Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
190201	Simplify	((3x^-2y^3)(5xy^-8))/((x^-3)^4y^-2)	$\frac{(3 x^{- 2} y^{3}) (5 x y^{- 8})}{{(x^{- 3})}^{4} y^{- 2}}$
190202	Simplify	(2+ square root of 8)/( square root of 6)	$\frac{2 + \sqrt{8}}{\sqrt{6}}$
190203	Solve for x	rx+qx-d=gc	$r x + q x - d = g c$
190204	Find the Distance Between Two Points	(-9,4) and (-5,-6)	$(- 9, 4)$ and $(- 5, - 6)$
190205	Divide	((14x^2+x-3)/(4x-8))÷((49x^2-9)/(x-2))	$\frac{14 x^{2} + x - 3}{4 x - 8} \div \frac{49 x^{2} - 9}{x - 2}$
190206	Solve the Inequality for x	25^(x+1)<=125^x	$25^{x + 1} \leq 125^{x}$
190207	Simplify	(y+y^2)/(y^(-2/3))	$\frac{y + y^{2}}{y^{- \frac{2}{3}}}$
190208	Solve for F	F(c)=9/5C+32	$F (c) = \frac{9}{5} C + 32$
190209	Simplify	(r^6n^-7)/(r^4n^2)	$\frac{r^{6} n^{- 7}}{r^{4} n^{2}}$
190210	Factor	ax+bx-cx	$a x + b x - c x$
190211	Multiply	222222222	$2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2$
190212	Solve the Absolute Value Inequality for c	\|c-10\|=3	$\| c - 10 \| = 3$
190213	Simplify	(-7+8i)-(-5i+4i^2)	$(- 7 + 8 i) - (- 5 i + 4 i^{2})$
190214	Multiply	1/2*1/2	$\frac{1}{2} \cdot \frac{1}{2}$
190215	Solve for x	sec(x)sin(x)-2sin(x)=0	$\sec (x) \sin (x) - 2 \sin (x) = 0$
190216	Solve for v	9v^2=-30v-25	$9 v^{2} = - 30 v - 25$
190217	Divide	((x^2+6x+9)/(x^2+3x+2))÷((x+3)/(x-1))	$\frac{x^{2} + 6 x + 9}{x^{2} + 3 x + 2} \div \frac{x + 3}{x - 1}$
190218	Solve for x	-10(x-1)=10-10x	$- 10 (x - 1) = 10 - 10 x$
190219	Simplify	(1-y/x)/(1/y+1/x)	$\frac{1 - \frac{y}{x}}{\frac{1}{y} + \frac{1}{x}}$
190220	Divide	((36y)/(y^2-2y+1))÷((12y^2)/(y^2-1))	$\frac{36 y}{y^{2} - 2 y + 1} \div \frac{12 y^{2}}{y^{2} - 1}$
190221	Evaluate	-1/4(-4)^2+4	$- \frac{1}{4} {(- 4)}^{2} + 4$
190222	Multiply	3/87/92	$\frac{3}{8} \cdot \frac{7}{9} \cdot 2$
190223	Solve for x	2x-5=-3x^2	$2 x - 5 = - 3 x^{2}$
190224	Find the Distance Between Two Points	(0,-2) and (4,2)	$(0, - 2)$ and $(4, 2)$
190225	Convert to a Simplified Fraction	0.333...	$0.333 \dots$
190226	Solve for m	x^2+7x+m=31+m	$x^{2} + 7 x + m = 31 + m$
190227	Solve for y	x = square root of (y+1)/(y-2)	$x = \sqrt{\frac{y + 1}{y - 2}}$
190228	Convert to Interval Notation	x<=3 or x>7	$x \leq 3$ or $x > 7$
190229	Solve for x	\|3x-6\|>\|2x+1\|	$\| 3 x - 6 \| > \| 2 x + 1 \|$
190230	Simplify	((4x^2-23x-6)/(3x^2-14x+8))÷((4x^2+25x+6)/(x^2+x-30))	$\frac{4 x^{2} - 23 x - 6}{3 x^{2} - 14 x + 8} \div \frac{4 x^{2} + 25 x + 6}{x^{2} + x - 30}$
