*2 - 144*k - 192 = 0.
-4
Solve -k**3 + 19*k**2 + 20*k = 0 for k.
-1, 0, 20
Factor 2*o**3/3 - 46*o**2/3 - 214*o - 198.
2*(o - 33)*(o + 1)*(o + 9)/3
Factor 4*x**2 + 252*x + 248.
4*(x + 1)*(x + 62)
Determine w, given that -3*w**4/2 + 18*w**3 + 87*w**2/2 - 18*w - 42 = 0.
-2, -1, 1, 14
Factor -5*r**2 + 35*r + 90.
-5*(r - 9)*(r + 2)
Factor 3*j**2 - 120*j + 1200.
3*(j - 20)**2
Suppose -5*g**4 - 90*g**3 - 485*g**2 - 720*g - 320 = 0. Calculate g.
-8, -1
Solve 3*j**2 - 492*j - 495 = 0 for j.
-1, 165
Find i such that 3*i**5 - 5*i**4 - 7*i**3 + 21*i**2 - 16*i + 4 = 0.
-2, 2/3, 1
Suppose 3*s**3/4 - 9*s**2/2 + 15*s/4 = 0. What is s?
0, 1, 5
Find i, given that -4*i**2 - 96*i + 720 = 0.
-30, 6
Find d such that -2*d**3/3 + 1874*d**2/3 - 3742*d/3 + 1870/3 = 0.
1, 935
What is a in 3*a**2 - 801*a + 798 = 0?
1, 266
Factor p**2 - 21*p.
p*(p - 21)
Factor 3*t**3 - 234*t**2 + 681*t - 450.
3*(t - 75)*(t - 2)*(t - 1)
Find t such that -4*t**4/9 - 70*t**3/9 + 2*t**2/3 + 304*t - 672 = 0.
-12, 3, 7/2
Factor -2*k**2 - 244*k + 246.
-2*(k - 1)*(k + 123)
Suppose -4*z**4 + 12*z**3 + 28*z**2 - 60*z - 72 = 0. Calculate z.
-2, -1, 3
Factor 2*g**4 - 4*g**3 - 2*g**2 + 4*g.
2*g*(g - 2)*(g - 1)*(g + 1)
Suppose -4*u**5 - 12*u**4 + 20*u**3 + 12*u**2 - 16*u = 0. What is u?
-4, -1, 0, 1
Factor -28*t**3 + 372*t**2 - 104*t.
-4*t*(t - 13)*(7*t - 2)
Let -z**4 + 14*z**3 - 13*z**2 - 252*z - 324 = 0. Calculate z.
-2, 9
Factor -4*x**3/5 - 64*x**2/5 - 52*x - 40.
-4*(x + 1)*(x + 5)*(x + 10)/5
Factor -2*c**3/3 + 4*c**2/3 + 2*c.
-2*c*(c - 3)*(c + 1)/3
Find f such that f**4 + 8*f**3 + 9*f**2 - 18*f = 0.
-6, -3, 0, 1
Let -2*f**5 - 16*f**4 + 2*f**3 + 16*f**2 = 0. Calculate f.
-8, -1, 0, 1
Find m, given that 4*m**4 - 84*m**3 + 352*m**2 - 528*m + 256 = 0.
1, 2, 16
Find w, given that -6*w**5/19 + 22*w**4/19 - 6*w**3/19 - 22*w**2/19 + 12*w/19 = 0.
-1, 0, 2/3, 1, 3
Suppose -5*a**2 - 20*a + 1980 = 0. Calculate a.
-22, 18
Determine x, given that -3*x**3 + 12*x = 0.
-2, 0, 2
Factor -6097250*x**3 + 252300*x**2 - 3480*x + 16.
-2*(145*x - 2)**3
Find k such that -45*k**5 - 1020*k**4 - 620*k**3 + 910*k**2 + 665*k + 110 = 0.
-22, -1, -1/3, 1
Factor 4*v**3/7 + 12*v**2/7 - 16/7.
4*(v - 1)*(v + 2)**2/7
Determine f so that 2*f**5 + 38*f**4/3 + 28*f**3 + 28*f**2 + 38*f/3 + 2 = 0.
-3, -1, -1/3
Factor b**5/3 - b**4/3 - b**3 + 5*b**2/3 - 2*b/3.
b*(b - 1)**3*(b + 2)/3
Let -2*g**3 + 1314*g**2 - 7830*g + 11718 = 0. What is g?
3, 651
Factor 2*v**2/23 + 4*v/23 - 16/23.
2*(v - 2)*(v + 4)/23
Factor v**2/8 - 13*v + 338.
(v - 52)**2/8
Determine a, given that 5*a**5 - 1200*a**4 - 3630*a**3 - 3640*a**2 - 1215*a = 0.
-1, 0, 243
Determine o so that -245*o**5 - 700*o**4 + 1495*o**3 + 1590*o**2 + 360*o = 0.
-4, -3/7, 0, 2
Find u, given that 4*u**5 - 12*u**4 - 20*u**3 + 12*u**2 + 16*u = 0.
