Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
10101	Simplify	(4+3i)(2-5i)	$(4 + 3 i) (2 - 5 i)$
10102	Find the Vertex	y=2x^2-5x+4	$y = 2 x^{2} - 5 x + 4$
10103	Simplify	square root of 75x^2y^-4	$\sqrt{75 x^{2} y^{- 4}}$
10104	Find the Vertex	y=x^2+8x-4	$y = x^{2} + 8 x - 4$
10105	Solve for x	y=-3x	$y = - 3 x$
10106	Find the Vertex	y+2x+3=-(x+2)^2+1	$y + 2 x + 3 = - {(x + 2)}^{2} + 1$
10107	Expand Using the Binomial Theorem	(2x+y^2)^5	${(2 x + y^{2})}^{5}$
10108	Multiply	40*5	$40 \cdot 5$
10109	Find the Domain and Range	f(x)=2^x	$f (x) = 2^{x}$
10110	Multiply	22*5	$22 \cdot 5$
10111	Solve for x	3x^2-5x-7=0	$3 x^{2} - 5 x - 7 = 0$
10112	Multiply	(x^2-x-6)/(4x^3)*(2x^2+2x)/(x^2+5x+6)	$\frac{x^{2} - x - 6}{4 x^{3}} \cdot \frac{2 x^{2} + 2 x}{x^{2} + 5 x + 6}$
10113	Find the x and y Intercepts	f(x)=5(3)^x	$f (x) = 5 {(3)}^{x}$
10114	Solve for x	x^2-12x+36=0	$x^{2} - 12 x + 36 = 0$
10115	Convert to Interval Notation	x^2<=8x-14	$x^{2} \leq 8 x - 14$
10116	Find the Leading Coefficient	x^3+1/3x^4+6x+5	$x^{3} + \frac{1}{3} x^{4} + 6 x + 5$
10117	Simplify	(x^4y)^3	${(x^{4} y)}^{3}$
10118	Find the Roots (Zeros)	log of 4x-1	$\log (4 x - 1)$
10119	Simplify	(x+8)(x+9)	$(x + 8) (x + 9)$
10120	Convert to Radical Form	b^(1/4)	$b^{\frac{1}{4}}$
10121	Find the Asymptotes	y=(60x)/(1+0.625x)	$y = \frac{60 x}{1 + 0.625 x}$
10122	Simplify	(x+3)(x-8)	$(x + 3) (x - 8)$
10123	Convert to a Simplified Fraction	84%	$84 %$
10124	Simplify	(x+3)(x^2-3x+9)	$(x + 3) (x^{2} - 3 x + 9)$
10125	Simplify	(x-2)(x-9)	$(x - 2) (x - 9)$
10126	Write in Standard Form	(-8y^2-9y)+(8y^3+9y^2-2y)	$(- 8 y^{2} - 9 y) + (8 y^{3} + 9 y^{2} - 2 y)$
10127	Simplify	(7+8i)(7-8i)	$(7 + 8 i) (7 - 8 i)$
10128	Subtract	(6b^3+3bc+9c^3)-(-6b^3-9bc-3c^2)	$(6 b^{3} + 3 b c + 9 c^{3}) - (- 6 b^{3} - 9 b c - 3 c^{2})$
10129	Simplify	i^87	$i^{87}$
10130	Subtract	7/(9x^2)-(2x-5)/(54x^3)	$\frac{7}{9 x^{2}} - \frac{2 x - 5}{54 x^{3}}$
10131	Simplify	square root of 75x- square root of 48x	$\sqrt{75 x} - \sqrt{48 x}$
10132	Simplify	square root of 16200	$\sqrt{16200}$
10133	Find the Slope and y-intercept	y=7/4x-10	$y = \frac{7}{4} x - 10$
10134	Simplify	5/(6ab)-7/(8a)	$\frac{5}{6 a b} - \frac{7}{8 a}$
10135	Find the Inverse	c(n)=10n+20	$c (n) = 10 n + 20$
10136	Simplify	2/x	$\frac{2}{x}$
10137	Find the Inverse	C(n)=20n+15	$C (n) = 20 n + 15$
10138	Find the Foci	(x^2)/25-(y^2)/144=1	$\frac{x^{2}}{25} - \frac{y^{2}}{144} = 1$
10139	Add	(-2k^3-7k^2+5k)+(6k^2+3k)	$(- 2 k^{3} - 7 k^{2} + 5 k) + (6 k^{2} + 3 k)$
10140	Simplify	(9u^2)^(3/2)	${(9 u^{2})}^{\frac{3}{2}}$
10141	Add	(d^2+6d+9)+(d^3+6d+9)	$(d^{2} + 6 d + 9) + (d^{3} + 6 d + 9)$
10142	Simplify	(a+b+c)^2	${(a + b + c)}^{2}$
10143	Find the Roots (Zeros)	f(x)=x^2+8x-20	$f (x) = x^{2} + 8 x - 20$
10144	Simplify	(5+i)^2	${(5 + i)}^{2}$
10145	Convert to a Decimal	9.1%	$9.1 %$
10146	Simplify	(5x)^(2/3)	${(5 x)}^{\frac{2}{3}}$
10147	Simplify	(x^2-36)/(x^2-3x-18)*(x+3)/x	$\frac{x^{2} - 36}{x^{2} - 3 x - 18} \cdot \frac{x + 3}{x}$
10148	Write as a Single Logarithm	3 natural log of 5	$3 \ln (5)$
10149	Simplify	fifth root of x* fifth root of x* fifth root of x* fifth root of x	$\sqrt[5]{x} \cdot \sqrt[5]{x} \cdot \sqrt[5]{x} \cdot \sqrt[5]{x}$
