Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
186301	Evaluate	(6!)/(0!(6-0)!)	$\frac{6!}{0! (6 - 0)!}$
186302	Evaluate	cot(theta)*sec(theta)	$\cot (θ) \cdot \sec (θ)$
186303	Solve for x	(1/27)^(4-x)=9^(2x-1)	${(\frac{1}{27})}^{4 - x} = 9^{2 x - 1}$
186304	Graph	\|y\|=x+2	$\| y \| = x + 2$
186305	Solve for c	13c-3c+6c=48	$13 c - 3 c + 6 c = 48$
186306	Graph	f(x)=x+2 if x<-3; x-2 if x>=-3	$f (x) = {\begin{cases} x + 2 & x < - 3 \\ x - 2 & x \geq - 3 \end{cases}$
186307	Divide	((9x^2-3x-2)/(2x-6))÷((9x^2-4)/(x-3))	$\frac{9 x^{2} - 3 x - 2}{2 x - 6} \div \frac{9 x^{2} - 4}{x - 3}$
186308	Divide	(42x^9y^2)/(-7x^5y^2)	$\frac{42 x^{9} y^{2}}{- 7 x^{5} y^{2}}$
186309	Factor	2ax^2+3bx^3	$2 a x^{2} + 3 b x^{3}$
186310	Solve for x	\|x+2\|=2x+4	$\| x + 2 \| = 2 x + 4$
186311	Simplify	8x^3 square root of 3x+2 square root of 108x^7	$8 x^{3} \sqrt{3 x} + 2 \sqrt{108 x^{7}}$
186312	Simplify	(x+2i)^2	${(x + 2 i)}^{2}$
186313	Solve for x	3x+5+x-25=180	$3 x + 5 + x - 25 = 180$
186314	Solve the System of Equations	y=2 and y=2x-3	$y = 2$ and $y = 2 x - 3$
186315	Graph	f(x)=3x+4 if x<=-1; 5 if x>3	$f (x) = {\begin{cases} 3 x + 4 & x \leq - 1 \\ 5 & x > 3 \end{cases}$
186316	Find the Exact Value	18-12+2*3^2-12÷(1+1)	$18 - 12 + 2 \cdot 3^{2} - 12 \div (1 + 1)$
186317	Solve for q	10q+3q+5=2(q-3)	$10 q + 3 q + 5 = 2 (q - 3)$
186318	Simplify	square root of 8* square root of 6	$\sqrt{8 \cdot \sqrt{6}}$
186319	Graph	y>=2x+7 y>-1/3x-2	$y \geq 2 x + 7$ $y > - \frac{1}{3} x - 2$
186320	Find the Inverse	f(x) = square root of x^3+5	$f (x) = \sqrt{x^{3} + 5}$
186321	Simplify	25^20	$25^{20}$
186322	Solve for r	g(r)=-5r+13	$g (r) = - 5 r + 13$
186323	Find the Holes in the Graph	f(x)=(x(2+x))/(2x-x^2)	$f (x) = \frac{x (2 + x)}{2 x - x^{2}}$
186324	Combine Like Terms	(x+8)(x-8)	$(x + 8) (x - 8)$
186325	Solve for a	(x^(1/5))^3=x^a	${(x^{\frac{1}{5}})}^{3} = x^{a}$
186326	Graph Using a Table of Values	y=(1/3)^(x-3)-3	$y = {(\frac{1}{3})}^{x - 3} - 3$
186327	Evaluate	(2/5)^-3*(3/7)^-3	${(\frac{2}{5})}^{- 3} \cdot {(\frac{3}{7})}^{- 3}$
186328	Simplify	(4a^2b)^4((-a^3)/(2b))^2	${(4 a^{2} b)}^{4} {(\frac{- a^{3}}{2 b})}^{2}$
186329	Solve for r	r-14>=17	$r - 14 \geq 17$
186330	Find the Distance Between Two Points	(3,6) and (1,8)	$(3, 6)$ and $(1, 8)$
186331	Simplify	(2y^2)/(4y^4*2y^3)	$\frac{2 y^{2}}{4 y^{4} \cdot 2 y^{3}}$
186332	Evaluate	tan(x)=0	$\tan (x) = 0$
186333	Solve for y	-4y-10=4(y-3)	$- 4 y - 10 = 4 (y - 3)$
186334	Graph	y=2*2^(-x)+4	$y = 2 \cdot 2^{- x} + 4$
