Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
189101	Evaluate	0-pi/2	$0 - \frac{π}{2}$
189102	Simplify	2/(x^2-3x)+5/(x^2+x-12)	$\frac{2}{x^{2} - 3 x} + \frac{5}{x^{2} + x - 12}$
189103	Graph	tan(theta)>0 and cos(theta)>0	$\tan (θ) > 0$ and $\cos (θ) > 0$
189104	Solve for x	1/2(2-6x)-4(x+3/2)=-(x-3)+4	$\frac{1}{2} (2 - 6 x) - 4 (x + \frac{3}{2}) = - (x - 3) + 4$
189105	Find the x and y Intercepts	\|x\|	$\| x \|$
189106	Combine Like Terms	4q+3+2q-1	$4 q + 3 + 2 q - 1$
189107	Solve for x	3x+1/(x-2)=-(2x)/(x-2)	$3 x + \frac{1}{x - 2} = - \frac{2 x}{x - 2}$
189108	Write in Exponential Form	sixth root of x^3	$\sqrt[6]{x^{3}}$
189109	Solve for x	cube root of x-1-4=0	$\sqrt[3]{x - 1} - 4 = 0$
189110	Divide	((5y)/(y^2+4y+4))÷((20y^2)/(y^2-4))	$\frac{5 y}{y^{2} + 4 y + 4} \div \frac{20 y^{2}}{y^{2} - 4}$
189111	Simplify	((b-4)/(b^2-14b+40))÷((b^2+6b+8)/(b^2-3b-70))	$\frac{b - 4}{b^{2} - 14 b + 40} \div \frac{b^{2} + 6 b + 8}{b^{2} - 3 b - 70}$
189112	Find the Perpendicular Line	(2,6) and perpendicular to 3x+5y=1	$(2, 6)$ and perpendicular to $3 x + 5 y = 1$
189113	Find q(p(x))	p(x)=x^2+6 q(x) = square root of x+9	$p (x) = x^{2} + 6$ $q (x) = \sqrt{x + 9}$
189114	Simplify	3xy3xy3xy3xy3xy	$3 x y \cdot 3 x y \cdot 3 x y \cdot 3 x y \cdot 3 x y$
189115	Evaluate	cos(x)=-1	$\cos (x) = - 1$
189116	Describe the Transformation	g(x)=f(x+2)-5	$g (x) = f (x + 2) - 5$
189117	Find f(g(x))	f(x) = square root of x and g(x)=x-3	$f (x) = \sqrt{x}$ and $g (x) = x - 3$
189118	Find the Domain and Range	f^-1(x)=x/6+7/6	$f^{- 1} (x) = \frac{x}{6} + \frac{7}{6}$
189119	Find the Exact Value	2cos(165 degrees )^2-1	$2 \cos^{2} (165 °) - 1$
189120	Solve for w	log of w^2+21 = log of 10w	$\log (w^{2} + 21) = \log (10 w)$
189121	Simplify the Radical Expression	(9^-3)(9^12)	$(9^{- 3}) (9^{12})$
189122	Solve for f	25/(f+2)=5/3	$\frac{25}{f + 2} = \frac{5}{3}$
189123	Solve for n	24=13n-4n+9	$24 = 13 n - 4 n + 9$
189124	Find the Product	(4+((2-5)^2-4(7-5)^3+2(15/3)))- square root of 16	$(4 + ({(2 - 5)}^{2} - 4 {(7 - 5)}^{3} + 2 (\frac{15}{3}))) - \sqrt{16}$
189125	Factor	y^2+xy-6x^2	$y^{2} + x y - 6 x^{2}$
189126	Solve the Inequality for x	(x+1)(x-5)(x^2-9)<0	$(x + 1) (x - 5) (x^{2} - 9) < 0$
189127	Find the Roots (Zeros)	f(x)=x^2+x-1	$f (x) = x^{2} + x - 1$
189128	Simplify	(3x^3-7-9x^2)+(10-3x^2-x+x^3)	$(3 x^{3} - 7 - 9 x^{2}) + (10 - 3 x^{2} - x + x^{3})$
189129	Graph	-3<y-7x<=15	$- 3 < y - 7 x \leq 15$
189130	Solve for x	4x^3-9x^2-1=1/2	$4 x^{3} - 9 x^{2} - 1 = \frac{1}{2}$
189131	Find the x and y Intercepts	y=(x+3)	$y = (x + 3)$
189132	Solve for x	64^(3x)=8^24	$64^{3 x} = 8^{24}$
189133	Evaluate	2sin(theta)^2-3sin(theta)+1=0	$2 \sin^{2} (θ) - 3 \sin (θ) + 1 = 0$
