Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
195201	Factor	(a-2b)(x-2y)+(2b-a)(x-y)	$(a - 2 b) (x - 2 y) + (2 b - a) (x - y)$
195202	Graph	F(x)=x^12+12x-5	$F (x) = x^{12} + 12 x - 5$
195203	Multiply	-2*(-1/4)	$- 2 \cdot (- \frac{1}{4})$
195204	Evaluate Using the Given Value	sin(theta) if cos(theta)=4/5	$\sin (θ)$ if $\cos (θ) = \frac{4}{5}$
195205	Find f(g(x))	f(x)=x+1 and g(x)=x-1	$f (x) = x + 1$ and $g (x) = x - 1$
195206	Solve for x	square root of 3^x=9	$\sqrt{3^{x}} = 9$
195207	Simplify	(2m+4)/8+(m+2)/6	$\frac{2 m + 4}{8} + \frac{m + 2}{6}$
195208	Solve the System of Equations	-2x+y=1 -4x+y=-1	$- 2 x + y = 1$ $- 4 x + y = - 1$
195209	Evaluate	pi/2-0	$\frac{π}{2} - 0$
195210	Graph	f(x)=4^x and g(x)=4^(-x)	$f (x) = 4^{x}$ and $g (x) = 4^{- x}$
195211	Solve for a	-2y(y^2-6y-3)=ay^3+12y^2+by	$- 2 y (y^{2} - 6 y - 3) = a y^{3} + 12 y^{2} + b y$
195212	Solve the System of Equations	2y=-x+9 3x-6y=-15	$2 y = - x + 9$ $3 x - 6 y = - 15$
195213	Multiply	square root of 5*(- square root of 5)	$\sqrt{5} \cdot (- \sqrt{5})$
195214	Evaluate	((8-2)*180)/8	$\frac{(8 - 2) \cdot 180}{8}$
195215	Find the End Behavior	f(x)=-720x^2-540x^3+7168+9x^5+60x^4+4608x-x^6	$f (x) = - 720 x^{2} - 540 x^{3} + 7168 + 9 x^{5} + 60 x^{4} + 4608 x - x^{6}$
195216	Solve the Inequality for x	-7+x/3>-4	$- 7 + \frac{x}{3} > - 4$
195217	Find the Distance Between Two Points	(-5,-5) and (0,7)	$(- 5, - 5)$ and $(0, 7)$
195218	Solve for w	w^2-4=0	$w^{2} - 4 = 0$
195219	Solve for v	1-5v=v+9-10v	$1 - 5 v = v + 9 - 10 v$
195220	Simplify	((x^2+5x+6)/(x-6))÷((x^2-9)/(2x-12))	$\frac{x^{2} + 5 x + 6}{x - 6} \div \frac{x^{2} - 9}{2 x - 12}$
195221	Solve for x	3/x=4+2/(x-1)	$\frac{3}{x} = 4 + \frac{2}{x - 1}$
195222	Solve the Inequality for x	-2/3x>=8	$- \frac{2}{3} x \geq 8$
195223	Solve the Inequality for m	(m-2)/3<-2	$\frac{m - 2}{3} < - 2$
195224	Solve the Inequality for x	-2(3x-1)>20	$- 2 (3 x - 1) > 20$
195225	Simplify	(9p^3q^2rs^0t^-1)/(3p^2r^2t)	$\frac{9 p^{3} q^{2} r s^{0} t^{- 1}}{3 p^{2} r^{2} t}$
195226	Graph	y=2f(x-3)	$y = 2 f (x - 3)$
195227	Find the End Behavior	f(x)=3456+114x^3-948x^2-6x^5+48x^4-144x	$f (x) = 3456 + 114 x^{3} - 948 x^{2} - 6 x^{5} + 48 x^{4} - 144 x$
195228	Solve for y	0=1/6y+8	$0 = \frac{1}{6} y + 8$
195229	Evaluate	18+6-8÷2+3	$18 + 6 - 8 \div 2 + 3$
195230	Simplify	x^2 square root of 180- square root of 5x^4	$x^{2} \sqrt{180} - \sqrt{5 x^{4}}$
195231	Graph	(x-1)^2+(2y-2)^2=4	${(x - 1)}^{2} + {(2 y - 2)}^{2} = 4$
195232	Solve for y	fourth root of y=-4	$\sqrt[4]{y} = - 4$
195233	Simplify	-3a+4b-2+5(2-4b+2a)	$- 3 a + 4 b - 2 + 5 (2 - 4 b + 2 a)$
195234	Solve for s	2s^2=50	$2 s^{2} = 50$
