Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
199701	Graph	3x>=12-6y	$3 x \geq 12 - 6 y$
199702	Solve the Inequality for x	(x^2-4)/(x^2+36)>=0	$\frac{x^{2} - 4}{x^{2} + 36} \geq 0$
199703	Simplify	(5c^2d^3)/(-4c^2d)	$\frac{5 c^{2} d^{3}}{- 4 c^{2} d}$
199704	Simplify	8 square root of 3x* square root of 15x	$8 \sqrt{3 x} \cdot \sqrt{15 x}$
199705	Multiply	square root of 6x* square root of 15xy* square root of 20	$\sqrt{6 x} \cdot \sqrt{15 x y} \cdot \sqrt{20}$
199706	Solve for a	A=1/2(a+b)h	$A = \frac{1}{2} (a + b) h$
199707	Simplify	(6y)/( square root of 2x)	$\frac{6 y}{\sqrt{2 x}}$
199708	Simplify	(-15w^0u^-1)/(5u^3)	$\frac{- 15 w^{0} u^{- 1}}{5 u^{3}}$
199709	Simplify	((16x^6y^8)^(1/2))/((81x^12y^4)^(3/4))	$\frac{{(16 x^{6} y^{8})}^{\frac{1}{2}}}{{(81 x^{12} y^{4})}^{\frac{3}{4}}}$
199710	Simplify	(a^6+b^6)÷(a^2+b^2)	$(a^{6} + b^{6}) \div (a^{2} + b^{2})$
199711	Simplify the Radical Expression	( fourth root of 4)/( fourth root of 27)	$\frac{\sqrt[4]{4}}{\sqrt[4]{27}}$
199712	Find the Roots (Zeros)	3x(x+4)(x-6)=0	$3 x (x + 4) (x - 6) = 0$
199713	Divide	(1/7m^3n^2-2/5m^4n+3/8m^2n^2)÷(1/4m^2n)	$(\frac{1}{7} m^{3} n^{2} - \frac{2}{5} m^{4} n + \frac{3}{8} m^{2} n^{2}) \div (\frac{1}{4} m^{2} n)$
199714	Solve for x	(2x-3)(5x+1)=2x+2/5	$(2 x - 3) (5 x + 1) = 2 x + \frac{2}{5}$
199715	Simplify	0.7 square root of 300	$0.7 \sqrt{300}$
199716	Solve for x	square root of 3x-1- square root of x+5=0	$\sqrt{3 x - 1} - \sqrt{x + 5} = 0$
199717	Simplify	( square root of 44a^2b)/( square root of 11b^7c^4)	$\frac{\sqrt{44 a^{2} b}}{\sqrt{11 b^{7} c^{4}}}$
199718	Simplify the Radical Expression	square root of 81a^7b^12c^9	$\sqrt{81 a^{7} b^{12} c^{9}}$
199719	Convert to Radical Form	-(3k^3)^(-2/7)	$- {(3 k^{3})}^{- \frac{2}{7}}$
199720	Simplify	(64-m^3)/((4-m)^3)	$\frac{64 - m^{3}}{{(4 - m)}^{3}}$
199721	Simplify	1/( square root of 3ab)	$\frac{1}{\sqrt{3 a b}}$
199722	Simplify	( square root of 27)/( square root of 3^3)	$\frac{\sqrt{27}}{\sqrt{3^{3}}}$
199723	Solve the Inequality for x	2 square root of x+3<=8	$2 \sqrt{x} + 3 \leq 8$
199724	Factor	4y-10xy+35x-14	$4 y - 10 x y + 35 x - 14$
199725	Simplify	(m+1-1/(1-m))÷(m-(m^2)/(m-1))	$(m + 1 - \frac{1}{1 - m}) \div (m - \frac{m^{2}}{m - 1})$
199726	Solve for x	3x(2x-1)-12(2x-1)=0	$3 x \cdot (2 x - 1) - 12 \cdot (2 x - 1) = 0$
199727	Simplify	7-5x+6+3y-5+x-2y	$7 - 5 x + 6 + 3 y - 5 + x - 2 y$
199728	Solve for x	square root of x+3-x=3	$\sqrt{x + 3} - x = 3$
199729	Simplify	cube root of -64/(x^6)	$\sqrt[3]{\frac{- 64}{x^{6}}}$
199730	Simplify	cube root of 3/(4k)	$\sqrt[3]{\frac{3}{4 k}}$
199731	Simplify	(cos(A)+cos(B))/(sin(A)-sin(B))+(sin(A)+sin(B))/(cos(A)-cos(B))	$\frac{\cos (A) + \cos (B)}{\sin (A) - \sin (B)} + \frac{\sin (A) + \sin (B)}{\cos (A) - \cos (B)}$