190231	Solve by Factoring	2x=3-x^2	$2 x = 3 - x^{2}$
190232	Solve for x	(2x)/(x+1)>=1	$\frac{2 x}{x + 1} \geq 1$
190233	Write as a Single Logarithm	2 log base 4 of 3+ log base 4 of 2	$2 \log_{4} (3) + \log_{4} (2)$
190234	Find the x and y Intercepts	f(x)=1/2x^2-4	$f (x) = \frac{1}{2} x^{2} - 4$
190235	Solve for j	35=j/5	$35 = \frac{j}{5}$
190236	Convert to a Decimal	405deg	$405$ degrees
190237	Simplify	(- square root of -1)	$(- \sqrt{- 1})$
190238	Find the Roots (Zeros)	f(x)=-(x+2)(x+1)^2(x-1)	$f (x) = - (x + 2) {(x + 1)}^{2} (x - 1)$
190239	Solve the Absolute Value Inequality for x	\|x\|+7>16	$\| x \| + 7 > 16$
190240	Find the Distance Between Two Points	(0,-5) and (6,1)	$(0, - 5)$ and $(6, 1)$
190241	Simplify	1/4(-4^3+10^2)	$\frac{1}{4} (- 4^{3} + 10^{2})$
190242	Solve the Absolute Value Inequality for r	9\|r-2\|-10<-73	$9 \| r - 2 \| - 10 < - 73$
190243	Solve for x	4.2(15+5x)=-20x-21-x	$4.2 (15 + 5 x) = - 20 x - 21 - x$
190244	Graph	\|x+3\|-2<=0	$\| x + 3 \| - 2 \leq 0$
190245	Simplify	(3p-5q-6r)+(2p+3q-2r)+(-12p+4q+r)	$(3 p - 5 q - 6 r) + (2 p + 3 q - 2 r) + (- 12 p + 4 q + r)$
190246	Simplify	5/8-(-7/2)	$\frac{5}{8} - (- \frac{7}{2})$
190247	Solve the System of Equations	y=x^2+2 y=4x-1	$y = x^{2} + 2$ $y = 4 x - 1$
190248	Simplify	(n/12-2/9)/(n/6)	$\frac{\frac{n}{12} - \frac{2}{9}}{\frac{n}{6}}$
190249	Write in Slope-Intercept Form	x+y>2	$x + y > 2$
190250	Solve for x	\|x/3+2/5\|=2	$\| \frac{x}{3} + \frac{2}{5} \| = 2$
190251	Find the Holes in the Graph	f(x)=(x+1)/(x^2-1)	$f (x) = \frac{x + 1}{x^{2} - 1}$
190252	Simplify	17-(5*4)÷2	$17 - 5 \cdot 4 \div 2$
190253	Solve the Inequality for x	(x-2)/(x^2-9)<0	$\frac{x - 2}{x^{2} - 9} < 0$
190254	Simplify	(a+2b)(a^2-2ab-4b^2)	$(a + 2 b) (a^{2} - 2 a b - 4 b^{2})$
190255	Simplify	3ab-9ab+7ab	$3 a b - 9 a b + 7 a b$
190256	Evaluate	2-(4-3-2÷2)	$2 - (4 - 3 - 2 \div 2)$
190257	Find the x and y Intercepts	f(x)=-4*(0.3)^x+1	$f (x) = - 4 \cdot {(0.3)}^{x} + 1$
190258	Solve the Inequality for x	4x^2<9	$4 x^{2} < 9$
190259	Solve for y	9y^2+25=-30y	$9 y^{2} + 25 = - 30 y$
190260	Find the Domain of the Composition f(g(x))	f(x)=x+2 , g(x)=2x^2-3x-2	$f (x) = x + 2$ , $g (x) = 2 x^{2} - 3 x - 2$
190261	Simplify	7a-(4a-8a+3)+2a	$7 a - (4 a - 8 a + 3) + 2 a$
190262	Simplify	3^(-2/3)	$3^{- \frac{2}{3}}$
190263	Solve for a	21=-5/6a+1	$21 = - \frac{5}{6} a + 1$
190264	Solve the Inequality for x	5^x=25^(x-2)	$5^{x} = 25^{x - 2}$
