/4 - 355*f/4 + 177/4 = 0.
1, 177
Let -2*t**4/9 - 10*t**3/3 - 12*t**2 + 24*t + 144 = 0. Calculate t.
-6, 3
Find p such that 3*p**2/7 + 30*p/7 - 72/7 = 0.
-12, 2
Solve 3*u**4/7 - 27*u**3/7 - 12*u**2/7 + 108*u/7 = 0.
-2, 0, 2, 9
What is p in 5*p**2 - 43370*p + 94047845 = 0?
4337
Factor 35*p**4 + 305*p**3 + 400*p**2 - 140*p.
5*p*(p + 2)*(p + 7)*(7*p - 2)
Factor -2*v**5 + 6*v**3 + 4*v**2.
-2*v**2*(v - 2)*(v + 1)**2
Solve -3*x**5/2 - 15*x**4/2 - 21*x**3/2 - 9*x**2/2 = 0.
-3, -1, 0
Determine g so that 2*g**5 - 10*g**4 + 2*g**3 + 26*g**2 - 4*g - 16 = 0.
-1, 1, 2, 4
Factor v**2/3 - v - 40/3.
(v - 8)*(v + 5)/3
Find v, given that -2*v**3/5 - 488*v**2/5 - 29768*v/5 = 0.
-122, 0
Factor 2*r**5 - 12*r**4 + 22*r**3 - 12*r**2.
2*r**2*(r - 3)*(r - 2)*(r - 1)
Factor -2*l**4/13 - 134*l**3/13 - 3150*l**2/13 - 29106*l/13 - 74088/13.
-2*(l + 4)*(l + 21)**3/13
Find u such that -u**2/5 - u + 14/5 = 0.
-7, 2
Find q, given that 5*q**5 + 360*q**4 + 6820*q**3 + 11890*q**2 - 6825*q - 12250 = 0.
-35, -2, -1, 1
Solve n**2/2 + 20*n + 39/2 = 0.
-39, -1
Factor -2*i**3/5 - 2*i**2/5 + 352*i/5 + 384.
-2*(i - 15)*(i + 8)**2/5
Solve -6*q**4 - 33*q**3 - 48*q**2 - 21*q = 0 for q.
-7/2, -1, 0
Solve 64*z**5 - 320*z**4 + 252*z**3 + 20*z**2 - 16*z = 0 for z.
-1/4, 0, 1/4, 1, 4
Factor 2*p**3/17 - 206*p**2/17 + 5200*p/17 + 5408/17.
2*(p - 52)**2*(p + 1)/17
Let -2*h**3 - 324*h**2 + 656*h = 0. Calculate h.
-164, 0, 2
What is v in v**5 - 19*v**4 + 32*v**3 + 532*v**2 + 1056*v + 576 = 0?
-2, -1, 12
What is j in -3*j**3 - 30*j**2 - 36*j + 216 = 0?
-6, 2
Factor 2*t**4/3 + 10*t**3/3 + 4*t**2.
2*t**2*(t + 2)*(t + 3)/3
Factor 2*q**4 - 30*q**3 + 24*q**2 + 56*q.
2*q*(q - 14)*(q - 2)*(q + 1)
Factor 3*h**2/2 - 33*h - 69/2.
3*(h - 23)*(h + 1)/2
Factor 3*t**4 - 27*t**3 + 24*t**2.
3*t**2*(t - 8)*(t - 1)
Solve 4*q**5 + 140*q**4 + 908*q**3 + 1156*q**2 - 912*q - 1296 = 0 for q.
-27, -6, -2, -1, 1
Factor 2*x**3 + 50*x**2 - 106*x + 54.
2*(x - 1)**2*(x + 27)
Suppose -2*n**4/5 - 38*n**3/5 + 42*n**2/5 + 38*n/5 - 8 = 0. What is n?
-20, -1, 1
Factor -2*o**3 - 44*o**2 - 192*o + 576.
-2*(o - 2)*(o + 12)**2
Factor 50*r**5/9 + 940*r**4/9 + 1126*r**3/3 - 9776*r**2/9 + 5408*r/9.
2*r*(r - 1)**2*(5*r + 52)**2/9
Solve k**4/8 - 605*k**3/8 - 303*k**2/4 = 0.
-1, 0, 606
What is x in 2*x**4/5 - 116*x**3 - 2*x**2/5 + 116*x = 0?
-1, 0, 1, 290
Let 3*s**4/7 + 6*s**3 + 192*s**2/7 + 288*s/7 = 0. What is s?
-6, -4, 0
Factor 2*k**5 + 6*k**4 + 4*k**3 - 4*k**2 - 6*k - 2.
2*(k - 1)*(k + 1)**4
Find o, given that 105*o**3 - 125*o**2 + 30*o = 0.
0, 1/3, 6/7
Suppose 2*t**2/13 + 76*t/13 - 160/13 = 0. Calculate t.
