Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
199101	Solve for x	3x^2=-12-5x	$3 x^{2} = - 12 - 5 x$
199102	Solve for x	(3x)/2+1/6=(2x)/3-2/3	$\frac{3 x}{2} + \frac{1}{6} = \frac{2 x}{3} - \frac{2}{3}$
199103	Simplify	(3a^2bc^3)^3	${(3 a^{2} b c^{3})}^{3}$
199104	Solve for x	square root of x-2x+7=0	$\sqrt{x} - 2 x + 7 = 0$
199105	Simplify	(2+ square root of 5)(5- square root of 7)	$(2 + \sqrt{5}) (5 - \sqrt{7})$
199106	Simplify	(x^2)/(3ax-2-x+6a)-x/(3a-1)	$\frac{x^{2}}{3 a x - 2 - x + 6 a} - \frac{x}{3 a - 1}$
199107	Evaluate	(9 square root of 2)/( square root of 10+ square root of 18)	$\frac{9 \sqrt{2}}{\sqrt{10} + \sqrt{18}}$
199108	Solve for x	square root of (x-1)^2=1-x	$\sqrt{{(x - 1)}^{2}} = 1 - x$
199109	Solve for x	x/3-1/4=1/3-x/4	$\frac{x}{3} - \frac{1}{4} = \frac{1}{3} - \frac{x}{4}$
199110	Solve for c	9/5c+32=F	$\frac{9}{5} c + 32 = F$
199111	Evaluate	(1/3)÷(3/7)-3/5*1/2	$\frac{1}{3} \div \frac{3}{7} - \frac{3}{5} \cdot \frac{1}{2}$
199112	Rationalize the Denominator	( cube root of 9)/( cube root of 6)	$\frac{\sqrt[3]{9}}{\sqrt[3]{6}}$
199113	Simplify	fourth root of (m^10)/16	$\sqrt[4]{\frac{m^{10}}{16}}$
199114	Evaluate	(4((3-5)^2-2(5/2-6/4)^3)+6(8/12))- square root of 25	$(4 ({(3 - 5)}^{2} - 2 {(\frac{5}{2} - \frac{6}{4})}^{3}) + 6 (\frac{8}{12})) - \sqrt{25}$
199115	Simplify	square root of (a^4b^4)/(c^3)	$\sqrt{\frac{a^{4} b^{4}}{c^{3}}}$
199116	Solve for M	M/5+9=11	$\frac{M}{5} + 9 = 11$
199117	Simplify	(2sin(A)cos(A)-cos(A))/(1-sin(A)+sin(A)^2cos(A)^2)	$\frac{2 \sin (A) \cos (A) - \cos (A)}{1 - \sin (A) + \sin^{2} (A) \cos^{2} (A)}$
199118	Simplify	sin(theta)^2+sin(theta)^2*tan(theta)^2	$\sin^{2} (θ) + \sin^{2} (θ) \cdot \tan^{2} (θ)$
199119	Solve the Rational Equation for x	square root of x=10	$\sqrt{x} = 10$
199120	Factor	a^7b^2-ab^2	$a^{7} b^{2} - a b^{2}$
199121	Solve for x	4(x+6)-x=6(x-111)-2x+305	$4 (x + 6) - x = 6 (x - 111) - 2 x + 305$
199122	Solve for x	2x^2(x^2+1)=0	$2 x^{2} (x^{2} + 1) = 0$
199123	Multiply	square root of 5* cube root of 5	$\sqrt{5} \cdot \sqrt[3]{5}$
199124	Simplify	p(p^-7q^3)^-2q^-3	$p {(p^{- 7} q^{3})}^{- 2} q^{- 3}$
199125	Solve for x	1-(x-3)/2=(2-x)/3+4	$1 - \frac{x - 3}{2} = \frac{2 - x}{3} + 4$
