Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
203801	Multiply	(mn+1)(m^2n-1)(mn^2+2)	$(m n + 1) (m^{2} n - 1) (m n^{2} + 2)$
203802	Simplify	((72^(1/5))/(9^(1/5)))^3	${(\frac{72^{\frac{1}{5}}}{9^{\frac{1}{5}}})}^{3}$
203803	Graph	7x+2>=30 or 2x-3<=-11	$7 x + 2 \geq 30$ or $2 x - 3 \leq - 11$
203804	Simplify	(2^(x-1)+2^(x-2))*2^(-x+2)	$(2^{x - 1} + 2^{x - 2}) \cdot 2^{- x + 2}$
203805	Graph	-4x+3>-9 and -6x<=12	$- 4 x + 3 > - 9$ and $- 6 x \leq 12$
203806	Divide	(30c^8d^3-36c^6d^2+6c^3d)/(12c^2d)	$\frac{30 c^{8} d^{3} - 36 c^{6} d^{2} + 6 c^{3} d}{12 c^{2} d}$
203807	Solve for n	(b^5)/(b^n)=1/b	$\frac{b^{5}}{b^{n}} = \frac{1}{b}$
203808	Graph	f(x)=-2x+x^3+3x^5-4	$f (x) = - 2 x + x^{3} + 3 x^{5} - 4$
203809	Solve for x	(1/2)^(7x+1)=-9	${(\frac{1}{2})}^{7 x + 1} = - 9$
203810	Divide	9÷( square root of 2)	$9 \div \sqrt{2}$
203811	Graph	y>=5/2y+5	$y \geq \frac{5}{2} y + 5$
203812	Solve for r	-6-2r-7=17+r	$- 6 - 2 r - 7 = 17 + r$
203813	Simplify the Radical Expression	cube root of fifth root of -64	$\sqrt[3]{\sqrt[5]{- 64}}$
203814	Simplify	cube root of fifth root of -64	$\sqrt[3]{\sqrt[5]{- 64}}$
203815	Simplify	2/(9x^3)+4/(9x^3)	$\frac{2}{9 x^{3}} + \frac{4}{9 x^{3}}$
203816	Solve the Rational Equation for x	-3/(x+3)=x/(x+3)-x/5	$\frac{- 3}{x + 3} = \frac{x}{x + 3} - \frac{x}{5}$
203817	Graph	-x+y<=-1 x+2y>=4	$- x + y \leq - 1$ $x + 2 y \geq 4$
203818	Solve for x	(2x)/(2x+5)=3/4-6/(4x+10)	$\frac{2 x}{2 x + 5} = \frac{3}{4} - \frac{6}{4 x + 10}$
203819	Simplify	(63a^2b^4c^7)/(-7a^2b^3c^5)	$\frac{63 a^{2} b^{4} c^{7}}{- 7 a^{2} b^{3} c^{5}}$
203820	Solve for x	square root of 6+x- square root of x-5=2	$\sqrt{6 + x} - \sqrt{x - 5} = 2$
203821	Graph	The graph of y=f(x) is graphed below. What is the end behavior of f(x) ?	The graph of $y = f (x)$ is graphed below. What is the end behavior of $f (x)$ ?
203822	Simplify	2i square root of 25-4i square root of 4	$2 i \sqrt{25} - 4 i \sqrt{4}$
203823	Convert to a Decimal	256mi per 8gal	$256 miles$ per $8 gallons$
203824	Solve the System of Inequalities	5h-4>=6 and 7h+11<32	$5 h - 4 \geq 6$ and $7 h + 11 < 32$
203825	Find the x and y Intercepts	y=(x^2-5)(x-1)^2(x-2)^3	$y = (x^{2} - 5) {(x - 1)}^{2} {(x - 2)}^{3}$
203826	Solve for z	1-4z=-6-9z+6z	$1 - 4 z = - 6 - 9 z + 6 z$
203827	Simplify	fifth root of 10^2* sixth root of 10^5	$\sqrt[5]{10^{2}} \cdot \sqrt[6]{10^{5}}$
203828	Solve for x	square root of x+5-1 = square root of x	$\sqrt{x + 5} - 1 = \sqrt{x}$
203829	Solve for w	-w/20=-2.5	$- \frac{w}{20} = - 2.5$
203830	Simplify	1/2x=5/6	$\frac{1}{2} x = \frac{5}{6}$
203831	Solve the Inequality for p	2(p+1)>7+p	$2 (p + 1) > 7 + p$
203832	Simplify	((4^-4)÷(2^8))÷(2^-10)	$(4^{- 4} \div 2^{8}) \div 2^{- 10}$
