Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
203201	Solve for y	3x-y=-2y	$3 x - y = - 2 y$
203202	Evaluate	(2cd^4)^2(cd)^5	${(2 c d^{4})}^{2} {(c d)}^{5}$
203203	Find the Product	(4x^2-8x-2)(x^4+3x^2+4x)	$(4 x^{2} - 8 x - 2) (x^{4} + 3 x^{2} + 4 x)$
203204	Simplify	fourth root of 5^3* sixth root of 5	$\sqrt[4]{5^{3}} \cdot \sqrt[6]{5}$
203205	Simplify	1/(12a-3)-(16a^2)/(12a-3)	$\frac{1}{12 a - 3} - \frac{16 a^{2}}{12 a - 3}$
203206	Simplify the Radical Expression	( square root of 3+ square root of 2)^2	${(\sqrt{3} + \sqrt{2})}^{2}$
203207	Rationalize the Denominator	( square root of 5x^4y)/( square root of 2x^2y^3)	$\frac{\sqrt{5 x^{4} y}}{\sqrt{2 x^{2} y^{3}}}$
203208	Graph	f(x)=-2*2^(1/3x)+3	$f (x) = - 2 \cdot 2^{\frac{1}{3} x} + 3$
203209	Simplify	9/(x^2-12x+36)+x/(x^2-36)	$\frac{9}{x^{2} - 12 x + 36} + \frac{x}{x^{2} - 36}$
203210	Find the Roots (Zeros)	x^6-1=0	$x^{6} - 1 = 0$
203211	Simplify	(x^2y^(1/2))^4	${(x^{2} y^{\frac{1}{2}})}^{4}$
203212	Solve for d	19-2d=-20-17d-6	$19 - 2 d = - 20 - 17 d - 6$
203213	Solve for x	4/(3(x+1))=12/(x^2-1)	$\frac{4}{3 (x + 1)} = \frac{12}{x^{2} - 1}$
203214	Simplify	10 root of 8^5	$\sqrt[10]{8^{5}}$
203215	Simplify	(1/(x-1)-(3x)/(x^3-1)-3/(x^2+x+1))÷((x^2-5x+4)/(x^2+x+1))	$(\frac{1}{(x - 1)} - \frac{3 x}{x^{3} - 1} - \frac{3}{x^{2} + x + 1}) \div \frac{x^{2} - 5 x + 4}{x^{2} + x + 1}$
203216	Solve for x	(9x+6)/18=(20x+4)/(3x)	$\frac{9 x + 6}{18} = \frac{20 x + 4}{3 x}$
203217	Find the Degree, Leading Term, and Leading Coefficient	3-3x^2-8x^4+4x	$3 - 3 x^{2} - 8 x^{4} + 4 x$
203218	Solve for t	square root of 2t-7 = square root of t+2	$\sqrt{2 t - 7} = \sqrt{t + 2}$
203219	Simplify	(2x^2-10x)/(3x^2)*(x^5)/(4x^2-20x)	$\frac{2 x^{2} - 10 x}{3 x^{2}} \cdot \frac{x^{5}}{4 x^{2} - 20 x}$
203220	Simplify	(1/(x^2)+2/y)/(5/x-6/(y^2))	$\frac{\frac{1}{x^{2}} + \frac{2}{y}}{\frac{5}{x} - \frac{6}{y^{2}}}$
203221	Solve for x	cube root of x^2-4+ cube root of 3x=0	$\sqrt[3]{x^{2} - 4} + \sqrt[3]{3 x} = 0$
203222	Solve the System of Equations	x+y=50 xy=300	$x + y = 50$ $x y = 300$
203223	Find the Domain and Range	y=arcsin(x/3)	$y = \arcsin (\frac{x}{3})$
203224	Simplify	(5/y+5/x)/((x+y)/y)	$\frac{\frac{5}{y} + \frac{5}{x}}{\frac{x + y}{y}}$
203225	Evaluate	( fourth root of 16)^-7	${(\sqrt[4]{16})}^{- 7}$
203226	Simplify	2(3/4n+8+1/4n-12)	$2 (\frac{3}{4} n + 8 + \frac{1}{4} n - 12)$
203227	Simplify	(1/2-c)(1/2+c)	$(\frac{1}{2} - c) (\frac{1}{2} + c)$
203228	Solve for B	4B-5=71	$4 B - 5 = 71$
203229	Solve for a	(25-a)÷7=3	$(25 - a) \div 7 = 3$
203230	Evaluate	2(1/2+0.5-4/4)	$2 (\frac{1}{2} + 0.5 - \frac{4}{4})$
203231	Solve for x	2/3x^3+x^2-5x=-9	$\frac{2}{3} x^{3} + x^{2} - 5 x = - 9$
203232	Simplify the Radical Expression	square root of (2x)/7	$\sqrt{\frac{2 x}{7}}$
203233	Simplify	19 square root of cd-35 square root of cd+71 square root of cd	$19 \sqrt{c d} - 35 \sqrt{c d} + 71 \sqrt{c d}$
