Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
203101	Solve for x	-1/4x=5/2	$- \frac{1}{4} x = \frac{5}{2}$
203102	Graph	x/2+y/3>1	$\frac{x}{2} + \frac{y}{3} > 1$
203103	Evaluate	e^(ipi)+1	$e^{i π} + 1$
203104	Simplify	3/5y+(-6/5y)	$\frac{3}{5} y + (- \frac{6}{5} y)$
203105	Solve by Substitution	1/2x+y=-4 y=2x+16	$\frac{1}{2} x + y = - 4$ $y = 2 x + 16$
203106	Simplify the Radical Expression	-6 square root of 150r	$- 6 \sqrt{150 r}$
203107	Solve for m	L=5mn^2	$L = 5 m n^{2}$
203108	Simplify	y square root of x^3y-7 square root of x^3y^3+2x square root of xy^3	$y \sqrt{x^{3} y} - 7 \sqrt{x^{3} y^{3}} + 2 x \sqrt{x y^{3}}$
203109	Graph	f(x)=2^(-x+3)+7	$f (x) = 2^{- x + 3} + 7$
203110	Solve for x	(1/25)^(33x+105)=5^(3x^2-15x)	${(\frac{1}{25})}^{33 x + 105} = 5^{3 x^{2} - 15 x}$
203111	Find the Quadratic Equation Given the Roots	0 , -3 , square root of 2	$0$ , $- 3$ , $\sqrt{2}$
203112	Solve for r	12=pir^2h	$12 = π r^{2} h$
203113	Solve for x	2 1/4=1 2/7÷x	$2 \frac{1}{4} = 1 \frac{2}{7} \div x$
203114	Solve for f	7.4f=10f-7.8	$7.4 f = 10 f - 7.8$
203115	Solve for x	2 3/4x=33/2	$2 \frac{3}{4} x = \frac{33}{2}$
203116	Convert to Rectangular	(1+ square root of 3i)^4	${(1 + \sqrt{3 i})}^{4}$
203117	Simplify	6x^5(2x^6+4x^5-7x^3+3x)	$6 x^{5} (2 x^{6} + 4 x^{5} - 7 x^{3} + 3 x)$
203118	Simplify	3 fourth root of 18a^9* fourth root of 6ab^2	$3 \sqrt[4]{18 a^{9}} \cdot \sqrt[4]{6 a b^{2}}$
203119	Solve for x	cos(2x)=sin(x)+1	$\cos (2 x) = \sin (x) + 1$
203120	Solve the Inequality for x	x-5>2x+3	$x - 5 > 2 x + 3$
203121	Find the Domain and Range	y=(3x-2)/x	$y = \frac{3 x - 2}{x}$
203122	Solve the Inequality for y	8y-3(y-2)>2y+4(2y+4)	$8 y - 3 (y - 2) > 2 y + 4 (2 y + 4)$
203123	Simplify	((-2d^11f^5)/(4d^-2f^2))^2	${(\frac{- 2 d^{11} f^{5}}{4 d^{- 2} f^{2}})}^{2}$
203124	Solve for x	5-7^(x+1)=3	$5 - 7^{x + 1} = 3$
203125	Simplify	square root of 72*0.2	$\sqrt{72} \cdot 0.2$
203126	Simplify	((6bc^3)(3b^5c^2))/((5b^5c^2)(2b^3c^6))	$\frac{(6 b c^{3}) (3 b^{5} c^{2})}{(5 b^{5} c^{2}) (2 b^{3} c^{6})}$
203127	Solve for m	5m-4=m+4+m+4	$5 m - 4 = m + 4 + m + 4$
203128	Solve for w	9(w-9)-2=-7+7(w-8)	$9 (w - 9) - 2 = - 7 + 7 (w - 8)$
203129	Solve for x	1/x+5=1/(2x)	$\frac{1}{x} + 5 = \frac{1}{2 x}$
203130	Simplify	cube root of 3^2* cube root of 3	$\sqrt[3]{3^{2}} \cdot \sqrt[3]{3}$
203131	Simplify	((8x^2y^3)/(24x^3y^2))^4	${(\frac{8 x^{2} y^{3}}{24 x^{3} y^{2}})}^{4}$
203132	Simplify	cube root of fourth root of 16	$\sqrt[3]{\sqrt[4]{16}}$
203133	Write the Fraction in Simplest Form	(5j^4)/((2j^4)^4)	$\frac{5 j^{4}}{{(2 j^{4})}^{4}}$
203134	Simplify	7^-27^57^-3	$7^{- 2} \cdot 7^{5} \cdot 7^{- 3}$
203135	Multiply	square root of 6* fourth root of 6	$\sqrt{6} \cdot \sqrt[4]{6}$
