Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
182201	Solve for a	(x^5)^(1/2)=x^a	${(x^{5})}^{\frac{1}{2}} = x^{a}$
182202	Solve for x	2(x+2)^2-4=28	$2 {(x + 2)}^{2} - 4 = 28$
182203	Factor	-2x^3-4x^2+2x+4	$- 2 x^{3} - 4 x^{2} + 2 x + 4$
182204	Solve for q	-75q+25q-12q+52q+35=-85	$- 75 q + 25 q - 12 q + 52 q + 35 = - 85$
182205	Simplify	( cube root of x^2)^2	${(\sqrt[3]{x^{2}})}^{2}$
182206	Simplify	(7a)(3ab)-4a^2b	$(7 a) (3 a b) - 4 a^{2} b$
182207	Simplify	(x^2-13x-36)/(36-x^2)	$\frac{x^{2} - 13 x - 36}{36 - x^{2}}$
182208	Simplify	(12(xy^2)^2)/(4xy^2)	$\frac{12 {(x y^{2})}^{2}}{4 x y^{2}}$
182209	Divide	4x^8-10x^6-5x^4 entre 2x^3	$4 x^{8} - 10 x^{6} - 5 x^{4}$ entre $2 x^{3}$
182210	Evaluate	(8-(4-2)-(7-9))*9	$(8 - (4 - 2) - (7 - 9)) \cdot 9$
182211	Solve the Inequality for x	2x+8<5x-4	$2 x + 8 < 5 x - 4$
182212	Simplify	(4x^4y^3)/(-8x^2y)	$\frac{4 x^{4} y^{3}}{- 8 x^{2} y}$
182213	Simplify	((3m^-5n^2)/(4m^-2n^0))^2*((mn^4)/(9n))^2	${(\frac{3 m^{- 5} n^{2}}{4 m^{- 2} n^{0}})}^{2} \cdot {(\frac{m n^{4}}{9 n})}^{2}$
182214	Evaluate	(12 square root of x)/(4x^3)	$\frac{12 \sqrt{x}}{4 x^{3}}$
182215	Find the Holes in the Graph	f(x)=(3x^2-28x-20)/(2x+16)	$f (x) = \frac{3 x^{2} - 28 x - 20}{2 x + 16}$
182216	Solve for x	3/x-4=-3	$\frac{3}{x} - 4 = - 3$
182217	Solve the Inequality for x	x^2-x-4<=2	$x^{2} - x - 4 \leq 2$
182218	Multiply	-1/3*-5	$- \frac{1}{3} \cdot - 5$
182219	Solve for x	S=bx-bc+cx	$S = b x - b c + c x$
182220	Solve for x	-7(x+3)=-2(x+3)-5x	$- 7 (x + 3) = - 2 (x + 3) - 5 x$
182221	Evaluate	(-3+- square root of (3)^2+4(10)(2))/(2(10))	$\frac{- 3 + - \sqrt{{(3)}^{2} + 4 (10) (2)}}{2 (10)}$
182222	Solve for a	-5=9a^2+46a	$- 5 = 9 a^{2} + 46 a$
182223	Simplify	(6x^2-384)/(x^4-15x^3+56x^2)*(x^4-8x^3+7x^2)/(x^2+7x-8)	$\frac{6 x^{2} - 384}{x^{4} - 15 x^{3} + 56 x^{2}} \cdot \frac{x^{4} - 8 x^{3} + 7 x^{2}}{x^{2} + 7 x - 8}$
182224	Divide	m^2-11m+30 entre m-6	$m^{2} - 11 m + 30$ entre $m - 6$
182225	Simplify	((x^2)/5-5)/(1/25+1/(5x))	$\frac{\frac{x^{2}}{5} - 5}{\frac{1}{25} + \frac{1}{5 x}}$
182226	Evaluate	-5/9+(-7/12)	$- \frac{5}{9} + (- \frac{7}{12})$
182227	Solve for x	5*2^x=5/16	$5 \cdot 2^{x} = \frac{5}{16}$
182228	Graph	y>=-x-2 y>1/2x+7	$y \geq - x - 2$ $y > \frac{1}{2} x + 7$
182229	Write in Standard Form	13i-(14-7i)	$13 i - (14 - 7 i)$
182230	Simplify	6/( square root of 3+2)	$\frac{6}{\sqrt{3} + 2}$
182231	Describe the Transformation	f(x)=4+\|x\|	$f (x) = 4 + \| x \|$
182232	Solve the System of Equations	-x+y+3z=3 x+2y-z=0 3x+2y-5z=-2	$- x + y + 3 z = 3$ $x + 2 y - z = 0$ $3 x + 2 y - 5 z = - 2$
182233	Simplify	cube root of 1/4	$\sqrt[3]{\frac{1}{4}}$
