Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
209801	Write the Fraction in Simplest Form	(2^8z^10)/(2^6z^3)	$\frac{2^{8} z^{10}}{2^{6} z^{3}}$
209802	Divide Using Synthetic Division	(x^4-5x+10)÷(x+3)	$(x^{4} - 5 x + 10) \div (x + 3)$
209803	Simplify	( square root of 21)/3*2	$\frac{\sqrt{21}}{3} \cdot 2$
209804	Simplify the Radical Expression	square root of 4* square root of 6	$\sqrt{4} \cdot \sqrt{6}$
209805	Simplify	((y^2-5y+4)/(y^2-1))÷((y^2-9)/(y^2+5y+4))	$\frac{y^{2} - 5 y + 4}{y^{2} - 1} \div \frac{y^{2} - 9}{y^{2} + 5 y + 4}$
209806	Find the Perpendicular Line	y=1 ; passing through (2,10)	$y = 1$ ; passing through $(2, 10)$
209807	Solve for x	6e^(3x)=15x^2	$6 e^{3 x} = 15 x^{2}$
209808	Simplify the Radical Expression	cube root of (y^2)/(y^(4/5))	$\sqrt[3]{\frac{y^{2}}{y^{\frac{4}{5}}}}$
209809	Find the Degree, Leading Term, and Leading Coefficient	(x^4)/5+1	$\frac{x^{4}}{5} + 1$
209810	Solve for x	x(x^2-13)(x^2+25)=0	$x (x^{2} - 13) (x^{2} + 25) = 0$
209811	Evaluate	5/9(80-32)	$\frac{5}{9} (80 - 32)$
209812	Evaluate	(b^2)^a=b^8	${(b^{2})}^{a} = b^{8}$
209813	Simplify	( fourth root of 32x^16)/( cube root of 27y^4)	$\frac{\sqrt[4]{32 x^{16}}}{\sqrt[3]{27 y^{4}}}$
209814	Solve for x	2(4x+1)(x-1)+3=0	$2 (4 x + 1) (x - 1) + 3 = 0$
209815	Find the Exact Value	arcsin(sin((13pi)/4))	$\arcsin (\sin (\frac{13 π}{4}))$
209816	Multiply	(3x-4)(5-2x)(4x+1)	$(3 x - 4) (5 - 2 x) (4 x + 1)$
209817	Solve for x	( square root of 2x+7)/4=3	$\frac{\sqrt{2 x} + 7}{4} = 3$
209818	Solve the Rational Equation for x	cube root of x=2	$\sqrt[3]{x} = 2$
209819	Solve for x	-2 cube root of 2x+5+7=15	$- 2 \sqrt[3]{2 x + 5} + 7 = 15$
209820	Solve for x	-4(x+2)+x=3x-8-5x	$- 4 (x + 2) + x = 3 x - 8 - 5 x$
209821	Solve the System of Inequalities	y<2x+2 y>=-x-1	$y < 2 x + 2$ $y \geq - x - 1$
209822	Simplify	(x^3z^0)/((2y^3z^0)^4)	$\frac{x^{3} z^{0}}{{(2 y^{3} z^{0})}^{4}}$
209823	Solve for a	8^a=1	$8^{a} = 1$
209824	Solve for x	3x-2y=18 for x	$3 x - 2 y = 18$ for $x$
209825	Simplify	(5 square root of 2)÷2	$5 \sqrt{2} \div 2$
209826	Simplify the Radical Expression	( fourth root of v^6)/( seventh root of v^5)	$\frac{\sqrt[4]{v^{6}}}{\sqrt[7]{v^{5}}}$
209827	Solve for x	x^2*4x+4=0	$x^{2} \cdot 4 x + 4 = 0$
209828	Divide Using Synthetic Division	(-15x^5+10x^4+15x^2-37x+18)÷(3x-2)	$(- 15 x^{5} + 10 x^{4} + 15 x^{2} - 37 x + 18) \div (3 x - 2)$
209829	Solve for x	2xy+6y=0	$2 x y + 6 y = 0$
209830	Simplify	a/(2x+4)-a/(3x+6)	$\frac{a}{2 x + 4} - \frac{a}{3 x + 6}$
209831	Graph Using a Table of Values	f(x)=4*(2/3)^x+1	$f (x) = 4 \cdot {(\frac{2}{3})}^{x} + 1$
209832	Solve the System of Equations	y=-5x x+3y=28	$y = - 5 x$ $x + 3 y = 28$
