Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
180601	Evaluate	cos(theta)=0	$\cos (θ) = 0$
180602	Solve for z	x=7/8(y+z)	$x = \frac{7}{8} (y + z)$
180603	Solve for x	3^(2/3)=9^x	$3^{\frac{2}{3}} = 9^{x}$
180604	Solve the Inequality for w	4w^2-9>=0	$4 w^{2} - 9 \geq 0$
180605	Solve for x	1/2(x-16)=-4	$\frac{1}{2} (x - 16) = - 4$
180606	Evaluate	-4/(2(-1))	$- \frac{4}{2 (- 1)}$
180607	Find the Exact Value	sin(arcsin(( square root of 3)/2))	$\sin (\arcsin (\frac{\sqrt{3}}{2}))$
180608	Solve the System of Equations	5x+7y=6 -10x-14y=-12	$5 x + 7 y = 6$ $- 10 x - 14 y = - 12$
180609	Solve for a	1+9a-8=8a	$1 + 9 a - 8 = 8 a$
180610	Solve the System of Inequalities	x+5<=1 or x-7>-3	$x + 5 \leq 1$ or $x - 7 > - 3$
180611	Evaluate	(3^3*(12-2))÷2	$3^{3} \cdot (12 - 2) \div 2$
180612	Solve for h	5(1+4h)+2h=27	$5 (1 + 4 h) + 2 h = 27$
180613	Solve the Inequality for x	x^2-x-30>0	$x^{2} - x - 30 > 0$
180614	Solve the Rational Equation for x	(x+2)/3-(2x-4)/2=0	$\frac{x + 2}{3} - \frac{2 x - 4}{2} = 0$
180615	Solve the Inequality for k	4k-(3+3k)>2	$4 k - (3 + 3 k) > 2$
180616	Simplify	2x^2y square root of 20x^4y^4	$2 x^{2} y \sqrt{20 x^{4} y^{4}}$
180617	Solve the System of Equations	x+y=7 x-y=-1	$x + y = 7$ $x - y = - 1$
180618	Write in Standard Form	8x+3x^2+10=2	$8 x + 3 x^{2} + 10 = 2$
180619	Find the Axis of Symmetry	f(x)=2(x-9)^3+7	$f (x) = 2 {(x - 9)}^{3} + 7$
180620	Solve the System of Inequalities	4(1-k)>=-16 or 7-6k<-41	$4 (1 - k) \geq - 16$ or $7 - 6 k < - 41$
180621	Solve for θ	(cot(theta)- square root of 3)( square root of 2sin(theta)+1)=0	$(\cot (θ) - \sqrt{3}) (\sqrt{2} \sin (θ) + 1) = 0$
180622	Simplify	((27a^-5b^-3)/(3^5a^-7b^-5))^-1	${(\frac{27 a^{- 5} b^{- 3}}{3^{5} a^{- 7} b^{- 5}})}^{- 1}$
180623	Factor	1+m^9	$1 + m^{9}$
180624	Write in Standard Form	(-9n^4+8)-(-9n^4+2n^3+5n^2)	$(- 9 n^{4} + 8) - (- 9 n^{4} + 2 n^{3} + 5 n^{2})$
180625	Solve for x	(4x-3)/2=-3 1/2	$\frac{4 x - 3}{2} = - 3 \frac{1}{2}$
180626	Graph	f(x)=-3x+4 if x<1; 4x-3 if x>=1	$f (x) = {\begin{cases} - 3 x + 4 & x < 1 \\ 4 x - 3 & x \geq 1 \end{cases}$
180627	Find g(f(x))	f(x)=x-5 g(x)=(x^2-12)/(x^2+4)	$f (x) = x - 5$ $g (x) = \frac{x^{2} - 12}{x^{2} + 4}$
180628	Solve the Inequality for x	x^2+4x<0	$x^{2} + 4 x < 0$
180629	Factor by Grouping	6-2t-3p+tp	$6 - 2 t - 3 p + t p$
180630	Simplify	(4x)/(12x^2y)	$\frac{4 x}{12 x^{2} y}$
180631	Find All Complex Solutions	4x+2(x-5)=3(2x-4)	$4 x + 2 (x - 5) = 3 (2 x - 4)$
