Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
204201	Solve the Rational Equation for x	9/(4x)-5/6=-13/(12x)	$\frac{9}{4 x} - \frac{5}{6} = - \frac{13}{12 x}$
204202	Solve the Inequality for x	square root of x^2-2x+1>=4	$\sqrt{x^{2} - 2 x + 1} \geq 4$
204203	Simplify	6x-4x^2-7x^3-9x^2-5x	$6 x - 4 x^{2} - 7 x^{3} - 9 x^{2} - 5 x$
204204	Simplify	(6/(5^3))^2	${(\frac{6}{5^{3}})}^{2}$
204205	Graph	y>-x y>=x	$y > - x$ $y \geq x$
204206	Simplify	(2(x^2-4))/(4-2x)	$\frac{2 (x^{2} - 4)}{4 - 2 x}$
204207	Solve for x	(1/7)^(-2x^2-8x)=343^(-4x-14)	${(\frac{1}{7})}^{- 2 x^{2} - 8 x} = 343^{- 4 x - 14}$
204208	Solve for x	3 square root of 3x+3x=0	$3 \sqrt{3 x} + 3 x = 0$
204209	Factor	x(a-b)-(b-a)	$x (a - b) - (b - a)$
204210	Multiply	cube root of 6* cube root of 36	$\sqrt[3]{6} \cdot \sqrt[3]{36}$
204211	Simplify	-8+5(12+-12)+8	$- 8 + 5 (12 + - 12) + 8$
204212	Solve for y	y-5/14=-1/7	$y - \frac{5}{14} = - \frac{1}{7}$
204213	Simplify	square root of 100x^3* cube root of 64x^10	$\sqrt{100 x^{3}} \cdot \sqrt[3]{64 x^{10}}$
204214	Solve for r	0.12+3.76r+0.16=3.6r-0.2	$0.12 + 3.76 r + 0.16 = 3.6 r - 0.2$
204215	Solve for x	(5x)/2-3=(2x-7)/6	$\frac{5 x}{2} - 3 = \frac{2 x - 7}{6}$
204216	Solve for x	x^3-3x^2+x-3=x^2+1	$x^{3} - 3 x^{2} + x - 3 = x^{2} + 1$
204217	Find All Complex Solutions	x^3+2x^2+x=0	$x^{3} + 2 x^{2} + x = 0$
204218	Solve for x	(1/8)^(3x^2+3x)=(1/64)^(6x-3)	${(\frac{1}{8})}^{3 x^{2} + 3 x} = {(\frac{1}{64})}^{6 x - 3}$
204219	Solve the System of Inequalities	y<6 y>x+3	$y < 6$ $y > x + 3$
204220	Simplify	2y*(y^2)^3	$2 y \cdot {(y^{2})}^{3}$
204221	Solve for y	2y-5=4y	$2 y - 5 = 4 y$
204222	Multiply	(x^2-3x)/(x-2)*(x^2+x-6)/x	$\frac{x^{2} - 3 x}{x - 2} \cdot \frac{x^{2} + x - 6}{x}$
204223	Graph	f(x)=(-2x)/3+2	$f (x) = \frac{- 2 x}{3} + 2$
204224	Find the Domain and Range	y=-1/3 square root of x+1	$y = - \frac{1}{3} \sqrt{x + 1}$
204225	Simplify	(-4e^-2f^3)^2	${(- 4 e^{- 2} f^{3})}^{2}$
204226	Convert to Radical Form	1/((x-1)^(-1/2))	$\frac{1}{{(x - 1)}^{- \frac{1}{2}}}$
204227	Solve for t	t^3-3t^2-40t=0	$t^{3} - 3 t^{2} - 40 t = 0$
204228	Solve for x	2^(3x)3^x-2^(3x-1)3^(x+1)=-288	$2^{3 x} \cdot 3^{x} - 2^{3 x - 1} \cdot 3^{x + 1} = - 288$
204229	Evaluate the Function	g(2y)=x^3	$g (2 y) = x^{3}$
204230	Solve for x	log base a of x+2- log base a of x-1 = log base a of 4	$\log_{a} (x + 2) - \log_{a} (x - 1) = \log_{a} (4)$
204231	Solve for x	4^x+2^(x+1)=8	$4^{x} + 2^{x + 1} = 8$
204232	Find the Roots (Zeros)	f(z)=-7z^4+z^2-25	$f (z) = - 7 z^{4} + z^{2} - 25$
204233	Find the Roots (Zeros)	2x^5-7x^4-5x^3+18x^2-1	$2 x^{5} - 7 x^{4} - 5 x^{3} + 18 x^{2} - 1$
204234	Solve for x	(x^2)/(x-10)=100/(x-10)-10	$\frac{x^{2}}{x - 10} = \frac{100}{x - 10} - 10$
204235	Simplify	(-(5y^2)/(x^6))(5x^4y)	$(- \frac{5 y^{2}}{x^{6}}) (5 x^{4} y)$