209833	Simplify the Radical Expression	-( cube root of 3)/( cube root of 5)	$- \frac{\sqrt[3]{3}}{\sqrt[3]{5}}$
209834	Solve for c	(3c)/(c^2-4)+1/(c-2)=2/(c+2)	$\frac{3 c}{c^{2} - 4} + \frac{1}{c - 2} = \frac{2}{c + 2}$
209835	Solve Using the Quadratic Formula	x+2x^2-4=-7x+6	$x + 2 x^{2} - 4 = - 7 x + 6$
209836	Graph	x+2y>4 2x-y<=6	$x + 2 y > 4$ $2 x - y \leq 6$
209837	Solve for x	3(1/4)^(x+1)<192	$3 {(\frac{1}{4})}^{x + 1} < 192$
209838	Solve the Inequality for x	4x^3+10x^2-24x<0	$4 x^{3} + 10 x^{2} - 24 x < 0$
209839	Multiply	2x2x2x	$2 x \cdot 2 x \cdot 2 x$
209840	Write in Standard Form	5a+3-4a^2+2a^3	$5 a + 3 - 4 a^{2} + 2 a^{3}$
209841	Find the x and y Intercepts	(x+3)y=14	$(x + 3) y = 14$
209842	Simplify	(3a^2-a+2)+(-3a^2+3a-1)-(a^2-1)	$(3 a^{2} - a + 2) + (- 3 a^{2} + 3 a - 1) - (a^{2} - 1)$
209843	Simplify	b^0c^0	$b^{0} c^{0}$
209844	Evaluate	8+(n-4)	$8 + (n - 4)$
209845	Simplify	5+2^3+2(6-2(9-7))	$5 + 2^{3} + 2 (6 - 2 (9 - 7))$
209846	Find All Complex Solutions	\|x\|+3=0	$\| x \| + 3 = 0$
209847	Simplify	-6/(8+ square root of 14)	$\frac{- 6}{8 + \sqrt{14}}$
209848	Evaluate	cube root of 2x+5=5	$\sqrt[3]{2 x + 5} = 5$
209849	Simplify the Radical Expression	6k square root of 12k	$6 k \sqrt{12 k}$
209850	Solve for f	5^0*5^f=5^4	$5^{0} \cdot 5^{f} = 5^{4}$
209851	Factor by Grouping	x-y-xy+x^2	$x - y - x y + x^{2}$
209852	Evaluate	20% of 75	$20 %$ of $75$
209853	Find the Domain and Range	g(x) = square root of 1/3(x+4)-1	$g (x) = \sqrt{\frac{1}{3} (x + 4)} - 1$
209854	Solve for x	y = square root of ax+b	$y = \sqrt{a x} + b$
209855	Simplify	4cd(2c^60d^4)^0	$4 c d {(2 c^{60} d^{4})}^{0}$
209856	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	$\sqrt{8} - \sqrt{32} - \sqrt{18} = 2 \sqrt{a} - 4 \sqrt{a} - 3 \sqrt{a}$
209857	Simplify the Radical Expression	fourth root of 5/(x^3y^8)	$\sqrt[4]{\frac{5}{x^{3} y^{8}}}$
209858	Find the Domain and Range	g(x)=-3sec(2x+4)-1	$g (x) = - 3 \sec (2 x + 4) - 1$
209859	Find the Quotient	(x^5-x^3+x-5)÷(x-2)	$(x^{5} - x^{3} + x - 5) \div (x - 2)$
209860	Solve for c	34c-14c+3=7	$34 c - 14 c + 3 = 7$
209861	Simplify	( square root of 2/5)( square root of 9/2)( square root of 10/3)	$(\sqrt{\frac{2}{5}}) (\sqrt{\frac{9}{2}}) (\sqrt{\frac{10}{3}})$
209862	Simplify	(2x+5)/3-5/x	$\frac{2 x + 5}{3} - \frac{5}{x}$
209863	Simplify	(-14/36)(-(6s)/112)	$(- \frac{14}{36}) (- \frac{6 s}{112})$
209864	Simplify	3((x square root of x)/(x^-3))^(5/3)	$3 {(\frac{x \sqrt{x}}{x^{- 3}})}^{\frac{5}{3}}$
209865	Solve the Inequality for x	e^(3x+4)>11	$e^{3 x + 4} > 11$
209866	Divide	( square root of 36x^6)/( square root of 9x^4)	$\frac{\sqrt{36 x^{6}}}{\sqrt{9 x^{4}}}$
209867	Graph	y<2x+4 -3x-2y>=6	$y < 2 x + 4$ $- 3 x - 2 y \geq 6$
209868	Evaluate	4(7-x)	$4 (7 - x)$
