Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
199901	Simplify the Radical Expression	cube root of 3* cube root of 9	$\sqrt[3]{3} \cdot \sqrt[3]{9}$
199902	Simplify	(a/(a-b)-(a-b)/(a+b)+(b^2)/(a^2-b^2))*(a-b)/(3ab)	$(\frac{a}{a - b} - \frac{a - b}{a + b} + \frac{b^{2}}{a^{2} - b^{2}}) \cdot \frac{a - b}{3 a b}$
199903	Find the Roots (Zeros)	x^3-7x+6=(x-1)(x+3)(x-2)	$x^{3} - 7 x + 6 = (x - 1) (x + 3) (x - 2)$
199904	Simplify	x* cube root of y^6+y^2* cube root of x^3	$x \cdot \sqrt[3]{y^{6}} + y^{2} \cdot \sqrt[3]{x^{3}}$
199905	Simplify	(-4d^02^-3e^5)^-1	${(- 4 d^{0} \cdot 2^{- 3} \cdot e^{5})}^{- 1}$
199906	Simplify	(m^-2n^-5)/((m^4n^3)^-1)	$\frac{m^{- 2} n^{- 5}}{{(m^{4} n^{3})}^{- 1}}$
199907	Evaluate	(8/9)÷(6 1/4*3.2-18)	$\frac{8}{9} \div (6 \frac{1}{4} \cdot 3.2 - 18)$
199908	Solve for d	d+8=-d-10	$d + 8 = - d - 10$
199909	Solve for B	F(B-g^3)=2	$F (B - g^{3}) = 2$
199910	Simplify	(3x^3+6x^2-5x+5)+(-2x^3+3x^2-6)	$(3 x^{3} + 6 x^{2} - 5 x + 5) + (- 2 x^{3} + 3 x^{2} - 6)$
199911	Simplify	((2x^3y^2)^3)/((3xy)^2)	$\frac{{(2 x^{3} y^{2})}^{3}}{{(3 x y)}^{2}}$
199912	Simplify	(x^(3/2)y^(7/3))/(x^3y^(2/9))	$\frac{x^{\frac{3}{2}} y^{\frac{7}{3}}}{x^{3} y^{\frac{2}{9}}}$
199913	Solve for v	-6v+10=-8+2v-10v	$- 6 v + 10 = - 8 + 2 v - 10 v$
199914	Solve for x	square root of x+15=5+ square root of x	$\sqrt{x + 15} = 5 + \sqrt{x}$
199915	Simplify	(x^2-3xy)/((x+y)(x-y))+y/(x-y)	$\frac{x^{2} - 3 x y}{(x + y) (x - y)} + \frac{y}{x - y}$
199916	Evaluate	2.76.2-9.31.2+6.29.3-1.22.7	$2.7 \cdot 6.2 - 9.3 \cdot 1.2 + 6.2 \cdot 9.3 - 1.2 \cdot 2.7$
199917	Simplify	(2x^-2)^0+(3x^2)^0	${(2 x^{- 2})}^{0} + {(3 x^{2})}^{0}$
199918	Simplify	(m-3n)(m+2n)-m(m-n)	$(m - 3 n) (m + 2 n) - m (m - n)$
199919	Write Using Positive Exponents	(2^-2m^-3)/(n^0)	$\frac{2^{- 2} m^{- 3}}{n^{0}}$
199920	Factor	-ab+ac	$- a b + a c$
199921	Rationalize the Denominator	square root of (5m)/(7n^2)	$\sqrt{\frac{5 m}{7 n^{2}}}$
199922	Solve for y	-9+7y+1=10+10y	$- 9 + 7 y + 1 = 10 + 10 y$
199923	Simplify the Radical Expression	(x^3y^4)^(2/3)	${(x^{3} y^{4})}^{\frac{2}{3}}$
199924	Solve for b	-t+1/2b=Y	$- t + \frac{1}{2} b = Y$
199925	Simplify	(10p)/(p-q)+(3p)/(q-p)	$\frac{10 p}{p - q} + \frac{3 p}{q - p}$
199926	Solve for d	-9d=-8-7d	$- 9 d = - 8 - 7 d$
199927	Convert to Rectangular	r=2sin(3theta)	$r = 2 \sin (3 θ)$
199928	Simplify	((2a^5b^3)^2*12ab^4)/(5a^7b^3+3a^7b^3)	$\frac{{(2 a^{5} b^{3})}^{2} \cdot 12 a b^{4}}{5 a^{7} b^{3} + 3 a^{7} b^{3}}$
199929	Simplify	(2x+3y+5)^2	${(2 x + 3 y + 5)}^{2}$
199930	Simplify	(7b)/(12a)-1/(18ab^3)	$\frac{7 b}{12 a} - \frac{1}{18 a b^{3}}$
199931	Simplify	(x^6)/(x^5)*3x^2	$\frac{x^{6}}{x^{5}} \cdot 3 x^{2}$
