Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
189901	Solve for h	SA=2pir^2+2pirh for h	$S A = 2 π r^{2} + 2 π r h$ for $h$
189902	Solve for x	3x-(5x-9)=7-4(x+1)	$3 x - (5 x - 9) = 7 - 4 (x + 1)$
189903	Solve for t	7=3/5t-2	$7 = \frac{3}{5} t - 2$
189904	Graph	f(x)=2^x and g(x)=3(2^x)	$f (x) = 2^{x}$ and $g (x) = 3 (2^{x})$
189905	Solve the Rational Equation for x	square root of 3x+7+ square root of x+2=1	$\sqrt{3 x + 7} + \sqrt{x + 2} = 1$
189906	Find the Excluded Values	(x-7)/(-5x+40)*(x^2-64)/(-4x+28)	$\frac{x - 7}{- 5 x + 40} \cdot \frac{x^{2} - 64}{- 4 x + 28}$
189907	Find the Degree, Leading Term, and Leading Coefficient	f(x)=x^3(x-2)^2	$f (x) = x^{3} {(x - 2)}^{2}$
189908	Rationalize the Denominator	(x square root of 7)/( square root of 3)	$\frac{x \sqrt{7}}{\sqrt{3}}$
189909	Solve for q	-30=q-10+11q	$- 30 = q - 10 + 11 q$
189910	Solve the Inequality for x	(x^2-1)(x+5)(x-3)<0	$(x^{2} - 1) (x + 5) (x - 3) < 0$
189911	Graph	x/2>=-1	$\frac{x}{2} \geq - 1$
189912	Evaluate	7/(x+2)+4/(x-5)	$\frac{7}{x + 2} + \frac{4}{x - 5}$
189913	Evaluate	3*2^(4+1)	$3 \cdot 2^{4 + 1}$
189914	Simplify	(1/3+1/5-1/7)/(1/x)	$\frac{\frac{1}{3} + \frac{1}{5} - \frac{1}{7}}{\frac{1}{x}}$
189915	Evaluate the Function	f(x)=5x+9 at x=2	$f (x) = 5 x + 9$ at $x = 2$
189916	Solve for x	log of x-2- log of 2x-3 = log of 2	$\log (x - 2) - \log (2 x - 3) = \log (2)$
189917	Simplify	5/(1/6+1/(x+1))	$\frac{5}{\frac{1}{6} + \frac{1}{x + 1}}$
189918	Find the Product	(2a^x+1/2b^x)^2	${(2 a^{x} + \frac{1}{2} b^{x})}^{2}$
189919	Find the x and y Intercepts	f(x)=e^x-1	$f (x) = e^{x} - 1$
189920	Find g(h(x))	g(x)=9+5/4x h(x)=10x-28	$g (x) = 9 + \frac{5}{4} x$ $h (x) = 10 x - 28$
189921	Simplify	(38x^2yz^2)/(-19xy^2z^3)	$\frac{38 x^{2} y z^{2}}{- 19 x y^{2} z^{3}}$
189922	Subtract	Subtract -5x^2+7x+1 from 8x^2+x-10	Subtract $- 5 x^{2} + 7 x + 1$ from $8 x^{2} + x - 10$
189923	Describe the Transformation	g(x)=f(1/3x)	$g (x) = f (\frac{1}{3} x)$
189924	Solve the System of Equations	y=x^2+2x-16 y=x+4	$y = x^{2} + 2 x - 16$ $y = x + 4$
189925	Simplify	(x^9(2x)^4)/(x^3)	$\frac{x^{9} {(2 x)}^{4}}{x^{3}}$
189926	Solve for θ	theta=arctan(1)	$θ = \arctan (1)$
189927	Convert to a Decimal	18deg	$18$ degrees
189928	Solve for z	9^(z-2)=38	$9^{z - 2} = 38$
189929	Write in Slope-Intercept Form	(3,-8) and (6,-4)	$(3, - 8)$ and $(6, - 4)$
189930	Simplify	(10- square root of 49+1)^2	${(10 - \sqrt{49} + 1)}^{2}$
189931	Convert to a Decimal	10rad	$10$ radians
