Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
178001	Convert to Meters	20cm	$20 cm$
178002	Divide Using Long Polynomial Division	(-24x^4+39x^3-18x^2+21x-18)/(3x-3)	$\frac{- 24 x^{4} + 39 x^{3} - 18 x^{2} + 21 x - 18}{3 x - 3}$
178003	Solve for θ	cos(2theta)=1	$\cos (2 θ) = 1$
178004	Solve the Inequality for x	-6>=10-8x	$- 6 \geq 10 - 8 x$
178005	Simplify	( square root of 4)/(4 square root of 5)	$\frac{\sqrt{4}}{4 \sqrt{5}}$
178006	Convert to Polar	y=6	$y = 6$
178007	Solve for x	2/(x^2-x)-(x+1)/(x^2-x)=(5x+15)/x	$\frac{2}{x^{2} - x} - \frac{x + 1}{x^{2} - x} = \frac{5 x + 15}{x}$
178008	Simplify	(25a^13b^4)/(-5a^2b^3)	$\frac{25 a^{13} b^{4}}{- 5 a^{2} b^{3}}$
178009	Evaluate Using the Given Value	3(x-4)+2x-x^2 for x=5	$3 (x - 4) + 2 x - x^{2}$ for $x = 5$
178010	Graph	4+y^2=x^2	$4 + y^{2} = x^{2}$
178011	Evaluate	1/2(-3)+2	$\frac{1}{2} (- 3) + 2$
178012	Solve for v	2/3\|4v+6\|-2<=10	$\frac{2}{3} \| 4 v + 6 \| - 2 \leq 10$
178013	Find the Distance Between Two Points	(-8,0) and (1,4)	$(- 8, 0)$ and $(1, 4)$
178014	Write in Standard Form	f(x)=(x-1)^2	$f (x) = {(x - 1)}^{2}$
178015	Solve the Inequality for x	(x+3)(x+4)>0	$(x + 3) (x + 4) > 0$
178016	Subtract	1/15-1/3-4/5	$\frac{1}{15} - \frac{1}{3} - \frac{4}{5}$
178017	Graph	y-5=9/7(x+4)	$y - 5 = \frac{9}{7} (x + 4)$
178018	Solve for a	2(x+a)=4b	$2 (x + a) = 4 b$
178019	Find the First Term	a_n=2n-5	$a_{n} = 2 n - 5$
178020	Solve for x	19=1.085^(3x-2)	$19 = {1.085}^{3 x - 2}$
178021	Solve the Inequality for x	x^4>64x^2	$x^{4} > 64 x^{2}$
178022	Simplify	((4c^-5)/(8d^0))^3	${(\frac{4 c^{- 5}}{8 d^{0}})}^{3}$
178023	Find the Sum and Product of the Roots of the Quadratic Equation	6x^2-7x+2=0	$6 x^{2} - 7 x + 2 = 0$
178024	Factor by Grouping	2y^3-6ay^2-y+3a	$2 y^{3} - 6 a y^{2} - y + 3 a$
178025	Simplify	1/2x+x	$\frac{1}{2} x + x$
178026	Graph	y<=-x-8 y>1/2x-2	$y \leq - x - 8$ $y > \frac{1}{2} x - 2$
178027	Simplify	2y square root of 63x^2y^4	$2 y \sqrt{63 x^{2} y^{4}}$
178028	Graph	y=x+6 y=-2x-3	$y = x + 6$ $y = - 2 x - 3$
178029	Solve for t	t^2-7t+16=t	$t^{2} - 7 t + 16 = t$
178030	Factor	4x^4+4+8x^2	$4 x^{4} + 4 + 8 x^{2}$
178031	Find All Complex Solutions	15/(a^2-1)=5/(2a-2)	$\frac{15}{a^{2} - 1} = \frac{5}{2 a - 2}$
178032	Solve for x	7/8-1/x=3/4	$\frac{7}{8} - \frac{1}{x} = \frac{3}{4}$
178033	Find the Exact Value	log base 2 of 1/32	$\log_{2} (\frac{1}{32})$
178034	Simplify	(x-y)^2-(x+y)^2	${(x - y)}^{2} - {(x + y)}^{2}$