180632	Solve for x	x-(5+3x-(5x-(6+x)))=-3	$x - (5 + 3 x - (5 x - (6 + x))) = - 3$
180633	Evaluate	-12-6p-(-2)	$- 12 - 6 p - (- 2)$
180634	Evaluate	3^2+4^2=5^2	$3^{2} + 4^{2} = 5^{2}$
180635	Simplify	(20x^(1/2))/(5x^(1/4))	$\frac{20 x^{\frac{1}{2}}}{5 x^{\frac{1}{4}}}$
180636	Write in Standard Form	(5b^3+9b+4)-(9b-4)	$(5 b^{3} + 9 b + 4) - (9 b - 4)$
180637	Graph	-1<=x	$- 1 \leq x$
180638	Write Using Negative Exponents	x^4-x^3	$x^{4} - x^{3}$
180639	Solve for x	6\|x+4\|-4=3	$6 \| x + 4 \| - 4 = 3$
180640	Solve the Inequality for x	(x-3)^2>=0	${(x - 3)}^{2} \geq 0$
180641	Find the Exact Value	10^-10	$10^{- 10}$
180642	Graph	y>=x+4 y>=-1/3x-4	$y \geq x + 4$ $y \geq - \frac{1}{3} x - 4$
180643	Simplify	(x-4y)/(5x)-(4x)/(3x)	$\frac{x - 4 y}{5 x} - \frac{4 x}{3 x}$
180644	Graph	y<-2x-8 y>=x-5	$y < - 2 x - 8$ $y \geq x - 5$
180645	Evaluate	43.144^2	$4 \cdot 3.14 \cdot 4^{2}$
180646	Subtract	(7p+4p^3-8)-(-3p^2+2-9p)	$(7 p + 4 p^{3} - 8) - (- 3 p^{2} + 2 - 9 p)$
180647	Solve for x	square root of 3x-3- square root of x+12=0	$\sqrt{3 x - 3} - \sqrt{x + 12} = 0$
180648	Solve the Inequality for x	2x^2+7x-4<=0	$2 x^{2} + 7 x - 4 \leq 0$
180649	Simplify	(1/2)^2-6(2-2/3)	${(\frac{1}{2})}^{2} - 6 (2 - \frac{2}{3})$
180650	Multiply	b/15*21/b	$\frac{b}{15} \cdot \frac{21}{b}$
180651	Solve for x	18x+20+30x=15-6x	$18 x + 20 + 30 x = 15 - 6 x$
180652	Find All Complex Solutions	4sin(x)^2-4sin(x)+1=0	$4 \sin^{2} (x) - 4 \sin (x) + 1 = 0$
180653	Find the Holes in the Graph	f(x)=x/(x+8)	$f (x) = \frac{x}{x + 8}$
180654	Simplify	12/( square root of 6+ square root of 2)	$\frac{12}{\sqrt{6} + \sqrt{2}}$
180655	Find the x and y Intercepts	2x+2y	$2 x + 2 y$
180656	Graph	y=3x y=x+3	$y = 3 x$ $y = x + 3$
180657	Solve for θ	sec(theta)-2=0	$\sec (θ) - 2 = 0$
180658	Write in Standard Form	5x^2-6=-x	$5 x^{2} - 6 = - x$
180659	Simplify	(-t^4-5t^3-10t^2)+(9t^3+3t^2-1)	$(- t^{4} - 5 t^{3} - 10 t^{2}) + (9 t^{3} + 3 t^{2} - 1)$
180660	Solve the System of Equations	x^2+y^2=49 y^2-6x=49	$x^{2} + y^{2} = 49$ $y^{2} - 6 x = 49$
180661	Simplify	7(n-p)+5p	$7 (n - p) + 5 p$
180662	Simplify	(4w^2-11w-3)/(16w^2-1)*(8w-2)/(9-w^2)	$\frac{4 w^{2} - 11 w - 3}{16 w^{2} - 1} \cdot \frac{8 w - 2}{9 - w^{2}}$
180663	Simplify	(9x^2-4)/(3x^2-5x+2)*(9x^4-6x^3+4x^2)/(27x^4+8x)	$\frac{9 x^{2} - 4}{3 x^{2} - 5 x + 2} \cdot \frac{9 x^{4} - 6 x^{3} + 4 x^{2}}{27 x^{4} + 8 x}$