189932	Find the Remainder	(x^4-3x^3+2x^2+x-5)/(x^2-3x+1)	$\frac{x^{4} - 3 x^{3} + 2 x^{2} + x - 5}{x^{2} - 3 x + 1}$
189933	Solve for v	-14+5/6v=1	$- 14 + \frac{5}{6} v = 1$
189934	Simplify	-8h-2(5+f^3)+7g^2	$- 8 h - 2 (5 + f^{3}) + 7 g^{2}$
189935	Simplify	-2x(x^3-6x^2+6)+4x^3-(5x^4+10x)	$- 2 x (x^{3} - 6 x^{2} + 6) + 4 x^{3} - (5 x^{4} + 10 x)$
189936	Identify the Zeros and Their Multiplicities	f(x)=(x-2)^2(3x+7)^3(4x-3)^2	$f (x) = {(x - 2)}^{2} {(3 x + 7)}^{3} {(4 x - 3)}^{2}$
189937	Solve the System of Equations	-3/4x+1/2y=-2 1/5x-1/4y=-6	$- \frac{3}{4} x + \frac{1}{2} y = - 2$ $\frac{1}{5} x - \frac{1}{4} y = - 6$
189938	Evaluate	1-1/(2.5^2)	$1 - \frac{1}{{2.5}^{2}}$
189939	Solve the Inequality for x	7^(3x+2)<=49^x	$7^{3 x + 2} \leq 49^{x}$
189940	Multiply	xxx*x	$x \cdot x \cdot x \cdot x$
189941	Solve for x	x/4-3=0	$\frac{x}{4} - 3 = 0$
189942	Solve the Inequality for x	\|4/7+2x\|<=2/5	$\| \frac{4}{7} + 2 x \| \leq \frac{2}{5}$
189943	Solve for x	3(2x+5)=3x+4x	$3 (2 x + 5) = 3 x + 4 x$
189944	Graph	f(-x)+3	$f (- x) + 3$
189945	Multiply	2/31/54	$\frac{2}{3} \cdot \frac{1}{5} \cdot 4$
189946	Solve for z	z/3<=3	$\frac{z}{3} \leq 3$
189947	Simplify	1/2 square root of 2- square root of 3	$\frac{1}{2} \sqrt{2 - \sqrt{3}}$
189948	Evaluate	(x^(1/3))^2	${(x^{\frac{1}{3}})}^{2}$
189949	Solve the Inequality for p	p+4-2(p-10)>0	$p + 4 - 2 (p - 10) > 0$
189950	Multiply	5/2*1	$\frac{5}{2} \cdot 1$
189951	Solve for n	1/4n-3/8=1/2	$\frac{1}{4} n - \frac{3}{8} = \frac{1}{2}$
189952	Solve for θ	sin(theta)^2-sin(theta)=0	$\sin^{2} (θ) - \sin (θ) = 0$
189953	Solve for x	16(1+3x)^2+11=36	$16 {(1 + 3 x)}^{2} + 11 = 36$
189954	Graph	-x<-x+7(x-2)	$- x < - x + 7 (x - 2)$
189955	Solve for θ	sin(theta)cos(3theta)+cos(theta)sin(3theta)=0	$\sin (θ) \cos (3 θ) + \cos (θ) \sin (3 θ) = 0$
189956	Solve the Inequality for x	6(x-2)>=-5+5x+6	$6 (x - 2) \geq - 5 + 5 x + 6$
189957	Solve the Inequality for x	x^2>=2x	$x^{2} \geq 2 x$
189958	Find the Distance Between Two Points	(-3,0) and (5,-3)	$(- 3, 0)$ and $(5, - 3)$
189959	Solve for x	-1/2(-x+8)=3x+1/2(-6x+1)	$- \frac{1}{2} (- x + 8) = 3 x + \frac{1}{2} (- 6 x + 1)$
189960	Solve for x	log base 7 of x^2+6- log base 7 of x+2=1	$\log_{7} (x^{2} + 6) - \log_{7} (x + 2) = 1$
189961	Solve for x	3x+9<0	$3 x + 9 < 0$
189962	Solve for a	60=a(0+5)(0+3)	$60 = a (0 + 5) (0 + 3)$
189963	Solve for x	-9/x=x/-9	$\frac{- 9}{x} = \frac{x}{- 9}$
189964	Solve the Inequality for x	21<=3+9x	$21 \leq 3 + 9 x$
189965	Find the Complex Conjugate	8- square root of 3	$8 - \sqrt{3}$
