Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
206101	Find the Product	square root of 11* ninth root of 11	$\sqrt{11} \cdot \sqrt[9]{11}$
206102	Solve the Inequality for x	y<=x^2+2x-8	$y \leq x^{2} + 2 x - 8$
206103	Solve for w	6(3-5w)=5(4-2w)-20w	$6 (3 - 5 w) = 5 (4 - 2 w) - 20 w$
206104	Solve the Inequality for x	1<=1/2x+1<=3	$1 \leq \frac{1}{2} x + 1 \leq 3$
206105	Determine if a Polynomial	-(w^4)/6-3w^2+10w^5	$- \frac{w^{4}}{6} - 3 w^{2} + 10 w^{5}$
206106	Simplify	((2x^5y^8)/(5x^6y^5))^2	${(\frac{2 x^{5} y^{8}}{5 x^{6} y^{5}})}^{2}$
206107	Simplify	((2xy)(3x^2y^4))/(-6xy^5)	$\frac{(2 x y) (3 x^{2} y^{4})}{- 6 x y^{5}}$
206108	Evaluate Using the Given Value	Evaluate 1/4c+3d when c=6 and d=7	Evaluate $\frac{1}{4} c + 3 d$ when $c = 6$ and $d = 7$
206109	Simplify	((x+7)/2)(6/x)	$(\frac{x + 7}{2}) (\frac{6}{x})$
206110	Solve for x	2 square root of 2x-3=-4	$2 \sqrt{2 x - 3} = - 4$
206111	Solve the Inequality for x	\|2x-6\|+\|3-x\|>12	$\| 2 x - 6 \| + \| 3 - x \| > 12$
206112	Solve for m	16^(m+1)=64^(-3m)	$16^{m + 1} = 64^{- 3 m}$
206113	Solve for x	(x-2)^(3/2)=-8	${(x - 2)}^{\frac{3}{2}} = - 8$
206114	Convert to a Decimal	sin(270)deg	$\sin (270)$ degrees
206115	Solve for y	y+15=x+6	$y + 15 = x + 6$
206116	Rationalize the Denominator	square root of (6m)/(7n)	$\sqrt{\frac{6 m}{7 n}}$
206117	Divide	(x^4+x^3+5x^2-10x+10)/(x^2+2x+1)	$\frac{x^{4} + x^{3} + 5 x^{2} - 10 x + 10}{x^{2} + 2 x + 1}$
206118	Write the Fraction in Simplest Form	(2(a)^3)/(10a^5)	$\frac{2 {(a)}^{3}}{10 a^{5}}$
206119	Solve for x	(5+7)/x=24	$\frac{(5 + 7)}{x} = 24$
206120	Find the Product	(2x^2)^3	${(2 x^{2})}^{3}$
206121	Simplify	1/(r+7)*(r^2+r-42)/(r+10)	$\frac{1}{r + 7} \cdot \frac{r^{2} + r - 42}{r + 10}$
206122	Solve for y	y-4/3=11/3	$y - \frac{4}{3} = \frac{11}{3}$
206123	Simplify	( square root of 7x+3)*( square root of 7x-3)	$(\sqrt{7 x} + 3) \cdot (\sqrt{7 x} - 3)$
206124	Find the Quadratic Equation Given the Roots	square root of 2 , square root of 8	$\sqrt{2}$ , $\sqrt{8}$
206125	Solve the System of Equations	y-x=0 2x-5y=9	$y - x = 0$ $2 x - 5 y = 9$
206126	Simplify the Radical Expression	15 1/3	$15 \frac{1}{3}$
206127	Find the Exact Value	cos(pi/4)+cos(pi/4)	$\cos (\frac{π}{4}) + \cos (\frac{π}{4})$
206128	Multiply	2 square root of 3* square root of 2	$2 \sqrt{3} \cdot \sqrt{2}$
206129	Write in Slope-Intercept Form	y+5/3=1/2(x-2)	$y + \frac{5}{3} = \frac{1}{2} (x - 2)$
206130	Graph Using a Table of Values	y=1/2*2^x-4	$y = \frac{1}{2} \cdot 2^{x} - 4$
206131	Solve for w	7w+w-15=17	$7 w + w - 15 = 17$
206132	Find the Inverse	y=3^(x/2)	$y = 3^{\frac{x}{2}}$
206133	Evaluate	-5 square root of b=-50	$- 5 \sqrt{b} = - 50$
206134	Solve the Inequality for x	2x^2-2x>0	$2 x^{2} - 2 x > 0$
206135	Solve for a	a/2-a/8=5	$\frac{a}{2} - \frac{a}{8} = 5$
