Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
219801	Solve the Rational Equation for x	square root of x-6 = square root of 36-2x	$\sqrt{x - 6} = \sqrt{36 - 2 x}$
219802	Multiply	-4 cube root of 2*3 cube root of 4	$- 4 \sqrt[3]{2} \cdot 3 \sqrt[3]{4}$
219803	Simplify	2^4*4^-2	$2^{4} \cdot 4^{- 2}$
219804	Simplify	2ab^3c(a-3b^3)	$2 a b^{3} c (a - 3 b^{3})$
219805	Evaluate	(1/2)÷((- square root of 3)/2)	$\frac{1}{2} \div \frac{- \sqrt{3}}{2}$
219806	Solve the Inequality for x	3x^2+14x+5<=3x-3	$3 x^{2} + 14 x + 5 \leq 3 x - 3$
219807	Subtract	(b^4-8b^2+6b)-(9b^4-4b^3+4b^2+8b)	$(b^{4} - 8 b^{2} + 6 b) - (9 b^{4} - 4 b^{3} + 4 b^{2} + 8 b)$
219808	Simplify	3-(2x-y)/4+(x+4y)/12	$3 - \frac{2 x - y}{4} + \frac{x + 4 y}{12}$
219809	Simplify	csc(x)-(cot(x)^2)/(csc(x))	$\csc (x) - \frac{\cot^{2} (x)}{\csc (x)}$
219810	Rationalize the Denominator	( square root of ab)/( square root of a+ square root of b)	$\frac{\sqrt{a b}}{\sqrt{a} + \sqrt{b}}$
219811	Solve for x	2x<x+22	$2 x < x + 22$
219812	Evaluate	( square root of 27)^3	${(\sqrt[2]{27})}^{3}$
219813	Simplify	(2x+1-1/(1-2x))÷(2x-(4x^2)/(2x-1))	$(2 x + 1 - \frac{1}{1 - 2 x}) \div (2 x - \frac{4 x^{2}}{2 x - 1})$
219814	Solve for x	a/(x+a)+b/(x-b)=(a+b)/(x+c)	$\frac{a}{x + a} + \frac{b}{x - b} = \frac{a + b}{x + c}$
219815	Find the Product	(x^2-3x)/(x-2)*(x^2+x-6)/x	$\frac{x^{2} - 3 x}{x - 2} \cdot \frac{x^{2} + x - 6}{x}$
219816	Factor	9x^3+9x^2y-x-y	$9 x^{3} + 9 x^{2} y - x - y$
219817	Factor by Grouping	4y-10xy+35x-14	$4 y - 10 x y + 35 x - 14$
219818	Solve for x	-4(x-2)=-2(x-17/2)	$- 4 (x - 2) = - 2 (x - \frac{17}{2})$
219819	Solve for x	(1/3)^2*(1/3)^x=1/729	${(\frac{1}{3})}^{2} \cdot {(\frac{1}{3})}^{x} = \frac{1}{729}$
219820	Simplify	( square root of 2pi)/( square root of 5)	$\frac{\sqrt{2} π}{\sqrt{5}}$
219821	Solve the Inequality for x	3(x-2)-9x+18<=0	$3 (x - 2) - 9 x + 18 \leq 0$
219822	Evaluate	(1+0.03/4)^(4/12)-1	${(1 + \frac{0.03}{4})}^{\frac{4}{12}} - 1$
219823	Solve the Inequality for y	y-11>4	$y - 11 > 4$
219824	Simplify	(x+y)^2-2xy	${(x + y)}^{2} - 2 x y$
219825	Combine Like Terms	-18+3(5x-2)+8	$- 18 + 3 (5 x - 2) + 8$
219826	Solve for m	square root of 5m+6+ square root of 3m+4=0	$\sqrt{5 m + 6} + \sqrt{3 m + 4} = 0$
219827	Subtract	(3/5x+3/4)-(1/3x-1/8)	$(\frac{3}{5} x + \frac{3}{4}) - (\frac{1}{3} x - \frac{1}{8})$
219828	Solve the Rational Equation for x	square root of 3x-2=6	$\sqrt{3 x - 2} = 6$
219829	Simplify	(x^3+3x^2+1)(3x^2+6x-2)	$(x^{3} + 3 x^{2} + 1) (3 x^{2} + 6 x - 2)$
219830	Simplify	(5- square root of 5x)^2	${(5 - \sqrt{5 x})}^{2}$
219831	Evaluate the Function	g(-4)=ax^2+24	$g (- 4) = a x^{2} + 24$
219832	Solve Using the Quadratic Formula	x^2+4x+20=12x-5	$x^{2} + 4 x + 20 = 12 x - 5$
219833	Find the x and y Intercepts	f(x)=(x^2-9)/(2x^2+1)	$f (x) = \frac{x^{2} - 9}{2 x^{2} + 1}$
