Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
7101	Simplify	(84xy^8)/( fourth root of 216x^3y^5)	$\frac{84 x y^{8}}{\sqrt[4]{216 x^{3} y^{5}}}$
7102	Simplify	cube root of 7^2* fifth root of 7^3	$\sqrt[3]{7^{2}} \cdot \sqrt[5]{7^{3}}$
7103	Solve for x	3^x*9^x=3^15	$3^{x} \cdot 9^{x} = 3^{15}$
7104	Write the Fraction in Simplest Form	(12c^9)/((4c)^4)	$\frac{12 c^{9}}{{(4 c)}^{4}}$
7105	Find the GCF	6x^2y-12xy+9x^3y^2	$6 x^{2} y - 12 x y + 9 x^{3} y^{2}$
7106	Solve for x	8 square root of x-10=6 square root of x	$8 \sqrt{x} - 10 = 6 \sqrt{x}$
7107	Evaluate	((3^-2)^5)/((27^-2)^2)	$\frac{{(3^{- 2})}^{5}}{{(27^{- 2})}^{2}}$
7108	Solve the System of Equations	3x-3y+6z=-21 -4x-y+z=15 -2x-y+z=7	$3 x - 3 y + 6 z = - 21$ $- 4 x - y + z = 15$ $- 2 x - y + z = 7$
7109	Simplify	(-6u^2v^4+12uv^4)-(2u^3v^4-9u^2v^4-5uv^4)+(-3u^3v^4-13uv^4)	$(- 6 u^{2} v^{4} + 12 u v^{4}) - (2 u^{3} v^{4} - 9 u^{2} v^{4} - 5 u v^{4}) + (- 3 u^{3} v^{4} - 13 u v^{4})$
7110	Solve for y	5+ square root of 4y-5=12	$5 + \sqrt{4 y - 5} = 12$
7111	Find the Domain and Range	g(x)=-3(x+1)^(1/3)	$g (x) = - 3 {(x + 1)}^{\frac{1}{3}}$
7112	Find the Asymptotes	y=(x^2-3x-4)/(3-x^2)	$y = \frac{x^{2} - 3 x - 4}{3 - x^{2}}$
7113	Solve for m	m-7+5m=11	$m - 7 + 5 m = 11$
7114	Simplify the Radical Expression	(5^(1/2)x^(1/4))^2	${(5^{\frac{1}{2}} x^{\frac{1}{4}})}^{2}$
7115	Solve for f	4.5f=6.3f-4.5	$4.5 f = 6.3 f - 4.5$
7116	Solve for x	6=10x^3+6	$6 = 10 x^{3} + 6$
7117	Simplify	square root of 28x- square root of 14+ square root of 63x	$\sqrt{28 x} - \sqrt{14} + \sqrt{63 x}$
7118	Determine if a Polynomial	-y square root of 6+2yz	$- y \sqrt{6} + 2 y z$
7119	Find the Concavity	f(x)=-1/5x^6+5x^4	$f (x) = - \frac{1}{5} x^{6} + 5 x^{4}$
7120	Solve the Rational Equation for a	-8+ square root of 5a-5=-3	$- 8 + \sqrt{5 a - 5} = - 3$
7121	Find dZ/dX	Z=(XY)/(X+Y)	$Z = \frac{X Y}{X + Y}$
7122	Solve for y	(y+1)/2=-2(y+1)	$\frac{y + 1}{2} = - 2 (y + 1)$
7123	Find the End Behavior	f(x)=x^2+24-10x	$f (x) = x^{2} + 24 - 10 x$
7124	Graph	y<=-5/(2x)+5	$y \leq - \frac{5}{2 x} + 5$
7125	Simplify	(5/(6z^3))÷(5/(12z^5))	$\frac{5}{6 z^{3}} \div \frac{5}{12 z^{5}}$
7126	Write in Standard Form	w^3+5w^2+28-w	$w^{3} + 5 w^{2} + 28 - w$
7127	Evaluate	((2x^3)/(3x^2))^-1	${(\frac{2 x^{3}}{3 x^{2}})}^{- 1}$
7128	Graph	-x^2+y>=3	$- x^{2} + y \geq 3$
7129	Graph	y=-(x-3)(x+2)(3x-4)	$y = - (x - 3) (x + 2) (3 x - 4)$
7130	Solve for x	4x^2e^(-x^2)-2e^(-x^2)=0	$4 x^{2} e^{- x^{2}} - 2 e^{- x^{2}} = 0$
7131	Solve for m	19m-5-11m=15+3m	$19 m - 5 - 11 m = 15 + 3 m$
7132	Find the Maximum/Minimum Value	f(x)=( natural log of x)/(x^2)	$f (x) = \frac{\ln (x)}{x^{2}}$
7133	Multiply	(2x+5)(x^3-2x^2+3x-1)	$(2 x + 5) (x^{3} - 2 x^{2} + 3 x - 1)$
7134	Simplify	i^30i^20i^29*i^6	$i^{30} \cdot i^{20} \cdot i^{29} \cdot i^{6}$
