Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
225901	Solve for x	0=x^2-20	$0 = x^{2} - 20$
225902	Evaluate	-14x>-3	$- 14 x > - 3$
225903	Solve for x	10^((2x)/3)=15	$10^{\frac{2 x}{3}} = 15$
225904	Solve for x	4-x^2=8/3	$4 - x^{2} = \frac{8}{3}$
225905	Solve for x	(x+3)/(x-3)+(x-3)/(x+3)=3 1/3	$\frac{x + 3}{x - 3} + \frac{x - 3}{x + 3} = 3 \frac{1}{3}$
225906	Simplify	x^2+x(x-5)^2	$x^{2} + x {(x - 5)}^{2}$
225907	Evaluate	(2(x+9))/3=(3(x+8))/5+88	$\frac{2 (x + 9)}{3} = \frac{3 (x + 8)}{5} + 88$
225908	Solve for a	10+ square root of a+7=11	$10 + \sqrt{a + 7} = 11$
225909	Solve for x	7x^5=-84	$7 x^{5} = - 84$
225910	Find All Complex Solutions	square root of 3x+14=2	$\sqrt{3 x} + 14 = 2$
225911	Simplify	4^x+4^x+4^x+4^x	$4^{x} + 4^{x} + 4^{x} + 4^{x}$
225912	Graph	-f(x)=x/(x^2+1)	$- f (x) = \frac{x}{x^{2} + 1}$
225913	Find the Domain and Range	(x^2)/(x^2-4)	$\frac{x^{2}}{x^{2} - 4}$
225914	Solve the System of Inequalities	p+4<=1 or p-1>=1	$p + 4 \leq 1$ or $p - 1 \geq 1$
225915	Simplify	(5/(9x^2))÷(10/(3x))	$\frac{5}{9 x^{2}} \div \frac{10}{3 x}$
225916	Solve for w	3 = square root of 35-2w	$3 = \sqrt{35 - 2 w}$
225917	Describe the Transformation	y = cube root of x+4	$y = \sqrt[3]{x + 4}$
225918	Multiply	(a-b)(x+y)	$(a - b) (x + y)$
225919	Graph	G(x)=1/(x-5)+2	$G (x) = \frac{1}{x - 5} + 2$
225920	Solve the Inequality for m	1/3m<-21	$\frac{1}{3} m < - 21$
225921	Solve the Inequality for y	-y/3<=1.4	$- \frac{y}{3} \leq 1.4$
225922	Evaluate	i^18i^28i^9*i^29	$i^{18} \cdot i^{28} \cdot i^{9} \cdot i^{29}$
225923	Solve for x	(x-3)/x=-8/(x+3)	$\frac{x - 3}{x} = \frac{- 8}{x + 3}$
225924	Solve the Inequality for x	3(x-4)+4x<7x+2	$3 (x - 4) + 4 x < 7 x + 2$
225925	Simplify	-2^3*0.3^0	$- 2^{3} \cdot {0.3}^{0}$
225926	Solve for r	4r^2-13r+6=0	$4 r^{2} - 13 r + 6 = 0$
225927	Solve for x	log base 9 of 10/(2x) = log base 9 of 2x-3	$\log_{9} (\frac{10}{2 x}) = \log_{9} (2 x - 3)$
225928	Solve for h	-15+3h=30h-6	$- 15 + 3 h = 30 h - 6$
225929	Find the Excluded Values	1-3/(x-1)=-6/(x^2-1)	$1 - \frac{3}{x - 1} = - \frac{6}{x^{2} - 1}$
225930	Find the Roots (Zeros)	y=2sin(x-pi/2)	$y = 2 \sin (x - \frac{π}{2})$
225931	Solve for x	4^2=8^2+10^2-2810*x	$4^{2} = 8^{2} + 10^{2} - 2 \cdot 8 \cdot 10 \cdot x$
225932	Divide	(2i)/(3-9i)	$\frac{2 i}{3 - 9 i}$
225933	Simplify	cube root of 6* fourth root of 9	$\sqrt[3]{6} \cdot \sqrt[4]{9}$
225934	Solve the Rational Equation for x	3/x=10/(4x)-2	$\frac{3}{x} = \frac{10}{4 x} - 2$
225935	Simplify	(12-8)^3-2*7+ square root of 36	${(12 - 8)}^{3} - 2 \times 7 + \sqrt{36}$
225936	Simplify	i(-6i)^2	$i {(- 6 i)}^{2}$