199932	Find the Domain and Range	f(x)=(x-2)/(2-x)	$f (x) = \frac{x - 2}{2 - x}$
199933	Solve the Inequality for x	x^2-9x+18>2(x-3)	$x^{2} - 9 x + 18 > 2 (x - 3)$
199934	Simplify	(5m^-1)/(9(ab)^-4c^7)	$\frac{5 m^{- 1}}{9 {(a b)}^{- 4} c^{7}}$
199935	Simplify the Radical Expression	27 square root of 6+7 square root of 150	$27 \sqrt{6} + 7 \sqrt{150}$
199936	Simplify	-3/4x-1/3+7/8x-1/2	$- \frac{3}{4} x - \frac{1}{3} + \frac{7}{8} x - \frac{1}{2}$
199937	Solve for f	-1+2f=-8+6f-3f	$- 1 + 2 f = - 8 + 6 f - 3 f$
199938	Solve for p	8-6p+5p=-6p-2	$8 - 6 p + 5 p = - 6 p - 2$
199939	Expand the Logarithmic Expression	log base 4 of ((2j)/(k^5))^3	$\log_{4} ({(\frac{2 j}{k^{5}})}^{3})$
199940	Solve for x	2 4/5x=-1 1/4	$2 \frac{4}{5} x = - 1 \frac{1}{4}$
199941	Solve for k	3k=9+6k	$3 k = 9 + 6 k$
199942	Rationalize the Denominator	( square root of 2)/( square root of 2-1)	$\frac{\sqrt{2}}{\sqrt{2 - 1}}$
199943	Simplify	(p+10)/(9-p)*(p^2-5p-36)/(4p^2+16p)	$\frac{p + 10}{9 - p} \cdot \frac{p^{2} - 5 p - 36}{4 p^{2} + 16 p}$
199944	Simplify the Radical Expression	12 root of 729	$\sqrt[12]{729}$
199945	Solve for r	5r-5r+9=2r-1	$5 r - 5 r + 9 = 2 r - 1$
199946	Solve for y	-2y-6-1=2y+1	$- 2 y - 6 - 1 = 2 y + 1$
199947	Find the Intersection	f(x)=3x+3 g(x)=x^2+4x+4	$f (x) = 3 x + 3$ $g (x) = x^{2} + 4 x + 4$
199948	Solve for x	4(3-x)^(1/3)-5=3	$4 {(3 - x)}^{\frac{1}{3}} - 5 = 3$
199949	Simplify	(-(18a^2b^2)/(5cd))÷(-(9ab^3)/(5c^2d^4))	$- \frac{18 a^{2} b^{2}}{5 c d} \div (- \frac{9 a b^{3}}{5 c^{2} d^{4}})$
199950	Solve for n	1-3n=-9+n+2	$1 - 3 n = - 9 + n + 2$
199951	Evaluate	5^( log base 5 of 6+ log base 5 of 7)	$5^{\log_{5} (6) + \log_{5} (7)}$
199952	Simplify	(1/x-1/(x+2))/2	$\frac{\frac{1}{x} - \frac{1}{(x + 2)}}{2}$
199953	Factor	-80x^3y+40x^2y^2-5xy^3	$- 80 x^{3} y + 40 x^{2} y^{2} - 5 x y^{3}$
199954	Solve for h	4h-9=-3h-2-7	$4 h - 9 = - 3 h - 2 - 7$
199955	Find the Exact Value	csc(510 degrees )	$\csc (510 °)$
199956	Solve by Substitution	2x=y-10 x+7=y	$2 x = y - 10$ $x + 7 = y$
199957	Simplify the Radical Expression	6 fourth root of 405	$6 \sqrt[4]{405}$
199958	Solve for r	-4(r+2)=4(2-2r)	$- 4 (r + 2) = 4 (2 - 2 r)$
199959	Simplify	2(x/2-5)-3/2(x+7/4)	$2 (\frac{x}{2} - 5) - \frac{3}{2} (x + \frac{7}{4})$
199960	Solve for r	r+6=-9-9-2r	$r + 6 = - 9 - 9 - 2 r$
199961	Convert to Radical Form	(2x)1/2	$(2 x) \frac{1}{2}$
199962	Simplify	c/(b-c)+(b^2-3bc)/(b^2-c^2)	$\frac{c}{b - c} + \frac{b^{2} - 3 b c}{b^{2} - c^{2}}$
199963	Simplify the Radical Expression	( square root of 2)/( square root of 32)	$\frac{\sqrt{2}}{\sqrt{32}}$
199964	Solve for f	10f+10=9f	$10 f + 10 = 9 f$
199965	Graph	y=-(2x+3)(x-1)^2	$y = - (2 x + 3) {(x - 1)}^{2}$