-1, 0, 1, 4
Solve -8*x**5 - 14*x**4 - 4*x**3 + 2*x**2 = 0 for x.
-1, 0, 1/4
What is x in -x**3 + 957*x**2 - 305283*x + 32461759 = 0?
319
Suppose 3*w**5 + 24*w**4 - 1149*w**3 - 15942*w**2 - 49452*w - 44616 = 0. Calculate w.
-13, -2, 22
Determine v so that -3*v**2 + 2826*v - 665523 = 0.
471
Suppose -c**3/6 + c**2/6 + 85*c/6 + 275/6 = 0. What is c?
-5, 11
Factor -4*k**4 - 36*k**3 + 160*k**2 + 192*k.
-4*k*(k - 4)*(k + 1)*(k + 12)
Determine d so that -6*d**2 + 315*d + 159 = 0.
-1/2, 53
Factor 4*d**5/5 - 4*d**4/5 - 84*d**3/5 - 188*d**2/5 - 32*d - 48/5.
4*(d - 6)*(d + 1)**3*(d + 2)/5
Solve 39*d**5/7 + 12*d**4 - 27*d**3/7 - 12*d**2 - 12*d/7 = 0.
-2, -1, -2/13, 0, 1
Factor 2*d**2 - 8*d + 6.
2*(d - 3)*(d - 1)
Find j such that 20*j**4/7 + 38*j**3/7 - 64*j**2/7 + 6*j/7 = 0.
-3, 0, 1/10, 1
Factor -3*t**2 + 3504*t - 1023168.
-3*(t - 584)**2
Suppose -5*b**3 + 1010*b**2 - 47840*b - 324480 = 0. Calculate b.
-6, 104
Factor -2*t**2/13 + 2*t + 60/13.
-2*(t - 15)*(t + 2)/13
Determine a, given that 147*a**4 + 2289*a**3 + 3330*a**2 + 1356*a + 168 = 0.
-14, -1, -2/7
Determine w so that w**3 - 95*w**2 + 367*w - 273 = 0.
1, 3, 91
What is r in 3*r**5/2 - 327*r**4/2 + 2697*r**3/2 + 327*r**2/2 - 1350*r = 0?
-1, 0, 1, 9, 100
Determine a so that -a**3/6 - a**2/6 + 65*a/6 - 21/2 = 0.
-9, 1, 7
Solve 16*y**5 + 36*y**4 - 8*y**3 - 36*y**2 - 8*y = 0 for y.
-2, -1, -1/4, 0, 1
Factor -20*k**3 - 45*k**2 + 50*k + 15.
-5*(k - 1)*(k + 3)*(4*k + 1)
Find x such that -4*x**3/3 + 296*x**2/3 = 0.
0, 74
Factor 4*u**2 + 164*u - 528.
4*(u - 3)*(u + 44)
Factor 2*d**3/11 - 4*d**2/11 - 2*d/11 + 4/11.
2*(d - 2)*(d - 1)*(d + 1)/11
Let -3*y**3 - 66*y**2 - 63*y = 0. What is y?
-21, -1, 0
Suppose -2*n**4 - 72*n**3 - 708*n**2 - 952*n + 1734 = 0. Calculate n.
-17, -3, 1
Determine i, given that -5*i**2 - 2355*i + 2360 = 0.
-472, 1
Suppose -3*t**4 + 81*t**3 + 480*t**2 = 0. Calculate t.
-5, 0, 32
Find o, given that 3*o**3 + 72*o**2 - 75*o = 0.
-25, 0, 1
Find z, given that 2*z**4/19 + 72*z**3/19 + 202*z**2/19 + 132*z/19 = 0.
-33, -2, -1, 0
Factor -5*p**2 + 180*p - 1620.
-5*(p - 18)**2
Factor 3*w**3 + 948*w**2 - 957*w - 1902.
3*(w - 2)*(w + 1)*(w + 317)
Factor -4*n**3/5 - 2400*n**2 - 8987988*n/5 + 18024008/5.
-4*(n - 2)*(n + 1501)**2/5
Factor 4*s**4/7 - 32*s**3 + 4416*s**2/7 - 5120*s + 102400/7.
4*(s - 20)**2*(s - 8)**2/7
Determine g so that -4*g**3 - 1328*g**2 - 3956*g - 2632 = 0.
-329, -2, -1
Factor -f**5/8 - 75*f**4/8 + 197*f**3/4 - 121*f**2/2 - 39*f + 80.
-(f - 2)**3*(f + 1)*(f + 80)/8
Factor -s**2/2 - 7*s + 16.
-(s - 2)*(s + 16)/2
Find v such that -3*v**5 - 159*v**4/7 + 282*v**3/7 + 78*v**2/7 - 261*v/7 + 81/7 = 0.
-9, -1, 3/7, 1
Suppose -l**2/2 + 166*l + 333/2 = 0. What is l?
-1, 333
Determine d, given that -3*d**2 + 561*d + 1134 = 0.
-2, 189
Let -4*k**2 - 48*k - 80 = 0. Calculate k.