199732	Solve the System of Equations	y=1/3x+2 y=2/3x+5	$y = \frac{1}{3} x + 2$ $y = \frac{2}{3} x + 5$
199733	Solve for Z	26=21+1/7Z	$26 = 21 + \frac{1}{7} Z$
199734	Solve for x	3(x+4)^2=10x+32	$3 {(x + 4)}^{2} = 10 x + 32$
199735	Solve the System of Inequalities	y<4x+2 y<-1.5x-3	$y < 4 x + 2$ $y < - 1.5 x - 3$
199736	Simplify	(4y)/( square root of 2x^4y)	$\frac{4 y}{\sqrt{2 x^{4} y}}$
199737	Simplify	5x^4y^2 square root of 4/25x^20y^30	$5 x^{4} y^{2} \sqrt{\frac{4}{25} x^{20} y^{30}}$
199738	Solve for a	square root of a/3=3	$\sqrt{\frac{a}{3}} = 3$
199739	Simplify	(2a^3)^4(a^3)^3	${(2 a^{3})}^{4} {(a^{3})}^{3}$
199740	Solve for m	7+7m-3=2m-1	$7 + 7 m - 3 = 2 m - 1$
199741	Solve for x	3/4x+1/4=-1/2x-3	$\frac{3}{4} x + \frac{1}{4} = - \frac{1}{2} x - 3$
199742	Factor	x^3y^2-x^2y^3-xy^2+y^3	$x^{3} y^{2} - x^{2} y^{3} - x y^{2} + y^{3}$
199743	Write in Standard Form	(5w^3-w+2w^2+4)+(3w^2+1-4w)	$(5 w^{3} - w + 2 w^{2} + 4) + (3 w^{2} + 1 - 4 w)$
199744	Simplify	fourth root of (7x^3)/(4b^2)	$\sqrt[4]{\frac{7 x^{3}}{4 b^{2}}}$
199745	Simplify	5p+25-3p-6+p+1	$5 p + 25 - 3 p - 6 + p + 1$
199746	Simplify	3(11^(1/4))+9(11^(1/4))	$3 (11^{\frac{1}{4}}) + 9 (11^{\frac{1}{4}})$
199747	Simplify the Radical Expression	2 cube root of -54	$2 \sqrt[3]{- 54}$
199748	Simplify	square root of (x+5)^6	$\sqrt{{(x + 5)}^{6}}$
199749	Simplify	3 cube root of 5y^3*2 cube root of 50y^4	$3 \sqrt[3]{5 y^{3}} \cdot 2 \sqrt[3]{50 y^{4}}$
199750	Find the Intersection	y<=-3x+1 y>=-1/4x+6	$y \leq - 3 x + 1$ $y \geq - \frac{1}{4} x + 6$
199751	Simplify	3x+5x-2-3	$3 x + 5 x - 2 - 3$
199752	Solve the Inequality for x	1/81<9^(2x-4)	$\frac{1}{81} < 9^{2 x - 4}$
199753	Evaluate	a/6-10=a/3	$\frac{a}{6} - 10 = \frac{a}{3}$
199754	Simplify	square root of 2( square root of 8-3)	$\sqrt{2} (\sqrt{8} - 3)$
199755	Solve for c	3/4c-1/4c+3=7	$\frac{3}{4} c - \frac{1}{4} c + 3 = 7$
199756	Simplify	((m^7m)/(z^2m^3))^2	${(\frac{m^{7} \cdot m}{z^{2} \cdot m^{3}})}^{2}$
199757	Simplify	(3x)/(4y) square root of x^3y^4	$\frac{3 x}{4 y} \sqrt{x^{3} y^{4}}$
199758	Simplify	(4 square root of 2)/( square root of 20p)	$\frac{4 \sqrt{2}}{\sqrt{20 p}}$
199759	Simplify	1/4b+4/3b+7/12	$\frac{1}{4} b + \frac{4}{3} b + \frac{7}{12}$
199760	Rationalize the Denominator	(2 square root of 8x)/(3 square root of 6)	$\frac{2 \sqrt{8 x}}{3 \sqrt{6}}$
199761	Evaluate	1 2/3÷(11*1 2/11-8)	$1 \frac{2}{3} \div (11 \cdot 1 \frac{2}{11} - 8)$
199762	Simplify	(2x^3)/( cube root of x)	$\frac{2 x^{3}}{\sqrt[3]{x}}$
199763	Evaluate	((202^4-122^3-48*2^2)^2)÷((-8)^3)	${(20 \cdot 2^{4} - 12 \cdot 2^{3} - 48 \cdot 2^{2})}^{2} \div {(- 8)}^{3}$
199764	Solve for b	3b+10=-5-2b+8b	$3 b + 10 = - 5 - 2 b + 8 b$
199765	Simplify	( square root of 5n)/(2 square root of 15n^4)	$\frac{\sqrt{5 n}}{2 \sqrt{15 n^{4}}}$
199766	Evaluate	(x+10)^5=70	${(x + 10)}^{5} = 70$
