Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
181901	Solve the System of Equations	2x+y+z=-3 3x-5y+3z=-4 5x-y+2z=-2	$2 x + y + z = - 3$ $3 x - 5 y + 3 z = - 4$ $5 x - y + 2 z = - 2$
181902	Find the x and y Intercepts	f(x)=-2(x^2+3)(2x-4)(3x+1)^2	$f (x) = - 2 (x^{2} + 3) (2 x - 4) {(3 x + 1)}^{2}$
181903	Find the Exact Value	cube root of 1/8	$\sqrt[3]{\frac{1}{8}}$
181904	Simplify	(18ab)/(6b)	$\frac{18 a b}{6 b}$
181905	Write in Standard Form	-2x+8=-9x^2	$- 2 x + 8 = - 9 x^{2}$
181906	Find the x and y Intercepts	f(x)=-(x+3)(x+2)(x-1)	$f (x) = - (x + 3) (x + 2) (x - 1)$
181907	Solve for x	square root of 7-2x- square root of 5+x = square root of 4+3x	$\sqrt{7 - 2 x} - \sqrt{5 + x} = \sqrt{4 + 3 x}$
181908	Write in Exponential Form	(8^-8)(8^3)	$(8^{- 8}) (8^{3})$
181909	Factor	(x^2-6x)^2+(x^2-6x)-56	${(x^{2} - 6 x)}^{2} + (x^{2} - 6 x) - 56$
181910	Simplify	(4x-3)/(x^2-9)-(2x-3)/(x-3)	$\frac{4 x - 3}{x^{2} - 9} - \frac{2 x - 3}{x - 3}$
181911	Graph	f(x)=5^x , f^-1(x) = log base 5 of x	$f (x) = 5^{x}$ , $f^{- 1} (x) = \log_{5} (x)$
181912	Graph	y<=-x^2+4	$y \leq - x^{2} + 4$
181913	Solve for q	-13(q+4)=7q+16	$- 13 (q + 4) = 7 q + 16$
181914	Find the Holes in the Graph	f(x)=(x-6)/(5x+9)	$f (x) = \frac{x - 6}{5 x + 9}$
181915	Find the GCF	12a^3b+4a-8a^2b	$12 a^{3} b + 4 a - 8 a^{2} b$
181916	Solve for x	18x-5=3(6x-2)	$18 x - 5 = 3 (6 x - 2)$
181917	Solve for x	3/(2x-2)+1/2=2/(x-1)	$\frac{3}{2 x - 2} + \frac{1}{2} = \frac{2}{x - 1}$
181918	Solve for p	9-4(2p-1)=45	$9 - 4 (2 p - 1) = 45$
181919	Solve the Inequality for x	10x>=-100	$10 x \geq - 100$
181920	Find the First Term	a_n=2^(n+1)	$a_{n} = 2^{n + 1}$
181921	Graph	-3x-3<=6	$- 3 x - 3 \leq 6$
181922	Simplify	-3xy^2+2x^2y+8xy^2-2xy-3xy^2+xy	$- 3 x y^{2} + 2 x^{2} y + 8 x y^{2} - 2 x y - 3 x y^{2} + x y$
181923	Find the Distance Between Two Points	(0,-4) and (7,3)	$(0, - 4)$ and $(7, 3)$
181924	Convert to a Mixed Number	60%	$60 %$
181925	Graph	g(x)=\|f(x)\|	$g (x) = \| f (x) \|$
181926	Graph Using a Table of Values	f(x)=3/(x-2)	$f (x) = \frac{3}{x - 2}$
181927	Solve the Inequality for x	15(x-3)-14x>=14	$15 (x - 3) - 14 x \geq 14$
181928	Solve for x	7=3/a(x+5)	$7 = \frac{3}{a} (x + 5)$
181929	Solve for a	(x^5)^(1/4) cube root of x=x^a	${(x^{5})}^{\frac{1}{4}} \sqrt[3]{x} = x^{a}$
181930	Solve Using the Quadratic Formula	x^4-6x^2+8=0	$x^{4} - 6 x^{2} + 8 = 0$
181931	Divide	(7/6)÷(2/3)	$\frac{7}{6} \div \frac{2}{3}$
181932	Solve the Absolute Value Inequality for x	\|x\|>=2	$\| x \| \geq 2$
181933	Simplify	(x-(-2))^2	${(x - (- 2))}^{2}$