7135	Factor	6xy-4y+6-9x	$6 x y - 4 y + 6 - 9 x$
7136	Simplify	( square root of 3+3 square root of 5)/(2 square root of 8)	$\frac{\sqrt{3} + 3 \sqrt{5}}{2 \sqrt{8}}$
7137	Solve the System of Equations	y=-5/3x-6 2x-3y=-24	$y = - \frac{5}{3} x - 6$ $2 x - 3 y = - 24$
7138	Simplify	(1+ square root of 3i)^2	${(1 + \sqrt{3} i)}^{2}$
7139	Solve for x	5 1/2>=1.6x	$5 \frac{1}{2} \geq 1.6 x$
7140	Simplify	(y/x-x/y)/(5/y-5/x)	$\frac{\frac{y}{x} - \frac{x}{y}}{\frac{5}{y} - \frac{5}{x}}$
7141	Graph	-12 square root of 2x-3>-36	$- 12 \sqrt{2 x - 3} > - 36$
7142	Determine if Continuous	h(x)=-x^2+k^2,0<=x<=1; (4x+4)/(2-x),x>1	$h (x) = {\begin{cases} - x^{2} + k^{2}, 0 \leq x \leq 1 \\ \frac{4 x + 4}{2 - x}, x > 1 \end{cases}$
7143	Evaluate the Integral	integral of (10^(20t)-e^(20t)) with respect to t	$\int (10^{20 t} - e^{20 t}) d t$
7144	Find the Degree, Leading Term, and Leading Coefficient	1-1/3x^3-5x^4-10x	$1 - \frac{1}{3} x^{3} - 5 x^{4} - 10 x$
7145	Solve for C	C=5/9(41-32)	$C = \frac{5}{9} (41 - 32)$
7146	Evaluate the Integral	integral of ( square root of x^5)/6 with respect to x	$\int \frac{\sqrt{x^{5}}}{6} d x$
7147	Simplify the Radical Expression	9 square root of 7+6 square root of 7+3 square root of 7	$9 \sqrt{7} + 6 \sqrt{7} + 3 \sqrt{7}$
7148	Simplify	(3+ square root of 2)/(3- square root of 2)	$\frac{3 + \sqrt{2}}{3 - \sqrt{2}}$
7149	Find the Exact Value	cos(theta)+sin(theta)*tan(theta)	$\cos (θ) + \sin (θ) \cdot \tan (θ)$
7150	Solve for x	(1/6)^(3x^2-15x)=36^(12x+3)	${(\frac{1}{6})}^{3 x^{2} - 15 x} = 36^{12 x + 3}$
7151	Simplify	(4x)/(x+1)*(x^2-6x-7)/(x^2-7x)	$\frac{4 x}{x + 1} \cdot \frac{x^{2} - 6 x - 7}{x^{2} - 7 x}$
7152	Find the Domain and Range	3y+xy=2x+1	$3 y + x y = 2 x + 1$
7153	Convert from Radians to Degrees	2.5rad	$2.5$ radians
7154	Solve for r	i=v/r	$i = \frac{v}{r}$
7155	Evaluate	-2x^-3	$- 2 x^{- 3}$
7156	Simplify	square root of 3/(y^5)	$\sqrt{\frac{3}{y^{5}}}$
7157	Simplify	( cube root of 8)÷( cube root of 6)	$\sqrt[3]{8} \div \sqrt[3]{6}$
7158	Convert to Rectangular Coordinates	(-2,135 degrees )	$(- 2, 135 °)$
7159	Solve for x	x-x^2+42=0	$x - x^{2} + 42 = 0$
7160	Solve for x	-3x+3=-3(1+x)	$- 3 x + 3 = - 3 (1 + x)$
7161	Convert to Radical Form	(x+y)^(1/2)	${(x + y)}^{\frac{1}{2}}$
7162	Solve the System of Equations	y=-3/2x-4 x-y=-6	$y = - \frac{3}{2} x - 4$ $x - y = - 6$
7163	Write in Slope-Intercept Form	3x+y>=-7	$3 x + y \geq - 7$
7164	Find the Holes in the Graph	y=(x-2)/((x+2)(x-2))	$y = \frac{x - 2}{(x + 2) (x - 2)}$
7165	Convert to Radical Form	(2x)^(1/5)*(2x)^(-1/5)	${(2 x)}^{\frac{1}{5}} \cdot {(2 x)}^{\frac{- 1}{5}}$
7166	Solve the Inequality for x	3<=-6-5x<12	$3 \leq - 6 - 5 x < 12$
7167	Solve for x	7x+5+1-3x=4x+6	$7 x + 5 + 1 - 3 x = 4 x + 6$
7168	Evaluate the Integral	integral of (x+2)/( square root of x^2+4x) with respect to x	$\int \frac{x + 2}{\sqrt{x^{2} + 4 x}} d x$
