Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
230001	Simplify the Radical Expression	square root of (c^-1)/(c^3)	$\sqrt{\frac{c^{- 1}}{c^{3}}}$
230002	Subtract	7/(3x)-2/5	$\frac{7}{3 x} - \frac{2}{5}$
230003	Solve for z	square root of 3z-2 = square root of z-4	$\sqrt{3 z - 2} = \sqrt{z - 4}$
230004	Solve for n	150=(180(n-2))/n	$150 = \frac{180 (n - 2)}{n}$
230005	Solve the Inequality for n	6n<90	$6 n < 90$
230006	Simplify	1/x*2x	$\frac{1}{x} \cdot 2 x$
230007	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 $x - 7$
230008	Graph	y=4-5/2 square root of x-1	$y = 4 - \frac{5}{2} \sqrt{x - 1}$
230009	Solve for x	4 cube root of x-7+1=9	$4 \sqrt[3]{x - 7 + 1} = 9$
230010	Evaluate	log of 10^e	$\log (10^{e})$
230011	Factor	f(x)=6x^2+x-2	$f (x) = 6 x^{2} + x - 2$
230012	Find the LCM	6 and 14	$6$ and $14$
230013	Simplify the Radical Expression	(xy^2)^(1/3)	${(x y^{2})}^{\frac{1}{3}}$
230014	Solve the System of Equations	-2x-3y=48 and -x+2y=-11	$- 2 x - 3 y = 48$ and $- x + 2 y = - 11$
230015	Graph	y<3x+2 , 2y>=6x-4	$y < 3 x + 2$ , $2 y \geq 6 x - 4$
230016	Write as a Single Logarithm	log base 3 of 12+ log base 3 of 4.5- log base 3 of 6	$\log_{3} (12) + \log_{3} (4.5) - \log_{3} (6)$
230017	Find the Roots (Zeros)	(x^2+1)^2	${(x^{2} + 1)}^{2}$
230018	Simplify	( square root of 9+ square root of 4)/( square root of -9+ square root of -4)	$\frac{\sqrt{9} + \sqrt{4}}{\sqrt{- 9} + \sqrt{- 4}}$
230019	Simplify	(-4-5i)^2(2x)	${(- 4 - 5 i)}^{2} (2 x)$
230020	Simplify	((4x)/5)÷(6/(5x^3))	$\frac{4 x}{5} \div \frac{6}{5 x^{3}}$
230021	Evaluate	((7^4)/(7^2))^-1	${(\frac{7^{4}}{7^{2}})}^{- 1}$
230022	Simplify	3a^0(74)	$3 a^{0} (74)$
230023	Solve the Inequality for x	33+4x<=-(x+7)	$33 + 4 x \leq - (x + 7)$
230024	Multiply	7v^310u^3v^58uv^3	$7 v^{3} \cdot 10 u^{3} v^{5} \cdot 8 u v^{3}$
230025	Find the Roots (Zeros)	x^7+128=0	$x^{7} + 128 = 0$
230026	Simplify	((7x+21)/(x^2+5x+6))÷((x+6)/(x+2))	$\frac{7 x + 21}{x^{2} + 5 x + 6} \div \frac{x + 6}{x + 2}$
230027	Simplify	square root of cube root of fourth root of x	$\sqrt{\sqrt[3]{\sqrt[4]{x}}}$
230028	Solve for w	27=w^3	$27 = w^{3}$
230029	Simplify	(x^(-1/2))/(-1/2)	$\frac{x^{- \frac{1}{2}}}{- \frac{1}{2}}$
230030	Factor	16x^2=81	$16 x^{2} = 81$
230031	Solve for m	6(2m-3)-3m=2m-18+m	$6 (2 m - 3) - 3 m = 2 m - 18 + m$
230032	Multiply	(a+b)(3a-b)(2a+7b)	$(a + b) (3 a - b) (2 a + 7 b)$
230033	Simplify	(x-y)/(xy)-(x-z)/(xz)	$\frac{(x - y)}{x y} - \frac{(x - z)}{x z}$
230034	Solve for x	(cos(x)^2)/x-1/5=0	$\frac{\cos^{2} (x)}{x} - \frac{1}{5} = 0$
230035	Divide Using Synthetic Division	3x^2-x-2 by x+4	$3 x^{2} - x - 2$ by $x + 4$
