Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
210101	Graph	f(x)=3x+3 g(x)=x^2+4x+4	$f (x) = 3 x + 3$ $g (x) = x^{2} + 4 x + 4$
210102	Simplify	(4x^3y^-3)/(2x^3x^-1y^2)	$\frac{4 x^{3} y^{- 3}}{2 x^{3} x^{- 1} y^{2}}$
210103	Solve for x	(2x+3)/3=6/(x-1)	$\frac{2 x + 3}{3} = \frac{6}{x - 1}$
210104	Simplify	i^13i^29i^6	$i^{13} \cdot i^{29} \cdot i^{6}$
210105	Multiply	(a^3+a^2b)/(5a)*25/(3b+3a)	$\frac{a^{3} + a^{2} b}{5 a} \cdot \frac{25}{3 b + 3 a}$
210106	Simplify	(4x)/(x^2+3x)-5/(x+3)	$\frac{4 x}{x^{2} + 3 x} - \frac{5}{x + 3}$
210107	Solve the Inequality for h	4(3h-7)<=20(h-1)	$4 (3 h - 7) \leq 20 (h - 1)$
210108	Describe the Transformation	y=-3^x-2	$y = - 3^{x} - 2$
210109	Solve by Completing the Square	1=x^2-6x	$1 = x^{2} - 6 x$
210110	Subtract	4 1/2-3 5/6	$4 \frac{1}{2} - 3 \frac{5}{6}$
210111	Solve for a	a=3500(1+(-0.24))^9.5	$a = 3500 {(1 + (- 0.24))}^{9.5}$
210112	Solve for x	(3x-8)/(5x)+(3x+4)/x=3	$\frac{3 x - 8}{5 x} + \frac{3 x + 4}{x} = 3$
210113	Simplify	((12^5)/(12^-5))^0	${(\frac{12^{5}}{12^{- 5}})}^{0}$
210114	Solve for r	V=(2pir)/t	$V = \frac{2 π r}{t}$
210115	Evaluate	(4x)/(9x^(1/2))	$\frac{4 x}{9 x^{\frac{1}{2}}}$
210116	Simplify	(4x^3*2x^4y^10)/(50x^9y^4)	$\frac{4 x^{3} \cdot 2 x^{4} y^{10}}{50 x^{9} y^{4}}$
210117	Solve for g	b=(tr-g)/r	$b = \frac{t r - g}{r}$
210118	Solve the Inequality for g	6(-6g+6)>-2(19g-17)	$6 (- 6 g + 6) > - 2 (19 g - 17)$
210119	Simplify	square root of 25x^9* cube root of 27x^4	$\sqrt{25 x^{9}} \cdot \sqrt[3]{27 x^{4}}$
210120	Solve for D	C=1-5/2D	$C = 1 - \frac{5}{2} D$
210121	Simplify	(6 square root of 10)/(8 square root of 6)	$\frac{6 \sqrt{10}}{8 \sqrt{6}}$
210122	Find the Exact Value	4x-6+x+3	$4 x - 6 + x + 3$
210123	Divide Using Synthetic Division	(9x^4-3x^3-20x^2+24x+32)÷(3x+4)	$(9 x^{4} - 3 x^{3} - 20 x^{2} + 24 x + 32) \div (3 x + 4)$
210124	Find the x and y Intercepts	y=5(1/2)^x-3	$y = 5 {(\frac{1}{2})}^{x} - 3$
210125	Simplify	5a32b	$5 a \cdot 3 \cdot 2 b$
210126	Simplify	(-1)^(1/2)	${(- 1)}^{\frac{1}{2}}$
210127	Solve the Inequality for p	4p<32	$4 p < 32$
210128	Solve the Inequality for x	-7\|x+12\|<=-14	$- 7 \| x + 12 \| \leq - 14$
210129	Simplify	square root of 3* fifth root of 3^2	$\sqrt{3} \cdot \sqrt[5]{3^{2}}$
210130	Simplify	cube root of fifth root of 6	$\sqrt[3]{\sqrt[5]{6}}$
210131	Find All Complex Solutions	2^(x+3)+2^x=72	$2^{x + 3} + 2^{x} = 72$
210132	Factor	2x^2y-4xy+6xy^2	$2 x^{2} y - 4 x y + 6 x y^{2}$
210133	Solve for x	ax+2c=bx+3d	$a x + 2 c = b x + 3 d$
