Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
12701	Find All Complex Solutions	\|x\|+3=0	$\| x \| + 3 = 0$
12702	Simplify	-6/(8+ square root of 14)	$\frac{- 6}{8 + \sqrt{14}}$
12703	Evaluate	cube root of 2x+5=5	$\sqrt[3]{2 x + 5} = 5$
12704	Simplify the Radical Expression	6k square root of 12k	$6 k \sqrt{12 k}$
12705	Solve for f	5^0*5^f=5^4	$5^{0} \cdot 5^{f} = 5^{4}$
12706	Factor by Grouping	x-y-xy+x^2	$x - y - x y + x^{2}$
12707	Solve the Function Operation	g(a)=3a+2 f(a)=2a-4 Find (g/f)(3)	$g (a) = 3 a + 2$ $f (a) = 2 a - 4$ Find $(\frac{g}{f}) (3)$
12708	Evaluate	20% of 75	$20 %$ of $75$
12709	Find the Domain and Range	g(x) = square root of 1/3(x+4)-1	$g (x) = \sqrt{\frac{1}{3} (x + 4)} - 1$
12710	Solve for x	y = square root of ax+b	$y = \sqrt{a x} + b$
12711	Simplify	4cd(2c^60d^4)^0	$4 c d {(2 c^{60} d^{4})}^{0}$
12712	Solve for a	square root of 8- square root of 32- square root of 18=2 square root of a-4 square root of a-3 square root of a	$\sqrt{8} - \sqrt{32} - \sqrt{18} = 2 \sqrt{a} - 4 \sqrt{a} - 3 \sqrt{a}$
12713	Solve the Function Operation	f(x)=2x^2-5x-8 g(x)=-5x+4 Find: (gof)(x)	$f (x) = 2 x^{2} - 5 x - 8$ $g (x) = - 5 x + 4$ Find: $((g \circ f)) (x)$
12714	Simplify the Radical Expression	fourth root of 5/(x^3y^8)	$\sqrt[4]{\frac{5}{x^{3} y^{8}}}$
12715	Find the Domain and Range	g(x)=-3sec(2x+4)-1	$g (x) = - 3 \sec (2 x + 4) - 1$
12716	Find the Derivative - d/dx	(1+x+y)/( square root of 1+x^2+y^2)	$\frac{1 + x + y}{\sqrt{1 + x^{2} + y^{2}}}$
12717	Find the Quotient	(x^5-x^3+x-5)÷(x-2)	$(x^{5} - x^{3} + x - 5) \div (x - 2)$
12718	Solve for c	34c-14c+3=7	$34 c - 14 c + 3 = 7$
12719	Simplify	( square root of 2/5)( square root of 9/2)( square root of 10/3)	$(\sqrt{\frac{2}{5}}) (\sqrt{\frac{9}{2}}) (\sqrt{\frac{10}{3}})$
12720	Simplify	(2x+5)/3-5/x	$\frac{2 x + 5}{3} - \frac{5}{x}$
12721	Simplify	(-14/36)(-(6s)/112)	$(- \frac{14}{36}) (- \frac{6 s}{112})$
12722	Simplify	3((x square root of x)/(x^-3))^(5/3)	$3 {(\frac{x \sqrt{x}}{x^{- 3}})}^{\frac{5}{3}}$
12723	Solve the Inequality for x	e^(3x+4)>11	$e^{3 x + 4} > 11$
12724	Divide	( square root of 36x^6)/( square root of 9x^4)	$\frac{\sqrt{36 x^{6}}}{\sqrt{9 x^{4}}}$
12725	Find the Asymptotes	f(x)=(9x^2)/((x-1)(x+2))	$f (x) = \frac{9 x^{2}}{(x - 1) (x + 2)}$
12726	Graph	y<2x+4 -3x-2y>=6	$y < 2 x + 4$ $- 3 x - 2 y \geq 6$
12727	Evaluate	4(7-x)	$4 (7 - x)$
12728	Simplify	(64^(5/9)*64^(2/9))/(4^(3/4))	$\frac{64^{\frac{5}{9}} \cdot 64^{\frac{2}{9}}}{4^{\frac{3}{4}}}$
12729	Write in Standard Form	(3a+2b-7)-(4b-10)	$(3 a + 2 b - 7) - (4 b - 10)$
12730	Simplify	Simplify 2 natural log of x+2- natural log of x+2- natural log of 2-3	Simplify $2 \ln (x + 2) - \ln (x + 2) - \ln (2) - 3$
12731	Simplify the Radical Expression	square root of 5*-4 square root of 20	$\sqrt{5} \cdot - 4 \sqrt{20}$
