Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
193001	Simplify	(4x^2-12x)/(2x^3-2x^2-12x)	$\frac{4 x^{2} - 12 x}{2 x^{3} - 2 x^{2} - 12 x}$
193002	Solve for E	log of E-12.2=1.44M	$\log (E) - 12.2 = 1.44 M$
193003	Evaluate	pi/12+pi(1)	$\frac{π}{12} + π (1)$
193004	Multiply	3/(m^2)*(16m)/9	$\frac{3}{m^{2}} \cdot \frac{16 m}{9}$
193005	Solve the Inequality for x	x(x-5)<0	$x (x - 5) < 0$
193006	Simplify	1/2*( square root of 3)/2	$\frac{1}{2} \cdot \frac{\sqrt{3}}{2}$
193007	Solve for x	2(4-3x)+5(2x-3)=20-5x	$2 (4 - 3 x) + 5 (2 x - 3) = 20 - 5 x$
193008	Find the Exact Value	2cos((11pi)/6)	$2 \cos (\frac{11 π}{6})$
193009	Solve the Inequality for x	x(2x+5)>=0	$x (2 x + 5) \geq 0$
193010	Simplify	(x^-2y^0z^3)^-3	${(x^{- 2} y^{0} z^{3})}^{- 3}$
193011	Solve for m	m/v-t/b=(m-t)/R	$\frac{m}{v} - \frac{t}{b} = \frac{m - t}{R}$
193012	Solve the System of Equations	y=2x+8 3(-2x+y)=12	$y = 2 x + 8$ $3 (- 2 x + y) = 12$
193013	Find the Exact Value	\|3-9\|	$\| 3 - 9 \|$
193014	Graph	f(x)=2x+5 if x<0; 5 if 0<=x<=10; 2x-10 if x>10	$f (x) = {\begin{cases} 2 x + 5 & x < 0 \\ 5 & 0 \leq x \leq 10 \\ 2 x - 10 & x > 10 \end{cases}$
193015	Multiply	6*1/9	$6 \cdot \frac{1}{9}$
193016	Simplify	(2sin(x))^2	${(2 \sin (x))}^{2}$
193017	Solve the Inequality for z	-3z>=6+3z	$- 3 z \geq 6 + 3 z$
193018	Subtract	Subtract x^2-2x-6 from -6x+5	Subtract $x^{2} - 2 x - 6$ from $- 6 x + 5$
193019	Find f(g(x))	f(x)=5x-2 g(x)=2x+1	$f (x) = 5 x - 2$ $g (x) = 2 x + 1$
193020	Simplify	((a^2-2a+1)/6)÷(a^2-1)	$\frac{a^{2} - 2 a + 1}{6} \div (a^{2} - 1)$
193021	Simplify	(((2x^2y^3)^4)/((4xy^2)^2))^3	${(\frac{{(2 x^{2} y^{3})}^{4}}{{(4 x y^{2})}^{2}})}^{3}$
193022	Solve for a	((x^(1/6))^5)/( cube root of x^5)=x^a	$\frac{{(x^{\frac{1}{6}})}^{5}}{\sqrt[3]{x^{5}}} = x^{a}$
193023	Solve for n	n+2 = square root of a-n	$n + 2 = \sqrt{a - n}$
193024	Solve for d	c=(ad)/(a+12)	$c = \frac{a d}{a + 12}$
193025	Solve for v	Ve=1/2mv^2 ; for v	$V e = \frac{1}{2} m v^{2}$ ; for $v$
193026	Solve the System of Equations	-6y=36-x 4x-3y=-3	$- 6 y = 36 - x$ $4 x - 3 y = - 3$
193027	Solve for a	-14=1/4a-17	$- 14 = \frac{1}{4} a - 17$
193028	Simplify	-9v-(1.8w-8.4)	$- 9 v - (1.8 w - 8.4)$
193029	Find the Domain and Range	A(b)=-2\|b\|-7	$A (b) = - 2 \| b \| - 7$
193030	Find the Domain and Range	x^(1/3)	$x^{\frac{1}{3}}$
193031	Find the Degree	x-8=0	$x - 8 = 0$
193032	Solve for m	-9m-5>2m-2	$- 9 m - 5 > 2 m - 2$
193033	Factor	x^2y+3xy	$x^{2} y + 3 x y$
