Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
227201	Simplify the Radical Expression	(4r^2s^3t^4)^(2/5)	${(4 r^{2} s^{3} t^{4})}^{\frac{2}{5}}$
227202	Multiply	[[0,-1,-4,0],[-4,1,-3,2]][[1,-1,1],[0,-1,-1],[1,1,1],[1,-1,0]]	$[\begin{array}{c} 0 & - 1 & - 4 & 0 \\ - 4 & 1 & - 3 & 2 \end{array}] [\begin{array}{c} 1 & - 1 & 1 \\ 0 & - 1 & - 1 \\ 1 & 1 & 1 \\ 1 & - 1 & 0 \end{array}]$
227203	Solve the Inequality for x	1/4(5/12x-3/4)>x+1/12	$\frac{1}{4} (\frac{5}{12} x - \frac{3}{4}) > x + \frac{1}{12}$
227204	Divide	((x^2+4x-32)/(x^2+9x+8))÷((x+7)/(x+1))	$\frac{x^{2} + 4 x - 32}{x^{2} + 9 x + 8} \div \frac{x + 7}{x + 1}$
227205	Convert to Rectangular	theta=45 degrees	$θ = 45 °$
227206	Divide	(3x^2y+6xy-9x^2y^2)/(3xy)	$\frac{3 x^{2} y + 6 x y - 9 x^{2} y^{2}}{3 x y}$
227207	Simplify	((x+7)^2)/(49-x^2)	$\frac{{(x + 7)}^{2}}{49 - x^{2}}$
227208	Find the End Behavior	h(x)=-2x^3+5x^2+4x^5-3x^4+12x^2-4	$h (x) = - 2 x^{3} + 5 x^{2} + 4 x^{5} - 3 x^{4} + 12 x^{2} - 4$
227209	Evaluate	(-7^4)^-3	${(- 7^{4})}^{- 3}$
227210	Solve Using the Quadratic Formula	square root of e-5-7=0	$\sqrt{e - 5} - 7 = 0$
227211	Solve for x	(x-1)/(x-2)=4/(x^2-4)	$\frac{x - 1}{x - 2} = \frac{4}{x^{2} - 4}$
227212	Simplify the Radical Expression	2/( square root of 6+2)	$\frac{2}{\sqrt{6 + 2}}$
227213	Evaluate	i^36i^20i^40	$i^{36} \cdot i^{20} \cdot i^{40}$
227214	Simplify	-3 square root of -4-4 square root of -4-2 cube root of -64	$- 3 \sqrt{- 4} - 4 \sqrt{- 4} - 2 \sqrt[3]{- 64}$
227215	Simplify	(4n)/( square root of 18n^8)	$\frac{4 n}{\sqrt{18 n^{8}}}$
227216	Solve for k	log base 8 of 28k-20+15=18	$\log_{8} (28 k - 20) + 15 = 18$
227217	Solve for t	h=1/2gt^2+v_0t ; for t	$h = \frac{1}{2} g t^{2} + v_{0} t$ ; for $t$
227218	Simplify	(34i)/(17i)	$\frac{34 i}{17 i}$
227219	Evaluate	(1/(3h^5))^-4	${(\frac{1}{3 h^{5}})}^{- 4}$
227220	Find the Domain and Range	1/(1+ square root of x)	$\frac{1}{1 + \sqrt{x}}$
227221	Solve for x	0=e^(-x)	$0 = e^{- x}$
227222	Solve the Inequality for x	-4(5x+3)-4<=-96	$- 4 (5 x + 3) - 4 \leq - 96$
227223	Solve the Inequality for r	9\|r-2\|-10<-73	$9 \| r - 2 \| - 10 < - 73$
227224	Solve for b	square root of 8b=b	$\sqrt{8 b} = b$
227225	Solve for x	64=4^(2x)	$64 = 4^{2 x}$
227226	Simplify	(kt+p)^2-2p(kt+p)+7	${(k t + p)}^{2} - 2 p (k t + p) + 7$
227227	Simplify	8x((x-5)/(4x))	$8 x (\frac{x - 5}{4 x})$
227228	Determine if a Polynomial	square root of 3-12x+13x^2	$\sqrt{3} - 12 x + 13 x^{2}$
227229	Solve for x	3.4/2x-12=18/4.5	$\frac{3.4}{2} x - 12 = \frac{18}{4.5}$
227230	Simplify	(20/x-25/(2x))/(5/(x^2)+1/8)	$\frac{\frac{20}{x} - \frac{25}{2 x}}{\frac{5}{x^{2}} + \frac{1}{8}}$
227231	Find the Inverse	y=\|x-3\|	$y = \| x - 3 \|$