203234	Simplify	((16x^2y^-1)^0)/((4x^0y^-4z)^-2)	$\frac{{(16 x^{2} y^{- 1})}^{0}}{{(4 x^{0} y^{- 4} z)}^{- 2}}$
203235	Simplify	2 fourth root of 9* fourth root of 45	$2 \sqrt[4]{9} \cdot \sqrt[4]{45}$
203236	Simplify	fourth root of 3^3* square root of 3^5	$\sqrt[4]{3^{3}} \cdot \sqrt{3^{5}}$
203237	Simplify	(4 square root of 2)/(3 square root of 8)	$\frac{4 \sqrt{2}}{3 \sqrt{8}}$
203238	Simplify	( square root of 9x^3y^2)/( square root of 3)	$\frac{\sqrt{9 x^{3} y^{2}}}{\sqrt{3}}$
203239	Write in Standard Form	(x+4)(x-5)+3=0	$(x + 4) (x - 5) + 3 = 0$
203240	Simplify	(1/(125x^3))^(-1/3)	${(\frac{1}{125 x^{3}})}^{- \frac{1}{3}}$
203241	Write as a Single Logarithm	log of (x^2)/(y^3)+5 log of y-6 log of square root of xy	$\log (\frac{x^{2}}{y^{3}}) + 5 \log (y) - 6 \log (\sqrt{x y})$
203242	Write in Standard Form	4(2-3w)(w^2-2w+10)	$4 (2 - 3 w) (w^{2} - 2 w + 10)$
203243	Simplify	(3/2p+1)(1/2p+3)	$(\frac{3}{2} p + 1) (\frac{1}{2} p + 3)$
203244	Simplify	1/5(15+10x-5)	$\frac{1}{5} (15 + 10 x - 5)$
203245	Find the x and y Intercepts	f(x)=(3x^2-5x)/(x^2-64)	$f (x) = \frac{3 x^{2} - 5 x}{x^{2} - 64}$
203246	Simplify	((2x^2y^2)^4)/(yx^4y^3)	$\frac{{(2 x^{2} y^{2})}^{4}}{y x^{4} y^{3}}$
203247	Evaluate	1/6x^3=-36	$\frac{1}{6} x^{3} = - 36$
203248	Simplify	((3xy)^2(2x^4y^3))/(6x^8y)	$\frac{{(3 x y)}^{2} (2 x^{4} y^{3})}{6 x^{8} y}$
203249	Expand Using the Binomial Theorem	(x+1/y)^7	${(x + \frac{1}{y})}^{7}$
203250	Simplify	(2a^(3/2))^(1/2)	${(2 a^{\frac{3}{2}})}^{\frac{1}{2}}$
203251	Simplify	Subtract -2x-10 from 10x^2+3	Subtract $- 2 x - 10$ from $10 x^{2} + 3$
203252	Simplify	(3x-9)/2*4/(7x-21)	$\frac{3 x - 9}{2} \cdot \frac{4}{7 x - 21}$
203253	Simplify	1/4+4/3b+7/12	$\frac{1}{4} + \frac{4}{3} b + \frac{7}{12}$
203254	Find All Complex Solutions	square root of 2x+6+4=x+3	$\sqrt{2 x + 6} + 4 = x + 3$
203255	Simplify	((14a^2)/(10b^2))÷((21a^2)/(15b^2))	$\frac{14 a^{2}}{10 b^{2}} \div \frac{21 a^{2}}{15 b^{2}}$
203256	Solve for x	6/15=2-x/5	$\frac{6}{15} = 2 - \frac{x}{5}$
203257	Factor by Grouping	2x-4xy+10y-5	$2 x - 4 x y + 10 y - 5$
203258	Write in Standard Form	2x-3x^4+6-5x^3	$2 x - 3 x^{4} + 6 - 5 x^{3}$
203259	Evaluate	(x^22)(x^7)^3	$(x^{22}) {(x^{7})}^{3}$
203260	Simplify	(3ba^-4*a^-1b^4)/(3a^-2b^-3)	$\frac{3 b a^{- 4} \cdot a^{- 1} b^{4}}{3 a^{- 2} b^{- 3}}$
203261	Evaluate	(3x^2-10x+4)+(10x^2-5x+8)	$(3 x^{2} - 10 x + 4) + (10 x^{2} - 5 x + 8)$
203262	Solve by Addition/Elimination	6x-3y=-21 4x=3y-9	$6 x - 3 y = - 21$ $4 x = 3 y - 9$
203263	Multiply	square root of 5*-4 square root of 20	$\sqrt{5} \cdot - 4 \sqrt{20}$
203264	Evaluate	((-16)^3)÷((4^-2)^-3)	${(- 16)}^{3} \div {(4^{- 2})}^{- 3}$
203265	Graph	y=x+1 if x<=2	$y = x + 1$ if $x \leq 2$
203266	Simplify	((y^2-49)/((y-7)^2))÷((5y+35)/(y^2-7y))	$\frac{y^{2} - 49}{{(y - 7)}^{2}} \div \frac{5 y + 35}{y^{2} - 7 y}$
203267	Simplify the Radical Expression	(k^(1/8))^-1	${(k^{\frac{1}{8}})}^{- 1}$
