Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
174501	Find the Complex Conjugate	square root of -9	$\sqrt{- 9}$
174502	Simplify	(3-i)/(3+i)	$\frac{3 - i}{3 + i}$
174503	Graph	f(x)=(x+3)(x-k)	$f (x) = (x + 3) (x - k)$
174504	Solve the System of Inequalities	34<-3x+10 or 22<=-3x+10	$34 < - 3 x + 10$ or $22 \leq - 3 x + 10$
174505	Solve for x	3(3x-2)=(x+4)(4-x)	$3 (3 x - 2) = (x + 4) (4 - x)$
174506	Graph	y=-1/2x-2 y=-3/2x+2	$y = - \frac{1}{2} x - 2$ $y = - \frac{3}{2} x + 2$
174507	Evaluate	2*(-2^2)	$2 \cdot (- 2^{2})$
174508	Solve the Absolute Value Inequality for v	2/3\|4v+6\|-2<=10	$\frac{2}{3} \| 4 v + 6 \| - 2 \leq 10$
174509	Solve for x	3x+2x+6=-15	$3 x + 2 x + 6 = - 15$
174510	Solve for x	2^(x^2+2x)=1/2	$2^{x^{2} + 2 x} = \frac{1}{2}$
174511	Simplify	x^(-2/3)*x^(6/7)	$x^{- \frac{2}{3}} \cdot x^{\frac{6}{7}}$
174512	Simplify	(4f^9h^3)(-5f^6)(-3h^2)	$(4 f^{9} h^{3}) (- 5 f^{6}) (- 3 h^{2})$
174513	Find All Complex Solutions	2sin(theta)^2+ square root of 3sin(theta)=0	$2 \sin^{2} (θ) + \sqrt{3} \sin (θ) = 0$
174514	Solve for w	4/3\|3w-6\|=16	$\frac{4}{3} \| 3 w - 6 \| = 16$
174515	Solve the System of Inequalities	-1<=(4-a)/3<=5	$- 1 \leq \frac{4 - a}{3} \leq 5$
174516	Solve for x	7x+30=x+6(x+5)	$7 x + 30 = x + 6 (x + 5)$
174517	Solve for t	Q=R+rst for t	$Q = R + r s t$ for $t$
174518	Simplify	(9-12x+4x^2)/(27-8x^3)	$\frac{9 - 12 x + 4 x^{2}}{27 - 8 x^{3}}$
174519	Simplify	(128x^3z^3)/(46xy^2z)	$\frac{128 x^{3} z^{3}}{46 x y^{2} z}$
174520	Solve for k	-4/3(9-2k)=1/2(1/3k+1)	$- \frac{4}{3} (9 - 2 k) = \frac{1}{2} (\frac{1}{3} k + 1)$
174521	Solve for k	\|-6k\|=30	$\| - 6 k \| = 30$
174522	Solve the Inequality for y	12>=15-6y	$12 \geq 15 - 6 y$
174523	Solve the Absolute Value Inequality for a	\|6a-5\|=4a	$\| 6 a - 5 \| = 4 a$
174524	Divide Using Synthetic Division	(4x^4+x^2)/(x-2)	$\frac{4 x^{4} + x^{2}}{x - 2}$
174525	Simplify	(3x^3+4x^2)+(3x^3-4x^2-9x)	$(3 x^{3} + 4 x^{2}) + (3 x^{3} - 4 x^{2} - 9 x)$
174526	Solve for x	5(x-5)-4=-1+(x+4)	$5 (x - 5) - 4 = - 1 + (x + 4)$
174527	Factor	(x-3y)^2-y^2	${(x - 3 y)}^{2} - y^{2}$
174528	Solve the System of Inequalities	37<3x+7 and 43>=3x+7	$37 < 3 x + 7$ and $43 \geq 3 x + 7$
174529	Solve for x	27^x-9^(x+0.5)-3^x+3=0	$27^{x} - 9^{x + 0.5} - 3^{x} + 3 = 0$
174530	Solve for h	S=pir^2+2pirh	$S = π r^{2} + 2 π r h$
174531	Solve for C	2/3(B-C)=A	$\frac{2}{3} (B - C) = A$
174532	Solve for p	2(3-p)-17=41	$2 (3 - p) - 17 = 41$
174533	Solve for w	w*0.5w+9z=2z+3w	$w \cdot 0.5 w + 9 z = 2 z + 3 w$