210134	Multiply	5a2a(a^3-3a^2+a)	$5 a \cdot 2 a \cdot (a^{3} - 3 a^{2} + a)$
210135	Determine if (-1,-4) is a Solution	x+y<=-3 , (-1,-4)	$x + y \leq - 3$ , $(- 1, - 4)$
210136	Evaluate	3(x-6)=100+x	$3 (x - 6) = 100 + x$
210137	Convert to Radical Form	x^(3/6)	$x^{\frac{3}{6}}$
210138	Evaluate	1000000(1+0.07)^1	$1000000 {(1 + 0.07)}^{1}$
210139	Simplify	((c^-2)^3d^4)/(d^-2)	$\frac{{(c^{- 2})}^{3} d^{4}}{d^{- 2}}$
210140	Solve for x	(5x-2)/(3x)=7	$\frac{5 x - 2}{3 x} = 7$
210141	Graph	7x-9y<5 -2x+4y>5	$7 x - 9 y < 5$ $- 2 x + 4 y > 5$
210142	Solve for k	10k^2-10k+2=-K	$10 k^{2} - 10 k + 2 = - K$
210143	Simplify the Radical Expression	(x^16y^20z^8)^(1/4)	${(x^{16} y^{20} z^{8})}^{\frac{1}{4}}$
210144	Find the Roots (Zeros)	(2x^2+5x-12)/(x+4)	$\frac{2 x^{2} + 5 x - 12}{x + 4}$
210145	Solve for w	w^2=-18w	$w^{2} = - 18 w$
210146	Write in Standard Form	(-9x^2-2x)-(-9x^2-3x)	$(- 9 x^{2} - 2 x) - (- 9 x^{2} - 3 x)$
210147	Graph	y=\|cos(pix)\|	$y = \| \cos (π x) \|$
210148	Solve the System of Equations	x^2+y^2=10 y=2x-5	$x^{2} + y^{2} = 10$ $y = 2 x - 5$
210149	Graph Using a Table of Values	Y=2x^2+1	$Y = 2 x^{2} + 1$
210150	Solve for x	natural log of 3+ natural log of 4x=4	$\ln (3) + \ln (4 x) = 4$
210151	Solve for x	(x-12)÷6=12	$(x - 12) \div 6 = 12$
210152	Solve for x	-(2x+2)-1=-x-(x+3)	$- (2 x + 2) - 1 = - x - (x + 3)$
210153	Simplify	(5x^(1/2))/(4x^(2/3))	$\frac{5 x^{\frac{1}{2}}}{4 x^{\frac{2}{3}}}$
210154	Divide	((x^2-16)/(x-2))÷((x^2+3x-4)/(x-8))	$\frac{x^{2} - 16}{x - 2} \div \frac{x^{2} + 3 x - 4}{x - 8}$
210155	Find the LCD	3/(2x+10) and 1/(6x)	$\frac{3}{2 x + 10}$ and $\frac{1}{6 x}$
210156	Combine Like Terms	10x+5y-6x-2y	$10 x + 5 y - 6 x - 2 y$
210157	Solve the Inequality for x	3x+8>=4x	$3 x + 8 \geq 4 x$
210158	Solve for P	A-P=Prt	$A - P = P r t$
210159	Multiply	-6i*(6-2i)	$- 6 i \cdot (6 - 2 i)$
210160	Solve the Inequality for x	5.3>x+2/5	$5.3 > x + \frac{2}{5}$
210161	Evaluate	4(5)^4+24(5)^(1/3)	$4 {(5)}^{4} + 24 {(5)}^{\frac{1}{3}}$
210162	Solve the Inequality for d	-2<=(2d-2)/4<3	$- 2 \leq \frac{2 d - 2}{4} < 3$
210163	Evaluate	square root of x+2=5	$\sqrt{x + 2} = 5$
210164	Evaluate Using the Given Value	Evaluate 2/5g+3h-6 when g=10 and h=6	Evaluate $\frac{2}{5} g + 3 h - 6$ when $g = 10$ and $h = 6$
210165	Write the Fraction in Simplest Form	((-2s^3)^4)/(5s^-1)	$\frac{{(- 2 s^{3})}^{4}}{5 s^{- 1}}$
210166	Evaluate	(3^-2x^-5)/(y^0)	$\frac{3^{- 2} x^{- 5}}{y^{0}}$
210167	Simplify	(3ab)(2a^3b)	$(3 a b) (2 a^{3} b)$
