Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
190101	Solve for x	(x-5)/6+(x+5)/9=5	$\frac{x - 5}{6} + \frac{x + 5}{9} = 5$
190102	Multiply	(2x^2+6x-4)(2x^2-3x)	$(2 x^{2} + 6 x - 4) (2 x^{2} - 3 x)$
190103	Evaluate	1/(2(-2))	$\frac{1}{2 (- 2)}$
190104	Solve for x	4^(3x-2)=1/(2 square root of 2)	$4^{3 x - 2} = \frac{1}{2 \sqrt{2}}$
190105	Solve the Inequality for x	(x+6)/(6-x)<0	$\frac{x + 6}{6 - x} < 0$
190106	Simplify	2r+(t+r) ?	$2 r + (t + r)$ ?
190107	Find the Roots (Zeros)	-3x=-10x^2-4	$- 3 x = - 10 x^{2} - 4$
190108	Solve the Inequality for x	square root of x^2-x-2< square root of x^2+3x+2	$\sqrt{x^{2} - x - 2} < \sqrt{x^{2} + 3 x + 2}$
190109	Solve the System of Equations	-x-4y+2z=0 x+2y-z=0 x+y-z=0	$- x - 4 y + 2 z = 0$ $x + 2 y - z = 0$ $x + y - z = 0$
190110	Solve for s	1 1/2s=16 1/2	$1 \frac{1}{2} s = 16 \frac{1}{2}$
190111	Evaluate	(x+3)(x^2-3x+9)	$(x + 3) (x^{2} - 3 x + 9)$
190112	Find the Midpoint	(7,-2) and (-4,2)	$(7, - 2)$ and $(- 4, 2)$
190113	Multiply	(-x)(-x)	$(- x) (- x)$
190114	Solve the Inequality for x	(2x+5)/(x-2)>=(x-1)/(x-2)	$\frac{2 x + 5}{x - 2} \geq \frac{x - 1}{x - 2}$
190115	Describe the Transformation	h(x) = natural log of -x	$h (x) = \ln (- x)$
190116	Solve for x	2(x+1)^2+3=21	$2 {(x + 1)}^{2} + 3 = 21$
190117	Graph	{x\|x>3}	${x \| x > 3}$
190118	Graph	Graph y=-3/2x-3	Graph $y = - \frac{3}{2} x - 3$
190119	Find the Holes in the Graph	f(x)=(x^3-6x^2+8x)/(x^2-2x-8)	$f (x) = \frac{x^{3} - 6 x^{2} + 8 x}{x^{2} - 2 x - 8}$
190120	Solve for a	-1/5a+21=23	$- \frac{1}{5} a + 21 = 23$
190121	Solve for x	( square root of x+3.5)/2=1.5	$\frac{\sqrt{x + 3.5}}{2} = 1.5$
190122	Graph Using a Table of Values	f(x)=-3x^2+3	$f (x) = - 3 x^{2} + 3$
190123	Find the Product	(2x)^3	${(2 x)}^{3}$
190124	Graph	y=x^2(x-2)(x+3)	$y = x^{2} (x - 2) (x + 3)$
190125	Write Using Negative Exponents	1/(2^3)	$\frac{1}{2^{3}}$
190126	Multiply	x^2(x+1)	$x^{2} (x + 1)$
190127	Solve the System of Inequalities	-3x+5<=2 or 4x-2<-6	$- 3 x + 5 \leq 2$ or $4 x - 2 < - 6$
190128	Evaluate	3h(2)+2k(3)	$3 h (2) + 2 k (3)$
190129	Solve for w	9+w>7	$9 + w > 7$
190130	Solve for y	(2y-3)^(2/3)=(3y)^(1/3)	${(2 y - 3)}^{\frac{2}{3}} = {(3 y)}^{\frac{1}{3}}$
190131	Graph	y<=x+1 y<=x^2-3x	$y \leq x + 1$ $y \leq x^{2} - 3 x$
190132	Simplify	(x+ square root of 7)(x- square root of 7)	$(x + \sqrt{7}) (x - \sqrt{7})$
190133	Solve for x	square root of x+16=3 square root of x	$\sqrt{x + 16} = 3 \sqrt{x}$
190134	Simplify	(1/(x^2)-1/9)/(5+15/x)	$\frac{\frac{1}{x^{2}} - \frac{1}{9}}{5 + \frac{15}{x}}$