12732	Solve for x	8/(x^2)-16/x+2=0	$\frac{8}{x^{2}} - \frac{16}{x} + 2 = 0$
12733	Solve by Factoring	(x^2-7x-18)/(x+2)=x-9	$\frac{x^{2} - 7 x - 18}{x + 2} = x - 9$
12734	Simplify	-(-cb^7)^3	$- {(- c b^{7})}^{3}$
12735	Find the Midpoint	(6,8) and (12,10)	$(6, 8)$ and $(12, 10)$
12736	Solve for v	-3 = square root of -3-v-4	$- 3 = \sqrt{- 3 - v} - 4$
12737	Evaluate the Integral	integral of ((2x-5)^2)/( square root of x) with respect to x	$\int \frac{{(2 x - 5)}^{2}}{\sqrt{x}} d x$
12738	Find the Cosine of the Angle	60	$60$
12739	Simplify	(x^2-4x-1)+(-5+5x^2-3x)	$(x^{2} - 4 x - 1) + (- 5 + 5 x^{2} - 3 x)$
12740	Find the Exact Value	16(1+0.09)^8	$16 {(1 + 0.09)}^{8}$
12741	Convert to Radical Form	5^(1/2)+5^(1/3)	$5^{\frac{1}{2}} + 5^{\frac{1}{3}}$
12742	Solve for x	(x+12)12=(4+8)8	$(x + 12) \cdot 12 = (4 + 8) \cdot 8$
12743	Find the Class Width	2 , 3 , 4 , 5 , 3 , 6 , 8 , 6 , 4 , 2	$2$ , $3$ , $4$ , $5$ , $3$ , $6$ , $8$ , $6$ , $4$ , $2$
12744	Solve for x	square root of (2x)/3=6	$\sqrt{\frac{2 x}{3}} = 6$
12745	Simplify	(2.5dr^2)/6+(3dr^2)/4	$\frac{2.5 d r^{2}}{6} + \frac{3 d r^{2}}{4}$
12746	Solve for z	4 = square root of z^2-9	$4 = \sqrt{z^{2} - 9}$
12747	Find the x and y Intercepts	y=(x-3)^2(x+2)^4	$y = {(x - 3)}^{2} {(x + 2)}^{4}$
12748	Solve for x	5^(-3x^2+15)=(1/25)^(-9x+33)	$5^{- 3 x^{2} + 15} = {(\frac{1}{25})}^{- 9 x + 33}$
12749	Simplify	sin(A)+(cos(A)^2)/(1+sin(A))	$\sin (A) + \frac{\cos^{2} (A)}{1 + \sin (A)}$
12750	Solve for x	2x^6=1458	$2 x^{6} = 1458$
12751	Find Amplitude, Period, and Phase Shift	y=-4cos(x-pi/3)+2	$y = - 4 \cos (x - \frac{π}{3}) + 2$
12752	Simplify	((3gh^4)/(g^5h^2))^4	${(\frac{3 g h^{4}}{g^{5} h^{2}})}^{4}$
12753	Simplify the Radical Expression	square root of 12+2 square root of 18-4 square root of 27	$\sqrt{12} + 2 \sqrt{18} - 4 \sqrt{27}$
12754	Solve the Inequality for y	y+42>97	$y + 42 > 97$
12755	Solve for x	(40x)÷10=28	$40 x \div 10 = 28$
12756	Solve the Function Operation	cos(theta)=-24/25 , theta in quadrant II	$\cos (θ) = - \frac{24}{25}$ , $θ$ in quadrant $I \cdot I$
12757	Solve for x	1/( square root of x+3) = square root of -2x	$\frac{1}{\sqrt{x + 3}} = \sqrt{- 2 x}$
12758	Solve the Inequality for h	h+12<15	$h + 12 < 15$
12759	Solve for x	6/7x+4/14x=48/14	$\frac{6}{7} x + \frac{4}{14} x = \frac{48}{14}$
12760	Simplify	(x^2+x+2)/(x+4)-(2x+22)/(x+4)	$\frac{x^{2} + x + 2}{x + 4} - \frac{2 x + 22}{x + 4}$
12761	Simplify	((a^(2/5))/(b^(1/5)))^5	${(\frac{a^{\frac{2}{5}}}{b^{\frac{1}{5}}})}^{5}$
12762	Simplify	square root of x^17* square root of x^11	$\sqrt{x^{17}} \cdot \sqrt{x^{11}}$
12763	Evaluate	2/(2-x)+3/(x+2)=(2x)/(x^2-4)	$\frac{2}{2 - x} + \frac{3}{x + 2} = \frac{2 x}{x^{2} - 4}$
12764	Evaluate	y/(y-4)-4/(y+4)=32/(y^2-16)	$\frac{y}{y - 4} - \frac{4}{y + 4} = \frac{32}{y^{2} - 16}$
12765	Simplify	square root of cube root of 8	$\sqrt{\sqrt[3]{8}}$
