Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
230001	Simplify	(a^-2+a^-1+a^0)/a	$\frac{a^{- 2} + a^{- 1} + a^{0}}{a}$
230002	Divide	( sixth root of 4)÷( cube root of 3)	$\sqrt[6]{4} \div \sqrt[3]{3}$
230003	Simplify	( cube root of 80z)( cube root of 15z^8)	$(\sqrt[3]{80 z}) (\sqrt[3]{15 z^{8}})$
230004	Divide	(-1 1/3)÷2 2/5	$- 1 \frac{1}{3} \div 2 \frac{2}{5}$
230005	Solve for m	8(3m-2)-7m=0	$8 (3 m - 2) - 7 m = 0$
230006	Simplify the Radical Expression	square root of 12-5 square root of 8-7 square root of 20	$\sqrt{12} - 5 \sqrt{8} - 7 \sqrt{20}$
230007	Solve for x	cube root of 18x^2-81x=x	$\sqrt[3]{18 x^{2} - 81 x} = x$
230008	Simplify	( cube root of 12j^3)( cube root of 3j^4)	$(\sqrt[3]{12 j^{3}}) (\sqrt[3]{3 j^{4}})$
230009	Solve for x	-1(2x+4)>=6	$- 1 (2 x + 4) \geq 6$
230010	Simplify	((x^2-16)/(81-x^2)*(2x)/(x^2+10x+24))÷((x-4)/(x^2+15x+54))	$\frac{x^{2} - 16}{81 - x^{2}} \cdot \frac{2 x}{x^{2} + 10 x + 24} \div \frac{x - 4}{x^{2} + 15 x + 54}$
230011	Multiply	(x-5)/(x^4-2x^3)*(x^2-4)/(x^2-3x-10)	$\frac{x - 5}{x^{4} - 2 x^{3}} \cdot \frac{x^{2} - 4}{x^{2} - 3 x - 10}$
230012	Determine if True	cos(-theta)=cos(theta)	$\cos (- θ) = \cos (θ)$
230013	Solve for u	2/(u-5)=6/(3u-15)-4	$\frac{2}{u - 5} = \frac{6}{3 u - 15} - 4$
230014	Evaluate	2(2)^(1/2)	$2 {(2)}^{\frac{1}{2}}$
230015	Determine if True	cos(theta)^2+sin(theta)^2=1	$\cos^{2} (θ) + \sin^{2} (θ) = 1$
230016	Find the Product	(-7c+8d)*0.6	$(- 7 c + 8 d) \cdot 0.6$
230017	Simplify the Radical Expression	square root of (c^-1)/(c^3)	$\sqrt{\frac{c^{- 1}}{c^{3}}}$
230018	Subtract	7/(3x)-2/5	$\frac{7}{3 x} - \frac{2}{5}$
230019	Solve for z	square root of 3z-2 = square root of z-4	$\sqrt{3 z - 2} = \sqrt{z - 4}$
230020	Solve for n	150=(180(n-2))/n	$150 = \frac{180 (n - 2)}{n}$
230021	Solve the Inequality for n	6n<90	$6 n < 90$
230022	Simplify	1/x*2x	$\frac{1}{x} \cdot 2 x$
230023	Divide Using Synthetic Division	3x^3-19x^2-12x-14 divided by x-7	$3 x^{3} - 19 x^{2} - 12 x - 14$ divided by $x - 7$
230024	Graph	y=4-5/2 square root of x-1	$y = 4 - \frac{5}{2} \sqrt{x - 1}$
230025	Solve for x	4 cube root of x-7+1=9	$4 \sqrt[3]{x - 7 + 1} = 9$
230026	Evaluate	log of 10^e	$\log (10^{e})$
230027	Factor	f(x)=6x^2+x-2	$f (x) = 6 x^{2} + x - 2$
230028	Find the LCM	6 and 14	$6$ and $14$
230029	Simplify the Radical Expression	(xy^2)^(1/3)	${(x y^{2})}^{\frac{1}{3}}$
230030	Solve the System of Equations	-2x-3y=48 and -x+2y=-11	$- 2 x - 3 y = 48$ and $- x + 2 y = - 11$
230031	Graph	y<3x+2 , 2y>=6x-4	$y < 3 x + 2$ , $2 y \geq 6 x - 4$
230032	Write as a Single Logarithm	log base 3 of 12+ log base 3 of 4.5- log base 3 of 6	$\log_{3} (12) + \log_{3} (4.5) - \log_{3} (6)$
