Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
201901	Simplify	fourth root of 10* fourth root of 10	$\sqrt[4]{10} \cdot \sqrt[4]{10}$
201902	Simplify	7a^4b^-5*2a^2b	$7 a^{4} b^{- 5} \cdot 2 a^{2} b$
201903	Simplify	(c^(2/9))(c^(4/3))	$(c^{\frac{2}{9}}) (c^{\frac{4}{3}})$
201904	Simplify	( cube root of x^2* sixth root of x^4)^-3	${(\sqrt[3]{x^{2}} \cdot \sqrt[6]{x^{4}})}^{- 3}$
201905	Simplify	((x^0y^3)/(x^-2y))^3	${(\frac{x^{0} y^{3}}{x^{- 2} y})}^{3}$
201906	Simplify the Radical Expression	2 square root of 3+3 square root of 3	$2 \sqrt{3} + 3 \sqrt{3}$
201907	Graph	y>-2 y<=x+9	$y > - 2$ $y \leq x + 9$
201908	Solve for x	-3/4(x+2)=6	$- \frac{3}{4} (x + 2) = 6$
201909	Simplify	(b-c)^3+(c-a)^3+(a-b)^3	${(b - c)}^{3} + {(c - a)}^{3} + {(a - b)}^{3}$
201910	Simplify	x/(x+3)+(17x)/(3x+9)	$\frac{x}{x + 3} + \frac{17 x}{3 x + 9}$
201911	Find All Complex Solutions	x^5=-48	$x^{5} = - 48$
201912	Solve for x	\|3x-1/2\|=1 1/2	$\| 3 x - \frac{1}{2} \| = 1 \frac{1}{2}$
201913	Simplify	square root of square root of 16r^4g^4p^4	$\sqrt{\sqrt{16 r^{4} g^{4} p^{4}}}$
201914	Simplify	(12-14x)/4*(6x+8)/(30-35x)	$\frac{12 - 14 x}{4} \cdot \frac{6 x + 8}{30 - 35 x}$
201915	Evaluate	2x+6y<=10	$2 x + 6 y \leq 10$
201916	Simplify	-2(3m^3+5m+6)+3m(2m^2+3m+1)	$- 2 (3 m^{3} + 5 m + 6) + 3 m (2 m^{2} + 3 m + 1)$
201917	Solve for x	10-2(2x+1)=4(x-2)	$10 - 2 (2 x + 1) = 4 (x - 2)$
201918	Simplify	square root of cube root of 49r^6s^4	$\sqrt{\sqrt[3]{49 r^{6} s^{4}}}$
201919	Simplify	4+3/7x-2-2/7x	$4 + \frac{3}{7} x - 2 - \frac{2}{7} x$
201920	Find the Roots (Zeros)	0=x^3(x+3)(x-1)^2	$0 = x^{3} (x + 3) {(x - 1)}^{2}$
201921	Solve for n	n-1 root of 27^5(x^9y^3)^2=243x^6y^2	$\sqrt[n - 1]{27^{5} {(x^{9} y^{3})}^{2}} = 243 x^{6} y^{2}$
201922	Simplify	2y-5y^23y^3	$2 y \cdot - 5 y^{2} \cdot 3 y^{3}$
201923	Solve for k	2k-3(4-k)=3k+4	$2 k - 3 (4 - k) = 3 k + 4$
201924	Solve for n	3xn-9=6y	$3 x n - 9 = 6 y$
201925	Find the Exact Value	tan(630 degrees )	$\tan (630 °)$
201926	Simplify	((2+(-5+4)-(-8))-2)	$((2 + (- 5 + 4) - (- 8)) - 2)$
201927	Simplify	( square root of 2)^( square root of 2)	${(\sqrt{2})}^{\sqrt{2}}$
201928	Simplify	3ab(4a-5b)+4b^2(2a^2+1)	$3 a b (4 a - 5 b) + 4 b^{2} (2 a^{2} + 1)$
201929	Write in Standard Form	(a+b)(3a-b)(2a+7b)	$(a + b) (3 a - b) (2 a + 7 b)$
201930	Solve for u	5u-20=-5u	$5 u - 20 = - 5 u$
201931	Solve for b	1.6+0.5b=0.1b	$1.6 + 0.5 b = 0.1 b$
201932	Simplify	sixth root of 64(2y+1)^18	$\sqrt[6]{64 {(2 y + 1)}^{18}}$
201933	Solve for b	square root of 2b+3-2=b	$\sqrt{2 b + 3} - 2 = b$
201934	Simplify	(2^2)/(2^-8)*2^8	$\frac{2^{2}}{2^{- 8}} \cdot 2^{8}$
