Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
179201	Convert to a Decimal	-3 13/16	$- 3 \frac{13}{16}$
179202	Simplify the Radical Expression	sixth root of x^2	$\sqrt[6]{x^{2}}$
179203	Simplify	(-1+i)/(-6i)	$\frac{- 1 + i}{- 6 i}$
179204	Simplify	(x^2-1)/(x^2+x)	$\frac{x^{2} - 1}{x^{2} + x}$
179205	Simplify	(4a)/5(10a-25b)	$\frac{4 a}{5} (10 a - 25 b)$
179206	Solve for w	17-3(w+5)=6(w+5)-2w	$17 - 3 (w + 5) = 6 (w + 5) - 2 w$
179207	Write in Standard Form	-13-5x=-5x^2	$- 13 - 5 x = - 5 x^{2}$
179208	Solve for k	-5/2(4-6k)=-1/3(12k+3+3k)	$- \frac{5}{2} (4 - 6 k) = - \frac{1}{3} (12 k + 3 + 3 k)$
179209	Solve for x	(x+1)/6+(x-3)/3=5/6	$\frac{x + 1}{6} + \frac{x - 3}{3} = \frac{5}{6}$
179210	Evaluate	\|x\|=6	$\| x \| = 6$
179211	Multiply	4/523/512/50	$\frac{4}{52} \cdot \frac{3}{51} \cdot \frac{2}{50}$
179212	Find the Holes in the Graph	f(x)=(x^2-4)/(x^3-x^2-2x)	$f (x) = \frac{x^{2} - 4}{x^{3} - x^{2} - 2 x}$
179213	Find the Holes in the Graph	f(x)=(x^2-64)/(x-6)	$f (x) = \frac{x^{2} - 64}{x - 6}$
179214	Write in Standard Form	x^2-2x(x-2)+5=0	$x^{2} - 2 x (x - 2) + 5 = 0$
179215	Divide	(2x-5)/(4x^2)	$\frac{2 x - 5}{4 x^{2}}$
179216	Solve Using the Quadratic Formula	4/3=-6e-5/3	$\frac{4}{3} = - 6 e - \frac{5}{3}$
179217	Simplify	cube root of x^5y	$\sqrt[3]{x^{5} y}$ ?
179218	Graph Using a Table of Values	f(x)=1/(x+1)	$f (x) = \frac{1}{x + 1}$
179219	Simplify the Radical Expression	square root of 136x	$\sqrt{136 x}$
179220	Solve for r	9(-2/3r+1/3)-8(3/4-1/2r)=6r	$9 (- \frac{2}{3} r + \frac{1}{3}) - 8 (\frac{3}{4} - \frac{1}{2} r) = 6 r$
179221	Solve the Inequality for x	(x-5)/(x+6)>=0	$\frac{x - 5}{x + 6} \geq 0$
179222	Solve the Inequality for x	3x^2-13x>-10	$3 x^{2} - 13 x > - 10$
179223	Evaluate	(-1/2)	$(- \frac{1}{2})$
179224	Graph	f(x)=-1/8(x+2)(x-2)^2(x-4)	$f (x) = - \frac{1}{8} (x + 2) {(x - 2)}^{2} (x - 4)$
179225	Factor	p(x)=x^3+x^2-x-1	$p (x) = x^{3} + x^{2} - x - 1$
179226	Solve the System of Inequalities	-33<5x-8 or 52<=5x-8	$- 33 < 5 x - 8$ or $52 \leq 5 x - 8$
179227	Simplify	(3x^5+8x^3)-(7x^2-6x^3)	$(3 x^{5} + 8 x^{3}) - (7 x^{2} - 6 x^{3})$
179228	Simplify the Radical Expression	2 square root of 32	$2 \sqrt{32}$
179229	Solve for x	x-8=- square root of x^2-8	$x - 8 = - \sqrt{x^{2} - 8}$
179230	Write in Slope-Intercept Form	(6,-1) , (3,-7)	$(6, - 1)$ , $(3, - 7)$
179231	Simplify	((x-4)/(2x^2))÷((2x+3)/(x+4))	$\frac{x - 4}{2 x^{2}} \div \frac{2 x + 3}{x + 4}$
179232	Solve for x	6/x=(2x)/3	$\frac{6}{x} = \frac{2 x}{3}$
179233	Divide	(8/10)÷(1/5)	$\frac{8}{10} \div \frac{1}{5}$