227232	Evaluate	xy(3x+2y)=4	$x y (3 x + 2 y) = 4$
227233	Solve the Inequality for x	-7x>6(-5x-1/2)-3	$- 7 x > 6 (- 5 x - \frac{1}{2}) - 3$
227234	Solve for a	a = square root of 8a-15	$a = \sqrt{8 a - 15}$
227235	Solve the Inequality for x	2x^2<=-x-4	$2 x^{2} \leq - x - 4$
227236	Evaluate	(C(451)-C*450)/(451-450)	$\frac{C (451) - C \cdot 450}{451 - 450}$
227237	Simplify	2x^2-5y^2-2z+4x^2-6y^2+z+x	$2 x^{2} - 5 y^{2} - 2 z + 4 x^{2} - 6 y^{2} + z + x$
227238	Write in Standard Form	3x+4y-5=12-x+5y	$3 x + 4 y - 5 = 12 - x + 5 y$
227239	Solve for x	3/4x+2/5=x-7/10	$\frac{3}{4} x + \frac{2}{5} = x - \frac{7}{10}$
227240	Simplify	( square root of x^5y^4)/(y^2 fifth root of z^10)	$\frac{\sqrt{x^{5}} y^{4}}{y^{2} \sqrt[5]{z^{10}}}$
227241	Simplify	fourth root of w sixth root of w^11	$\sqrt[4]{w} \sqrt[6]{w^{11}}$
227242	Solve for x	x/4+2/3=x-1/6	$\frac{x}{4} + \frac{2}{3} = x - \frac{1}{6}$
227243	Factor	1/4x^2-3/5x+4/25	$\frac{1}{4} x^{2} - \frac{3}{5} x + \frac{4}{25}$
227244	Solve for x	5.2^x-2^(x+2)=2^x	${5.2}^{x} - 2^{x + 2} = 2^{x}$
227245	Find the Quotient	(-5x^3+4x^2-8)÷(x^2-2x+2)	$(- 5 x^{3} + 4 x^{2} - 8) \div (x^{2} - 2 x + 2)$
227246	Simplify	(15x^2+20)/(5x)	$\frac{15 x^{2} + 20}{5 x}$
227247	Simplify	(-2x+5)^2+(-2x+5)+10	${(- 2 x + 5)}^{2} + (- 2 x + 5) + 10$
227248	Simplify	((3x-15)/4)÷((x^2-25)/(2x-10))	$\frac{3 x - 15}{4} \div \frac{x^{2} - 25}{2 x - 10}$
227249	Solve for x	1/2=cos(x)	$\frac{1}{2} = \cos (x)$
227250	Factor	xy(x-y)+3y(y-x)^2	$x y (x - y) + 3 y {(y - x)}^{2}$
227251	Graph	y=(x^2-4)/(3x-6)	$y = \frac{x^{2} - 4}{3 x - 6}$
227252	Convert to a Decimal	90deg to rad	$90$ degrees to radians
227253	Factor by Grouping	a(p-q)+q-p	$a (p - q) + q - p$
227254	Evaluate	(2-10(1/2))/(-1/3)	$\frac{2 - 10 (\frac{1}{2})}{- \frac{1}{3}}$
227255	Find the GCF	5x+15xy	$5 x + 15 x y$
227256	Solve for x	x^3+2x-3=0	$x^{3} + 2 x - 3 = 0$
227257	Solve for n	n^4-49n^2=0	$n^{4} - 49 n^{2} = 0$
227258	Graph	2x+y=-2 y=x-8	$2 x + y = - 2$ $y = x - 8$
227259	Simplify	(2.710^4)(3.510^3)	$(2.7 \times 10^{4}) (3.5 \times 10^{3})$
227260	Graph	f(x)=(-4x^2+4x)/(5x^2-25x+20)	$f (x) = \frac{- 4 x^{2} + 4 x}{5 x^{2} - 25 x + 20}$
227261	Simplify	square root of 2(3 square root of 2+2 square root of 2)	$\sqrt{2} (3 \sqrt{2} + 2 \sqrt{2})$
227262	Solve for c	5/9c-3/4=7/9c	$\frac{5}{9} c - \frac{3}{4} = \frac{7}{9} c$
227263	Solve the System of Equations	-x+2y=-11 and 5x-8y=39	$- x + 2 y = - 11$ and $5 x - 8 y = 39$
227264	Factor	x^3+x^2=4x+4	$x^{3} + x^{2} = 4 x + 4$
227265	Solve the Inequality for x	-1+9x<2+3(-9x+1/2)	$- 1 + 9 x < 2 + 3 (- 9 x + \frac{1}{2})$
227266	Solve the System of Equations	-9x+2y=23 and -4x-y=-3	$- 9 x + 2 y = 23$ and $- 4 x - y = - 3$