180664	Simplify the Radical Expression	cube root of 8x^2y^6	$\sqrt[3]{8 x^{2} y^{6}}$
180665	Solve for n	5n^2+35=0	$5 n^{2} + 35 = 0$
180666	Evaluate	6^0*4^2	$6^{0} \cdot 4^{2}$
180667	Graph	y<=-x^2+7	$y \leq - x^{2} + 7$
180668	Evaluate	512z-4(5z+3z(27-15))+80	$512 z - 4 (5 z + 3 z (27 - 15)) + 80$
180669	Find the Complex Conjugate	3i+4	$3 i + 4$
180670	Solve for x	-\|x-4\|+2=-2x+7	$- \| x - 4 \| + 2 = - 2 x + 7$
180671	Multiply	100020 , 122 , 12*100	$1000 \cdot 20$ , $12 \cdot 2$ , $12 \cdot 100$
180672	Simplify	2*(3g-18h)	$2 \cdot (3 g - 18 h)$
180673	Solve for x	7x^4=56	$7 x^{4} = 56$
180674	Graph	y=x^4-x^3+3x^2+2	$y = x^{4} - x^{3} + 3 x^{2} + 2$
180675	Solve the Inequality for c	22<6c+4	$22 < 6 c + 4$
180676	Solve the Inequality for x	x^2>4x	$x^{2} > 4 x$
180677	Solve for x	(2x)/5=10/x	$\frac{2 x}{5} = \frac{10}{x}$
180678	Simplify	(x^2-9x)/(45x-5x^2)	$\frac{x^{2} - 9 x}{45 x - 5 x^{2}}$
180679	Find the Sum and Product of the Roots of the Quadratic Equation	9x^2=25	$9 x^{2} = 25$
180680	Graph	y = cube root of 1/2x	$y = \sqrt[3]{\frac{1}{2} x}$
180681	Write in Standard Form	(3x+2)(3x^2+x+4)	$(3 x + 2) (3 x^{2} + x + 4)$
180682	Solve for k	3(1/4k+1)=k-4	$3 (\frac{1}{4} k + 1) = k - 4$
180683	Solve for x	-2x+6=-(2/3)^x+5	$- 2 x + 6 = - {(\frac{2}{3})}^{x} + 5$
180684	Graph	y=1-e^x	$y = 1 - e^{x}$
180685	Simplify	4(x^2-2x)-2(x^2-3)	$4 (x^{2} - 2 x) - 2 (x^{2} - 3)$
180686	Factor	24x^2y+18xy^2-2y	$24 x^{2} y + 18 x y^{2} - 2 y$
180687	Solve for y	5 square root of y-2=10	$5 \sqrt{y - 2} = 10$
180688	Convert to Scientific Notation	(3.810^-5)÷8.110^3	$3.8 \times 10^{- 5} \div 8.1 \times 10^{3}$
180689	Find the Exact Value	3-(-2)	$3 - (- 2)$
180690	Evaluate	(5!)/((5-1)!)	$\frac{5!}{(5 - 1)!}$
180691	Simplify	5+(a+4)/(a-4)	$5 + \frac{a + 4}{a - 4}$
180692	Solve for z	-7+10z>-27	$- 7 + 10 z > - 27$
180693	Simplify	(66c+99d)*1/3	$(66 c + 99 d) \cdot \frac{1}{3}$
180694	Graph	f(x)=-1/3 square root of x	$f (x) = - \frac{1}{3} \sqrt{x}$
180695	Solve for x	14/x=(2x)/7	$\frac{14}{x} = \frac{2 x}{7}$
180696	Simplify	8(2x-5)-3(x+16)+5	$8 (2 x - 5) - 3 (x + 16) + 5$
180697	Solve for x	4/10x-2x+8/5=4/5	$\frac{4}{10} x - 2 x + \frac{8}{5} = \frac{4}{5}$
180698	Solve the System of Inequalities	9x+4<=58 or 1/6x-2>3	$9 x + 4 \leq 58$ or $\frac{1}{6} x - 2 > 3$
180699	Simplify	-10^-2	$- 10^{- 2}$
180700	Find the Domain and Range	y = square root of -x+3-4	$y = \sqrt{- x + 3} - 4$