203833	Solve for c	6-2c- natural log of c=0	$6 - 2 c - \ln (c) = 0$
203834	Find the Holes in the Graph	(-3x^2+9x-6)/(2x^2-8)	$\frac{- 3 x^{2} + 9 x - 6}{2 x^{2} - 8}$
203835	Solve by Substitution	6x=4y-42 4x+y=5	$6 x = 4 y - 42$ $4 x + y = 5$
203836	Solve for d	square root of d+1+2 = square root of 9-d	$\sqrt{d + 1} + 2 = \sqrt{9 - d}$
203837	Subtract	(2/9v)-(-1/3v+5/9)	$(\frac{2}{9} v) - (- \frac{1}{3} v + \frac{5}{9})$
203838	Solve for S	S(t)=1/3t^3-3.5t^2+10t	$S (t) = \frac{1}{3} t^{3} - 3.5 t^{2} + 10 t$
203839	Solve for n	(mx+ny)^2=4x^2+12xy+9y^2	${(m x + n y)}^{2} = 4 x^{2} + 12 x y + 9 y^{2}$
203840	Simplify	((3/5)(2/5))÷(4/7)	$((\frac{3}{5}) (\frac{2}{5})) \div \frac{4}{7}$
203841	Simplify	((x+8)/2)÷((3x+24)/5)	$\frac{x + 8}{2} \div \frac{3 x + 24}{5}$
203842	Simplify	(6 square root of 5- square root of 125)* square root of 45	$(6 \sqrt{5} - \sqrt{125}) \cdot \sqrt{45}$
203843	Find the Degree, Leading Term, and Leading Coefficient	-7+(x^4)/5+8x	$- 7 + \frac{x^{4}}{5} + 8 x$
203844	Divide Using Synthetic Division	(x^5-4x^3+4x^2)÷(x-4)	$(x^{5} - 4 x^{3} + 4 x^{2}) \div (x - 4)$
203845	Simplify	((x+1)/(x+2))(x+2)	$(\frac{x + 1}{x + 2}) (x + 2)$
203846	Simplify	i square root of 1 1/2*i square root of 4/3	$i \sqrt{1 \frac{1}{2}} \cdot i \sqrt{\frac{4}{3}}$
203847	Solve for x	4/((x+1)^2)-1/((x-1)^2)+1/(x^2-1)=0	$\frac{4}{{(x + 1)}^{2}} - \frac{1}{{(x - 1)}^{2}} + \frac{1}{x^{2} - 1} = 0$
203848	Solve for c	square root of c=4	$\sqrt{c} = 4$
203849	Solve for x	3^(x+1)+3^(3-x)=30	$3^{x + 1} + 3^{3 - x} = 30$
203850	Solve for x	32^(3x-4)>128^(4x+3)	$32^{3 x - 4} > 128^{4 x + 3}$
203851	Solve by Addition/Elimination	3x=2y-7 2x-5y=10	$3 x = 2 y - 7$ $2 x - 5 y = 10$
203852	Simplify	square root of 7* fifth root of 7^6	$\sqrt{7} \cdot \sqrt[5]{7^{6}}$
203853	Solve the System of Equations	x-y=0 5x-2y=6	$x - y = 0$ $5 x - 2 y = 6$
203854	Multiply	26/5226/5125/50	$\frac{26}{52} \cdot \frac{26}{51} \cdot \frac{25}{50}$
203855	Solve for m	16*2^(6m)=2^(3m-8)	$16 \cdot 2^{6 m} = 2^{3 m - 8}$
203856	Solve for x	square root of 8x-3 = square root of 10x-4	$\sqrt{8 x} - 3 = \sqrt{10 x - 4}$
203857	Evaluate	2^x+2^x	$2^{x} + 2^{x}$
203858	Find the GCF	64+40x^2+72x	$64 + 40 x^{2} + 72 x$
203859	Evaluate	(-6+- square root of 6^2-43-9)/(2(3))	$\frac{- 6 + - \sqrt{6^{2} - 4 \cdot 3 \cdot - 9}}{2 (3)}$
203860	Simplify	((20^(1/2))/(5^(1/2)))^3	${(\frac{20^{\frac{1}{2}}}{5^{\frac{1}{2}}})}^{3}$
203861	Describe the Transformation	f(x)=5*(4/5)^(x+3)	$f (x) = 5 \cdot {(\frac{4}{5})}^{x + 3}$
203862	Solve for T	T=w-ma	$T = w - m a$
203863	Solve for x	x square root of 6=5 square root of 6	$x \sqrt{6} = 5 \sqrt{6}$
