Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
204001	Write the Fraction in Simplest Form	(x^2y^8)^(2/3)	${(x^{2} y^{8})}^{\frac{2}{3}}$
204002	Simplify	(4r-s)-(r+2s)+(3r-s)	$(4 r - s) - (r + 2 s) + (3 r - s)$
204003	Simplify	2j(7j^2k^2+jk^2+5k)-9k(-2j^2k^2+2k^2+3j)	$2 j (7 j^{2} k^{2} + j k^{2} + 5 k) - 9 k (- 2 j^{2} k^{2} + 2 k^{2} + 3 j)$
204004	Find the Domain and Range	f(x)=3cot(4x)+2	$f (x) = 3 \cot (4 x) + 2$
204005	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-6x^6-6+4x^3+10x	$f (x) = - 6 x^{6} - 6 + 4 x^{3} + 10 x$
204006	Simplify the Radical Expression	x^3 square root of x^7	$x^{3} \sqrt{x^{7}}$
204007	Simplify the Radical Expression	square root of 20+ square root of 45	$\sqrt{20} + \sqrt{45}$
204008	Solve for s	square root of 3s+10=s	$\sqrt{3 s + 10} = s$
204009	Solve for x	(2x+4)/(x^2+4x+3)=1/(x+1)+1/(x+3)	$\frac{2 x + 4}{x^{2} + 4 x + 3} = \frac{1}{x + 1} + \frac{1}{x + 3}$
204010	Evaluate	( cube root of 256)^4	${(\sqrt[3]{256})}^{4}$
204011	Factor by Grouping	(b-c)^3+(c-a)^3+(a-b)^3	${(b - c)}^{3} + {(c - a)}^{3} + {(a - b)}^{3}$
204012	Simplify	((10^4)/(10^-5))^0	${(\frac{10^{4}}{10^{- 5}})}^{0}$
204013	Simplify	a(a^2+a-1)	$a (a^{2} + a - 1)$
204014	Simplify the Radical Expression	( square root of 2+ square root of 3)( square root of 2- square root of 3)	$(\sqrt{2} + \sqrt{3}) (\sqrt{2} - \sqrt{3})$
204015	Solve for x	2 square root of x-1 = square root of 32	$2 \sqrt{x - 1} = \sqrt{32}$
204016	Solve for x	(16x)/(x+6)=(x^2)/(x+6)+5	$\frac{16 x}{x + 6} = \frac{x^{2}}{x + 6} + 5$
204017	Simplify	(7a^3b^-1)^0	${(7 a^{3} b^{- 1})}^{0}$
204018	Graph	8x+2>=26 or 4x-6<=-26	$8 x + 2 \geq 26$ or $4 x - 6 \leq - 26$
204019	Solve the Inequality for y	x+2y<=6	$x + 2 y \leq 6$
204020	Simplify	( square root of (2x)^2)/( square root of (5y)^4)	$\frac{\sqrt{{(2 x)}^{2}}}{\sqrt{{(5 y)}^{4}}}$
204021	Simplify	Subtract -2w from -6w	Subtract $- 2 w$ from $- 6 w$
204022	Simplify	( fourth root of 81)/( cube root of x^2)	$\frac{\sqrt[4]{81}}{\sqrt[3]{x^{2}}}$
204023	Graph	f(x)=6x-x^3-x^5	$f (x) = 6 x - x^{3} - x^{5}$
204024	Simplify	(2x+bx-2y-by)/(7x-7y)	$\frac{2 x + b x - 2 y - b y}{7 x - 7 y}$
204025	Simplify the Radical Expression	- square root of 45+2 square root of 5- square root of 20-2 square root of 6	$- \sqrt{45} + 2 \sqrt{5} - \sqrt{20} - 2 \sqrt{6}$
204026	Simplify	2*2^-4	$2 \cdot 2^{- 4}$
204027	Solve the System of Equations	y=-3/5x-1 y=-4/5x	$y = - \frac{3}{5} x - 1$ $y = - \frac{4}{5} x$
204028	Graph	y>=2x+1 and y<-x+1	$y \geq 2 x + 1$ and $y < - x + 1$
204029	Solve for Y	x+6Y=27	$x + 6 Y = 27$
204030	Solve for x	x/2-(x-35)/5=4	$\frac{x}{2} - \frac{x - 35}{5} = 4$
204031	Simplify	-2r^2s-8rs+3r^2s^2-5rs+10r^2s	$- 2 r^{2} s - 8 r s + 3 r^{2} s^{2} - 5 r s + 10 r^{2} s$
204032	Multiply	3x fourth root of 8x^2y^2*5y fourth root of 8x^2y^4	$3 x \sqrt[4]{8 x^{2} y^{2}} \cdot 5 y \sqrt[4]{8 x^{2} y^{4}}$