210168	Graph	x-y=6 4x+y=4	$x - y = 6$ $4 x + y = 4$
210169	Simplify	3/(y^2+y-12)-2/(y^2+6y+8)	$\frac{3}{y^{2} + y - 12} - \frac{2}{y^{2} + 6 y + 8}$
210170	Evaluate	3(cos(pi)+isin(pi))	$3 (\cos (π) + i \sin (π))$
210171	Simplify	(1/(9^(3/2)))	$(\frac{1}{9^{\frac{3}{2}}})$
210172	Simplify	(-3a^2b^4)(4a^6n)	$(- 3 a^{2} b^{4}) (4 a^{6} n)$
210173	Rationalize the Denominator	-8/(-6- square root of 7)	$\frac{- 8}{- 6 - \sqrt{7}}$
210174	Find the Domain and Range	y=tan(x-pi)	$y = \tan (x - π)$
210175	Simplify	(39t^4uv^-2)/(13t^-3u^7)	$\frac{39 t^{4} u v^{- 2}}{13 t^{- 3} u^{7}}$
210176	Evaluate	(-12)(0.5)+(-4(2+8))/-5	$(- 12) (0.5) + \frac{- 4 (2 + 8)}{- 5}$
210177	Evaluate	(3x^-3y^2x^-4y^-4)/(3xy^23yx^-1)	$\frac{3 x^{- 3} y^{2} \cdot x^{- 4} y^{- 4}}{3 x y^{2} \cdot 3 y x^{- 1}}$
210178	Simplify	(5x^2y)(-3x^2)+(4x)(4x^3y)	$(5 x^{2} y) (- 3 x^{2}) + (4 x) (4 x^{3} y)$
210179	Simplify	(2xy^2)(x^2-5x+3y)	$(2 x y^{2}) (x^{2} - 5 x + 3 y)$
210180	Solve for x	5^x=5^(x+2)	$5^{x} = 5^{x + 2}$
210181	Simplify	(6x^2+30x+36)÷(x+3)	$(6 x^{2} + 30 x + 36) \div (x + 3)$
210182	Simplify	(5 square root of 2+4)(5 square root of 2-4)	$(5 \sqrt{2 + 4}) (5 \sqrt{2 - 4})$
210183	Simplify	(5x^2y^5z^7)^0	${(5 x^{2} y^{5} z^{7})}^{0}$
210184	Solve for a	square root of 5a+1+2=6	$\sqrt{5 a + 1} + 2 = 6$
210185	Solve for x	6(2x-1)-(x-4)=-2(3x+1)	$6 (2 x - 1) - (x - 4) = - 2 (3 x + 1)$
210186	Solve for x	-1/5+5/(6x)=-1/(4x)	$- \frac{1}{5} + \frac{5}{6 x} = - \frac{1}{4 x}$
210187	Solve for x	log base 4 of x<4	$\log_{4} (x) < 4$
210188	Write as a Single Logarithm	2( log of 2x+ log of y)-( log of 3+2 log of 5)	$2 (\log (2 x) + \log (y)) - (\log (3) + 2 \log (5))$
210189	Find All Complex Solutions	-2y^2+4y+1=-6y^2	$- 2 y^{2} + 4 y + 1 = - 6 y^{2}$
210190	Find the Complex Conjugate	(5i-8)	$(5 i - 8)$
210191	Simplify	(x-2)/( square root of x^2-4)	$\frac{x - 2}{\sqrt{x^{2} - 4}}$
210192	Expand the Logarithmic Expression	log of (x^5)/( square root of zy)	$\log (\frac{x^{5}}{\sqrt{z y}})$
210193	Solve for x	log base 4 of 5x+2=5x	$\log_{4} (5 x + 2) = 5 x$
210194	Simplify	(-1/(2a^-2))^-3	${(- \frac{1}{2 a^{- 2}})}^{- 3}$
210195	Find the Domain and Range	y=csc(1/2x)	$y = \csc (\frac{1}{2} x)$
210196	Solve for x	y=5x-7 , y=-22	$y = 5 x - 7$ , $y = - 22$
210197	Simplify	6^-1(4^-2)	$6^{- 1} (4^{- 2})$
210198	Solve for b	b=-1-7*6	$b = - 1 - 7 \cdot 6$
210199	Write in Standard Form	7c(c^3-2c^2+5)	$7 c (c^{3} - 2 c^{2} + 5)$
210200	Evaluate	18+(6-2)^2*3	$18 + {(6 - 2)}^{2} \times 3$