*4 + 61*m**3 + 30*m**2 = 0.
-30, -1/2, 0
Suppose 2*u**4/13 - 150*u**3/13 + 292*u**2/13 = 0. What is u?
0, 2, 73
Determine p so that -4*p**3 + 20*p**2 + 32*p - 192 = 0.
-3, 4
Solve -2*w**4/7 + 12*w**3/7 + 30*w**2/7 + 16*w/7 = 0 for w.
-1, 0, 8
Determine j so that -5*j**3/2 + 225*j**2/2 = 0.
0, 45
Solve 4*t**4 + 128*t**3 + 564*t**2 + 648*t = 0.
-27, -3, -2, 0
Let -2*s**2 - 6*s + 416 = 0. What is s?
-16, 13
Solve -4*f**5/3 - 164*f**4/3 - 1012*f**3/3 - 692*f**2 - 408*f = 0.
-34, -3, -1, 0
Factor -4*c**2 + 28*c.
-4*c*(c - 7)
Factor -2*h**3/21 - 4*h**2/21 + 2*h/21 + 4/21.
-2*(h - 1)*(h + 1)*(h + 2)/21
Factor 3*x**3/2 + 4077*x**2/2 + 1846881*x/2 + 278879031/2.
3*(x + 453)**3/2
Factor -4*x**5 + 20*x**4 - 40*x**3 + 40*x**2 - 20*x + 4.
-4*(x - 1)**5
Factor v**3/5 + 5*v**2 + 166*v/5 + 48.
(v + 2)*(v + 8)*(v + 15)/5
Suppose -2*y**3/19 - 110*y**2/19 - 1116*y/19 - 1008/19 = 0. Calculate y.
-42, -12, -1
What is d in 324*d**4 - 1440*d**3 - 1028*d**2 + 656*d - 80 = 0?
-1, 2/9, 5
Let 3*s**5 - 12*s**4 + 30*s**2 - 3*s - 18 = 0. What is s?
-1, 1, 2, 3
Find x, given that -x**2/4 + 2*x - 4 = 0.
4
Factor 9*b**3/5 - 1311*b**2/5 + 47523*b/5 + 15987/5.
3*(b - 73)**2*(3*b + 1)/5
Determine u, given that 3*u**2 + 237*u - 996 = 0.
-83, 4
Suppose 14*s**3 - 430*s**2 + 17936*s/7 + 83544/7 = 0. Calculate s.
-3, 118/7
Suppose -3*u**3/4 - 3*u**2/4 + 15*u = 0. Calculate u.
-5, 0, 4
Factor k**3/3 - 737*k**2/3 + 136891*k/3 - 134689.
(k - 367)**2*(k - 3)/3
Let -2*c**2/21 + 176*c/21 - 58/7 = 0. What is c?
1, 87
Find u, given that -3*u**5/7 - 3*u**4/7 + 9*u**3/7 + 3*u**2/7 - 6*u/7 = 0.
-2, -1, 0, 1
Solve 49*k**5 - 1008*k**4 + 6297*k**3 - 11294*k**2 + 5004*k - 648 = 0.
2/7, 2, 9
Factor 4*i**2 - 424*i + 11236.
4*(i - 53)**2
Factor -2*h**4 + 8*h**3 - 8*h**2.
-2*h**2*(h - 2)**2
Factor -56*u**3/15 - 38*u**2/5 - 4*u - 2/15.
-2*(u + 1)**2*(28*u + 1)/15
Factor 2*f**3 + 14*f**2 - 2*f - 14.
2*(f - 1)*(f + 1)*(f + 7)
Let -5*t**3 + 25*t**2 - 40*t + 20 = 0. What is t?
1, 2
Find s, given that -s**3 - 9*s**2 - 11*s + 21 = 0.
-7, -3, 1
Determine l, given that -2*l**2/3 + 4*l - 16/3 = 0.
2, 4
Let -9*a**4 - 264*a**3 - 1707*a**2 - 2808*a - 756 = 0. What is a?
-21, -6, -2, -1/3
Factor -4*f**2/3 + 664*f/3.
-4*f*(f - 166)/3
What is p in -2*p**3/7 + 6*p/7 - 4/7 = 0?
-2, 1
Find m such that m**4 + 194*m**3 + 9601*m**2 + 18624*m + 9216 = 0.
-96, -1
Factor -5*c**2 + 2200*c + 4420.
-5*(c - 442)*(c + 2)
Find x such that -3*x**3 + 2481*x**2 = 0.
0, 827
Let -175*v**3 + 360*v**2 - 195*v + 10 = 0. What is v?
2/35, 1
Determine h, given that -h**3/5 + 23*h**2/5 + 112*h + 2496/5 = 0.
-8, 39
Suppose -b**2/3 - 8*b/3 + 3 = 0. What is b?
-9, 1
Factor i**3/4 + 35*i**2/2 + 34*i.
i*(i + 2)*(i + 68)/4
Factor 2*a**5/5 - 22*a**4/5 - 78*a**3/5 - 82*a**2/5 - 28*a/5.