201935	Simplify	(x^(1/5))(2x^(2/5))	$(x^{\frac{1}{5}}) (2 x^{\frac{2}{5}})$
201936	Simplify	(6k^2m-12k^3m^2+9m^3)/(2(km^2))	$\frac{6 k^{2} m - 12 k^{3} m^{2} + 9 m^{3}}{2 {km}^{2}}$
201937	Graph	x<2 y-x<=2	$x < 2$ $y - x \leq 2$
201938	Find the Product	square root of 13* fifth root of 13	$\sqrt{13} \cdot \sqrt[5]{13}$
201939	Graph	6x+2y>14 3x+y<=3	$6 x + 2 y > 14$ $3 x + y \leq 3$
201940	Find the Product	(x-y)^2-a(y-x)	${(x - y)}^{2} - a (y - x)$
201941	Simplify	20 root of 1/(b*b^7)	$\sqrt[20]{\frac{1}{b \cdot b^{7}}}$
201942	Graph	2x+y<=5 y+2>=-2x	$2 x + y \leq 5$ $y + 2 \geq - 2 x$
201943	Simplify	x/(2(x-5))-(3x+1)/(x-5)	$\frac{x}{2 (x - 5)} - \frac{3 x + 1}{x - 5}$
201944	Evaluate	2^0+2^-1+2	$2^{0} + 2^{- 1} + 2$
201945	Simplify	(-2f^3g^2h^0)/(8f^2g^2)	$\frac{- 2 f^{3} g^{2} h^{0}}{8 f^{2} g^{2}}$
201946	Solve by Graphing	2x-6y=30 y=1/3x+1	$2 x - 6 y = 30$ $y = \frac{1}{3} x + 1$
201947	Simplify	5/4+3/(4(x+2))	$\frac{5}{4} + \frac{3}{4 (x + 2)}$
201948	Solve for x	(2x+4)/(12x)=1/4	$\frac{2 x + 4}{12 x} = \frac{1}{4}$
201949	Factor by Grouping	1-1/8p^3	$1 - \frac{1}{8} p^{3}$
201950	Solve by Substitution	3x-30=y 7y-6=3x	$3 x - 30 = y$ $7 y - 6 = 3 x$
201951	Solve for g	0.3(g+2)=0.15g	$0.3 (g + 2) = 0.15 g$
201952	Simplify	((16x^3)/25)÷((4x^6)/(5x))	$\frac{16 x^{3}}{25} \div \frac{4 x^{6}}{5 x}$
201953	Graph	y>-2x-5y	$y > - 2 x - 5 y$
201954	Simplify	(a^(-m/2)b^(-n/3))^-6	${(a^{- \frac{m}{2}} b^{- \frac{n}{3}})}^{- 6}$
201955	Simplify	(x+4)/(2x)-(2x+1)/(6x)	$\frac{x + 4}{2 x} - \frac{2 x + 1}{6 x}$
201956	Simplify	(3+ square root of 3)/(4 square root of 12)	$\frac{3 + \sqrt{3}}{4 \sqrt{12}}$
201957	Convert to Polar	x^2+y^2-2ax=0	$x^{2} + y^{2} - 2 a x = 0$
201958	Simplify	19(2^(1/3))-6*2^(1/3)	$19 (2^{\frac{1}{3}}) - 6 \cdot 2^{\frac{1}{3}}$
201959	Simplify	(5+2 square root of 2)/(7- square root of 2)	$\frac{5 + 2 \sqrt{2}}{7 - \sqrt{2}}$
201960	Solve the System of Equations	3x+y=-5 3y+15=-9x	$3 x + y = - 5$ $3 y + 15 = - 9 x$
201961	Simplify	cube root of 2^5* square root of 2^3	$\sqrt[3]{2^{5}} \cdot \sqrt{2^{3}}$
201962	Solve for x	3/x-2=1/x	$\frac{3}{x} - 2 = \frac{1}{x}$
201963	Simplify	100^k*100^(-k)	$100^{k} \cdot 100^{- k}$
201964	Solve for x	cube root of 4x=x	$\sqrt[3]{4 x} = x$
201965	Simplify the Radical Expression	-4 square root of 192x	$- 4 \sqrt{192 x}$
201966	Simplify	-7xy+x+y+x-3xy	$- 7 x y + x + y + x - 3 x y$
201967	Simplify	(5x^4-6+3x)+(2x+4)+(x^2-3x^4)+(6x-3x^3+3)	$(5 x^{4} - 6 + 3 x) + (2 x + 4) + (x^{2} - 3 x^{4}) + (6 x - 3 x^{3} + 3)$
201968	Graph	x+y>4 y>=3/2x-9	$x + y > 4$ $y \geq \frac{3}{2} x - 9$