204236	Rationalize the Denominator	fourth root of (5x)/x	$\sqrt[4]{\frac{5 x}{x}}$
204237	Simplify	(x^3+2x^2+1)(x^2+5)	$(x^{3} + 2 x^{2} + 1) (x^{2} + 5)$
204238	Write with Rational (Fractional) Exponents	fourth root of 2^-5	$\sqrt[4]{2^{- 5}}$
204239	Write in Standard Form	3x(x-7)(x-1)^2	$3 x (x - 7) {(x - 1)}^{2}$
204240	Simplify	(x^(1/3)*x^(5/6))/(x^(1/6))	$\frac{x^{\frac{1}{3}} \cdot x^{\frac{5}{6}}}{x^{\frac{1}{6}}}$
204241	Solve for x	3/(x+3)-2/(x-1)=-1/(x^2+2x-3)	$\frac{3}{x + 3} - \frac{2}{x - 1} = - \frac{1}{x^{2} + 2 x - 3}$
204242	Find the Domain and Range	x=(y+1)^3-2	$x = {(y + 1)}^{3} - 2$
204243	Convert to Radical Form	33gh^(1/2)	$33 g h^{\frac{1}{2}}$
204244	Evaluate	(-3x*(x)^(1/2))/((1-3x^2)^(1/2))-((1-3x^2)^(1/2))/(2(x)^(1/2))	$\frac{- 3 x \cdot {(x)}^{\frac{1}{2}}}{{(1 - 3 x^{2})}^{\frac{1}{2}}} - \frac{{(1 - 3 x^{2})}^{\frac{1}{2}}}{2 {(x)}^{\frac{1}{2}}}$
204245	Solve the Inequality for y	2x-y>10	$2 x - y > 10$
204246	Simplify	square root of (x^5y^2)/(125xy)	$\sqrt{\frac{x^{5} y^{2}}{125 x y}}$
204247	Solve the System of Equations	3y+x^2-4x-17=0 3y-10x+38=0	$3 y + x^{2} - 4 x - 17 = 0$ $3 y - 10 x + 38 = 0$
204248	Find the Inverse	f(x)=1/2(3-3x)	$f (x) = \frac{1}{2} (3 - 3 x)$
204249	Simplify	-10i^30+8i^57+i^88+10i^34	$- 10 i^{30} + 8 i^{57} + i^{88} + 10 i^{34}$
204250	Simplify	(2- square root of 3)/(-2- square root of 5)	$\frac{2 - \sqrt{3}}{- 2 - \sqrt{5}}$
204251	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-2x^4-3x^2+2x+7x^5	$f (x) = - 2 x^{4} - 3 x^{2} + 2 x + 7 x^{5}$
204252	Simplify	square root of cube root of 27	$\sqrt{\sqrt[3]{27}}$
204253	Write with Rational (Fractional) Exponents	( square root of x)^2	${(\sqrt{x})}^{2}$
204254	Simplify	(3^-4*3^-1)/3	$\frac{3^{- 4} \cdot 3^{- 1}}{3}$
204255	Solve for b	log base b of 2=1	$\log_{b} (2) = 1$
204256	Solve for g	(g+3)/(g-2)=56/21	$\frac{g + 3}{g - 2} = \frac{56}{21}$
204257	Simplify	- square root of (1-cos(7A))/2	$- \sqrt{\frac{1 - \cos (7 A)}{2}}$
204258	Simplify	(5a^2xy^3)(b^3y^4)^3	$(5 a^{2} x y^{3}) {(b^{3} y^{4})}^{3}$
204259	Evaluate	square root of x+10-9=-7	$\sqrt{x + 10} - 9 = - 7$
204260	Graph	f(x)=2* log base 1/4 of x	$f (x) = 2 \cdot \log_{\frac{1}{4}} (x)$
204261	Simplify	((5pr^-2)^-2)/((3p^-1r)^3)	$\frac{{(5 p r^{- 2})}^{- 2}}{{(3 p^{- 1} r)}^{3}}$
204262	Simplify	4/( square root of 5a)-2/( square root of 5a)-(7 square root of 5a)/(5a)	$\frac{4}{\sqrt{5 a}} - \frac{2}{\sqrt{5 a}} - \frac{7 \sqrt{5 a}}{5 a}$
204263	Simplify	(12x^-5y^3)/(3^-2x^-2y^-4)	$\frac{12 x^{- 5} y^{3}}{3^{- 2} x^{- 2} y^{- 4}}$
204264	Solve for y	log base 1/6 of 1/1296=y	$\log_{\frac{1}{6}} (\frac{1}{1296}) = y$
204265	Determine if a Polynomial	-7x^5+8x-4x^3+2x^4	$- 7 x^{5} + 8 x - 4 x^{3} + 2 x^{4}$
204266	Solve for y	x=3 log of y^2	$x = 3 \log (y^{2})$