2*a*(a - 14)*(a + 1)**3/5
Determine u so that -5*u**4 + 35*u**3 + 265*u**2 + 405*u + 180 = 0.
-3, -1, 12
Factor -4*q**2 - 28*q + 120.
-4*(q - 3)*(q + 10)
Factor -5*v**2 + 1200*v - 1195.
-5*(v - 239)*(v - 1)
Solve -12*i**2 + 4011*i - 1002 = 0.
1/4, 334
Suppose -5*d**4 - 390*d**3 + 405*d**2 + 790*d = 0. What is d?
-79, -1, 0, 2
Factor -12*q**2 - 4*q.
-4*q*(3*q + 1)
Factor -14*p**3 + 54*p**2 + 638*p + 90.
-2*(p - 9)*(p + 5)*(7*p + 1)
Factor q**3/3 - 16*q**2/3.
q**2*(q - 16)/3
What is c in c**2 + 107*c = 0?
-107, 0
Factor v**5/3 + 20*v**4/3 + 39*v**3 + 54*v**2.
v**2*(v + 2)*(v + 9)**2/3
What is q in -5*q**2/4 + 55*q/4 - 25/2 = 0?
1, 10
Determine q, given that 5*q**5 + 65*q**4 + 70*q**3 - 440*q**2 = 0.
-11, -4, 0, 2
Factor -j**3/2 + 23*j**2 - 89*j/2 + 22.
-(j - 44)*(j - 1)**2/2
Factor 28*a**4 - 344*a**3 - 512*a**2 + 11160*a + 8100.
4*(a - 9)**2*(a + 5)*(7*a + 5)
Solve -24964*c**2 + 1896*c - 36 = 0.
3/79
Factor 3*w**3 - 102*w**2 + 372*w - 360.
3*(w - 30)*(w - 2)**2
Suppose -6*z**4/5 - 62*z**3/5 - 14*z**2/5 + 62*z/5 + 4 = 0. Calculate z.
-10, -1, -1/3, 1
Determine w, given that 2*w**2 + 158*w = 0.
-79, 0
What is n in -4*n**5 + 844*n**4 + 12*n**3 - 2540*n**2 + 1688*n = 0?
-2, 0, 1, 211
Suppose p**4 - p**3 - 3*p**2 + 5*p - 2 = 0. What is p?
-2, 1
Let 2025*h**2 + 180*h + 4 = 0. Calculate h.
-2/45
Suppose -4*h**2 - 8*h + 12 = 0. Calculate h.
-3, 1
Factor 15*k**2 + 9425*k - 6290.
5*(k + 629)*(3*k - 2)
Suppose -8*u**5/3 - 10*u**4 - 32*u**3/3 - 2*u**2 + 4*u/3 = 0. What is u?
-2, -1, 0, 1/4
Suppose 4*m**3 + 704*m**2 + 32336*m + 118336 = 0. Calculate m.
-86, -4
Suppose -4*w**3 - 1836*w**2 - 1832*w = 0. Calculate w.
-458, -1, 0
Let -105*t**4/2 - 981*t**3 + 1866*t**2 + 612*t = 0. Calculate t.
-102/5, -2/7, 0, 2
Solve 2*f**5/3 + 10*f**4/3 + 14*f**3/3 + 2*f**2 = 0.
-3, -1, 0
Find o such that -3*o**3/5 - 10788*o**2/5 - 9709191*o/5 - 19375254/5 = 0.
-1797, -2
Factor 10*f**3/7 - 2*f**2/7 - 12*f/7.
2*f*(f + 1)*(5*f - 6)/7
Factor 2*k**2 - 64*k + 462.
2*(k - 21)*(k - 11)
Factor 55*u**2 - 105*u + 50.
5*(u - 1)*(11*u - 10)
Find w such that -3*w**5 - 9*w**4 + 3*w**3 + 21*w**2 - 12 = 0.
-2, -1, 1
Let -z**3/7 - 3*z**2/7 - 2*z/7 = 0. What is z?
-2, -1, 0
Let x**3 - 1944*x**2 + 1259712*x - 272097792 = 0. Calculate x.
648
Factor -2*k**2/5 - 82*k - 1608/5.
-2*(k + 4)*(k + 201)/5
Determine f, given that -f**5/9 - 40*f**4/9 - 467*f**3/9 - 644*f**2/9 + 1152*f - 1024 = 0.
-16, -12, 1, 3
Determine i so that 3*i**4 + 3861*i**3 + 1240338*i**2 - 1251936*i - 2488416 = 0.
-644, -1, 2
Factor 3*h**2/5 + 1518*h/5.
3*h*(h + 506)/5
What is x in -4*x**2 + 40*x - 64 = 0?
2, 8
Suppose r**2/12 - 653*r/12 - 655/6 = 0. What is r?
-2, 655
Factor u**3/4 - u**2/4 - 5*u/4 - 3/4.
(u - 3)*(u + 1)**2/4
Determine b so that -5*b**4 - 40*b**3 - 90*b**2 + 135 = 0.