225937	Solve by Factoring	5/8e-2=4+1/4e-3/4e	$\frac{5}{8} e - 2 = 4 + \frac{1}{4} e - \frac{3}{4} e$
225938	Simplify	(1/(x-1))/(1+1/(x-1))	$\frac{\frac{1}{x - 1}}{1 + \frac{1}{x - 1}}$
225939	Solve the Inequality for x	-5<=3-2x<11	$- 5 \leq 3 - 2 x < 11$
225940	Evaluate	2 cube root of x-5>=3	$2 \sqrt[3]{x} - 5 \geq 3$
225941	Simplify	((c^2-4c+4)/(12c^3+30c^2))÷((c^2-4)/(6c^4+15c^3))	$\frac{c^{2} - 4 c + 4}{12 c^{3} + 30 c^{2}} \div \frac{c^{2} - 4}{6 c^{4} + 15 c^{3}}$
225942	Solve for p	log base p of 4096=3	$\log_{p} (4096) = 3$
225943	Simplify	(7+3y)(3y-7)	$(7 + 3 y) (3 y - 7)$
225944	Find the Exact Value	sin(pi)-cos(pi)	$\sin (π) - \cos (π)$
225945	Write with Rational (Fractional) Exponents	sixth root of 2* square root of 2^5	$\sqrt[6]{2} \cdot \sqrt{2^{5}}$
225946	Solve for x	1/(2x+1)=3x+4	$\frac{1}{2 x + 1} = 3 x + 4$
225947	Simplify	(-3e^(2/4))(f^(6/5))(-5^0)	$(- 3 e^{\frac{2}{4}}) (f^{\frac{6}{5}}) (- 5^{0})$
225948	Convert to a Decimal	-600deg	$- 600$ degrees
225949	Evaluate	(8÷(1/4))-8	$(8 \div \frac{1}{4}) - 8$
225950	Simplify	cube root of square root of 729/(x^6)	$\sqrt[3]{\sqrt{\frac{729}{x^{6}}}}$
225951	Solve the System of Equations	-4x-2y=30 and -x+y=6	$- 4 x - 2 y = 30$ and $- x + y = 6$
225952	Solve the System of Inequalities	y<3x+2 and 2y>=6x-4	$y < 3 x + 2$ and $2 y \geq 6 x - 4$
225953	Graph	y<=-7/8x-6 x<-8	$y \leq - \frac{7}{8} x - 6$ $x < - 8$
225954	Solve for n	10+n^3=-115	$10 + n^{3} = - 115$
225955	Evaluate	(arcsec(-1))*(arccos(-1))	$(arcsec (- 1)) \cdot (\arccos (- 1))$
225956	Simplify/Condense	1/3( log of x+ log of y)-4 log of z	$\frac{1}{3} (\log (x) + \log (y)) - 4 \log (z)$
225957	Simplify the Radical Expression	3 square root of b^3	$3 \sqrt{b^{3}}$
225958	Simplify	3^-1*(3^0)^3	$3^{- 1} \cdot {(3^{0})}^{3}$
225959	Graph Using a Table of Values	y=1/2tan(2x)	$y = \frac{1}{2} \tan (2 x)$
225960	Subtract	-4b^2+6b-9-7b^2-2b-5	$- 4 b^{2} + 6 b - 9 - 7 b^{2} - 2 b - 5$
225961	Solve for A	A=(a+b)/2h	$A = \frac{(a + b)}{2} h$
225962	Solve by Factoring	k(k-4)=-3	$k (k - 4) = - 3$
225963	Divide Using Long Polynomial Division	6x^3+23x^2+15x+28 divided by 2x+7	$6 x^{3} + 23 x^{2} + 15 x + 28$ divided by $2 x + 7$
225964	Factor by Grouping	(x^2+6x)^2+(x^2+6x)-56	${(x^{2} + 6 x)}^{2} + (x^{2} + 6 x) - 56$
225965	Combine Like Terms	-17+2(6x-1)+5	$- 17 + 2 (6 x - 1) + 5$
225966	Convert to Radical Form	x^(4/2)	$x^{\frac{4}{2}}$
225967	Solve the Inequality for x	square root of (x-1)^2=1-x	$\sqrt{{(x - 1)}^{2}} = 1 - x$
225968	Divide	(4x^3-3x^2)/(2x)	$\frac{4 x^{3} - 3 x^{2}}{2 x}$