178035	Evaluate	1/2(2^2+22)	$\frac{1}{2} (2^{2} + 22)$
178036	Graph	a=-2 and b=-4	$a = - 2$ and $b = - 4$
178037	Divide	(a^2-ab)/a	$\frac{a^{2} - a b}{a}$
178038	Find the Exact Value	(-2/3)^2	${(- \frac{2}{3})}^{2}$
178039	Simplify	(-3+3n^5+6n^3)+(7n^5+5n^3-3)	$(- 3 + 3 n^{5} + 6 n^{3}) + (7 n^{5} + 5 n^{3} - 3)$
178040	Simplify	( square root of 3-1)/(1+ square root of 3)	$\frac{\sqrt{3} - 1}{1 + \sqrt{3}}$
178041	Simplify	(2x^3y-3y)^2	${(2 x^{3} y - 3 y)}^{2}$
178042	Find the Complex Conjugate	square root of -12	$\sqrt{- 12}$
178043	Simplify	( cube root of 4)^2	${(\sqrt[3]{4})}^{2}$
178044	Simplify	(7y^6)(2y^-4)^2	$(7 y^{6}) {(2 y^{- 4})}^{2}$
178045	Solve the System of Equations	y=x^2-24 y=x-12	$y = x^{2} - 24$ $y = x - 12$
178046	Evaluate	92+2+25^2	$9 \cdot 2 + 2 + 2 \cdot 5^{2}$
178047	Simplify	(523)^4	${(5 \cdot 2 \cdot 3)}^{4}$
178048	Simplify	((x-7)/10+1/x)/(1/2-x/4)	$\frac{\frac{x - 7}{10} + \frac{1}{x}}{\frac{1}{2} - \frac{x}{4}}$
178049	Factor by Grouping	15a-12b-5ap+4bp	$15 a - 12 b - 5 a p + 4 b p$
178050	Evaluate	tan(0)^2	$\tan^{2} (0)$
178051	Find the 7th Term	1 , 4 , 9 , 16 , 25 , 36	$1$ , $4$ , $9$ , $16$ , $25$ , $36$
178052	Solve for a	(x^(4/3))/x=x^a	$\frac{x^{\frac{4}{3}}}{x} = x^{a}$
178053	Evaluate	(x^9)/(x^4)	$\frac{x^{9}}{x^{4}}$
178054	Solve the System of Inequalities	x+7<3 or x-5>=-1	$x + 7 < 3$ or $x - 5 \geq - 1$
178055	Solve for h	a=1/2bh solve for h	$a = \frac{1}{2} b h$ solve for $h$
178056	Simplify	5r^6t^4((4r^3s^2t^4)/(2r^4st^6))^5	$5 r^{6} t^{4} {(\frac{4 r^{3} s^{2} t^{4}}{2 r^{4} s t^{6}})}^{5}$
178057	Solve for x	3(5x+10)+10=6x-(x+10)	$3 (5 x + 10) + 10 = 6 x - (x + 10)$
178058	Solve for x	(x+2)/5=(10-2x)/3	$\frac{x + 2}{5} = \frac{10 - 2 x}{3}$
178059	Write in Slope-Intercept Form	-6x+2y<=42	$- 6 x + 2 y \leq 42$
178060	Write in Standard Form	-17-8x^2=4x-3x^2	$- 17 - 8 x^{2} = 4 x - 3 x^{2}$
178061	Simplify	cos(t(sec(t)-cos(t)))	$\cos (t (\sec (t) - \cos (t)))$
178062	Solve for n	square root of n = square root of 3n-3+1	$\sqrt{n} = \sqrt{3 n - 3} + 1$
178063	Solve for x	2 natural log of x=4 natural log of 2	$2 \ln (x) = 4 \ln (2)$
178064	Solve the Inequality for k	3(k-9)>3k+6	$3 (k - 9) > 3 k + 6$
178065	Simplify the Radical Expression	3/( square root of 3)	$\frac{3}{\sqrt{3}}$
178066	Evaluate	log base 11 of x+ log base 11 of 10x-1=1	$\log_{11} (x) + \log_{11} (10 x - 1) = 1$
178067	Simplify	square root of 20+ square root of 18- square root of 5	$\sqrt{20} + \sqrt{18} - \sqrt{5}$