182234	Graph	f(x)=2x+6 if x<=-4; x-3 if x>-1	$f (x) = {\begin{cases} 2 x + 6 & x \leq - 4 \\ x - 3 & x > - 1 \end{cases}$
182235	Graph	y<\|3x\|+1	$y < \| 3 x \| + 1$
182236	Solve for x	fourth root of 4x-13=-15	$\sqrt[4]{4 x} - 13 = - 15$
182237	Simplify	(8c^3d^2)/(4cd^2)	$\frac{8 c^{3} d^{2}}{4 c d^{2}}$
182238	Solve the Rational Equation for x	((x+3)(x-2))/((x+2)(x-1))>=0	$\frac{(x + 3) (x - 2)}{(x + 2) (x - 1)} \geq 0$
182239	Simplify	(u-4v)/(24u^3)-(4v)/(24u^3)	$\frac{u - 4 v}{24 u^{3}} - \frac{4 v}{24 u^{3}}$
182240	Simplify	7+(5-9)^2+3(16÷8)	$7 + {(5 - 9)}^{2} + 3 (16 \div 8)$
182241	Simplify	x/(x+1)-(x+1)/x	$\frac{x}{x + 1} - \frac{x + 1}{x}$
182242	Simplify	((4^3)/y)^3	${(\frac{4^{3}}{y})}^{3}$
182243	Solve for x	2^(2x-3)=1	$2^{2 x - 3} = 1$
182244	Simplify	(-9/2t+3)+(7/4t+33)	$(- \frac{9}{2} t + 3) + (\frac{7}{4} t + 33)$
182245	Solve for x	x=5+ square root of x+1	$x = 5 + \sqrt{x + 1}$
182246	Solve for n	27pi=pin	$27 π = π n$
182247	Solve the System of Equations	2x+3y=-5 5x-y=-12	$2 x + 3 y = - 5$ $5 x - y = - 12$
182248	Simplify	x/(x^2+x-12)	$\frac{x}{x^{2} + x - 12}$
182249	Find the Sum and Product of the Roots of the Quadratic Equation	x^2+12x+20=0	$x^{2} + 12 x + 20 = 0$
182250	Find the Holes in the Graph	f(x)=(x-5)/(3x^2-17x-28)	$f (x) = \frac{x - 5}{3 x^{2} - 17 x - 28}$
182251	Subtract	3 3/8-2.7	$3 \frac{3}{8} - 2.7$
182252	Simplify	3y+5y-7y+x	$3 y + 5 y - 7 y + x$
182253	Find the Exact Value	(x+5)^2	${(x + 5)}^{2}$
182254	Find the x and y Intercepts	y=1/2*4^x	$y = \frac{1}{2} \cdot 4^{x}$
182255	Simplify	f(x)=(1/x-1)/(1-1/(1+1/(x-1)))	$f (x) = \frac{\frac{1}{x} - 1}{1 - \frac{1}{1 + \frac{1}{x - 1}}}$
182256	Find g(f(x))	f(x)=2x+3 g(x)=x^2-3x+1	$f (x) = 2 x + 3$ $g (x) = x^{2} - 3 x + 1$
182257	Graph	f(x)=x^2-1 if x<=1; 3x-3 if x>1	$f (x) = {\begin{cases} x^{2} - 1 & x \leq 1 \\ 3 x - 3 & x > 1 \end{cases}$
182258	Solve the Inequality for x	(x+7)/(x-3)>0	$\frac{x + 7}{x - 3} > 0$
182259	Find the Excluded Values	(2m)/(2m+3)-(2m)/(2m-3)=1	$\frac{2 m}{2 m + 3} - \frac{2 m}{2 m - 3} = 1$
182260	Graph	y<-1/2x+4 y<x+1	$y < - \frac{1}{2} x + 4$ $y < x + 1$
182261	Find the Domain and Range	f(x)=4x^-2	$f (x) = 4 x^{- 2}$
182262	Solve the System of Inequalities	-1/2<=(4-3x)/5<=1/4	$- \frac{1}{2} \leq \frac{4 - 3 x}{5} \leq \frac{1}{4}$
182263	Graph	y=(1/5)^x=5^(-x) , [-2,2]	$y = {(\frac{1}{5})}^{x} = 5^{- x}$ , $[- 2, 2]$
182264	Find the LCD	12/(2x^2+14x+20) and 11/(x^2+6x+5)	$\frac{12}{2 x^{2} + 14 x + 20}$ and $\frac{11}{x^{2} + 6 x + 5}$
182265	Solve for p	7\|5p-7\|=-21	$7 \| 5 p - 7 \| = - 21$
182266	Solve for x	e^x+1=2	$e^{x} + 1 = 2$
182267	Subtract	4/5-1/3-1/15	$\frac{4}{5} - \frac{1}{3} - \frac{1}{15}$