181934	Solve Using the Quadratic Formula	(x-4)/(x-5)-(2x-1)/(x+4)=(1-2x)/(x^2-x-20)	$\frac{x - 4}{x - 5} - \frac{2 x - 1}{x + 4} = \frac{1 - 2 x}{x^{2} - x - 20}$
181935	Find the Axis of Symmetry	y=ax^2+c	$y = a x^{2} + c$
181936	Graph	x-y>=4 x+5y<=0	$x - y \geq 4$ $x + 5 y \leq 0$
181937	Factor	(m+2)^2-(m+2)+mn*(n+2)+2n(n+2)	${(m + 2)}^{2} - (m + 2) + m n \cdot (n + 2) + 2 n (n + 2)$
181938	Find the Exact Value	tan(arccos(u))	$\tan (\arccos (u))$
181939	Solve for x	(2x)/(2x+1)+(2x^2)/(2x^2+3x+1)=1/(x+1)	$\frac{2 x}{2 x + 1} + \frac{2 x^{2}}{2 x^{2} + 3 x + 1} = \frac{1}{x + 1}$
181940	Convert to Interval Notation	5-9(8-2x)<=2x-115	$5 - 9 (8 - 2 x) \leq 2 x - 115$
181941	Solve for x	8x-4=2x^3-x^2	$8 x - 4 = 2 x^{3} - x^{2}$
181942	Find the Exact Value	sin(495 degrees )	$\sin (495 °)$
181943	Simplify	(20mn)/(60m)	$\frac{20 m n}{60 m}$
181944	Simplify	15 square root of 2*-2 square root of 20	$15 \sqrt{2} \cdot - 2 \sqrt{20}$
181945	Evaluate	(2(3+5)+6)4	$(2 \cdot (3 + 5) + 6) \cdot 4$
181946	Evaluate	log of 14/3+ log of 11/5- log of 22/15	$\log (\frac{14}{3}) + \log (\frac{11}{5}) - \log (\frac{22}{15})$
181947	Solve the Inequality for r	2r+3<7	$2 r + 3 < 7$
181948	Reduce	7a-9b+6a-4b	$7 a - 9 b + 6 a - 4 b$
181949	Find g(f(x))	f(x)=x+2 , g(x)=2x^2-3x-2	$f (x) = x + 2$ , $g (x) = 2 x^{2} - 3 x - 2$
181950	Graph	f(x)=-3x-14 if x<=-3; -x if x>1	$f (x) = {\begin{cases} - 3 x - 14 & x \leq - 3 \\ - x & x > 1 \end{cases}$
181951	Evaluate	1-(-8)-12/-3	$1 - (- 8) - \frac{12}{- 3}$
181952	Write in Standard Form	x=-6	$x = - 6$
181953	Solve for x	3/x-1/3=1/6	$\frac{3}{x} - \frac{1}{3} = \frac{1}{6}$
181954	Solve for c	1/2c=2(1/2c-3)	$\frac{1}{2} c = 2 (\frac{1}{2} c - 3)$
181955	Evaluate	cos(2)((3pi)/4)	$\cos (2) (\frac{3 π}{4})$
181956	Solve the Absolute Value Inequality for x	\|x-3\|>7	$\| x - 3 \| > 7$
181957	Simplify	(15(x+6)^2)/(15x^2-60x-900)*(x^5-7x^4-30x^3)/(x^4+9x^3+18x^2)	$\frac{15 {(x + 6)}^{2}}{15 x^{2} - 60 x - 900} \cdot \frac{x^{5} - 7 x^{4} - 30 x^{3}}{x^{4} + 9 x^{3} + 18 x^{2}}$
181958	Find the Exact Value	-1f(-9)+7g(6)	$- 1 \cdot f (- 9) + 7 \cdot g (6)$
181959	Find g(f(x))	f(x)=4x g(x)=4x	$f (x) = 4 x$ $g (x) = 4 x$
181960	Simplify	(x^3-16x)/(x^5+14x^4+40x^3)*(9x^2+18x-720)/(6x-24)	$\frac{x^{3} - 16 x}{x^{5} + 14 x^{4} + 40 x^{3}} \cdot \frac{9 x^{2} + 18 x - 720}{6 x - 24}$
181961	Solve for x	3x-3=-3(1-x)	$3 x - 3 = - 3 (1 - x)$
181962	Graph	graph y=-3x+7	graph $y = - 3 x + 7$
181963	Solve for t	t=w-ma	$t = w - m a$
