Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
204101	Multiply	(2x^2-y)(x^2+y)	$(2 x^{2} - y) (x^{2} + y)$
204102	Write as a Single Logarithm	7* log base 5 of x+3* log base 5 of y^4	$7 \cdot \log_{5} (x) + 3 \cdot \log_{5} (y^{4})$
204103	Graph	8x<24 and -8<=2x-4	$8 x < 24$ and $- 8 \leq 2 x - 4$
204104	Write as a Single Logarithm	1/2* log base 3 of 9x+3/2* log base 3 of 4x^3	$\frac{1}{2} \cdot \log_{3} (9 x) + \frac{3}{2} \cdot \log_{3} (4 x^{3})$
204105	Find the Inverse	y=-6+(x+10)^2	$y = - 6 + {(x + 10)}^{2}$
204106	Simplify the Radical Expression	square root of z* square root of 30z^2* square root of 35z^3	$\sqrt{z} \cdot \sqrt{30 z^{2}} \cdot \sqrt{35 z^{3}}$
204107	Solve for b	(b^2)^0=b^8	${(b^{2})}^{0} = b^{8}$
204108	Solve the System of Equations	7y+13=-5x 5x=8y-28	$7 y + 13 = - 5 x$ $5 x = 8 y - 28$
204109	Evaluate	2(3a^2)^3	$2 {(3 a^{2})}^{3}$
204110	Solve for p	1+8p-4p+5=2(p-3)-2(p-2)	$1 + 8 p - 4 p + 5 = 2 (p - 3) - 2 (p - 2)$
204111	Find the Quotient	(x^2-5x+2)÷(x-3)	$(x^{2} - 5 x + 2) \div (x - 3)$
204112	Solve for m	square root of m-4=3	$\sqrt{m - 4} = 3$
204113	Find the First Term	a_n=((n+2)!)/((n+3)!)	$a_{n} = \frac{(n + 2)!}{(n + 3)!}$
204114	Simplify	4m^-4np^-9	$4 m^{- 4} n p^{- 9}$
204115	Simplify	5(7x-8(1+x))	$5 (7 x - 8 (1 + x))$
204116	Write in Standard Form	(-7-i)/(-8+i)	$\frac{- 7 - i}{- 8 + i}$
204117	Solve for x	square root of 6-2x+x=2(x+15)-9	$\sqrt{6 - 2 x} + x = 2 (x + 15) - 9$
204118	Solve for x	square root of 9x+1 = square root of 10x+9	$\sqrt{9 x} + 1 = \sqrt{10 x + 9}$
204119	Simplify	(a^-1+b^-1)/(a^-2b^-2)	$\frac{(a^{- 1} + b^{- 1})}{a^{- 2} b^{- 2}}$
204120	Simplify	(5 square root of 63)÷6 square root of 7	$5 \sqrt{63} \div 6 \sqrt{7}$
204121	Find the x and y Intercepts	y = log of 3x+4+2	$y = \log (3 x + 4) + 2$
204122	Solve for x	12^(2x-1)=( fourth root of 12)^x	$12^{2 x - 1} = {(\sqrt[4]{12})}^{x}$
204123	Simplify	square root of 2* square root of 2^3	$\sqrt{2} \cdot \sqrt{2^{3}}$
204124	Solve the System of Inequalities	3x+2y>=-2 x+2y<=2	$3 x + 2 y \geq - 2$ $x + 2 y \leq 2$
204125	Subtract	2/(x+3)-3/(x^2-9)	$\frac{2}{x + 3} - \frac{3}{x^{2} - 9}$
204126	Simplify the Radical Expression	1/(( fourth root of 5x)^5)	$\frac{1}{{(\sqrt[4]{5 x})}^{5}}$
204127	Solve for x	(b-a)/(a-c)=x/(c-a)	$\frac{b - a}{a - c} = \frac{x}{c - a}$
204128	Simplify	((x^2+2x+1)/(x+1))÷((x-1)/(x^2-1))	$\frac{x^{2} + 2 x + 1}{x + 1} \div \frac{x - 1}{x^{2} - 1}$
204129	Solve for x	-4(2-x)=4x-8	$- 4 (2 - x) = 4 x - 8$
204130	Simplify	( cube root of x)/( sixth root of x^5)	$\frac{\sqrt[3]{x}}{\sqrt[6]{x^{5}}}$
204131	Find the Roots (Zeros)	16x^2+16=0	$16 x^{2} + 16 = 0$
204132	Simplify	( cube root of -16)^3	${(\sqrt[3]{- 16})}^{3}$
204133	Find the Product	(3m-2n^2)^2	${(3 m - 2 n^{2})}^{2}$
