2*(h - 2)*(h - 1)*(h + 2)/13
Factor -m**3/3 + 50*m**2/3 - 187*m/3 + 46.
-(m - 46)*(m - 3)*(m - 1)/3
Determine v, given that -2*v**4/9 + 32*v**3/3 - 170*v**2 + 900*v = 0.
0, 15, 18
Factor 1323*w**2 + 3654*w + 2523.
3*(21*w + 29)**2
Factor 2*o**3/17 - 3384*o**2/17 + 1908576*o/17 - 358812288/17.
2*(o - 564)**3/17
Let f**4/4 + 367*f**3/4 = 0. What is f?
-367, 0
Solve -2*g**5/9 + 22*g**4/3 - 58*g**3/9 - 202*g**2/9 + 36*g - 128/9 = 0.
-2, 1, 32
Factor -2*l**2/9 + 100*l/9 - 1250/9.
-2*(l - 25)**2/9
Let -2*j**2/7 + 1836*j/7 - 421362/7 = 0. What is j?
459
Suppose 5*o**3 + 20*o**2 - 25*o = 0. Calculate o.
-5, 0, 1
Factor -5*h**3 - 20*h**2 + 25*h.
-5*h*(h - 1)*(h + 5)
Factor 2*x**2 + 60*x + 400.
2*(x + 10)*(x + 20)
Factor -6*u**2 - 1035*u - 2550.
-3*(u + 170)*(2*u + 5)
Solve 5*v**4 - 15*v**3 - 2135*v**2 - 20205*v - 52650 = 0.
-9, -5, 26
Suppose -q**2/9 - 7*q/9 - 10/9 = 0. Calculate q.
-5, -2
Determine s so that 2*s**2/13 + 18*s/13 - 44/13 = 0.
-11, 2
Solve 2*i**3 + 14*i**2 = 0 for i.
-7, 0
Determine y, given that -y**5/6 - 19*y**4/6 - 89*y**3/6 - 53*y**2/6 + 15*y + 12 = 0.
-12, -6, -1, 1
Factor 2*w**5/9 - 2*w**4/9 - 32*w**3/9 - 40*w**2/9.
2*w**2*(w - 5)*(w + 2)**2/9
What is a in 729*a**5/5 + 108*a**4/5 - 2183*a**3/5 - 1782*a**2/5 - 228*a/5 - 8/5 = 0?
-1, -2/27, 2
Factor -2*t**2/19 - 200*t/19 + 408/19.
-2*(t - 2)*(t + 102)/19
Find k such that -4*k**4/3 + 40*k**3/3 - 140*k**2/3 + 200*k/3 - 32 = 0.
1, 2, 3, 4
Factor 4*l**5 + 28*l**4 - 52*l**3 - 172*l**2 - 96*l.
4*l*(l - 3)*(l + 1)**2*(l + 8)
Factor g**4/5 - 13*g**3/5.
g**3*(g - 13)/5
Solve -5*d**2/4 - 475*d/2 - 45125/4 = 0 for d.
-95
Let 6*g**5/7 - 15*g**4 + 501*g**3/7 - 117*g**2 + 297*g/7 = 0. Calculate g.
0, 1/2, 3, 11
Suppose f**4/7 - 32*f**3/7 + 141*f**2/7 + 266*f + 2888/7 = 0. Calculate f.
-4, -2, 19
Determine q so that -q**4 + 7*q**3 - 18*q**2 + 20*q - 8 = 0.
1, 2
Find o, given that 3*o**4/2 + 3*o**3/2 - 21*o**2/8 + 3*o/4 = 0.
-2, 0, 1/2
Factor -25*l**3 - 90*l**2 - 60*l + 40.
-5*(l + 2)**2*(5*l - 2)
Factor 2*r**2/3 + 292*r/3.
2*r*(r + 146)/3
Determine w, given that -2*w**3 - 21*w**2 - 43*w - 24 = 0.
-8, -3/2, -1
Factor -3*r**4 + 9*r**3 - 9*r**2 + 3*r.
-3*r*(r - 1)**3
Factor 2*t**4 - 2*t**3 - 12*t**2.
2*t**2*(t - 3)*(t + 2)
Solve 2*b**2 + 26*b + 24 = 0.
-12, -1
What is c in -2*c**5/13 + 34*c**4 + 4*c**3/13 - 68*c**2 - 2*c/13 + 34 = 0?
-1, 1, 221
Let 2*h**2 + 3004*h + 3002 = 0. Calculate h.
-1501, -1
Find o such that -3*o**5/2 + 3*o**4 + 3*o**3/2 - 3*o**2 = 0.
-1, 0, 1, 2
Solve -2*f**5/11 - 16*f**4 - 4370*f**3/11 - 22156*f**2/11 - 41656*f/11 - 26896/11 = 0.
-41, -2
Find i such that -i**2/4 - 319*i/4 - 237 = 0.
-316, -3
Determine p so that -22*p**3 + 414*p**2 - 672*p - 136 = 0.
-2/11, 2, 17
Find b, given that 3*b**2 - 1518*b - 1521 = 0.