230033	Find the Roots (Zeros)	(x^2+1)^2	${(x^{2} + 1)}^{2}$
230034	Simplify	( square root of 9+ square root of 4)/( square root of -9+ square root of -4)	$\frac{\sqrt{9} + \sqrt{4}}{\sqrt{- 9} + \sqrt{- 4}}$
230035	Simplify	(-4-5i)^2(2x)	${(- 4 - 5 i)}^{2} (2 x)$
230036	Simplify	((4x)/5)÷(6/(5x^3))	$\frac{4 x}{5} \div \frac{6}{5 x^{3}}$
230037	Evaluate	((7^4)/(7^2))^-1	${(\frac{7^{4}}{7^{2}})}^{- 1}$
230038	Simplify	3a^0(74)	$3 a^{0} (74)$
230039	Solve the Inequality for x	33+4x<=-(x+7)	$33 + 4 x \leq - (x + 7)$
230040	Multiply	7v^310u^3v^58uv^3	$7 v^{3} \cdot 10 u^{3} v^{5} \cdot 8 u v^{3}$
230041	Find the Roots (Zeros)	x^7+128=0	$x^{7} + 128 = 0$
230042	Simplify	((7x+21)/(x^2+5x+6))÷((x+6)/(x+2))	$\frac{7 x + 21}{x^{2} + 5 x + 6} \div \frac{x + 6}{x + 2}$
230043	Simplify	square root of cube root of fourth root of x	$\sqrt{\sqrt[3]{\sqrt[4]{x}}}$
230044	Solve for w	27=w^3	$27 = w^{3}$
230045	Simplify	(x^(-1/2))/(-1/2)	$\frac{x^{- \frac{1}{2}}}{- \frac{1}{2}}$
230046	Factor	16x^2=81	$16 x^{2} = 81$
230047	Solve for m	6(2m-3)-3m=2m-18+m	$6 (2 m - 3) - 3 m = 2 m - 18 + m$
230048	Multiply	(a+b)(3a-b)(2a+7b)	$(a + b) (3 a - b) (2 a + 7 b)$
230049	Simplify	(x-y)/(xy)-(x-z)/(xz)	$\frac{(x - y)}{x y} - \frac{(x - z)}{x z}$
230050	Solve for x	(cos(x)^2)/x-1/5=0	$\frac{\cos^{2} (x)}{x} - \frac{1}{5} = 0$
230051	Divide Using Synthetic Division	3x^2-x-2 by x+4	$3 x^{2} - x - 2$ by $x + 4$
230052	Find the Parallel Line	through: (-1,4) ; parallel to y=-5x+2	through: $(- 1, 4)$ ; parallel to $y = - 5 x + 2$
230053	Find the LCM	12 and 20	$12$ and $20$
230054	Find the x and y Intercepts	v(w)=(60-4w)w^2	$v (w) = (60 - 4 w) w^{2}$
230055	Solve for x	8^x*8^(-x-1)=1/64	$8^{x} \cdot 8^{- x - 1} = \frac{1}{64}$
230056	Evaluate	(2-x)^2+3	${(2 - x)}^{2} + 3$
230057	Simplify	3y^(-4/3)*2y^(1/3)	$3 y^{- \frac{4}{3}} \cdot 2 y^{\frac{1}{3}}$
230058	Solve for x	2=(6x^2-2x+5)/(3x^2-2)	$2 = \frac{6 x^{2} - 2 x + 5}{3 x^{2} - 2}$
230059	Simplify	square root of 2x^6y^5* square root of 2x^2y	$\sqrt{2 x^{6} y^{5}} \cdot \sqrt{2 x^{2} y}$
230060	Write the Fraction in Simplest Form	(12a^8)/((3a^-1)^-1)	$\frac{12 a^{8}}{{(3 a^{- 1})}^{- 1}}$
230061	Simplify	-(4u^8)/(3(u^-1)^4)	$- \frac{4 u^{8}}{3 {(u^{- 1})}^{4}}$
230062	Find the Determinant	[[4,3,9],[3,2,7],[1,4,x]]	$[\begin{array}{c} 4 & 3 & 9 \\ 3 & 2 & 7 \\ 1 & 4 & x \end{array}]$
230063	Simplify	(12/2)(x/(y^5))((y^4)/(x^4))	$(\frac{12}{2}) (\frac{x}{y^{5}}) (\frac{y^{4}}{x^{4}})$
230064	Solve the Rational Equation for x	square root of 8x^2-72=5	$\sqrt{8 x^{2} - 72} = 5$
230065	Simplify	(3.5*10^3)^2	${(3.5 \cdot 10^{3})}^{2}$
230066	Multiply	cube root of 50x^2z^5* cube root of 15y^3z	$\sqrt[3]{50 x^{2} z^{5}} \cdot \sqrt[3]{15 y^{3} z}$
