Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
186301	Find the Exact Value	18-12+2*3^2-12÷(1+1)	$18 - 12 + 2 \cdot 3^{2} - 12 \div (1 + 1)$
186302	Solve for q	10q+3q+5=2(q-3)	$10 q + 3 q + 5 = 2 (q - 3)$
186303	Simplify	square root of 8* square root of 6	$\sqrt{8 \cdot \sqrt{6}}$
186304	Graph	y>=2x+7 y>-1/3x-2	$y \geq 2 x + 7$ $y > - \frac{1}{3} x - 2$
186305	Find the Inverse	f(x) = square root of x^3+5	$f (x) = \sqrt{x^{3} + 5}$
186306	Simplify	25^20	$25^{20}$
186307	Solve for r	g(r)=-5r+13	$g (r) = - 5 r + 13$
186308	Find the Holes in the Graph	f(x)=(x(2+x))/(2x-x^2)	$f (x) = \frac{x (2 + x)}{2 x - x^{2}}$
186309	Combine Like Terms	(x+8)(x-8)	$(x + 8) (x - 8)$
186310	Solve for a	(x^(1/5))^3=x^a	${(x^{\frac{1}{5}})}^{3} = x^{a}$
186311	Graph Using a Table of Values	y=(1/3)^(x-3)-3	$y = {(\frac{1}{3})}^{x - 3} - 3$
186312	Evaluate	(2/5)^-3*(3/7)^-3	${(\frac{2}{5})}^{- 3} \cdot {(\frac{3}{7})}^{- 3}$
186313	Simplify	(4a^2b)^4((-a^3)/(2b))^2	${(4 a^{2} b)}^{4} {(\frac{- a^{3}}{2 b})}^{2}$
186314	Solve for r	r-14>=17	$r - 14 \geq 17$
186315	Find the Distance Between Two Points	(3,6) and (1,8)	$(3, 6)$ and $(1, 8)$
186316	Simplify	(2y^2)/(4y^4*2y^3)	$\frac{2 y^{2}}{4 y^{4} \cdot 2 y^{3}}$
186317	Evaluate	tan(x)=0	$\tan (x) = 0$
186318	Solve for y	-4y-10=4(y-3)	$- 4 y - 10 = 4 (y - 3)$
186319	Graph	y=2*2^(-x)+4	$y = 2 \cdot 2^{- x} + 4$
186320	Find the x and y Intercepts	f(x)=-x^4-2x-x^5+2x^3-3x^2	$f (x) = - x^{4} - 2 x - x^{5} + 2 x^{3} - 3 x^{2}$
186321	Solve for w	-6(w+1)=2(1-3w)-7	$- 6 (w + 1) = 2 (1 - 3 w) - 7$
186322	Solve for n	n = square root of -30+11n	$n = \sqrt{- 30 + 11 n}$
186323	Solve for x	square root of x+7-1 = square root of 3x+10	$\sqrt{x + 7} - 1 = \sqrt{3 x + 10}$
186324	Solve for x	7/(x+3)=4/(x-3)-3/(x^2-9)	$\frac{7}{x + 3} = \frac{4}{x - 3} - \frac{3}{x^{2} - 9}$
186325	Graph	f^-1(x)=x^3-2	$f^{- 1} (x) = x^{3} - 2$
186326	Solve for c	a=3/4(b+c)	$a = \frac{3}{4} (b + c)$
186327	Solve for x	2+\|5x-10\|=22	$2 + \| 5 x - 10 \| = 22$
186328	Divide	(20-28i)/(-4+4i)	$\frac{20 - 28 i}{- 4 + 4 i}$
186329	Simplify the Radical Expression	square root of 3/2	$\sqrt{\frac{3}{2}}$
186330	Solve the Inequality for x	x^3-8x^2+17x-10<0	$x^{3} - 8 x^{2} + 17 x - 10 < 0$
186331	Evaluate	(2pi)/3*1/4	$\frac{2 π}{3} \cdot \frac{1}{4}$
186332	Evaluate	4(5+3)=2(22-6)	$4 (5 + 3) = 2 (22 - 6)$
186333	Solve for x	\|2x+8\|=\|10x\|	$\| 2 x + 8 \| = \| 10 x \|$
186334	Solve the Inequality for x	x^2+5x<0	$x^{2} + 5 x < 0$
