t -2*v**2/9 + 20*v/9 + 22/9 = 0.
-1, 11
Determine s, given that 2*s**5/3 - 28*s**4 - 4*s**3/3 + 56*s**2 + 2*s/3 - 28 = 0.
-1, 1, 42
Find f, given that f**4 + 32*f**3 + 143*f**2 + 220*f + 108 = 0.
-27, -2, -1
Factor 2*n**4 + 58*n**3 + 448*n**2 + 392*n.
2*n*(n + 1)*(n + 14)**2
Suppose -o**2/2 - 11*o + 24 = 0. Calculate o.
-24, 2
Find k such that -k**4 - 47*k**3 - 41*k**2 + 227*k - 138 = 0.
-46, -3, 1
Factor -2*n**4 - 2*n**3 + 4*n**2.
-2*n**2*(n - 1)*(n + 2)
Factor -4*j**4 + 44*j**3 - 152*j**2 + 160*j.
-4*j*(j - 5)*(j - 4)*(j - 2)
Let 5*h**4 - 35*h**3 - 5*h**2 + 35*h = 0. What is h?
-1, 0, 1, 7
What is j in 36*j**2 - 112*j + 80 = 0?
10/9, 2
Factor 2*b**5/11 - 56*b**4/11 + 282*b**3/11 - 36*b**2.
2*b**2*(b - 22)*(b - 3)**2/11
Find k, given that -245*k**4 - 420*k**3 + 800*k**2 + 1680*k + 720 = 0.
-2, -6/7, 2
Factor 3*p**3 - 147*p**2 + 1725*p + 1875.
3*(p - 25)**2*(p + 1)
Factor a**5 + 13*a**4 + 35*a**3 - 49*a**2.
a**2*(a - 1)*(a + 7)**2
Factor h**2 + 11*h.
h*(h + 11)
Let -y**3 - 18*y**2 - 51*y + 182 = 0. What is y?
-13, -7, 2
Factor -d**2/2 + 8*d.
-d*(d - 16)/2
Determine h so that -2*h**4/3 + 392*h**3/3 - 9604*h**2 + 941192*h/3 - 11529602/3 = 0.
49
Factor 2*g**4/13 + 12*g**3/13 + 22*g**2/13 + 12*g/13.
2*g*(g + 1)*(g + 2)*(g + 3)/13
Let -10*k**4 + 331*k**3/2 - 894*k**2 + 1494*k + 432 = 0. What is k?
-1/4, 24/5, 6
Let 3*x**2/2 + 3249*x/2 - 3255 = 0. Calculate x.
-1085, 2
Let 3*r**5/5 - 9*r**4/5 - 18*r**3/5 + 84*r**2/5 - 72*r/5 = 0. What is r?
-3, 0, 2
Find o such that -2*o**2 - 129*o/2 - 16 = 0.
-32, -1/4
Factor -3*v**3 - 27*v**2 - 78*v - 72.
-3*(v + 2)*(v + 3)*(v + 4)
Solve -2*n**2/11 + 1282*n/11 + 1284/11 = 0.
-1, 642
Factor 5*n**2 - 1400*n + 98000.
5*(n - 140)**2
Factor p**3 - 43*p**2/2 + 95*p/2.
p*(p - 19)*(2*p - 5)/2
Suppose 3*a**4 + 21*a**3 - 27*a**2 - 21*a + 24 = 0. Calculate a.
-8, -1, 1
Factor -2*u**3/7 - 188*u**2/7 - 898*u/7 - 712/7.
-2*(u + 1)*(u + 4)*(u + 89)/7
Let 118*c**4/13 + 240*c**3/13 + 8*c**2/13 = 0. Calculate c.
-2, -2/59, 0
Solve 2*l**5 - 1062*l**4 + 211204*l**3 - 18608828*l**2 + 606980346*l + 625801442 = 0.
-1, 133
Determine i, given that i**4 - 222*i**3/7 - 1597*i**2/7 - 2832*i/7 - 684/7 = 0.
-3, -2/7, 38
Factor -2*z**3/7 - 8*z**2/7 + 64*z/7.
-2*z*(z - 4)*(z + 8)/7
Factor -2*o**2/7 + 96*o + 674/7.
-2*(o - 337)*(o + 1)/7
Factor -5*y**4 - 9100*y**3 - 6210750*y**2 - 1883927500*y - 214296753125.
-5*(y + 455)**4
Find f such that f**3 + 29*f**2 - 4*f - 116 = 0.
-29, -2, 2
Factor -4*p**2 + 192*p - 2304.
-4*(p - 24)**2
Determine r so that r**2 - 128*r = 0.
0, 128
Factor d**2/3 - 9*d + 92/3.
(d - 23)*(d - 4)/3
Factor -a**4 + 24*a**3 - 22*a**2 - 24*a + 23.
-(a - 23)*(a - 1)**2*(a + 1)
Let b**2/4 + 11*b/2 - 23/4 = 0. What is b?
-23, 1
Solve -5*d**2 - 480*d - 4675 = 0.
