Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
187101	Factor	4(x-5)^2+3(x-5)	$4 {(x - 5)}^{2} + 3 (x - 5)$
187102	Solve for x	x/5=1/(x+4)	$\frac{x}{5} = \frac{1}{x + 4}$
187103	Write in Standard Form	3x(2+2x)=x(5x-5)	$3 x (2 + 2 x) = x (5 x - 5)$
187104	Solve for x	1/7+1/x=1/5	$\frac{1}{7} + \frac{1}{x} = \frac{1}{5}$
187105	Simplify	-2x^2 square root of 7x+ square root of 7x^5	$- 2 x^{2} \sqrt{7 x} + \sqrt{7 x^{5}}$
187106	Solve for θ	sin(2theta)=0	$\sin (2 θ) = 0$
187107	Evaluate	6*2pi	$6 \cdot 2 π$
187108	Multiply	1/65/82	$\frac{1}{6} \cdot \frac{5}{8} \cdot 2$
187109	Find the Distance Between Two Points	(0,-6) and (9,-1)	$(0, - 6)$ and $(9, - 1)$
187110	Evaluate	3\|3(-3)-8*2\|-3	$3 \| 3 (- 3) - 8 \cdot 2 \| - 3$
187111	Simplify	(8x^4y^-3)(1/2x^-5y^2)	$(8 x^{4} y^{- 3}) (\frac{1}{2} x^{- 5} y^{2})$
187112	Find the Exact Value	2/3-1/2	$\frac{2}{3} - \frac{1}{2}$
187113	Find the Distance Between Two Points	(3,-3) and (-3,5)	$(3, - 3)$ and $(- 3, 5)$
187114	Solve for x	(3x)/(x+5)-8/x=2/x	$\frac{3 x}{x + 5} - \frac{8}{x} = \frac{2}{x}$
187115	Solve the Inequality for x	x^2<2	$x^{2} < 2$
187116	Solve for x	3/(5x)+7/(2x)=1	$\frac{3}{5 x} + \frac{7}{2 x} = 1$
187117	Solve the Inequality for x	(3x-10)/(11+2x)<0	$\frac{3 x - 10}{11 + 2 x} < 0$
187118	Simplify	((x+4)/3+1/x)/(3/x+3/(x^2))	$\frac{\frac{x + 4}{3} + \frac{1}{x}}{\frac{3}{x} + \frac{3}{x^{2}}}$
187119	Multiply	x(2/x+1/y)	$x (\frac{2}{x} + \frac{1}{y})$
187120	Subtract	7/4-1/2	$\frac{7}{4} - \frac{1}{2}$
187121	Evaluate Using the Given Value	3(x-4)+2x-x^2 for x=3	$3 (x - 4) + 2 x - x^{2}$ for $x = 3$
187122	Solve the System of Inequalities	y<=-3x-2 y>x-2	$y \leq - 3 x - 2$ $y > x - 2$
187123	Simplify	12/11-(-2/3)	$\frac{12}{11} - (- \frac{2}{3})$
187124	Graph	f(x)<=x^2+6x+5	$f (x) \leq x^{2} + 6 x + 5$
187125	Solve the Inequality for x	(2x-8)/((x-2)(x-8))<0	$\frac{2 x - 8}{(x - 2) (x - 8)} < 0$
187126	Solve for q	7/4q-2=-5	$\frac{7}{4} q - 2 = - 5$
187127	Solve for x	-9x^2+12x-4=0	$- 9 x^{2} + 12 x - 4 = 0$
187128	Solve for P	A=P(1+r)^t	$A = P {(1 + r)}^{t}$
187129	Solve for p	-p/12=6	$- \frac{p}{12} = 6$
187130	Find the Exact Value	arctan(tan(-pi/8))	$\arctan (\tan (- \frac{π}{8}))$
187131	Solve for x	((x-2)(x+6))/(7(x+6))=(x-2)/7	$\frac{(x - 2) (x + 6)}{7 (x + 6)} = \frac{x - 2}{7}$
187132	Find the x and y Intercepts	f(x)=-(x+2)^2(x-4)(x-3)	$f (x) = - {(x + 2)}^{2} (x - 4) (x - 3)$
187133	Simplify the Radical Expression	fourth root of 256x^2y^16	$\sqrt[4]{256 x^{2} y^{16}}$