219834	Divide Using Long Polynomial Division	Use the long division method to find the result when 12x^3+23x^2+30x+25 is divided by 4x+5	Use the long division method to find the result when $12 x^{3} + 23 x^{2} + 30 x + 25$ is divided by $4 x + 5$
219835	Evaluate	(1/4)^(x+1)=32	${(\frac{1}{4})}^{x + 1} = 32$
219836	Graph	21>=3(a-7)+9	$21 \geq 3 (a - 7) + 9$
219837	Simplify	24(n/2-2/3)	$24 (\frac{n}{2} - \frac{2}{3})$
219838	Multiply	(x-c)(x+c)(x^2-c^2)	$(x - c) (x + c) (x^{2} - c^{2})$
219839	Simplify	-3x+ square root of 25x^2	$- 3 x + \sqrt{25 x^{2}}$
219840	Evaluate	(cot((3pi)/4)-cot(pi/4))/((3pi)/4-pi/4)	$\frac{\cot (\frac{3 π}{4}) - \cot (\frac{π}{4})}{\frac{3 π}{4} - \frac{π}{4}}$
219841	Find h(g(a))	h(a)=3a-5 g(a)=4a-3	$h (a) = 3 a - 5$ $g (a) = 4 a - 3$
219842	Solve for x	-6=-9/x	$- 6 = - \frac{9}{x}$
219843	Solve for x	6x=-12x^2	$6 x = - 12 x^{2}$
219844	Solve for x	-1/2x^2=-6x+20	$- \frac{1}{2} x^{2} = - 6 x + 20$
219845	Evaluate	tan(x)^2-(sin(x)^2)/(cot(x)^2)	$\tan^{2} (x) - \frac{\sin^{2} (x)}{\cot^{2} (x)}$
219846	Evaluate	6e^(4x)-2=3	$6 e^{4 x} - 2 = 3$
219847	Solve for x	2/x-3=26/x	$\frac{2}{x} - 3 = \frac{26}{x}$
219848	Graph	2y=3/4x-1/2	$2 y = \frac{3}{4} x - \frac{1}{2}$
219849	Simplify	(3/5d^3)(5/3d^5)	$(\frac{3}{5} d^{3}) (\frac{5}{3} d^{5})$
219850	Simplify	(2 square root of 4)(- square root of 9)(2 square root of 25)	$(2 \sqrt{4}) (- \sqrt{9}) (2 \sqrt{25})$
219851	Evaluate	square root of 3-2x=x	$\sqrt{3 - 2 x} = x$
219852	Simplify the Radical Expression	((a^2+3)^(1/3))/((a^2-3)^(-1/3))	$\frac{{(a^{2} + 3)}^{\frac{1}{3}}}{{(a^{2} - 3)}^{\frac{- 1}{3}}}$
219853	Find the Exact Value	arcsin(sec(pi))	$\arcsin (\sec (π))$
219854	Simplify	1/(81^(-3/4))	$\frac{1}{81^{- \frac{3}{4}}}$
219855	Convert to a Decimal	190deg	$190$ degrees
219856	Simplify	x(x^(-1/2))	$x (x^{- \frac{1}{2}})$
219857	Simplify	-17b+a-23b+24a-10	$- 17 b + a - 23 b + 24 a - 10$
219858	Solve the Inequality for x	5-3/4x<=6	$5 - \frac{3}{4} x \leq 6$
219859	Evaluate	(4(-2)+4(3+(-4))^2)/(3-1)	$\frac{4 (- 2) + 4 {(3 + (- 4))}^{2}}{3 - 1}$
219860	Simplify	v/(v^0)	$\frac{v}{v^{0}}$
219861	Find the Product	cube root of 4* cube root of 16	$\sqrt[3]{4} \cdot \sqrt[3]{16}$
219862	Solve for g	7/8(f-g)=d	$\frac{7}{8} (f - g) = d$
219863	Solve for θ	sin(theta)<0	$\sin (θ) < 0$
219864	Simplify	(x-7)/(x^2-16)-(x-1)/(16-x^2)	$\frac{x - 7}{x^{2} - 16} - \frac{x - 1}{16 - x^{2}}$
219865	Solve for x	1/(x-2)-5=4/(x^2-4)	$\frac{1}{x - 2} - 5 = \frac{4}{x^{2} - 4}$
219866	Divide Using Long Polynomial Division	Use the long division method to find the result when 6x^3+25x^2+26x+8 is divided by 3x+2	Use the long division method to find the result when $6 x^{3} + 25 x^{2} + 26 x + 8$ is divided by $3 x + 2$
219867	Simplify	3/4(8x^2+1)+3x^2+1/4	$\frac{3}{4} (8 x^{2} + 1) + 3 x^{2} + \frac{1}{4}$
219868	Solve the Rational Equation for v	square root of v-5 = square root of 23-v	$\sqrt{v - 5} = \sqrt{23 - v}$
