Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
189901	Solve for x	log of x-2- log of 2x-3 = log of 2	$\log (x - 2) - \log (2 x - 3) = \log (2)$
189902	Simplify	5/(1/6+1/(x+1))	$\frac{5}{\frac{1}{6} + \frac{1}{x + 1}}$
189903	Find the Product	(2a^x+1/2b^x)^2	${(2 a^{x} + \frac{1}{2} b^{x})}^{2}$
189904	Find the x and y Intercepts	f(x)=e^x-1	$f (x) = e^{x} - 1$
189905	Find g(h(x))	g(x)=9+5/4x h(x)=10x-28	$g (x) = 9 + \frac{5}{4} x$ $h (x) = 10 x - 28$
189906	Simplify	(38x^2yz^2)/(-19xy^2z^3)	$\frac{38 x^{2} y z^{2}}{- 19 x y^{2} z^{3}}$
189907	Subtract	Subtract -5x^2+7x+1 from 8x^2+x-10	Subtract $- 5 x^{2} + 7 x + 1$ from $8 x^{2} + x - 10$
189908	Describe the Transformation	g(x)=f(1/3x)	$g (x) = f (\frac{1}{3} x)$
189909	Solve the System of Equations	y=x^2+2x-16 y=x+4	$y = x^{2} + 2 x - 16$ $y = x + 4$
189910	Simplify	(x^9(2x)^4)/(x^3)	$\frac{x^{9} {(2 x)}^{4}}{x^{3}}$
189911	Solve for θ	theta=arctan(1)	$θ = \arctan (1)$
189912	Convert to a Decimal	18deg	$18$ degrees
189913	Solve for z	9^(z-2)=38	$9^{z - 2} = 38$
189914	Write in Slope-Intercept Form	(3,-8) and (6,-4)	$(3, - 8)$ and $(6, - 4)$
189915	Simplify	(10- square root of 49+1)^2	${(10 - \sqrt{49} + 1)}^{2}$
189916	Convert to a Decimal	10rad	$10$ radians
189917	Find the Remainder	(x^4-3x^3+2x^2+x-5)/(x^2-3x+1)	$\frac{x^{4} - 3 x^{3} + 2 x^{2} + x - 5}{x^{2} - 3 x + 1}$
189918	Solve for v	-14+5/6v=1	$- 14 + \frac{5}{6} v = 1$
189919	Simplify	-8h-2(5+f^3)+7g^2	$- 8 h - 2 (5 + f^{3}) + 7 g^{2}$
189920	Simplify	-2x(x^3-6x^2+6)+4x^3-(5x^4+10x)	$- 2 x (x^{3} - 6 x^{2} + 6) + 4 x^{3} - (5 x^{4} + 10 x)$
189921	Identify the Zeros and Their Multiplicities	f(x)=(x-2)^2(3x+7)^3(4x-3)^2	$f (x) = {(x - 2)}^{2} {(3 x + 7)}^{3} {(4 x - 3)}^{2}$
189922	Solve the System of Equations	-3/4x+1/2y=-2 1/5x-1/4y=-6	$- \frac{3}{4} x + \frac{1}{2} y = - 2$ $\frac{1}{5} x - \frac{1}{4} y = - 6$
189923	Evaluate	1-1/(2.5^2)	$1 - \frac{1}{{2.5}^{2}}$
189924	Solve the Inequality for x	7^(3x+2)<=49^x	$7^{3 x + 2} \leq 49^{x}$
189925	Multiply	xxx*x	$x \cdot x \cdot x \cdot x$
189926	Solve for x	x/4-3=0	$\frac{x}{4} - 3 = 0$
189927	Solve the Inequality for x	\|4/7+2x\|<=2/5	$\| \frac{4}{7} + 2 x \| \leq \frac{2}{5}$
189928	Solve for x	3(2x+5)=3x+4x	$3 (2 x + 5) = 3 x + 4 x$
189929	Graph	f(-x)+3	$f (- x) + 3$
189930	Multiply	2/31/54	$\frac{2}{3} \cdot \frac{1}{5} \cdot 4$
189931	Solve for z	z/3<=3	$\frac{z}{3} \leq 3$
189932	Simplify	1/2 square root of 2- square root of 3	$\frac{1}{2} \sqrt{2 - \sqrt{3}}$