199767	Solve the System of Equations	A+C=0 -3A+B-2C=0 2A-2B+C=1	$A + C = 0$ $- 3 A + B - 2 C = 0$ $2 A - 2 B + C = 1$
199768	Simplify	(-2x^2+x+1)-(x^2-x+7)-(4x^2+2x+8)	$(- 2 x^{2} + x + 1) - (x^{2} - x + 7) - (4 x^{2} + 2 x + 8)$
199769	Write in Standard Form	(12+8k^3+3k-4k^2)+(5k^3+15-k+2k^2)	$(12 + 8 k^{3} + 3 k - 4 k^{2}) + (5 k^{3} + 15 - k + 2 k^{2})$
199770	Solve for x	cube root of 2x+3+5=0	$\sqrt[3]{2 x + 3} + 5 = 0$
199771	Simplify	-1^-5y^2	$- 1^{- 5} y^{2}$
199772	Solve for F	F/H=M	$\frac{F}{H} = M$
199773	Simplify	(a^2)/(5(a-b))-(b^2)/(4(a-b))	$\frac{a^{2}}{5 (a - b)} - \frac{b^{2}}{4 (a - b)}$
199774	Simplify	( cube root of 3)^6	${(\sqrt[3]{3})}^{6}$
199775	Solve for y	10+8y-2=10y-8	$10 + 8 y - 2 = 10 y - 8$
199776	Solve for x	30*5^(x+3)=150	$30 \cdot 5^{x + 3} = 150$
199777	Solve for X	cube root of 2X=4	$\sqrt[3]{2 X} = 4$
199778	Solve for y	3 1/3(y+1 1/8)=6 11/12	$3 \frac{1}{3} (y + 1 \frac{1}{8}) = 6 \frac{11}{12}$
199779	Simplify	(72x^2)/(25y^5)*(-(2.5y^4)/(27x^5))	$\frac{72 x^{2}}{25 y^{5}} \cdot (- \frac{2.5 y^{4}}{27 x^{5}})$
199780	Simplify the Radical Expression	4 square root of 60a^6b	$4 \sqrt{60 a^{6} b}$
199781	Solve for c	-2+8c=-8+9c	$- 2 + 8 c = - 8 + 9 c$
199782	Solve the Inequality for x	(3+x)/4+(2-x)/3<0	$\frac{3 + x}{4} + \frac{2 - x}{3} < 0$
199783	Simplify	square root of square root of square root of x	$\sqrt{\sqrt{\sqrt{x}}}$
199784	Simplify	-3m^-2np^-4	$- 3 m^{- 2} n p^{- 4}$
199785	Simplify	(9 fifth root of 160x^8y^11)/(3 fifth root of 5xy^2)	$\frac{9 \sqrt[5]{160 x^{8} y^{11}}}{3 \sqrt[5]{5 x y^{2}}}$
199786	Simplify the Radical Expression	square root of 5* cube root of 5	$\sqrt{5} \cdot \sqrt[3]{5}$
199787	Simplify the Radical Expression	7 cube root of 2- cube root of 128	$7 \sqrt[3]{2} - \sqrt[3]{128}$
199788	Solve for x	x+(5x+2)^2=25(1+x^2)	$x + {(5 x + 2)}^{2} = 25 (1 + x^{2})$
199789	Simplify	fourth root of 81(x^4-16)^4	$\sqrt[4]{81 {(x^{4} - 16)}^{4}}$
199790	Simplify	(3a-1)/(a^2-b^2)-(3b-1)/(a^2-b^2)	$\frac{3 a - 1}{a^{2} - b^{2}} - \frac{3 b - 1}{a^{2} - b^{2}}$
199791	Simplify	((2x^3)/(3x^2))^-1	${(\frac{2 x^{3}}{3 x^{2}})}^{- 1}$
199792	Solve for d	-7d+8=-7+1-9d	$- 7 d + 8 = - 7 + 1 - 9 d$
199793	Solve for x	3- square root of 2x-1=6	$3 - \sqrt{2 x - 1} = 6$
199794	Simplify	8x+6y+4-4-6x+2y	$8 x + 6 y + 4 - 4 - 6 x + 2 y$
199795	Solve for x	square root of 2x+21 = square root of 2x+3	$\sqrt{2 x + 21} = \sqrt{2 x} + 3$
199796	Write in Standard Form	(7p^2+3p)-(5p^2+4)	$(7 p^{2} + 3 p) - (5 p^{2} + 4)$
199797	Simplify	2x square root of 3xy*4 square root of 2x^5y	$2 x \sqrt{3 x y} \cdot 4 \sqrt{2 x^{5} y}$
199798	Simplify	(5x^3y)^2(-2x^5y^1)	${(5 x^{3} y)}^{2} (- 2 x^{5} y^{1})$
199799	Solve for x	\|x\|+x=0	$\| x \| + x = 0$
199800	Simplify	(2ab)/(a^2-6ab+9b^2)*(a^2-9b^2)	$\frac{2 a b}{a^{2} - 6 a b + 9 b^{2}} \cdot (a^{2} - 9 b^{2})$