174534	Factor	x^2=2x+35	$x^{2} = 2 x + 35$
174535	Simplify	(6c^7u^-8)/((-3u^-2)^2)	$\frac{6 c^{7} u^{- 8}}{{(- 3 u^{- 2})}^{2}}$
174536	Solve the System of Inequalities	5x-5<5 and 5x-5<=20	$5 x - 5 < 5$ and $5 x - 5 \leq 20$
174537	Solve the Inequality for x	x^2<x	$x^{2} < x$
174538	Solve for c	4-1/2c=1/4(3-c)+1/8c	$4 - \frac{1}{2} c = \frac{1}{4} (3 - c) + \frac{1}{8} c$
174539	Graph	y<=x^2+2	$y \leq x^{2} + 2$
174540	Solve for a	7a+5(a+3)=8a+4(a+2)	$7 a + 5 (a + 3) = 8 a + 4 (a + 2)$
174541	Evaluate	2/(2^2+1)	$\frac{2}{2^{2} + 1}$
174542	Solve for r	A=4r^2	$A = 4 r^{2}$
174543	Convert to Interval Notation	3/4q-2/3q<5/12q-1/12	$\frac{3}{4} q - \frac{2}{3} q < \frac{5}{12} q - \frac{1}{12}$
174544	Solve the Inequality for n	809>-11+5/8n	$809 > - 11 + \frac{5}{8} n$
174545	Factor	ab-b^2	$a b - b^{2}$
174546	Simplify	(5/(x-3)-1/(x+3))/(3/(x^2-9))	$\frac{\frac{5}{x - 3} - \frac{1}{x + 3}}{\frac{3}{x^{2} - 9}}$
174547	Solve for x	x/(x-1)-1/(x-2)=(2x-5)/(x^2-3x+2)	$\frac{x}{x - 1} - \frac{1}{x - 2} = \frac{2 x - 5}{x^{2} - 3 x + 2}$
174548	Simplify	4+36÷((10-8)^2)*3+7	$4 + 36 \div {(10 - 8)}^{2} \cdot 3 + 7$
174549	Rationalize the Denominator	4/(3- square root of 7)	$\frac{4}{3 - \sqrt{7}}$
174550	Find the Exact Value	cos(135 degrees )^2-sin(135 degrees )^2	$\cos^{2} (135 °) - \sin^{2} (135 °)$
174551	Convert to Radical Form	((2xy)^(4/3))/((9x)^(4/3))	$\frac{{(2 x y)}^{\frac{4}{3}}}{{(9 x)}^{\frac{4}{3}}}$
174552	Rationalize the Denominator	2/( cube root of 2)	$\frac{2}{\sqrt[3]{2}}$
174553	Evaluate	(1/81)^(1/2)*(1/81)^(-3/4)	${(\frac{1}{81})}^{\frac{1}{2}} \cdot {(\frac{1}{81})}^{- \frac{3}{4}}$
174554	Solve for x	-(4+x)=3x	$- (4 + x) = 3 x$
174555	Simplify	((x^2y^2)/(y^2))^3	${(\frac{x^{2} y^{2}}{y^{2}})}^{3}$
174556	Simplify	(3q^2)/(-2(p^3q^-5)^-1)	$\frac{3 q^{2}}{- 2 {(p^{3} q^{- 5})}^{- 1}}$
174557	Simplify	((5s^3n^2)^-1)/(4s^3)	$\frac{{(5 s^{3} n^{2})}^{- 1}}{4 s^{3}}$
174558	Evaluate	f(x)=2^-4	$f (x) = 2^{- 4}$
174559	Solve for x	4(2.5)^(2x)=4	$4 {(2.5)}^{2 x} = 4$
174560	Solve for x	(1/3)^(x+2)=3^(x-1)	${(\frac{1}{3})}^{x + 2} = 3^{x - 1}$
174561	Graph	f(x)=x/2+1	$f (x) = \frac{x}{2} + 1$
174562	Solve for x	2x+2-3x+5=3+2	$2 x + 2 - 3 x + 5 = 3 + 2$
174563	Graph	[1,infinity)	$[1, \infty)$
174564	Simplify	(-3(w^4)^-1)/(5j^-6)	$\frac{- 3 {(w^{4})}^{- 1}}{5 j^{- 6}}$
174565	Solve for x	square root of x=2-x	$\sqrt{x} = 2 - x$
174566	Simplify the Radical Expression	1/3 cube root of 81	$\frac{1}{3} \sqrt[3]{81}$
174567	Find the Distance Between Two Points	(0,-3) and (4,1)	$(0, - 3)$ and $(4, 1)$