186335	Find the x and y Intercepts	f(x)=-x^4-2x-x^5+2x^3-3x^2	$f (x) = - x^{4} - 2 x - x^{5} + 2 x^{3} - 3 x^{2}$
186336	Solve for w	-6(w+1)=2(1-3w)-7	$- 6 (w + 1) = 2 (1 - 3 w) - 7$
186337	Solve for n	n = square root of -30+11n	$n = \sqrt{- 30 + 11 n}$
186338	Solve for x	square root of x+7-1 = square root of 3x+10	$\sqrt{x + 7} - 1 = \sqrt{3 x + 10}$
186339	Solve for x	7/(x+3)=4/(x-3)-3/(x^2-9)	$\frac{7}{x + 3} = \frac{4}{x - 3} - \frac{3}{x^{2} - 9}$
186340	Graph	f^-1(x)=x^3-2	$f^{- 1} (x) = x^{3} - 2$
186341	Solve for c	a=3/4(b+c)	$a = \frac{3}{4} (b + c)$
186342	Solve for x	2+\|5x-10\|=22	$2 + \| 5 x - 10 \| = 22$
186343	Divide	(20-28i)/(-4+4i)	$\frac{20 - 28 i}{- 4 + 4 i}$
186344	Simplify the Radical Expression	square root of 3/2	$\sqrt{\frac{3}{2}}$
186345	Solve the Inequality for x	x^3-8x^2+17x-10<0	$x^{3} - 8 x^{2} + 17 x - 10 < 0$
186346	Evaluate	(2pi)/3*1/4	$\frac{2 π}{3} \cdot \frac{1}{4}$
186347	Evaluate	4(5+3)=2(22-6)	$4 (5 + 3) = 2 (22 - 6)$
186348	Solve for x	\|2x+8\|=\|10x\|	$\| 2 x + 8 \| = \| 10 x \|$
186349	Solve the Inequality for x	x^2+5x<0	$x^{2} + 5 x < 0$
186350	Factor	27m^3+108m^2n+144mn^2+64n^3	$27 m^{3} + 108 m^{2} n + 144 m n^{2} + 64 n^{3}$
186351	Convert to Interval Notation	-x^2-8x-12>=0	$- x^{2} - 8 x - 12 \geq 0$
186352	Solve for h	rs+h^2=l	$r s + h^{2} = l$
186353	Solve for y	x = cube root of y	$x = \sqrt[3]{y}$
186354	Find the Domain and Range	y = square root of x^2	$y = \sqrt{x^{2}}$
186355	Subtract	subtract 7x+2 from -5x^2-2x	subtract $7 x + 2$ from $- 5 x^{2} - 2 x$
186356	Graph	x+Y=4 x+Y=2	$x + Y = 4$ $x + Y = 2$
186357	Simplify	((9)^-4)/((-3)^-8)	$\frac{{(9)}^{- 4}}{{(- 3)}^{- 8}}$
186358	Find f(g(x))	f(x)=x-2 g(x)=2x^2-5x+8	$f (x) = x - 2$ $g (x) = 2 x^{2} - 5 x + 8$
186359	Solve for w	15w^2+28w+3=-2	$15 w^{2} + 28 w + 3 = - 2$
186360	Evaluate	5n+6+(-7n)	$5 n + 6 + (- 7 n)$
186361	Solve for z	(2z-4)/5=(3z+3)/10	$\frac{2 z - 4}{5} = \frac{3 z + 3}{10}$
186362	Simplify	7-3+6+x	$7 - 3 + 6 + x$
186363	Solve Using the Quadratic Formula	x^2+9x-1=3x-10	$x^{2} + 9 x - 1 = 3 x - 10$
186364	Simplify	(t^4-t^2+t)-(12-9t^2-7t)	$(t^{4} - t^{2} + t) - (12 - 9 t^{2} - 7 t)$
186365	Solve for P	K=PRT	$K = P R T$
186366	Describe the Transformation	1/3f(x)	$\frac{1}{3} f (x)$
186367	Solve for B	A=2/9(B+C)	$A = \frac{2}{9} (B + C)$
186368	Simplify	3 square root of 10+7 square root of 15-6 square root of 10-4 square root of 15	$3 \sqrt{10} + 7 \sqrt{15} - 6 \sqrt{10} - 4 \sqrt{15}$
