Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
201701	Solve for x	log base -1/2 of x=-7	$\log_{- \frac{1}{2}} (x) = - 7$
201702	Evaluate	(1+ log of 3)/(2+ square root of 5)	$\frac{1 + \log (3)}{2 + \sqrt{5}}$
201703	Solve for n	8n-6(-5n-3)=18+7n	$8 n - 6 (- 5 n - 3) = 18 + 7 n$
201704	Simplify	(k+5)/(k+1)+8/(k^2-1)	$\frac{k + 5}{k + 1} + \frac{8}{k^{2} - 1}$
201705	Simplify	(7- square root of 5)/(4+ square root of 5)	$\frac{7 - \sqrt{5}}{4 + \sqrt{5}}$
201706	Simplify the Radical Expression	square root of 16x	$\sqrt{16 x}$
201707	Identify the Sequence	1/2 , 7/6 , 11/6 , 5/2	$\frac{1}{2}$ , $\frac{7}{6}$ , $\frac{11}{6}$ , $\frac{5}{2}$
201708	Simplify	((2pq)(3p^2q^4))/(-6pq^5)	$\frac{(2 p q) (3 p^{2} q^{4})}{- 6 p q^{5}}$
201709	Factor	F(X)=x^2-5x+6	$F (X) = x^{2} - 5 x + 6$
201710	Evaluate	(1/(216^(-2/3)))	$(\frac{1}{216^{- \frac{2}{3}}})$
201711	Find the Perpendicular Line	y+2=1/3(x-5) , (-4,3)	$y + 2 = \frac{1}{3} (x - 5)$ , $(- 4, 3)$
201712	Describe the Transformation	f(x)=-(4/3)^(2(x-3))+1	$f (x) = - {(\frac{4}{3})}^{2 (x - 3)} + 1$
201713	Find the Inverse	f(x)=- cube root of (2x+4)/3	$f (x) = - \sqrt[3]{\frac{2 x + 4}{3}}$
201714	Simplify	1/(i+2)	$\frac{1}{i + 2}$
201715	Simplify	x(4x+5)+3(2x^2-4x+1)	$x (4 x + 5) + 3 (2 x^{2} - 4 x + 1)$
201716	Solve the System of Equations	3x-18y+6z=7 7x-2y+z=1 -x+6y-2z=-2	$3 x - 18 y + 6 z = 7$ $7 x - 2 y + z = 1$ $- x + 6 y - 2 z = - 2$
201717	Solve for x	(2x+5)/10=42/20	$\frac{2 x + 5}{10} = \frac{42}{20}$
201718	Simplify the Radical Expression	fourth root of 1/256	$\sqrt[4]{\frac{1}{256}}$
201719	Simplify	(3x)/(4x^2+4)-(2x^2)/(x^4-1)	$\frac{3 x}{4 x^{2} + 4} - \frac{2 x^{2}}{x^{4} - 1}$
201720	Solve for x	1-5/(x-1)=-10/(x^2-1)	$1 - \frac{5}{x - 1} = - \frac{10}{x^{2} - 1}$
201721	Simplify	(24x^5)/(18x^2-12x^3)	$\frac{24 x^{5}}{18 x^{2} - 12 x^{3}}$
201722	Simplify the Radical Expression	square root of -6* square root of -12* square root of -5	$\sqrt{- 6} \cdot \sqrt{- 12} \cdot \sqrt{- 5}$
