Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
198801	Factor	2x^4+7x^3-4x^2-27x-18	$2 x^{4} + 7 x^{3} - 4 x^{2} - 27 x - 18$
198802	Simplify	-c(c^4)^2	$- c {(c^{4})}^{2}$
198803	Graph	x^2-3x-18<=0	$x^{2} - 3 x - 18 \leq 0$
198804	Graph Using a Table of Values	f(x)=4-x^2	$f (x) = 4 - x^{2}$
198805	Factor	3x^2(x-2y)^2+9xy^2(2y-x)	$3 x^{2} {(x - 2 y)}^{2} + 9 x y^{2} (2 y - x)$
198806	Solve for b	r=(8+b)m	$r = (8 + b) m$
198807	Solve the Absolute Value Inequality for x	\|(2x)/39-1\|<=5	$\| \frac{2 x}{39} - 1 \| \leq 5$
198808	Solve the Inequality for x	\|5-2x\|>9	$\| 5 - 2 x \| > 9$
198809	Find the Directrix	y-3=(2-x)^2	$y - 3 = {(2 - x)}^{2}$
198810	Solve for x	log base a of a^8=x	$\log_{a} (a^{8}) = x$
198811	Solve for q	1 = fourth root of 4q+11	$1 = \sqrt[4]{4 q + 11}$
198812	Evaluate Using the Given Value	8r-rs when r=6 and s=5	$8 r - r s$ when $r = 6$ and $s = 5$
198813	Write in Standard Form	y=-2/3(x-9)^2-2	$y = - \frac{2}{3} {(x - 9)}^{2} - 2$
198814	Solve for d	-16+d=30	$- 16 + d = 30$
198815	Subtract	7/3-2/3	$\frac{7}{3} - \frac{2}{3}$
198816	Simplify	cube root of 10w^5* cube root of 4w^4	$\sqrt[3]{10 w^{5}} \times \sqrt[3]{4 w^{4}}$
198817	Solve for x	log base 2 of 4x-5+ log base 2 of 3x-1=0	$\log_{2} (4 x - 5) + \log_{2} (3 x - 1) = 0$
198818	Solve for x	12^6=12^(x-4)	$12^{6} = 12^{x - 4}$
198819	Simplify	(sin(x)^2)/(cos(x)^2)+cos(x)sec(x)	$\frac{\sin^{2} (x)}{\cos^{2} (x)} + \cos (x) \sec (x)$
198820	Solve for y	c=(5+y)h	$c = (5 + y) h$
198821	Solve the Inequality for x	(2x+6)/(x-2)<0	$\frac{2 x + 6}{x - 2} < 0$
198822	Evaluate	f(-2)=(1/2)^-2	$f (- 2) = {(\frac{1}{2})}^{- 2}$
198823	Evaluate	log of x+ log of x-48=2	$\log (x) + \log (x - 48) = 2$
198824	Find the x and y Intercepts	f(x)=(x^2+5x-6)/(25x^2-16)	$f (x) = \frac{x^{2} + 5 x - 6}{25 x^{2} - 16}$
198825	Solve the System of Equations	y=x^2+3x+1 y=2x+1	$y = x^{2} + 3 x + 1$ $y = 2 x + 1$
198826	Solve for x	1+2/(x-2)=(3x+2)/(x^2-4)	$1 + \frac{2}{x - 2} = \frac{3 x + 2}{x^{2} - 4}$
198827	Simplify	x-5*7/(x^3-5x^2)	$x - 5 \cdot \frac{7}{x^{3} - 5 x^{2}}$
198828	Find All Complex Solutions	log base 2 of x+6+ log base 2 of x+5=1	$\log_{2} (x + 6) + \log_{2} (x + 5) = 1$
198829	Simplify	2/3(-9m+12)	$\frac{2}{3} (- 9 m + 12)$
198830	Find the Function	f(x)=x^3+3	$f (x) = x^{3} + 3$
198831	Evaluate	10% of 20	$10 %$ of $20$
198832	Find the LCD	(10x)/(x-2) and (3x)/(x-7)	$\frac{10 x}{x - 2}$ and $\frac{3 x}{x - 7}$
198833	Solve for u	6(u+3)=72	$6 (u + 3) = 72$