230036	Find the Parallel Line	through: (-1,4) ; parallel to y=-5x+2	through: $(- 1, 4)$ ; parallel to $y = - 5 x + 2$
230037	Find the LCM	12 and 20	$12$ and $20$
230038	Find the x and y Intercepts	v(w)=(60-4w)w^2	$v (w) = (60 - 4 w) w^{2}$
230039	Solve for x	8^x*8^(-x-1)=1/64	$8^{x} \cdot 8^{- x - 1} = \frac{1}{64}$
230040	Evaluate	(2-x)^2+3	${(2 - x)}^{2} + 3$
230041	Simplify	3y^(-4/3)*2y^(1/3)	$3 y^{- \frac{4}{3}} \cdot 2 y^{\frac{1}{3}}$
230042	Solve for x	2=(6x^2-2x+5)/(3x^2-2)	$2 = \frac{6 x^{2} - 2 x + 5}{3 x^{2} - 2}$
230043	Simplify	square root of 2x^6y^5* square root of 2x^2y	$\sqrt{2 x^{6} y^{5}} \cdot \sqrt{2 x^{2} y}$
230044	Write the Fraction in Simplest Form	(12a^8)/((3a^-1)^-1)	$\frac{12 a^{8}}{{(3 a^{- 1})}^{- 1}}$
230045	Simplify	-(4u^8)/(3(u^-1)^4)	$- \frac{4 u^{8}}{3 {(u^{- 1})}^{4}}$
230046	Find the Determinant	[[4,3,9],[3,2,7],[1,4,x]]	$[\begin{array}{c} 4 & 3 & 9 \\ 3 & 2 & 7 \\ 1 & 4 & x \end{array}]$
230047	Simplify	(12/2)(x/(y^5))((y^4)/(x^4))	$(\frac{12}{2}) (\frac{x}{y^{5}}) (\frac{y^{4}}{x^{4}})$
230048	Solve the Rational Equation for x	square root of 8x^2-72=5	$\sqrt{8 x^{2} - 72} = 5$
230049	Simplify	(3.5*10^3)^2	${(3.5 \cdot 10^{3})}^{2}$
230050	Multiply	cube root of 50x^2z^5* cube root of 15y^3z	$\sqrt[3]{50 x^{2} z^{5}} \cdot \sqrt[3]{15 y^{3} z}$
230051	Solve for p	4+2/3(p+1)=3+3/4(p+2)	$4 + \frac{2}{3} (p + 1) = 3 + \frac{3}{4} (p + 2)$
230052	Find the End Behavior	f(x)=x(x+5)^2(x+3)	$f (x) = x {(x + 5)}^{2} (x + 3)$
230053	Evaluate	log base 2 of 56+2 log base 2 of 12- log base 2 of 63	$\log_{2} (56) + 2 \log_{2} (12) - \log_{2} (63)$
230054	Simplify	(i^2-16)/(i+4)	$\frac{i^{2} - 16}{i + 4}$
230055	Simplify	2x^2+6x-5 from 7x^2+3x+4	$2 x^{2} + 6 x - 5$ from $7 x^{2} + 3 x + 4$
230056	Simplify	((x^2+4x+3)/(2x-1))/((x^2+x)/(2x^2-3x+1))	$\frac{\frac{x^{2} + 4 x + 3}{2 x - 1}}{\frac{x^{2} + x}{2 x^{2} - 3 x + 1}}$
230057	Solve in Terms of the Arbitrary Variable Sₙ	S_n=13116 , n=7 , r=3	$S_{n} = 13116$ , $n = 7$ , $r = 3$
230058	Solve for x	1/4(8x-4^2)=0	$\frac{1}{4} (8 x - 4^{2}) = 0$
230059	Find the Degree	2x^3-5x^2+x=0	$2 x^{3} - 5 x^{2} + x = 0$
230060	Graph	y<=-2/3x+3 y<=3/2x	$y \leq - \frac{2}{3} x + 3$ $y \leq \frac{3}{2} x$
230061	Solve the Inequality for a	48>=6-7a	$48 \geq 6 - 7 a$
230062	Solve for θ	2sin(theta)+4=4	$2 \sin (θ) + 4 = 4$
230063	Solve for x	(x+5 1/2)*0.75=5/8	$(x + 5 \frac{1}{2}) \cdot 0.75 = \frac{5}{8}$
230064	Solve by Factoring	10x^2-25=x^2	$10 x^{2} - 25 = x^{2}$
230065	Solve the Inequality for a	5-3/a<7/a	$5 - \frac{3}{a} < \frac{7}{a}$
