Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
210001	Simplify	(-4b+15-7k)-(6+4b-2k)	$(- 4 b + 15 - 7 k) - (6 + 4 b - 2 k)$
210002	Solve for v	-2v+14v+3=8v+27	$- 2 v + 14 v + 3 = 8 v + 27$
210003	Simplify the Radical Expression	( cube root of 9)/( cube root of 6)	$\frac{\sqrt[3]{9}}{\sqrt[3]{6}}$
210004	Expand the Logarithmic Expression	log base 3 of 81/((yz)^5)	$\log_{3} (\frac{81}{{(y z)}^{5}})$
210005	Solve by Substitution	x=-7y+34 x+7y=32	$x = - 7 y + 34$ $x + 7 y = 32$
210006	Solve the Inequality for w	w-222<=-13	$w - 222 \leq - 13$
210007	Simplify	(1-sin(x)^2)/(1-cos(x)^2)	$\frac{1 - \sin^{2} (x)}{1 - \cos^{2} (x)}$
210008	Convert to a Decimal	310deg	$310$ degrees
210009	Evaluate	x-6 = square root of 3x	$x - 6 = \sqrt{3 x}$
210010	Solve for t	h=(3 cube root of t)/2	$h = \frac{3 \sqrt[3]{t}}{2}$
210011	Simplify	(x^2+x-2)/(-x^2-2x+3)	$\frac{x^{2} + x - 2}{- x^{2} - 2 x + 3}$
210012	Simplify	(2+6i)+(-3+-9i)	$(2 + 6 i) + (- 3 + - 9 i)$
210013	Solve the Inequality for x	-5(x+3)>2x+7+5x	$- 5 (x + 3) > 2 x + 7 + 5 x$
210014	Multiply	7xy(3x^2+4y+2)	$7 x y (3 x^{2} + 4 y + 2)$
210015	Simplify	5xy^2(3+2y)	$5 x y^{2} (3 + 2 y)$
210016	Simplify	(4^-2(2)^-2)/(2^-1)	$\frac{4^{- 2} {(2)}^{- 2}}{2^{- 1}}$
210017	Simplify	fourth root of 81x^8* cube root of 27x^9	$\sqrt[4]{81 x^{8}} \cdot \sqrt[3]{27 x^{9}}$
210018	Solve for x	-3+8x-2x=5-12-9x	$- 3 + 8 x - 2 x = 5 - 12 - 9 x$
210019	Evaluate	x^2-9=0	$x^{2} - 9 = 0$
210020	Solve the System of Inequalities	5+m>-2 OR 2m<-20	$5 + m > - 2$ OR $2 m < - 20$
210021	Evaluate	(2xy)^2(-3x^2)(4y^2)	${(2 x y)}^{2} (- 3 x^{2}) (4 y^{2})$
210022	Evaluate the Function	f(x)=0.5^x , x=-3	$f (x) = {0.5}^{x}$ , $x = - 3$
210023	Solve for x	-1/3-1/12x=-1/2	$- \frac{1}{3} - \frac{1}{12} x = - \frac{1}{2}$
210024	Find the Inverse	y=(1/4x+6)^3	$y = {(\frac{1}{4} x + 6)}^{3}$
210025	Evaluate	i^17i^30i^6*i^19	$i^{17} \cdot i^{30} \cdot i^{6} \cdot i^{19}$
210026	Find the Exact Value	cos((3pi)/2)-sin((17pi)/6)	$\cos (\frac{3 π}{2}) - \sin (\frac{17 π}{6})$
210027	Solve for x	y=9-7x , y=37	$y = 9 - 7 x$ , $y = 37$
210028	Solve for a	a/c+3=13	$\frac{a}{c} + 3 = 13$
210029	Solve for y	82=1-3y^3	$82 = 1 - 3 y^{3}$
210030	Simplify	(x+1)/(3x^2+6x)-(1-2x)/(3x^2+6x)	$\frac{x + 1}{3 x^{2} + 6 x} - \frac{1 - 2 x}{3 x^{2} + 6 x}$
210031	Simplify	5x+6y-3(4y+2x)-8x	$5 x + 6 y - 3 (4 y + 2 x) - 8 x$
210032	Solve by Addition/Elimination	3x+y=1/3 2x-3y=8/3	$3 x + y = \frac{1}{3}$ $2 x - 3 y = \frac{8}{3}$
210033	Graph	y=3cos(pi)(x+1/2)	$y = 3 \cos (π) (x + \frac{1}{2})$
210034	Evaluate	(3.0-19)/(3+3.0)	$\frac{(3 - 19)}{(3 + 3)}$
210035	Evaluate	(-4-5)/(8-2)	$\frac{- 4 - 5}{8 - 2}$