198834	Evaluate	(-( square root of 2)/2)÷(-( square root of 2)/2)	$- \frac{\sqrt{2}}{2} \div (- \frac{\sqrt{2}}{2})$
198835	Find the Domain and Range	f(x)=-2/(1-x)	$f (x) = - \frac{2}{1 - x}$
198836	Solve the System of Equations	6x+3y=9 2x+3y=1	$6 x + 3 y = 9$ $2 x + 3 y = 1$
198837	Subtract	3/5-2	$\frac{3}{5} - 2$
198838	Convert to a Decimal	9rad	$9$ radians
198839	Find the x and y Intercepts	f(x)=4x+2x+2	$f (x) = 4 x + 2 x + 2$
198840	Evaluate	98/360(2pi*4)	$\frac{98}{360} (2 π \cdot 4)$
198841	Write in Standard Form	y=(x-3)(x+5)	$y = (x - 3) (x + 5)$
198842	Solve for x	\|x-6\|+7>=-1	$\| x - 6 \| + 7 \geq - 1$
198843	Divide Using Synthetic Division	(3x^3-16x^2-72)÷(x-6)	$(3 x^{3} - 16 x^{2} - 72) \div (x - 6)$
198844	Simplify	3/( square root of 8+ square root of 5)	$\frac{3}{\sqrt{8} + \sqrt{5}}$
198845	Subtract	(3x^2+8x)-(-9x^2+3x-8)	$(3 x^{2} + 8 x) - (- 9 x^{2} + 3 x - 8)$
198846	Solve the Inequality for x	(5x)+(-6x+7)<(5x)+(-3)	$(5 x) + (- 6 x + 7) < (5 x) + (- 3)$
198847	Solve for x	-27x-29x-4x+45x-29=-44	$- 27 x - 29 x - 4 x + 45 x - 29 = - 44$
198848	Graph	9=\|y\|+x^2	$9 = \| y \| + x^{2}$
198849	Solve for x	-3+(2x+9)/x=(x-3)/(5x)	$- 3 + \frac{2 x + 9}{x} = \frac{x - 3}{5 x}$
198850	Solve for x	log base x of 6x-8=2	$\log_{x} (6 x - 8) = 2$
198851	Convert to Interval Notation	8/(6-x)>=x	$\frac{8}{6 - x} \geq x$
198852	Graph	16=\|y\|+x^2	$16 = \| y \| + x^{2}$
198853	Evaluate	(7^2)/(3^2-2)	$\frac{7^{2}}{3^{2} - 2}$
198854	Solve for k	2.5k+1.5k-2=10	$2.5 k + 1.5 k - 2 = 10$
198855	Simplify	cube root of 2( cube root of 135-4 cube root of 5)	$\sqrt[3]{2} (\sqrt[3]{135} - 4 \sqrt[3]{5})$
198856	Find the Exact Value	-\|-9\|	$- \| - 9 \|$
198857	Graph	g(x)=1/2f(x-2)	$g (x) = \frac{1}{2} f (x - 2)$
198858	Find the Quotient	(x^2+8x+18)/(x+3)	$\frac{x^{2} + 8 x + 18}{x + 3}$
198859	Find the Domain and Range	f(x)=(2x+2)/(x^3+x^2)	$f (x) = \frac{2 x + 2}{x^{3} + x^{2}}$
198860	Simplify	(3x^2)/(5x^2+2x)	$\frac{3 x^{2}}{5 x^{2} + 2 x}$
198861	Solve for x	(1/4)^((2-x)/x)>64^2	${(\frac{1}{4})}^{\frac{2 - x}{x}} > 64^{2}$
198862	Solve for a	P=a-b-7	$P = a - b - 7$
198863	Graph	y^2=-9/8x	$y^{2} = - \frac{9}{8} x$
198864	Find the Perfect Square Trinomial	9x^2-24x+16	$9 x^{2} - 24 x + 16$
198865	Find the Holes in the Graph	(3x-12)/(x^2-16)	$\frac{3 x - 12}{x^{2} - 16}$
198866	Evaluate	1/2+(-1/2)	$\frac{1}{2} + (- \frac{1}{2})$
198867	Solve the Inequality for x	5/(x-2)>=3/(x-2)	$\frac{5}{x - 2} \geq \frac{3}{x - 2}$
198868	Find the Exact Value	cot(585 degrees )	$\cot (585 °)$