190265	Solve the Absolute Value Inequality for a	-5\|6a+21\|=-15	$- 5 \| 6 a + 21 \| = - 15$
190266	Solve for x	5-2(3x^2-2x)=x^2+7-2x^2	$5 - 2 (3 x^{2} - 2 x) = x^{2} + 7 - 2 x^{2}$
190267	Factor by Grouping	a^6-b^6	$a^{6} - b^{6}$
190268	Find the Roots (Zeros)	f(x)=x^2(x-3)	$f (x) = x^{2} (x - 3)$
190269	Simplify	((b^-2)/(a^-2))(b/a)^2	$(\frac{b^{- 2}}{a^{- 2}}) {(\frac{b}{a})}^{2}$
190270	Solve for x	x^3-4x^2+8=0	$x^{3} - 4 x^{2} + 8 = 0$
190271	Graph Using a Table of Values	y=(3/2)^x	$y = {(\frac{3}{2})}^{x}$
190272	Find All Complex Solutions	sec(x)-2=0	$\sec (x) - 2 = 0$
190273	Solve for x	5-8x=3x^2-12x+3	$5 - 8 x = 3 x^{2} - 12 x + 3$
190274	Evaluate	(sin(theta)+cos(theta))^2	${(\sin (θ) + \cos (θ))}^{2}$
190275	Simplify	(d^2y)/(dx^2)	$\frac{d^{2} y}{d x^{2}}$
190276	Find the x and y Intercepts	3x+y	$3 x + y$
190277	Simplify	fourth root of 16w^10+2w fourth root of w^6	$\sqrt[4]{16 w^{10}} + 2 w \sqrt[4]{w^{6}}$
190278	Solve for k	(k+4)/2=(k+9)/3	$\frac{k + 4}{2} = \frac{k + 9}{3}$
190279	Solve for a	(x^3)^(1/5) square root of x=x^a	${(x^{3})}^{\frac{1}{5}} \sqrt{x} = x^{a}$
190280	Simplify	(12^2)^(1/4)	${(12^{2})}^{\frac{1}{4}}$
190281	Simplify	\|-3*2\|	$\| - 3 \cdot 2 \|$
190282	Evaluate	csc(pi/4)^2	$\csc^{2} (\frac{π}{4})$
190283	Solve for h	x=(r-h)/y	$x = \frac{r - h}{y}$
190284	Find the Roots (Zeros)	(2x)/(x+4)=3/(x-1)	$\frac{2 x}{x + 4} = \frac{3}{x - 1}$
190285	Simplify	a/b+a/b	$\frac{a}{b} + \frac{a}{b}$
190286	Factor	16-(2a+b)^2	$16 - {(2 a + b)}^{2}$
190287	Graph	x+y>=0 x-y>=4	$x + y \geq 0$ $x - y \geq 4$
190288	Divide	(-30x^2y^2-45x^2y^3z)÷(-15x^2y^3)	$(- 30 x^{2} y^{2} - 45 x^{2} y^{3} z) \div (- 15 x^{2} y^{3})$
190289	Evaluate	3x-8=5x+4	$3 x - 8 = 5 x + 4$
190290	Solve for a	(a+5)/b=(a-5)/b+(b+5)/a	$\frac{a + 5}{b} = \frac{a - 5}{b} + \frac{b + 5}{a}$
190291	Solve the System of Inequalities	5<k-2<11	$5 < k - 2 < 11$
190292	Solve by Factoring	x^2-x-6=-6-7x	$x^{2} - x - 6 = - 6 - 7 x$
190293	Graph	y=3x^2-x^3	$y = 3 x^{2} - x^{3}$
190294	Find the Product	(7a^2b^3+5x^4)^2	${(7 a^{2} b^{3} + 5 x^{4})}^{2}$
190295	Solve the Inequality for x	-1<=2x+5<=4	$- 1 \leq 2 x + 5 \leq 4$
190296	Simplify	((a+b)/4)/((a^2+b^2)/4)	$\frac{\frac{a + b}{4}}{\frac{a^{2} + b^{2}}{4}}$
190297	Divide	((x+8)/18)÷((2x^2+16x)/(16x))	$\frac{x + 8}{18} \div \frac{2 x^{2} + 16 x}{16 x}$
190298	Graph	24<3x	$24 < 3 x$
190299	Solve for x	2\|x+1\|-x=3x-4	$2 \| x + 1 \| - x = 3 x - 4$
190300	Solve the System of Equations	y=2x x+y=9	$y = 2 x$ $x + y = 9$