Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
209101	Find the Domain and Range	f(x)=2* log base 1/4 of x	$f (x) = 2 \cdot \log_{\frac{1}{4}} (x)$
209102	Simplify	(sin(theta))/(cos(theta))+1/(sin(theta))	$\frac{\sin (θ)}{\cos (θ)} + \frac{1}{\sin (θ)}$
209103	Solve for n	2/3(n-6)=5n-43	$\frac{2}{3} (n - 6) = 5 n - 43$
209104	Simplify	-1.4p^2x^6*(5p^3x-1.5px^2-2x^3)	$- 1.4 p^{2} x^{6} \cdot (5 p^{3} x - 1.5 p x^{2} - 2 x^{3})$
209105	Find the x and y Intercepts	f(x)=- square root of x+1-3	$f (x) = - \sqrt{x + 1} - 3$
209106	Simplify	1/3x^2+1/2xy+4xy+2/3x^2	$\frac{1}{3} x^{2} + \frac{1}{2} x y + 4 x y + \frac{2}{3} x^{2}$
209107	Solve for x	square root of 9x-1 = square root of 5x+11	$\sqrt{9 x} - 1 = \sqrt{5 x + 11}$
209108	Simplify	((-p^0m)^3)/(3p)	$\frac{{(- p^{0} m)}^{3}}{3 p}$
209109	Solve Using the Quadratic Formula	x^6+3x^3-5	$x^{6} + 3 x^{3} - 5$
209110	Divide	(-3 1/2)÷2 1/3	$- 3 \frac{1}{2} \div 2 \frac{1}{3}$
209111	Solve for n	3/5n+9/10=-1/5n-23/10	$\frac{3}{5} n + \frac{9}{10} = - \frac{1}{5} n - \frac{23}{10}$
209112	Simplify	(x+12)/(2x-5)-(3x-2)/(2x-5)	$\frac{x + 12}{2 x - 5} - \frac{3 x - 2}{2 x - 5}$
209113	Simplify the Radical Expression	( square root of 8)^2	${(\sqrt{8})}^{2}$
209114	Simplify	(6x^-3y^5)^0	${(6 x^{- 3} y^{5})}^{0}$
209115	Simplify	6.5k(2k-18)+19	$6.5 k (2 k - 18) + 19$
209116	Simplify	i^15i^27i^15*i^8	$i^{15} \cdot i^{27} \cdot i^{15} \cdot i^{8}$
209117	Write in Standard Form	3x^3+2x^4-7x+x^2	$3 x^{3} + 2 x^{4} - 7 x + x^{2}$
209118	Solve for x	56328+16244+166*44-x=0	$56 \cdot 328 + 162 \cdot 44 + 166 \cdot 44 - x = 0$
209119	Simplify	2^-7*(2^-7)/(2^0)	$2^{- 7} \cdot \frac{2^{- 7}}{2^{0}}$
209120	Divide	( square root of 75)÷( square root of 3)	$\sqrt{75} \div \sqrt{3}$
209121	Simplify	Subtract -5x^2+7x+1 from 8x^2+x-10	Subtract $- 5 x^{2} + 7 x + 1$ from $8 x^{2} + x - 10$
209122	Factor by Grouping	x^2y-9y-10x^2+90	$x^{2} y - 9 y - 10 x^{2} + 90$
209123	Simplify	(6x^3-4)+(-2x^3+9)	$(6 x^{3} - 4) + (- 2 x^{3} + 9)$
209124	Evaluate	arctan(-1/( square root of 3))	$\arctan (\frac{- 1}{\sqrt{3}})$
209125	Solve for x	(11-2x)/3=4x	$\frac{11 - 2 x}{3} = 4 x$
209126	Solve for y	2(y+4)^2=22	$2 {(y + 4)}^{2} = 22$
209127	Solve for n	-8-8-8n=-8n-16	$- 8 - 8 - 8 n = - 8 n - 16$
209128	Solve for x	Solve 1/25=5^(x+4)	Solve $\frac{1}{25} = 5^{x + 4}$
209129	Solve by Factoring	x^3-6x^2+12x-8=0	$x^{3} - 6 x^{2} + 12 x - 8 = 0$
209130	Simplify the Radical Expression	6 square root of 2-5 square root of 8+2 square root of 32	$6 \sqrt{2} - 5 \sqrt{8} + 2 \sqrt{32}$
209131	Solve for x	( square root of x)/3-8=2	$\frac{\sqrt{x}}{3} - 8 = 2$
209132	Solve the System of Equations	2x+y=3 y=1/2x-9/2	$2 x + y = 3$ $y = \frac{1}{2} x - \frac{9}{2}$