190135	Find All Complex Solutions	1/x+2/(x+1)=5/6	$\frac{1}{x} + \frac{2}{x + 1} = \frac{5}{6}$
190136	Solve the Inequality for x	(3x+6)/(2x-12)<=0	$\frac{3 x + 6}{2 x - 12} \leq 0$
190137	Solve the System of Equations	p=6-2q p=4+q	$p = 6 - 2 q$ $p = 4 + q$
190138	Write in Slope-Intercept Form	(-9,-9) and (-6,0)	$(- 9, - 9)$ and $(- 6, 0)$
190139	Graph	y=-3cot(x+(3pi)/4)	$y = - 3 \cot (x + \frac{3 π}{4})$
190140	Find the Distance Between Two Points	(1,0) and (7,-8)	$(1, 0)$ and $(7, - 8)$
190141	Solve for x	(x-p)/(x+p)=2/7	$\frac{x - p}{x + p} = \frac{2}{7}$
190142	Solve for x	x^3-x^2-x=-2	$x^{3} - x^{2} - x = - 2$
190143	Graph	y>=\|x+5\|-3	$y \geq \| x + 5 \| - 3$
190144	Find the Distance Between Two Points	(0,-5) and (7,2)	$(0, - 5)$ and $(7, 2)$
190145	Write the Fraction in Simplest Form	1/2-1/4	$\frac{1}{2} - \frac{1}{4}$
190146	Simplify	(3v+2)-(2/3v-1/4)	$(3 v + 2) - (\frac{2}{3} v - \frac{1}{4})$
190147	Evaluate	(3(2a)^(3/2))^2	${(3 {(2 a)}^{\frac{3}{2}})}^{2}$
190148	Evaluate	2-8÷(-2)-3--12÷(-6)*-2	$2 - 8 \div (- 2) - 3 - - 12 \div (- 6) \times - 2$
190149	Solve for x	2^(x+2)=16^x	$2^{x + 2} = 16^{x}$
190150	Find the Distance Between Two Points	(-7,-6) and (-3,2)	$(- 7, - 6)$ and $(- 3, 2)$
190151	Graph Using a Table of Values	f(x)=(x+3)/2	$f (x) = \frac{x + 3}{2}$
190152	Graph	5-y>=x	$5 - y \geq x$
190153	Simplify	square root of ( fifth root of x^4 fourth root of y^3)/( cube root of x^2)	$\sqrt{\frac{\sqrt[5]{x^{4}} \sqrt[4]{y^{3}}}{\sqrt[3]{x^{2}}}}$
190154	Solve for x	(3x)/(x+5)+8/x=2/x	$\frac{3 x}{x + 5} + \frac{8}{x} = \frac{2}{x}$
190155	Graph	f(x)=1/2x^6+3/2x^5	$f (x) = \frac{1}{2} x^{6} + \frac{3}{2} x^{5}$
190156	Evaluate the Function	f(x-3) = square root of x+3+2	$f (x - 3) = \sqrt{x + 3} + 2$
190157	Find the Roots (Zeros)	f(x)=(x-2)(x+3)(2x+3)	$f (x) = (x - 2) (x + 3) (2 x + 3)$
190158	Solve for x	1/4(x-4)+x=14	$\frac{1}{4} (x - 4) + x = 14$
190159	Solve for x	3x+4y=16 for x	$3 x + 4 y = 16$ for $x$
190160	Factor by Grouping	x^2-xy-4x+4y	$x^{2} - x y - 4 x + 4 y$
190161	Write in Standard Form	log base 3 of x+6+ log base 3 of x+4=1	$\log_{3} (x + 6) + \log_{3} (x + 4) = 1$
190162	Simplify	6x square root of 7x^3+x^2 square root of 63x	$6 x \sqrt{7 x^{3}} + x^{2} \sqrt{63 x}$
190163	Evaluate	2(a-5)+2	$2 (a - 5) + 2$
190164	Solve for x	cube root of x^2-12 = cube root of 4x	$\sqrt[3]{x^{2} - 12} = \sqrt[3]{4 x}$
190165	Solve Using the Quadratic Formula	f(x)=4x^2-12x+9	$f (x) = 4 x^{2} - 12 x + 9$
190166	Write in Standard Form	(x^2)/2-3x+4x^3+6	$\frac{x^{2}}{2} - 3 x + 4 x^{3} + 6$