204033	Simplify	5 square root of 2- fourth root of 64+2 square root of 32	$5 \sqrt{2} - \sqrt[4]{64} + 2 \sqrt{32}$
204034	Simplify	3 cube root of 16-2 cube root of 54	$3 \sqrt[3]{16} - 2 \sqrt[3]{54}$
204035	Multiply	4/5212/514/50	$\frac{4}{52} \cdot \frac{12}{51} \cdot \frac{4}{50}$
204036	Solve the Inequality for x	-4<(2x-3)/3<4	$- 4 < \frac{2 x - 3}{3} < 4$
204037	Solve for c	9c(c-11)+10(5c-3)=3c(c+5)+c(6c-3)-30	$9 c (c - 11) + 10 (5 c - 3) = 3 c (c + 5) + c (6 c - 3) - 30$
204038	Graph	y=0^x	$y = 0^{x}$
204039	Simplify	(-25x^4y^3+30x^2y^5)/(-5x^2y)	$\frac{- 25 x^{4} y^{3} + 30 x^{2} y^{5}}{- 5 x^{2} y}$
204040	Solve the Rational Equation for x	square root of x=6	$\sqrt{x} = 6$
204041	Graph	F(x)=3 cube root of x	$F (x) = 3 \sqrt[3]{x}$
204042	Evaluate	f(3)=1/3(6)^3	$f (3) = \frac{1}{3} {(6)}^{3}$
204043	Simplify	(27x^-2y^6)/(3x^5y^2z^0)	$\frac{27 x^{- 2} y^{6}}{3 x^{5} y^{2} z^{0}}$
204044	Solve for x	(1/5)^(-2x^2-4)=125^(10x-32)	${(\frac{1}{5})}^{- 2 x^{2} - 4} = 125^{10 x - 32}$
204045	Evaluate	4x-6+x+3	$4 x - 6 + x + 3$
204046	Simplify	fifth root of 7* fifth root of 7^6	$\sqrt[5]{7} \cdot \sqrt[5]{7^{6}}$
204047	Solve for x	-2sin(x)^2+cos(x)+1=0	$- 2 \sin^{2} (x) + \cos (x) + 1 = 0$
204048	Simplify	1/2 square root of 2+1/3 square root of 2	$\frac{1}{2} \sqrt{2} + \frac{1}{3} \sqrt{2}$
204049	Divide Using Long Polynomial Division	(5x^3+x^2+x-13)÷(x^2-1)	$(5 x^{3} + x^{2} + x - 13) \div (x^{2} - 1)$
204050	Simplify	(2x)/(x+5)-(2x^2-3)/(x^2+5x)	$\frac{2 x}{x + 5} - \frac{2 x^{2} - 3}{x^{2} + 5 x}$
204051	Solve the Inequality for x	-1/2<=(4-3x)/5<=1/4	$- \frac{1}{2} \leq \frac{4 - 3 x}{5} \leq \frac{1}{4}$
204052	Solve the Inequality for x	3x-7x+2<10-12	$3 x - 7 x + 2 < 10 - 12$
204053	Solve for x	64^(12x+81)=8^(3x^2+15x)	$64^{12 x + 81} = 8^{3 x^{2} + 15 x}$
204054	Solve the System of Equations	11+y=-5x 3y=47+5x	$11 + y = - 5 x$ $3 y = 47 + 5 x$
204055	Solve for x	natural log of -2x+5+ natural log of x+4=k	$\ln (- 2 x + 5) + \ln (x + 4) = k$
204056	Solve the System of Equations	y=x+3 y=2/5x	$y = x + 3$ $y = \frac{2}{5} x$
204057	Write as a Single Logarithm	1/3( natural log of 64- natural log of 8x^3)	$\frac{1}{3} (\ln (64) - \ln (8 x^{3}))$
204058	Rationalize the Denominator	4/( square root of 54)	$\frac{4}{\sqrt{54}}$
204059	Simplify	30 root of 32d^20n^15p^25	$\sqrt[30]{32 d^{20} n^{15} p^{25}}$
204060	Simplify	square root of 5/(3b)	$\sqrt[2]{\frac{5}{3 b}}$
204061	Convert to a Decimal	4.80 for 6 cans	$4.8$ for $6$ cans
204062	Solve for w	18w+13=19w-7+6	$18 w + 13 = 19 w - 7 + 6$
204063	Solve for x	1/(\|2x-3\|)>2	$\frac{1}{\| 2 x - 3 \|} > 2$
204064	Evaluate	(2/6*1 4/10)÷1 3/5	$(\frac{2}{6} \cdot 1 \frac{4}{10}) \div 1 \frac{3}{5}$
204065	Simplify the Radical Expression	(2x^(3/2))/((16x^4)^(1/4))	$\frac{2 x^{\frac{3}{2}}}{{(16 x^{4})}^{\frac{1}{4}}}$
204066	Simplify	((x^-11)(x^6))/(y^-2)	$\frac{(x^{- 11}) (x^{6})}{y^{- 2}}$
204067	Factor	x^2-4x+4+5x^6-10x^5	$x^{2} - 4 x + 4 + 5 x^{6} - 10 x^{5}$