12766	Solve for x	log base 2 of x^2+7- log base 2 of 2x+3=3	$\log_{2} (x^{2} + 7) - \log_{2} (2 x + 3) = 3$
12767	Simplify	(12m^5w^6)/(3w^4)*(5(m^4)^3)/(w^-3)	$\frac{12 m^{5} w^{6}}{3 w^{4}} \cdot \frac{5 {(m^{4})}^{3}}{w^{- 3}}$
12768	Add	(2x^3-4x^2+7x+1)+(-x^3+2x^2+3x-5)	$(2 x^{3} - 4 x^{2} + 7 x + 1) + (- x^{3} + 2 x^{2} + 3 x - 5)$
12769	Solve Using the Quadratic Formula	4(3x-8)^2=4	$4 {(3 x - 8)}^{2} = 4$
12770	Simplify	(h^2i-3h^2i^2)/(hi)+(3h^2+9h^2i)/(3h)	$\frac{h^{2} i - 3 h^{2} i^{2}}{h i} + \frac{3 h^{2} + 9 h^{2} i}{3 h}$
12771	Solve the Inequality for s	s+1<=7	$s + 1 \leq 7$
12772	Add	(k+5)/(k+1)+8/(k^2-1)	$\frac{k + 5}{k + 1} + \frac{8}{k^{2} - 1}$
12773	Factor	7y+2xy-10x-35	$7 y + 2 x y - 10 x - 35$
12774	Simplify	(2n^2-3)(n^2+5n-1)	$(2 n^{2} - 3) (n^{2} + 5 n - 1)$
12775	Solve the Inequality for h	h+4<6	$h + 4 < 6$
12776	Evaluate	square root of 3x=12	$\sqrt{3 x} = 12$
12777	Solve for v	2+ square root of 90-v=11	$2 + \sqrt{90 - v} = 11$
12778	Evaluate	2/3* square root of 2.25+1/6* square root of 8100	$\frac{2}{3} \cdot \sqrt{2.25} + \frac{1}{6} \cdot \sqrt{8100}$
12779	Find the Excluded Values	(x^2+x-6)/(x^2+8x+15)	$\frac{x^{2} + x - 6}{x^{2} + 8 x + 15}$
12780	Simplify the Radical Expression	6 square root of 75mp^2q^3	$6 \sqrt{75 m p^{2} q^{3}}$
12781	Convert to Trigonometric Form	(2+tan(x)^2)/(sec(x)^2)-1	$\frac{2 + \tan^{2} (x)}{\sec^{2} (x)} - 1$
12782	Multiply	(3xy-7)^2	${(3 x y - 7)}^{2}$
12783	Solve for E	A=(B-C)/(D-E)	$A = \frac{B - C}{D - E}$
12784	Write in Slope-Intercept Form	(6,-1) and (3,-7)	$(6, - 1)$ and $(3, - 7)$
12785	Find the Asymptotes	(25x^2-64)/(10x^2+16x)	$\frac{25 x^{2} - 64}{10 x^{2} + 16 x}$
12786	Solve for x	sec(x)^2=-1	$\sec^{2} (x) = - 1$
12787	Solve for b	1.8(b-5.3)-4.2=5.8(b-2.3)	$1.8 (b - 5.3) - 4.2 = 5.8 (b - 2.3)$
12788	Simplify	6(x+7)+(x+3)	$6 (x + 7) + (x + 3)$
12789	Determine if Odd, Even, or Neither	F(x)=-x^4+2x^2+8	$F (x) = - x^{4} + 2 x^{2} + 8$
12790	Evaluate the Integral	integral from e^64 to e^81 of 1/(x square root of natural log of x) with respect to x	$\int_{e^{64}}^{e^{81}} \frac{1}{x \sqrt{\ln (x)}} d x$
12791	Simplify	cube root of 54m^8* cube root of 5m^4	$\sqrt[3]{54 m^{8}} \cdot \sqrt[3]{5 m^{4}}$
12792	Solve the Inequality for x	1/3x+8<=11	$\frac{1}{3} x + 8 \leq 11$
12793	Evaluate the Limit	limit as x approaches c of (8)^(2/3)	$lim_{x \to c} {(8)}^{\frac{2}{3}}$
12794	Simplify	((5x^3y)/(20xy^5))	$(\frac{5 x^{3} y}{20 x y^{5}})$
12795	Simplify the Radical Expression	5x1/2	$5 x \frac{1}{2}$
12796	Solve for x in Radians	sin(2x)=sin(x)	$\sin (2 x) = \sin (x)$
12797	Evaluate the Limit	limit as x approaches -4 from the right of square root of 5x+20-8	$lim_{x \to {(- 4)}^{+}} \sqrt{5 x + 20} - 8$
12798	Find the Product	(3+a+b)^2	${(3 + a + b)}^{2}$
12799	Graph	x^2+y>4	$x^{2} + y > 4$
12800	Simplify	(6x^3)/7*(4x^3)/3	$\frac{6 x^{3}}{7} \cdot \frac{4 x^{3}}{3}$