Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
205201	Simplify the Radical Expression	(5^(1/2)x^(1/4))^2	${(5^{\frac{1}{2}} x^{\frac{1}{4}})}^{2}$
205202	Solve for f	4.5f=6.3f-4.5	$4.5 f = 6.3 f - 4.5$
205203	Solve for x	6=10x^3+6	$6 = 10 x^{3} + 6$
205204	Simplify	square root of 28x- square root of 14+ square root of 63x	$\sqrt{28 x} - \sqrt{14} + \sqrt{63 x}$
205205	Determine if a Polynomial	-y square root of 6+2yz	$- y \sqrt{6} + 2 y z$
205206	Solve the Rational Equation for a	-8+ square root of 5a-5=-3	$- 8 + \sqrt{5 a - 5} = - 3$
205207	Solve for y	(y+1)/2=-2(y+1)	$\frac{y + 1}{2} = - 2 (y + 1)$
205208	Find the End Behavior	f(x)=x^2+24-10x	$f (x) = x^{2} + 24 - 10 x$
205209	Graph	y<=-5/(2x)+5	$y \leq - \frac{5}{2 x} + 5$
205210	Simplify	(5/(6z^3))÷(5/(12z^5))	$\frac{5}{6 z^{3}} \div \frac{5}{12 z^{5}}$
205211	Write in Standard Form	w^3+5w^2+28-w	$w^{3} + 5 w^{2} + 28 - w$
205212	Evaluate	((2x^3)/(3x^2))^-1	${(\frac{2 x^{3}}{3 x^{2}})}^{- 1}$
205213	Graph	-x^2+y>=3	$- x^{2} + y \geq 3$
205214	Graph	y=-(x-3)(x+2)(3x-4)	$y = - (x - 3) (x + 2) (3 x - 4)$
205215	Solve for x	4x^2e^(-x^2)-2e^(-x^2)=0	$4 x^{2} e^{- x^{2}} - 2 e^{- x^{2}} = 0$
205216	Solve for m	19m-5-11m=15+3m	$19 m - 5 - 11 m = 15 + 3 m$
205217	Multiply	(2x+5)(x^3-2x^2+3x-1)	$(2 x + 5) (x^{3} - 2 x^{2} + 3 x - 1)$
205218	Simplify	i^30i^20i^29*i^6	$i^{30} \cdot i^{20} \cdot i^{29} \cdot i^{6}$
205219	Factor	6xy-4y+6-9x	$6 x y - 4 y + 6 - 9 x$
205220	Simplify	( square root of 3+3 square root of 5)/(2 square root of 8)	$\frac{\sqrt{3} + 3 \sqrt{5}}{2 \sqrt{8}}$
205221	Solve the System of Equations	y=-5/3x-6 2x-3y=-24	$y = - \frac{5}{3} x - 6$ $2 x - 3 y = - 24$
205222	Simplify	(1+ square root of 3i)^2	${(1 + \sqrt{3} i)}^{2}$
205223	Solve for x	5 1/2>=1.6x	$5 \frac{1}{2} \geq 1.6 x$
205224	Simplify	(y/x-x/y)/(5/y-5/x)	$\frac{\frac{y}{x} - \frac{x}{y}}{\frac{5}{y} - \frac{5}{x}}$
205225	Graph	-12 square root of 2x-3>-36	$- 12 \sqrt{2 x - 3} > - 36$
205226	Find the Degree, Leading Term, and Leading Coefficient	1-1/3x^3-5x^4-10x	$1 - \frac{1}{3} x^{3} - 5 x^{4} - 10 x$
205227	Solve for C	C=5/9(41-32)	$C = \frac{5}{9} (41 - 32)$
205228	Simplify the Radical Expression	9 square root of 7+6 square root of 7+3 square root of 7	$9 \sqrt{7} + 6 \sqrt{7} + 3 \sqrt{7}$
205229	Simplify	(3+ square root of 2)/(3- square root of 2)	$\frac{3 + \sqrt{2}}{3 - \sqrt{2}}$
205230	Find the Exact Value	cos(theta)+sin(theta)*tan(theta)	$\cos (θ) + \sin (θ) \cdot \tan (θ)$
205231	Solve for x	(1/6)^(3x^2-15x)=36^(12x+3)	${(\frac{1}{6})}^{3 x^{2} - 15 x} = 36^{12 x + 3}$
205232	Simplify	(4x)/(x+1)*(x^2-6x-7)/(x^2-7x)	$\frac{4 x}{x + 1} \cdot \frac{x^{2} - 6 x - 7}{x^{2} - 7 x}$
205233	Find the Domain and Range	3y+xy=2x+1	$3 y + x y = 2 x + 1$