227267	Simplify	(2x^3+7x^2+x)+(2x^2-4x-12)	$(2 x^{3} + 7 x^{2} + x) + (2 x^{2} - 4 x - 12)$
227268	Simplify the Radical Expression	(xy)2/5	$(x y) \frac{2}{5}$
227269	Find the Equation of the Circle	Center: (0,0) ; Radius: 4	Center: $(0, 0)$ ; Radius: $4$
227270	Simplify	((8g^-3h)^-1)/(2g^2h^-1)	$\frac{{(8 g^{- 3} h)}^{- 1}}{2 g^{2} h^{- 1}}$
227271	Solve the Inequality for x	3/10-1/2x>2/5+1/4x	$\frac{3}{10} - \frac{1}{2} x > \frac{2}{5} + \frac{1}{4} x$
227272	Simplify	((x^2-4x-5)/(x+5))÷(x^2+6x+5)	$\frac{x^{2} - 4 x - 5}{x + 5} \div (x^{2} + 6 x + 5)$
227273	Solve for x	(3x-2)/5-(4x+3)/6=-1	$\frac{3 x - 2}{5} - \frac{4 x + 3}{6} = - 1$
227274	Simplify	(6x)/(5y)*(y^2x^-2)/(x^3)	$\frac{6 x}{5 y} \cdot \frac{y^{2} x^{- 2}}{x^{3}}$
227275	Simplify	( cube root of x^5)^3	${(\sqrt[3]{x^{5}})}^{3}$
227276	Graph	-3y+6>9x	$- 3 y + 6 > 9 x$
227277	Solve the Inequality for x	3x-7>=2(x-7)	$3 x - 7 \geq 2 (x - 7)$
227278	Evaluate	sin(pi/2)-sin(0)	$\sin (\frac{π}{2}) - \sin (0)$
227279	Write in Standard Form	(5a+b)(a-4b)	$(5 a + b) (a - 4 b)$
227280	Simplify	x square root of y^3-2 square root of x^2y^3+xy square root of y	$x \sqrt{y^{3}} - 2 \sqrt{x^{2} y^{3}} + x y \sqrt{y}$
227281	Solve the Inequality for x	1<x-(2x+1/2)-3	$1 < x - (2 x + \frac{1}{2}) - 3$
227282	Solve for v	3/13=v/3	$\frac{3}{13} = \frac{v}{3}$
227283	Convert to Polar	x=(y^2)/5	$x = \frac{y^{2}}{5}$
227284	Find the Roots (Zeros)	x^5=-48	$x^{5} = - 48$
227285	Simplify	(1/3)÷(6/9)	$\frac{1}{3} \div \frac{6}{9}$
227286	Solve for x	1/2x+3/4x-4=6	$\frac{1}{2} x + \frac{3}{4} x - 4 = 6$
227287	Simplify	fifth root of a^3s^10d^15f^2	$\sqrt[5]{a^{3} s^{10} d^{15} f^{2}}$
227288	Simplify	fourth root of (3x^6y^5)/(16x^-2y^12)	$\sqrt[4]{\frac{3 x^{6} y^{5}}{16 x^{- 2} y^{12}}}$
227289	Solve the Absolute Value Inequality for x	(\|2x+1\|)/3>=5	$\frac{\| 2 x + 1 \|}{3} \geq 5$
227290	Solve the System of Inequalities	x<1 and x>-1	$x < 1$ and $x > - 1$
227291	Solve for x	1/(x-1)=2/3+2/(x-1)	$\frac{1}{x - 1} = \frac{2}{3} + \frac{2}{x - 1}$
227292	Graph	19>=-2x+5>11	$19 \geq - 2 x + 5 > 11$
227293	Evaluate	square root of 2^2+1^2+2^2	$\sqrt{2^{2} + 1^{2} + 2^{2}}$
227294	Solve for y	2(12-y)=23-(2y-1)	$2 (12 - y) = 23 - (2 y - 1)$
227295	Find the Axis of Symmetry	(y+2)^2=-4x	${(y + 2)}^{2} = - 4 x$
227296	Simplify	t(4t^2+15t+4)-4(3t-1)	$t (4 t^{2} + 15 t + 4) - 4 (3 t - 1)$
227297	Solve the Rational Equation for x	square root of 72-x = square root of x/5	$\sqrt{72 - x} = \sqrt{\frac{x}{5}}$
227298	Find the GCF	x-xy^2	$x - x y^{2}$
227299	Divide	6x^2+7x-20÷2x+5	$6 x^{2} + 7 x - 20 \div 2 x + 5$
227300	Solve for x	(-7(3x+6))/3=7	$\frac{- 7 (3 x + 6)}{3} = 7$