**4 - 21*f**3 + 279*f**2 + 240*f - 900 = 0 for f.
-5, -3, 2
Factor -2*u**3/5 + 86*u**2/5 + 376*u/5.
-2*u*(u - 47)*(u + 4)/5
What is s in -s**4/11 + 20*s**3/11 + 31*s**2/11 - 218*s/11 + 168/11 = 0?
-4, 1, 2, 21
Solve 2*a**3/5 + 6*a**2 + 76*a/5 + 48/5 = 0.
-12, -2, -1
Find l, given that 2*l**2/17 + 78*l/17 + 760/17 = 0.
-20, -19
Solve -3*a**5 - 12*a**4 - 39*a**3/4 + 33*a**2/4 + 6*a - 3 = 0.
-2, -1, 1/2
Factor 324*s**4/7 + 396*s**3/7 + 76*s**2/7 + 4*s/7.
4*s*(s + 1)*(9*s + 1)**2/7
Factor -4*m**2 + 1648*m - 3280.
-4*(m - 410)*(m - 2)
Factor -3*s**2 - 7092*s - 4191372.
-3*(s + 1182)**2
Find k, given that -2*k**3/5 + 22*k**2/5 - 78*k/5 + 18 = 0.
3, 5
Solve 27*l**5 - 639*l**4 - 888*l**3 - 300*l**2 = 0 for l.
-2/3, 0, 25
Suppose 12*u**3 - 669*u**2 + 9240*u + 2352 = 0. What is u?
-1/4, 28
Factor -3*w**3 - 1278*w**2 - 1275*w.
-3*w*(w + 1)*(w + 425)
Factor -2*t**2 + 5384*t - 3623432.
-2*(t - 1346)**2
Factor -2*a**3 - 148*a**2/9 - 32*a/9.
-2*a*(a + 8)*(9*a + 2)/9
Suppose 16*x**5/3 + 5204*x**4/3 + 16804*x**3/3 + 19348*x**2/3 + 9020*x/3 + 1288/3 = 0. Calculate x.
-322, -1, -1/4
Factor 2*m**4/19 - 116*m**3/19 - 2040*m**2/19 - 10700*m/19 - 18250/19.
2*(m - 73)*(m + 5)**3/19
Find n, given that 2*n**4/7 + 38*n**3/7 - 232*n**2/7 + 192*n/7 = 0.
-24, 0, 1, 4
What is p in 3*p**3 - 18*p**2 + 27*p - 12 = 0?
1, 4
Factor 2*h**4/3 + 32*h**3 + 540*h**2 + 3600*h + 6750.
2*(h + 3)*(h + 15)**3/3
Solve -2*o**4/15 + 6*o**3 - 562*o**2/15 + 386*o/5 - 228/5 = 0.
1, 3, 38
Determine h, given that -5*h**3 - 590*h**2 - 14080*h + 204800 = 0.
-64, 10
Factor -2*l**4 + 8*l**3 + 4*l**2 - 24*l - 18.
-2*(l - 3)**2*(l + 1)**2
Factor -2*h**4/3 + 18*h**3 + 748*h**2 - 91960*h/3 + 276848.
-2*(h - 22)**3*(h + 39)/3
What is d in 16*d**5 - 100*d**4 + 232*d**3 - 244*d**2 + 112*d - 16 = 0?
1/4, 1, 2
Factor 2*s**4 - 66*s**3 + 62*s**2 + 66*s - 64.
2*(s - 32)*(s - 1)**2*(s + 1)
Factor 2*z**5/3 - 56*z**4 + 1334*z**3 - 20140*z**2/3 + 12584*z - 8112.
2*(z - 39)**2*(z - 2)**3/3
Factor -5*i**3 + 140*i**2 - 900*i.
-5*i*(i - 18)*(i - 10)
Factor 2*n**4/13 + 60*n**3/13 - 128*n**2/13.
2*n**2*(n - 2)*(n + 32)/13
Let 2*h**3 + 35*h**2/2 + 63*h/2 - 9 = 0. Calculate h.
-6, -3, 1/4
Factor 3*m**3 - 147*m**2 + 420*m - 276.
3*(m - 46)*(m - 2)*(m - 1)
Factor 2*x**2/5 + 5148*x/5 + 3312738/5.
2*(x + 1287)**2/5
Solve -5*c**3 - 130*c**2 - 1045*c - 2420 = 0.
-11, -4
Solve -3*g**4 - 24*g**3 - 39*g**2 - 18*g = 0.
-6, -1, 0
Determine t so that -3*t**5 + 34*t**4 - 87*t**3 - 56*t**2 + 180*t + 112 = 0.
-1, -2/3, 2, 4, 7
Factor -4*l**2/9 + 23416*l/9 - 34269316/9.
-4*(l - 2927)**2/9
Solve -4*d**5 - 64*d**4 - 188*d**3 + 64*d**2 + 192*d = 0 for d.
-12, -4, -1, 0, 1
Solve 9*h**5/7 - 156*h**4/7 - 288*h**3/7 + 6*h**2 + 279*h/7 + 114/7 = 0.