193034	Find the Distance Between Two Points	(-6,4) and (0,-4)	$(- 6, 4)$ and $(0, - 4)$
193035	Evaluate	3 6/7+(-1 1/7)	$3 \frac{6}{7} + (- 1 \frac{1}{7})$
193036	Divide	0÷x	$0 \div x$
193037	Solve for x	-2/3(15x+3)=-3x-9	$- \frac{2}{3} (15 x + 3) = - 3 x - 9$
193038	Solve for x	-27s=-x-10v	$- 27 s = - x - 10 v$
193039	Graph	-2<=x/-5	$- 2 \leq \frac{x}{- 5}$
193040	Solve for B	A=B+C+D	$A = B + C + D$
193041	Solve for x	(7x-4)(49x^2-100)=0	$(7 x - 4) (49 x^{2} - 100) = 0$
193042	Evaluate the Function	h(pi)=e^x	$h (π) = e^{x}$
193043	Solve Using the Quadratic Formula	3x+2y	$3 x + 2 y$
193044	Graph	f(x)=x+1 if x>1; x-2 if x<=1	$f (x) = {\begin{cases} x + 1 & x > 1 \\ x - 2 & x \leq 1 \end{cases}$
193045	Solve for n	square root of 6n-11=n-3	$\sqrt{6 n - 11} = n - 3$
193046	Combine Like Terms	(2x^2+7x-4)+(-10x-4)	$(2 x^{2} + 7 x - 4) + (- 10 x - 4)$
193047	Solve the System of Equations	x^2+y^2=17 y=-1/2x	$x^{2} + y^{2} = 17$ $y = - \frac{1}{2} x$
193048	Solve for C	C^2=6^2+8^2	$C^{2} = 6^{2} + 8^{2}$
193049	Factor	x^3+x^2+x-3	$x^{3} + x^{2} + x - 3$
193050	Simplify	(1+sec(-theta))/(sec(-theta))	$\frac{1 + \sec (- θ)}{\sec (- θ)}$
193051	Solve for x	-5x^2=1/20	$- 5 x^{2} = \frac{1}{20}$
193052	Find the Product	square root of 12* square root of 18	$\sqrt{12} \cdot \sqrt{18}$
193053	Write in Standard Form	(1,4) and (-3,7)	$(1, 4)$ and $(- 3, 7)$
193054	Solve for y	\|4y+1\|<7	$\| 4 y + 1 \| < 7$
193055	Solve the Inequality for w	-5w<=15	$- 5 w \leq 15$
193056	Find the Domain and Range	x=y^7	$x = y^{7}$
193057	Convert to Interval Notation	x(x-1)(x+2)>0	$x (x - 1) (x + 2) > 0$
193058	Solve the Absolute Value Inequality for w	5-3\|2+2w\|=-7	$5 - 3 \| 2 + 2 w \| = - 7$
193059	Find the Holes in the Graph	y=(x^2+5x+6)/(x^2-9)	$y = \frac{x^{2} + 5 x + 6}{x^{2} - 9}$
193060	Simplify	(2x)/(x+4)-(x^2+4)/(x^2-16)	$\frac{2 x}{x + 4} - \frac{x^{2} + 4}{x^{2} - 16}$
193061	Factor	x^3+x^2y-xy^2-y^3	$x^{3} + x^{2} y - x y^{2} - y^{3}$
193062	Solve the Inequality for x	(x-2)^2<=0	${(x - 2)}^{2} \leq 0$
193063	Find a,b,c	-x+4x(2-x)=-1	$- x + 4 x (2 - x) = - 1$
193064	Solve by Substitution	-2/3x-7y=6 x+3y=-9	$- \frac{2}{3} x - 7 y = 6$ $x + 3 y = - 9$
193065	Solve for d	9(14d+9)+4d=13(10d+6)+3	$9 (14 d + 9) + 4 d = 13 (10 d + 6) + 3$
193066	Write in Standard Form	(3,-2) and (0,4)	$(3, - 2)$ and $(0, 4)$
193067	Solve the Inequality for x	5-3(1-x)<=3	$5 - 3 (1 - x) \leq 3$
193068	Find the Degree	x(x-1)^2(x+2)=0	$x {(x - 1)}^{2} (x + 2) = 0$
193069	Solve the Inequality for x	x^2+x<0	$x^{2} + x < 0$