203136	Simplify	( fifth root of 28x^2)^3	${(\sqrt[5]{28 x^{2}})}^{3}$
203137	Simplify	((x+y)/(x-y))÷(4/(y-x))	$\frac{x + y}{x - y} \div \frac{4}{y - x}$
203138	Solve for d	d(d+3)-d(d-4)=9d-16	$d (d + 3) - d (d - 4) = 9 d - 16$
203139	Graph	y<-4+x	$y < - 4 + x$
203140	Solve for j	8(3j+8)+7=-10+1+8j	$8 (3 j + 8) + 7 = - 10 + 1 + 8 j$
203141	Simplify	(10x^2-50x-140)/(2x^3-26x^2+84x)	$\frac{10 x^{2} - 50 x - 140}{2 x^{3} - 26 x^{2} + 84 x}$
203142	Find the Product	(6xy-9z)(6xy+9z)	$(6 x y - 9 z) (6 x y + 9 z)$
203143	Graph	y<-1/2x+4y	$y < - \frac{1}{2} x + 4 y$
203144	Simplify	((2^7)/2)^-4	${(\frac{2^{7}}{2})}^{- 4}$
203145	Simplify	(x^10)^(1/5)+(x^4)^(1/2)	${(x^{10})}^{\frac{1}{5}} + {(x^{4})}^{\frac{1}{2}}$
203146	Solve for x	4x^3=324	$4 x^{3} = 324$
203147	Solve for v	3(3+3v)=-2(9-3v)	$3 (3 + 3 v) = - 2 (9 - 3 v)$
203148	Solve for x	8(2^x)=7^(5-3x)	$8 (2^{x}) = 7^{5 - 3 x}$
203149	Simplify	(6^(2/3))^(3/4)	${(6^{\frac{2}{3}})}^{\frac{3}{4}}$
203150	Simplify	square root of 0.32*(2 square root of 800-3 square root of 1800)	$\sqrt{0.32} \cdot (2 \sqrt{800} - 3 \sqrt{1800})$
203151	Evaluate the Function	g(-1)=x/( square root of 1-x^2)	$g (- 1) = \frac{x}{\sqrt{1 - x^{2}}}$
203152	Simplify	(10a^4b^6)(3a^5b^2)-7a^9b^8	$(10 a^{4} b^{6}) (3 a^{5} b^{2}) - 7 a^{9} b^{8}$
203153	Simplify	sec(pi/2-x)^2(sin(x)^2-sin(x)^4)	$\sec^{2} (\frac{π}{2} - x) (\sin^{2} (x) - \sin^{4} (x))$
203154	Simplify	(a+2b+3c)-(4a+6b-5c)	$(a + 2 b + 3 c) - (4 a + 6 b - 5 c)$
203155	Simplify	(x^3+2x^2-4)+(3x^2+6)	$(x^{3} + 2 x^{2} - 4) + (3 x^{2} + 6)$
203156	Simplify the Radical Expression	(3 square root of 2)^2	${(3 \sqrt{2})}^{2}$
203157	Simplify	(-12x^5y^-2)/(8x^-3y)	$\frac{- 12 x^{5} y^{- 2}}{8 x^{- 3} y}$
203158	Solve the System of Equations	2x+y=4 -4x-2y=-8	$2 x + y = 4$ $- 4 x - 2 y = - 8$
203159	Solve the Inequality for P	2P-3>P+6	$2 P - 3 > P + 6$
203160	Solve for x	x3/2=64	$x \frac{3}{2} = 64$
203161	Evaluate	x/3-1/4=1/3-x/4	$\frac{x}{3} - \frac{1}{4} = \frac{1}{3} - \frac{x}{4}$
203162	Find the x and y Intercepts	f(x)=-4 square root of x+5+6	$f (x) = - 4 \sqrt{x + 5} + 6$
203163	Expand Using the Binomial Theorem	(3-1/2)^4	${(3 - \frac{1}{2})}^{4}$
203164	Find the Roots (Zeros)	square root of 4x+5- square root of x-1 = square root of x+4	$\sqrt{4 x + 5} - \sqrt{x - 1} = \sqrt{x + 4}$
203165	Simplify the Radical Expression	2 cube root of 16+5 cube root of 54- cube root of 250+1/2 cube root of 128	$2 \sqrt[3]{16} + 5 \sqrt[3]{54} - \sqrt[3]{250} + \frac{1}{2} \sqrt[3]{128}$
203166	Simplify	((3x+6y)/(x^2-y^2))÷((5x+10y)/(x^2-2xy+y^2))	$\frac{3 x + 6 y}{x^{2} - y^{2}} \div \frac{5 x + 10 y}{x^{2} - 2 x y + y^{2}}$
203167	Solve for d	square root of 2d-1=5	$\sqrt{2 d - 1} = 5$