186369	Solve for t	3(t^2-9)^2+16(t^2-9)=-5	$3 {(t^{2} - 9)}^{2} + 16 (t^{2} - 9) = - 5$
186370	Simplify	(7x^3-9x^2-14x)-(4x^3-4-x)	$(7 x^{3} - 9 x^{2} - 14 x) - (4 x^{3} - 4 - x)$
186371	Solve the Inequality for x	3x^2-x-2>0	$3 x^{2} - x - 2 > 0$
186372	Graph	Graph y=2/3x-4	Graph $y = \frac{2}{3} x - 4$
186373	Solve for x	9x^2-35=14	$9 x^{2} - 35 = 14$
186374	Graph	2x+y=3 x+3y=1	$2 x + y = 3$ $x + 3 y = 1$
186375	Factor	ab-a^3b^3	$a b - a^{3} b^{3}$
186376	Write in Standard Form	2(3x+5)=x^2	$2 (3 x + 5) = x^{2}$
186377	Simplify	4m^(x-2)-10m^(x-2)+3m^(x-2)	$4 m^{x - 2} - 10 m^{x - 2} + 3 m^{x - 2}$
186378	Solve for x	(5x)/(x+2)-2/(x^2+2x)=-9/(x+2)	$\frac{5 x}{x + 2} - \frac{2}{x^{2} + 2 x} = - \frac{9}{x + 2}$
186379	Graph	f^-1(x)=x-1	$f^{- 1} (x) = x - 1$
186380	Find the x and y Intercepts	f(x)=(x^2+4x)/(x^2+3x-4)	$f (x) = \frac{x^{2} + 4 x}{x^{2} + 3 x - 4}$
186381	Solve the Absolute Value Inequality for k	\|1-3/4k\|>=7	$\| 1 - \frac{3}{4} k \| \geq 7$
186382	Solve Using the Quadratic Formula	x^2=-3x	$x^{2} = - 3 x$
186383	Factor	25x^2-(x+2y+4z)^2	$25 x^{2} - {(x + 2 y + 4 z)}^{2}$
186384	Solve for y	x=1/(y+2)	$x = \frac{1}{y + 2}$
186385	Simplify	(3/x-x/3)/(x/3+1)	$\frac{\frac{3}{x} - \frac{x}{3}}{\frac{x}{3} + 1}$
186386	Solve for w	5w+8-w=6w-2(w-4)	$5 w + 8 - w = 6 w - 2 (w - 4)$
186387	Find the Inverse	f(x)=((x+9)^(1/5))/8	$f (x) = \frac{{(x + 9)}^{\frac{1}{5}}}{8}$
186388	Solve for x	12+1/5(10x+5)=59	$12 + \frac{1}{5} (10 x + 5) = 59$
186389	Factor	x^2-(y-z)^2	$x^{2} - {(y - z)}^{2}$
186390	Evaluate	(1-1/2)(1-1/3)(1-1/4)(1-1/5)	$(1 - \frac{1}{2}) (1 - \frac{1}{3}) (1 - \frac{1}{4}) (1 - \frac{1}{5})$
186391	Solve for z	(3z-2)^(2/5)=(8z)^(1/5)	${(3 z - 2)}^{\frac{2}{5}} = {(8 z)}^{\frac{1}{5}}$
186392	Find the x and y Intercepts	f(x)=(2x-2)/(2x^2+3x-9)	$f (x) = \frac{2 x - 2}{2 x^{2} + 3 x - 9}$
186393	Solve for d	\|-7d-8\|=9d+3	$\| - 7 d - 8 \| = 9 d + 3$
186394	Find the Equation Using Point-Slope Formula	(-8,-1) and (-6,5)	$(- 8, - 1)$ and $(- 6, 5)$
186395	Solve for y	x+1+2yi=3-6i	$x + 1 + 2 y i = 3 - 6 i$
186396	Simplify	(11x^2+2-5x)-(3+2x^2-5x)	$(11 x^{2} + 2 - 5 x) - (3 + 2 x^{2} - 5 x)$
186397	Simplify	((x^2)^35x)/(6x^215x^3)	$\frac{{(x^{2})}^{3} \cdot 5 x}{6 x^{2} \cdot 15 x^{3}}$
186398	Simplify	(-3 square root of -81)(-5+ square root of -9)+9i	$(- 3 \sqrt{- 81}) (- 5 + \sqrt{- 9}) + 9 i$
186399	Simplify	(2x)/(x-1)+x/(x-1)	$\frac{2 x}{x - 1} + \frac{x}{x - 1}$
186400	Simplify	log of 9x^5+5 log of 1/x	$\log (9 x^{5}) + 5 \log (\frac{1}{x})$