178068	Evaluate	square root of 9-x^2	$\sqrt{9 - x^{2}}$
178069	Find the Expanded Form	(x+2)^2+(y- square root of 5)^2-4=0	${(x + 2)}^{2} + {(y - \sqrt{5})}^{2} - 4 = 0$
178070	Factor	ay-yx-x^2+ax	$a y - y x - x^{2} + a x$
178071	Solve for v	1=(v+2)/(v-4)+(7v-42)/(v-4)	$1 = \frac{v + 2}{v - 4} + \frac{7 v - 42}{v - 4}$
178072	Find f(g(x))	f(x)=2x g(x)=2x	$f (x) = 2 x$ $g (x) = 2 x$
178073	Find the Quotient	(-2c^2d^10)/((-12c^3d^7)(18c^9d^8))	$\frac{- 2 c^{2} d^{10}}{(- 12 c^{3} d^{7}) (18 c^{9} d^{8})}$
178074	Solve for b	e^b=46	$e^{b} = 46$
178075	Solve for g	-0.5g+13=3g	$- 0.5 g + 13 = 3 g$
178076	Graph	f(x)=x+3 if x<=-4; 0 if -4=5	$f (x) = {\begin{cases} x + 3 & x \leq - 4 \\ 0 & - 4 = 5 \end{cases}$
178077	Solve for x	x^2-15=2x	$x^{2} - 15 = 2 x$
178078	Find the Roots (Zeros)	3x^2-16x+15=3	$3 x^{2} - 16 x + 15 = 3$
178079	Simplify	4x^2 square root of 18x^3y^7	$4 x^{2} \sqrt{18 x^{3} y^{7}}$
178080	Find the Domain and Range	y=(x+3)	$y = (x + 3)$
178081	Subtract	8 6/10-4 7/12	$8 \frac{6}{10} - 4 \frac{7}{12}$
178082	Solve for p	5p=4(1/2p-1)	$5 p = 4 (\frac{1}{2} p - 1)$
178083	Write the Fraction in Simplest Form	(10 cube root of z)/(2z^2)	$\frac{10 \sqrt[3]{z}}{2 z^{2}}$
178084	Solve by Substitution	-x-3=y -3x-8y=4	$- x - 3 = y$ $- 3 x - 8 y = 4$
178085	Find g(f(x))	f(x)=4x+1 , g(x) = square root of x	$f (x) = 4 x + 1$ , $g (x) = \sqrt{x}$
178086	Find the Holes in the Graph	f(x)=(x-4)/(-4x-16)	$f (x) = \frac{x - 4}{- 4 x - 16}$
178087	Simplify	sixth root of (m^48n^42)/729	$\sqrt[6]{\frac{m^{48} n^{42}}{729}}$
178088	Simplify	3y^2+(y+7)^2-15	$3 y^{2} + {(y + 7)}^{2} - 15$
178089	Solve for x	1/(x-5)+2=5/(x^2-5x)	$\frac{1}{x - 5} + 2 = \frac{5}{x^{2} - 5 x}$
178090	Graph	x^2>-6x	$x^{2} > - 6 x$
178091	Graph	f(x)=1/3 square root of x	$f (x) = \frac{1}{3} \sqrt{x}$
178092	Solve for k	3x^2+kx+12=0	$3 x^{2} + k x + 12 = 0$
178093	Solve the System of Equations	x^2+y^2=9 x+y=3	$x^{2} + y^{2} = 9$ $x + y = 3$
178094	Simplify	(6^-2*6^5)^-3	${(6^{- 2} \cdot 6^{5})}^{- 3}$
178095	Simplify	cube root of (x^3y^12)/64	$\sqrt[3]{\frac{x^{3} y^{12}}{64}}$
178096	Solve for x	-1-7/x=-6x	$- 1 - \frac{7}{x} = - 6 x$
178097	Solve the Inequality for x	1/(x+4)>0	$\frac{1}{x + 4} > 0$
178098	Solve for n	1/(n^2)+4/n=3/(n^2)	$\frac{1}{n^{2}} + \frac{4}{n} = \frac{3}{n^{2}}$
178099	Find the Parallel Line	(-3,6) and parallel to x+2y=5	$(- 3, 6)$ and parallel to $x + 2 y = 5$
178100	Solve for x	3kx+2kx=10	$3 k x + 2 k x = 10$