193070	Find the Exact Value	cos((11pi)/6)^2	$\cos^{2} (\frac{11 π}{6})$
193071	Solve for x	(5x+8)/(3x+4)=(5x+2)/(3x-4)	$\frac{5 x + 8}{3 x + 4} = \frac{5 x + 2}{3 x - 4}$
193072	Evaluate	((2/3)^2)^3	${({(\frac{2}{3})}^{2})}^{3}$
193073	Graph	x-2>0	$x - 2 > 0$
193074	Solve for m	m-9=(2m-12)/3	$m - 9 = \frac{2 m - 12}{3}$
193075	Factor	3/4x^2y-8/9xy^2	$\frac{3}{4} x^{2} y - \frac{8}{9} x y^{2}$
193076	Solve Using the Quadratic Formula	x=(-3+- square root of 3^2-4124)/(2(1))	$x = \frac{- 3 + - \sqrt{3^{2} - 4 \cdot 1 \cdot 24}}{2 (1)}$
193077	Solve for x	6400=(8)(2^(4x))	$6400 = (8) (2^{4 x})$
193078	Graph	-5n+6>=-7(5n-6)-6n	$- 5 n + 6 \geq - 7 (5 n - 6) - 6 n$
193079	Graph	y+3<=\|3x\|-1	$y + 3 \leq \| 3 x \| - 1$
193080	Solve the System of Inequalities	2x-y>5 2y+x>8	$2 x - y > 5$ $2 y + x > 8$
193081	Find the LCM	8x^2y and 12xy^2z	$8 x^{2} y$ and $12 x y^{2} z$
193082	Find the Perpendicular Line	(-8,5) which is perpendicular to the line y=x/4-4	$(- 8, 5)$ which is perpendicular to the line $y = \frac{x}{4} - 4$
193083	Graph	f(x)=1/(4-x^2)	$f (x) = \frac{1}{4 - x^{2}}$
193084	Convert to Meters	30cm	$30 cm$
193085	Solve the System of Equations	y=2x^2-5x+5 y-x=5	$y = 2 x^{2} - 5 x + 5$ $y - x = 5$
193086	Simplify	(6^(1/4))(6^(1/4))(6^(1/4))*(6^(1/4))	$(6^{\frac{1}{4}}) \cdot (6^{\frac{1}{4}}) \cdot (6^{\frac{1}{4}}) \cdot (6^{\frac{1}{4}})$
193087	Graph	f(x)=(1/2x)^2	$f (x) = {(\frac{1}{2} x)}^{2}$
193088	Multiply	(a^2-4)/3*9/(a+2)	$\frac{a^{2} - 4}{3} \cdot \frac{9}{a + 2}$
193089	Solve for z	5z^2+32z=-155	$5 z^{2} + 32 z = - 155$
193090	Solve for x	5(10^(x+2))=25	$5 (10^{x + 2}) = 25$
193091	Solve Using the Quadratic Formula	3x^(2/3)-10x^(1/3)=8	$3 x^{\frac{2}{3}} - 10 x^{\frac{1}{3}} = 8$
193092	Simplify	sin(x)^3-cos(x)^3	$\sin^{3} (x) - \cos^{3} (x)$
193093	Simplify	((36y)/(y^2-2y+1))÷((12y^2)/(y^2-1))	$\frac{36 y}{y^{2} - 2 y + 1} \div \frac{12 y^{2}}{y^{2} - 1}$
193094	Simplify	(a^2-4ab+4b^2)/(a^3-8b^3)	$\frac{a^{2} - 4 a b + 4 b^{2}}{a^{3} - 8 b^{3}}$
193095	Find the Equation Using Slope-Intercept Form	The slope is 5 passing through (-1,4)	The slope is $5$ passing through $(- 1, 4)$
193096	Solve the Absolute Value Inequality for x	5\|x-3\|<35	$5 \| x - 3 \| < 35$
193097	Solve for z	2/5(z+1)=y for z	$\frac{2}{5} (z + 1) = y$ for $z$
193098	Graph	(x-1) and (x-5)	$(x - 1)$ and $(x - 5)$
193099	Solve the Inequality for x	-8>5/2-(6x+3)	$- 8 > \frac{5}{2} - (6 x + 3)$
193100	Simplify	(5(2x-3)-3(x+4))/9	$\frac{5 (2 x - 3) - 3 (x + 4)}{9}$