209869	Simplify	(64^(5/9)*64^(2/9))/(4^(3/4))	$\frac{64^{\frac{5}{9}} \cdot 64^{\frac{2}{9}}}{4^{\frac{3}{4}}}$
209870	Write in Standard Form	(3a+2b-7)-(4b-10)	$(3 a + 2 b - 7) - (4 b - 10)$
209871	Simplify	Simplify 2 natural log of x+2- natural log of x+2- natural log of 2-3	Simplify $2 \ln (x + 2) - \ln (x + 2) - \ln (2) - 3$
209872	Simplify the Radical Expression	square root of 5*-4 square root of 20	$\sqrt{5} \cdot - 4 \sqrt{20}$
209873	Solve for x	8/(x^2)-16/x+2=0	$\frac{8}{x^{2}} - \frac{16}{x} + 2 = 0$
209874	Solve by Factoring	(x^2-7x-18)/(x+2)=x-9	$\frac{x^{2} - 7 x - 18}{x + 2} = x - 9$
209875	Simplify	-(-cb^7)^3	$- {(- c b^{7})}^{3}$
209876	Find the Midpoint	(6,8) and (12,10)	$(6, 8)$ and $(12, 10)$
209877	Solve for v	-3 = square root of -3-v-4	$- 3 = \sqrt{- 3 - v} - 4$
209878	Simplify	(x^2-4x-1)+(-5+5x^2-3x)	$(x^{2} - 4 x - 1) + (- 5 + 5 x^{2} - 3 x)$
209879	Find the Exact Value	16(1+0.09)^8	$16 {(1 + 0.09)}^{8}$
209880	Convert to Radical Form	5^(1/2)+5^(1/3)	$5^{\frac{1}{2}} + 5^{\frac{1}{3}}$
209881	Solve for x	(x+12)12=(4+8)8	$(x + 12) \cdot 12 = (4 + 8) \cdot 8$
209882	Solve for x	square root of (2x)/3=6	$\sqrt{\frac{2 x}{3}} = 6$
209883	Simplify	(2.5dr^2)/6+(3dr^2)/4	$\frac{2.5 d r^{2}}{6} + \frac{3 d r^{2}}{4}$
209884	Solve for z	4 = square root of z^2-9	$4 = \sqrt{z^{2} - 9}$
209885	Find the x and y Intercepts	y=(x-3)^2(x+2)^4	$y = {(x - 3)}^{2} {(x + 2)}^{4}$
209886	Solve for x	5^(-3x^2+15)=(1/25)^(-9x+33)	$5^{- 3 x^{2} + 15} = {(\frac{1}{25})}^{- 9 x + 33}$
209887	Simplify	sin(A)+(cos(A)^2)/(1+sin(A))	$\sin (A) + \frac{\cos^{2} (A)}{1 + \sin (A)}$
209888	Solve for x	2x^6=1458	$2 x^{6} = 1458$
209889	Simplify	((3gh^4)/(g^5h^2))^4	${(\frac{3 g h^{4}}{g^{5} h^{2}})}^{4}$
209890	Simplify the Radical Expression	square root of 12+2 square root of 18-4 square root of 27	$\sqrt{12} + 2 \sqrt{18} - 4 \sqrt{27}$
209891	Solve the Inequality for y	y+42>97	$y + 42 > 97$
209892	Solve for x	(40x)÷10=28	$40 x \div 10 = 28$
209893	Solve for x	1/( square root of x+3) = square root of -2x	$\frac{1}{\sqrt{x + 3}} = \sqrt{- 2 x}$
209894	Solve the Inequality for h	h+12<15	$h + 12 < 15$
209895	Solve for x	6/7x+4/14x=48/14	$\frac{6}{7} x + \frac{4}{14} x = \frac{48}{14}$
209896	Simplify	(x^2+x+2)/(x+4)-(2x+22)/(x+4)	$\frac{x^{2} + x + 2}{x + 4} - \frac{2 x + 22}{x + 4}$
209897	Simplify	((a^(2/5))/(b^(1/5)))^5	${(\frac{a^{\frac{2}{5}}}{b^{\frac{1}{5}}})}^{5}$
209898	Simplify	square root of x^17* square root of x^11	$\sqrt{x^{17}} \cdot \sqrt{x^{11}}$
209899	Evaluate	2/(2-x)+3/(x+2)=(2x)/(x^2-4)	$\frac{2}{2 - x} + \frac{3}{x + 2} = \frac{2 x}{x^{2} - 4}$
209900	Evaluate	y/(y-4)-4/(y+4)=32/(y^2-16)	$\frac{y}{y - 4} - \frac{4}{y + 4} = \frac{32}{y^{2} - 16}$