-1, -2/3, 1, 19
Find n such that 5*n**3 + 25*n**2 - 65*n + 35 = 0.
-7, 1
Let w**4/8 + 9*w**3/8 - 185*w**2/8 + 675*w/8 - 125/2 = 0. What is w?
-20, 1, 5
Suppose -4*n**5 + 160*n**4 - 144*n**3 - 472*n**2 + 148*n + 312 = 0. Calculate n.
-1, 1, 2, 39
Let 2*o**4/15 - 24*o**3/5 - 32*o**2 - 992*o/15 - 224/5 = 0. What is o?
-2, 42
Find f, given that -3*f**2/7 - 48*f/7 - 165/7 = 0.
-11, -5
Let -2*i**4 + 324*i**3 - 13754*i**2 + 51192*i - 49928 = 0. Calculate i.
2, 79
Suppose -2*y**4 + 22*y**3 - 60*y**2 - 64*y + 320 = 0. What is y?
-2, 4, 5
What is b in -75*b**4 - 42615*b**3 + 34128*b**2 - 6828*b = 0?
-569, 0, 2/5
Determine a, given that 3*a**4 - 120*a**3 + 114*a**2 + 120*a - 117 = 0.
-1, 1, 39
Let u**4 + 21*u**3 - 1007*u**2 + 6747*u + 7774 = 0. Calculate u.
-46, -1, 13
Factor -2*u**5 - 162*u**4 - 160*u**3.
-2*u**3*(u + 1)*(u + 80)
Solve -5*v**5 - 40*v**4 - 90*v**3 - 20*v**2 + 95*v + 60 = 0 for v.
-4, -3, -1, 1
Solve -2*r**3/9 - 14*r**2/9 + 52*r/9 + 16 = 0 for r.
-9, -2, 4
Let -4*b**5/7 - 1342*b**4/7 - 116170*b**3/7 - 602250*b**2/7 - 272250*b/7 = 0. What is b?
-165, -5, -1/2, 0
Factor -2*z**2 + 930*z - 928.
-2*(z - 464)*(z - 1)
Determine x so that 2*x**2 - 26*x + 60 = 0.
3, 10
Factor -4*b**2 - 60*b - 104.
-4*(b + 2)*(b + 13)
Factor -w**4/4 - 41*w**3/2 - 303*w**2 + 4922*w - 8464.
-(w - 8)*(w - 2)*(w + 46)**2/4
Let 2*d**3/3 + 28*d**2/3 + 86*d/3 + 20 = 0. What is d?
-10, -3, -1
Factor -3*s**5/4 - 6*s**4 - 75*s**3/4 - 57*s**2/2 - 21*s - 6.
-3*(s + 1)**2*(s + 2)**3/4
Factor 16*j**3 + 420*j**2 - 792*j - 224.
4*(j - 2)*(j + 28)*(4*j + 1)
Determine c, given that -21*c**5 - 50*c**4 + 226*c**3 - 228*c**2 + 83*c - 10 = 0.
-5, 2/7, 1/3, 1
Suppose 4*n**4 - 200*n**3 = 0. Calculate n.
0, 50
Factor -2*q**2/5 - 20*q.
-2*q*(q + 50)/5
Factor -9*u**3 - 47*u**2 - 64*u - 12.
-(u + 2)*(u + 3)*(9*u + 2)
Suppose 5*y**4 + 50*y**3 - 20*y**2 - 200*y = 0. What is y?
-10, -2, 0, 2
Suppose -2*w**2 + 6*w = 0. What is w?
0, 3
What is b in 7*b**5 - 12*b**4 - 4*b**3 = 0?
-2/7, 0, 2
What is b in -b**3/3 + 5*b**2/3 + 12*b = 0?
-4, 0, 9
Solve 2*v**4/7 - 26*v**3/7 + 58*v**2/7 + 26*v/7 - 60/7 = 0.
-1, 1, 3, 10
Find o such that -3*o**3/2 + 105*o**2/2 + 3*o/2 - 105/2 = 0.
-1, 1, 35
Factor g**3/3 - 2221*g**2/3 + 6656*g/3 - 4436/3.
(g - 2218)*(g - 2)*(g - 1)/3
Factor -2*k**2/7 - 54*k/7 + 116/7.
-2*(k - 2)*(k + 29)/7
Let -g**4/8 + 3*g**3/8 + 4*g**2 + 15*g/2 + 4 = 0. What is g?
-2, -1, 8
Suppose -2*s**4 - 11*s**3 + 21*s**2 - s - 7 = 0. What is s?
-7, -1/2, 1
Factor -20*m**3 + 904*m**2 + 5940*m - 1224.
-4*(m - 51)*(m + 6)*(5*m - 1)
Factor k**2 - 14*k - 32.
(k - 16)*(k + 2)
Factor 4*u**2/3 - 100*u/3 - 72.
4*(u - 27)*(u + 2)/3
Let h**3/4 + 11*h**2/4 + 13*h/2 + 4 = 0. What is h?
-8, -2, -1
Determine g, given that -g**2/4 + 553*g/2 + 554 = 0.
-2, 1108
Solve 2*q**2 + 314*q + 924 = 0.