219869	Evaluate	(-7-8)/(7-3)	$\frac{- 7 - 8}{7 - 3}$
219870	Simplify	((2a^5b^3)/(a^3a^-2))^3	${(\frac{2 a^{5} b^{3}}{a^{3} a^{- 2}})}^{3}$
219871	Simplify	(112/7)^(-1/4)	${(\frac{112}{7})}^{- \frac{1}{4}}$
219872	Solve the Inequality for x	2x^2+20x+11>7x+5	$2 x^{2} + 20 x + 11 > 7 x + 5$
219873	Find the Product	(a^2-2)(a^4+2a^2+4)	$(a^{2} - 2) (a^{4} + 2 a^{2} + 4)$
219874	Simplify	fourth root of (x^2+2x+1)^2	$\sqrt[4]{{(x^{2} + 2 x + 1)}^{2}}$
219875	Determine if True	(sin(theta))/(cos(theta))+(cos(theta))/(sin(theta))=csc(theta)sec(theta)	$\frac{\sin (θ)}{\cos (θ)} + \frac{\cos (θ)}{\sin (θ)} = \csc (θ) \sec (θ)$
219876	Graph	y=1+5/2 square root of x-1	$y = 1 + \frac{5}{2} \sqrt{x - 1}$
219877	Simplify	((6x^2+4x-2)/(3x^2-19x+20))÷((2x^2-4x-6)/(3x^2-7x+4))	$\frac{6 x^{2} + 4 x - 2}{3 x^{2} - 19 x + 20} \div \frac{2 x^{2} - 4 x - 6}{3 x^{2} - 7 x + 4}$
219878	Find the Exact Value	((3^-6)/(7^-3))^5	${(\frac{3^{- 6}}{7^{- 3}})}^{5}$
219879	Solve for y	7/2=3/y-4	$\frac{7}{2} = \frac{3}{y} - 4$
219880	Divide	( square root of 7)/( square root of 3- square root of 2)	$\frac{\sqrt{7}}{\sqrt{3} - \sqrt{2}}$
219881	Combine Like Terms	15x-(x-4)	$15 x - (x - 4)$
219882	Simplify	(x^2+9x+20)/(8x+16)*(4x^2+16x+16)/(x^2-25)	$\frac{x^{2} + 9 x + 20}{8 x + 16} \cdot \frac{4 x^{2} + 16 x + 16}{x^{2} - 25}$
219883	Solve the System of Inequalities	3x+1<5x+7 and -2x+5<=-5x-10	$3 x + 1 < 5 x + 7$ and $- 2 x + 5 \leq - 5 x - 10$
219884	Solve the Absolute Value Inequality for x	(2\|x-3\|)/5=6	$\frac{2 \| x - 3 \|}{5} = 6$
219885	Find the Inverse	f(x)=3/4 square root of x+1	$f (x) = \frac{3}{4} \sqrt{x + 1}$
219886	Simplify	m cube root of 192m^5	$m \sqrt[3]{192 m^{5}}$
219887	Evaluate Using the Given Value	Evaluate 7j+5-8k when j=0.5 and k=0.25	Evaluate $7 j + 5 - 8 k$ when $j = 0.5$ and $k = 0.25$
219888	Write in Standard Form	y=1+2x^6-4x^2-2x^6	$y = 1 + 2 x^{6} - 4 x^{2} - 2 x^{6}$
219889	Find the Exact Value	pi/2+pi/4	$\frac{π}{2} + \frac{π}{4}$
219890	Solve for h	A=1/2h(b_1+b_2) for h	$A = \frac{1}{2} h (b_{1} + b_{2})$ for $h$
219891	Write in Standard Form	(7-3i)+(x-2i)^2-(4i+2x^2)	$(7 - 3 i) + {(x - 2 i)}^{2} - (4 i + 2 x^{2})$
219892	Solve for y	y=5.45+1.05(x+7)	$y = 5.45 + 1.05 (x + 7)$
219893	Write in y=mx+b Form	(-8,8) and (1,-10)	$(- 8, 8)$ and $(1, - 10)$
219894	Find the GCF	(5x)/12	$\frac{5 x}{12}$
219895	Simplify	(x+3)/4+(x+2)/4	$\frac{x + 3}{4} + \frac{x + 2}{4}$
219896	Solve for x	x+3 = square root of -20+12x+3	$x + 3 = \sqrt{- 20 + 12 x} + 3$
219897	Write in Exponential Form	sixth root of 27^2	$\sqrt[6]{27^{2}}$
219898	Solve for x	x-2(x+1)+3(x+2)=x-4	$x - 2 (x + 1) + 3 (x + 2) = x - 4$
219899	Factor	16x^2y-4xy^2-5x^2y+10xy^2	$16 x^{2} y - 4 x y^{2} - 5 x^{2} y + 10 x y^{2}$
219900	Simplify	square root of cube root of 8r^3	$\sqrt{\sqrt[3]{8 r^{3}}}$