201723	Factor	15a-3ab+4b-20	$15 a - 3 a b + 4 b - 20$
201724	Find the Exact Value	tan(-225 degrees )+tan(405 degrees )	$\tan (- 225 °) + \tan (405 °)$
201725	Solve the System of Equations	x+y=27 y=x+3	$x + y = 27$ $y = x + 3$
201726	Solve the Inequality for x	3(2x-3)<(-5)\|7-10\|	$3 (2 x - 3) < (- 5) \| 7 - 10 \|$
201727	Simplify	((2a^2+14a)/(8a^2))÷(10a+70)	$\frac{2 a^{2} + 14 a}{8 a^{2}} \div (10 a + 70)$
201728	Simplify	(x^2-x)/(x^2+x)	$\frac{x^{2} - x}{x^{2} + x}$
201729	Simplify	(-3g^-2hk^-2)/(-6h^0)	$\frac{- 3 g^{- 2} h k^{- 2}}{- 6 h^{0}}$
201730	Solve by Graphing	2x+y=8 x=5	$2 x + y = 8$ $x = 5$
201731	Solve for f	-8(1.14+1.6f)=-(1.92+4.8f)	$- 8 (1.14 + 1.6 f) = - (1.92 + 4.8 f)$
201732	Solve for h	5h-9=-16+6h	$5 h - 9 = - 16 + 6 h$
201733	Simplify	( cube root of 729)^-2	${(\sqrt[3]{729})}^{- 2}$
201734	Find the Equation Using Slope-Intercept Form	(1,-5) ; slope -3/2	$(1, - 5)$ ; slope $- \frac{3}{2}$
201735	Simplify	((-2mn^2)^-3)/(4m^-6n^4)	$\frac{{(- 2 m n^{2})}^{- 3}}{4 m^{- 6} n^{4}}$
201736	Simplify	(5x(x-y))/(x^3(y-x))	$\frac{5 x (x - y)}{x^{3} (y - x)}$
201737	Factor	f(x)=64x^3-240x^2+300x-125 ?	$f (x) = 64 x^{3} - 240 x^{2} + 300 x - 125$ ?
201738	Simplify	2x+3y-2/3x+1 1/2y	$2 x + 3 y - \frac{2}{3} x + 1 \frac{1}{2} y$
201739	Divide	( square root of 12)/( fourth root of 3)	$\frac{\sqrt{12}}{\sqrt[4]{3}}$
201740	Solve for x	-2(11-12x)=-4(1-6x)	$- 2 (11 - 12 x) = - 4 (1 - 6 x)$
201741	Solve for x	(1/16)^(3x)=64^(2(x+8))	${(\frac{1}{16})}^{3 x} = 64^{2 (x + 8)}$
201742	Solve for G	3+q^2=G/R	$3 + q^{2} = \frac{G}{R}$
201743	Simplify the Radical Expression	(64x^3y^-12)^(1/6)	${(64 x^{3} y^{- 12})}^{\frac{1}{6}}$
201744	Factor	8a(x+y)-(x+y)	$8 a (x + y) - (x + y)$
201745	Simplify	(4a-3b)/(3ab)+3/6	$\frac{4 a - 3 b}{3 a b} + \frac{3}{6}$
201746	Solve for x	2(8-x)=3x	$2 (8 - x) = 3 x$
201747	Write in y=mx+b Form	2(x-3)+3y=0	$2 (x - 3) + 3 y = 0$
201748	Simplify	square root of (x+15)^4	$\sqrt{{(x + 15)}^{4}}$
201749	Write the Fraction in Simplest Form	1/(2+ square root of 5)	$\frac{1}{2 + \sqrt{5}}$
201750	Solve for z	4=8/(5+z)	$4 = \frac{8}{5 + z}$
201751	Simplify	k(k^3)	$k (k^{3})$
201752	Simplify	(-p+q)(-1-q)	$(- p + q) (- 1 - q)$
201753	Simplify	((3x)^-3y^4)/(-x^2y^-6)	$\frac{{(3 x)}^{- 3} y^{4}}{- x^{2} y^{- 6}}$
201754	Solve for y	3/5y+7=3-1/5y	$\frac{3}{5} y + 7 = 3 - \frac{1}{5} y$
201755	Simplify	(c^2-cd-d^2)(c+d)	$(c^{2} - c d - d^{2}) (c + d)$
201756	Simplify the Radical Expression	6 square root of 5+2 square root of 5-3 square root of 5	$6 \sqrt{5} + 2 \sqrt{5} - 3 \sqrt{5}$
201757	Evaluate	5^(3-2x)=5^(-x)	$5^{3 - 2 x} = 5^{- x}$
201758	Factor	x(y-5)-y(5-y)	$x (y - 5) - y (5 - y)$
201759	Evaluate	((3m^-5n^2)/(4m^-2n^0))^2*((mn^4)/(9n))^2	${(\frac{3 m^{- 5} n^{2}}{4 m^{- 2} n^{0}})}^{2} \cdot {(\frac{m n^{4}}{9 n})}^{2}$
201760	Solve for x	cube root of 5x+10- cube root of x-4=0	$\sqrt[3]{5 x + 10} - \sqrt[3]{x - 4} = 0$
201761	Divide Using Long Polynomial Division	(x^4+2x^2-x+5)÷(x^2-x+1)	$(x^{4} + 2 x^{2} - x + 5) \div (x^{2} - x + 1)$
201762	Simplify	4x^0+5	$4 x^{0} + 5$
201763	Simplify	((8b^4)/(4b^2))^3	${(\frac{8 b^{4}}{4 b^{2}})}^{3}$
