}} = x^{a}$
188239	Solve for x	natural log of x+ natural log of x-3 = natural log of 5x-7	$\ln (x) + \ln (x - 3) = \ln (5 x - 7)$
188240	Write the Fraction in Simplest Form	2/3+1/6	$\frac{2}{3} + \frac{1}{6}$
188241	Solve the Inequality for H	65+28H<=250	$65 + 28 H \leq 250$
188242	Solve for x	x-(4+x)=x+4	$x - (4 + x) = x + 4$
188243	Graph	f(x)=-f(x)	$f (x) = - f (x)$
188244	Factor	64m^2-(m-2n)^2	$64 m^{2} - {(m - 2 n)}^{2}$
188245	Graph	y<x^2 4x-3y<12	$y < x^{2}$ $4 x - 3 y < 12$
188246	Solve for a	4- square root of a=2	$4 - \sqrt{a} = 2$
188247	Find the Distance Between Two Points	(5,3) and (3,6)	$(5, 3)$ and $(3, 6)$
188248	Solve for r	7r=-7/2	$7 r = - \frac{7}{2}$
188249	Graph	f(x)=x+1 if x<=-5; x-7 if x>5	$f (x) = {\begin{cases} x + 1 & x \leq - 5 \\ x - 7 & x > 5 \end{cases}$
188250	Evaluate	((2 square root of 5)/5)^2	${(\frac{2 \sqrt{5}}{5})}^{2}$
188251	Graph	y=e^(x/2)	$y = e^{\frac{x}{2}}$
188252	Evaluate	cos(2theta)=( square root of 3)/2	$\cos (2 θ) = \frac{\sqrt{3}}{2}$
188253	Solve for x	log base x of 7x-10=2	$\log_{x} (7 x - 10) = 2$
188254	Simplify	limit as x approaches 3 of ( square root of x+1-2)/(x-3)	$lim_{x \to 3} \frac{\sqrt{x + 1} - 2}{x - 3}$
188255	Solve for θ	tan(theta)-3cot(theta)=0	$\tan (θ) - 3 \cot (θ) = 0$
188256	Simplify	2i(7+3i)+5(-5i)	$2 i (7 + 3 i) + 5 (- 5 i)$
188257	Solve for h	V=1/3s^2h ; solve for h	$V = \frac{1}{3} s^{2} h$ ; solve for $h$
188258	Simplify	(1/3)^2+3^2	${(\frac{1}{3})}^{2} + 3^{2}$
188259	Write as a Single Logarithm	log base 4 of 3+( log base 4 of 5)/3+( log base 4 of 7)/3	$\log_{4} (3) + \frac{\log_{4} (5)}{3} + \frac{\log_{4} (7)}{3}$
188260	Find the Domain and Range	y=(x+1)/2	$y = \frac{x + 1}{2}$
188261	Convert to Interval Notation	y<2x^2+3x-5	$y < 2 x^{2} + 3 x - 5$
188262	Write in Standard Form	x/3+y/2=1	$\frac{x}{3} + \frac{y}{2} = 1$
188263	Write in Standard Form	x^2=36	$x^{2} = 36$
188264	Simplify	9(6x-2)-3(9x^2-3)	$9 (6 x - 2) - 3 (9 x^{2} - 3)$
188265	Convert to Interval Notation	-x^2-3x+18<=0	$- x^{2} - 3 x + 18 \leq 0$
188266	Simplify	(54x^0y^5)/(9x^3y)	$\frac{54 x^{0} y^{5}}{9 x^{3} y}$
188267	Convert to a Decimal	260deg	$260$ degrees
188268	Simplify	-4b(-3b-5)-5(-2b-3)	$- 4 b (- 3 b - 5) - 5 (- 2 b - 3)$
188269	Solve for x	6(x+4)-(x+3)=x-1	$6 (x + 4) - (x + 3) = x - 1$
188270	Simplify	(2i)^3*(5i)	${(2 i)}^{3} \cdot (5 i)$
188271	Graph	3y+4x=-2x^2-14	$3 y + 4 x = - 2 x^{2} - 14$
188272	Write in Standard Form	3x-4y=8-4x	$3 x - 4 y = 8 - 4 x$
188273	Solve the Inequality for x	2x(3x-2)+6x<6x^2-5x	$2 x (3 x - 2) + 6 x < 6 x^{2} - 5 x$
188274	Factor	-x^5+62x^3-48x^2-277x-168	$- x^{5} + 62 x^{3} - 48 x^{2} - 277 x - 168$
188275	Multiply	4r^-3*2r^2	$4 r^{- 3} \cdot 2 r^{2}$
188276	Graph	cot(theta)<0	$\cot (θ) < 0$
188277	Solve the Inequality for P	6(2P-1)>5P+2	$6 (2 P - 1) > 5 P + 2$
188278	Divide	2.463÷(10^4)	$2.463 \div 10^{4}$
188279	Solve for x	1/2(4x-8)+3x=36	$\frac{1}{2} (4 x - 8) + 3 x = 36$
188280	Find the Roots (Zeros)	x^4=8x^2+9	$x^{4} = 8 x^{2} + 9$
188281	Find All Complex Solutions	tan(theta)=2sin(theta)	$\tan (θ) = 2 \sin (θ)$
188282	Factor	ax+bx+cx+ay+by+cy	$a x + b x + c x + a y + b y + c y$
188283	Find the x and y Intercepts	x+y-1=0	$x + y - 1 = 0$
188284	Solve for m	-6m-6+8m=-5+2m-1	$- 6 m - 6 + 8 m = - 5 + 2 m - 1$
188285	Solve for x	-2(4-x)=6(x+2)+3x	$- 2 (4 - x) = 6 (x + 2) + 3 x$
188286	Find the Inverse	f(x) = cube root of x^5-3	$f (x) = \sqrt[3]{x^{5} - 3}$
188287	Evaluate	arcsin(cos(-pi/2))	$\arcsin (\cos (- \frac{π}{2}))$
188288	Solve the Inequality for t	7t+15<3t-8	$7 t + 15 < 3 t - 8$
188289	Simplify	(2a^(3/2)b)/(8a^(7/2)b^(1/2))	$\frac{2 a^{\frac{3}{2}} b}{8 a^{\frac{7}{2}} b^{\frac{1}{2}}}$
188290	Simplify	(sin(x)^2)/(cos(x)^2)+sin(x)csc(x)	$\frac{\sin^{2} (x)}{\cos^{2} (x)} + \sin (x) \csc (x)$
188291	Convert to Meters	7cm	$7 cm$
188292	Simplify	(-6i)-(6i)	$(- 6 i) - (6 i)$
188293	Simplify	((m^3)^6)÷(m^18)	${(m^{3})}^{6} \div m^{18}$
188294	Solve for h	V=pir^2h ; for h	$V = π r^{2} h$ ; for $h$
188295	Divide	-2/(1/2)	$- \frac{2}{\frac{1}{2}}$
188296	Solve for x	x-1/2=8	$x - \frac{1}{2} = 8$
188297	Solve by Factoring	(x^2-3x)=0	$(x^{2} - 3 x) = 0$
188298	Multiply	(6a)/b*c/(9a)	$\frac{6 a}{b} \cdot \frac{c}{9 a}$
188299	Solve the System of Equations	20x-5y=5 4x-y=1	$20 x - 5 y = 5$ $4 x - y = 1$
188300	Solve for x	3/4x-4=40-2x	$\frac{3}{4} x - 4 = 40 - 2 x$