Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
216801	Graph	5x-9y>=8 7x-4y<10	$5 x - 9 y \geq 8$ $7 x - 4 y < 10$
216802	Evaluate	cos(pi/4+pi/3)	$\cos (\frac{π}{4} + \frac{π}{3})$
216803	Solve for d	fourth root of 27-2d = fourth root of d-3	$\sqrt[4]{27 - 2 d} = \sqrt[4]{d - 3}$
216804	Simplify	(2 square root of 5x)/( square root of 7y^2)	$\frac{2 \sqrt{5 x}}{\sqrt{7 y^{2}}}$
216805	Find the Roots (Zeros)	9x^4-16=0	$9 x^{4} - 16 = 0$
216806	Solve for x	3/4x+3/2x=9/4	$\frac{3}{4} x + \frac{3}{2} x = \frac{9}{4}$
216807	Evaluate	(5(7)+5^2)/5	$\frac{5 (7) + 5^{2}}{5}$
216808	Solve for x	( square root of x-27)^3=64	${(\sqrt{x - 27})}^{3} = 64$
216809	Simplify	(2/3x^5y^-5)*(1/3x^2y^2)	$(\frac{2}{3} x^{5} y^{- 5}) \cdot (\frac{1}{3} x^{2} y^{2})$
216810	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-3,1) and has a slope of 2/3 ?	What is the equation of the line that passes through the point $(- 3, 1)$ and has a slope of $\frac{2}{3}$ ?
216811	Divide	(10 cube root of z)/(2z^2)	$\frac{10 \sqrt[3]{z}}{2 z^{2}}$
216812	Find the Holes in the Graph	f(x)=(2x^2-8x-24)/(x^2-36)	$f (x) = \frac{2 x^{2} - 8 x - 24}{x^{2} - 36}$
216813	Simplify	(2-2x+x^2)(x+5)	$(2 - 2 x + x^{2}) (x + 5)$
216814	Simplify the Radical Expression	(y^(5/4))/(y^(1/4))	$\frac{y^{\frac{5}{4}}}{y^{\frac{1}{4}}}$
216815	Simplify	4x^2(x-2)(x+2)	$4 x^{2} (x - 2) (x + 2)$
216816	Write in Standard Form	-3x-4x^2-5x^5+6x^3	$- 3 x - 4 x^{2} - 5 x^{5} + 6 x^{3}$
216817	Simplify	-9+(-1/3y)+6-4/3y	$- 9 + (- \frac{1}{3} y) + 6 - \frac{4}{3} y$
216818	Evaluate	2(2)^-1	$2 {(2)}^{- 1}$
216819	Factor by Grouping	4xy+12x^2	$4 x y + 12 x^{2}$
216820	Simplify the Radical Expression	(4 square root of 7+3)(6 square root of 7-1)	$(4 \sqrt{7} + 3) (6 \sqrt{7} - 1)$
216821	Simplify	((2-3i)/(1+i))*((3+2i)/(3i))	$(\frac{2 - 3 i}{1 + i}) \cdot (\frac{3 + 2 i}{3 i})$
216822	Evaluate	((-2)^2-4)/((-2)+2)	$\frac{{(- 2)}^{2} - 4}{(- 2) + 2}$
216823	Write with Rational (Fractional) Exponents	fourth root of 7^5* fourth root of 7	$\sqrt[4]{7^{5}} \cdot \sqrt[4]{7}$
216824	Evaluate	5^x+1=106	$5^{x} + 1 = 106$
216825	Simplify	16 square root of x+ square root of x-12 square root of y-2 square root of y	$16 \sqrt{x} + \sqrt{x} - 12 \sqrt{y} - 2 \sqrt{y}$
216826	Simplify	Simplify 5 fifth root of 2x^3y^4*3 fifth root of 16x^2y	Simplify $5 \sqrt[5]{2 x^{3} y^{4}} \cdot 3 \sqrt[5]{16 x^{2} y}$
216827	Solve for x	-2x^2+x+1=0	$- 2 x^{2} + x + 1 = 0$
216828	Divide Using Long Polynomial Division	(3x^3-11x^2y+11xy^2-2y^3)÷(x-2y)	$(3 x^{3} - 11 x^{2} y + 11 x y^{2} - 2 y^{3}) \div (x - 2 y)$
216829	Simplify	x*1/(x^2)	$x \cdot \frac{1}{x^{2}}$
216830	Solve for x	(x^2-36)/(x-6)<=0	$\frac{x^{2} - 36}{x - 6} \leq 0$
216831	Simplify	( cube root of -5)/(40^(1/3))	$\frac{\sqrt[3]{- 5}}{40^{\frac{1}{3}}}$
216832	Simplify	-10a^2+6a^3+3a-6a^3-4a+8a^2	$- 10 a^{2} + 6 a^{3} + 3 a - 6 a^{3} - 4 a + 8 a^{2}$
216833	Write in Standard Form	(4x^5+x^3-7x^2+2)(3x-1)	$(4 x^{5} + x^{3} - 7 x^{2} + 2) (3 x - 1)$
216834	Solve for r	3 square root of r = square root of 8r+16	$3 \sqrt{r} = \sqrt{8 r + 16}$
216835	Evaluate	45% of 40	$45 %$ of $40$
216836	Graph	-4k-3<-7 or 1-k>=6	$- 4 k - 3 < - 7$ or $1 - k \geq 6$