174568	Graph	y=-1/2(x+2)^2+4	$y = - \frac{1}{2} {(x + 2)}^{2} + 4$
174569	Convert to a Decimal	70deg	$70$ degrees
174570	Factor	49x^2y^2-9x^2	$49 x^{2} y^{2} - 9 x^{2}$
174571	Solve for x	cube root of 1-x=-1	$\sqrt[3]{1 - x} = - 1$
174572	Solve for x	x-(3x+7)/(x+4)=5/(x+4)	$x - \frac{3 x + 7}{x + 4} = \frac{5}{x + 4}$
174573	Solve for x	x-(2x+5)/(x-9)=7/(x-9)	$x - \frac{2 x + 5}{x - 9} = \frac{7}{x - 9}$
174574	Solve the Inequality for x	x^3>=3x^2	$x^{3} \geq 3 x^{2}$
174575	Find the Domain and Range	F(x)=(2x^2+7x+3)/(x+3)	$F (x) = \frac{2 x^{2} + 7 x + 3}{x + 3}$
174576	Find the Exact Value	1-1/4	$1 - \frac{1}{4}$
174577	Solve the System of Inequalities	7<=-x-1 or -x-1<=-12	$7 \leq - x - 1$ or $- x - 1 \leq - 12$
174578	Solve for x	x^2=2x-5	$x^{2} = 2 x - 5$
174579	Factor	(x+1)^(1/2)-1/3(x+1)^(3/2)	${(x + 1)}^{\frac{1}{2}} - \frac{1}{3} {(x + 1)}^{\frac{3}{2}}$
174580	Solve for y	2/5x+y=3	$\frac{2}{5} x + y = 3$
174581	Simplify	(3x-1)/(x+2)-(x-2)/(x-1)	$\frac{3 x - 1}{x + 2} - \frac{x - 2}{x - 1}$
174582	Solve for x	6-6x^2-3x=0	$6 - 6 x^{2} - 3 x = 0$
174583	Solve Using the Quadratic Formula	f(x)=x^2+2x+1	$f (x) = x^{2} + 2 x + 1$
174584	Solve for x	square root of 3x+15 = square root of x+9	$\sqrt{3 x + 15} = \sqrt{x + 9}$
174585	Solve for x	square root of 1-8x=5+ square root of 3x+9	$\sqrt{1 - 8 x} = 5 + \sqrt{3 x + 9}$
174586	Simplify	(4- square root of 3)/( square root of 5)	$\frac{4 - \sqrt{3}}{\sqrt{5}}$
174587	Simplify	(4x^2)/(2x-1)-1/(2x-1)	$\frac{4 x^{2}}{2 x - 1} - \frac{1}{2 x - 1}$
174588	Solve for r	rt=w	$r t = w$
174589	Simplify	1/4(c^3+d^2)	$\frac{1}{4} (c^{3} + d^{2})$
174590	Simplify	(x+2)-(x-2)-12x	$(x + 2) - (x - 2) - 12 x$
174591	Simplify	8y^2 square root of 12x^7y^5	$8 y^{2} \sqrt{12 x^{7} y^{5}}$
174592	Solve for y	12-8+y-3=21+4	$12 - 8 + y - 3 = 21 + 4$
174593	Solve the System of Inequalities	1/3<=(x+1)/4<4/5	$\frac{1}{3} \leq \frac{x + 1}{4} < \frac{4}{5}$
174594	Graph	(x-1)/(1-x)<0	$\frac{x - 1}{1 - x} < 0$
174595	Evaluate	-5/3-((((1/2)^3)÷(6/7))÷(3/4))÷((-1)^3)	$- \frac{5}{3} - {(\frac{1}{2})}^{3} \div \frac{6}{7} \div \frac{3}{4} \div {(- 1)}^{3}$
174596	Simplify	1/8(16m-8)-17	$\frac{1}{8} (16 m - 8) - 17$
174597	Evaluate	square root of (1+(-3/5))/2	$\sqrt{\frac{1 + (- \frac{3}{5})}{2}}$
174598	Write the Fraction in Simplest Form	(4a-1)/(1-4a)	$\frac{4 a - 1}{1 - 4 a}$
174599	Write in Standard Form	4+ square root of -9	$4 + \sqrt{- 9}$
174600	Simplify	(x^5y^2z^8)/((xy)^-3)	$\frac{x^{5} y^{2} z^{8}}{{(x y)}^{- 3}}$