206136	Find the Roots (Zeros)	2x(x-8)=(x+1)(2x-3)	$2 x (x - 8) = (x + 1) (2 x - 3)$
206137	Simplify	square root of (4r^8)/(t^9)	$\sqrt{\frac{4 r^{8}}{t^{9}}}$
206138	Combine Like Terms	3n-(2+n)	$3 n - (2 + n)$
206139	Graph	x(x+1)(x-1)(x-2)	$x (x + 1) (x - 1) (x - 2)$
206140	Write the Fraction in Simplest Form	(2(r^5)^2)/(3r^6)	$\frac{2 {(r^{5})}^{2}}{3 r^{6}}$
206141	Evaluate	-1/2(2)^-2	$- \frac{1}{2} {(2)}^{- 2}$
206142	Evaluate	25% of 64	$25 %$ of $64$
206143	Solve the Rational Equation for x	square root of 2x+2 = square root of x+10	$\sqrt{2 x + 2} = \sqrt{x + 10}$
206144	Simplify	i^17i^30i^6*i^19	$i^{17} \cdot i^{30} \cdot i^{6} \cdot i^{19}$
206145	Solve the System of Equations	y=-7/2x+11 7x+2y=20	$y = - \frac{7}{2} x + 11$ $7 x + 2 y = 20$
206146	Simplify	3xy^4z^2*5x^2yx	$3 x y^{4} z^{2} \cdot 5 x^{2} y x$
206147	Simplify	( square root of 2+ square root of 3)(4 square root of 2-2 square root of 3)	$(\sqrt{2} + \sqrt{3}) (4 \sqrt{2} - 2 \sqrt{3})$
206148	Simplify	(8x^3y^4(x-y)^2)/(12x^2y^5(y-x))	$\frac{8 x^{3} y^{4} {(x - y)}^{2}}{12 x^{2} y^{5} (y - x)}$
206149	Find the Domain and Range	y=\|2x-3\|+1	$y = \| 2 x - 3 \| + 1$
206150	Solve for x	(2x)^3=125	${(2 x)}^{3} = 125$
206151	Simplify	fourth root of 5* square root of 5^3	$\sqrt[4]{5} \cdot \sqrt{5^{3}}$
206152	Write the Fraction in Simplest Form	(6d^6)/(2(d^5)^2)	$\frac{6 d^{6}}{2 {(d^{5})}^{2}}$
206153	Simplify	(3-8n-n^2)+(7+2n^2-5n)	$(3 - 8 n - n^{2}) + (7 + 2 n^{2} - 5 n)$
206154	Evaluate	(-5x^2-4x-1)+(-4x^2-4x)	$(- 5 x^{2} - 4 x - 1) + (- 4 x^{2} - 4 x)$
206155	Simplify	(a/(1-a)+(1+a)/a)/((a-1)/a+(-a)/(1+a))	$\frac{\frac{a}{1 - a} + \frac{1 + a}{a}}{\frac{a - 1}{a} + \frac{- a}{1 + a}}$
206156	Solve the Inequality for y	y+5<8	$y + 5 < 8$
206157	Solve for n	(n+3)/2=(26+n)/3	$\frac{n + 3}{2} = \frac{26 + n}{3}$
206158	Describe the Transformation	y=-(2x+8)^3+3	$y = - {(2 x + 8)}^{3} + 3$
206159	Simplify	3/4-3/24	$\frac{3}{4} - \frac{3}{24}$
206160	Simplify	((x^4-81)/(x^2+9))÷((x^2+2x-15)/(x^2+5x))	$\frac{x^{4} - 81}{x^{2} + 9} \div \frac{x^{2} + 2 x - 15}{x^{2} + 5 x}$
206161	Find f(g(x))	f(x)=x^2+6x-2 g(x)=x-6	$f (x) = x^{2} + 6 x - 2$ $g (x) = x - 6$
206162	Find the Roots (Zeros)	9x^2=-54x-83	$9 x^{2} = - 54 x - 83$
206163	Solve for x	(7(3x-6))/3=-7	$\frac{7 (3 x - 6)}{3} = - 7$
206164	Find the Exact Value	f^-1(f(x))	$f^{- 1} (f (x))$
206165	Graph	f(x)=1/2(x-1)^3	$f (x) = \frac{1}{2} {(x - 1)}^{3}$
206166	Simplify	(5+2yi)(4-3i)-(5-2yi)(4-3i)	$(5 + 2 y i) (4 - 3 i) - (5 - 2 y i) (4 - 3 i)$
206167	Graph	y>x-2 y<=x	$y > x - 2$ $y \leq x$
206168	Find the Equation Given the Roots	-2i and square root of 10	$- 2 i$ and $\sqrt{10}$
206169	Simplify	cube root of (81x^2y^3)/(8xy^4z)	$\sqrt[3]{\frac{81 x^{2} y^{3}}{8 x y^{4} z}}$