210036	Solve the Rational Equation for v	square root of 3-2v+17=20	$\sqrt{3 - 2 v} + 17 = 20$
210037	Graph	3y>=9/2x	$3 y \geq \frac{9}{2} x$
210038	Evaluate	(1/2-5/3)^2	${(\frac{1}{2} - \frac{5}{3})}^{2}$
210039	Combine Like Terms	5b+3a-2a-10b	$5 b + 3 a - 2 a - 10 b$
210040	Solve for x	(2x-8)/(3x)+2/3=2	$\frac{2 x - 8}{3 x} + \frac{2}{3} = 2$
210041	Multiply	6 square root of 15y^4*2 square root of 20y^2	$6 \sqrt{15 y^{4}} \cdot 2 \sqrt{20 y^{2}}$
210042	Subtract	9/12-2/4	$\frac{9}{12} - \frac{2}{4}$
210043	Solve by Graphing	y=-5/3x-6 2x-3y=-24	$y = - \frac{5}{3} x - 6$ $2 x - 3 y = - 24$
210044	Find the x and y Intercepts	-x-y=1/2	$- x - y = \frac{1}{2}$
210045	Simplify	fourth root of 27* square root of 3* sixth root of 81^3	$\sqrt[4]{27} \cdot \sqrt{3} \cdot \sqrt[6]{81^{3}}$
210046	Evaluate the Function	g(r)=25-3r	$g (r) = 25 - 3 r$
210047	Factor	27p^3-1/216-9/2p^2+1/4p	$27 p^{3} - \frac{1}{216} - \frac{9}{2} p^{2} + \frac{1}{4} p$
210048	Graph	y=3sin(-x/3)	$y = 3 \sin (- \frac{x}{3})$
210049	Simplify	(5y^3)(2y)(y^2)	$(5 y^{3}) (2 y) (y^{2})$
210050	Solve for x	(3x+2)÷5=31	$(3 x + 2) \div 5 = 31$
210051	Simplify	(3+ square root of -4)(4+ square root of -1)	$(3 + \sqrt{- 4}) (4 + \sqrt{- 1})$
210052	Simplify	fourth root of square root of x^7	$\sqrt[4]{\sqrt[2]{x^{7}}}$
210053	Simplify	((6-x)/-9*(-2x)/(x^2-13x+42))÷((6x^2+42x)/(x^2-49))	$\frac{6 - x}{- 9} \cdot \frac{- 2 x}{x^{2} - 13 x + 42} \div \frac{6 x^{2} + 42 x}{x^{2} - 49}$
210054	Write Using Positive Exponents	2x^3y^-3*2x^-1y^3	$2 x^{3} y^{- 3} \cdot 2 x^{- 1} y^{3}$
210055	Simplify	5x^3y^3 cube root of 8x^9y^6	$5 x^{3} y^{3} \sqrt[3]{8 x^{9} y^{6}}$
210056	Simplify	cube root of 7* cube root of 20* cube root of 14* cube root of 98	$\sqrt[3]{7} \cdot \sqrt[3]{20} \cdot \sqrt[3]{14} \cdot \sqrt[3]{98}$
210057	Simplify	(5x^2+25x)/2*(4x)/(x+5)	$\frac{5 x^{2} + 25 x}{2} \cdot \frac{4 x}{x + 5}$
210058	Multiply	square root of 3* cube root of 9	$\sqrt{3} \cdot \sqrt[3]{9}$
210059	Write the Fraction in Simplest Form	((4h^4)^4)/(4h^-8)	$\frac{{(4 h^{4})}^{4}}{4 h^{- 8}}$
210060	Subtract	-5x^2+7x+1-8x^2+x-10	$- 5 x^{2} + 7 x + 1 - 8 x^{2} + x - 10$
210061	Simplify	square root of fourth root of x^6	$\sqrt{\sqrt[4]{x^{6}}}$
210062	Find All Complex Solutions	\|x+7\|+6=9	$\| x + 7 \| + 6 = 9$
210063	Combine Like Terms	x+5x+x-3x	$x + 5 x + x - 3 x$
210064	Simplify	cube root of (8x^6)/(y^-12)	$\sqrt[3]{\frac{8 x^{6}}{y^{- 12}}}$
210065	Evaluate Using the Given Value	2x^5-7x^4-5x^3+18x^2-1 at x=-1	$2 x^{5} - 7 x^{4} - 5 x^{3} + 18 x^{2} - 1$ at $x = - 1$
210066	Simplify	2x+3(x-2)-3(x-6)	$2 x + 3 (x - 2) - 3 (x - 6)$
210067	Find the Product	a^4(3a^2-2a+1)	$a^{4} (3 a^{2} - 2 a + 1)$