201764	Find the Roots (Zeros)	y=2x^3+x^2-x	$y = 2 x^{3} + x^{2} - x$
201765	Simplify	((9m+63)/(m^2+11m+28))÷(9/(8m+32))	$\frac{9 m + 63}{m^{2} + 11 m + 28} \div \frac{9}{8 m + 32}$
201766	Simplify the Radical Expression	-3 square root of 20- square root of 5	$- 3 \sqrt{20} - \sqrt{5}$
201767	Solve for y	5y+2-2y=8y-4-2y	$5 y + 2 - 2 y = 8 y - 4 - 2 y$
201768	Solve for x	2x^2-x+55=x+5	$2 x^{2} - x + 55 = x + 5$
201769	Describe the Transformation	f(x)=(4/5)^(x+2)	$f (x) = {(\frac{4}{5})}^{x + 2}$
201770	Simplify	sixth root of (t^-8)/(t^-4)	$\sqrt[6]{\frac{t^{- 8}}{t^{- 4}}}$
201771	Simplify	square root of 15* square root of 35/12	$\sqrt{15} \cdot \sqrt{\frac{35}{12}}$
201772	Simplify	9x^3+2x^2+5x^3+4x^2	$9 x^{3} + 2 x^{2} + 5 x^{3} + 4 x^{2}$
201773	Simplify	(5y^2+10y)/(6y^4+12y^3)	$\frac{5 y^{2} + 10 y}{6 y^{4} + 12 y^{3}}$
201774	Simplify	(3x)/(x+6)+(2x)/(x+6)	$\frac{3 x}{x + 6} + \frac{2 x}{x + 6}$
201775	Write in Exponential Form	fourth root of x- fourth root of x^3	$\sqrt[4]{x} - \sqrt[4]{x^{3}}$
201776	Simplify	(4x^-3y^4)/(8x^2(y^-3)^2)	$\frac{4 x^{- 3} y^{4}}{8 x^{2} {(y^{- 3})}^{2}}$
201777	Simplify	(1/3-i/6)/(2/3-i/3)	$\frac{(\frac{1}{3} - \frac{i}{6})}{(\frac{2}{3} - \frac{i}{3})}$
201778	Simplify	4-5/(4m+8)	$4 - \frac{5}{4 m + 8}$
201779	Simplify	(36x^-4y^8)/(12y^7)	$\frac{36 x^{- 4} y^{8}}{12 y^{7}}$
201780	Simplify	(8x+12)+(-4)(2x+3)	$(8 x + 12) + (- 4) (2 x + 3)$
201781	Graph	f(x)=-1/3*6^x+5	$f (x) = - \frac{1}{3} \cdot 6^{x} + 5$
201782	Solve for y	square root of y^4+2y^2+1=y^2+1	$\sqrt{y^{4} + 2 y^{2} + 1} = y^{2} + 1$
201783	Solve for w	( fourth root of 7w-5)/2 = fourth root of w-2	$\frac{\sqrt[4]{7 w - 5}}{2} = \sqrt[4]{w - 2}$
201784	Simplify	3 square root of -12*2 square root of -2	$3 \sqrt{- 12} \cdot 2 \sqrt{- 2}$
201785	Solve the Inequality for a	8a+2(1-5a)<=20	$8 a + 2 (1 - 5 a) \leq 20$
201786	Solve for x	log base 4 of x^2-x=1+ log base 4 of 5	$\log_{4} (x^{2} - x) = 1 + \log_{4} (5)$
201787	Evaluate	9x-7i>9x-21u	$9 x - 7 i > 9 x - 21 u$
201788	Simplify	square root of 3(2- square root of 24)	$\sqrt{3} (2 - \sqrt{24})$
201789	Combine Like Terms	1/5pq-3/10pq^3-3/5pq^3-7/10pq+3pq	$\frac{1}{5} p q - \frac{3}{10} p q^{3} - \frac{3}{5} p q^{3} - \frac{7}{10} p q + 3 p q$
201790	Rationalize the Denominator	cube root of 5/(3x)	$\sqrt[3]{\frac{5}{3 x}}$
201791	Simplify	a^2b^3(a^3+a^2b+b^2)	$a^{2} b^{3} (a^{3} + a^{2} b + b^{2})$
201792	Simplify	((2cd^4)^4)/((2c^2d^3)^2)	$\frac{{(2 c d^{4})}^{4}}{{(2 c^{2} d^{3})}^{2}}$
201793	Solve for x	square root of 3x = square root of 4x-1	$\sqrt{3 x} = \sqrt{4 x - 1}$
201794	Simplify	(-21x)/(-7+(-28x))	$\frac{- 21 x}{- 7 + (- 28 x)}$
201795	Simplify	(5v^4)^22v^3v	${(5 v^{4})}^{2} \cdot 2 v^{3} \cdot v$
201796	Solve for u	0.2u=-0.5+3(0.8u+0.9)	$0.2 u = - 0.5 + 3 (0.8 u + 0.9)$
201797	Simplify	(8n^4-2n+6n^3)-(8n^3+2n+7n^2)	$(8 n^{4} - 2 n + 6 n^{3}) - (8 n^{3} + 2 n + 7 n^{2})$
201798	Multiply	(4x^5+x^3-7x^2+2)(3x-1)	$(4 x^{5} + x^{3} - 7 x^{2} + 2) (3 x - 1)$
201799	Simplify the Radical Expression	cube root of a/(b^2)	$\sqrt[3]{\frac{a}{b^{2}}}$
201800	Simplify	-1/2(32x-40)+(20x-4)	$- \frac{1}{2} (32 x - 40) + (20 x - 4)$