7169	Solve for x	fourth root of 3x = square root of x	$\sqrt[4]{3 x} = \sqrt{x}$
7170	Simplify the Radical Expression	square root of a^3+2a^2+a	$\sqrt{a^{3} + 2 a^{2} + a}$
7171	Solve the System of Equations	y=-x^2-5x-4 y=-x^2+9x-18	$y = - x^{2} - 5 x - 4$ $y = - x^{2} + 9 x - 18$
7172	Solve the System of Equations	(x+5)^2+y^2=90 x+3y=-5	${(x + 5)}^{2} + y^{2} = 90$ $x + 3 y = - 5$
7173	Simplify	(4x^2yz^3)^2(2xy^2z)^2	${(4 x^{2} y z^{3})}^{2} {(2 x y^{2} z)}^{2}$
7174	Simplify	(2(1-i square root of 2)-3)/((1-i square root of 2)^2)	$\frac{2 (1 - i \sqrt{2}) - 3}{{(1 - i \sqrt{2})}^{2}}$
7175	Simplify	3 square root of 1/8	$3 \sqrt{\frac{1}{8}}$
7176	Solve the Rational Equation for x	10/(x^2-2x)+4/x=5/(x-2)	$\frac{10}{x^{2} - 2 x} + \frac{4}{x} = \frac{5}{x - 2}$
7177	Multiply	(-4/3xy^3)*(9x^8y)	$(- \frac{4}{3} x y^{3}) \cdot (9 x^{8} y)$
7178	Simplify	12 root of 1/(n^-8*n^-7)	$\sqrt[12]{\frac{1}{n^{- 8} \cdot n^{- 7}}}$
7179	Evaluate	4^-1*4	$4^{- 1} \cdot 4$
7180	Evaluate the Integral	integral of ((x^3+ square root of x)/(x^5)) with respect to x	$\int (\frac{x^{3} + \sqrt{x}}{x^{5}}) d x$
7181	Solve for q	0.8+2q+0.7=-3q-1	$0.8 + 2 q + 0.7 = - 3 q - 1$
7182	Solve for x	1/3x^2+10=7	$\frac{1}{3} x^{2} + 10 = 7$
7183	Simplify	( square root of 45x^9)/( square root of 9)	$\frac{\sqrt{45 x^{9}}}{\sqrt{9}}$
7184	Simplify	(w1/3)/(w^3)	$\frac{w \frac{1}{3}}{w^{3}}$
7185	Divide Using Long Polynomial Division	(6x^5+5x^4+x^3-3x^2+x)/(3x+1)	$\frac{6 x^{5} + 5 x^{4} + x^{3} - 3 x^{2} + x}{3 x + 1}$
7186	Simplify the Radical Expression	- square root of 72- square root of 200	$- \sqrt{72} - \sqrt{200}$
7187	Convert to Interval Notation	-1/8<x<=3/2	$- \frac{1}{8} < x \leq \frac{3}{2}$
7188	Simplify	-2 cube root of 5x*3 cube root of 25x^2	$- 2 \sqrt[3]{5 x} \cdot 3 \sqrt[3]{25 x^{2}}$
7189	Write in Slope-Intercept Form	x+y<5	$x + y < 5$
7190	Evaluate	(8^2-2^3)/(2^2)	$\frac{8^{2} - 2^{3}}{2^{2}}$
7191	Simplify	-( square root of 1)/( square root of 49)	$- \frac{\sqrt{1}}{\sqrt{49}}$
7192	Simplify	-3g(7g-2)+3(g^2+2g+1)-3g(-5g+3)	$- 3 g (7 g - 2) + 3 (g^{2} + 2 g + 1) - 3 g (- 5 g + 3)$
7193	Solve for n	-28+8n=5n+3n-21	$- 28 + 8 n = 5 n + 3 n - 21$
7194	Solve for x	log base 2 of x^2-4- log base 2 of 3x+6=4	$\log_{2} (x^{2} - 4) - \log_{2} (3 x + 6) = 4$
7195	Simplify	(7x^0)^1	${(7 x^{0})}^{1}$
7196	Evaluate the Integral	integral from 0 to 2 of (x+1)/( square root of x^2+2x+1) with respect to x	$\int_{0}^{2} \frac{x + 1}{\sqrt{x^{2} + 2 x + 1}} d x$
7197	Simplify	(x-y)^2-a(y-x)	${(x - y)}^{2} - a (y - x)$
7198	Write in Exponential Form	log base 24 of 2 square root of 6=1/2	$\log_{24} (2 \sqrt{6}) = \frac{1}{2}$
7199	Write in Standard Form	2y^2-3x^2=7-18x-20y	$2 y^{2} - 3 x^{2} = 7 - 18 x - 20 y$
7200	Factor	xk-xy-x^2+yk	$x k - x y - x^{2} + y k$