-85, -11
Factor 5*n**4 + 970*n**3 + 48005*n**2 + 93120*n + 46080.
5*(n + 1)**2*(n + 96)**2
Determine s, given that 35*s**4 - 150*s**3 + 215*s**2 - 120*s + 20 = 0.
2/7, 1, 2
Suppose 2*s**3 - 9*s**2 - 32*s - 21 = 0. What is s?
-3/2, -1, 7
Suppose -3*f**4/5 - 3*f**3 - 3*f**2/5 + 63*f/5 + 54/5 = 0. Calculate f.
-3, -1, 2
Find q, given that 2*q**4 - 14*q**3 + 16*q**2 + 32*q = 0.
-1, 0, 4
Suppose d**5/2 - 12*d**4 + 22*d**3 = 0. Calculate d.
0, 2, 22
Suppose s**4/4 - 9*s**3 + 55*s**2/4 + 108*s + 85 = 0. Calculate s.
-2, -1, 5, 34
Find b such that 2*b**5/13 + 2*b**4 - 14*b**3/13 - 434*b**2/13 + 324*b/13 + 720/13 = 0.
-12, -5, -1, 2, 3
Determine q so that -3*q**2 + 306*q + 624 = 0.
-2, 104
What is q in 5*q**4/3 + 1740*q**3 + 681210*q**2 + 118530540*q + 7734117735 = 0?
-261
Factor 2*k**2 + 12*k - 54.
2*(k - 3)*(k + 9)
Let -j**2/2 - 6970*j - 24290450 = 0. Calculate j.
-6970
Determine k so that -k**2 + 21*k + 100 = 0.
-4, 25
What is a in 2*a**3/11 - 24*a/11 - 32/11 = 0?
-2, 4
Factor 2*w**2/13 - 392*w/13 + 19208/13.
2*(w - 98)**2/13
Suppose d**2/5 - 3*d/5 - 4/5 = 0. Calculate d.
-1, 4
Factor 2*n**4/9 + 32*n**3/9 + 148*n**2/9 + 112*n/9 - 98/3.
2*(n - 1)*(n + 3)*(n + 7)**2/9
Factor 2*k**3 - 4734*k**2 - 9476*k.
2*k*(k - 2369)*(k + 2)
Factor -225*i**3/2 + 1380*i**2 - 362*i + 24.
-(i - 12)*(15*i - 2)**2/2
Factor -b**2/5 - 28*b - 980.
-(b + 70)**2/5
What is j in 2*j**2 - 68*j + 416 = 0?
8, 26
Factor o**4/3 - 4*o**3/3 - 5*o**2 + 6*o.
o*(o - 6)*(o - 1)*(o + 3)/3
Factor -3*g**5/8 - 9*g**4/8 + 3*g**2/2.
-3*g**2*(g - 1)*(g + 2)**2/8
Factor -19*d**3/6 - 8*d**2/3 + d/2.
-d*(d + 1)*(19*d - 3)/6
What is g in -2*g**3/9 + 272*g**2/9 - 9248*g/9 = 0?
0, 68
Let 2*k**3/3 - 4*k**2 + 64/3 = 0. What is k?
-2, 4
Determine g so that -4*g**2 - 132*g + 432 = 0.
-36, 3
Factor -23*z**2/3 - 200*z - 52/3.
-(z + 26)*(23*z + 2)/3
Factor 4*h**5 - 40*h**4 + 156*h**3 - 296*h**2 + 272*h - 96.
4*(h - 3)*(h - 2)**3*(h - 1)
Factor -2*l**3 - 442*l**2 - 1308*l.
-2*l*(l + 3)*(l + 218)
Find p, given that -5*p**5 + 5*p**4 + 30*p**3 - 70*p**2 + 55*p - 15 = 0.
-3, 1
Factor 21*b**3/5 + 2460*b**2 + 1799313*b/5 - 515094/5.
3*(b + 293)**2*(7*b - 2)/5
Factor -4*x**3/5 - 68*x**2/5 - 284*x/5 - 44.
-4*(x + 1)*(x + 5)*(x + 11)/5
Factor -3*t**2/2 - 33*t - 363/2.
-3*(t + 11)**2/2
Factor y**4/2 + 13*y**3/2 + 23*y**2/2 + 11*y/2.
y*(y + 1)**2*(y + 11)/2
Let -3*t**5/4 + 5*t**4/2 - t**3/4 - 3*t**2/2 = 0. What is t?
-2/3, 0, 1, 3
Find g such that g**3/7 + 108*g**2/7 + 213*g/7 + 106/7 = 0.
-106, -1
Factor -25*q**2 + 1340*q + 540.
-5*(q - 54)*(5*q + 2)
Factor -2*a**2 - 8*a + 10.
-2*(a - 1)*(a + 5)
Solve 2*b**4 + 2*b**3 = 0 for b.
-1, 0
Factor 11*f**3/5 + 23*f**2/5 + 13*f/5 + 1/5.
(f + 1)**2*(11*f + 1)/5
Let -4*l**3/7 + 24*l**2 - 156*l/7 - 328/7 = 0. What is l?