187134	Simplify	(7r^3+6+7r^2-4r^4)-(-7r^4+8r^2-8r^3-8)	$(7 r^{3} + 6 + 7 r^{2} - 4 r^{4}) - (- 7 r^{4} + 8 r^{2} - 8 r^{3} - 8)$
187135	Solve for x	4x-(8-x)-2=9x-20+x-5	$4 x - (8 - x) - 2 = 9 x - 20 + x - 5$
187136	Find the Roots (Zeros)	-21x+10=-10x^2	$- 21 x + 10 = - 10 x^{2}$
187137	Find the Exact Value	(7/8)÷(-9/5)	$\frac{7}{8} \div (- \frac{9}{5})$
187138	Evaluate	-3*(-1/2)	$- 3 \cdot (- \frac{1}{2})$
187139	Simplify	6(7+x)+5x	$6 (7 + x) + 5 x$
187140	Write in Standard Form	(5x^3+7x-8)+(2x^3-5x^2-x+3)	$(5 x^{3} + 7 x - 8) + (2 x^{3} - 5 x^{2} - x + 3)$
187141	Simplify	(1+csc(-theta))/(csc(-theta))	$\frac{1 + \csc (- θ)}{\csc (- θ)}$
187142	Find the Domain and Range	y=x/(x+2)	$y = \frac{x}{x + 2}$
187143	Simplify	( square root of x-2+3(x-2)^(1/2))/(x^2-4x+4)	$\frac{\sqrt{x - 2} + 3 {(x - 2)}^{\frac{1}{2}}}{x^{2} - 4 x + 4}$
187144	Solve the Rational Equation for x	8/x-8=x/(2x-1)	$\frac{8}{x} - 8 = \frac{x}{2 x - 1}$
187145	Solve for X	X^2=8^2+15^2	$X^{2} = 8^{2} + 15^{2}$
187146	Simplify	(4x+4)(ax-1)-x^2+4	$(4 x + 4) (a x - 1) - x^{2} + 4$
187147	Find the Exact Value	1/3+1	$\frac{1}{3} + 1$
187148	Solve the Inequality for y	(7-2y)/6>(3y-7)/12	$\frac{7 - 2 y}{6} > \frac{3 y - 7}{12}$
187149	Solve for n	3+5n=1+8n+2	$3 + 5 n = 1 + 8 n + 2$
187150	Solve for x	x^3-7X-6=0	$x^{3} - 7 X - 6 = 0$
187151	Solve Using the Quadratic Formula	f(x)=x^2+x-2	$f (x) = x^{2} + x - 2$
187152	Solve for b	x^2+bx+c=0	$x^{2} + b x + c = 0$
187153	Factor	8x^6+7x^3-1	$8 x^{6} + 7 x^{3} - 1$
187154	Find the x and y Intercepts	P(x)=(1-3x)/(1-x)	$P (x) = \frac{1 - 3 x}{1 - x}$
187155	Solve for y	x=2piy	$x = 2 π y$
187156	Solve for v	(v-3)/(v+5)=-12/7	$\frac{v - 3}{v + 5} = - \frac{12}{7}$
187157	Multiply	2/3*1/2	$\frac{2}{3} \cdot \frac{1}{2}$
187158	Solve for x	log base 3 of x+1 = log base 6 of 5-x	$\log_{3} (x + 1) = \log_{6} (5 - x)$
187159	Combine Like Terms	(3x+7)(3x-7)	$(3 x + 7) (3 x - 7)$
187160	Factor	(x-3y)^2-(y-x)^2	${(x - 3 y)}^{2} - {(y - x)}^{2}$
187161	Graph	x<=-2 or x>3	$x \leq - 2$ or $x > 3$
187162	Find the Product	(6x+5)(6x-5)	$(6 x + 5) (6 x - 5)$
187163	Find the Domain and Range	y=1/( square root of 4-x^2)	$y = \frac{1}{\sqrt{4 - x^{2}}}$
187164	Convert to a Decimal	2.5rad	$2.5$ radians
187165	Simplify	8(7-3x)+x-55	$8 (7 - 3 x) + x - 55$
187166	Find the Distance Between Two Points	(3,-6) and (-3,2)	$(3, - 6)$ and $(- 3, 2)$
187167	Solve for w	square root of w^2-20-2=2	$\sqrt{w^{2} - 20} - 2 = 2$
187168	Find the Distance Between Two Points	(-1,2) and (1,6)	$(- 1, 2)$ and $(1, 6)$
187169	Solve for x	5ax+3ax=4ax+12	$5 a x + 3 a x = 4 a x + 12$