189134	Solve the Inequality for x	2/3-1/2x>=1/6+x	$\frac{2}{3} - \frac{1}{2} x \geq \frac{1}{6} + x$
189135	Solve for c	a=bc	$a = b c$
189136	Subtract	(6b^3+6-b^4)-(8b^3-6b^4+2)	$(6 b^{3} + 6 - b^{4}) - (8 b^{3} - 6 b^{4} + 2)$
189137	Find the Distance Between Two Points	(-2,-6) and (-7,6)	$(- 2, - 6)$ and $(- 7, 6)$
189138	Solve the System of Inequalities	-5x+6<-9 or 6x-4<=2	$- 5 x + 6 < - 9$ or $6 x - 4 \leq 2$
189139	Solve for x	1/3x-5/6=2/3x+1/6	$\frac{1}{3} x - \frac{5}{6} = \frac{2}{3} x + \frac{1}{6}$
189140	Solve for x	x/3=(x+2)/7	$\frac{x}{3} = \frac{x + 2}{7}$
189141	Evaluate the Function	f(1)=4(1/4)^(x+2)	$f (1) = 4 {(\frac{1}{4})}^{x + 2}$
189142	Find the Distance Between Two Points	(-1,4) and (8,2)	$(- 1, 4)$ and $(8, 2)$
189143	Solve for b	y=2x^2+bx+8	$y = 2 x^{2} + b x + 8$
189144	Solve the System of Equations	-12x=30y+60 2x+5y=20	$- 12 x = 30 y + 60$ $2 x + 5 y = 20$
189145	Simplify	sixth root of 7* sixth root of 7^5	$\sqrt[6]{7} \cdot \sqrt[6]{7^{5}}$
189146	Simplify	17x-6+3x-5=x+11+4x	$17 x - 6 + 3 x - 5 = x + 11 + 4 x$
189147	Solve for q	2(4)=(2q)/((-4+1)(-4-3))	$2 (4) = \frac{2 q}{(- 4 + 1) (- 4 - 3)}$
189148	Find the Domain and Range	f(x)=x^-2	$f (x) = x^{- 2}$
189149	Find the Roots (Zeros)	f(x)=25x^4-7x^3+2x+10	$f (x) = 25 x^{4} - 7 x^{3} + 2 x + 10$
189150	Solve Using the Square Root Property	3/2(x-10)^2=1/2	$\frac{3}{2} {(x - 10)}^{2} = \frac{1}{2}$
189151	Simplify	csc(x)(1-cos(x)^2)	$\csc (x) (1 - \cos^{2} (x))$
189152	Simplify the Radical Expression	( square root of 24)/8	$\frac{\sqrt{24}}{8}$
189153	Solve for x	45=37-8 natural log of x	$45 = 37 - 8 \ln (x)$
189154	Graph	f(x)=x-3x^(1/3)	$f (x) = x - 3 x^{\frac{1}{3}}$
189155	Evaluate	(cos(pi/4)+sin(pi/6))^2	${(\cos (\frac{π}{4}) + \sin (\frac{π}{6}))}^{2}$
189156	Find the Product	(4ab-7c)(ab+6c)	$(4 a b - 7 c) (a b + 6 c)$
189157	Solve the Absolute Value Inequality for p	53=5\|p-4\|+8	$53 = 5 \| p - 4 \| + 8$
189158	Simplify	(3xy^2+2x^2y-3xy+4x^2y^2)+(3x^2y^2-3xy+2xy^2-2x^2y)	$(3 x y^{2} + 2 x^{2} y - 3 x y + 4 x^{2} y^{2}) + (3 x^{2} y^{2} - 3 x y + 2 x y^{2} - 2 x^{2} y)$
189159	Find the x and y Intercepts	(4x+8)/(x^2+2x)	$\frac{4 x + 8}{x^{2} + 2 x}$
189160	Subtract	-5/12-3/10	$- \frac{5}{12} - \frac{3}{10}$
189161	Find All Complex Solutions	2cos(2x)- square root of 2=0	$2 \cos (2 x) - \sqrt{2} = 0$
189162	Simplify	-3xy^3(-9x)	$- 3 x y^{3} (- 9 x)$
189163	Convert to Interval Notation	x<=5 or x>=10	$x \leq 5$ or $x \geq 10$
189164	Solve for x	x/(x^2-1)+2/(x+1)=1/(2x-2)	$\frac{x}{x^{2} - 1} + \frac{2}{x + 1} = \frac{1}{2 x - 2}$
189165	Factor	ax+ay-bx-by	$a x + a y - b x - b y$
189166	Solve for b	(b+12)^2=81	${(b + 12)}^{2} = 81$
189167	Graph	g(x)=-f(x)-4	$g (x) = - f (x) - 4$