186335	Factor	27m^3+108m^2n+144mn^2+64n^3	$27 m^{3} + 108 m^{2} n + 144 m n^{2} + 64 n^{3}$
186336	Convert to Interval Notation	-x^2-8x-12>=0	$- x^{2} - 8 x - 12 \geq 0$
186337	Solve for h	rs+h^2=l	$r s + h^{2} = l$
186338	Solve for y	x = cube root of y	$x = \sqrt[3]{y}$
186339	Find the Domain and Range	y = square root of x^2	$y = \sqrt{x^{2}}$
186340	Subtract	subtract 7x+2 from -5x^2-2x	subtract $7 x + 2$ from $- 5 x^{2} - 2 x$
186341	Graph	x+Y=4 x+Y=2	$x + Y = 4$ $x + Y = 2$
186342	Simplify	((9)^-4)/((-3)^-8)	$\frac{{(9)}^{- 4}}{{(- 3)}^{- 8}}$
186343	Find f(g(x))	f(x)=x-2 g(x)=2x^2-5x+8	$f (x) = x - 2$ $g (x) = 2 x^{2} - 5 x + 8$
186344	Solve for w	15w^2+28w+3=-2	$15 w^{2} + 28 w + 3 = - 2$
186345	Evaluate	5n+6+(-7n)	$5 n + 6 + (- 7 n)$
186346	Solve for z	(2z-4)/5=(3z+3)/10	$\frac{2 z - 4}{5} = \frac{3 z + 3}{10}$
186347	Simplify	7-3+6+x	$7 - 3 + 6 + x$
186348	Solve Using the Quadratic Formula	x^2+9x-1=3x-10	$x^{2} + 9 x - 1 = 3 x - 10$
186349	Simplify	(t^4-t^2+t)-(12-9t^2-7t)	$(t^{4} - t^{2} + t) - (12 - 9 t^{2} - 7 t)$
186350	Solve for P	K=PRT	$K = P R T$
186351	Describe the Transformation	1/3f(x)	$\frac{1}{3} f (x)$
186352	Solve for B	A=2/9(B+C)	$A = \frac{2}{9} (B + C)$
186353	Simplify	3 square root of 10+7 square root of 15-6 square root of 10-4 square root of 15	$3 \sqrt{10} + 7 \sqrt{15} - 6 \sqrt{10} - 4 \sqrt{15}$
186354	Solve for t	3(t^2-9)^2+16(t^2-9)=-5	$3 {(t^{2} - 9)}^{2} + 16 (t^{2} - 9) = - 5$
186355	Simplify	(7x^3-9x^2-14x)-(4x^3-4-x)	$(7 x^{3} - 9 x^{2} - 14 x) - (4 x^{3} - 4 - x)$
186356	Solve the Inequality for x	3x^2-x-2>0	$3 x^{2} - x - 2 > 0$
186357	Graph	Graph y=2/3x-4	Graph $y = \frac{2}{3} x - 4$
186358	Solve for x	9x^2-35=14	$9 x^{2} - 35 = 14$
186359	Graph	2x+y=3 x+3y=1	$2 x + y = 3$ $x + 3 y = 1$
186360	Factor	ab-a^3b^3	$a b - a^{3} b^{3}$
186361	Write in Standard Form	2(3x+5)=x^2	$2 (3 x + 5) = x^{2}$
186362	Simplify	4m^(x-2)-10m^(x-2)+3m^(x-2)	$4 m^{x - 2} - 10 m^{x - 2} + 3 m^{x - 2}$
186363	Solve for x	(5x)/(x+2)-2/(x^2+2x)=-9/(x+2)	$\frac{5 x}{x + 2} - \frac{2}{x^{2} + 2 x} = - \frac{9}{x + 2}$
186364	Graph	f^-1(x)=x-1	$f^{- 1} (x) = x - 1$
186365	Find the x and y Intercepts	f(x)=(x^2+4x)/(x^2+3x-4)	$f (x) = \frac{x^{2} + 4 x}{x^{2} + 3 x - 4}$
186366	Solve the Absolute Value Inequality for k	\|1-3/4k\|>=7	$\| 1 - \frac{3}{4} k \| \geq 7$
186367	Solve Using the Quadratic Formula	x^2=-3x	$x^{2} = - 3 x$
186368	Factor	25x^2-(x+2y+4z)^2	$25 x^{2} - {(x + 2 y + 4 z)}^{2}$
