r -2*i**2 + 620*i - 48050.
-2*(i - 155)**2
Factor 2*v**4 + 72*v**3 + 646*v**2 - 72*v - 648.
2*(v - 1)*(v + 1)*(v + 18)**2
Factor a**2/3 + 8*a + 95/3.
(a + 5)*(a + 19)/3
Find c, given that -4*c**4 + 180*c**3 - 168*c**2 - 352*c = 0.
-1, 0, 2, 44
Suppose -5*v**3 - 2935*v**2 - 11680*v - 11660 = 0. Calculate v.
-583, -2
Find t such that 5*t**4 + 80*t**3 + 310*t**2 + 400*t + 165 = 0.
-11, -3, -1
Determine t so that 3*t**2/7 - 36*t/7 + 108/7 = 0.
6
Suppose -14*v**5 + 174*v**4 - 684*v**3 + 808*v**2 + 528*v - 1152 = 0. What is v?
-1, 2, 24/7, 6
Find f such that -25*f**5 + 195*f**4 + 115*f**3 - 635*f**2 + 270*f + 80 = 0.
-2, -1/5, 1, 8
Suppose q**5/2 + 125*q**4/2 + 4207*q**3/2 + 18843*q**2/2 + 12780*q + 5400 = 0. What is q?
-60, -3, -1
Let 2*n**4/11 - 4*n**3/11 - 8*n**2/11 + 4*n/11 + 6/11 = 0. Calculate n.
-1, 1, 3
Factor -2*z**5/13 - 12*z**4/13 - 10*z**3/13.
-2*z**3*(z + 1)*(z + 5)/13
Solve -5*u**3 - 120*u**2 - 420*u - 400 = 0 for u.
-20, -2
Determine v, given that 2*v**3/9 - 116*v**2/9 + 1792*v/9 - 3136/9 = 0.
2, 28
Solve q**2/4 - 479*q/4 - 723/2 = 0.
-3, 482
Solve b**3/3 - 8*b**2/3 + 13*b/3 - 2 = 0 for b.
1, 6
Let -8*c**3/13 + 782*c**2/13 - 580*c/13 - 194/13 = 0. Calculate c.
-1/4, 1, 97
Factor a**5 + 7*a**4 - 17*a**3 + 9*a**2.
a**2*(a - 1)**2*(a + 9)
Find w such that 33*w**5 + 39*w**4 - 291*w**3 + 309*w**2 - 66*w - 24 = 0.
-4, -2/11, 1
Find r such that -2*r**3/3 + 26*r/3 + 8 = 0.
-3, -1, 4
Factor -w**2/2 + 3*w - 9/2.
-(w - 3)**2/2
Find j, given that 4*j**5/9 + 4*j**4/3 - 8*j**3/9 - 8*j**2/3 + 4*j/9 + 4/3 = 0.
-3, -1, 1
Determine b so that -20*b**5 + 356*b**4 - 2088*b**3 + 4328*b**2 - 1988*b - 588 = 0.
-1/5, 1, 3, 7
Factor -15*g**2 - 70*g - 55.
-5*(g + 1)*(3*g + 11)
Let -4*x**5 + 392*x**4 - 1528*x**3 + 2272*x**2 - 1508*x + 376 = 0. Calculate x.
1, 94
Factor -2*o**2/7 + 766*o/7 - 764/7.
-2*(o - 382)*(o - 1)/7
Determine o, given that o**2/2 + 61*o/2 + 59 = 0.
-59, -2
Let a**4 - 3*a**3 - 64*a**2 + 192*a = 0. What is a?
-8, 0, 3, 8
What is l in -l**5/4 - 4*l**4 - 47*l**3/2 - 60*l**2 - 225*l/4 = 0?
-5, -3, 0
Determine b so that -3*b**2 - 26*b - 16 = 0.
-8, -2/3
Find i, given that 3*i**4 + 591*i**3 + 2316*i**2 = 0.
-193, -4, 0
Let m**5 - 9*m**4 + 29*m**3 - 39*m**2 + 18*m = 0. What is m?
0, 1, 2, 3
Determine g so that 2*g**3 + 76*g**2 + 462*g - 540 = 0.
-30, -9, 1
Let -4*k**5 - 64*k**4 + 160*k**3 + 280*k**2 - 156*k - 216 = 0. Calculate k.
-18, -1, 1, 3
Factor -3*t**3/4 + 21*t**2/4 - 33*t/4 + 15/4.
-3*(t - 5)*(t - 1)**2/4
Factor 4*o**2 + 492*o.
4*o*(o + 123)
Factor -z**2 + 21*z - 20.
-(z - 20)*(z - 1)
Factor 55*m**2 - 50*m.
5*m*(11*m - 10)
Factor -5*p**4 - 50*p**3 - 105*p**2 + 20*p + 140.
-5*(p - 1)*(p + 2)**2*(p + 7)
Factor 5*o**5/2 - 5*o**3 + 5*o/2.
5*o*(o - 1)**2*(o + 1)**2/2
Factor -2*m**3 + 146*m**2.