205234	Solve for r	i=v/r	$i = \frac{v}{r}$
205235	Evaluate	-2x^-3	$- 2 x^{- 3}$
205236	Simplify	square root of 3/(y^5)	$\sqrt{\frac{3}{y^{5}}}$
205237	Simplify	( cube root of 8)÷( cube root of 6)	$\sqrt[3]{8} \div \sqrt[3]{6}$
205238	Solve for x	x-x^2+42=0	$x - x^{2} + 42 = 0$
205239	Solve for x	-3x+3=-3(1+x)	$- 3 x + 3 = - 3 (1 + x)$
205240	Convert to Radical Form	(x+y)^(1/2)	${(x + y)}^{\frac{1}{2}}$
205241	Solve the System of Equations	y=-3/2x-4 x-y=-6	$y = - \frac{3}{2} x - 4$ $x - y = - 6$
205242	Write in Slope-Intercept Form	3x+y>=-7	$3 x + y \geq - 7$
205243	Find the Holes in the Graph	y=(x-2)/((x+2)(x-2))	$y = \frac{x - 2}{(x + 2) (x - 2)}$
205244	Convert to Radical Form	(2x)^(1/5)*(2x)^(-1/5)	${(2 x)}^{\frac{1}{5}} \cdot {(2 x)}^{\frac{- 1}{5}}$
205245	Solve the Inequality for x	3<=-6-5x<12	$3 \leq - 6 - 5 x < 12$
205246	Solve for x	7x+5+1-3x=4x+6	$7 x + 5 + 1 - 3 x = 4 x + 6$
205247	Solve for x	fourth root of 3x = square root of x	$\sqrt[4]{3 x} = \sqrt{x}$
205248	Simplify the Radical Expression	square root of a^3+2a^2+a	$\sqrt{a^{3} + 2 a^{2} + a}$
205249	Solve the System of Equations	y=-x^2-5x-4 y=-x^2+9x-18	$y = - x^{2} - 5 x - 4$ $y = - x^{2} + 9 x - 18$
205250	Solve the System of Equations	(x+5)^2+y^2=90 x+3y=-5	${(x + 5)}^{2} + y^{2} = 90$ $x + 3 y = - 5$
205251	Simplify	(4x^2yz^3)^2(2xy^2z)^2	${(4 x^{2} y z^{3})}^{2} {(2 x y^{2} z)}^{2}$
205252	Simplify	(2(1-i square root of 2)-3)/((1-i square root of 2)^2)	$\frac{2 (1 - i \sqrt{2}) - 3}{{(1 - i \sqrt{2})}^{2}}$
205253	Simplify	3 square root of 1/8	$3 \sqrt{\frac{1}{8}}$
205254	Solve the Rational Equation for x	10/(x^2-2x)+4/x=5/(x-2)	$\frac{10}{x^{2} - 2 x} + \frac{4}{x} = \frac{5}{x - 2}$
205255	Multiply	(-4/3xy^3)*(9x^8y)	$(- \frac{4}{3} x y^{3}) \cdot (9 x^{8} y)$
205256	Simplify	12 root of 1/(n^-8*n^-7)	$\sqrt[12]{\frac{1}{n^{- 8} \cdot n^{- 7}}}$
205257	Evaluate	4^-1*4	$4^{- 1} \cdot 4$
205258	Solve for q	0.8+2q+0.7=-3q-1	$0.8 + 2 q + 0.7 = - 3 q - 1$
205259	Solve for x	1/3x^2+10=7	$\frac{1}{3} x^{2} + 10 = 7$
205260	Simplify	( square root of 45x^9)/( square root of 9)	$\frac{\sqrt{45 x^{9}}}{\sqrt{9}}$
205261	Simplify	(w1/3)/(w^3)	$\frac{w \frac{1}{3}}{w^{3}}$
205262	Divide Using Long Polynomial Division	(6x^5+5x^4+x^3-3x^2+x)/(3x+1)	$\frac{6 x^{5} + 5 x^{4} + x^{3} - 3 x^{2} + x}{3 x + 1}$
205263	Simplify the Radical Expression	- square root of 72- square root of 200	$- \sqrt{72} - \sqrt{200}$
205264	Convert to Interval Notation	-1/8<x<=3/2	$- \frac{1}{8} < x \leq \frac{3}{2}$
205265	Simplify	-2 cube root of 5x*3 cube root of 25x^2	$- 2 \sqrt[3]{5 x} \cdot 3 \sqrt[3]{25 x^{2}}$
205266	Write in Slope-Intercept Form	x+y<5	$x + y < 5$
205267	Evaluate	(8^2-2^3)/(2^2)	$\frac{8^{2} - 2^{3}}{2^{2}}$