204134	Graph	y=x!	$y = x!$
204135	Simplify	(24a^3b^2-16a^2b^3)/(8ab)	$\frac{24 a^{3} b^{2} - 16 a^{2} b^{3}}{8 a b}$
204136	Solve for x	125^(2x)=(1/5)^(-2x^2-4)	$125^{2 x} = {(\frac{1}{5})}^{- 2 x^{2} - 4}$
204137	Solve for x	\|2x\|=\|x+3\|	$\| 2 x \| = \| x + 3 \|$
204138	Solve the System of Equations	y=1/2x+1 y=x-1	$y = \frac{1}{2} x + 1$ $y = x - 1$
204139	Simplify	( square root of 35x^4)/( square root of 7x^4)	$\frac{\sqrt{35 x^{4}}}{\sqrt{7 x^{4}}}$
204140	Find the Domain and Range	1/(\|x\|-3)	$\frac{1}{\| x \| - 3}$
204141	Solve for y	(2y)/3-1/6=7/2	$\frac{2 y}{3} - \frac{1}{6} = \frac{7}{2}$
204142	Write the Fraction in Simplest Form	(2(a^4)^2)/(6a)	$\frac{2 {(a^{4})}^{2}}{6 a}$
204143	Evaluate	((3^9)/(3^-5))	$(\frac{3^{9}}{3^{- 5}})$
204144	Graph	y>=4x y<x+2	$y \geq 4 x$ $y < x + 2$
204145	Simplify	(2t(t+1))/(t-1)-(3+t)/(t-1)	$\frac{2 t (t + 1)}{t - 1} - \frac{(3 + t)}{t - 1}$
204146	Graph	f(x)=cos(1/2)(x-pi/2)-1	$f (x) = \cos (\frac{1}{2}) (x - \frac{π}{2}) - 1$
204147	Solve for y	y=(7/8)^3	$y = {(\frac{7}{8})}^{3}$
204148	Simplify	(4 square root of 3)÷3 square root of 3	$4 \sqrt{3} \div 3 \sqrt{3}$
204149	Simplify	-4d(5d^2-12)+7(d+5)	$- 4 d (5 d^{2} - 12) + 7 (d + 5)$
204150	Solve for x	2^(x^2)1/2-3^(x^2)=3^(x^2)1/3-2^(x^2)*4	$2^{x^{2}} \cdot \frac{1}{2} - 3^{x^{2}} = 3^{x^{2}} \cdot \frac{1}{3} - 2^{x^{2}} \cdot 4$
204151	Evaluate	(2x^2+7x)+(-x^2+10x+3)	$(2 x^{2} + 7 x) + (- x^{2} + 10 x + 3)$
204152	Evaluate	(11(-8)^(2/3))/7	$\frac{11 {(- 8)}^{\frac{2}{3}}}{7}$
204153	Simplify	seventh root of a-3 seventh root of a+5 seventh root of a	$\sqrt[7]{a} - 3 \sqrt[7]{a} + 5 \sqrt[7]{a}$
204154	Solve for z	square root of z-3=11- square root of z+8	$\sqrt{z - 3} = 11 - \sqrt{z + 8}$
204155	Solve for x	-3/2x^2=x+1	$- \frac{3}{2} x^{2} = x + 1$
204156	Simplify	((3rt)^2u^-4)/(r^-1t^2u^7)	$\frac{{(3 r t)}^{2} u^{- 4}}{r^{- 1} t^{2} u^{7}}$
204157	Evaluate	(100-(3*4)^2)/(2^2)	$\frac{100 - {(3 \cdot 4)}^{2}}{2^{2}}$
204158	Simplify	(6x+3x^3-5)-(5x^3+2x^2-3x-8)	$(6 x + 3 x^{3} - 5) - (5 x^{3} + 2 x^{2} - 3 x - 8)$
204159	Simplify	(1-2m^3+2m^4)-(5m^3+7-7m^4)	$(1 - 2 m^{3} + 2 m^{4}) - (5 m^{3} + 7 - 7 m^{4})$
204160	Solve for x	12+x-8=3+2x	$12 + x - 8 = 3 + 2 x$
204161	Simplify	(v^2-4v)/(5v^2+9v-2)-(2v+16)/(5v^2+9v-2)	$\frac{v^{2} - 4 v}{5 v^{2} + 9 v - 2} - \frac{2 v + 16}{5 v^{2} + 9 v - 2}$
204162	Simplify	( square root of 5+3)/(4- square root of 5)	$\frac{\sqrt{5} + 3}{4 - \sqrt{5}}$
204163	Multiply	1/255	$\frac{1}{2} \cdot 5 \cdot 5$
204164	Evaluate	2x^3y^-3*2x^-1y^3	$2 x^{3} y^{- 3} \cdot 2 x^{- 1} y^{3}$
204165	Simplify	((a^2+ax+x^2)/(ax+2ay))÷((a^3-x^3)/(bx+2by))	$\frac{a^{2} + a x + x^{2}}{a x + 2 a y} \div \frac{a^{3} - x^{3}}{b x + 2 b y}$
204166	Rationalize the Denominator	(5- square root of 21)/( square root of 3- square root of 7)	$\frac{5 - \sqrt{21}}{\sqrt{3} - \sqrt{7}}$