209133	Solve for x	-2(x+5)>=-6	$- 2 (x + 5) \geq - 6$
209134	Simplify	(-16^(3/2))	$(- 16^{\frac{3}{2}})$
209135	Simplify the Radical Expression	-3/(2 cube root of 3)	$- \frac{3}{2 \sqrt[3]{3}}$
209136	Solve the Inequality for x	1/4x+3>=-3/4x+11	$\frac{1}{4} x + 3 \geq - \frac{3}{4} x + 11$
209137	Combine Like Terms	5m+9m+13-n-7	$5 m + 9 m + 13 - n - 7$
209138	Find the Degree, Leading Term, and Leading Coefficient	h(t)=3(t-5)^3(t-3)^3(t-2)	$h (t) = 3 {(t - 5)}^{3} {(t - 3)}^{3} (t - 2)$
209139	Solve the Inequality for d	d/2-1>=3	$\frac{d}{2} - 1 \geq 3$
209140	Write Using Positive Exponents	(2a^-4)/(5b^-2)	$\frac{2 a^{- 4}}{5 b^{- 2}}$
209141	Solve the Inequality for t	39<3t+3	$39 < 3 t + 3$
209142	Evaluate	square root of 9640.25	$\sqrt{9 \cdot 64 \cdot 0.25}$
209143	Solve the Rational Equation for x	square root of x+3-x=3	$\sqrt{x + 3} - x = 3$
209144	Simplify	((4*10^3)/(10^-2))^2	${(\frac{4 \cdot 10^{3}}{10^{- 2}})}^{2}$
209145	Solve for b	e^(b-3)=6	$e^{b - 3} = 6$
209146	Solve for x	e^(1/x)=0	$e^{\frac{1}{x}} = 0$
209147	Find the LCD	5/(7-z) , 6/(z-7)	$\frac{5}{7 - z}$ , $\frac{6}{z - 7}$
209148	Solve the Inequality for m	3/4m>-12	$\frac{3}{4} m > - 12$
209149	Simplify	(-2)^2(-2)^5	${(- 2)}^{2} {(- 2)}^{5}$
209150	Simplify	i*2i	$i \cdot 2 i$
209151	Factor	6e^3f-11ef	$6 e^{3} f - 11 e f$
209152	Simplify	(2^3a^2b^4)(2^4a^7b)	$(2^{3} a^{2} b^{4}) (2^{4} a^{7} b)$
209153	Write in Standard Form	3m(3m+6)-3(m^2+4m+1)	$3 m (3 m + 6) - 3 (m^{2} + 4 m + 1)$
209154	Factor	24x^3y-18x^2+12xy^2	$24 x^{3} y - 18 x^{2} + 12 x y^{2}$
209155	Solve the System of Equations	y=x^2+6x -x+y=24	$y = x^{2} + 6 x$ $- x + y = 24$
209156	Simplify	5/(a^2+5a)-7/(3a+15)	$\frac{5}{a^{2} + 5 a} - \frac{7}{3 a + 15}$
209157	Divide Using Synthetic Division	6x^5-2x^3+4x^2-3x+1 by x-2	$6 x^{5} - 2 x^{3} + 4 x^{2} - 3 x + 1$ by $x - 2$
209158	Evaluate	1/3(3j+6)	$\frac{1}{3} (3 j + 6)$
209159	Simplify	square root of 2x( square root of 2- square root of x)-5 square root of x	$\sqrt{2 x} (\sqrt{2} - \sqrt{x}) - 5 \sqrt{x}$
209160	Simplify	square root of 3x* square root of 2x*4 square root of 3x^2	$\sqrt{3 x} \cdot \sqrt{2 x} \cdot 4 \sqrt{3 x^{2}}$
209161	Solve for x	-5/(x+3)-4/(x+2)=7/(x^2+5x+6)	$- \frac{5}{x + 3} - \frac{4}{x + 2} = \frac{7}{x^{2} + 5 x + 6}$
209162	Evaluate	( square root of 2)/2*(-2/( square root of 2))	$\frac{\sqrt{2}}{2} \cdot (- \frac{2}{\sqrt{2}})$
209163	Convert to a Decimal	sin(315)deg	$\sin (315)$ degrees
209164	Find the Product	cube root of d* cube root of d* cube root of d	$\sqrt[3]{d} \cdot \sqrt[3]{d} \cdot \sqrt[3]{d}$
209165	Simplify	i^11i^13i^7*i^9	$i^{11} \cdot i^{13} \cdot i^{7} \cdot i^{9}$
209166	Simplify	1/((5x)^(-5/2))	$\frac{1}{{(5 x)}^{- \frac{5}{2}}}$
209167	Solve for x	(2x-3)/(3x+2)<0	$\frac{2 x - 3}{3 x + 2} < 0$