189168	Solve for t	\|3t-2\|<=10	$\| 3 t - 2 \| \leq 10$
189169	Rationalize the Denominator	(3- square root of 3)/(3+ square root of 3)	$\frac{3 - \sqrt{3}}{3 + \sqrt{3}}$
189170	Multiply	(-6x+5y)*(6x+2y)	$(- 6 x + 5 y) \cdot (6 x + 2 y)$
189171	Solve the Inequality for x	\|1/4x-1/3\|<=1/3	$\| \frac{1}{4} x - \frac{1}{3} \| \leq \frac{1}{3}$
189172	Solve for w	3.6w=1.6w+24	$3.6 w = 1.6 w + 24$
189173	Find the First Term	3^(n+1)	$3^{n + 1}$
189174	Solve for x	\|x-1/12\|<1/3	$\| x - \frac{1}{12} \| < \frac{1}{3}$
189175	Simplify	4/(9x^2-45x)-(6x)/(x^2-25)	$\frac{4}{9 x^{2} - 45 x} - \frac{6 x}{x^{2} - 25}$
189176	Find the First Term	a_n=2n^2	$a_{n} = 2 n^{2}$
189177	Write the Fraction in Simplest Form	(tan(t))/(sec(t)-cos(t))	$\frac{\tan (t)}{\sec (t) - \cos (t)}$
189178	Simplify	(7 square root of 2-3 square root of 3)(4 square root of 6+3 square root of 12)	$(7 \sqrt{2} - 3 \sqrt{3}) (4 \sqrt{6} + 3 \sqrt{12})$
189179	Simplify	(2-(x^2)/2)/((x^2)/4+x/2)	$\frac{2 - \frac{x^{2}}{2}}{\frac{x^{2}}{4} + \frac{x}{2}}$
189180	Evaluate	(9^2-2^6)- square root of 64+36÷3(4)	$(9^{2} - 2^{6}) - \sqrt{64} + 36 \div 3 (4)$
189181	Solve the System of Equations	y=x+1 y=1/2x+3	$y = x + 1$ $y = \frac{1}{2} x + 3$
189182	Find the Exact Value	arcsin(cos(-pi/2))	$\arcsin (\cos (- \frac{π}{2}))$
189183	Simplify	( square root of 8)/(2 square root of 14)	$\frac{\sqrt{8}}{2 \sqrt{14}}$
189184	Find g(f(x))	f(x)=3/x g(x)=3/x	$f (x) = \frac{3}{x}$ $g (x) = \frac{3}{x}$
189185	Graph	(1/2,-( square root of 3)/2)	$(\frac{1}{2}, - \frac{\sqrt{3}}{2})$
189186	Solve for x	2/(x-2)=x/(x-2)-2	$\frac{2}{x - 2} = \frac{x}{x - 2} - 2$
189187	Write as a Single Logarithm	log base b of 2+2 log base b of 5	$\log_{b} (2) + 2 \log_{b} (5)$
189188	Graph	x/3>=-2	$\frac{x}{3} \geq - 2$
189189	Find the Point-Slope Form	y=2x+1	$y = 2 x + 1$
189190	Graph	p(x)=(x^2-1)(x^2-5x+6)	$p (x) = (x^{2} - 1) (x^{2} - 5 x + 6)$
189191	Find the LCM	3ax+12a , 2bx^2+6bx-8b	$3 a x + 12 a$ , $2 b x^{2} + 6 b x - 8 b$
189192	Simplify	(a-1)/3+(2a)/6+(3a+4)/12	$\frac{a - 1}{3} + \frac{2 a}{6} + \frac{3 a + 4}{12}$
189193	Find the Product	(4x+3y)(4x-3y)	$(4 x + 3 y) (4 x - 3 y)$
189194	Simplify	3a(6a^2-4ab^2)+8a^2b^2-2b^3	$3 a (6 a^{2} - 4 a b^{2}) + 8 a^{2} b^{2} - 2 b^{3}$
189195	Solve the Inequality for x	log base 3 of x-3 log base 3 of 2<=1	$\log_{3} (x) - 3 \log_{3} (2) \leq 1$
189196	Find the Distance Between Two Points	(-4,5) and (4,0)	$(- 4, 5)$ and $(4, 0)$
189197	Simplify	4/(2ab^2)*(ab)/4	$\frac{4}{2 a b^{2}} \cdot \frac{a b}{4}$
189198	Graph	Graph -2x+y=8	Graph $- 2 x + y = 8$
189199	Solve for x	x+ square root of 5=12	$x + \sqrt{5} = 12$
189200	Write in Standard Form	(2x-3)^2=-5	${(2 x - 3)}^{2} = - 5$