199126	Solve for θ	-2sin(theta)^2+cos(theta)+1=0	$- 2 \sin^{2} (θ) + \cos (θ) + 1 = 0$
199127	Graph	x^2+(y-3 square root of 2x)^2=1	$x^{2} + {(y - 3 \sqrt{2 x})}^{2} = 1$
199128	Find the Product	(2x+3y+5)^2	${(2 x + 3 y + 5)}^{2}$
199129	Solve for F	s=3F-24	$s = 3 F - 24$
199130	Solve for x	6/19=(x-12)/(2x-2)	$\frac{6}{19} = \frac{x - 12}{2 x - 2}$
199131	Simplify	(1+(tan(theta)+1)/(tan(theta)))/(-1+(tan(theta)-1)/(tan(theta)))	$\frac{1 + \frac{\tan (θ) + 1}{\tan (θ)}}{- 1 + \frac{\tan (θ) - 1}{\tan (θ)}}$
199132	Factor	-3b(b-2)+7(b-2)^2	$- 3 b (b - 2) + 7 {(b - 2)}^{2}$
199133	Factor	b^6-3b^4-2b^2+6	$b^{6} - 3 b^{4} - 2 b^{2} + 6$
199134	Solve for x	9x^2-1-(3x-2)^2=0	$9 x^{2} - 1 - {(3 x - 2)}^{2} = 0$
199135	Evaluate	(10^0r^-11s)/(3^2)	$\frac{10^{0} r^{- 11} s}{3^{2}}$
199136	Simplify	4^05^-26^-1*100^01/(2^-1)	$4^{0} \cdot 5^{- 2} \cdot 6^{- 1} \cdot 100^{0} \frac{1}{2^{- 1}}$
199137	Graph	y<=-3x+1 y>=-1/4x+6	$y \leq - 3 x + 1$ $y \geq - \frac{1}{4} x + 6$
199138	Simplify	2m4b-3a2n-0.2b5m+n5a-5bm+8na	$2 m \cdot 4 b - 3 a \cdot 2 n - 0.2 b \cdot 5 m + n \cdot 5 a - 5 b m + 8 n a$
199139	Simplify	(3x)/(2y+3)+(x^2+3x)/(4xy-3-2y+6x)	$\frac{3 x}{2 y + 3} + \frac{x^{2} + 3 x}{4 x y - 3 - 2 y + 6 x}$
199140	Evaluate	15c^-8d^0	$15 c^{- 8} d^{0}$
199141	Simplify	(8a^(m+3))^3*(1/4a^(1-m))^6	${(8 a^{m + 3})}^{3} \cdot {(\frac{1}{4} a^{1 - m})}^{6}$
199142	Simplify	(-16-8)/2+25÷5+1	$\frac{- 16 - 8}{2} + 25 \div 5 + 1$
199143	Simplify	square root of (2x)/y	$\sqrt{\frac{2 x}{y}}$
199144	Factor	11x-xy+11y-x^2	$11 x - x y + 11 y - x^{2}$
199145	Factor	ab-3b+b^2-3a	$a b - 3 b + b^{2} - 3 a$
199146	Solve for x	2x+x^2=0	$2 x + x^{2} = 0$
199147	Solve for x	1/5x+1/4=1/2(x+5)	$\frac{1}{5} x + \frac{1}{4} = \frac{1}{2} (x + 5)$
199148	Simplify	3 square root of 12+1/2 square root of 96- square root of 54	$3 \sqrt{12} + \frac{1}{2} \sqrt{96} - \sqrt{54}$
199149	Divide	(3a^3-15a^2b+12ab^2)/(3a^2b)	$\frac{3 a^{3} - 15 a^{2} b + 12 a b^{2}}{3 a^{2} b}$
199150	Simplify	(x^2-1)3x-(x^2-2)2x	$(x^{2} - 1) \cdot 3 x - (x^{2} - 2) \cdot 2 x$
199151	Solve for a	(4a-4)/16-(3-5a)/24=1	$\frac{4 a - 4}{16} - \frac{3 - 5 a}{24} = 1$