209168	Simplify the Radical Expression	5 square root of 14z^2*4 square root of 21z^3	$5 \sqrt{14 z^{2}} \cdot 4 \sqrt{21 z^{3}}$
209169	Write in Slope-Intercept Form	2y-4+x=0	$2 y - 4 + x = 0$
209170	Simplify	(3 square root of 2)/2+ square root of 2	$\frac{3 \sqrt{2}}{2} + \sqrt{2}$
209171	Simplify	1/(2+x)-(2-x)/x	$\frac{1}{2 + x} - \frac{2 - x}{x}$
209172	Solve Using the Quadratic Formula	6x^2-5x=3x^2+2	$6 x^{2} - 5 x = 3 x^{2} + 2$
209173	Solve for x	square root of x- square root of x+6+ square root of 2=0	$\sqrt{x} - \sqrt{x + 6} + \sqrt{2} = 0$
209174	Evaluate	6(2^3-4)-4+2(7)	$6 (2^{3} - 4) - 4 + 2 (7)$
209175	Solve for x	log base 3 of 2x^2+7- log base 3 of 3x+6=1	$\log_{3} (2 x^{2} + 7) - \log_{3} (3 x + 6) = 1$
209176	Write in Standard Form	-2x(x^3-6x^2+6)+4x^3-(5x^4+10x)	$- 2 x (x^{3} - 6 x^{2} + 6) + 4 x^{3} - (5 x^{4} + 10 x)$
209177	Solve for x	37x+1/2-(x+1/4)=9(4x-7)+5	$37 x + \frac{1}{2} - (x + \frac{1}{4}) = 9 (4 x - 7) + 5$
209178	Simplify	(2x^2)^-2*(2x^4)^2	${(2 x^{2})}^{- 2} \cdot {(2 x^{4})}^{2}$
209179	Solve the Inequality for x	2<x/3+8<17	$2 < \frac{x}{3} + 8 < 17$
209180	Solve the Inequality for x	3x/2+3\|x-2\|<=3	$3 \frac{x}{2} + 3 \| x - 2 \| \leq 3$
209181	Simplify	2x^-3y^3*-10x^3y	$2 x^{- 3} y^{3} \cdot - 10 x^{3} y$
209182	Simplify	((3^9)/(3^5))^2	${(\frac{3^{9}}{3^{5}})}^{2}$
209183	Convert to Rectangular	r=2cos(theta)+2sin(theta)	$r = 2 \cos (θ) + 2 \sin (θ)$
209184	Simplify	(d^(1/2))/(d^(1/2))	$\frac{d^{\frac{1}{2}}}{d^{\frac{1}{2}}}$
209185	Solve by Graphing	y=4/3x-3 y=1	$y = \frac{4}{3} x - 3$ $y = 1$
209186	Solve for w	-2/3=w-7/3	$- \frac{2}{3} = w - \frac{7}{3}$
209187	Solve for x	(x+2)/(x+3)=18/24	$\frac{x + 2}{x + 3} = \frac{18}{24}$
209188	Simplify	(25x^2+10xy+4y^2)(5x-2y)	$(25 x^{2} + 10 x y + 4 y^{2}) (5 x - 2 y)$
209189	Solve the System of Equations	y=-x^2+4 y=x^2+4	$y = - x^{2} + 4$ $y = x^{2} + 4$
209190	Simplify	(-3/5)^3	${(\frac{- 3}{5})}^{3}$
209191	Simplify	square root of 8( square root of 2- square root of 3)	$\sqrt{8} (\sqrt{2} - \sqrt{3})$
209192	Find the Roots (Zeros)	square root of 2x-3=x-3	$\sqrt{2 x - 3} = x - 3$
209193	Simplify	5^(1/2)+10(125)^(1/2)	$5^{\frac{1}{2}} + 10 {(125)}^{\frac{1}{2}}$
209194	Simplify	( square root of 5+2 square root of 3)( square root of 5-2 square root of 3)	$(\sqrt{5} + 2 \sqrt{3}) (\sqrt{5} - 2 \sqrt{3})$
209195	Simplify	0^-1	$0^{- 1}$
209196	Determine the Possible Number of Real Roots	-9/16	$- \frac{9}{16}$
209197	Solve for z	2^(3z+9)=8^(2z+1)	$2^{3 z + 9} = 8^{2 z + 1}$
209198	Simplify	(-6 square root of 80)	$(- 6 \sqrt{80})$
209199	Simplify	(-3x-6)/(x^2-x-6)	$\frac{- 3 x - 6}{x^{2} - x - 6}$
209200	Simplify	3/(x+3)+x/(x^2+7x+12)	$\frac{3}{x + 3} + \frac{x}{x^{2} + 7 x + 12}$