195235	Evaluate	(2pi)÷(pi/4)	$2 π \div \frac{π}{4}$
195236	Solve for a	((x^2)^(3/5))/( fifth root of x^3)=x^a	$\frac{{(x^{2})}^{\frac{3}{5}}}{\sqrt[5]{x^{3}}} = x^{a}$
195237	Factor	x^3+(y+3)^3	$x^{3} + {(y + 3)}^{3}$
195238	Simplify	( cube root of 6)/( fourth root of 6)	$\frac{\sqrt[3]{6}}{\sqrt[4]{6}}$
195239	Evaluate	4^3*(100÷25)-5^0	$4^{3} \cdot (100 \div 25) - 5^{0}$
195240	Solve the System of Equations	x-y+4z=10 3x+y+2z=4 2x+2y-3z=-7	$x - y + 4 z = 10$ $3 x + y + 2 z = 4$ $2 x + 2 y - 3 z = - 7$
195241	Simplify	(5x^2+3x+4)-(2x^2+1)-(7x+3)	$(5 x^{2} + 3 x + 4) - (2 x^{2} + 1) - (7 x + 3)$
195242	Simplify the Radical Expression	3 square root of 6-4 square root of 6	$3 \sqrt{6} - 4 \sqrt{6}$
195243	Complete the Square	-34=x^2-14x+10	$- 34 = x^{2} - 14 x + 10$
195244	Evaluate	(2^4+2^-4)/(4^4+1)	$\frac{2^{4} + 2^{- 4}}{4^{4} + 1}$
195245	Simplify	(5-x)/(x^2-4x)	$\frac{5 - x}{x^{2} - 4 x}$
195246	Solve for a	y=ax^2+c	$y = a x^{2} + c$
195247	Write in Standard Form	2(4x+2)^2=2x+1	$2 {(4 x + 2)}^{2} = 2 x + 1$
195248	Solve the Inequality for x	-4(x+3)<=-2-2x ?	$- 4 (x + 3) \leq - 2 - 2 x$ ?
195249	Solve for x	x+3+8x-9=7x+4	$x + 3 + 8 x - 9 = 7 x + 4$
195250	Graph	y<=\|x-3\|+4	$y \leq \| x - 3 \| + 4$
195251	Evaluate Using the Given Value	cos(theta) if tan(theta)=3/2	$\cos (θ)$ if $\tan (θ) = \frac{3}{2}$
195252	Find the Distance Between Two Points	(3,-8) and (-2,-1)	$(3, - 8)$ and $(- 2, - 1)$
195253	Simplify	(4x^3y^5z)(6x^5y^4z)	$(4 x^{3} y^{5} z) (6 x^{5} y^{4} z)$
195254	Find the Holes in the Graph	(3x^2-15x)/(-2x+10)	$\frac{3 x^{2} - 15 x}{- 2 x + 10}$
195255	Solve for p	p^2-100=0	$p^{2} - 100 = 0$
195256	Find the x and y Intercepts	x+y^2=4	$x + y^{2} = 4$
195257	Evaluate	2+(-2-3(2-7)-4)+12	$2 + (- 2 - 3 (2 - 7) - 4) + 12$
195258	Graph	y=-1/5x-3 y=x+3	$y = - \frac{1}{5} x - 3$ $y = x + 3$
195259	Solve for x	x = log base 3 of square root of 243	$x = \log_{3} (\sqrt{243})$
195260	Solve the Inequality for x	x^2+8x>0	$x^{2} + 8 x > 0$
195261	Solve for x	(100x^2-49)(x^2-7)=0	$(100 x^{2} - 49) (x^{2} - 7) = 0$
195262	Solve for θ	tan(theta)=-(2 square root of 3)/3sin(theta)	$\tan (θ) = - \frac{2 \sqrt{3}}{3} \sin (θ)$
195263	Simplify	cube root of (((x^2)^3)^4)/(x^10x^-6x^4)	$\sqrt[3]{\frac{{({(x^{2})}^{3})}^{4}}{x^{10} x^{- 6} x^{4}}}$
195264	Solve for m	-3m+3<=8m-7	$- 3 m + 3 \leq 8 m - 7$
195265	Graph	f(x)=2x if x<=-1; x-1 if x>-1	$f (x) = {\begin{cases} 2 x & x \leq - 1 \\ x - 1 & x > - 1 \end{cases}$
195266	Solve for x	e^(2x-2)=3x+1	$e^{2 x - 2} = 3 x + 1$
195267	Solve for q	(5p+q^2)/7=8	$\frac{5 p + q^{2}}{7} = 8$