204068	Simplify	(2x^4y^-4)(3x^2y^4)	$(2 x^{4} y^{- 4}) (3 x^{2} y^{4})$
204069	Simplify	(x+y)(x-y)-(x-1)(x-2)	$(x + y) (x - y) - (x - 1) (x - 2)$
204070	Divide Using Long Polynomial Division	6x^3+25x^2+18x+14 divided by 2x+7	$6 x^{3} + 25 x^{2} + 18 x + 14$ divided by $2 x + 7$
204071	Simplify	Simplify: (8^(2/3))^4	Simplify: ${(8^{\frac{2}{3}})}^{4}$
204072	Solve for c	(1/27)^(c+4)=3^4*3^(c-9)	${(\frac{1}{27})}^{c + 4} = 3^{4} \cdot 3^{c - 9}$
204073	Simplify	2x(x+3(x+1))	$2 x (x + 3 (x + 1))$
204074	Simplify	3/4x+5(1/4x+3)	$\frac{3}{4} x + 5 (\frac{1}{4} x + 3)$
204075	Identify the Sequence	-1/8 , -1/4 , -1/2 , -1	$- \frac{1}{8}$ , $- \frac{1}{4}$ , $- \frac{1}{2}$ , $- 1$
204076	Simplify the Radical Expression	( square root of 3- square root of 6)/( square root of 3+ square root of 6)	$\frac{\sqrt{3} - \sqrt{6}}{\sqrt{3} + \sqrt{6}}$
204077	Solve by Substitution	y=4+x y=-5x+16	$y = 4 + x$ $y = - 5 x + 16$
204078	Simplify	((4x^-2y^5)/(8x^6y^-2))^-2	${(\frac{4 x^{- 2} y^{5}}{8 x^{6} y^{- 2}})}^{- 2}$
204079	Evaluate	(3 1/3÷10+0.175÷0.35)/(1.75-1 11/1751/56)-((11/18-1/15)÷1.4)/((0.5-1/9)3)	$\frac{3 \frac{1}{3} \div 10 + 0.175 \div 0.35}{1.75 - 1 \frac{11}{17} \cdot \frac{51}{56}} - \frac{(\frac{11}{18} - \frac{1}{15}) \div 1.4}{(0.5 - \frac{1}{9}) \cdot 3}$
204080	Simplify	((-3/4)^5)^2	${({(- \frac{3}{4})}^{5})}^{2}$
204081	Solve for x	1/x+6=5/( square root of x)	$\frac{1}{x} + 6 = \frac{5}{\sqrt{x}}$
204082	Simplify	((4x^2y^3)^0)/(8x^3)	$\frac{{(4 x^{2} y^{3})}^{0}}{8 x^{3}}$
204083	Simplify	(4a-3b+2c)-(-6a+4b-2c-2)	$(4 a - 3 b + 2 c) - (- 6 a + 4 b - 2 c - 2)$
204084	Solve the System of Equations	6x+3y=54 2x+y=18	$6 x + 3 y = 54$ $2 x + y = 18$
204085	Solve the System of Equations	y-3=2x y^2=x^2+9	$y - 3 = 2 x$ $y^{2} = x^{2} + 9$
204086	Simplify the Radical Expression	fourth root of y^(7/3)y^(1/3)	$\sqrt[4]{y^{\frac{7}{3}} y^{\frac{1}{3}}}$
204087	Simplify	(5a+3b)(4a^-1-2b^-1)	$(5 a + 3 b) (4 a^{- 1} - 2 b^{- 1})$
204088	Simplify	-1/5(10x+y)	$- \frac{1}{5} (10 x + y)$
204089	Solve for n	(n-27)^(3/2)=64	${(n - 27)}^{\frac{3}{2}} = 64$
204090	Solve for V	V^2=-144	$V^{2} = - 144$
204091	Solve for x	2x-(3x)/2=4	$2 x - \frac{3 x}{2} = 4$
204092	Simplify	(n^-6*n^5)^(1/4)	${(n^{- 6} \cdot n^{5})}^{\frac{1}{4}}$
204093	Simplify the Radical Expression	4 cube root of -9*7 cube root of 48	$4 \sqrt[3]{- 9} \cdot 7 \sqrt[3]{48}$
204094	Solve the Inequality for r	r-6>-11	$r - 6 > - 11$
204095	Simplify	( square root of 48x^7y^5)/( square root of x^2)	$\frac{\sqrt{48 x^{7} y^{5}}}{\sqrt{x^{2}}}$
204096	Solve for x	-4=6^(4x-3)	$- 4 = 6^{4 x - 3}$
204097	Solve for k	20/8=(4k)/32	$\frac{20}{8} = \frac{4 k}{32}$
204098	Evaluate	((2^5)^-3)/((2^-2)^2)	$\frac{{(2^{5})}^{- 3}}{{(2^{- 2})}^{2}}$
204099	Evaluate	fourth root of (24x^6y)/(128x^4y^5)	$\sqrt[4]{\frac{24 x^{6} y}{128 x^{4} y^{5}}}$
204100	Write in Exponential Form	square root of (6a)^4	$\sqrt{{(6 a)}^{4}}$