203864	Factor	-18x^3y+96x^2y^2-128xy^3	$- 18 x^{3} y + 96 x^{2} y^{2} - 128 x y^{3}$
203865	Solve the Inequality for x	2(x-8)<=x-12	$2 (x - 8) \leq x - 12$
203866	Solve the Inequality for g	7(g-19)>=-14	$7 (g - 19) \geq - 14$
203867	Find the Complex Conjugate	square root of 3- square root of 5	$\sqrt{3} - \sqrt{5}$
203868	Simplify	2c-3-5c+7+9c-c	$2 c - 3 - 5 c + 7 + 9 c - c$
203869	Simplify	(2x+1)/(2x)+7/x	$\frac{2 x + 1}{2 x} + \frac{7}{x}$
203870	Solve for x	2(x+5)^4=128	$2 {(x + 5)}^{4} = 128$
203871	Solve for x	(x^2-4)/(x-2)=2x-1	$\frac{x^{2} - 4}{x - 2} = 2 x - 1$
203872	Solve for x	-x-6+4x=-10-5x-7	$- x - 6 + 4 x = - 10 - 5 x - 7$
203873	Solve for x	fourth root of x+5+2=0	$\sqrt[4]{x + 5} + 2 = 0$
203874	Solve by Graphing	y=1/2x-6 y=-x	$y = \frac{1}{2} x - 6$ $y = - x$
203875	Find the x and y Intercepts	f(x)=-2*2^(1/3x)+3	$f (x) = - 2 \cdot 2^{\frac{1}{3} x} + 3$
203876	Solve for d	d^2=-5	$d^{2} = - 5$
203877	Simplify	(3^(3/4)*27^(3/4))/(9^(3/4))	$\frac{3^{\frac{3}{4}} \cdot 27^{\frac{3}{4}}}{9^{\frac{3}{4}}}$
203878	Simplify	(-12c^3d^0f^-2)/(6c^5d^-3f^4)	$\frac{- 12 c^{3} d^{0} f^{- 2}}{6 c^{5} d^{- 3} f^{4}}$
203879	Find the First Term	a_n=2*(1/4)^(n-1)	$a_{n} = 2 \cdot {(\frac{1}{4})}^{n - 1}$
203880	Evaluate	-2^6*(-1^7)	$- 2^{6} \cdot (- 1^{7})$
203881	Solve for x	2 square root of 3x+6-8<=4	$2 \sqrt{3 x + 6} - 8 \leq 4$
203882	Solve the System of Inequalities	x-y<=2 x+2y>=1	$x - y \leq 2$ $x + 2 y \geq 1$
203883	Subtract	(4x)/(x^2-1)-4/(x-1)	$\frac{4 x}{x^{2} - 1} - \frac{4}{x - 1}$
203884	Solve the Rational Equation for x	5 square root of 5x+2=10	$5 \sqrt{5 x + 2} = 10$
203885	Solve for x	x-10x^2=0	$x - 10 x^{2} = 0$
203886	Simplify the Radical Expression	(12^2)^(1/4)	${(12^{2})}^{\frac{1}{4}}$
203887	Solve for r	square root of r=2	$\sqrt{r} = 2$
203888	Simplify	-6r^-5s^-2*(-2r^3s^-2)^3	$- 6 r^{- 5} s^{- 2} \cdot {(- 2 r^{3} s^{- 2})}^{3}$
203889	Simplify	( square root of x^7)( square root of x^3)	$(\sqrt{x^{7}}) (\sqrt{x^{3}})$
203890	Simplify	((2x^-2)/3)((3x)/4)^2	$(\frac{2 x^{- 2}}{3}) {(\frac{3 x}{4})}^{2}$
203891	Evaluate	(x^2y^-1)^2	${(x^{2} y^{- 1})}^{2}$
203892	Solve for b	-8+2(2b-3)=-6+10b-8b	$- 8 + 2 (2 b - 3) = - 6 + 10 b - 8 b$
203893	Solve for x	(x+2)/(x-3)+3/(x-3)=3	$\frac{x + 2}{x - 3} + \frac{3}{x - 3} = 3$
203894	Evaluate	(infinity+negative infinity)^infinity	${(\infty + - \infty)}^{\infty}$
203895	Evaluate	7x^3=189	$7 x^{3} = 189$
203896	Evaluate	sin(pi/4)-cos(pi/4)	$\sin (\frac{π}{4}) - \cos (\frac{π}{4})$
203897	Solve for m	5/8m>-40	$\frac{5}{8} m > - 40$
203898	Solve for k	-7(-5k+10)+1=10+6k+8	$- 7 (- 5 k + 10) + 1 = 10 + 6 k + 8$
203899	Convert to Radical Form	9^(2/4)	$9^{\frac{2}{4}}$
203900	Solve the Inequality for X	-5X>20	$- 5 X > 20$