Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
210801	Simplify	(6- square root of 2)/(4-3 square root of 2)	$\frac{6 - \sqrt{2}}{4 - 3 \sqrt{2}}$ ?
210802	Find the Exact Value	15*15	$15 \cdot 15$
210803	Solve for x	solve 3^(x-2)=3^7	solve $3^{x - 2} = 3^{7}$
210804	Solve for x	(x+2)(x+3)=x^2+5x+6	$(x + 2) (x + 3) = x^{2} + 5 x + 6$
210805	Simplify	((3c)/(4a^2bc^2))^2	${(\frac{3 c}{4 a^{2} b c^{2}})}^{2}$
210806	Simplify	(-1/x)(1-x)/(1+x)x/(x^2-1)	$(- \frac{1}{x}) \times \frac{1 - x}{1 + x} \times \frac{x}{x^{2} - 1}$
210807	Rationalize the Denominator	(-2 square root of 7+5 square root of 2)/( square root of 3r)	$\frac{- 2 \sqrt{7} + 5 \sqrt{2}}{\sqrt{3 r}}$
210808	Solve for x	1/4(12-4x)=3-x	$\frac{1}{4} (12 - 4 x) = 3 - x$
210809	Expand Using the Binomial Theorem	(1+x/4)^8	${(1 + \frac{x}{4})}^{8}$
210810	Solve the System of Equations	1/2x=10-1/2y 8=x-y	$\frac{1}{2} x = 10 - \frac{1}{2} y$ $8 = x - y$
210811	Graph	y=-2x^3+3x+1	$y = - 2 x^{3} + 3 x + 1$
210812	Multiply	-2/9(-5/3)	$- \frac{2}{9} (- \frac{5}{3})$
210813	Solve for k	-12=19k-4k+3	$- 12 = 19 k - 4 k + 3$
210814	Simplify	(6y-3)/(5y)-(y+2)/(5y)	$\frac{6 y - 3}{5 y} - \frac{y + 2}{5 y}$
210815	Determine if a Polynomial	(8y^3)/w+5y^2	$\frac{8 y^{3}}{w} + 5 y^{2}$
210816	Simplify	(3r^3)/( square root of 20r)	$\frac{3 r^{3}}{\sqrt{20 r}}$
210817	Evaluate	1/2(6)^2pi/2	$\frac{1}{2} {(6)}^{2} \frac{π}{2}$
210818	Solve by Graphing	y=-2/3x+2 y=-2	$y = - \frac{2}{3} x + 2$ $y = - 2$
210819	Solve for p	(r-p)/3=S	$\frac{r - p}{3} = S$
210820	Solve for p	(r-p)/4=S	$\frac{r - p}{4} = S$
210821	Find the Holes in the Graph	f(x)=(x-6)/(x^2-6x)	$f (x) = \frac{x - 6}{x^{2} - 6 x}$
210822	Simplify	(b^3)/(c^(1/2))*c/(b^(1/3))	$\frac{b^{3}}{c^{\frac{1}{2}}} \cdot \frac{c}{b^{\frac{1}{3}}}$
210823	Divide Using Synthetic Division	(x^5-8x^4+8x-64)÷(x-8)	$(x^{5} - 8 x^{4} + 8 x - 64) \div (x - 8)$
210824	Convert to Polar	z=3(cos(pi/6)+isin(pi/6))	$z = 3 (\cos (\frac{π}{6}) + i \sin (\frac{π}{6}))$
210825	Evaluate	4*(1/2)^-1	$4 \cdot {(\frac{1}{2})}^{- 1}$
210826	Solve the Rational Equation for x	-9+x/(x-6)=6/(x-6)	$- 9 + \frac{x}{x - 6} = \frac{6}{x - 6}$
210827	Solve for x	(7x)/3+2=1/3	$\frac{7 x}{3} + 2 = \frac{1}{3}$
210828	Simplify the Radical Expression	6 square root of 15y^4*2 square root of 20y^2	$6 \sqrt{15 y^{4}} \cdot 2 \sqrt{20 y^{2}}$
210829	Solve for x	5^(-2/3)=(125^(x/3))/(25^(4/3))	$5^{- \frac{2}{3}} = \frac{125^{\frac{x}{3}}}{25^{\frac{4}{3}}}$
210830	Evaluate	(sec(t)-cos(t))/(sin(t))	$\frac{\sec (t) - \cos (t)}{\sin (t)}$
210831	Solve for x	x+10/(x-9)=2	$x + \frac{10}{x - 9} = 2$