-1, 2, 41
Factor -2*n**2 - 36*n - 34.
-2*(n + 1)*(n + 17)
Factor -3*u**4 + 258*u**3 - 5799*u**2 + 10836*u - 5292.
-3*(u - 42)**2*(u - 1)**2
What is j in 2*j**5/15 - 88*j**4/3 + 872*j**3/15 = 0?
0, 2, 218
Suppose -5*z**4 + 785*z**3 + 795*z**2 - 785*z - 790 = 0. What is z?
-1, 1, 158
Determine x so that -2*x**4/9 + 28*x**3/3 - 320*x**2/3 + 1600*x/9 = 0.
0, 2, 20
Factor 2*s**2 - 48*s - 1394.
2*(s - 41)*(s + 17)
Let -3*s**3 + 471*s**2 - 1392*s + 924 = 0. Calculate s.
1, 2, 154
Factor -w**2/4 - 27*w - 107/4.
-(w + 1)*(w + 107)/4
Suppose 3*q**2/2 - 27*q/2 + 30 = 0. What is q?
4, 5
Solve 2*v**3/17 + 12*v**2/17 - 38*v/17 - 168/17 = 0.
-7, -3, 4
Solve -r**3 - 6208*r**2 - 9634816*r = 0 for r.
-3104, 0
Factor 2*f**5 + 12*f**4 - 24*f**3 - 76*f**2 - 42*f.
2*f*(f - 3)*(f + 1)**2*(f + 7)
Find v such that -49*v**5/3 + 1001*v**4/3 - 4267*v**3/3 + 1309*v**2 + 1128*v + 180 = 0.
-2/7, 3, 15
Factor 5*v**2 - 120*v + 220.
5*(v - 22)*(v - 2)
What is u in u**2 - 636*u + 101124 = 0?
318
What is t in t**5/3 - 362*t**4/3 + 32761*t**3/3 = 0?
0, 181
Determine a so that 2*a**2/5 - 104*a/5 + 1352/5 = 0.
26
Factor -h**3 + 12*h**2 - 48*h + 64.
-(h - 4)**3
Factor -w**3/4 - 7*w**2/4 - 3*w/2.
-w*(w + 1)*(w + 6)/4
Factor -5*l**4 + 105*l**3 + 115*l**2 - 105*l - 110.
-5*(l - 22)*(l - 1)*(l + 1)**2
Factor 2*p**3/9 + 2*p**2 + 4*p/3 - 32/9.
2*(p - 1)*(p + 2)*(p + 8)/9
Factor 4*w**5 - 24*w**3 + 32*w**2 - 12*w.
4*w*(w - 1)**3*(w + 3)
Let s**4 - 7*s**3 - 28*s**2 - 20*s = 0. What is s?
-2, -1, 0, 10
Factor -15*v**2 + 110*v - 35.
-5*(v - 7)*(3*v - 1)
Solve -m**5 + 109*m**4/2 - 756*m**3 + 729*m**2/2 = 0.
0, 1/2, 27
Factor -x**4/3 - x**3/3 + 5*x**2/3 - x.
-x*(x - 1)**2*(x + 3)/3
What is o in -5*o**5 + 30*o**4 - 5*o**3 - 120*o**2 - 80*o = 0?
-1, 0, 4
What is b in b**4 + 6*b**3 - 7*b**2 = 0?
-7, 0, 1
Let -20*n**4 + 16*n**3 + 24*n**2 - 16*n - 4 = 0. Calculate n.
-1, -1/5, 1
Find v, given that 4*v**4 - 8*v**3 - 4*v**2 + 8*v = 0.
-1, 0, 1, 2
Find a such that 5*a**5 + 1005*a**4 + 53910*a**3 + 343910*a**2 + 714405*a + 423405 = 0.
-97, -3, -1
Suppose -o**2 + 418*o - 43681 = 0. What is o?
209
Solve 2*g**3/17 - 570*g**2/17 + 4464*g/17 - 8864/17 = 0.
4, 277
Suppose -100*s**2 - 2760*s - 19044 = 0. What is s?
-69/5
Find c, given that 2*c**2 - 30*c - 728 = 0.
-13, 28
Factor 3*b**2/5 - 3*b/5 - 36/5.
3*(b - 4)*(b + 3)/5
Factor u**3 - 6*u**2.
u**2*(u - 6)
Factor -5*x**3/4 + 39*x**2/2 - 27*x - 14.
-(x - 14)*(x - 2)*(5*x + 2)/4
Determine c, given that -10*c**5 - 24*c**4 - 8*c**3 + 20*c**2 + 18*c + 4 = 0.
-1, -2/5, 1
Let 4*g**4 + 148*g**3 + 1908*g**2 + 9548*g + 12584 = 0. What is g?
-13, -11, -2
What is h in -5*h**3 + 85*h**2 + 400*h + 420 = 0?
-2, 21
Find o, given that 24*o**5 + 172*o**4 + 388*o**3 + 372*o**2 + 148*o + 16 = 0.
-4, -1, -1/6
Let 2*j**3 + 32*j**2 