205268	Simplify	-( square root of 1)/( square root of 49)	$- \frac{\sqrt{1}}{\sqrt{49}}$
205269	Simplify	-3g(7g-2)+3(g^2+2g+1)-3g(-5g+3)	$- 3 g (7 g - 2) + 3 (g^{2} + 2 g + 1) - 3 g (- 5 g + 3)$
205270	Solve for n	-28+8n=5n+3n-21	$- 28 + 8 n = 5 n + 3 n - 21$
205271	Solve for x	log base 2 of x^2-4- log base 2 of 3x+6=4	$\log_{2} (x^{2} - 4) - \log_{2} (3 x + 6) = 4$
205272	Simplify	(7x^0)^1	${(7 x^{0})}^{1}$
205273	Simplify	(x-y)^2-a(y-x)	${(x - y)}^{2} - a (y - x)$
205274	Write in Exponential Form	log base 24 of 2 square root of 6=1/2	$\log_{24} (2 \sqrt{6}) = \frac{1}{2}$
205275	Write in Standard Form	2y^2-3x^2=7-18x-20y	$2 y^{2} - 3 x^{2} = 7 - 18 x - 20 y$
205276	Factor	xk-xy-x^2+yk	$x k - x y - x^{2} + y k$
205277	Find the Intersection	y<=-2x+5 y>=3x+3	$y \leq - 2 x + 5$ $y \geq 3 x + 3$
205278	Simplify	((4x^3y^2)/(9xy^4))^2	${(\frac{4 x^{3} y^{2}}{9 x y^{4}})}^{2}$
205279	Simplify	(3i square root of 5)^2	${(3 i \sqrt{5})}^{2}$
205280	Solve the Inequality for x	12x>5(x-2)	$12 x > 5 (x - 2)$
205281	Solve the Inequality for y	2x-3y<6	$2 x - 3 y < 6$
205282	Solve the System of Equations	3x+y=-14 -2x-y=9	$3 x + y = - 14$ $- 2 x - y = 9$
205283	Graph	f(x)=(1/3x)^3-3	$f (x) = {(\frac{1}{3} x)}^{3} - 3$
205284	Solve for x	5^x-3^x=16	$5^{x} - 3^{x} = 16$
205285	Simplify	(2y+14.6m+3.8)-(34.8m+15.6+2y)	$(2 y + 14.6 m + 3.8) - (34.8 m + 15.6 + 2 y)$
205286	Solve for t	square root of 2t+15=t	$\sqrt{2 t + 15} = t$
205287	Simplify	((x^2-36)^4)/((x^2-12x+36) square root of x+6)	$\frac{{(x^{2} - 36)}^{4}}{(x^{2} - 12 x + 36) \sqrt{x + 6}}$
205288	Simplify	2/3-1/4x+1/2x-1/6	$\frac{2}{3} - \frac{1}{4} x + \frac{1}{2} x - \frac{1}{6}$
205289	Graph	x^2+y^2+4y+4=9	$x^{2} + y^{2} + 4 y + 4 = 9$
205290	Factor	yx^6+27y^7	$y x^{6} + 27 y^{7}$
205291	Solve for m	-2.4(m-2/3)=-9	$- 2.4 (m - \frac{2}{3}) = - 9$
205292	Simplify	square root of (9y^2)^2 square root of (9y^2)^2	$\sqrt{{(9 y^{2})}^{2}} \sqrt{{(9 y^{2})}^{2}}$
205293	Solve for x	(1/2)^(x^2-x-2)=1	${(\frac{1}{2})}^{x^{2} - x - 2} = 1$
205294	Find the x and y Intercepts	((x-2)^2)/9-((y-1)^2)/4=1	$\frac{{(x - 2)}^{2}}{9} - \frac{{(y - 1)}^{2}}{4} = 1$
205295	Simplify the Radical Expression	-8 square root of 108+ square root of 12	$- 8 \sqrt{108} + \sqrt{12}$
205296	Simplify	i^9i^6i^8	$i^{9} \cdot i^{6} \cdot i^{8}$
205297	Simplify the Radical Expression	(6y)/( square root of 2x)	$\frac{6 y}{\sqrt{2 x}}$
205298	Simplify	(9x^3y^2+15x^2y-6x^2)/(3x^2)	$\frac{9 x^{3} y^{2} + 15 x^{2} y - 6 x^{2}}{3 x^{2}}$
205299	Solve for w	w(4w+6)+2w=2(2w^2+7w-3)	$w (4 w + 6) + 2 w = 2 (2 w^{2} + 7 w - 3)$
205300	Find the Excluded Values	((x^2-8x+16)/(x^2+4x-21))/((-2x+8)/(x+7))	$\frac{\frac{x^{2} - 8 x + 16}{x^{2} + 4 x - 21}}{\frac{- 2 x + 8}{x + 7}}$