210832	Simplify	(4x+1)/(7x^2)-(1-3x)/(7x^2)	$\frac{4 x + 1}{7 x^{2}} - \frac{1 - 3 x}{7 x^{2}}$
210833	Simplify	-3x-(-2y-x+(-3y+x-2(x-y)+5x-y)-(-x+y))	$- 3 x - (- 2 y - x + (- 3 y + x - 2 (x - y) + 5 x - y) - (- x + y))$
210834	Solve for r	cube root of 3r-6=3	$\sqrt[3]{3 r - 6} = 3$
210835	Solve for x	5/(x+2)-(2x-1)/5=0	$\frac{5}{x + 2} - \frac{2 x - 1}{5} = 0$
210836	Simplify	(x-5)/(x^2+1)-x^2	$\frac{x - 5}{x^{2} + 1} - x^{2}$
210837	Multiply	2/34 1/26	$\frac{2}{3} \times 4 \frac{1}{2} \times 6$
210838	Find the Roots (Zeros)	x^3+x^2-2x=0	$x^{3} + x^{2} - 2 x = 0$
210839	Find the Roots (Zeros)	3x^2+30=-18x	$3 x^{2} + 30 = - 18 x$
210840	Identify the Zeros and Their Multiplicities	f(t)=1/10t^2(t-4)^3(t+5)^2	$f (t) = \frac{1}{10} t^{2} {(t - 4)}^{3} {(t + 5)}^{2}$
210841	Solve for t	500=1562.5*10^(-0.1t)	$500 = 1562.5 \cdot 10^{- 0.1 t}$
210842	Solve for x	9/10=(9x)/70	$\frac{9}{10} = \frac{9 x}{70}$
210843	Solve for x	-2\|x-3\|+5>=-7	$- 2 \| x - 3 \| + 5 \geq - 7$
210844	Evaluate	7+43+8(5*2)	$7 + 4 \cdot 3 + 8 \cdot (5 \cdot 2)$
210845	Divide	divide x^3+x^2-5x-2 by x-2	divide $x^{3} + x^{2} - 5 x - 2$ by $x - 2$
210846	Solve for y	y/3=x-5	$\frac{y}{3} = x - 5$
210847	Divide	(56x^4y^5-49x^3y^6-35x^2y^3)/(7x^2y^2)	$\frac{56 x^{4} y^{5} - 49 x^{3} y^{6} - 35 x^{2} y^{3}}{7 x^{2} y^{2}}$
210848	Simplify	square root of (5x)/(49y^4)	$\sqrt{\frac{5 x}{49 y^{4}}}$
210849	Find the Degree, Leading Term, and Leading Coefficient	-1/7+x	$- \frac{1}{7} + x$
210850	Solve the System of Equations	-2x-y=1 -6x=3y+3	$- 2 x - y = 1$ $- 6 x = 3 y + 3$
210851	Solve for k	-2(-7k+4)+9=-13	$- 2 (- 7 k + 4) + 9 = - 13$
210852	Simplify	fourth root of x^6y^3+ fourth root of x^10y^3	$\sqrt[4]{x^{6} y^{3}} + \sqrt[4]{x^{10} y^{3}}$
210853	Find the Roots (Zeros)	(x-2)(x^2-1)	$(x - 2) (x^{2} - 1)$
210854	Solve for x	5/x+1/(3x)=(4x)/3	$\frac{5}{x} + \frac{1}{3 x} = \frac{4 x}{3}$
210855	Simplify	((x^2+1)/3)/((x+1)/3)	$\frac{\frac{x^{2} + 1}{3}}{\frac{x + 1}{3}}$
210856	Evaluate	3.5x(5.8-7.09)	$3.5 x (5.8 - 7.09)$
210857	Simplify the Radical Expression	cube root of 3x^2* cube root of x^2* cube root of 9x^3	$\sqrt[3]{3 x^{2}} \cdot \sqrt[3]{x^{2}} \cdot \sqrt[3]{9 x^{3}}$
210858	Write as a Single Logarithm	log base 3 of 6+2* log base 3 of x+1/2 log base 3 of 9	$\log_{3} (6) + 2 \cdot \log_{3} (x) + \frac{1}{2} \log_{3} (9)$
210859	Solve for x	4 1/2-5 1/3÷(20x-14 2/3)=1 5/6	$4 \frac{1}{2} - 5 \frac{1}{3} \div (20 x - 14 \frac{2}{3}) = 1 \frac{5}{6}$
210860	Solve for x	(x+3)/(x+4)-(2x+7)/(x-4)=(2x+5)/(x^2-16)	$\frac{x + 3}{x + 4} - \frac{2 x + 7}{x - 4} = \frac{2 x + 5}{x^{2} - 16}$