195268	Factor	3x(x-y)^2-xy(x-y)	$3 x {(x - y)}^{2} - x y (x - y)$
195269	Simplify	(4/7)/(2/7)	$\frac{\frac{4}{7}}{\frac{2}{7}}$
195270	Simplify the Radical Expression	((x^4)/(7^-8))^-7	${(\frac{x^{4}}{7^{- 8}})}^{- 7}$
195271	Solve for x	7/(x+6)+(x+7)/(x-6)=3/(x-6)	$\frac{7}{x + 6} + \frac{x + 7}{x - 6} = \frac{3}{x - 6}$
195272	Find the Inverse	y=(1/4)^x	$y = {(\frac{1}{4})}^{x}$
195273	Solve the Inequality for x	9x+2>6+3/2(7x-2)	$9 x + 2 > 6 + \frac{3}{2} (7 x - 2)$
195274	Simplify	10((4*10)÷(6^2-4^2)+1)	$10 (4 \cdot 10 \div (6^{2} - 4^{2}) + 1)$
195275	Write in Standard Form	4x+7=(x-5)^2	$4 x + 7 = {(x - 5)}^{2}$
195276	Simplify	((5a+20)/5)÷((a^2-1)/(a^2+5a-6))	$\frac{5 a + 20}{5} \div \frac{a^{2} - 1}{a^{2} + 5 a - 6}$
195277	Find the Holes in the Graph	(x^2+2x+1)/(2x+2)	$\frac{x^{2} + 2 x + 1}{2 x + 2}$
195278	Find the Function	f(x) = square root of x+2	$f (x) = \sqrt{x} + 2$
195279	Find the End Behavior	f(x)=-4x^6-1600x^3-2688x-72x^5-1024-480x^4-2880x^2	$f (x) = - 4 x^{6} - 1600 x^{3} - 2688 x - 72 x^{5} - 1024 - 480 x^{4} - 2880 x^{2}$
195280	Find the Midpoint	(-4,4) and (-2,2)	$(- 4, 4)$ and $(- 2, 2)$
195281	Write in Standard Form	(-i)^3	${(- i)}^{3}$
195282	Graph	p(x)=(x+3)^2(x-2)^2(x+1)^2	$p (x) = {(x + 3)}^{2} {(x - 2)}^{2} {(x + 1)}^{2}$
195283	Find the x and y Intercepts	f(x)=(x^2-64)/(5x^2+6x)	$f (x) = \frac{x^{2} - 64}{5 x^{2} + 6 x}$
195284	Solve for q	m=(2q-4)/(q-5)	$m = \frac{2 q - 4}{q - 5}$
195285	Simplify	x^2y^4(-6x^3y^5)	$x^{2} y^{4} (- 6 x^{3} y^{5})$
195286	Find the Domain and Range	f(0)	$f (0)$
195287	Evaluate	20% of 20	$20 %$ of $20$
195288	Solve the Inequality for x	1/2<=-(3/2x+5)-2x	$\frac{1}{2} \leq - (\frac{3}{2} x + 5) - 2 x$
195289	Find All Complex Solutions	square root of 3tan(2x)-1=0	$\sqrt{3} \tan (2 x) - 1 = 0$
195290	Combine Like Terms	(-7x^2-4x-1)-(6x^2+4x)	$(- 7 x^{2} - 4 x - 1) - (6 x^{2} + 4 x)$
195291	Combine Like Terms	-3(-9v-4)-2(v-2)	$- 3 (- 9 v - 4) - 2 (v - 2)$
195292	Solve for q	11q+26q+14q-33q=-18	$11 q + 26 q + 14 q - 33 q = - 18$
195293	Simplify	(2x+7)/(x+5)+(x-3)/(x+5)	$\frac{2 x + 7}{x + 5} + \frac{x - 3}{x + 5}$
195294	Solve for x	8(x-2)+9<3(x-1)+5x	$8 (x - 2) + 9 < 3 (x - 1) + 5 x$
195295	Simplify	(x^-1-y^-1)/(x^-1+y^-1)	$\frac{x^{- 1} - y^{- 1}}{x^{- 1} + y^{- 1}}$
195296	Simplify	(50r^6n^-7)/(2n^2r^4)	$\frac{50 r^{6} n^{- 7}}{2 n^{2} r^{4}}$
195297	Simplify	square root of (x^2)/2	$\sqrt{\frac{x^{2}}{2}}$
195298	Find All Complex Solutions	sin(theta)cos(theta)-1/2cos(theta)=0	$\sin (θ) \cos (θ) - \frac{1}{2} \cos (θ) = 0$
195299	Evaluate	square root of x+3=x-3	$\sqrt{x + 3} = x - 3$
195300	Solve for x	-2<=x/-5	$- 2 \leq \frac{x}{- 5}$