198869	Solve for x	7/(x-9)+(3x)/(x+5)=(2x+1)/(x-9)	$\frac{7}{x - 9} + \frac{3 x}{x + 5} = \frac{2 x + 1}{x - 9}$
198870	Simplify	6x^2y^4(5x^2-3x^2y^2+4y^2)	$6 x^{2} y^{4} (5 x^{2} - 3 x^{2} y^{2} + 4 y^{2})$
198871	Graph	(y-2)^2=1/4(x-3)	${(y - 2)}^{2} = \frac{1}{4} (x - 3)$
198872	Solve the System of Equations	x+y=3 y=8	$x + y = 3$ $y = 8$
198873	Solve the Absolute Value Inequality for x	3\|x+2\|+2>=23	$3 \| x + 2 \| + 2 \geq 23$
198874	Graph	y^2-x^2<=1 y>x^2-4x+4	$y^{2} - x^{2} \leq 1$ $y > x^{2} - 4 x + 4$
198875	Simplify	(2^35^42^-15^2)/(5^32^-25^32^4)	$\frac{2^{3} \cdot 5^{4} \cdot 2^{- 1} \cdot 5^{2}}{5^{3} \cdot 2^{- 2} \cdot 5^{3} \cdot 2^{4}}$
198876	Find the Exact Value	tan(arccos(w))	$\tan (\arccos (w))$
198877	Combine Like Terms	(6x^2+6x+9)+(x^2+2x)	$(6 x^{2} + 6 x + 9) + (x^{2} + 2 x)$
198878	Solve the Inequality for x	5x-x^2>=0	$5 x - x^{2} \geq 0$
198879	Solve the System of Equations	-7m=2(3n+13) 7n=2(m-5)	$- 7 m = 2 (3 n + 13)$ $7 n = 2 (m - 5)$
198880	Evaluate	(( square root of 2)/2)	$(\frac{\sqrt{2}}{2})$
198881	Find the Exact Value	square root of 9/16	$\sqrt{\frac{9}{16}}$
198882	Solve for v	v = square root of -18+9v	$v = \sqrt{- 18 + 9 v}$
198883	Divide	((a^2-6a+5)/(a^2-15a+56))÷((a^2+2a-35)/(a^2-5a-24))	$\frac{a^{2} - 6 a + 5}{a^{2} - 15 a + 56} \div \frac{a^{2} + 2 a - 35}{a^{2} - 5 a - 24}$
198884	Find the Inverse	x=y^2	$x = y^{2}$
198885	Solve for x	1/(x+1)=1-2/(x+3)	$\frac{1}{x + 1} = 1 - \frac{2}{x + 3}$
198886	Convert to Interval Notation	x<-5 and x<5	$x < - 5$ and $x < 5$
198887	Evaluate	(5+-1)/2	$\frac{5 + - 1}{2}$
198888	Simplify	3x^2y^2-5xy^2-3x^2y^2+2x^2	$3 x^{2} y^{2} - 5 x y^{2} - 3 x^{2} y^{2} + 2 x^{2}$
198889	Solve Using the Quadratic Formula	x+x^2	$x + x^{2}$
198890	Evaluate	((4x^5y)/(16xy^4))^3	${(\frac{4 x^{5} y}{16 x y^{4}})}^{3}$
198891	Simplify	x^2-(-7xy+(-y^2+(-x^2+3xy-2y^2)))	$x^{2} - (- 7 x y + (- y^{2} + (- x^{2} + 3 x y - 2 y^{2})))$
198892	Graph	-2x+3y<9 x^2-y<=10 4x+y>3	$- 2 x + 3 y < 9$ $x^{2} - y \leq 10$ $4 x + y > 3$
198893	Solve the Inequality for x	7(x-3)<2(4x-1)	$7 (x - 3) < 2 (4 x - 1)$
198894	Find All Complex Solutions	3tan(x)=- square root of 3	$3 \tan (x) = - \sqrt{3}$
198895	Simplify	((25c^-1)/5)^2	${(\frac{25 c^{- 1}}{5})}^{2}$
198896	Solve for t	7t=x ; for t	$7 t = x$ ; for $t$
198897	Solve for n	n-3/8=1/8	$n - \frac{3}{8} = \frac{1}{8}$
198898	Solve for T	T=2pi square root of L/980	$T = 2 π \sqrt{\frac{L}{980}}$
198899	Evaluate	tan(arcsin(u))	$\tan (\arcsin (u))$
198900	Solve for x	x^2+(2/3)^2=1	$x^{2} + {(\frac{2}{3})}^{2} = 1$