210068	Simplify	10 root of x^15	$\sqrt[10]{x^{15}}$
210069	Solve for x	log base 2x of 16=-2	$\log_{2 x} (16) = - 2$
210070	Solve for x	1 2/3÷x=2 7/9	$1 \frac{2}{3} \div x = 2 \frac{7}{9}$
210071	Find the Complex Conjugate	square root of 8-6	$\sqrt{8} - 6$
210072	Simplify	square root of cube root of 5	$\sqrt{\sqrt[3]{5}}$
210073	Determine if a Polynomial	6m^3-14m^2+3/4	$6 m^{3} - 14 m^{2} + \frac{3}{4}$
210074	Evaluate	30% of 20	$30 %$ of $20$
210075	Simplify	((2c^3d^5)/(5g^2))^5	${(\frac{2 c^{3} d^{5}}{5 g^{2}})}^{5}$
210076	Simplify the Radical Expression	6 cube root of 25ab^2*5 cube root of 5a^2b	$6 \sqrt[3]{25 a b^{2}} \cdot 5 \sqrt[3]{5 a^{2} b}$
210077	Simplify	(ab^2+ba^3)-(4a^3b-ab^2-5ab)	$(a b^{2} + b a^{3}) - (4 a^{3} b - a b^{2} - 5 a b)$
210078	Solve the Inequality for x	(\|2x\|)/-6>-2	$\frac{\| 2 x \|}{- 6} > - 2$
210079	Simplify	(2/(2^2))^2	${(\frac{2}{2^{2}})}^{2}$
210080	Find the Holes in the Graph	f(x)=(x^3-2x^2-8x)/(3x^2-27)	$f (x) = \frac{x^{3} - 2 x^{2} - 8 x}{3 x^{2} - 27}$
210081	Subtract	9x^2+7x-2-8x-10	$9 x^{2} + 7 x - 2 - 8 x - 10$
210082	Simplify	(2^3)/(3^3)	$\frac{2^{3}}{3^{3}}$
210083	Simplify	fourth root of 1/4	$\sqrt[4]{\frac{1}{4}}$
210084	Find the x and y Intercepts	f(x)=(x^3-2x^2-8x)/(3x^2-27)	$f (x) = \frac{x^{3} - 2 x^{2} - 8 x}{3 x^{2} - 27}$
210085	Find the Roots (Zeros)	x^4+2x^3-4x^2+x-10=0	$x^{4} + 2 x^{3} - 4 x^{2} + x - 10 = 0$
210086	Solve the System of Equations	y=x^2+2x-19 7y-14x=-21	$y = x^{2} + 2 x - 19$ $7 y - 14 x = - 21$
210087	Simplify	(x^2+14x+40)/(9x-x^2)3/(x^2+6x+8)(x^2-7x-18)/(-x-10)	$\frac{x^{2} + 14 x + 40}{9 x - x^{2}} \cdot \frac{3}{x^{2} + 6 x + 8} \cdot \frac{x^{2} - 7 x - 18}{- x - 10}$
210088	Simplify the Radical Expression	- square root of -7	$- \sqrt{- 7}$
210089	Simplify the Radical Expression	(x^(5/4))^2	${(x^{\frac{5}{4}})}^{2}$
210090	Combine Like Terms	(5a+4)-(5a+3)	$(5 a + 4) - (5 a + 3)$
210091	Convert to Interval Notation	-5x-3>=2 and 4x-2>=5	$- 5 x - 3 \geq 2$ and $4 x - 2 \geq 5$
210092	Simplify	(-3x^-3yz^0)^-6	${(- 3 x^{- 3} y z^{0})}^{- 6}$
210093	Simplify	(3x^-3)^-4x^-4	${(3 x^{- 3})}^{- 4} x^{- 4}$
210094	Solve for x	-(x+1)/3=(x-3)/(x-6)	$- \frac{x + 1}{3} = \frac{x - 3}{x - 6}$
210095	Simplify	i^16+i^10+i^8-i^14	$i^{16} + i^{10} + i^{8} - i^{14}$
210096	Find the Holes in the Graph	(-3x^2+21x-36)/(5x-20)	$\frac{- 3 x^{2} + 21 x - 36}{5 x - 20}$
210097	Find the Intersection	[-16,12) intersect (11,18)	$[- 16, 12) \cap (11, 18)$
210098	Solve by Factoring	27x^3+27x^2+9x+1=0	$27 x^{3} + 27 x^{2} + 9 x + 1 = 0$
210099	Solve the Inequality for z	-5z+1<-14	$- 5 z + 1 < - 14$
210100	Find the x and y Intercepts	f(x)=-1/4e^(x-3)	$f (x) = - \frac{1}{4} e^{x - 3}$