179234	Solve the Inequality for x	4x^2<=1	$4 x^{2} \leq 1$
179235	Solve for a	(x^(5/3))^(2/3)=x^a	${(x^{\frac{5}{3}})}^{\frac{2}{3}} = x^{a}$
179236	Simplify	((3x^5y^0z^8)/(x^7z^-2))^4	${(\frac{3 x^{5} y^{0} z^{8}}{x^{7} z^{- 2}})}^{4}$
179237	Solve the System of Inequalities	-9>=-2x-3 or -2x-3<=-13	$- 9 \geq - 2 x - 3$ or $- 2 x - 3 \leq - 13$
179238	Evaluate	\|v+8\|-5=2	$\| v + 8 \| - 5 = 2$
179239	Solve for c	2/3(cx+1/2)-1/4=5/2	$\frac{2}{3} (c x + \frac{1}{2}) - \frac{1}{4} = \frac{5}{2}$
179240	Solve for x	18x+6>=12x+18	$18 x + 6 \geq 12 x + 18$
179241	Factor by Grouping	8x^3-27y^3	$8 x^{3} - 27 y^{3}$
179242	Find All Complex Solutions	2sin(x)-sin(2x)=0	$2 \sin (x) - \sin (2 x) = 0$
179243	Solve the Inequality for x	x^3-2x^2<5x-6	$x^{3} - 2 x^{2} < 5 x - 6$
179244	Graph	y>=\|2x+1\|-3	$y \geq \| 2 x + 1 \| - 3$
179245	Solve by Substitution	-7x+y=-30 2x-5=y	$- 7 x + y = - 30$ $2 x - 5 = y$
179246	Simplify	(x-7)/(-5x+40)*(x^2-64)/(-4x+28)	$\frac{x - 7}{- 5 x + 40} \cdot \frac{x^{2} - 64}{- 4 x + 28}$
179247	Solve the Inequality for x	x^2-x<0	$x^{2} - x < 0$
179248	Evaluate	1/(3(1)^(2/3))	$\frac{1}{3 {(1)}^{\frac{2}{3}}}$
179249	Solve for x	-2x-6=2-4x-(x-1)	$- 2 x - 6 = 2 - 4 x - (x - 1)$
179250	Find the Holes in the Graph	f(x)=(x-8)/(3x-6)	$f (x) = \frac{x - 8}{3 x - 6}$
179251	Solve for r	x=4/3pir^3 for r	$x = \frac{4}{3} π r^{3}$ for $r$
179252	Solve for b	a^2=b^2+c^2	$a^{2} = b^{2} + c^{2}$
179253	Simplify the Radical Expression	( square root of 5+ square root of 3)/( square root of 3- square root of 5)	$\frac{\sqrt{5} + \sqrt{3}}{\sqrt{3} - \sqrt{5}}$
179254	Solve for y	5/4y-1/3=1/2(3y-1)	$\frac{5}{4} y - \frac{1}{3} = \frac{1}{2} (3 y - 1)$
179255	Solve for x	3-1/4x=3/2	$3 - \frac{1}{4} x = \frac{3}{2}$
179256	Find the Excluded Values	(y^2)/(y-3)*(y^2-y-6)/(y^2+1y)	$\frac{y^{2}}{y - 3} \cdot \frac{y^{2} - y - 6}{y^{2} + 1 y}$
179257	Simplify	(x)(2x)^2	$(x) {(2 x)}^{2}$
179258	Solve the Inequality for x	14-2(x+1)<=-4	$14 - 2 (x + 1) \leq - 4$
179259	Evaluate	(-1)^2+(-1)	${(- 1)}^{2} + (- 1)$
179260	Evaluate	10^2+(3+5)^2-5	$10^{2} + {(3 + 5)}^{2} - 5$
179261	Solve for x	(2x-1)/3-(x+13)/24=3x+(5(x+1))/8	$\frac{2 x - 1}{3} - \frac{x + 13}{24} = 3 x + \frac{5 (x + 1)}{8}$
179262	Solve the Inequality for x	9-x^2>=0	$9 - x^{2} \geq 0$
179263	Write in Standard Form	4y+5y^2-6-5y+27-y^2	$4 y + 5 y^{2} - 6 - 5 y + 27 - y^{2}$
179264	Find f(g(x))	f(x)=6x+1 , g(x) = square root of x	$f (x) = 6 x + 1$ , $g (x) = \sqrt{x}$
179265	Write in Standard Form	7x+4x^2+4=2	$7 x + 4 x^{2} + 4 = 2$