216837	Multiply	-14/37*10/140	$- \frac{14}{37} \cdot \frac{10}{140}$
216838	Find the Domain and Range	g(x)=3(1/(x+1))-2	$g (x) = 3 (\frac{1}{x + 1}) - 2$
216839	Solve for v	15v-2v+29=5v-27	$15 v - 2 v + 29 = 5 v - 27$
216840	Simplify	cube root of (640a^3b^8)/(5ab^4)	$\sqrt[3]{\frac{640 a^{3} b^{8}}{5 a b^{4}}}$
216841	Combine Like Terms	1/3x+3/4+2/3x-1/4-2/3x	$\frac{1}{3} x + \frac{3}{4} + \frac{2}{3} x - \frac{1}{4} - \frac{2}{3} x$
216842	Solve the Inequality for x	3(x+4)>2x+x+7	$3 (x + 4) > 2 x + x + 7$
216843	Solve for θ	(2sin(theta)+1)/(sin(theta)-1)=0	$\frac{2 \sin (θ) + 1}{\sin (θ) - 1} = 0$
216844	Evaluate	((8-2)(3+2)-1)3	$((8 - 2) \times (3 + 2) - 1) \times 3$
216845	Solve for r	(5,9) , (r,-3) , m=-4	$(5, 9)$ , $(r, - 3)$ , $m = - 4$
216846	Simplify	3x-1+3x-1+3x-1+3x-1	$3 x - 1 + 3 x - 1 + 3 x - 1 + 3 x - 1$
216847	Evaluate	(sin((3pi)/2)-5cos((13pi)/4))/(tan((25pi)/4))	$\frac{\sin (\frac{3 π}{2}) - 5 \cos (\frac{13 π}{4})}{\tan (\frac{25 π}{4})}$
216848	Graph	S(t)=1/2 square root of x-3+1	$S (t) = \frac{1}{2} \sqrt{x - 3} + 1$
216849	Simplify the Radical Expression	square root of 6*4 square root of 6	$\sqrt{6} \cdot 4 \sqrt{6}$
216850	Convert to Rectangular	x=4cos(theta) y=3sin(theta)	$x = 4 \cos (θ)$ $y = 3 \sin (θ)$
216851	Evaluate	4pi*135/360	$4 π \cdot \frac{135}{360}$
216852	Solve for n	4(5n-1)^(1/3)-1=0	$4 {(5 n - 1)}^{\frac{1}{3}} - 1 = 0$
216853	Find the Inverse	f(x)=1/2(x-1)^3+3	$f (x) = \frac{1}{2} {(x - 1)}^{3} + 3$
216854	Solve for u	square root of u=-10	$\sqrt{u} = - 10$
216855	Evaluate	((x^(2/5)*x^(4/5))/(x^(2/5)))^(1/2)	${(\frac{x^{\frac{2}{5}} \cdot x^{\frac{4}{5}}}{x^{\frac{2}{5}}})}^{\frac{1}{2}}$
216856	Solve for x	x/(x-1)+4/(x+1)=2/((x-1)(x+1))	$\frac{x}{x - 1} + \frac{4}{x + 1} = \frac{2}{(x - 1) (x + 1)}$
216857	Find the x and y Intercepts	f(x)=x^2(x^2-2)(x+1)(x^2+9)	$f (x) = x^{2} (x^{2} - 2) (x + 1) (x^{2} + 9)$
216858	Simplify the Radical Expression	square root of 16x^2*x^(2/3)+ cube root of 8x^5	$\sqrt{16 x^{2}} \cdot x^{\frac{2}{3}} + \sqrt[3]{8 x^{5}}$
216859	Multiply	x*(x+1)	$x \cdot (x + 1)$
216860	Solve for x	-2cos(x)=-2	$- 2 \cos (x) = - 2$
216861	Write in Standard Form	-2x^2+x+5x^3+4x+2x^2	$- 2 x^{2} + x + 5 x^{3} + 4 x + 2 x^{2}$
216862	Evaluate	-2^3*(-2)^0	$- 2^{3} \cdot {(- 2)}^{0}$
216863	Solve the Inequality for x	3(2x+7)>6(x-5)	$3 (2 x + 7) > 6 (x - 5)$
216864	Find the Exact Value	(10^-15)/(3.9*10^-7)	$\frac{10^{- 15}}{3.9 \cdot 10^{- 7}}$
216865	Simplify	(a^2)/((a^3)/(a^5))	$\frac{a^{2}}{\frac{a^{3}}{a^{5}}}$
216866	Simplify	-2x-10-10x^2+3	$- 2 x - 10 - 10 x^{2} + 3$
216867	Write in Standard Form	h(x)=-x^3+2x^2-15x^7	$h (x) = - x^{3} + 2 x^{2} - 15 x^{7}$
216868	Solve the Inequality for x	-1/2<=(8-3x)/5<=1/4	$- \frac{1}{2} \leq \frac{8 - 3 x}{5} \leq \frac{1}{4}$
216869	Solve the Inequality for x	(4\|x-9\|)/3>8	$\frac{4 \| x - 9 \|}{3} > 8$
216870	Graph	x+y<=4 2x-y>=3	$x + y \leq 4$ $2 x - y \geq 3$
216871	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-4,-7) and has a slope of 5/2 ?	What is the equation of the line that passes through the point $(- 4, - 7)$ and has a slope of $\frac{5}{2}$ ?
