Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
235001	Solve Using the Quadratic Formula	What is the solution to the equation 3x^2-6x+4=0 ?	What is the solution to the equation $3 x^{2} - 6 x + 4 = 0$ ?
235002	Factor	5a^2c-3a^2d+5b^2c-3b^2d	$5 a^{2} c - 3 a^{2} d + 5 b^{2} c - 3 b^{2} d$
235003	Factor	8b^2m^2+24b^2mn+18b^2n^2	$8 b^{2} m^{2} + 24 b^{2} m n + 18 b^{2} n^{2}$
235004	Solve the System of Inequalities	5x+2>=27 and 4x-3<=17	$5 x + 2 \geq 27$ and $4 x - 3 \leq 17$
235005	Simplify	(m^(2/3)n)/(m^2n^(1/2))	$\frac{m^{\frac{2}{3}} n}{m^{2} n^{\frac{1}{2}}}$
235006	Graph	x+y^2=4y-1	$x + y^{2} = 4 y - 1$
235007	Simplify	((10x)/(25x^3y^2))÷((32x^7y^4)/(20x^9y^9))	$\frac{10 x}{25 x^{3} y^{2}} \div \frac{32 x^{7} y^{4}}{20 x^{9} y^{9}}$
235008	Find the Complex Conjugate	-7/5+8/5i	$- \frac{7}{5} + \frac{8}{5} i$
235009	Evaluate	(5^2(5^7))÷(5^5)	$5^{2} (5^{7}) \div 5^{5}$
235010	Find g(f(x))	f(x)=2x^2+x-3 and g(x)=x-1	$f (x) = 2 x^{2} + x - 3$ and $g (x) = x - 1$
235011	Solve the System of Inequalities	-3b+5>8 or b-4>=0	$- 3 b + 5 > 8$ or $b - 4 \geq 0$
235012	Evaluate	T=2pi square root of l/g	$T = 2 π \sqrt{\frac{l}{g}}$
235013	Simplify	(2x^4y^2yx^-3)/((2x^2y^2yx^-1)^-3)	$\frac{2 x^{4} y^{2} \cdot y x^{- 3}}{{(2 x^{2} y^{2} \cdot y x^{- 1})}^{- 3}}$
235014	Simplify	1/(i^-10)	$\frac{1}{i^{- 10}}$
235015	Graph	y=x^2a	$y = x^{2} a$
235016	Solve the System of Equations	x-y=-1 and -5x+3y=-15	$x - y = - 1$ and $- 5 x + 3 y = - 15$
235017	Find the Slope and y-intercept	y-3/5x=-1	$y - \frac{3}{5} x = - 1$
235018	Simplify	(-3+7xy)-(2+4xy)-(12x+14xy)	$(- 3 + 7 x y) - (2 + 4 x y) - (12 x + 14 x y)$
235019	Evaluate	( square root of -0.1+1-1)/-0.1	$\frac{\sqrt{- 0.1 + 1} - 1}{- 0.1}$
235020	Solve for x	5/3x=2x-2/3x+2	$\frac{5}{3} x = 2 x - \frac{2}{3} x + 2$
235021	Solve the Absolute Value Inequality for b	2\|10b+7\|-1>73	$2 \| 10 b + 7 \| - 1 > 73$
235022	Multiply	(2+(x-1))(2-(x-1))	$(2 + (x - 1)) (2 - (x - 1))$
235023	Convert to Interval Notation	a/-2<-1 or -4a+3>=23	$\frac{a}{- 2} < - 1$ or $- 4 a + 3 \geq 23$
235024	Evaluate	7x-3y>10	$7 x - 3 y > 10$
235025	Divide Using Long Polynomial Division	Use the long division method to find the result when 12x^3+27x^2+23x+10 is divided by 4x+5	Use the long division method to find the result when $12 x^{3} + 27 x^{2} + 23 x + 10$ is divided by $4 x + 5$
235026	Find the LCM	x+6 , 5x+7	$x + 6$ , $5 x + 7$
235027	Solve for x	(3x+2)/(x-1)+(2x-4)/(x+2)=5	$\frac{3 x + 2}{x - 1} + \frac{2 x - 4}{x + 2} = 5$
235028	Evaluate	-1/(3/2)	$- \frac{1}{\frac{3}{2}}$
235029	Solve for x	(x^2+4x+11)^(3/2)+1=0	${(x^{2} + 4 x + 11)}^{\frac{3}{2}} + 1 = 0$
235030	Find the Complex Conjugate	(5+3i)/(4-2i)	$\frac{5 + 3 i}{4 - 2 i}$
235031	Find the x and y Intercepts	x/4-y/3=1	$\frac{x}{4} - \frac{y}{3} = 1$