182268	Graph	f(x)=1/3 log of 5x	$f (x) = \frac{1}{3} \log (5 x)$
182269	Simplify	-3 sixth root of 3-2 sixth root of 192- sixth root of 320	$- 3 \sqrt[6]{3} - 2 \sqrt[6]{192} - \sqrt[6]{320}$
182270	Solve for a	(x^2)^(2/3)=x^a	${(x^{2})}^{\frac{2}{3}} = x^{a}$
182271	Solve for x	4 fifth root of (2x-4)^2=16	$4 \sqrt[5]{{(2 x - 4)}^{2}} = 16$
182272	Simplify	square root of (x^2-1)+1	$\sqrt{(x^{2} - 1) + 1}$
182273	Graph	y>-2x-5 y<x+4	$y > - 2 x - 5$ $y < x + 4$
182274	Solve for x	(x+y)^2=x^2+y^2	${(x + y)}^{2} = x^{2} + y^{2}$
182275	Solve for a	9ax+9b-6=21	$9 a x + 9 b - 6 = 21$
182276	Simplify	square root of 8x^3* square root of 2xy^2	$\sqrt{8 x^{3}} \cdot \sqrt{2 x y^{2}}$
182277	Find g(f(x))	f(x)=-x-4 g(x)=-x^2-3x-1	$f (x) = - x - 4$ $g (x) = - x^{2} - 3 x - 1$
182278	Find g(f(x))	f(x)=3x^2+4x-7 g(x)=2x-11	$f (x) = 3 x^{2} + 4 x - 7$ $g (x) = 2 x - 11$
182279	Solve the Inequality for x	2.9(x+8)<26.1	$2.9 (x + 8) < 26.1$
182280	Find the x and y Intercepts	f(x)=(3x+30)/(x^2-4x+3)	$f (x) = \frac{3 x + 30}{x^{2} - 4 x + 3}$
182281	Graph	y<=-1/2(x+3)^2+4	$y \leq - \frac{1}{2} {(x + 3)}^{2} + 4$
182282	Graph	A intersect (B union C)	$A \cap (B \cup C)$
182283	Evaluate	-pi+2pi	$- π + 2 π$
182284	Solve for x	square root of x+3 = square root of 1-x	$\sqrt{x + 3} = \sqrt{1 - x}$
182285	Evaluate	1/2(5/6)^2-2/9	$\frac{1}{2} {(\frac{5}{6})}^{2} - \frac{2}{9}$
182286	Find g(h(x))	g(x)=3-x^2 h(x)=4-3x	$g (x) = 3 - x^{2}$ $h (x) = 4 - 3 x$
182287	Multiply	(5-2x^4)(5+2x^4)	$(5 - 2 x^{4}) (5 + 2 x^{4})$
182288	Simplify	9a^3b^2c-5a^2bc^2-12a^3b^2c+3a^2bc^2+4a^3b^2c	$9 a^{3} b^{2} c - 5 a^{2} b c^{2} - 12 a^{3} b^{2} c + 3 a^{2} b c^{2} + 4 a^{3} b^{2} c$
182289	Simplify	(4-1/k)/(8/k-2/(k^2))	$\frac{4 - \frac{1}{k}}{\frac{8}{k} - \frac{2}{k^{2}}}$
182290	Solve for C	A=3/5(B+C)	$A = \frac{3}{5} (B + C)$
182291	Simplify	3^-1+2^-1	$3^{- 1} + 2^{- 1}$
182292	Simplify	8/(9^0)	$\frac{8}{9^{0}}$
182293	Find the Domain and Range	f^-1(x)=e^x+3	$f^{- 1} (x) = e^{x} + 3$
182294	Factor by Grouping	3x^3+24	$3 x^{3} + 24$
182295	Solve the Absolute Value Inequality for x	3+4\|3x+7\|>=-89	$3 + 4 \| 3 x + 7 \| \geq - 89$
182296	Evaluate Using the Given Value	Evaluate (m^2-3n^2k)/(m^3+2) ; if k=1/3 , n=-1 , m=4	Evaluate $\frac{m^{2} - 3 n^{2} k}{m^{3} + 2}$ ; if $k = \frac{1}{3}$ , $n = - 1$ , $m = 4$
182297	Solve for x	y = natural log of x+ square root of x^2+1	$y = \ln (x + \sqrt{x^{2} + 1})$
182298	Solve for w	6(w+1)-10=4(w-1)+2w	$6 (w + 1) - 10 = 4 (w - 1) + 2 w$
182299	Evaluate	(tan(theta)^2csc(theta)^2-1)/(sec(theta)^2)	$\frac{\tan^{2} (θ) \csc^{2} (θ) - 1}{\sec^{2} (θ)}$
182300	Find the x and y Intercepts	f(x)=2(x^2+4)	$f (x) = 2 (x^{2} + 4)$