203168	Simplify	(-2a^2b)*(7a^3b)	$(- 2 a^{2} b) \cdot (7 a^{3} b)$
203169	Factor	-5(2x-6)+25x	$- 5 (2 x - 6) + 25 x$
203170	Divide Using Long Polynomial Division	(2x^4+6x-5)÷(x^2+4)	$(2 x^{4} + 6 x - 5) \div (x^{2} + 4)$
203171	Solve for x	y+17=3(x+6)-14	$y + 17 = 3 (x + 6) - 14$
203172	Solve for x	10-2x+9x=8+7x+1	$10 - 2 x + 9 x = 8 + 7 x + 1$
203173	Simplify	((m^2+m-mn-n)/(m^2+m+mn+n))÷((m^2-m-mn+n)/(m^2-m+mn-n))	$\frac{m^{2} + m - m n - n}{m^{2} + m + m n + n} \div \frac{m^{2} - m - m n + n}{m^{2} - m + m n - n}$
203174	Simplify	(6*6^-6)^5	${(6 \cdot 6^{- 6})}^{5}$
203175	Write in Standard Form	x^2-3+2x^5+7x^4-12x	$x^{2} - 3 + 2 x^{5} + 7 x^{4} - 12 x$
203176	Simplify	( square root of 6)÷( square root of 2)	$\sqrt{6} \div \sqrt{2}$
203177	Solve for x	7^(x+1)=3^(2x+2)	$7^{x + 1} = 3^{2 x + 2}$
203178	Factor	A(x)=660x^2+524x+85	$A (x) = 660 x^{2} + 524 x + 85$
203179	Evaluate	(5 1/3-4 1/3)÷(4-3 1/2)	$(5 \frac{1}{3} - 4 \frac{1}{3}) \div (4 - 3 \frac{1}{2})$
203180	Simplify	1+cot(x)^2-cos(x)^2-cos(x)^2cot(x)^2	$1 + \cot^{2} (x) - \cos^{2} (x) - \cos^{2} (x) \cot^{2} (x)$
203181	Solve for x	-3/(x-1)+5/(x-3)=-1/(x^2-4x+3)	$- \frac{3}{x - 1} + \frac{5}{x - 3} = - \frac{1}{x^{2} - 4 x + 3}$
203182	Simplify	(7x^6+2x^5-3x^2+9x)+(5x^5+8x^3-6x^2+2x-5)	$(7 x^{6} + 2 x^{5} - 3 x^{2} + 9 x) + (5 x^{5} + 8 x^{3} - 6 x^{2} + 2 x - 5)$
203183	Solve by Substitution	y=2x-11 -3y=-6x-15	$y = 2 x - 11$ $- 3 y = - 6 x - 15$
203184	Evaluate Using the Given Value	1/2a^-4b^2 for a=-2 and b=4	$\frac{1}{2} a^{- 4} b^{2}$ for $a = - 2$ and $b = 4$
203185	Solve the Inequality for x	\|(x^2-1)/2\|>=1	$\| \frac{x^{2} - 1}{2} \| \geq 1$
203186	Solve for f	-12f+18=-8f+9+9	$- 12 f + 18 = - 8 f + 9 + 9$
203187	Solve for n	t(n)=5n-3	$t (n) = 5 n - 3$
203188	Solve for x	4^(3x+1)=4^2	$4^{3 x + 1} = 4^{2}$
203189	Simplify	((6ab^0)/(2a^4b))^3	${(\frac{6 a b^{0}}{2 a^{4} b})}^{3}$
203190	Simplify	square root of -18/36	$\sqrt{\frac{- 18}{36}}$
203191	Simplify the Radical Expression	(6^(1/2)*4^(1/3))^2	${(6^{\frac{1}{2}} \cdot 4^{\frac{1}{3}})}^{2}$
203192	Solve the Inequality for t	-4<3t+5<=20	$- 4 < 3 t + 5 \leq 20$
203193	Solve for v	32 = cube root of (3v)/(4pi)	$32 = \sqrt[3]{\frac{3 v}{4 π}}$
203194	Simplify	(5a^2+5-a)+(6-2a+4a^4)	$(5 a^{2} + 5 - a) + (6 - 2 a + 4 a^{4})$
203195	Simplify	a(a^2b+b^3c)	$a (a^{2} b + b^{3} c)$
203196	Find the Roots (Zeros)	y=2sin(x)	$y = 2 \sin (x)$
203197	Solve for θ	tan(theta)=cot(theta)	$\tan (θ) = \cot (θ)$
203198	Solve for x	1 2/7+2 1/3x+3/14+x=9	$1 \frac{2}{7} + 2 \frac{1}{3} x + \frac{3}{14} + x = 9$
203199	Evaluate	square root of 2x-3=x-3	$\sqrt{2 x - 3} = x - 3$
203200	Simplify	3/(a+b)-5/(a+b)	$\frac{3}{(a + b)} - \frac{5}{(a + b)}$