199152	Solve the Inequality for x	((x-12)(x+5))/((x-3)^3)<=0	$\frac{(x - 12) (x + 5)}{{(x - 3)}^{3}} \leq 0$
199153	Evaluate	((3/5)(2/5))÷(4/7)	$((\frac{3}{5}) (\frac{2}{5})) \div \frac{4}{7}$
199154	Evaluate	(1/2+1/3+1/6)÷2 1/2	$(\frac{1}{2} + \frac{1}{3} + \frac{1}{6}) \div 2 \frac{1}{2}$
199155	Solve for x	(x+4)^2-2x-5=(x-1)^2	${(x + 4)}^{2} - 2 x - 5 = {(x - 1)}^{2}$
199156	Solve the Inequality for x	7 square root of x+1<9	$7 \sqrt{x} + 1 < 9$
199157	Simplify	(6^(1/2)*4^(1/3))^2	${(6^{\frac{1}{2}} \cdot 4^{\frac{1}{3}})}^{2}$
199158	Write in Exponential Form	2 square root of a+3 square root of b	$2 \sqrt{a} + 3 \sqrt{b}$
199159	Solve for x	(5-x)^(1/2)-2x=0	${(5 - x)}^{\frac{1}{2}} - 2 x = 0$
199160	Graph Using a Table of Values	Y=(1/4)^x	$Y = {(\frac{1}{4})}^{x}$
199161	Simplify	-9m^-2n^5*2m^-3n^-6	$- 9 m^{- 2} n^{5} \cdot 2 m^{- 3} n^{- 6}$
199162	Simplify	(y*y^(1/3))^(3/2)	${(y \cdot y^{\frac{1}{3}})}^{\frac{3}{2}}$
199163	Simplify	(6w^3+7w^2-12w+15)/(2w^2+3w-5)	$\frac{6 w^{3} + 7 w^{2} - 12 w + 15}{2 w^{2} + 3 w - 5}$
199164	Factor	mn-mk+xk-xn	$m n - m k + x k - x n$
199165	Simplify	12 root of 729	$\sqrt[12]{729}$
199166	Simplify	(4-x)/(x^2-3x)-(2x+7)/(x^2-6x+9)	$\frac{4 - x}{x^{2} - 3 x} - \frac{2 x + 7}{x^{2} - 6 x + 9}$
199167	Simplify	((2ab)/(a^2-b^2))÷((4ab)/((a-b)^2))	$\frac{2 a b}{a^{2} - b^{2}} \div \frac{4 a b}{{(a - b)}^{2}}$
199168	Simplify the Radical Expression	square root of (27x^4)/(75y^2)	$\sqrt{\frac{27 x^{4}}{75 y^{2}}}$
199169	Solve for z	5/3z+1=3-2/3Z	$\frac{5}{3} z + 1 = 3 - \frac{2}{3} Z$
199170	Simplify	((2a+3b)/(2a)+(2a-3b)/(3b))^2-((2a+3b)/(2a)-(2a-3b)/(3b))^2	${(\frac{2 a + 3 b}{2 a} + \frac{2 a - 3 b}{3 b})}^{2} - {(\frac{2 a + 3 b}{2 a} - \frac{2 a - 3 b}{3 b})}^{2}$
199171	Solve for x	(8x+7)/6+(3-2x)/4-(5x-2)/2=32	$\frac{8 x + 7}{6} + \frac{3 - 2 x}{4} - \frac{5 x - 2}{2} = 32$
199172	Find the Roots (Zeros)	9x^2-1-(3x-2)^2=0	$9 x^{2} - 1 - {(3 x - 2)}^{2} = 0$
199173	Simplify	(8-x^3)/(25x^2+100-100x)	$\frac{8 - x^{3}}{25 x^{2} + 100 - 100 x}$
199174	Solve for x	6.2÷(2x+1)=2 1/3÷4	$6.2 \div (2 x + 1) = 2 \frac{1}{3} \div 4$
199175	Solve for x	(2x-5.6)/3=(1-x)/1.5	$\frac{2 x - 5.6}{3} = \frac{1 - x}{1.5}$