189966	Find the End Behavior	f(x)=-21x^4+141x^3-3x^5-1026x-6480+909x^2	$f (x) = - 21 x^{4} + 141 x^{3} - 3 x^{5} - 1026 x - 6480 + 909 x^{2}$
189967	Find the x and y Intercepts	f(x)=(4x)/(x^3+2x^2-3x)	$f (x) = \frac{4 x}{x^{3} + 2 x^{2} - 3 x}$
189968	Solve for y	5+y+(3x-7)i=9-3i	$5 + y + (3 x - 7) i = 9 - 3 i$
189969	Graph	x=5(y-1)^2	$x = 5 {(y - 1)}^{2}$
189970	Graph Using a Table of Values	y=4^(-x)	$y = 4^{- x}$
189971	Solve for r	7-r=8-r-r	$7 - r = 8 - r - r$
189972	Write in Standard Form	4+ square root of -49	$4 + \sqrt{- 49}$
189973	Solve the Inequality for x	4x^3-12x^2>0	$4 x^{3} - 12 x^{2} > 0$
189974	Evaluate	f(x)=((-1)^2+(-1)-12)/((-1)^2-4)	$f (x) = \frac{{(- 1)}^{2} + (- 1) - 12}{{(- 1)}^{2} - 4}$
189975	Multiply	2 1/21 1/21	$2 \frac{1}{2} \cdot 1 \frac{1}{2} \cdot 1$
189976	Evaluate	4/3pi(13)^3	$\frac{4}{3} π {(13)}^{3}$
189977	Find the Exact Value	4!	$4!$
189978	Simplify	(1/(5x)-1/25)/(1/(2x)-1/(x^2))	$\frac{\frac{1}{5 x} - \frac{1}{25}}{\frac{1}{2 x} - \frac{1}{x^{2}}}$
189979	Simplify	(x^2+3x+5)-(x^4+3x+5)	$(x^{2} + 3 x + 5) - (x^{4} + 3 x + 5)$
189980	Find g(f(x))	f(x)=5x-1 and g(x)=5x^2-1	$f (x) = 5 x - 1$ and $g (x) = 5 x^{2} - 1$
189981	Solve for x	-6x=x^2+10	$- 6 x = x^{2} + 10$
189982	Solve for m	(x^m*x^2)^3(k^3)^5=x^21k^15	${(x^{m} \cdot x^{2})}^{3} {(k^{3})}^{5} = x^{21} k^{15}$
189983	Solve for t	(2x)/(t^2)=a	$\frac{2 x}{t^{2}} = a$
189984	Solve for x	log of 343=3 log of x	$\log (343) = 3 \log (x)$
189985	Solve for x	zx=5g(2x-c)	$z x = 5 g (2 x - c)$
189986	Simplify	y^-4(y^2)^2	$y^{- 4} {(y^{2})}^{2}$
189987	Solve for M	a=(2mg)/(M+2m)	$a = \frac{2 mg}{M + 2 m}$
189988	Solve for x	(2x-5)/(x-8)+x/2=11/(x-8)	$\frac{2 x - 5}{x - 8} + \frac{x}{2} = \frac{11}{x - 8}$
189989	Subtract	5/(x^2-2x)-4/(x^2-x)	$\frac{5}{x^{2} - 2 x} - \frac{4}{x^{2} - x}$
189990	Find the Roots (Zeros)	f(x)=(4x-21) natural log of (2x-11)(x-5)	$f (x) = (4 x - 21) \ln ((2 x - 11) (x - 5))$
189991	Solve for x	square root of x(x+1)=0	$\sqrt{x (x + 1)} = 0$
189992	Simplify	(x+7)(xy^2+2xy+1)	$(x + 7) (x y^{2} + 2 x y + 1)$
189993	Solve for x	square root of x=-x+6	$\sqrt{x} = - x + 6$
189994	Factor	x^3-2x+x^5	$x^{3} - 2 x + x^{5}$
189995	Simplify	(m+5)/(mn+3m)	$\frac{m + 5}{m n + 3 m}$
189996	Solve for n	6+9/7n=24	$6 + \frac{9}{7} n = 24$
189997	Divide	(14x)÷(14x)	$(14 x) \div (14 x)$
189998	Find the Roots (Zeros)	f(x)=- square root of 5x+2-1	$f (x) = - \sqrt{5 x + 2} - 1$
189999	Solve for w	-w+9>6w+8	$- w + 9 > 6 w + 8$
190000	Evaluate	4x^3*2x^3	$4 x^{3} \cdot 2 x^{3}$