189933	Evaluate	(x^(1/3))^2	${(x^{\frac{1}{3}})}^{2}$
189934	Solve the Inequality for p	p+4-2(p-10)>0	$p + 4 - 2 (p - 10) > 0$
189935	Multiply	5/2*1	$\frac{5}{2} \cdot 1$
189936	Solve for n	1/4n-3/8=1/2	$\frac{1}{4} n - \frac{3}{8} = \frac{1}{2}$
189937	Solve for θ	sin(theta)^2-sin(theta)=0	$\sin^{2} (θ) - \sin (θ) = 0$
189938	Solve for x	16(1+3x)^2+11=36	$16 {(1 + 3 x)}^{2} + 11 = 36$
189939	Graph	-x<-x+7(x-2)	$- x < - x + 7 (x - 2)$
189940	Solve for θ	sin(theta)cos(3theta)+cos(theta)sin(3theta)=0	$\sin (θ) \cos (3 θ) + \cos (θ) \sin (3 θ) = 0$
189941	Solve the Inequality for x	6(x-2)>=-5+5x+6	$6 (x - 2) \geq - 5 + 5 x + 6$
189942	Solve the Inequality for x	x^2>=2x	$x^{2} \geq 2 x$
189943	Find the Distance Between Two Points	(-3,0) and (5,-3)	$(- 3, 0)$ and $(5, - 3)$
189944	Solve for x	-1/2(-x+8)=3x+1/2(-6x+1)	$- \frac{1}{2} (- x + 8) = 3 x + \frac{1}{2} (- 6 x + 1)$
189945	Solve for x	log base 7 of x^2+6- log base 7 of x+2=1	$\log_{7} (x^{2} + 6) - \log_{7} (x + 2) = 1$
189946	Solve for x	3x+9<0	$3 x + 9 < 0$
189947	Solve for a	60=a(0+5)(0+3)	$60 = a (0 + 5) (0 + 3)$
189948	Solve for x	-9/x=x/-9	$\frac{- 9}{x} = \frac{x}{- 9}$
189949	Solve the Inequality for x	21<=3+9x	$21 \leq 3 + 9 x$
189950	Find the Complex Conjugate	8- square root of 3	$8 - \sqrt{3}$
189951	Find the End Behavior	f(x)=-21x^4+141x^3-3x^5-1026x-6480+909x^2	$f (x) = - 21 x^{4} + 141 x^{3} - 3 x^{5} - 1026 x - 6480 + 909 x^{2}$
189952	Find the x and y Intercepts	f(x)=(4x)/(x^3+2x^2-3x)	$f (x) = \frac{4 x}{x^{3} + 2 x^{2} - 3 x}$
189953	Solve for y	5+y+(3x-7)i=9-3i	$5 + y + (3 x - 7) i = 9 - 3 i$
189954	Graph	x=5(y-1)^2	$x = 5 {(y - 1)}^{2}$
189955	Graph Using a Table of Values	y=4^(-x)	$y = 4^{- x}$
189956	Solve for r	7-r=8-r-r	$7 - r = 8 - r - r$
189957	Write in Standard Form	4+ square root of -49	$4 + \sqrt{- 49}$
189958	Solve the Inequality for x	4x^3-12x^2>0	$4 x^{3} - 12 x^{2} > 0$
189959	Evaluate	f(x)=((-1)^2+(-1)-12)/((-1)^2-4)	$f (x) = \frac{{(- 1)}^{2} + (- 1) - 12}{{(- 1)}^{2} - 4}$
189960	Multiply	2 1/21 1/21	$2 \frac{1}{2} \cdot 1 \frac{1}{2} \cdot 1$
189961	Evaluate	4/3pi(13)^3	$\frac{4}{3} π {(13)}^{3}$
189962	Find the Exact Value	4!	$4!$
189963	Simplify	(1/(5x)-1/25)/(1/(2x)-1/(x^2))	$\frac{\frac{1}{5 x} - \frac{1}{25}}{\frac{1}{2 x} - \frac{1}{x^{2}}}$
189964	Simplify	(x^2+3x+5)-(x^4+3x+5)	$(x^{2} + 3 x + 5) - (x^{4} + 3 x + 5)$
189965	Find g(f(x))	f(x)=5x-1 and g(x)=5x^2-1	$f (x) = 5 x - 1$ and $g (x) = 5 x^{2} - 1$