-154, -3
Find t such that -t**5/4 + 71*t**4/4 - 391*t**3/4 + 41*t**2/4 + 386*t + 260 = 0.
-1, 4, 65
Solve -3*n**4/2 - 67*n**3/4 + 163*n**2/4 + 263*n/4 + 39/4 = 0 for n.
-13, -1, -1/6, 3
Find y such that -5*y**3 - 105*y**2 - 100*y = 0.
-20, -1, 0
Determine w, given that -2*w**5 - 4*w**4 - 2*w**3 = 0.
-1, 0
What is a in -2*a**5/5 + 344*a**4/5 - 17632*a**3/5 + 46208*a**2 = 0?
0, 20, 76
Factor -2*o**2/7 + 2984*o/7 - 426.
-2*(o - 1491)*(o - 1)/7
Determine t so that -t**2 + 316*t - 24964 = 0.
158
Factor -14*w**2/17 - 654*w/17 + 188/17.
-2*(w + 47)*(7*w - 2)/17
Solve -5*v**3 - 5*v**2 + 85*v - 75 = 0.
-5, 1, 3
Solve -4*v**5 + 32*v**4 - 48*v**3 = 0 for v.
0, 2, 6
Solve -4*w**3/9 - 4*w**2/9 + 16*w/9 + 16/9 = 0 for w.
-2, -1, 2
Determine b, given that 2*b**5/3 - 40*b**4/3 + 130*b**3/3 + 340*b**2/3 - 184*b - 240 = 0.
-2, -1, 2, 6, 15
Solve -q**2/2 + 185*q - 34225/2 = 0 for q.
185
Factor 2*v**5/3 + 12*v**4.
2*v**4*(v + 18)/3
Factor -12*h**4 + 112*h**3 - 112*h**2 - 128*h.
-4*h*(h - 8)*(h - 2)*(3*h + 2)
Determine v so that 5*v**3/4 - 235*v**2/4 + 660*v + 720 = 0.
-1, 24
Factor -3*c**2/7 - 60*c + 5967/7.
-3*(c - 13)*(c + 153)/7
Factor z**3/11 + 92*z**2/11 + 525*z/11 + 774/11.
(z + 3)**2*(z + 86)/11
Find t such that 4*t**2 + 36*t + 72 = 0.
-6, -3
Suppose -510*n**3 - 413*n**2 - 428*n/5 - 4/5 = 0. What is n?
-2/5, -1/102
What is g in -4*g**3 - 28*g**2 + 72*g = 0?
-9, 0, 2
Solve -o**3/6 - 37*o**2 - 147*o/2 - 110/3 = 0 for o.
-220, -1
Determine h so that -h**5/3 - 20*h**4/3 - 73*h**3/3 + 322*h**2/3 + 308*h/3 - 968/3 = 0.
-11, -2, 2
Factor -2*v**3 + 3358*v**2 - 1411198*v + 1407842.
-2*(v - 839)**2*(v - 1)
Determine y so that -4*y**3 + 45*y**2 - 11*y = 0.
0, 1/4, 11
Suppose 4*p**5/9 + 22*p**4/9 - 2*p**3 - 34*p**2/9 + 14*p/9 + 4/3 = 0. What is p?
-6, -1, -1/2, 1
Factor 90*g**3 + 89*g**2 - g.
g*(g + 1)*(90*g - 1)
Suppose 3*g**3/2 - 57*g**2/2 + 114*g - 126 = 0. What is g?
2, 3, 14
Factor -c**3 - 5*c**2 - 6*c.
-c*(c + 2)*(c + 3)
Factor k**3 - 304*k**2 + 23104*k.
k*(k - 152)**2
Let -135*h**3 + 11755*h**2 - 12480*h + 860 = 0. Calculate h.
2/27, 1, 86
Factor -400*h**3 - 80*h**2 - 4*h.
-4*h*(10*h + 1)**2
Find g, given that g**5/2 - 4*g**3 - 3*g**2 + 7*g/2 + 3 = 0.
-2, -1, 1, 3
Let 3*j**3/2 + 129*j**2/2 - 66*j = 0. What is j?
-44, 0, 1
Find c such that -c**4 + 42*c**3 + 43*c**2 = 0.
-1, 0, 43
Factor -3*u**3 - 3866*u**2 + 1289*u.
-u*(u + 1289)*(3*u - 1)
Find a such that 2*a**5/9 - 2*a**4/9 - 10*a**3/9 + 10*a**2/9 + 8*a/9 - 8/9 = 0.
-2, -1, 1, 2
Solve -3*d**3/2 + 21*d**2 - 153*d/2 + 81 = 0.
2, 3, 9
Factor 3*k**3/2 + 9*k**2 - 60*k.
3*k*(k - 4)*(k + 10)/2
Factor -h**2/4 - 25*h/4 + 13/2.
-(h - 1)*(h + 26)/4
Factor -192*q**4 + 624*q**3 - 756*q**2 + 405*q - 81.
-3*(q - 1)*(4*q - 3)**3
Factor 4*y**3 - 16*y**2 - 12*y + 72.