187170	Find the x and y Intercepts	f(x)=-x^2+8x^3+5x-9+2x^4	$f (x) = - x^{2} + 8 x^{3} + 5 x - 9 + 2 x^{4}$
187171	Multiply	1/9*6	$\frac{1}{9} \cdot 6$
187172	Graph	f(x)=x/2-1	$f (x) = \frac{x}{2} - 1$
187173	Solve the Inequality for x	x^2+x-12>=0	$x^{2} + x - 12 \geq 0$
187174	Graph	f(x)=1/2\|x+1\|-2	$f (x) = \frac{1}{2} \| x + 1 \| - 2$
187175	Simplify	2ab-5a+3b-2-(-4a+7b+3ab-4)	$2 a b - 5 a + 3 b - 2 - (- 4 a + 7 b + 3 a b - 4)$
187176	Find f(g(x))	f(x)=x/(x+1) , g(x)=1/x	$f (x) = \frac{x}{x + 1}$ , $g (x) = \frac{1}{x}$
187177	Simplify	square root of 3m^3* square root of 12m	$\sqrt{3 m^{3}} \cdot \sqrt{12 m}$
187178	Describe the Transformation	f(x)=1/2\|x-1\|-1	$f (x) = \frac{1}{2} \| x - 1 \| - 1$
187179	Factor	(x-2)/(x^2-4)	$\frac{x - 2}{x^{2} - 4}$
187180	Solve for f	4\|f-6\|<=12	$4 \| f - 6 \| \leq 12$
187181	Find the Perfect Square Trinomial	a^2-b^2	$a^{2} - b^{2}$
187182	Solve for y	-3(1/6y)-18=72	$- 3 (\frac{1}{6} y) - 18 = 72$
187183	Simplify	a-(4b-(a-(5b-c)+3c-(a-b-9c)))	$a - (4 b - (a - (5 b - c) + 3 c - (a - b - 9 c)))$
187184	Find the Distance Between Two Points	(-3,3) and (-1,5)	$(- 3, 3)$ and $(- 1, 5)$
187185	Simplify	((4x^2y^5)^2)/((2xy^2)^3(3x^3)^2)	$\frac{{(4 x^{2} y^{5})}^{2}}{{(2 x y^{2})}^{3} {(3 x^{3})}^{2}}$
187186	Solve for x	-5=3 1/2x	$- 5 = 3 \frac{1}{2} x$
187187	Solve for y	natural log of 2y-1=3	$\ln (2 y - 1) = 3$
187188	Evaluate	(8y^2)/(2 fourth root of y)	$\frac{8 y^{2}}{2 \sqrt[4]{y}}$
187189	Simplify	(3x-1)/(2x)+(3x)/(x-1)	$\frac{3 x - 1}{2 x} + \frac{3 x}{x - 1}$
187190	Simplify	(24a^-7b^-2c)/(6a^-2b^-3c^-6)	$\frac{24 a^{- 7} b^{- 2} c}{6 a^{- 2} b^{- 3} c^{- 6}}$
187191	Simplify	((x^2-9)/(x^2-5x+6))÷((x^2+5x+6)/(x^2-4))	$\frac{x^{2} - 9}{x^{2} - 5 x + 6} \div \frac{x^{2} + 5 x + 6}{x^{2} - 4}$
187192	Solve for x	x-1=(x^2-4x+3)/(x+2)	$x - 1 = \frac{x^{2} - 4 x + 3}{x + 2}$
187193	Find the Roots (Zeros)	-x=-6x^2+1	$- x = - 6 x^{2} + 1$
187194	Simplify	(-12az^2-2z^3)+(-2a^3+7a^2z)-(-4a^2z+8az^2)	$(- 12 a z^{2} - 2 z^{3}) + (- 2 a^{3} + 7 a^{2} z) - (- 4 a^{2} z + 8 a z^{2})$
187195	Solve by Factoring	0=-x^2+6x	$0 = - x^{2} + 6 x$
187196	Subtract	Subtract -7x^2+4x+2 from x^2-3	Subtract $- 7 x^{2} + 4 x + 2$ from $x^{2} - 3$
187197	Convert to Interval Notation	1/2+12/(x^2)>5/x	$\frac{1}{2} + \frac{12}{x^{2}} > \frac{5}{x}$
187198	Find the Domain and Range	f(x)=-1/2(x+3)^2	$f (x) = - \frac{1}{2} {(x + 3)}^{2}$
187199	Find the Holes in the Graph	(5x)/(2x-5)	$\frac{5 x}{2 x - 5}$
187200	Solve for x	3^(2x+1)*3^x=243	$3^{2 x + 1} \cdot 3^{x} = 243$