225969	Evaluate	1/(1/18-1/21)	$\frac{1}{\frac{1}{18} - \frac{1}{21}}$
225970	Solve for x	g(x)=7x^2-567	$g (x) = 7 x^{2} - 567$
225971	Solve for x	e^(3-x)=(e^3)^(-x)	$e^{3 - x} = {(e^{3})}^{- x}$
225972	Solve the Inequality for x	2/3+x/3>1	$\frac{2}{3} + \frac{x}{3} > 1$
225973	Solve for v	10+v=17+10	$10 + v = 17 + 10$
225974	Multiply	-3v(-8u^2-8uv-7v^2)	$- 3 v (- 8 u^{2} - 8 u v - 7 v^{2})$
225975	Write in Standard Form	3/(2i-5)	$\frac{3}{2 i - 5}$
225976	Find the Inverse	f(x)=-(2x)/(x-1)	$f (x) = - \frac{2 x}{x - 1}$
225977	Solve for x	x^4=5x^3-7x^2	$x^{4} = 5 x^{3} - 7 x^{2}$
225978	Write the Fraction in Simplest Form	((2y^-5n^4)^-3)/(6y^7n^-5)	$\frac{{(2 y^{- 5} n^{4})}^{- 3}}{6 y^{7} n^{- 5}}$
225979	Simplify	square root of -64-4 cube root of -125+ square root of 8	$\sqrt{- 64} - 4 \sqrt[3]{- 125} + \sqrt{8}$
225980	Divide Using Long Polynomial Division	Use the long division method to find the result when 2x^3+9x^2+23x+21 is divided by 2x+3	Use the long division method to find the result when $2 x^{3} + 9 x^{2} + 23 x + 21$ is divided by $2 x + 3$
225981	Simplify	6*( square root of 3)/2	$6 \cdot \frac{\sqrt{3}}{2}$
225982	Solve for c	13^(c-8)-9=17	$13^{c - 8} - 9 = 17$
225983	Solve for x	(1/12)^(-2x)*12^(-2x+2)=12	${(\frac{1}{12})}^{- 2 x} \cdot 12^{- 2 x + 2} = 12$
225984	Solve for d	f=d/(e-d)	$f = \frac{d}{e - d}$
225985	Find the Distance Between Two Points	(-10,7) and (2,5)	$(- 10, 7)$ and $(2, 5)$
225986	Factor	x^4-25x^2+3x^3-75x+2x^2-50	$x^{4} - 25 x^{2} + 3 x^{3} - 75 x + 2 x^{2} - 50$
225987	Write in Slope-Intercept Form	x-y<=0	$x - y \leq 0$
225988	Solve for w	-4/(2w+12)+3=-2/(w+6)	$- \frac{4}{2 w + 12} + 3 = - \frac{2}{w + 6}$
225989	Simplify	(4x)(9x^(1/2))	$(4 x) (9 x^{\frac{1}{2}})$
225990	Graph	-y+x>-2	$- y + x > - 2$
225991	Solve Using the Quadratic Formula	f(x)=-3x^2+9x	$f (x) = - 3 x^{2} + 9 x$
225992	Solve by Factoring	x^2+24x+100=-46	$x^{2} + 24 x + 100 = - 46$
225993	Simplify	square root of cos(x)cos(300x)+ square root of \|x\|-9.3*(-4x^2)^0.01	$\sqrt{\cos (x)} \cdot \cos (300 \cdot x) + \sqrt{\| x \|} - 9.3 \cdot {(- 4 x^{2})}^{0.01}$
225994	Find the Exact Value	tan(-630)	$\tan (- 630)$
225995	Simplify the Radical Expression	square root of (25x^9y^3)/(64x^6y^11)	$\sqrt{\frac{25 x^{9} y^{3}}{64 x^{6} y^{11}}}$
225996	Evaluate	fourth root of 2s+10=4	$\sqrt[4]{2 s + 10} = 4$
225997	Simplify	x(x-x^2y)	$x (x - x^{2} y)$
225998	Convert to a Simplified Fraction	60% as a fraction	$60 %$ as a fraction
225999	Describe the Transformation	y=3(2^(x-1))+1	$y = 3 (2^{x - 1}) + 1$
226000	Solve for x	4(3x+6)=5(2+x)	$4 (3 x + 6) = 5 (2 + x)$