179266	Subtract	6/(x^2+4x-32)-(x-5)/(x-4)	$\frac{6}{x^{2} + 4 x - 32} - \frac{x - 5}{x - 4}$
179267	Graph	y=1-1/2e^(-x)	$y = 1 - \frac{1}{2} e^{- x}$
179268	Solve for x	x^4-4x^2=0	$x^{4} - 4 x^{2} = 0$
179269	Evaluate	(3y)^3	${(3 y)}^{3}$
179270	Find the x and y Intercepts	f(x)=(x^3-9x)/(3x^2-6x-9)	$f (x) = \frac{x^{3} - 9 x}{3 x^{2} - 6 x - 9}$
179271	Solve for n	4(n+2)-2n=0	$4 (n + 2) - 2 n = 0$
179272	Solve for x	2/7x+11/7x=3/5	$\frac{2}{7} x + \frac{11}{7} x = \frac{3}{5}$
179273	Find the Holes in the Graph	y=(3x^2-12)/(8x^2-18x+4)	$y = \frac{3 x^{2} - 12}{8 x^{2} - 18 x + 4}$
179274	Solve for x	9+7x-12=3x+5-4(2-x)	$9 + 7 x - 12 = 3 x + 5 - 4 (2 - x)$
179275	Solve the System of Equations	3x+3y=9 and 5x-3y=7	$3 x + 3 y = 9$ and $5 x - 3 y = 7$
179276	Simplify	(1+2/x)/(5/x-15/(x^2))	$\frac{1 + \frac{2}{x}}{\frac{5}{x} - \frac{15}{x^{2}}}$
179277	Solve for x	3x^2=6x-3	$3 x^{2} = 6 x - 3$
179278	Write in Slope-Intercept Form	y-2=0	$y - 2 = 0$
179279	Solve the Absolute Value Inequality for x	\|3x\|=18	$\| 3 x \| = 18$
179280	Find the Inverse	f(x)=5(x^(1/3)-8)	$f (x) = 5 (x^{\frac{1}{3}} - 8)$
179281	Solve for y	y=(1/3)^1	$y = {(\frac{1}{3})}^{1}$
179282	Simplify	(25^5)^4	${(25^{5})}^{4}$
179283	Solve the System of Inequalities	5x+2>52 or 5x+2>=62	$5 x + 2 > 52$ or $5 x + 2 \geq 62$
179284	Evaluate	log base 1/2 of 1/16	$\log_{\frac{1}{2}} (\frac{1}{16})$
179285	Simplify	((12x^5yz^-2)/(4x^3y^5z^6))^-2	${(\frac{12 x^{5} y z^{- 2}}{4 x^{3} y^{5} z^{6}})}^{- 2}$
179286	Find All Complex Solutions	\|2x-3\|=9	$\| 2 x - 3 \| = 9$
179287	Solve the Inequality for x	3(x+1)<9	$3 (x + 1) < 9$
179288	Solve for x	x^2+a^2=(a+x)^2-a(a-1)	$x^{2} + a^{2} = {(a + x)}^{2} - a (a - 1)$
179289	Solve for x	2^2(5^(x+1))=500	$2^{2} (5^{x + 1}) = 500$
179290	Evaluate	82+35-10+4^2	$8 \cdot 2 + 3 \cdot 5 - 10 + 4^{2}$
179291	Graph	y>=x+8 y>-3x-4	$y \geq x + 8$ $y > - 3 x - 4$
179292	Solve for v	v-5=1/2(v+10)	$v - 5 = \frac{1}{2} (v + 10)$
179293	Simplify	2i^2 square root of -75	$2 i^{2} \sqrt{- 75}$
179294	Solve for x	log of x^2+x+14=3x-5	$\log (x^{2} + x + 14) = 3 x - 5$
179295	Simplify	1/6(18x-24)	$\frac{1}{6} (18 x - 24)$
179296	Solve for r	r=4(1/5r+2)	$r = 4 (\frac{1}{5} r + 2)$
179297	Solve for x	square root of 2x-4 = square root of x	$\sqrt{2 x - 4} = \sqrt{x}$
179298	Graph	y<\|x-3\|	$y < \| x - 3 \|$
179299	Find the Area of the Triangle	(-3,4) , (4,4) , (3,-3)	$(- 3, 4)$ , $(4, 4)$ , $(3, - 3)$
179300	Find the Exact Value	2sin(105 degrees )cos(105 degrees )	$2 \sin (105 °) \cos (105 °)$