-10, -2
Factor 2*t**4/5 + 228*t**3/5 + 226*t**2/5.
2*t**2*(t + 1)*(t + 113)/5
Factor 5*f**2 + 264*f - 53.
(f + 53)*(5*f - 1)
Factor -3*l**5/7 - 45*l**4/7 - 6*l**3.
-3*l**3*(l + 1)*(l + 14)/7
Factor 2*m**3 + 670*m**2 + 1334*m + 666.
2*(m + 1)**2*(m + 333)
Let -4*s**4 - 10*s**3/7 + 4*s**2 + 10*s/7 = 0. Calculate s.
-1, -5/14, 0, 1
Suppose -5*n**5 - 30*n**4 - 20*n**3 + 120*n**2 + 160*n = 0. What is n?
-4, -2, 0, 2
Let 100*m**2/3 - 760*m/3 + 1444/3 = 0. Calculate m.
19/5
Factor -560*y**4 + 290*y**3 - 5*y**2.
-5*y**2*(2*y - 1)*(56*y - 1)
Suppose -12*k**5/5 - 6*k**4/5 + 48*k**3/5 + 24*k**2/5 = 0. What is k?
-2, -1/2, 0, 2
What is z in -2*z**5 + 140*z**4 - 3422*z**3 + 32252*z**2 - 70664*z - 106480 = 0?
-1, 5, 22
Factor 3*o**2 + 66*o.
3*o*(o + 22)
Factor 4*c**2 - 4*c - 24.
4*(c - 3)*(c + 2)
Solve -2*b**4/11 - 4*b**3/11 + 24*b**2/11 + 16*b/11 - 64/11 = 0 for b.
-4, -2, 2
Find d, given that -d**5/5 - 21*d**4/5 - 103*d**3/5 - 207*d**2/5 - 184*d/5 - 12 = 0.
-15, -2, -1
Let -k**4/7 - 32*k**3/7 - 246*k**2/7 + 32*k/7 + 247/7 = 0. What is k?
-19, -13, -1, 1
Factor 5*d**3 + 425*d**2 - 870*d.
5*d*(d - 2)*(d + 87)
Factor u**3/3 - 22*u**2/3 - 17*u + 24.
(u - 24)*(u - 1)*(u + 3)/3
Factor -100*k**2 + 228*k - 56.
-4*(k - 2)*(25*k - 7)
Factor n**5 - 12*n**4 + 35*n**3 - 24*n**2.
n**2*(n - 8)*(n - 3)*(n - 1)
Suppose -8*i**4/15 + 2*i**3/5 + 2*i**2/3 - 2*i/5 - 2/15 = 0. What is i?
-1, -1/4, 1
Factor 3*s**3/5 + 54*s**2/5.
3*s**2*(s + 18)/5
Find o such that -48*o**4 + 1516*o**3 - 11640*o**2 - 5376*o + 2048 = 0.
-2/3, 1/4, 16
Determine o so that 2*o**4/5 - 4*o**3 - 72*o**2/5 - 76*o/5 - 26/5 = 0.
-1, 13
Suppose 35*h**4/2 - 71*h**3 - 27*h**2/2 + 71*h - 4 = 0. Calculate h.
-1, 2/35, 1, 4
Suppose -m**4/2 + 2*m**3 + m**2 - 6*m - 9/2 = 0. Calculate m.
-1, 3
Find n such that -4*n**4 + 112*n**3 + 644*n**2 + 528*n = 0.
-4, -1, 0, 33
Determine w, given that -2*w**4 + 20*w**3 - 72*w**2 + 112*w - 64 = 0.
2, 4
Factor -k**2 - 171*k - 504.
-(k + 3)*(k + 168)
Factor -4*y**4 - 888*y**3 - 49284*y**2.
-4*y**2*(y + 111)**2
Determine i, given that 4*i**3 - 188*i**2 + 1020*i - 1476 = 0.
3, 41
Determine n so that 4*n**5 - 80*n**4 + 568*n**3 - 1696*n**2 + 1988*n - 784 = 0.
1, 4, 7
Factor 56*w**2/5 - 9*w/5 - 2/5.
(7*w - 2)*(8*w + 1)/5
Let -24*w**4/5 - 152*w**3/5 + 298*w**2/5 - 172*w/5 + 32/5 = 0. Calculate w.
-8, 1/2, 2/3
Factor -2*k**2/11 - 142*k/11 + 144/11.
-2*(k - 1)*(k + 72)/11
Factor 3*i**2 + 72*i.
3*i*(i + 24)
Factor -r**4/11 + 86*r**3/11 - 2229*r**2/11 + 16340*r/11 - 36100/11.
-(r - 38)**2*(r - 5)**2/11
Suppose -3*i**2/4 - 2514*i - 2106732 = 0. Calculate i.
-1676
Factor -y**4 - 28*y**3 - 165*y**2 + 450*y.
-y*(y - 2)*(y + 15)**2
Determine q so that 3*q**5 - 6*q**4 - 18*q**3 + 24*