199176	Solve for z	square root of (z+5)^2=6	$\sqrt{{(z + 5)}^{2}} = 6$
199177	Simplify	( square root of 2+ square root of 5)/( square root of 2- square root of 5)	$\frac{\sqrt{2} + \sqrt{5}}{\sqrt{2} - \sqrt{5}}$
199178	Factor	f(x)=64x^3-240x^2+300x-125	$f (x) = 64 x^{3} - 240 x^{2} + 300 x - 125$
199179	Simplify	(x^2+3x+2)/(x(x+2)^3(x+1))-1/(x(x+2)(x+5))	$\frac{x^{2} + 3 x + 2}{x {(x + 2)}^{3} (x + 1)} - \frac{1}{x (x + 2) (x + 5)}$
199180	Simplify	cube root of square root of 64	$\sqrt[3]{\sqrt[2]{64}}$
199181	Solve for x	64^(x+1)=32^(6/5x)	$64^{x + 1} = 32^{\frac{6}{5} x}$
199182	Simplify	(1/x)^0	${(\frac{1}{x})}^{0}$
199183	Solve for x	7 square root of x+1<9	$7 \sqrt{x} + 1 < 9$
199184	Simplify the Radical Expression	cube root of square root of 64	$\sqrt[3]{\sqrt{64}}$
199185	Rationalize the Denominator	square root of (2x)/y	$\sqrt{\frac{2 x}{y}}$
199186	Simplify	(x+y)/(2xy-y^2)-(x-y)/(2x^2-xy)	$\frac{x + y}{2 x y - y^{2}} - \frac{x - y}{2 x^{2} - x y}$
199187	Simplify	square root of 2x^4* square root of 8x^3	$\sqrt{2 x^{4}} \cdot \sqrt{8 x^{3}}$
199188	Simplify	cube root of square root of 27	$\sqrt[3]{\sqrt{27}}$
199189	Solve for y	2xy+6y=10	$2 x y + 6 y = 10$
199190	Solve for x	square root of 2x-2/3=0	$\sqrt{2 x} - \frac{2}{3} = 0$
199191	Graph	y> = square root of x-2+1	$y \geq \sqrt{x - 2} + 1$
199192	Solve for n	1+2cot(theta)^2+cot(theta)^4=csc(theta)^n	$1 + 2 \cot^{2} (θ) + \cot^{4} (θ) = {\csc (θ)}^{n}$
199193	Solve for z	2/y=x/(3z)	$\frac{2}{y} = \frac{x}{3 z}$
199194	Solve for y	x-1/3y=-1	$x - \frac{1}{3} y = - 1$
199195	Solve for k	cube root of k+4 = cube root of 2k+3	$\sqrt[3]{k + 4} = \sqrt[3]{2 k + 3}$
199196	Solve the System of Inequalities	y<=-3x+1 y>=-1/4x+6	$y \leq - 3 x + 1$ $y \geq - \frac{1}{4} x + 6$
199197	Simplify	((2x^3)^2(3y^4)^3)/(12x^4y^5)-4x^2y^7	$\frac{{(2 x^{3})}^{2} {(3 y^{4})}^{3}}{12 x^{4} y^{5}} - 4 x^{2} y^{7}$
199198	Simplify	( cube root of 625x^6y^4)/( cube root of 5xy)	$\frac{\sqrt[3]{625 x^{6} y^{4}}}{\sqrt[3]{5 x y}}$
199199	Simplify	(1+i square root of 2)/2-(1-i square root of 1/2)	$\frac{(1 + i \sqrt{2})}{2} - (1 - i \sqrt{\frac{1}{2}})$
199200	Factor	(b-c)^3+(c-a)^3+(a-b)^3	${(b - c)}^{3} + {(c - a)}^{3} + {(a - b)}^{3}$