-3, 1
Suppose 2*j**5/5 + 22*j**4/5 - 18*j**3 - 110*j**2 - 752*j/5 - 312/5 = 0. Calculate j.
-13, -2, -1, 6
Find k such that 4*k**3 - 24204*k**2 + 36626700*k - 36602500 = 0.
1, 3025
What is n in 64*n**5 + 126*n**4 - 4*n**3 - 128*n**2 - 60*n + 2 = 0?
-1, 1/32, 1
Find r such that -25*r**2 + 935*r - 370 = 0.
2/5, 37
Factor 10*o**3/3 - 37*o**2 + 37*o - 10/3.
(o - 10)*(o - 1)*(10*o - 1)/3
Factor -z**4 + 7*z**3 - 13*z**2 - 3*z + 18.
-(z - 3)**2*(z - 2)*(z + 1)
What is n in -5*n**3 + 353*n**2 + 872*n + 292 = 0?
-2, -2/5, 73
Factor 4*j**3/7 - 80*j**2/7 - 12*j.
4*j*(j - 21)*(j + 1)/7
Suppose 5*t**4 + 23*t**3 - 315*t**2 + 397*t - 110 = 0. Calculate t.
-11, 2/5, 1, 5
Suppose -4*k**4 + 164*k**3 + 4*k**2 - 164*k = 0. Calculate k.
-1, 0, 1, 41
Suppose -15*m**4/2 + 78*m**3 - 120*m**2 - 504*m + 216 = 0. Calculate m.
-2, 2/5, 6
Solve 2*u**5/9 - 16*u**4/9 + 32*u**3/9 + 4*u**2 - 18*u + 12 = 0 for u.
-2, 1, 3
Suppose 3*t**2/8 - 231*t/8 + 312 = 0. Calculate t.
13, 64
Suppose -6*f**3 + 3104*f**2/7 - 57202*f/7 - 5476/7 = 0. What is f?
-2/21, 37
What is j in j**3/5 + 4*j**2/5 - 12*j/5 = 0?
-6, 0, 2
Factor 2*w**2/7 + 36*w/7 + 34/7.
2*(w + 1)*(w + 17)/7
Determine y, given that 4500*y**4 - 3300*y**3 - 3895*y**2 + 3300*y - 605 = 0.
-1, 11/30, 1
Let -4*x**2/9 - 8*x/9 + 64/3 = 0. What is x?
-8, 6
Factor 4*f**3 + 28*f**2 - 84*f - 108.
4*(f - 3)*(f + 1)*(f + 9)
Factor -z**5 - 20*z**4 - 154*z**3 - 560*z**2 - 925*z - 500.
-(z + 1)*(z + 4)*(z + 5)**3
Let 5*q**2/4 + 23815*q/4 = 0. Calculate q.
-4763, 0
Suppose x**4/3 + 8*x**3/3 + 7*x**2 + 22*x/3 + 8/3 = 0. Calculate x.
-4, -2, -1
Determine k, given that k**3/4 - 7*k**2 + 165*k/4 + 225/2 = 0.
-2, 15
Let 4*a**3 + 7*a**2 - 30*a = 0. Calculate a.
-15/4, 0, 2
Find o, given that 3*o**5 + 174*o**4 - 186*o**3 - 528*o**2 + 183*o + 354 = 0.
-59, -1, 1, 2
Factor 3*h**2 + 3*h - 468.
3*(h - 12)*(h + 13)
Factor 3*v**3/4 - 1071*v**2/2 - 3*v/4 + 1071/2.
3*(v - 714)*(v - 1)*(v + 1)/4
Factor 3*l**4/7 - 3*l**3 - 12*l**2 - 60*l/7.
3*l*(l - 10)*(l + 1)*(l + 2)/7
Factor -4*x**4 + 12*x**3 + 36*x**2 + 20*x.
-4*x*(x - 5)*(x + 1)**2
Factor 3*y**2 - 4389*y.
3*y*(y - 1463)
Factor h**3 - 26*h**2 + 23*h + 50.
(h - 25)*(h - 2)*(h + 1)
Suppose -57*q**2 - 168*q - 108 = 0. Calculate q.
-2, -18/19
Suppose 4*l**3 - 56*l**2 + 240*l - 288 = 0. Calculate l.
2, 6
Factor -5*b**3 - 15*b**2 - 15*b - 5.
-5*(b + 1)**3
Factor -q**3/2 - 15*q**2/2 - 13*q.
-q*(q + 2)*(q + 13)/2
Determine n, given that 4*n**4 - 100*n**3 - 696*n**2 - 1456*n - 992 = 0.
-2, 31
Determine a, given that 5*a**4 + 40*a**3 + 35*a**2 = 0.
-7, -1, 0
Solve -w**3/5 - 31*w**2 - 5928*w/5 + 6084/5 = 0.
-78, 1
Suppose -2*m**2/9 - 4*m/9 + 160/9 = 0. What is m?
-10, 8
What is y in 2*y**5/3 + 22*y**4/3 - 2*y**3/3 - 22*y**2/3 = 0?
-11, -1, 0, 1