Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
198101	Solve for x	(x-9)/x+(2x+3)/(7x)=-3	$\frac{x - 9}{x} + \frac{2 x + 3}{7 x} = - 3$
198102	Solve for n	(12^n)/(12^5)=12^4	$\frac{12^{n}}{12^{5}} = 12^{4}$
198103	Simplify	fifth root of 10* fifth root of 10^2	$\sqrt[5]{10} \cdot \sqrt[5]{10^{2}}$
198104	Solve the Absolute Value Inequality for x	\|x/2-5\|+2>10	$\| \frac{x}{2} - 5 \| + 2 > 10$
198105	Factor	3(2x-1)^2(2)(x+3)^(1/2)+(2x-1)^3(1/2)(x+3)^(-1/2)	$3 {(2 x - 1)}^{2} (2) {(x + 3)}^{\frac{1}{2}} + {(2 x - 1)}^{3} (\frac{1}{2}) {(x + 3)}^{- \frac{1}{2}}$
198106	Solve for c	1/a=1/b+1/c	$\frac{1}{a} = \frac{1}{b} + \frac{1}{c}$
198107	Evaluate	(4/3)/( square root of 9-(4/3)^2)	$\frac{\frac{4}{3}}{\sqrt{9 - {(\frac{4}{3})}^{2}}}$
198108	Solve for x	f(x)=x+5	$f (x) = x + 5$
198109	Expand the Logarithmic Expression	natural log of 14xy	$\ln (14 x y)$
198110	Describe the Transformation	y=f(x-2)+3	$y = f (x - 2) + 3$
198111	Solve for x	x-2/7=6/7	$x - \frac{2}{7} = \frac{6}{7}$
198112	Find the LCD	-5/(4x+12) and x/(x+3)	$\frac{- 5}{4 x + 12}$ and $\frac{x}{x + 3}$
198113	Find the Distance Between Two Points	(0,0) and (-12,9)	$(0, 0)$ and $(- 12, 9)$
198114	Simplify	(3ab-5x^2)^2	${(3 a b - 5 x^{2})}^{2}$
198115	Evaluate	(2-(-2))	$(2 - (- 2))$
198116	Simplify	-2(4v^2+5v)+v(v^2+6v)	$- 2 (4 v^{2} + 5 v) + v (v^{2} + 6 v)$
198117	Solve for x	-4(1/2x+2)=-2x-8+4x	$- 4 (\frac{1}{2} x + 2) = - 2 x - 8 + 4 x$
198118	Write in Standard Form	(-2+ square root of -8)+(7- square root of -52)	$(- 2 + \sqrt{- 8}) + (7 - \sqrt{- 52})$
198119	Find All Complex Solutions	-2/(x-3)=x/(x-6)	$- \frac{2}{x - 3} = \frac{x}{x - 6}$
198120	Graph Using a Table of Values	f(x)=(3x+3)/(-x-2)	$f (x) = \frac{3 x + 3}{- x - 2}$
198121	Find the Inverse	f(x)=(x^3-2)^(1/5)+3	$f (x) = {(x^{3} - 2)}^{\frac{1}{5}} + 3$
198122	Find the Degree, Leading Term, and Leading Coefficient	a	$a$
198123	Factor	(4x^2-25)	$(4 x^{2} - 25)$
198124	Find the Distance Between Two Points	(-6,6) and (1,8)	$(- 6, 6)$ and $(1, 8)$
198125	Simplify	(-y/4+4/x)/((2y)/x)	$\frac{- \frac{y}{4} + \frac{4}{x}}{\frac{2 y}{x}}$
198126	Solve the Inequality for y	2y+3>7+y	$2 y + 3 > 7 + y$
198127	Simplify	(x+y)/(x^2-y^2)	$\frac{x + y}{x^{2} - y^{2}}$
198128	Solve for y	x^(2/3)+y^(2/3)=1	$x^{\frac{2}{3}} + y^{\frac{2}{3}} = 1$
198129	Simplify	((c^2-4)/(6c^4+15c^3))÷((c^2+4c+4)/(12c^3+30c^2))	$\frac{c^{2} - 4}{6 c^{4} + 15 c^{3}} \div \frac{c^{2} + 4 c + 4}{12 c^{3} + 30 c^{2}}$
198130	Solve for x	8+(3x+7)/4=(x+5)/12	$8 + \frac{3 x + 7}{4} = \frac{x + 5}{12}$