204167	Simplify	(6-8i)-(4i)+7	$(6 - 8 i) - (4 i) + 7$
204168	Simplify	(m^(3/4)n)^-2	${(m^{\frac{3}{4}} n)}^{- 2}$
204169	Simplify	(6^2)/((6^-2)^4)	$\frac{6^{2}}{{(6^{- 2})}^{4}}$
204170	Solve for x	xy-5x-7y+35=0	$x y - 5 x - 7 y + 35 = 0$
204171	Solve for y	3(5y-1)^(1/3)-2=0	$3 {(5 y - 1)}^{\frac{1}{3}} - 2 = 0$
204172	Solve the Inequality for x	cube root of x+7>=3	$\sqrt[3]{x + 7} \geq 3$
204173	Simplify	x-6<=3	$x - 6 \leq 3$
204174	Simplify the Radical Expression	square root of 2 square root of 8	$\sqrt{2} \sqrt{8}$
204175	Solve for z	n=wSz ; for z	$n = w S z$ ; for $z$
204176	Solve for j	-8j-13=14j+15-18j	$- 8 j - 13 = 14 j + 15 - 18 j$
204177	Graph	y=(x^2-5)(x-1)^2(x-2)^3	$y = (x^{2} - 5) {(x - 1)}^{2} {(x - 2)}^{3}$
204178	Solve for j	-12j+6j+18=-20-4j	$- 12 j + 6 j + 18 = - 20 - 4 j$
204179	Simplify	3x^2((3x-6)/x)	$3 x^{2} (\frac{3 x - 6}{x})$
204180	Divide	((10x-8)/(x+2))÷((25x^2-16)/(2x-4))	$\frac{10 x - 8}{x + 2} \div \frac{25 x^{2} - 16}{2 x - 4}$
204181	Solve for r	square root of 3r+7=7	$\sqrt{3 r + 7} = 7$
204182	Find the Degree, Leading Term, and Leading Coefficient	1/3+x^3	$\frac{1}{3} + x^{3}$
204183	Solve for z	Ag((3k)/2-z)=mgz	$A g (\frac{3 k}{2} - z) = mg z$
204184	Solve for p	square root of -10+7p=p	$\sqrt{- 10 + 7 p} = p$
204185	Simplify	(x^3-2x^2+3x+1)+(x^4-7x)	$(x^{3} - 2 x^{2} + 3 x + 1) + (x^{4} - 7 x)$
204186	Simplify	(x^-1*y^2)^3	${(x^{- 1} \cdot y^{2})}^{3}$
204187	Write in Standard Form	(X^2-3x+4)+(X^3+3x-4)	$(X^{2} - 3 x + 4) + (X^{3} + 3 x - 4)$
204188	Solve the Inequality for n	n-5>12	$n - 5 > 12$
204189	Simplify	3x square root of 25x^3-x square root of 4x^3+3x square root of 9x^3	$3 x \sqrt{25 x^{3}} - x \sqrt{4 x^{3}} + 3 x \sqrt{9 x^{3}}$
204190	Solve for x	square root of 11-x^2-2/( square root of 11-x^2)=1	$\sqrt{11 - x^{2}} - \frac{2}{\sqrt{11 - x^{2}}} = 1$
204191	Simplify	fourth root of 10^5* fourth root of 10	$\sqrt[4]{10^{5}} \cdot \sqrt[4]{10}$
204192	Solve for x	1/4x-1/5(x-6)=5x	$\frac{1}{4} x - \frac{1}{5} (x - 6) = 5 x$
204193	Find the Degree, Leading Term, and Leading Coefficient	1/2-x+x^5	$\frac{1}{2} - x + x^{5}$
204194	Simplify	0.5(8*10^5)	$0.5 (8 \cdot 10^{5})$
204195	Simplify	(8x^5+6x^3-2x^2+10x)-(9x^5-x^3-13x^2+4)	$(8 x^{5} + 6 x^{3} - 2 x^{2} + 10 x) - (9 x^{5} - x^{3} - 13 x^{2} + 4)$
204196	Simplify	(-xy)^4*(-3x^-2)^3	${(- x y)}^{4} \cdot {(- 3 x^{- 2})}^{3}$
204197	Solve for x	square root of 7 = square root of x-1	$\sqrt{7} = \sqrt{x - 1}$
204198	Determine if a Polynomial	(a^4)/7+a^3-9a^5	$\frac{a^{4}}{7} + a^{3} - 9 a^{5}$
204199	Find the Degree, Leading Term, and Leading Coefficient	-(x^4)/5+5x^3-10	$- \frac{x^{4}}{5} + 5 x^{3} - 10$
204200	Solve the Inequality for x	5+x<2x-1	$5 + x < 2 x - 1$