Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
204901	Solve for S	S(t)=2t^(3/2)-9t+6	$S (t) = 2 t^{\frac{3}{2}} - 9 t + 6$
204902	Evaluate	5^25^-15^0	$5^{2} \cdot 5^{- 1} \cdot 5^{0}$
204903	Simplify	((120)(450)(60))/((36)(750)(48))	$\frac{(120) (450) (60)}{(36) (750) (48)}$
204904	Solve for n	(9^(3n+3))/(1/27)=9	$\frac{9^{3 n + 3}}{\frac{1}{27}} = 9$
204905	Solve for x	1+x+(x^2)/(1-x)=1/(1-x)	$1 + x + \frac{x^{2}}{1 - x} = \frac{1}{1 - x}$
204906	Simplify	(3x+5)-(4x^2-2)-(x^2-3x+1)	$(3 x + 5) - (4 x^{2} - 2) - (x^{2} - 3 x + 1)$
204907	Solve for x	x/(x-2)=(x-3)/(2x)	$\frac{x}{x - 2} = \frac{x - 3}{2 x}$
204908	Find the x and y Intercepts	F(x)=3^(x-2)+1	$F (x) = 3^{x - 2} + 1$
204909	Graph	h(x)=-(4x)/3+8	$h (x) = - \frac{4 x}{3} + 8$
204910	Simplify the Radical Expression	cube root of 3/(2a)	$\sqrt[3]{\frac{3}{2 a}}$
204911	Solve for x	(7x)/3-19/12=(5x)/2+11/6	$\frac{7 x}{3} - \frac{19}{12} = \frac{5 x}{2} + \frac{11}{6}$
204912	Write in Standard Form	-3+y=5/4x	$- 3 + y = \frac{5}{4} x$
204913	Solve for f	f^-1((3+x)/(x-2))=x+1	$f^{- 1} (\frac{3 + x}{x - 2}) = x + 1$
204914	Evaluate	y=8(1-0.15)^3	$y = 8 {(1 - 0.15)}^{3}$
204915	Simplify the Radical Expression	cube root of (18n^2)/(24n)	$\sqrt[3]{\frac{18 n^{2}}{24 n}}$
204916	Simplify	(6n^2+3n^4-8n-4n^3)+(7n^2-8n^3-2n)	$(6 n^{2} + 3 n^{4} - 8 n - 4 n^{3}) + (7 n^{2} - 8 n^{3} - 2 n)$
204917	Solve for h	-(-3h+6)=3(-10+3h)	$- (- 3 h + 6) = 3 (- 10 + 3 h)$
204918	Simplify the Radical Expression	3 square root of 12* square root of 6	$3 \sqrt{12} \cdot \sqrt{6}$
204919	Solve for x	(2^x)^5=2^15	${(2^{x})}^{5} = 2^{15}$
204920	Divide Using Synthetic Division	(12x^3+2x^2-5x+1)÷(x-1/3)	$(12 x^{3} + 2 x^{2} - 5 x + 1) \div (x - \frac{1}{3})$
204921	Solve for x	log base 4 of 3x-2- log base 4 of 4x+1=2	$\log_{4} (3 x - 2) - \log_{4} (4 x + 1) = 2$
204922	Simplify	(x-1)/2+3/2x	$\frac{x - 1}{2} + \frac{3}{2} x$
204923	Solve for q	15+1-12q=-18q-14	$15 + 1 - 12 q = - 18 q - 14$
204924	Simplify	square root of x( square root of x+ square root of 3)	$\sqrt{x} (\sqrt{x} + \sqrt{3})$
204925	Solve for x	3(3+x)-5(2+x)=3	$3 (3 + x) - 5 (2 + x) = 3$
204926	Simplify	((x^-3)^2)/((x^2)^-1)	$\frac{{(x^{- 3})}^{2}}{{(x^{2})}^{- 1}}$
204927	Solve the Inequality for h	h/9>1/4	$\frac{h}{9} > \frac{1}{4}$
204928	Simplify	x+5x+x-3x	$x + 5 x + x - 3 x$
204929	Divide Using Long Polynomial Division	(4a^2h^2-8a^3h+3a^4)÷(2a^2)	$(4 a^{2} h^{2} - 8 a^{3} h + 3 a^{4}) \div (2 a^{2})$
204930	Factor	63cd-7c^5d	$63 c d - 7 c^{5} d$
204931	Solve for x	square root of 5=5^(x+4)	$\sqrt{5} = 5^{x + 4}$
204932	Solve for s	b=(rs)/t	$b = \frac{r s}{t}$
204933	Find the Degree, Leading Term, and Leading Coefficient	f(x)=9x+4x^3+x^4+5x^2	$f (x) = 9 x + 4 x^{3} + x^{4} + 5 x^{2}$