201969	Solve by Factoring	x^3=3x^2	$x^{3} = 3 x^{2}$
201970	Divide	x^3-1÷(x+2)	$x^{3} - 1 \div (x + 2)$
201971	Simplify	( square root of 2- square root of 6)/( square root of 2+ square root of 6)	$\frac{\sqrt{2} - \sqrt{6}}{\sqrt{2} + \sqrt{6}}$
201972	Solve for x	square root of 2x+5 = square root of x+2+1	$\sqrt{2 x + 5} = \sqrt{x + 2} + 1$
201973	Solve the System of Equations	y=1/3x+6 y=1/6x+5	$y = \frac{1}{3} x + 6$ $y = \frac{1}{6} x + 5$
201974	Solve for m	2m+7=m+3+10	$2 m + 7 = m + 3 + 10$
201975	Graph	yy<-3/2x-1	$y \cdot y < - \frac{3}{2} x - 1$
201976	Simplify	cube root of (x^5)/(x^2)	$\sqrt[3]{\frac{x^{5}}{x^{2}}}$
201977	Evaluate	4a^3b^2*3a^-4b^-3	$4 a^{3} b^{2} \cdot 3 a^{- 4} b^{- 3}$
201978	Simplify	6(1/2+1/3)	$6 (\frac{1}{2} + \frac{1}{3})$
201979	Write in Standard Form	(1-2n)^3-7n(n^2-2)	${(1 - 2 n)}^{3} - 7 n (n^{2} - 2)$
201980	Simplify	(1/(3(x+2)))÷((5x)/(6(x+2)))	$\frac{1}{3 (x + 2)} \div \frac{5 x}{6 (x + 2)}$
201981	Factor	(a-b)*z+3(b-a)^2	$(a - b) \cdot z + 3 {(b - a)}^{2}$
201982	Simplify	Simplify cos(theta)^2+cos(theta)^2*tan(theta)^2	Simplify $\cos^{2} (θ) + \cos^{2} (θ) \cdot \tan^{2} (θ)$
201983	Write as a Single Logarithm	3 log base b of 4x-( log base b of 5y+ log base b of 6z)	$3 \log_{b} (4 x) - (\log_{b} (5 y) + \log_{b} (6 z))$
201984	Find the Roots (Zeros)	f(x) = log base 9 of 2x+3+ log base 9 of x-2	$f (x) = \log_{9} (2 x + 3) + \log_{9} (x - 2)$
201985	Solve for x	(2x)/(2x+5)=4/5-6/(4x+10)	$\frac{2 x}{2 x + 5} = \frac{4}{5} - \frac{6}{4 x + 10}$
201986	Simplify	(5x)/(7x)+(10x)/(x^2)	$\frac{5 x}{7 x} + \frac{10 x}{x^{2}}$
201987	Simplify	7(63÷(5^2-2^2)-1)	$7 (63 \div (5^{2} - 2^{2}) - 1)$
201988	Solve the System of Equations	2x+y=8 x=5	$2 x + y = 8$ $x = 5$
201989	Simplify	(r^-2s^3)^2(3s)^2	${(r^{- 2} s^{3})}^{2} {(3 s)}^{2}$
201990	Find the End Behavior	f(x)=x^4-4x^3+3x^2+4x-5	$f (x) = x^{4} - 4 x^{3} + 3 x^{2} + 4 x - 5$
201991	Factor	x^4+8x^3+24x^2+32x+16	$x^{4} + 8 x^{3} + 24 x^{2} + 32 x + 16$
201992	Solve for n	2n-15=-5n+4n	$2 n - 15 = - 5 n + 4 n$
201993	Evaluate	(1/2)^2+(1/3)^2	${(\frac{1}{2})}^{2} + {(\frac{1}{3})}^{2}$
201994	Solve for y	-2/3x+y=8	$- \frac{2}{3} x + y = 8$
201995	Solve the Inequality for p	-5<3p+7<=22	$- 5 < 3 p + 7 \leq 22$
201996	Find the Product	(7x^2+x+3)(x-1)	$(7 x^{2} + x + 3) (x - 1)$
201997	Solve for x	x÷8=1.5÷2	$x \div 8 = 1.5 \div 2$
201998	Solve the Inequality for d	-2d<5	$- 2 d < 5$
201999	Simplify	Find the sum of -6x^2-1 and x+9	Find the sum of $- 6 x^{2} - 1$ and $x + 9$
202000	Solve for w	v=lwh for w	$v = l w h$ for $w$