235032	Solve for k	k+11=-3k-25+2k	$k + 11 = - 3 k - 25 + 2 k$
235033	Graph	f(x)=x^2(x+4)(3x-6)^2	$f (x) = x^{2} (x + 4) {(3 x - 6)}^{2}$
235034	Simplify	2xy^2(27y^-9)^(2/3)	$2 x y^{2} {(27 y^{- 9})}^{\frac{2}{3}}$
235035	Simplify	7/16 square root of 64/7	$\frac{7}{16} \sqrt{\frac{64}{7}}$
235036	Expand Using the Binomial Theorem	(1/(x^3)-2x)^16	${(\frac{1}{x^{3}} - 2 x)}^{16}$
235037	Graph	y>-1/x	$y > - \frac{1}{x}$
235038	Solve the Rational Equation for x	(5^(x/3))(5^(x/4))=5^5	$(5^{\frac{x}{3}}) (5^{\frac{x}{4}}) = 5^{5}$
235039	Solve for C	2/3(B+C)=A	$\frac{2}{3} (B + C) = A$
235040	Simplify	2/3(27x-45)-(4x-9)	$\frac{2}{3} (27 x - 45) - (4 x - 9)$
235041	Graph	y=-6x-2 y+2=-6x	$y = - 6 x - 2$ $y + 2 = - 6 x$
235042	Find the x and y Intercepts	(2x-8)^(2/3)	${(2 x - 8)}^{\frac{2}{3}}$
235043	Convert to Rectangular	x=1/2cos(theta) and y=1/3sin(theta)	$x = \frac{1}{2} \cos (θ)$ and $y = \frac{1}{3} \sin (θ)$
235044	Write in Standard Form	x+y-2=0	$x + y - 2 = 0$
235045	Solve the Inequality for x	(x-2)/(x-1)>=0	$\frac{x - 2}{x - 1} \geq 0$
235046	Find the Next Term	7/2 , 9/4 , 1 , -1/4 , -3/2	$\frac{7}{2}$ , $\frac{9}{4}$ , $1$ , $- \frac{1}{4}$ , $- \frac{3}{2}$
235047	Simplify	(6^(1/2))^6	${(6^{\frac{1}{2}})}^{6}$
235048	Graph Using a Table of Values	y=-2(1/4)^(x-3)	$y = - 2 {(\frac{1}{4})}^{x - 3}$
235049	Find the LCM	21 and 7	$21$ and $7$
235050	Simplify	3/((3a)^-3)	$\frac{3}{{(3 a)}^{- 3}}$
235051	Describe the Transformation	y=(x+2)^2+3	$y = {(x + 2)}^{2} + 3$
235052	Evaluate Using the Given Value	Evaluate 9/m+4 when m=3	Evaluate $\frac{9}{m} + 4$ when $m = 3$
235053	Evaluate	e^x=3/4	$e^{x} = \frac{3}{4}$
235054	Simplify	(3xy)(xy)	$(3 x y) (x y)$
235055	Graph	f(x)=3+0.5x if 0<=x<=10; -12+2x if x>10	$f (x) = {\begin{cases} 3 + 0.5 x & 0 \leq x \leq 10 \\ - 12 + 2 x & x > 10 \end{cases}$
235056	Simplify	k(k^4)	$k (k^{4})$
235057	Graph	sin(theta)<0 , sec(theta)<0	$\sin (θ) < 0$ , $\sec (θ) < 0$
235058	Evaluate	83% of 408	$83 %$ of $408$
235059	Solve for θ	sin(theta)^2=1	$\sin^{2} (θ) = 1$
235060	Find the Quotient	x^5-1024 is divided by x-4	$x^{5} - 1024$ is divided by $x - 4$
235061	Rationalize the Denominator	2/(- square root of 2)	$\frac{2}{- \sqrt{2}}$
235062	Simplify	2/(x+3)+(x+3)/(8x-1)	$\frac{2}{x + 3} + \frac{x + 3}{8 x - 1}$
235063	Simplify	((yx^-3*2x^0y^3)/(2xy^3))^2	${(\frac{y x^{- 3} \cdot 2 x^{0} y^{3}}{2 x y^{3}})}^{2}$
235064	Find the Exact Value	tan(810 degrees )	$\tan (810 °)$
235065	Solve for m	-17+ square root of m+7=-13	$- 17 + \sqrt{m + 7} = - 13$
235066	Graph	3x-6<=24 or 30<=3x-6	$3 x - 6 \leq 24$ or $30 \leq 3 x - 6$
235067	Subtract	(22w+11)/(8w^2-6w)-3/(2w)	$\frac{22 w + 11}{8 w^{2} - 6 w} - \frac{3}{2 w}$