204934	Solve by Addition/Elimination	3x-y=6 -3x+y=-6	$3 x - y = 6$ $- 3 x + y = - 6$
204935	Find the Volume	cone (12cm)(7cm)	 $\begin{array}{r} h = & 12 cm \\ r = & 7 cm \end{array}$
204936	Solve by Substitution	-x+y=4 x+3y=4	$- x + y = 4$ $x + 3 y = 4$
204937	Evaluate	x^2y^-4*x^3y^2	$x^{2} y^{- 4} \cdot x^{3} y^{2}$
204938	Simplify the Radical Expression	square root of 17x^2	$\sqrt{17 x^{2}}$
204939	Evaluate	(2+4(6+3))/(2\|3-2(8-1)\|-2*7)	$\frac{2 + 4 (6 + 3)}{2 \| 3 - 2 (8 - 1) \| - 2 \cdot 7}$
204940	Solve for x	-2 = square root of 2x-4-x	$- 2 = \sqrt{2 x - 4} - x$
204941	Simplify	(4x^-4y^-2)/(3x^2y^3)	$\frac{4 x^{- 4} y^{- 2}}{3 x^{2} y^{3}}$
204942	Solve for x	(4x-1)/(x+1)=x-1	$\frac{4 x - 1}{x + 1} = x - 1$
204943	Simplify	(3x)/(2b)-(5x)/(6b)	$\frac{3 x}{2 b} - \frac{5 x}{6 b}$
204944	Solve the Inequality for x	(2x-4)/6>=-5x+2	$\frac{2 x - 4}{6} \geq - 5 x + 2$
204945	Graph	3x-y<6 3x-y>-2	$3 x - y < 6$ $3 x - y > - 2$
204946	Solve for R	(20-R)^(1/2)=R	${(20 - R)}^{\frac{1}{2}} = R$
204947	Solve the System of Inequalities	x<=-3 y<5/3x+2	$x \leq - 3$ $y < \frac{5}{3} x + 2$
204948	Find the Inverse	g(x)=2 cube root of x-3+4	$g (x) = 2 \sqrt[3]{x - 3} + 4$
204949	Simplify	48+(-32)+(-3)(15)	$48 + (- 32) + (- 3) (15)$
204950	Solve for x	8+(1/x-2)=88	$8 + (\frac{1}{x} - 2) = 88$
204951	Simplify	(3-3x)/(x^2-2x+1)	$\frac{3 - 3 x}{x^{2} - 2 x + 1}$
204952	Simplify	fifth root of (-y)^10	$\sqrt[5]{{(- y)}^{10}}$
204953	Find the Exact Value	arcsin((-( square root of 3)/2)^-1)	$\arcsin ({(- \frac{\sqrt{3}}{2})}^{- 1})$
204954	Evaluate	4*1+3^2-6÷2	$4 \cdot 1 + 3^{2} - 6 \div 2$
204955	Solve for g	-0.5g=-3g+0.25	$- 0.5 g = - 3 g + 0.25$
204956	Simplify	(x^2+5x-34)/(x^2-9x+8)-10/(x-8)	$\frac{x^{2} + 5 x - 34}{x^{2} - 9 x + 8} - \frac{10}{x - 8}$
204957	Solve the Inequality for m	11+m>=15	$11 + m \geq 15$
204958	Simplify	square root of 5x+ cube root of 81x- square root of 45x- cube root of 54x	$\sqrt{5 x} + \sqrt[3]{81 x} - \sqrt{45 x} - \sqrt[3]{54 x}$
204959	Simplify	(8 square root of 12+3 square root of 18- square root of 32)÷( square root of 2)	$(8 \sqrt{12} + 3 \sqrt{18} - \sqrt{32}) \div \sqrt{2}$
204960	Solve for y	log base b of b=y	$\log_{b} (b) = y$
204961	Simplify	(3 square root of 8)÷( square root of 3)	$3 \sqrt{8} \div \sqrt{3}$
204962	Write in Slope-Intercept Form	3x-4y<=0	$3 x - 4 y \leq 0$
204963	Simplify	i^6i^25i^19*i^16	$i^{6} \cdot i^{25} \cdot i^{19} \cdot i^{16}$
204964	Solve the System of Inequalities	6-x>15 or 2x-9>=3	$6 - x > 15$ or $2 x - 9 \geq 3$
204965	Determine if a Polynomial	-z^3+8 square root of x	$- z^{3} + 8 \sqrt{x}$
204966	Graph	y<-2 y>2	$y < - 2$ $y > 2$
204967	Find the Domain and Range	y=-2sec(2x+pi/2)+7	$y = - 2 \sec (2 x + \frac{π}{2}) + 7$