-1, 507
Find t such that -16*t**3/5 + 13*t**2/5 + 3*t/5 = 0.
-3/16, 0, 1
Factor -c**4/5 + 14*c**3 - 1509*c**2/5 + 1908*c - 1620.
-(c - 30)**2*(c - 9)*(c - 1)/5
Factor 4*m**4/5 + 4*m**3/5 - 12*m**2/5 - 4*m - 8/5.
4*(m - 2)*(m + 1)**3/5
Factor -2*c**2/3 + 98*c/3 + 100/3.
-2*(c - 50)*(c + 1)/3
Let 3*w**5 + 741*w**4 + 46125*w**3 + 45387*w**2 = 0. What is w?
-123, -1, 0
Find b such that -2*b**4/5 - 8*b**3/5 + 756*b**2/5 - 6664*b/5 + 3430 = 0.
-25, 7
Factor -d**5/5 - 11*d**4/5 - 39*d**3/5 - 61*d**2/5 - 44*d/5 - 12/5.
-(d + 1)**3*(d + 2)*(d + 6)/5
Factor -n**2/7 - 24*n/7 + 16.
-(n - 4)*(n + 28)/7
Determine g so that -21*g**4 + 202*g**3 + 588*g**2 + 152*g - 96 = 0.
-2, -2/3, 2/7, 12
Factor 4*f**2 - 60*f - 64.
4*(f - 16)*(f + 1)
Suppose -5*k**5/2 - 108*k**4 - 727*k**3 + 9900*k**2 - 18125*k/2 = 0. What is k?
-25, 0, 1, 29/5
Let -c**3/7 + 3*c/7 + 2/7 = 0. Calculate c.
-1, 2
Determine d, given that 3*d**2/4 - 9*d = 0.
0, 12
Find i such that 3*i**4 - 6*i**3 - 3*i**2 + 6*i = 0.
-1, 0, 1, 2
Find r, given that -3*r**3/2 + 153*r**2 - 7803*r/2 = 0.
0, 51
Find u, given that -2*u**3/25 - 104*u**2/25 + 106*u/25 = 0.
-53, 0, 1
Let s**3/3 - 3*s**2 + 9*s - 9 = 0. What is s?
3
Factor s**5 + 5*s**4 - 14*s**3 + 2*s**2 + 13*s - 7.
(s - 1)**3*(s + 1)*(s + 7)
Suppose -2*t**3/19 + 340*t**2/19 - 10296*t/19 + 86832/19 = 0. What is t?
18, 134
Factor -5*p**2 - 225*p + 2120.
-5*(p - 8)*(p + 53)
Factor -12*g**3/7 + 46*g**2/7 + 22*g/7 - 8.
-2*(g - 4)*(g - 1)*(6*g + 7)/7
Factor 3*a**3/2 - 219*a**2 - 441*a/2.
3*a*(a - 147)*(a + 1)/2
Factor 3*i**2/4 + 9*i/2 - 405/4.
3*(i - 9)*(i + 15)/4
Factor 3*j**5 - 111*j**4 + 108*j**3.
3*j**3*(j - 36)*(j - 1)
Factor -6*g**5 + 321*g**4 - 1224*g**3 + 1806*g**2 - 1194*g + 297.
-3*(g - 1)**4*(2*g - 99)
Let b**4/4 + 5*b**3/4 - b**2/4 - 5*b/4 = 0. What is b?
-5, -1, 0, 1
Factor 4*p**2/7 - 460*p/7 - 464/7.
4*(p - 116)*(p + 1)/7
Let -4*g**2/5 - 68*g = 0. Calculate g.
-85, 0
Factor -5*x**3 - 995*x**2 + 6185*x + 7175.
-5*(x - 7)*(x + 1)*(x + 205)
Solve -91*m**5/5 - 103*m**4/5 + 356*m**3/5 + 416*m**2/5 + 32*m/5 - 16/5 = 0 for m.
-2, -1, -2/7, 2/13, 2
Find t such that 4*t**2 + 84*t - 88 = 0.
-22, 1
Find q, given that 4*q**2 - 28*q - 32 = 0.
-1, 8
Find u, given that -u**2 + 294*u - 21609 = 0.
147
Determine v, given that 4*v**2 - 3528*v + 777924 = 0.
441
Factor -2*u**3 - 14*u**2 + 36*u.
-2*u*(u - 2)*(u + 9)
Find l, given that 2*l**3/7 + 24*l**2/7 - 8*l = 0.
-14, 0, 2
Determine x, given that 36*x**5 - 24*x**4 - 548*x**3 - 1016*x**2 - 688*x - 160 = 0.
-2, -1, -2/3, 5
What is b in b**5 - 4*b**4 - b**3 + 4*b**2 = 0?
-1, 0, 1, 4
Suppose -3*x**5/2 + 33*x**4 + 219*x**3/2 + 75*x**2 = 0. What is x?
-2, -1, 0, 25
Factor q**3 - 15*q**2 + 26*q.
q*(q - 13)*(q - 2)
Factor -2*t**4/5 + 12*t**3/5 - 2*t**2.
-2*t**2*(t - 5)*(t - 1)/5
Factor 3*i**2 + 36*i.