-2*m**2*(m - 73)
Determine i so that -2*i**5 + 58*i**4 + 64*i**3 - 120*i**2 = 0.
-2, 0, 1, 30
Factor 2*b**3/13 - 60*b**2/13 + 54*b/13 + 116/13.
2*(b - 29)*(b - 2)*(b + 1)/13
Let -w**4/3 + 8*w**3/3 - 2*w**2 - 8*w/3 + 7/3 = 0. Calculate w.
-1, 1, 7
What is d in -2*d**4 + 36*d**2 - 162 = 0?
-3, 3
Factor s**2/3 + 56*s/3.
s*(s + 56)/3
Factor -2*b**2 + 96*b/7 + 2.
-2*(b - 7)*(7*b + 1)/7
Factor -2*l**4/3 + 8*l**3 - 40*l**2/3.
-2*l**2*(l - 10)*(l - 2)/3
Factor h**5/6 - 4*h**4/3 + 7*h**3/2 - 7*h**2/3 - 10*h/3 + 4.
(h - 3)*(h - 2)**3*(h + 1)/6
Determine v so that 2*v**2 + 18*v + 36 = 0.
-6, -3
Factor k**3/3 + 3*k**2 + 23*k/3 + 5.
(k + 1)*(k + 3)*(k + 5)/3
Suppose 2*h**2/17 - 126*h/17 - 3116/17 = 0. Calculate h.
-19, 82
Let -4*a**3/5 + 232*a**2/5 + 236*a/5 = 0. Calculate a.
-1, 0, 59
Solve 2*k**5/9 + 16*k**4/9 + 10*k**3/3 - 40*k**2/9 - 152*k/9 - 32/3 = 0 for k.
-4, -3, -2, -1, 2
Find y, given that 2*y**4/5 + 12*y**3 + 554*y**2/5 + 312*y + 1352/5 = 0.
-13, -2
Suppose -14*c**5 - 24*c**4 - 6*c**3 + 4*c**2 = 0. What is c?
-1, 0, 2/7
Determine o so that 2*o**2 - 54*o - 320 = 0.
-5, 32
Factor -3*w**2 + 162*w.
-3*w*(w - 54)
Determine x so that -2*x**4 + 8*x**3 - 12*x**2 + 8*x - 2 = 0.
1
Factor d**2/8 + 5*d/4 + 25/8.
(d + 5)**2/8
What is i in -i**3 + 5*i**2 - 8*i + 4 = 0?
1, 2
Determine m so that 3*m**5/5 - 9*m**4/5 - 12*m**3/5 + 48*m**2/5 - 48/5 = 0.
-2, -1, 2
Factor -2*a**3 - 538*a**2 - 37488*a - 174240.
-2*(a + 5)*(a + 132)**2
Factor -4*i**3 + 152*i**2 - 1444*i.
-4*i*(i - 19)**2
Determine x, given that 3*x**2 + x - 2 = 0.
-1, 2/3
Determine w, given that -3*w**3/4 + 34*w**2 - 303*w/4 + 43/2 = 0.
1/3, 2, 43
What is b in b**5/4 + 31*b**4/4 + 133*b**3/2 + 7*b**2/2 - 4875*b/4 + 4563/4 = 0?
-13, -9, 1, 3
Find f such that -2*f**5 + 6*f**4 + 46*f**3 + 66*f**2 + 28*f = 0.
-2, -1, 0, 7
Factor 5*m**4 + 30*m**3 + 45*m**2 + 20*m.
5*m*(m + 1)**2*(m + 4)
Suppose -2*k**3/9 - 64*k**2/9 - 86*k/3 + 36 = 0. What is k?
-27, -6, 1
Suppose x**3/5 - 9*x**2/5 - 4*x/5 + 36/5 = 0. What is x?
-2, 2, 9
Determine j, given that -3*j**3 + 3828*j**2 + 3831*j = 0.
-1, 0, 1277
What is f in -f**2/6 + 118*f/3 - 235/6 = 0?
1, 235
Factor -5*i**3 + 1440*i**2 + 30300*i + 154000.
-5*(i - 308)*(i + 10)**2
Factor -5*g**3 + 4410*g**2 - 976800*g + 1936000.
-5*(g - 440)**2*(g - 2)
Factor -g**2/4 - 165*g/4 + 167/2.
-(g - 2)*(g + 167)/4
Suppose -2*u**5/7 - 34*u**4/7 - 32*u**3/7 = 0. What is u?
-16, -1, 0
Suppose -2*z**2/11 - 50*z/11 - 48/11 = 0. What is z?
-24, -1
Let b**4/9 + 4*b**3/3 + 3*b**2 - 68*b/9 - 28/3 = 0. Calculate b.
-7, -6, -1, 2
Solve j**2/3 - 1013*j/3 = 0.
0, 1013
Suppose -4*w**3 + 512*w**2 + 3184*w + 4288 = 0. Calculate w.
-4, -2, 134
What is t in -74*t**3/5 + 78*t**2/5 - 4*t/5 = 0?
0, 2/37, 1
Determine t so that t**4/4 + 21*t**3/2 + 441*t**2/4 = 0.