10150	Expand Using the Binomial Theorem	(x^2+y)^2	${(x^{2} + y)}^{2}$
10151	Simplify	x^(2-1)	$x^{2 - 1}$
10152	Convert to Logarithmic Form	10^-3=1/1000	$10^{- 3} = \frac{1}{1000}$
10153	Simplify	3 square root of 50	$3 \sqrt{50}$
10154	Find the Focus	y-4=3/8x^2	$y - 4 = \frac{3}{8} x^{2}$
10155	Convert to a Percentage	0.027	$0.027$
10156	Convert to a Percentage	0.032	$0.032$
10157	Find the Vertex	y=x^2-8x-3	$y = x^{2} - 8 x - 3$
10158	Solve for x	-20=-4x-6x	$- 20 = - 4 x - 6 x$
10159	Find the Vertex	y=3x^2-2x+4	$y = 3 x^{2} - 2 x + 4$
10160	Simplify	-2n-(9-10n)	$- 2 n - (9 - 10 n)$
10161	Solve for x	-4<=2x-6<=12	$- 4 \leq 2 x - 6 \leq 12$
10162	Simplify	-6(a+8)	$- 6 (a + 8)$
10163	Reduce the Fraction	21/36	$\frac{21}{36}$
10164	Simplify	sin(0.0)	$\sin (0)$
10165	Write in Standard Form	x^2-2x-y-8=0	$x^{2} - 2 x - y - 8 = 0$
10166	Graph	x>=-2	$x \geq - 2$
10167	Multiply	3.14*36	$3.14 \cdot 36$
10168	Multiply	3x*3x	$3 x \cdot 3 x$
10169	Multiply	(x-8)^2	${(x - 8)}^{2}$
10170	Multiply	(x+2)^3	${(x + 2)}^{3}$
10171	Find a,b,c	(2x+1)(x-2)=0	$(2 x + 1) (x - 2) = 0$
10172	Multiply	(6x-7)^2	${(6 x - 7)}^{2}$
10173	Convert to Interval Notation	x^2<=4x-2	$x^{2} \leq 4 x - 2$
10174	Convert to Interval Notation	x^2<=6x-7	$x^{2} \leq 6 x - 7$
10175	Simplify	((x-1)/(x^2-4))/(1+1/(x-2))	$\frac{\frac{x - 1}{x^{2} - 4}}{1 + \frac{1}{x - 2}}$
10176	Solve by Completing the Square	x^2-2/3x=8/9	$x^{2} - \frac{2}{3} x = \frac{8}{9}$
10177	Solve by Completing the Square	x^2+6x=15	$x^{2} + 6 x = 15$
10178	Find the Vertex	f(x)=2x^2-8x+6	$f (x) = 2 x^{2} - 8 x + 6$
10179	Simplify	square root of 12x	$\sqrt{12 x}$
10180	Simplify	square root of 16/81	$\sqrt{\frac{16}{81}}$
10181	Subtract	(6z+1)/(4z+4)-2/(7z^2)	$\frac{6 z + 1}{4 z + 4} - \frac{2}{7 z^{2}}$
10182	Simplify	square root of 16/x	$\sqrt{\frac{16}{x}}$
10183	Subtract	(2k^3-7k^2+3k)-(-4k^2+5k)	$(2 k^{3} - 7 k^{2} + 3 k) - (- 4 k^{2} + 5 k)$
10184	Subtract	(3g^4+5g^2h+1)-(3g^4-5g^2+8h)	$(3 g^{4} + 5 g^{2} h + 1) - (3 g^{4} - 5 g^{2} + 8 h)$
10185	Simplify	square root of 7/x	$\sqrt{\frac{7}{x}}$
10186	Rationalize the Denominator	5/(1- square root of 3)	$\frac{5}{1 - \sqrt{3}}$
10187	Simplify	square root of x^22	$\sqrt{x^{22}}$
10188	Write in Standard Form	(x^2+4)(x^2-6)	$(x^{2} + 4) (x^{2} - 6)$
10189	Combine	-k+3k	$- k + 3 k$
10190	Simplify	-6/( square root of x-5)	$\frac{- 6}{\sqrt{x} - 5}$
10191	Find the Parabola Through (0,-12) with Vertex (-2,-20)	(-2,-20) , (0,-12)	$(- 2, - 20) (0, - 12)$
10192	Simplify	6/(5+i)	$\frac{6}{5 + i}$
10193	Find the Parabola Through (-2,-20) with Vertex (0,-12)	(-2,-20) , (0,-12)	$(- 2, - 20) (0, - 12)$
10194	Simplify	1/( square root of 2y)	$\frac{1}{\sqrt{2 y}}$
10195	Find the Slope and y-intercept	y=3-4x	$y = 3 - 4 x$
10196	Find the Slope and y-intercept	y=-3-7x	$y = - 3 - 7 x$
10197	Find the Asymptotes	7/(x^2-2x-24)	$\frac{7}{x^{2} - 2 x - 24}$
10198	Write as a Single Logarithm	log base 5 of 4.7+ log base 5 of 2	$\log_{5} (4.7) + \log_{5} (2)$
10199	Convert to a Decimal	2 3/4	$2 \frac{3}{4}$
10200	Simplify	square root of 49x^3	$\sqrt{49 x^{3}}$