216872	Simplify	((r^3)^4)/((r^3)^8)	$\frac{{(r^{3})}^{4}}{{(r^{3})}^{8}}$
216873	Solve for n	-3(7n+3)<6n	$- 3 (7 n + 3) < 6 n$
216874	Evaluate	(x^a)/(x^b)	$\frac{x^{a}}{x^{b}}$
216875	Solve the Inequality for x	3+ square root of 3x+12<=9	$3 + \sqrt{3 x + 12} \leq 9$
216876	Solve for h	T=2rpih+2pir^2 ; for h	$T = 2 r π h + 2 π r^{2}$ ; for $h$
216877	Solve the Inequality for y	19-6y<=-2y+21	$19 - 6 y \leq - 2 y + 21$
216878	Factor	4x^4+24x^(1/3)	$4 x^{4} + 24 x^{\frac{1}{3}}$
216879	Graph	3x-y=-6 y=x+4	$3 x - y = - 6$ $y = x + 4$
216880	Solve for x	5 square root of 1-5x-3=27	$5 \sqrt{1 - 5 x} - 3 = 27$
216881	Evaluate	((32+5)2)*2-4	$((3 \cdot 2 + 5) \cdot 2) \cdot 2 - 4$
216882	Solve the Rational Equation for x	2/(3x)+1/6=4/(3x)	$\frac{2}{3 x} + \frac{1}{6} = \frac{4}{3 x}$
216883	Solve for x	cube root of 5x^2-61-4=0	$\sqrt[3]{5 x^{2} - 61} - 4 = 0$
216884	Evaluate	5*4-(2+8)+6÷2	$5 \cdot 4 - (2 + 8) + 6 \div 2$
216885	Solve the Inequality for x	-4/3x+1/6<7/9	$- \frac{4}{3} x + \frac{1}{6} < \frac{7}{9}$
216886	Simplify	((9x^3)/5)÷((3x^3)/8)	$\frac{9 x^{3}}{5} \div \frac{3 x^{3}}{8}$
216887	Write the Fraction in Simplest Form	(13x^-5y^0)/(5^-3z^-10)	$\frac{13 x^{- 5} y^{0}}{5^{- 3} z^{- 10}}$
216888	Divide	((x-8)/(10x^3+70x^2))÷(1/(x+7))	$\frac{x - 8}{10 x^{3} + 70 x^{2}} \div \frac{1}{x + 7}$
216889	Write in Standard Form	x/3-y/4-1/2=0	$\frac{x}{3} - \frac{y}{4} - \frac{1}{2} = 0$
216890	Solve the Rational Equation for v	1/v+(3v+12)/(v^2-5v)=(7v-56)/(v^2-5v)	$\frac{1}{v} + \frac{3 v + 12}{v^{2} - 5 v} = \frac{7 v - 56}{v^{2} - 5 v}$
216891	Simplify	4 square root of 22 square root of 8 square root of 20	$4 \sqrt{2} \cdot 2 \sqrt{8} \cdot \sqrt{20}$
216892	Solve for d	d+2/5=9	$d + \frac{2}{5} = 9$
216893	Simplify	(4 1/2/4 3/4)^4	${(\frac{4 \frac{1}{2}}{4 \frac{3}{4}})}^{4}$
216894	Simplify	12 square root of mn^2+5 square root of n^2+2 square root of m^3n^3	$12 \sqrt{m n^{2}} + 5 \sqrt{n^{2}} + 2 \sqrt{m^{3} n^{3}}$
216895	Solve for s	q-r+s=P	$q - r + s = P$
216896	Solve for x	5*17^(1-3x)=20	$5 \cdot 17^{1 - 3 x} = 20$
216897	Simplify	fifth root of k^4 fourth root of k^11	$\sqrt[5]{k^{4}} \sqrt[4]{k^{11}}$
216898	Evaluate	2/3(3)^(3/2)	$\frac{2}{3} {(3)}^{\frac{3}{2}}$
216899	Evaluate	25% of 120	$25 %$ of $120$
216900	Solve the Inequality for x	5x^2-33x-7>=x	$5 x^{2} - 33 x - 7 \geq x$