198131	Convert to a Simplified Fraction	(4^9)/(4^3)	$\frac{4^{9}}{4^{3}}$
198132	Simplify	2x square root of 6xy^2	$2 x \sqrt{6 x y^{2}}$
198133	Find the x and y Intercepts	f(x) = square root of 4-x^2	$f (x) = \sqrt{4 - x^{2}}$
198134	Multiply	7/8*24	$\frac{7}{8} \times 24$
198135	Solve for I	P=4piIr^2	$P = 4 π I r^{2}$
198136	Find the Vertex Form	y=x^2+x+2	$y = x^{2} + x + 2$
198137	Factor	x^2+2ax-15a^2	$x^{2} + 2 a x - 15 a^{2}$
198138	Graph	f(x)=x/2+2	$f (x) = \frac{x}{2} + 2$
198139	Simplify	-2 cube root of 64+-5^2	$- 2 \sqrt[3]{64} + - 5^{2}$
198140	Solve the Inequality for x	(x+6)(x^2-16)(1-x)<=0	$(x + 6) (x^{2} - 16) (1 - x) \leq 0$
198141	Solve for b	y=mx+b ; for b	$y = m x + b$ ; for $b$
198142	Simplify	(p^-5)/(q^0)	$\frac{p^{- 5}}{q^{0}}$
198143	Divide	((ad)/(bc))÷((ab)/b)	$\frac{a d}{b c} \div \frac{a b}{b}$
198144	Simplify	(x-y)(y-x)	$(x - y) (y - x)$
198145	Evaluate	2-8÷(-2)-3--12÷(-6)*-2	$2 - 8 \div (- 2) - 3 - - 12 \div (- 6) \cdot - 2$
198146	Simplify	( square root of 4-x)^2	${(\sqrt{4 - x})}^{2}$
198147	Rationalize the Denominator	(3+ square root of 22)/(3- square root of 22)	$\frac{3 + \sqrt{22}}{3 - \sqrt{22}}$
198148	Solve the Inequality for x	(2-x)(x+1)(x^2-16)>0	$(2 - x) (x + 1) (x^{2} - 16) > 0$
198149	Solve the System of Equations	x=y-3 x/2+2y=6	$x = y - 3$ $\frac{x}{2} + 2 y = 6$
198150	Solve for x	4(3-x)+7x=4x+12+2x	$4 (3 - x) + 7 x = 4 x + 12 + 2 x$
198151	Graph	f(x) = log base 1/3 of x-4	$f (x) = \log_{\frac{1}{3}} (x - 4)$
198152	Solve for x	4/3x+2/3x=1/3x+5	$\frac{4}{3} x + \frac{2}{3} x = \frac{1}{3} x + 5$
198153	Find the Product	(1-a^2)^3	${(1 - a^{2})}^{3}$
198154	Solve for y	-1/3y+3/5y+3/4y=-2/5	$- \frac{1}{3} y + \frac{3}{5} y + \frac{3}{4} y = - \frac{2}{5}$
198155	Find the Exact Value	i^10	$i^{10}$
198156	Find the Roots (Zeros)	x^2=8x+4	$x^{2} = 8 x + 4$
198157	Combine Like Terms	(9x^2-5x)-(-3x-8)	$(9 x^{2} - 5 x) - (- 3 x - 8)$
198158	Solve the Inequality for x	-x^2+9>=9	$- x^{2} + 9 \geq 9$
198159	Find the Domain and Range	x^3-3x^2	$x^{3} - 3 x^{2}$
198160	Solve for x	-2(x^2-13)(x^2+9)=0	$- 2 (x^{2} - 13) (x^{2} + 9) = 0$
198161	Solve the System of Equations	-x+y=-8 -4x+y=-33	$- x + y = - 8$ $- 4 x + y = - 33$
198162	Solve for x	7(x+2)-(6x-5)=-2	$7 (x + 2) - (6 x - 5) = - 2$
198163	Find the Discriminant	1/2x^2-8=0	$\frac{1}{2} x^{2} - 8 = 0$
198164	Find the LCD	9/(2x) and 1/(4x+16)	$\frac{9}{2 x}$ and $\frac{1}{4 x + 16}$
198165	Simplify	(16/2)-4*5	$(\frac{16}{2}) - 4 \cdot 5$
198166	Solve the Inequality for m	m-8>-12	$m - 8 > - 12$