181964	Solve for a	(x^2)/(x^(1/2))=x^a	$\frac{x^{2}}{x^{\frac{1}{2}}} = x^{a}$
181965	Factor	(2+x)^3-8	${(2 + x)}^{3} - 8$
181966	Write in Standard Form	x^2+5x+y^2-y+7=0	$x^{2} + 5 x + y^{2} - y + 7 = 0$
181967	Simplify	( square root of 12)/(4- square root of 3)	$\frac{\sqrt{12}}{4 - \sqrt{3}}$
181968	Multiply	(5x^2y^3z)*(2y^2z^2)	$(5 x^{2} y^{3} z) \cdot (2 y^{2} z^{2})$
181969	Factor	25x^6+10x^5+x^4	$25 x^{6} + 10 x^{5} + x^{4}$
181970	Find the x and y Intercepts	f(x)=2x(x+3)	$f (x) = 2 x (x + 3)$
181971	Simplify	(4x^2-8x)/(x+1)*(x^2+2x+1)/(4x)	$\frac{4 x^{2} - 8 x}{x + 1} \cdot \frac{x^{2} + 2 x + 1}{4 x}$
181972	Graph	-4<3x+2<=11	$- 4 < 3 x + 2 \leq 11$
181973	Find the Exact Value	(3,456)	$(3, 456)$
181974	Write in Standard Form	f(x)=x^2-2x+5	$f (x) = x^{2} - 2 x + 5$
181975	Solve the Inequality for y	-3x-4y<-12	$- 3 x - 4 y < - 12$
181976	Graph	x=-y^2+4	$x = - y^{2} + 4$
181977	Simplify	(5^-1)/(5^2)	$\frac{5^{- 1}}{5^{2}}$
181978	Evaluate	(2pi)/-2	$\frac{2 π}{- 2}$
181979	Evaluate	24=6(-e-3)	$24 = 6 (- e - 3)$
181980	Graph	y+4<=\|x-2\|	$y + 4 \leq \| x - 2 \|$
181981	Solve for a	x^2x^(1/5)=x^a	$x^{2} x^{\frac{1}{5}} = x^{a}$
181982	Solve for x	1/(x-4)+8=4/(x^2-4x)	$\frac{1}{x - 4} + 8 = \frac{4}{x^{2} - 4 x}$
181983	Simplify	(1-(x^2)/4)/((x-3)/10-1/x)	$\frac{1 - \frac{x^{2}}{4}}{\frac{x - 3}{10} - \frac{1}{x}}$
181984	Solve for x	3/(x-1)=4/(2x+3)	$\frac{3}{x - 1} = \frac{4}{2 x + 3}$
181985	Solve for y	w=1/7(x+y-z)	$w = \frac{1}{7} (x + y - z)$
181986	Solve for x	a=bx+cx+d for x	$a = b x + c x + d$ for $x$
181987	Evaluate	(2-0)^2	${(2 - 0)}^{2}$
181988	Find the x and y Intercepts	f(x)=(3x+6)(x^2+3)	$f (x) = (3 x + 6) (x^{2} + 3)$
181989	Simplify	4v^(2/3)*v^-1	$4 v^{\frac{2}{3}} \cdot v^{- 1}$
181990	Evaluate	pi*25	$π \cdot 25$
181991	Evaluate	4*e^(2.7x)=33	$4 \cdot e^{2.7 x} = 33$
181992	Solve the Inequality for x	x^2+5x>=-6	$x^{2} + 5 x \geq - 6$
181993	Find All Complex Solutions	2^x=3	$2^{x} = 3$
181994	Solve the Inequality for x	2x+7<=3x-5	$2 x + 7 \leq 3 x - 5$
181995	Simplify	square root of 4* square root of -1	$\sqrt{4} \cdot \sqrt{- 1}$
181996	Solve Using the Quadratic Formula	4x^2-10=10-20x	$4 x^{2} - 10 = 10 - 20 x$
181997	Solve for x	-3/8x+2=0	$- \frac{3}{8} x + 2 = 0$
181998	Simplify	(x^4-6x^3)/(4x^2-20x+24)*(2x^2+6x-36)/(x^2-36)	$\frac{x^{4} - 6 x^{3}}{4 x^{2} - 20 x + 24} \cdot \frac{2 x^{2} + 6 x - 36}{x^{2} - 36}$
181999	Simplify	(3a^2-3bc^2+4bc)-(-8a^2+5bc)	$(3 a^{2} - 3 b c^{2} + 4 b c) - (- 8 a^{2} + 5 b c)$
182000	Solve for x	2x^(3/4)-14=40	$2 x^{\frac{3}{4}} - 14 = 40$