-21, 0
Factor i**3/2 - i**2/2 - 5*i - 4.
(i - 4)*(i + 1)*(i + 2)/2
Factor -2*w**3/13 - 62*w**2/13 + 274*w/13 - 210/13.
-2*(w - 3)*(w - 1)*(w + 35)/13
Solve 4*d**3 - 664*d**2 + 28208*d - 53792 = 0.
2, 82
Let -3*y**5/5 - 468*y**4/5 - 14067*y**3/5 + 331302*y**2/5 - 1082052*y/5 - 3594456/5 = 0. What is y?
-86, -2, 9
Suppose -6*m**4 + 513*m**3/4 + 1761*m**2/8 + 189*m/2 + 69/8 = 0. Calculate m.
-1, -1/2, -1/8, 23
Suppose 5*h**4 + 75*h**3 + 145*h**2 - 1035*h + 810 = 0. What is h?
-9, 1, 2
Suppose 21*j**5/5 + 579*j**4/5 + 4389*j**3/5 + 5109*j**2/5 - 3042*j/5 = 0. What is j?
-13, -2, 0, 3/7
Factor -k**2 - 160*k - 6400.
-(k + 80)**2
Factor s**4 - 19*s**3/3 + 4*s**2/3 + 4*s.
s*(s - 6)*(s - 1)*(3*s + 2)/3
Let 8*n**3/7 + 536*n**2/7 - 542*n/7 + 136/7 = 0. What is n?
-68, 1/2
Solve -3*u**5/7 - 27*u**4/7 - 3*u**3 + 27*u**2/7 + 24*u/7 = 0.
-8, -1, 0, 1
Factor -j**3/5 - 2*j**2/5 + 23*j/5 + 12.
-(j - 5)*(j + 3)*(j + 4)/5
Suppose x**5/7 + x**4 - 32*x**3/7 - 8*x**2/7 + 16*x - 80/7 = 0. Calculate x.
-10, -2, 1, 2
Let 10*l**4/3 + 8*l**3 + 8*l**2/3 = 0. Calculate l.
-2, -2/5, 0
Factor -2*g**2/21 + 146*g/21 - 20.
-2*(g - 70)*(g - 3)/21
Determine n, given that -n**2/9 + 272*n/9 - 18496/9 = 0.
136
Factor -35*t**2 + 2425*t - 690.
-5*(t - 69)*(7*t - 2)
Let -d**3/2 + 27*d**2/2 - 121*d + 360 = 0. What is d?
8, 9, 10
Solve 4*x**3/7 - 48*x**2 + 9300*x/7 - 84568/7 = 0.
22, 31
Factor -3*r**3/5 - 3*r**2/5 + 51*r/5 - 9.
-3*(r - 3)*(r - 1)*(r + 5)/5
Factor 5*b**5 + 170*b**4 + 1980*b**3 + 8470*b**2 + 6655*b.
5*b*(b + 1)*(b + 11)**3
Solve -2*x**5 - 50*x**4 - 286*x**3 + 338*x**2 = 0.
-13, 0, 1
Determine o so that 5*o**4 + 500*o**3 + 11455*o**2 - 52520*o + 40560 = 0.
-52, 1, 3
Solve 5*u**4 - 415*u**3 + 8815*u**2 - 8405*u = 0.
0, 1, 41
Find u, given that -u**3/2 - 5*u**2/4 - u/4 + 1/2 = 0.
-2, -1, 1/2
Let -4*i**2 - 212*i + 672 = 0. Calculate i.
-56, 3
Factor -5*x**3 - 6900*x**2.
-5*x**2*(x + 1380)
Determine a, given that -3*a**3/4 - 12*a**2 - 60*a - 96 = 0.
-8, -4
Solve h**4/2 - 167*h**3 + 331*h**2/2 + 333*h = 0.
-1, 0, 2, 333
Factor -2*c**3/9 + 656*c**2 - 3934*c/3 + 5900/9.
-2*(c - 2950)*(c - 1)**2/9
Factor f**2 - f - 272.
(f - 17)*(f + 16)
Factor -2*y**4 + 50*y**3 - 48*y**2.
-2*y**2*(y - 24)*(y - 1)
Factor w**4 + 433*w**3/5 + 50*w**2 - 688*w/5.
w*(w - 1)*(w + 86)*(5*w + 8)/5
Let 4*y**4 + 36*y**3 + 104*y**2 + 96*y = 0. Calculate y.
-4, -3, -2, 0
Suppose -42*d**2 + 249*d + 18 = 0. Calculate d.
-1/14, 6
Factor 4*w**2 - 3400*w.
4*w*(w - 850)
Factor 4*o**3 + 44*o**2 + 76*o + 36.
4*(o + 1)**2*(o + 9)
Find f, given that -f**5/2 - 25*f**4/2 - 37*f**3 + 575*f**2 + 75*f/2 - 1125/2 = 0.
-15, -1, 1, 5
Let 6*u**3 - 122*u**2 - 84*u = 0. Calculate u.
-2/3, 0, 21
Factor -3*t**5 - 45*t**4 - 42*t**3.
-3*t**3*(t + 