230067	Solve for p	4+2/3(p+1)=3+3/4(p+2)	$4 + \frac{2}{3} (p + 1) = 3 + \frac{3}{4} (p + 2)$
230068	Find the End Behavior	f(x)=x(x+5)^2(x+3)	$f (x) = x {(x + 5)}^{2} (x + 3)$
230069	Evaluate	log base 2 of 56+2 log base 2 of 12- log base 2 of 63	$\log_{2} (56) + 2 \log_{2} (12) - \log_{2} (63)$
230070	Simplify	(i^2-16)/(i+4)	$\frac{i^{2} - 16}{i + 4}$
230071	Simplify	2x^2+6x-5 from 7x^2+3x+4	$2 x^{2} + 6 x - 5$ from $7 x^{2} + 3 x + 4$
230072	Simplify	((x^2+4x+3)/(2x-1))/((x^2+x)/(2x^2-3x+1))	$\frac{\frac{x^{2} + 4 x + 3}{2 x - 1}}{\frac{x^{2} + x}{2 x^{2} - 3 x + 1}}$
230073	Solve in Terms of the Arbitrary Variable Sₙ	S_n=13116 , n=7 , r=3	$S_{n} = 13116$ , $n = 7$ , $r = 3$
230074	Solve for x	1/4(8x-4^2)=0	$\frac{1}{4} (8 x - 4^{2}) = 0$
230075	Find the Degree	2x^3-5x^2+x=0	$2 x^{3} - 5 x^{2} + x = 0$
230076	Graph	y<=-2/3x+3 y<=3/2x	$y \leq - \frac{2}{3} x + 3$ $y \leq \frac{3}{2} x$
230077	Solve the Inequality for a	48>=6-7a	$48 \geq 6 - 7 a$
230078	Solve for θ	2sin(theta)+4=4	$2 \sin (θ) + 4 = 4$
230079	Solve for x	(x+5 1/2)*0.75=5/8	$(x + 5 \frac{1}{2}) \cdot 0.75 = \frac{5}{8}$
230080	Solve by Factoring	10x^2-25=x^2	$10 x^{2} - 25 = x^{2}$
230081	Solve the Inequality for a	5-3/a<7/a	$5 - \frac{3}{a} < \frac{7}{a}$
230082	Solve the System of Equations	x=3-3y x+3y=-6	$x = 3 - 3 y$ $x + 3 y = - 6$
230083	Divide	1/(-1/2)	$\frac{1}{\frac{- 1}{2}}$
230084	Solve the System of Equations	-r+t=5 -2r+t=4	$- r + t = 5$ $- 2 r + t = 4$
230085	Solve the Inequality for r	1+3r>10	$1 + 3 r > 10$
230086	Simplify	(3x square root of 2x)(4x square root of 3x^3)	$(3 x \sqrt{2 x}) (4 x \sqrt{3 x^{3}})$
230087	Graph	F(x)=-x^5+x^2-x	$F (x) = - x^{5} + x^{2} - x$
230088	Solve for x	14x-12(4x+6)=3(x-4)-18	$14 x - 12 (4 x + 6) = 3 (x - 4) - 18$
230089	Solve for h	A=(b*h)/2	$A = \frac{b \times h}{2}$
230090	Factor by Grouping	24x^3y-18x^2+12xy^2	$24 x^{3} y - 18 x^{2} + 12 x y^{2}$
230091	Find the LCD	(7x)/(6x+18) and -2/(x+3)	$\frac{7 x}{6 x + 18}$ and $\frac{- 2}{x + 3}$
230092	Solve the System of Equations	3x^2+y^2=129 2x^2+y^2=113	$3 x^{2} + y^{2} = 129$ $2 x^{2} + y^{2} = 113$
230093	Solve for x	5/3y-4/5x=1	$\frac{5}{3} y - \frac{4}{5} x = 1$
230094	Evaluate	sin(arccos(0))	$\sin (\arccos (0))$
230095	Graph	y>=x 5 y<=x+3	$y \geq x$ $5$ $y \leq x + 3$
230096	Solve for c	-70=-6-2c^2	$- 70 = - 6 - 2 c^{2}$
230097	Evaluate	4(x-3)+5x-x^2	$4 (x - 3) + 5 x - x^{2}$
230098	Multiply	4/71/57/9	$\frac{4}{7} \cdot \frac{1}{5} \cdot \frac{7}{9}$
230099	Simplify	((8x^3)/9)÷(3/(2x^2))	$\frac{8 x^{3}}{9} \div \frac{3}{2 x^{2}}$
230100	Simplify	(x^2-2y)(x^4+2x^2y+4y^2)	$(x^{2} - 2 y) (x^{4} + 2 x^{2} y + 4 y^{2})$