235068	Write in Standard Form	y=(-3x)^2-3(x-3)^2	$y = {(- 3 x)}^{2} - 3 {(x - 3)}^{2}$
235069	Simplify	((x+2)^-9)/((x+2)^-5)	$\frac{{(x + 2)}^{- 9}}{{(x + 2)}^{- 5}}$
235070	Simplify	fifth root of (8x^3)/(y^4) fifth root of (4x^4)/(y^2)	$\sqrt[5]{\frac{8 x^{3}}{y^{4}}} \sqrt[5]{\frac{4 x^{4}}{y^{2}}}$
235071	Divide	(3/4)÷7 1/2	$\frac{3}{4} \div 7 \frac{1}{2}$
235072	Solve the Inequality for x	(x^2+x-6)/(x-7)>=0	$\frac{x^{2} + x - 6}{x - 7} \geq 0$
235073	Solve for X	X/(X+2)+7/(X-5)=14/(X^2-3X-10)	$\frac{X}{X + 2} + \frac{7}{X - 5} = \frac{14}{X^{2} - 3 X - 10}$
235074	Solve for x	x=2x^2	$x = 2 x^{2}$
235075	Find the Exact Value	- cube root of 64	$- \sqrt[3]{64}$
235076	Simplify	20-(4*2)÷(5-3)-2	$20 - (4 \cdot 2) \div (5 - 3) - 2$
235077	Find the Exact Value	log base 3 of 12- log base 3 of 28+ log base 3 of 63	$\log_{3} (12) - \log_{3} (28) + \log_{3} (63)$
235078	Solve for p	p-20%p=72	$p - 20 % p = 72$
235079	Solve for x	(tan(x)-1)(2sin(x)- square root of 3)=0	$(\tan (x) - 1) (2 \sin (x) - \sqrt{3}) = 0$
235080	Solve for x	5/(x-7)=1/(9+x)	$\frac{5}{x - 7} = \frac{1}{9 + x}$
235081	Write in Standard Form	(-2x^2+x-2)(x^2-5x+4)	$(- 2 x^{2} + x - 2) (x^{2} - 5 x + 4)$
235082	Evaluate	2^4(3*5^5+2^2)	$2^{4} (3 \times 5^{5} + 2^{2})$
235083	Simplify	cube root of x/(y^8)	$\sqrt[3]{\frac{x}{y^{8}}}$
235084	Find the Degree	5x^6y^6+3x^5y^2+4x^3y	$5 x^{6} y^{6} + 3 x^{5} y^{2} + 4 x^{3} y$
235085	Evaluate	-4*180/pi	$- 4 \cdot \frac{180}{π}$
235086	Solve for y	b/y=y/a	$\frac{b}{y} = \frac{y}{a}$
235087	Simplify	( square root of 8* fourth root of 8)÷(12 root of 8)	$\sqrt{8} \cdot \sqrt[4]{8} \div \sqrt[12]{8}$
235088	Evaluate	4x<=12	$4 x \leq 12$
235089	Simplify	( square root of 50)/3+ square root of 108+1/( square root of 2)	$\frac{\sqrt{50}}{3} + \sqrt{108} + \frac{1}{\sqrt{2}}$
235090	Solve the Inequality for x	(3x-4)/(x+2)>0	$\frac{3 x - 4}{x + 2} > 0$
235091	Factor	Factor: 2x^2-9x-11	Factor: $2 x^{2} - 9 x - 11$
235092	Solve for x	-2(6-x)+8=4-4(x+2)	$- 2 (6 - x) + 8 = 4 - 4 (x + 2)$
235093	Solve for c	(6(cx+6))/3=8x-10	$\frac{6 (c x + 6)}{3} = 8 x - 10$
235094	Graph	x+y>2 and x+y>-2	$x + y > 2$ and $x + y > - 2$
235095	Simplify	(-10n^4-9n^3-7n^5)+(13n^4-13n^5+13n^3)	$(- 10 n^{4} - 9 n^{3} - 7 n^{5}) + (13 n^{4} - 13 n^{5} + 13 n^{3})$
235096	Solve by Substitution	2x-2y=-8 and x+2y=-1	$2 x - 2 y = - 8$ and $x + 2 y = - 1$
235097	Evaluate	(b^(1/5))/b	$\frac{b^{\frac{1}{5}}}{b}$
235098	Find the x and y Intercepts	f(x)=4(2x+3)^2	$f (x) = 4 {(2 x + 3)}^{2}$
235099	Divide Using Long Polynomial Division	Use the long division method to find the result when x^3+7x^2+19x+21 is divided by x+3	Use the long division method to find the result when $x^{3} + 7 x^{2} + 19 x + 21$ is divided by $x + 3$
235100	Solve the Inequality for n	17>n+4	$17 > n + 4$