199966	Simplify	(x^(2/5)y^(4/10))^-5	${(x^{\frac{2}{5}} y^{\frac{4}{10}})}^{- 5}$
199967	Solve for b	8b+9=7b	$8 b + 9 = 7 b$
199968	Solve for y	square root of (y-3)^2=5	$\sqrt{{(y - 3)}^{2}} = 5$
199969	Solve for x	x=5+ square root of 2x-10	$x = 5 + \sqrt{2 x - 10}$
199970	Factor	x^4+2x^3-2x-1	$x^{4} + 2 x^{3} - 2 x - 1$
199971	Solve for x	3 1/3(1+2x)=5 1/2(2x-1)	$3 \frac{1}{3} (1 + 2 x) = 5 \frac{1}{2} (2 x - 1)$
199972	Solve for x	f(x)=ax^2+bx+c	$f (x) = a x^{2} + b x + c$
199973	Simplify	( cube root of 6)/( cube root of 32)	$\frac{\sqrt[3]{6}}{\sqrt[3]{32}}$
199974	Divide Using Long Polynomial Division	(8x^4-18x^3+9x^2+4x+2)÷(x^2-2x+1)	$(8 x^{4} - 18 x^{3} + 9 x^{2} + 4 x + 2) \div (x^{2} - 2 x + 1)$
199975	Solve for u	-5u-8=-2u-1+4u	$- 5 u - 8 = - 2 u - 1 + 4 u$
199976	Solve for x	-1/5=-2/3-1/6x	$- \frac{1}{5} = - \frac{2}{3} - \frac{1}{6} x$
199977	Simplify	4a^2b^3*(9a^4b^2-4a^2+3)	$4 a^{2} b^{3} \cdot (9 a^{4} b^{2} - 4 a^{2} + 3)$
199978	Simplify	(14/(9x^3))÷((7x)/(2y^2))	$\frac{14}{9 x^{3}} \div \frac{7 x}{2 y^{2}}$
199979	Simplify	fourth root of a^2b^14	$\sqrt[4]{a^{2} b^{14}}$
199980	Find the Roots (Zeros)	2x^4+8x^3+10x^2+40x	$2 x^{4} + 8 x^{3} + 10 x^{2} + 40 x$
199981	Simplify	(x^(7/8))(x^(1/4))	$(x^{\frac{7}{8}}) (x^{\frac{1}{4}})$
199982	Solve for x	1-5/(x-2)=-20/(x^2-4)	$1 - \frac{5}{x - 2} = - \frac{20}{x^{2} - 4}$
199983	Solve for x	1/4(5/12x-3/4)>x+1/12	$\frac{1}{4} (\frac{5}{12} x - \frac{3}{4}) > x + \frac{1}{12}$
199984	Simplify	( square root of 8x)/( square root of 3y)	$\frac{\sqrt{8 x}}{\sqrt{3 y}}$
199985	Simplify	cube root of x* square root of 2x	$\sqrt[3]{x} \cdot \sqrt{2 x}$
199986	Solve for x	fifth root of x+5=7	$\sqrt[5]{x} + 5 = 7$
199987	Simplify	(2 square root of 3-3)/(6- square root of 3)	$\frac{2 \sqrt{3} - 3}{6 - \sqrt{3}}$
199988	Factor	p(c-d)+c-d	$p (c - d) + c - d$
199989	Solve for m	(m+2)(m+3)=(m+2)(m-2)	$(m + 2) (m + 3) = (m + 2) (m - 2)$
199990	Simplify	((4x^4y^2)/(6xy))^2	${(\frac{4 x^{4} y^{2}}{6 x y})}^{2}$
199991	Solve for p	5/8p-3/4=4	$\frac{5}{8} p - \frac{3}{4} = 4$
199992	Solve for a	square root of a^2=17	$\sqrt{a^{2}} = 17$
199993	Simplify	(2i-1)^3	${(2 i - 1)}^{3}$
199994	Solve the Inequality for x	-2 cube root of x+4<12	$- 2 \sqrt[3]{x + 4} < 12$
199995	Factor	3a(2x-7)+5b(7-2x)	$3 a (2 x - 7) + 5 b (7 - 2 x)$
199996	Solve for w	-6+8w=-4-7+7w	$- 6 + 8 w = - 4 - 7 + 7 w$
199997	Simplify	(2a^2)^3+(a^4)(3a^2)	${(2 a^{2})}^{3} + (a^{4}) (3 a^{2})$
199998	Solve for x	(1/8)^(x/2-1)=(1/4)^(x/3)	${(\frac{1}{8})}^{\frac{x}{2} - 1} = {(\frac{1}{4})}^{\frac{x}{3}}$
199999	Solve for x	x^9-x^5+x^4-1=0	$x^{9} - x^{5} + x^{4} - 1 = 0$
200000	Solve for f	6+4f=6(2f+7)+10f	$6 + 4 f = 6 (2 f + 7) + 10 f$