186369	Solve for y	x=1/(y+2)	$x = \frac{1}{y + 2}$
186370	Simplify	(3/x-x/3)/(x/3+1)	$\frac{\frac{3}{x} - \frac{x}{3}}{\frac{x}{3} + 1}$
186371	Solve for w	5w+8-w=6w-2(w-4)	$5 w + 8 - w = 6 w - 2 (w - 4)$
186372	Find the Inverse	f(x)=((x+9)^(1/5))/8	$f (x) = \frac{{(x + 9)}^{\frac{1}{5}}}{8}$
186373	Solve for x	12+1/5(10x+5)=59	$12 + \frac{1}{5} (10 x + 5) = 59$
186374	Factor	x^2-(y-z)^2	$x^{2} - {(y - z)}^{2}$
186375	Evaluate	(1-1/2)(1-1/3)(1-1/4)(1-1/5)	$(1 - \frac{1}{2}) (1 - \frac{1}{3}) (1 - \frac{1}{4}) (1 - \frac{1}{5})$
186376	Solve for z	(3z-2)^(2/5)=(8z)^(1/5)	${(3 z - 2)}^{\frac{2}{5}} = {(8 z)}^{\frac{1}{5}}$
186377	Find the x and y Intercepts	f(x)=(2x-2)/(2x^2+3x-9)	$f (x) = \frac{2 x - 2}{2 x^{2} + 3 x - 9}$
186378	Solve for d	\|-7d-8\|=9d+3	$\| - 7 d - 8 \| = 9 d + 3$
186379	Find the Equation Using Point-Slope Formula	(-8,-1) and (-6,5)	$(- 8, - 1)$ and $(- 6, 5)$
186380	Solve for y	x+1+2yi=3-6i	$x + 1 + 2 y i = 3 - 6 i$
186381	Simplify	(11x^2+2-5x)-(3+2x^2-5x)	$(11 x^{2} + 2 - 5 x) - (3 + 2 x^{2} - 5 x)$
186382	Simplify	((x^2)^35x)/(6x^215x^3)	$\frac{{(x^{2})}^{3} \cdot 5 x}{6 x^{2} \cdot 15 x^{3}}$
186383	Simplify	(-3 square root of -81)(-5+ square root of -9)+9i	$(- 3 \sqrt{- 81}) (- 5 + \sqrt{- 9}) + 9 i$
186384	Simplify	(2x)/(x-1)+x/(x-1)	$\frac{2 x}{x - 1} + \frac{x}{x - 1}$
186385	Simplify	log of 9x^5+5 log of 1/x	$\log (9 x^{5}) + 5 \log (\frac{1}{x})$
186386	Solve for x	-10+x>-3	$- 10 + x > - 3$
186387	Divide Using Synthetic Division	(3x-4x^3+6x^4+1)/(x+3)	$\frac{(3 x - 4 x^{3} + 6 x^{4} + 1)}{(x + 3)}$
186388	Solve by Completing the Square	x^2+306=16x-3	$x^{2} + 306 = 16 x - 3$
186389	Simplify	4i^15*5i^6	$4 i^{15} \cdot 5 i^{6}$
186390	Factor	x^3-x=0	$x^{3} - x = 0$
186391	Graph	g(x)=(-x)^(1/2)	$g (x) = {(- x)}^{\frac{1}{2}}$
186392	Solve for x	(8x-8)3/2=64	$(8 x - 8) \frac{3}{2} = 64$
186393	Simplify	11y^2(xy^5)	$11 y^{2} (x y^{5})$
186394	Solve for z	9z^2-30z+26=1	$9 z^{2} - 30 z + 26 = 1$
186395	Solve for m	9+12m=6+15(m-1)	$9 + 12 m = 6 + 15 (m - 1)$
186396	Expand the Logarithmic Expression	log of x/( cube root of yz^4)	$\log (\frac{x}{\sqrt[3]{y} z^{4}})$
186397	Simplify the Radical Expression	square root of 1/2	$\sqrt{\frac{1}{2}}$
186398	Find All Complex Solutions	square root of 3x+1- square root of x-1=2	$\sqrt{3 x + 1} - \sqrt{x - 1} = 2$
186399	Graph	g(x)=1/4x^3+1/2x^2+1/4x	$g (x) = \frac{1}{4} x^{3} + \frac{1}{2} x^{2} + \frac{1}{4} x$
186400	Evaluate	(10^-15)/(3.9*10^-7)	$\frac{10^{- 15}}{3.9 \times 10^{- 7}}$