210861	Solve for P	Q=60-4P for P ?	$Q = 60 - 4 P$ for $P$ ?
210862	Evaluate	i^25*i^44	$i^{25} \cdot i^{44}$
210863	Evaluate	tan(theta)cot(theta)=1	$\tan (θ) \cot (θ) = 1$
210864	Solve the System of Inequalities	x-3y>=12 4x-3y>21	$x - 3 y \geq 12$ $4 x - 3 y > 21$
210865	Solve the Inequality for x	(1-x)/(1+x)<=0	$\frac{1 - x}{1 + x} \leq 0$
210866	Simplify	3x+4(x-6)-3(x-7)	$3 x + 4 (x - 6) - 3 (x - 7)$
210867	Solve the Inequality for x	3^(x+2)+3^(1-x)>28	$3^{x + 2} + 3^{1 - x} > 28$
210868	Evaluate	e^0-e^(-0)	$e^{0} - e^{- 0}$
210869	Evaluate	cot(theta) = square root of 3	$\cot (θ) = \sqrt{3}$
210870	Evaluate	pi-2.5	$π - 2.5$
210871	Simplify	(2x^3+3x^2-5)+(3x^2+7)	$(2 x^{3} + 3 x^{2} - 5) + (3 x^{2} + 7)$
210872	Solve for x	1/2x+3=0	$\frac{1}{2} x + 3 = 0$
210873	Multiply	(7/52)(13/70)	$(\frac{7}{52}) (\frac{13}{70})$
210874	Simplify	(4x^3-3x^2+6x-4)-(-2x^3+x^2-2)	$(4 x^{3} - 3 x^{2} + 6 x - 4) - (- 2 x^{3} + x^{2} - 2)$
210875	Evaluate	10((3pi)/4)	$10 (\frac{3 π}{4})$
210876	Find the LCM	4x^2+12x+9 and 4x^2-9	$4 x^{2} + 12 x + 9$ and $4 x^{2} - 9$
210877	Simplify	((x-3)/(x+8)+(x-8)/(x+3))/((x-3)/(x+8)-(x-8)/(x+3))	$\frac{\frac{x - 3}{x + 8} + \frac{x - 8}{x + 3}}{\frac{x - 3}{x + 8} - \frac{x - 8}{x + 3}}$
210878	Evaluate	log base 1/9 of ( cube root of 81)^2	$\log_{\frac{1}{9}} ({(\sqrt[3]{81})}^{2})$
210879	Simplify	(5x^2)(4x^8)(-2x^3y)	$(5 x^{2}) (4 x^{8}) (- 2 x^{3} y)$
210880	Evaluate	(((9/3)-1)+5)+(252)	$(((\frac{9}{3}) \cdot - 1) + 5) + (2 \cdot 52)$
210881	Multiply	( square root of 30x^3y^2)( square root of 5x^4y^3)	$(\sqrt{30 x^{3} y^{2}}) (\sqrt{5 x^{4} y^{3}})$
210882	Solve for x	(15-x)*4=10	$(15 - x) \cdot 4 = 10$
210883	Write in Standard Form	4a(5a^2-4)+9a	$4 a (5 a^{2} - 4) + 9 a$
210884	Simplify	7/(10x^3)*(3x)/10	$\frac{7}{10 x^{3}} \cdot \frac{3 x}{10}$
210885	Simplify	((a-b)^2)/(b-a)	$\frac{{(a - b)}^{2}}{b - a}$
210886	Evaluate	(f(-1)-f(-2))/((-1)-(-2))	$\frac{f (- 1) - f (- 2)}{(- 1) - (- 2)}$
210887	Solve for x	square root of 9x+4 = square root of x+30	$\sqrt{9 x} + 4 = \sqrt{x + 30}$
210888	Graph	2^3 square root of x+2+4	$2^{3} \sqrt{x + 2} + 4$
210889	Simplify	cube root of 64x+9 cube root of x^4-6 cube root of x-3x cube root of x	$\sqrt[3]{64 x} + 9 \sqrt[3]{x^{4}} - 6 \sqrt[3]{x} - 3 x \sqrt[3]{x}$
210890	Write in Exponential Form	cube root of 4+ fifth root of 2	$\sqrt[3]{4 + \sqrt[5]{2}}$
210891	Find All Complex Solutions	4t^2-2t-3=-6t	$4 t^{2} - 2 t - 3 = - 6 t$
210892	Subtract	(x-1)/(x-2)-(x^2+4x-4)/(x^2+4x-12)	$\frac{x - 1}{x - 2} - \frac{x^{2} + 4 x - 4}{x^{2} + 4 x - 12}$
210893	Find the Roots (Zeros)	9x^2+38=-36x	$9 x^{2} + 38 = - 36 x$
210894	Solve for x	2/3x-5/6x-3=1/2x-5	$\frac{2}{3} x - \frac{5}{6} x - 3 = \frac{1}{2} x - 5$
210895	Solve for m	27=m^3	$27 = m^{3}$
210896	Simplify	(4(fg^3))^-2(-4fg^3h)^2(3gh^4)^-1	${(4 f g^{3})}^{- 2} {(- 4 f g^{3} h)}^{2} {(3 g h^{4})}^{- 1}$
210897	Simplify	-9d-4p-6-10d+8	$- 9 d - 4 p - 6 - 10 d + 8$
210898	Simplify	3m^(1/4)(mn^(1/3))^(3/2)	$3 m^{\frac{1}{4}} {(m n^{\frac{1}{3}})}^{\frac{3}{2}}$
210899	Solve for t	-2.5+0.25t=0.75t	$- 2.5 + 0.25 t = 0.75 t$
210900	Solve for X	-20=-4X-6X	$- 20 = - 4 X - 6 X$