206170	Write the Fraction in Simplest Form	(3a^2)/(3(a^2)^4)	$\frac{3 a^{2}}{3 {(a^{2})}^{4}}$
206171	Solve the Inequality for a	square root of 2a-3<5	$\sqrt{2 a - 3} < 5$
206172	Simplify	x/(x+4)-(x+36)/(x^2-16)	$\frac{x}{x + 4} - \frac{x + 36}{x^{2} - 16}$
206173	Simplify	x(x+y)+y(x+y)	$x (x + y) + y (x + y)$
206174	Rationalize the Denominator	(2- square root of 6)/(2+ square root of 6)	$\frac{2 - \sqrt{6}}{2 + \sqrt{6}}$
206175	Simplify the Radical Expression	4( square root of 3+ square root of 7)	$4 (\sqrt{3} + \sqrt{7})$
206176	Solve the System of Inequalities	t+14>=15 or t-9<-10	$t + 14 \geq 15$ or $t - 9 < - 10$
206177	Simplify	( square root of 2)/(1+ square root of 6)	$\frac{\sqrt{2}}{1 + \sqrt{6}}$
206178	Solve the Rational Equation for x	(x+5)^(2/3)=4	${(x + 5)}^{\frac{2}{3}} = 4$
206179	Solve for x	x^2+xy+y^2=0	$x^{2} + x y + y^{2} = 0$
206180	Simplify	2x+3xy-(x+y)+2	$2 x + 3 x y - (x + y) + 2$
206181	Simplify	(3n^(5/3))/(4n^2)	$\frac{3 n^{\frac{5}{3}}}{4 n^{2}}$
206182	Simplify	( fourth root of 18)÷( square root of 6)	$\sqrt[4]{18} \div \sqrt{6}$
206183	Simplify the Radical Expression	(2 square root of 3)^2	${(2 \sqrt{3})}^{2}$
206184	Find the Exact Value	tan(-450 degrees )	$\tan (- 450 °)$
206185	Solve for x	2(x-10)^(1/3)+4=0	$2 {(x - 10)}^{\frac{1}{3}} + 4 = 0$
206186	Simplify	-7s(2r)(-4r^8s^2)	$- 7 s (2 r) (- 4 r^{8} s^{2})$
206187	Solve the Inequality for x	x/-5+12<11	$\frac{x}{- 5} + 12 < 11$
206188	Find the Domain and Range	y=2/3arccos(3x+1/2)	$y = \frac{2}{3} \arccos (3 x + \frac{1}{2})$
206189	Simplify	((9y^2)/(y^2+2y+1))÷((36y)/(y^2-1))	$\frac{9 y^{2}}{y^{2} + 2 y + 1} \div \frac{36 y}{y^{2} - 1}$
206190	Simplify	(-4x^-6y^8)(-6x^-4y^-2)	$(- 4 x^{- 6} y^{8}) (- 6 x^{- 4} y^{- 2})$
206191	Simplify	2( square root of 3+ square root of 5)	$2 (\sqrt{3} + \sqrt{5})$
206192	Write in Exponential Form	square root of x^6	$\sqrt{x^{6}}$
206193	Simplify	6/( square root of 2)*( square root of 2)/( square root of 2)	$\frac{6}{\sqrt{2}} \cdot \frac{\sqrt{2}}{\sqrt{2}}$
206194	Rationalize the Denominator	( square root of 10- square root of 5)/( square root of 5+ square root of 2)	$\frac{\sqrt{10} - \sqrt{5}}{\sqrt{5} + \sqrt{2}}$
206195	Graph	1/4x>=-2	$\frac{1}{4} x \geq - 2$
206196	Simplify the Radical Expression	( square root of 5+ square root of 2)/( square root of 8)	$\frac{\sqrt{5} + \sqrt{2}}{\sqrt{8}}$
206197	Simplify	sixth root of 3* sixth root of 3	$\sqrt[6]{3} \cdot \sqrt[6]{3}$
206198	Solve for p	-8.2p+3.55=-0.6p-3.45-8.6p	$- 8.2 p + 3.55 = - 0.6 p - 3.45 - 8.6 p$
206199	Graph	f(x)=2*tan(2)(x-(3pi)/4)	$f (x) = 2 \cdot \tan (2) (x - \frac{3 π}{4})$
206200	Graph	1<=y<=5 y>=4x-3 y>=-4x-3 f(x,y)=-8x+y	$1 \leq y \leq 5$ $y \geq 4 x - 3$ $y \geq - 4 x - 3$ $f (x, y) = - 8 x + y$