230066	Solve the System of Equations	x=3-3y x+3y=-6	$x = 3 - 3 y$ $x + 3 y = - 6$
230067	Divide	1/(-1/2)	$\frac{1}{\frac{- 1}{2}}$
230068	Solve the System of Equations	-r+t=5 -2r+t=4	$- r + t = 5$ $- 2 r + t = 4$
230069	Solve the Inequality for r	1+3r>10	$1 + 3 r > 10$
230070	Simplify	(3x square root of 2x)(4x square root of 3x^3)	$(3 x \sqrt{2 x}) (4 x \sqrt{3 x^{3}})$
230071	Graph	F(x)=-x^5+x^2-x	$F (x) = - x^{5} + x^{2} - x$
230072	Solve for x	14x-12(4x+6)=3(x-4)-18	$14 x - 12 (4 x + 6) = 3 (x - 4) - 18$
230073	Solve for h	A=(b*h)/2	$A = \frac{b \times h}{2}$
230074	Factor by Grouping	24x^3y-18x^2+12xy^2	$24 x^{3} y - 18 x^{2} + 12 x y^{2}$
230075	Find the LCD	(7x)/(6x+18) and -2/(x+3)	$\frac{7 x}{6 x + 18}$ and $\frac{- 2}{x + 3}$
230076	Solve the System of Equations	3x^2+y^2=129 2x^2+y^2=113	$3 x^{2} + y^{2} = 129$ $2 x^{2} + y^{2} = 113$
230077	Solve for x	5/3y-4/5x=1	$\frac{5}{3} y - \frac{4}{5} x = 1$
230078	Evaluate	sin(arccos(0))	$\sin (\arccos (0))$
230079	Graph	y>=x 5 y<=x+3	$y \geq x$ $5$ $y \leq x + 3$
230080	Solve for c	-70=-6-2c^2	$- 70 = - 6 - 2 c^{2}$
230081	Evaluate	4(x-3)+5x-x^2	$4 (x - 3) + 5 x - x^{2}$
230082	Multiply	4/71/57/9	$\frac{4}{7} \cdot \frac{1}{5} \cdot \frac{7}{9}$
230083	Simplify	((8x^3)/9)÷(3/(2x^2))	$\frac{8 x^{3}}{9} \div \frac{3}{2 x^{2}}$
230084	Simplify	(x^2-2y)(x^4+2x^2y+4y^2)	$(x^{2} - 2 y) (x^{4} + 2 x^{2} y + 4 y^{2})$
230085	Simplify	6 square root of b-3 square root of a+8 square root of a-10 square root of b	$6 \sqrt{b} - 3 \sqrt{a} + 8 \sqrt{a} - 10 \sqrt{b}$
230086	Factor by Grouping	15xy+30x^2y^2	$15 x y + 30 x^{2} y^{2}$
230087	Solve the Inequality for b	-2+b<3	$- 2 + b < 3$
230088	Solve the System of Inequalities	7x-8>9(x-1) and 3x+2<5x+3	$7 x - 8 > 9 (x - 1)$ and $3 x + 2 < 5 x + 3$
230089	Evaluate	natural log of \|e^2\|	$\ln (\| e^{2} \|)$
230090	Simplify	(1/2g^2+7/2)+(3g^2-4/5g+1/4)	$(\frac{1}{2} g^{2} + \frac{7}{2}) + (3 g^{2} - \frac{4}{5} g + \frac{1}{4})$
230091	Describe the Transformation	y=2(x)^3-5	$y = 2 {(x)}^{3} - 5$
230092	Find the Remainder	(9x^2+3x^3-14)÷(x^2+x-3)	$(9 x^{2} + 3 x^{3} - 14) \div (x^{2} + x - 3)$
230093	Simplify	(8a^5-4)+(3a^5+a-2)	$(8 a^{5} - 4) + (3 a^{5} + a - 2)$
230094	Find the Slope and y-intercept	6x+-2y=18	$6 x + - 2 y = 18$
230095	Convert to a Simplified Fraction	45% as a fraction	$45 %$ as a fraction
230096	Simplify	2/3(4)^(3/2)	$\frac{2}{3} {(4)}^{\frac{3}{2}}$
230097	Solve the Inequality for x	y>2x+1	$y > 2 x + 1$
230098	Evaluate	3 cube root of x=12	$3 \sqrt[3]{x} = 12$
230099	Solve for t	7/3t-5=19	$\frac{7}{3} t - 5 = 19$
230100	Factor by Grouping	8x^2+28xy	$8 x^{2} + 28 x y$