204267	Graph	f(x)=5* log of -x	$f (x) = 5 \cdot \log (- x)$
204268	Solve for w	0.7w=7(0.2w-0.9)	$0.7 w = 7 (0.2 w - 0.9)$
204269	Solve for y	(x-1)(x-1)(x-1)=y	$(x - 1) (x - 1) (x - 1) = y$
204270	Solve for b	(x+y)^7=x^7+7x^6y+ax^5y^2+35x^4y^b+35x^3y^4+21x^2y^5+7xy^6+y^7	${(x + y)}^{7} = x^{7} + 7 x^{6} y + a x^{5} y^{2} + 35 x^{4} y^{b} + 35 x^{3} y^{4} + 21 x^{2} y^{5} + 7 x y^{6} + y^{7}$
204271	Solve for x	105^(x+2)>1000	$105^{x + 2} > 1000$
204272	Find All Complex Solutions	x^2+8x=-16	$x^{2} + 8 x = - 16$
204273	Simplify	5^-3*(5^7)/(5^-7)	$5^{- 3} \cdot \frac{5^{7}}{5^{- 7}}$
204274	Evaluate	(-3^-2)/(4^-1)	$\frac{- 3^{- 2}}{4^{- 1}}$
204275	Evaluate	(3m^-4)/(m^3)	$\frac{3 m^{- 4}}{m^{3}}$
204276	Solve for x	cube root of 14-10x=-2 cube root of x	$\sqrt[3]{14 - 10 x} = - 2 \sqrt[3]{x}$
204277	Multiply	(16x^2)/(36x^2-1)*(42x-7)/(14x^3)	$\frac{16 x^{2}}{36 x^{2} - 1} \cdot \frac{42 x - 7}{14 x^{3}}$
204278	Determine if Perpendicular	3x+2y=10 and 2x+3y=-3	$3 x + 2 y = 10$ and $2 x + 3 y = - 3$
204279	Find the End Behavior	f(x)=(x-2)^2(x+3)(x+1)^2	$f (x) = {(x - 2)}^{2} (x + 3) {(x + 1)}^{2}$
204280	Evaluate	1/2+(1/3)÷(1/2)-1/3	$\frac{1}{2} + \frac{1}{3} \div \frac{1}{2} - \frac{1}{3}$
204281	Simplify	i^85-9i^76-8i^85+5i^111	$i^{85} - 9 i^{76} - 8 i^{85} + 5 i^{111}$
204282	Solve for y	(3y)/5-8=-y	$\frac{3 y}{5} - 8 = - y$
204283	Multiply	(x-y)(x+y)(2x+y)	$(x - y) (x + y) (2 x + y)$
204284	Simplify the Radical Expression	y square root of 2x- square root of 8x^3+3 square root of 18x	$y \sqrt{2 x} - \sqrt{8 x^{3}} + 3 \sqrt{18 x}$
204285	Convert to Interval Notation	x^4+x^3-6x^2<=0	$x^{4} + x^{3} - 6 x^{2} \leq 0$
204286	Evaluate	8+2x-1=x-2-5x	$8 + 2 x - 1 = x - 2 - 5 x$
204287	Solve for x	Solve log of x=4	Solve $\log (x) = 4$
204288	Simplify	(3^(2/3)*5^(1/4))^6	${(3^{\frac{2}{3}} \cdot 5^{\frac{1}{4}})}^{6}$
204289	Solve for a	(n root of a)^n=a	${(\sqrt[n]{a})}^{n} = a$
204290	Simplify	( square root of 2^5)/( cube root of 2)	$\frac{\sqrt{2^{5}}}{\sqrt[3]{2}}$
204291	Solve by Factoring	y^3-27=9y^2-27y	$y^{3} - 27 = 9 y^{2} - 27 y$
204292	Simplify	(y^3+5y^2)/(21y^3)*(9y^3)/(y+5)	$\frac{y^{3} + 5 y^{2}}{21 y^{3}} \cdot \frac{9 y^{3}}{y + 5}$
204293	Solve for w	25% of what number w is 9 ?	$25 %$ of what number $w$ is $9$ ?
204294	Simplify the Radical Expression	( fourth root of -y)^4	${(\sqrt[4]{- y})}^{4}$
204295	Simplify	(81^(1/2))/(9^(1/2))	$\frac{81^{\frac{1}{2}}}{9^{\frac{1}{2}}}$
204296	Simplify	25-9m^2-m+4m^3	$25 - 9 m^{2} - m + 4 m^{3}$
204297	Find the Inverse	y-2=7x	$y - 2 = 7 x$
204298	Evaluate	2(6(12-8)+7(17-9)+4)	$2 (6 (12 - 8) + 7 (17 - 9) + 4)$
204299	Solve the System of Equations	2r-t=7 r-t=1	$2 r - t = 7$ $r - t = 1$
204300	Simplify	(-8x^2y^8z^-5)/(12x^4y^-7z^7)	$\frac{- 8 x^{2} y^{8} z^{- 5}}{12 x^{4} y^{- 7} z^{7}}$