190167	Solve for n	2\|3n+3\|<12	$2 \| 3 n + 3 \| < 12$
190168	Solve the Inequality for x	(x+12)/(x+2)-3>=0	$\frac{x + 12}{x + 2} - 3 \geq 0$
190169	Solve for y	x-y=-4 for y	$x - y = - 4$ for $y$
190170	Multiply	-2/3*1/2	$- \frac{2}{3} \cdot \frac{1}{2}$
190171	Simplify	((c+3)/(c^2-4))÷((c+2)/(3(c^2-9)))	$\frac{c + 3}{c^{2} - 4} \div \frac{c + 2}{3 (c^{2} - 9)}$
190172	Find the Point-Slope Form	(-8,-8) , (-7,9)	$(- 8, - 8)$ , $(- 7, 9)$
190173	Evaluate	1/(2(4)^(1/2))-3/(2(4)^(3/2))	$\frac{1}{2 {(4)}^{\frac{1}{2}}} - \frac{3}{2 {(4)}^{\frac{3}{2}}}$
190174	Solve for x	16(4x-1)^2=25	$16 {(4 x - 1)}^{2} = 25$
190175	Solve for d	d^2+d-7=-5	$d^{2} + d - 7 = - 5$
190176	Graph	5+x<-3	$5 + x < - 3$
190177	Simplify	(12x^3y^2z^4)/(18xy^2z^3)	$\frac{12 x^{3} y^{2} z^{4}}{18 x y^{2} z^{3}}$
190178	Simplify	( fifth root of 3^2)^(1/3)	${(\sqrt[5]{3^{2}})}^{\frac{1}{3}}$
190179	Solve the System of Equations	2x-y+3z=-5 -x+y-z=1 4x-3y+5z=-7	$2 x - y + 3 z = - 5$ $- x + y - z = 1$ $4 x - 3 y + 5 z = - 7$
190180	Simplify	12/(a-4)+(3a)/(4-a)	$\frac{12}{a - 4} + \frac{3 a}{4 - a}$
190181	Solve for a	0.75+2(a-0.5)=3a-0.4	$0.75 + 2 (a - 0.5) = 3 a - 0.4$
190182	Find the Product	(2+x)(2-x)	$(2 + x) (2 - x)$
190183	Simplify	(4 square root of 3)/3*2	$\frac{4 \sqrt{3}}{3} \cdot 2$
190184	Divide	1 3/5÷(2/3)	$1 \frac{3}{5} \div \frac{2}{3}$
190185	Simplify	9/(x^2-9x)-x/(9x-81)	$\frac{9}{x^{2} - 9 x} - \frac{x}{9 x - 81}$
190186	Find the Distance Between Two Points	(-5,-9) and (-8,0)	$(- 5, - 9)$ and $(- 8, 0)$
190187	Solve for x	x^4-9=0	$x^{4} - 9 = 0$
190188	Find the Holes in the Graph	(2x^2+6x)/(-4x^2+8x)	$\frac{2 x^{2} + 6 x}{- 4 x^{2} + 8 x}$
190189	Solve the System of Equations	xy=-4 2y=x-6	$x y = - 4$ $2 y = x - 6$
190190	Solve for x	-5(-6x-6)=8+4/3(3/2x-6)+5x	$- 5 (- 6 x - 6) = 8 + \frac{4}{3} (\frac{3}{2} x - 6) + 5 x$
190191	Factor	(m+n)(a-2)+(m-n)(a-2)	$(m + n) (a - 2) + (m - n) (a - 2)$
190192	Graph	y>=1/3x-4/3	$y \geq \frac{1}{3} x - \frac{4}{3}$
190193	Simplify	17x>-17	$17 x > - 17$
190194	Factor	P(x)=x^4-4x^3+3x^2	$P (x) = x^{4} - 4 x^{3} + 3 x^{2}$
190195	Find the Product	(3a+b)^2	${(3 a + b)}^{2}$
190196	Convert to Polar	(x-6)^2+y^2=36	${(x - 6)}^{2} + y^{2} = 36$
190197	Graph	f(x)=inx	$f (x) = i n x$
190198	Find the Excluded Values	(-3x+21)/(-2x-4)*(x^2-16)/(x-7)	$\frac{- 3 x + 21}{- 2 x - 4} \cdot \frac{x^{2} - 16}{x - 7}$
190199	Simplify	(5x^2)/(10x)*(6x)/(5x^5)	$\frac{5 x^{2}}{10 x} \cdot \frac{6 x}{5 x^{5}}$
190200	Solve for f	6-0.25f=f-3	$6 - 0.25 f = f - 3$