203268	Solve by Graphing	y=-3/5x+2 y=x-6	$y = - \frac{3}{5} x + 2$ $y = x - 6$
203269	Find the Domain and Range	x^2+y=25	$x^{2} + y = 25$
203270	Simplify	8^(2/3)+8^(-2/3)	$8^{\frac{2}{3}} + 8^{- \frac{2}{3}}$
203271	Solve for x	3^(2x)>9	$3^{2 x} > 9$
203272	Simplify	( square root of x+ square root of y)÷( square root of xy)	$(\sqrt{x} + \sqrt{y}) \div \sqrt{x y}$
203273	Solve by Graphing	y=-1/2x+4 y=x+1	$y = - \frac{1}{2} x + 4$ $y = x + 1$
203274	Solve the System of Equations	3/4x-5/6y=23/4 -3/4x+1/12y=-5/4	$\frac{3}{4} x - \frac{5}{6} y = \frac{23}{4}$ $- \frac{3}{4} x + \frac{1}{12} y = - \frac{5}{4}$
203275	Divide	(-m^5n^2+1/2m^4n^4+2/3m^3n+4mn^4)÷(-4m^5n^3)	$(- m^{5} n^{2} + \frac{1}{2} m^{4} n^{4} + \frac{2}{3} m^{3} n + 4 m n^{4}) \div (- 4 m^{5} n^{3})$
203276	Evaluate the Function	f(x)=2x^3-9x^2+12x-5 at x=-1	$f (x) = 2 x^{3} - 9 x^{2} + 12 x - 5$ at $x = - 1$
203277	Solve for x	2x^(5/3)-18x=0	$2 x^{\frac{5}{3}} - 18 x = 0$
203278	Solve for c	2+c+11=-c-19	$2 + c + 11 = - c - 19$
203279	Simplify	((x-1)/2)÷(5/4)	$\frac{x - 1}{2} \div \frac{5}{4}$
203280	Evaluate	3(cos(pi/3)+isin(pi/3))*5(cos(pi/4)+isin(pi/4))	$3 (\cos (\frac{π}{3}) + i \sin (\frac{π}{3})) \cdot 5 (\cos (\frac{π}{4}) + i \sin (\frac{π}{4}))$
203281	Solve for x	x^4+2x^3=7	$x^{4} + 2 x^{3} = 7$
203282	Convert to Rectangular	r=1/(cos(theta)+sin(theta))	$r = \frac{1}{\cos (θ) + \sin (θ)}$
203283	Evaluate	2/5(1/3+1/2)	$\frac{2}{5} (\frac{1}{3} + \frac{1}{2})$
203284	Find the x and y Intercepts	y=-(x+5)(2x+3)(x-2)(x-4)	$y = - (x + 5) (2 x + 3) (x - 2) (x - 4)$
203285	Simplify	(2 square root of 2+2 square root of 5)/( square root of 5+ square root of 2)	$\frac{2 \sqrt{2} + 2 \sqrt{5}}{\sqrt{5} + \sqrt{2}}$
203286	Simplify	fourth root of 18* square root of 12	$\sqrt[4]{18} \cdot \sqrt{12}$
203287	Simplify	2 square root of 147mn	$2 \sqrt{147 m n}$
203288	Simplify	(-5 square root of 20)÷( square root of 2)	$- 5 \sqrt{20} \div \sqrt{2}$
203289	Simplify	(2- square root of 98)(3+ square root of 18)	$(2 - \sqrt{98}) (3 + \sqrt{18})$
203290	Solve for a	(8z-9)(8z+9)=az^2-b	$(8 z - 9) (8 z + 9) = a z^{2} - b$
203291	Simplify	(8 cube root of 144a^15)/(4 cube root of 3a^5)	$\frac{8 \sqrt[3]{144 a^{15}}}{4 \sqrt[3]{3 a^{5}}}$
203292	Solve Using the Quadratic Formula	5x-7x^2=3x+4	$5 x - 7 x^{2} = 3 x + 4$
203293	Solve for n	(-n)/5=-5	$\frac{- n}{5} = - 5$
203294	Find the Product	-7x(3x^2-4x+9)	$- 7 x (3 x^{2} - 4 x + 9)$
203295	Simplify	-2xy(-3xy^2+4x^2y)	$- 2 x y (- 3 x y^{2} + 4 x^{2} y)$
203296	Solve for x	3/4x+2/3=1/2-1/4x	$\frac{3}{4} x + \frac{2}{3} = \frac{1}{2} - \frac{1}{4} x$
203297	Solve for c	5\|c+3\|-1=9	$5 \| c + 3 \| - 1 = 9$
203298	Simplify	square root of (45x^3y^4)/(16x^2)	$\sqrt{\frac{45 x^{3} y^{4}}{16 x^{2}}}$
203299	Evaluate	3^2-15÷5+(6+4)	$3^{2} - 15 \div 5 + (6 + 4)$
203300	Simplify	(3(x+3)(2x-1))/((x+2)(x+3))	$\frac{3 (x + 3) (2 x - 1)}{(x + 2) (x + 3)}$