3*i*(i + 12)
Factor -4*s**3 - 20884*s**2 - 41756*s - 20876.
-4*(s + 1)**2*(s + 5219)
Suppose -r**4/3 + 3*r**3 - 6*r**2 - 4*r/3 + 8 = 0. What is r?
-1, 2, 6
Factor 4*k**2/17 - 42*k/17 + 20/17.
2*(k - 10)*(2*k - 1)/17
Factor -3*s**2 + 204*s - 396.
-3*(s - 66)*(s - 2)
Solve 2*c**2 - 170*c - 172 = 0.
-1, 86
Factor 45*a**2 + 84*a - 12.
3*(a + 2)*(15*a - 2)
Factor -2*j**4/3 - 666*j**3 + 4014*j**2 - 6030*j.
-2*j*(j - 3)**2*(j + 1005)/3
Factor 5*b**3 + 140*b**2 + 980*b.
5*b*(b + 14)**2
Factor -3*i**3 + 585*i**2 - 28224*i - 28812.
-3*(i - 98)**2*(i + 1)
Factor x**3 + 59*x**2 - x - 59.
(x - 1)*(x + 1)*(x + 59)
What is k in -2*k**2/9 - 116*k/9 + 118/9 = 0?
-59, 1
What is g in -314*g**3/7 + 1258*g**2/7 - 8*g/7 = 0?
0, 1/157, 4
What is x in 4*x**2 + 5488*x + 1882384 = 0?
-686
Factor -2*h**3/3 + 386*h**2 - 74498*h + 14378114/3.
-2*(h - 193)**3/3
Solve 9*z**5/5 + 12*z**4/5 - 843*z**3/5 + 1302*z**2/5 + 528*z/5 = 0 for z.
-11, -1/3, 0, 2, 8
Factor 4*s**3 - 792*s**2 + 52272*s - 1149984.
4*(s - 66)**3
Find l, given that -2*l**2/5 - 178*l/5 - 348/5 = 0.
-87, -2
Factor -2*n**3 + 42*n**2 + 194*n + 150.
-2*(n - 25)*(n + 1)*(n + 3)
Suppose 5*u**3 - 1790*u**2 + 158400*u + 324000 = 0. What is u?
-2, 180
Suppose 4*y**5/3 - 20*y**4/3 - 220*y**3/3 + 740*y**2/3 - 168*y = 0. Calculate y.
-7, 0, 1, 2, 9
Factor -2*i**2/7 - 302*i/7 + 2544/7.
-2*(i - 8)*(i + 159)/7
Factor 5*i**3 - 50*i**2 - 65*i + 110.
5*(i - 11)*(i - 1)*(i + 2)
Solve 4*u**4 - 12*u**2 + 8*u = 0 for u.
-2, 0, 1
What is m in 4*m**3 - 32*m**2 - 180*m - 144 = 0?
-3, -1, 12
Determine t so that 4*t**4 - 12*t**3 - 88*t**2 + 96*t = 0.
-4, 0, 1, 6
Factor h**3 - 297*h**2 - 4*h + 1188.
(h - 297)*(h - 2)*(h + 2)
Determine u so that -u**4/4 - 7*u**3/4 + 9*u**2/4 + 7*u/4 - 2 = 0.
-8, -1, 1
Solve -w**2 - 36*w - 324 = 0 for w.
-18
Factor -2*x**3/7 - 4*x**2/7 + 62*x/7 - 8.
-2*(x - 4)*(x - 1)*(x + 7)/7
Factor -3*k**2 - 84*k + 87.
-3*(k - 1)*(k + 29)
Solve g**2 + 155*g - 1134 = 0.
-162, 7
Solve m**2/5 + 2*m/5 = 0 for m.
-2, 0
Find t such that -t**3/2 + 100*t**2 + 201*t/2 = 0.
-1, 0, 201
Solve -10*s**4/3 - 4*s**3 - 2*s**2/3 = 0.
-1, -1/5, 0
Factor -v**2/3 - 13*v/3 + 608/3.
-(v - 19)*(v + 32)/3
Determine g, given that 3*g**5 + 45*g**4 - 48*g**3 = 0.
-16, 0, 1
Suppose -3*s**5 + 9*s**4 - 9*s**3 + 3*s**2 = 0. What is s?
0, 1
Find v such that -105*v**5 - 520*v**4 + 25*v**3 = 0.
-5, 0, 1/21
Factor k**4/3 + k**3 + 2*k**2/3.
k**2*(k + 1)*(k + 2)/3
Factor -4*h**3/7 - 8*h**2 - 100*h/7 - 48/7.
-4*(h + 1)**2*(h + 12)/7
Factor -3*h**4/2 + 6*h**2.
-3*h**2*(h - 2)*(h + 2)/2
What is t in -t**2/3 + 19*t/6 + 55/2 = 0?
-11/2, 15
Factor 3*z**4 - 6*z**3 - 3*z**2 + 6*z.
3*z*(z - 2)*(z - 1)*(z + 1)
What is k in -138*k**4/5 - 60*k**3 + 366*k**2/5 + 72*k/5 = 0?
-