189966	Solve for x	-6x=x^2+10	$- 6 x = x^{2} + 10$
189967	Solve for m	(x^m*x^2)^3(k^3)^5=x^21k^15	${(x^{m} \cdot x^{2})}^{3} {(k^{3})}^{5} = x^{21} k^{15}$
189968	Solve for t	(2x)/(t^2)=a	$\frac{2 x}{t^{2}} = a$
189969	Solve for x	log of 343=3 log of x	$\log (343) = 3 \log (x)$
189970	Solve for x	zx=5g(2x-c)	$z x = 5 g (2 x - c)$
189971	Simplify	y^-4(y^2)^2	$y^{- 4} {(y^{2})}^{2}$
189972	Solve for M	a=(2mg)/(M+2m)	$a = \frac{2 mg}{M + 2 m}$
189973	Solve for x	(2x-5)/(x-8)+x/2=11/(x-8)	$\frac{2 x - 5}{x - 8} + \frac{x}{2} = \frac{11}{x - 8}$
189974	Subtract	5/(x^2-2x)-4/(x^2-x)	$\frac{5}{x^{2} - 2 x} - \frac{4}{x^{2} - x}$
189975	Find the Roots (Zeros)	f(x)=(4x-21) natural log of (2x-11)(x-5)	$f (x) = (4 x - 21) \ln ((2 x - 11) (x - 5))$
189976	Solve for x	square root of x(x+1)=0	$\sqrt{x (x + 1)} = 0$
189977	Simplify	(x+7)(xy^2+2xy+1)	$(x + 7) (x y^{2} + 2 x y + 1)$
189978	Solve for x	square root of x=-x+6	$\sqrt{x} = - x + 6$
189979	Factor	x^3-2x+x^5	$x^{3} - 2 x + x^{5}$
189980	Simplify	(m+5)/(mn+3m)	$\frac{m + 5}{m n + 3 m}$
189981	Solve for n	6+9/7n=24	$6 + \frac{9}{7} n = 24$
189982	Divide	(14x)÷(14x)	$(14 x) \div (14 x)$
189983	Find the Roots (Zeros)	f(x)=- square root of 5x+2-1	$f (x) = - \sqrt{5 x + 2} - 1$
189984	Solve for w	-w+9>6w+8	$- w + 9 > 6 w + 8$
189985	Evaluate	4x^3*2x^3	$4 x^{3} \cdot 2 x^{3}$
189986	Simplify	3x-(4-2x+(x-9)+7x)	$3 x - (4 - 2 x + (x - 9) + 7 x)$
189987	Write in Standard Form	x^2=0	$x^{2} = 0$
189988	Solve the Inequality for x	(2x-10)/((x-2)(x-8))<0	$\frac{2 x - 10}{(x - 2) (x - 8)} < 0$
189989	Multiply	2x^3y^2(3x^2-5x^2y^2+4y^2)	$2 x^{3} y^{2} (3 x^{2} - 5 x^{2} y^{2} + 4 y^{2})$
189990	Solve for x	(x-m)/n=2-(x-n)/m	$\frac{x - m}{n} = 2 - \frac{x - n}{m}$
189991	Evaluate	4-5+6÷2*7	$4 - 5 + 6 \div 2 \cdot 7$
189992	Factor	x^3-30x+x^5	$x^{3} - 30 x + x^{5}$
189993	Subtract	3x+5x-x+7	$3 x + 5 x - x + 7$
189994	Find the Roots (Zeros)	f(x) = square root of 4x+1-4	$f (x) = \sqrt{4 x + 1} - 4$
189995	Evaluate	2/3(9x+6)=6x+4	$\frac{2}{3} (9 x + 6) = 6 x + 4$
189996	Solve the Absolute Value Inequality for z	\|2z-3\|=4z-1	$\| 2 z - 3 \| = 4 z - 1$
189997	Solve by Factoring	7x^2+8x=x^2	$7 x^{2} + 8 x = x^{2}$
189998	Simplify	-7/2+1/2i	$\frac{- 7}{2} + \frac{1}{2} i$
189999	Solve for c	(1/4)^(c-2)=64	${(\frac{1}{4})}^{c - 2} = 64$
190000	Find the Domain and Range	f(x)=2(x-4/7)^2+8/11	$f (x) = 2 {(x - \frac{4}{7})}^{2} + \frac{8}{11}$