198167	Solve for x	cube root of x^2-8=2	$\sqrt[3]{x^{2}} - 8 = 2$
198168	Find the Distance Between Two Points	(6,7) and (8,2)	$(6, 7)$ and $(8, 2)$
198169	Describe the Transformation	y=g(2x)	$y = g (2 x)$
198170	Solve for x	2/(x+4)-(2x+5)/(4-x)=(3x+1)/(x-4)	$\frac{2}{x + 4} - \frac{2 x + 5}{4 - x} = \frac{3 x + 1}{x - 4}$
198171	Solve Using the Quadratic Formula	1/(x^2)+1/x+1=7/12	$\frac{1}{x^{2}} + \frac{1}{x} + 1 = \frac{7}{12}$
198172	Find the Holes in the Graph	(-4x+17)/(3x)	$\frac{- 4 x + 17}{3 x}$
198173	Solve for x	2x^2-5x=-3	$2 x^{2} - 5 x = - 3$
198174	Evaluate	y=f(-1)	$y = f (- 1)$
198175	Find the x and y Intercepts	y=1/2*6^x	$y = \frac{1}{2} \cdot 6^{x}$
198176	Solve the Inequality for x	-5x+4<=-4(x-1)	$- 5 x + 4 \leq - 4 (x - 1)$
198177	Find the Distance Between Two Points	(1,5) and (-5,8)	$(1, 5)$ and $(- 5, 8)$
198178	Solve the Inequality for x	x/(x+3)-3/(3-x)>(x+9)/(x^2-9)	$\frac{x}{x + 3} - \frac{3}{3 - x} > \frac{x + 9}{x^{2} - 9}$
198179	Solve for a	(1+2)^2=a	${(1 + 2)}^{2} = a$
198180	Simplify	xy^2+2x-xy^2+x^2y-5x	$x y^{2} + 2 x - x y^{2} + x^{2} y - 5 x$
198181	Write in Standard Form	x=4-y	$x = 4 - y$
198182	Graph	g(x)=2+e^x	$g (x) = 2 + e^{x}$
198183	Simplify	9x^2+7x-2 from 8x-10	$9 x^{2} + 7 x - 2$ from $8 x - 10$
198184	Subtract	(2x+1)/(x-4)-(x-5)/(x^2-3x-4)	$\frac{2 x + 1}{x - 4} - \frac{x - 5}{x^{2} - 3 x - 4}$
198185	Graph	y=\|x^2+2x-3\|	$y = \| x^{2} + 2 x - 3 \|$
198186	Find the LCD	1/(4x+16) and 9/(2x)	$\frac{1}{4 x + 16}$ and $\frac{9}{2 x}$
198187	Graph	y=(x-h)^2-k	$y = {(x - h)}^{2} - k$
198188	Evaluate	24+\|2-4\|	$24 + \| 2 - 4 \|$
198189	Graph	y=H(x)+2	$y = H (x) + 2$
198190	Solve Using the Quadratic Formula	x^4-13x^2+36	$x^{4} - 13 x^{2} + 36$
198191	Solve for x	2/5+4/(10x+5)=7/(2x+1)	$\frac{2}{5} + \frac{4}{10 x + 5} = \frac{7}{2 x + 1}$
198192	Divide	(3x^4-7x^3+6x^2-x-1)÷(x^2-x+2)	$(3 x^{4} - 7 x^{3} + 6 x^{2} - x - 1) \div (x^{2} - x + 2)$
198193	Evaluate	f(-x)=3x^2+3x-3	$f (- x) = 3 x^{2} + 3 x - 3$
198194	Simplify	i^38*i^9	$i^{38} \cdot i^{9}$
198195	Find the Holes in the Graph	(-3x^2+75)/(5x^2+35x+50)	$\frac{- 3 x^{2} + 75}{5 x^{2} + 35 x + 50}$
198196	Simplify	(x/(x-2)+1)/(3/(x^2-4)+1)	$\frac{\frac{x}{x - 2} + 1}{\frac{3}{x^{2} - 4} + 1}$
198197	Solve for a	y=a(b)^x	$y = a {(b)}^{x}$
198198	Find All Complex Solutions	tan(x)^2-sec(x)=1	$\tan^{2} (x) - \sec (x) = 1$
198199	Simplify	(a^3b^45^4)/(b^2*5)	$\frac{a^{3} \cdot b^{4} \cdot 5^{4}}{b^{2} \cdot 5}$
198200	Simplify	((x^2-x-12)/(3x+9))÷((x^2+x-20)/(x+5))	$\frac{x^{2} - x - 12}{3 x + 9} \div \frac{x^{2} + x - 20}{x + 5}$