204968	Divide	(14x^6y^3-49x^5y^9)/(-7x^4y)	$\frac{14 x^{6} y^{3} - 49 x^{5} y^{9}}{- 7 x^{4} y}$
204969	Solve for x	square root of 2x- square root of x+1=1	$\sqrt{2 x} - \sqrt{x + 1} = 1$
204970	Multiply	3(cos(pi/3)+isin(pi/3))*5(cos(pi/4)+isin(pi/4))	$3 (\cos (\frac{π}{3}) + i \sin (\frac{π}{3})) \cdot 5 (\cos (\frac{π}{4}) + i \sin (\frac{π}{4}))$
204971	Write the Fraction in Simplest Form	(2sin(A)cos(A)-cos(A))/(1-sin(A)+sin(A)^2cos(A)^2)	$\frac{2 \sin (A) \cos (A) - \cos (A)}{1 - \sin (A) + \sin^{2} (A) \cos^{2} (A)}$
204972	Evaluate	6^(1/3)*6^(1/4)=6^(x/y)	$6^{\frac{1}{3}} \cdot 6^{\frac{1}{4}} = 6^{\frac{x}{y}}$
204973	Simplify	(24x^3-16x^2)-(6x^3+18x^2-14)	$(24 x^{3} - 16 x^{2}) - (6 x^{3} + 18 x^{2} - 14)$
204974	Multiply	(4ab+5c)(4ab-5c)	$(4 a b + 5 c) (4 a b - 5 c)$
204975	Solve for x	1/3x+1/2x+6=11	$\frac{1}{3} x + \frac{1}{2} x + 6 = 11$
204976	Simplify the Radical Expression	square root of 7/(3z)	$\sqrt{\frac{7}{3 z}}$
204977	Simplify	( fourth root of a^5)÷2 fourth root of a	$\sqrt[4]{a^{5}} \div 2 \sqrt[4]{a}$
204978	Write in Standard Form	x^5+2x^6-3x^4-8x+4x^3	$x^{5} + 2 x^{6} - 3 x^{4} - 8 x + 4 x^{3}$
204979	Simplify the Radical Expression	square root of 36xy^11	$\sqrt{36 x y^{11}}$
204980	Determine if a Polynomial	-7y-4z^5-6z^3x^4	$- 7 y - 4 z^{5} - 6 z^{3} x^{4}$
204981	Simplify	i^34i^15i^39	$i^{34} \cdot i^{15} \cdot i^{39}$
204982	Evaluate	4^(5x)=4^10	$4^{5 x} = 4^{10}$
204983	Solve for x	4x-1=2(x-1)+1+2x	$4 x - 1 = 2 (x - 1) + 1 + 2 x$
204984	Evaluate	-2(3/2)^1	$- 2 {(\frac{3}{2})}^{1}$
204985	Solve for x	x+1/6=4-2x	$x + \frac{1}{6} = 4 - 2 x$
204986	Simplify	(bx+3b)/(x^2-25)*((x-5)^2)/(ax+3a)	$\frac{b x + 3 b}{x^{2} - 25} \cdot \frac{{(x - 5)}^{2}}{a x + 3 a}$
204987	Simplify	(21a+18)/3+(28a-20)/4	$\frac{21 a + 18}{3} + \frac{28 a - 20}{4}$
204988	Solve for z	3 15/16=7/8(z+3)	$3 \frac{15}{16} = \frac{7}{8} (z + 3)$
204989	Simplify	(4+2 square root of 5)(3 square root of 3+4 square root of 5)	$(4 + 2 \sqrt{5}) (3 \sqrt{3} + 4 \sqrt{5})$
204990	Multiply	fourth root of 8* fourth root of 2	$\sqrt[4]{8} \cdot \sqrt[4]{2}$
204991	Solve the Inequality for m	m+4>9	$m + 4 > 9$
204992	Determine if a Polynomial	m+m^3-8m^4	$m + m^{3} - 8 m^{4}$
204993	Convert to Radical Form	(6^5)/6	$\frac{6^{5}}{6}$
204994	Simplify	(x^3+9x^2-10x)/(x^3-9x^2-10x)	$\frac{x^{3} + 9 x^{2} - 10 x}{x^{3} - 9 x^{2} - 10 x}$
204995	Simplify the Radical Expression	2 square root of x^3	$2 \sqrt{x^{3}}$
204996	Simplify	(a^2-6a)/(a-6)*(a+3)/a	$\frac{a^{2} - 6 a}{a - 6} \cdot \frac{a + 3}{a}$
204997	Simplify	i^8*i^60	$i^{8} \cdot i^{60}$
204998	Simplify	((2x)^-2)/((2x^3)^-1)	$\frac{{(2 x)}^{- 2}}{{(2 x^{3})}^{- 1}}$
204999	Simplify	(4x^3y^-1)^2	${(4 x^{3} y^{- 1})}^{2}$
205000	Simplify	square root of (64x^3y)/(2x^2)	$\sqrt{\frac{64 x^{3} y}{2 x^{2}}}$