-40, 2
Suppose 27*p**5/4 - 33*p**4/4 - 75*p**3/4 + 153*p**2/4 - 21*p + 3 = 0. Calculate p.
-2, 2/9, 1
Solve 2*n**5/9 - 4*n**4/3 + 28*n**3/9 - 32*n**2/9 + 2*n - 4/9 = 0 for n.
1, 2
Suppose 125*d**4 + 575*d**3 - 995*d**2 + 325*d - 30 = 0. What is d?
-6, 1/5, 1
Let 3*a**4 - 828*a**3 + 85698*a**2 - 3942108*a + 68001363 = 0. What is a?
69
Suppose u**3/8 + 161*u**2/4 + 641*u/8 + 40 = 0. What is u?
-320, -1
Factor -3*n**3 - 87*n**2 - 393*n + 483.
-3*(n - 1)*(n + 7)*(n + 23)
Suppose f**5 + 10*f**4 + 9*f**3 - 136*f**2 - 412*f - 336 = 0. Calculate f.
-7, -3, -2, 4
Let -28*s**5 + 440*s**4 - 1328*s**3 + 928*s**2 + 384*s = 0. What is s?
-2/7, 0, 2, 12
Let 2*q**4/11 + 10*q**3/11 - 252*q**2/11 = 0. Calculate q.
-14, 0, 9
What is m in -2*m**2/5 - 4*m/5 + 16/5 = 0?
-4, 2
Factor -3*t**2 + 7188*t - 4305612.
-3*(t - 1198)**2
What is l in 3*l**3/2 + 12*l**2 + 51*l/2 + 15 = 0?
-5, -2, -1
Suppose -121*r**2 + 660*r - 900 = 0. Calculate r.
30/11
Suppose 2*w**4/11 + 10*w**3/11 - 10*w**2 + 230*w/11 - 12 = 0. What is w?
-11, 1, 2, 3
Solve -2*b**5/7 + 8*b**4/7 + 60*b**3/7 + 40*b**2/7 - 58*b/7 - 48/7 = 0.
-3, -1, 1, 8
Factor -d**5/5 + 2*d**4 + 24*d**3/5 + 2*d**2/5 - 23*d/5 - 12/5.
-(d - 12)*(d - 1)*(d + 1)**3/5
Determine f, given that f**2 - 46*f - 47 = 0.
-1, 47
Let -2*z**4/7 + 6*z**2/7 - 4*z/7 = 0. What is z?
-2, 0, 1
Suppose 3*f**3/5 + 3*f**2 - 6*f/5 - 72/5 = 0. What is f?
-4, -3, 2
Let 5*y**5 - 15*y**4 - 35*y**3 + 35*y**2 + 90*y + 40 = 0. Calculate y.
-1, 2, 4
Find j, given that -5*j**4 + 40*j**3 - 75*j**2 = 0.
0, 3, 5
Solve -3*r**2 + 648*r = 0 for r.
0, 216
Solve -2*u**2/9 - 3372*u - 12791682 = 0.
-7587
Factor 3*r**3 + 81*r**2 - 84*r.
3*r*(r - 1)*(r + 28)
Factor -3*n**2 - 39*n - 126.
-3*(n + 6)*(n + 7)
Determine z so that 8*z**3 - 18*z**2 - 188*z + 48 = 0.
-4, 1/4, 6
Let -4*p**2 - 216*p - 212 = 0. What is p?
-53, -1
Let -2*l**3/19 + 10*l**2/19 - 4*l/19 - 16/19 = 0. Calculate l.
-1, 2, 4
Factor y**2/3 - 2*y + 5/3.
(y - 5)*(y - 1)/3
Determine d so that -3*d**3/7 + 3*d**2/7 + 678*d/7 + 96 = 0.
-14, -1, 16
Let -4*w**4 + 8*w**3 + 4*w**2 - 8*w = 0. What is w?
-1, 0, 1, 2
What is y in -2*y**5 + 6*y**4 + 14*y**3 - 22*y**2 - 12*y + 16 = 0?
-2, -1, 1, 4
Factor -4*t**5 - 12*t**4 + 40*t**3 + 208*t**2 + 288*t + 128.
-4*(t - 4)*(t + 1)*(t + 2)**3
Solve -5*c**4 - 290*c**3 + 305*c**2 + 590*c = 0 for c.
-59, -1, 0, 2
Suppose 2*m**3 + 18*m**2 + 46*m + 30 = 0. What is m?
-5, -3, -1
Factor -5*g**2 - 260*g - 3300.
-5*(g + 22)*(g + 30)
What is a in -25*a**4 - 245*a**3/3 - 20*a**2 = 0?
-3, -4/15, 0
Factor h**5/10 + 4*h**4/5 + 11*h**3/5 + 12*h**2/5 + 9*h/10.
h*(h + 1)**2*(h + 3)**2/10
Determine g, given that -g**2/6 - 137*g/6 - 68/3 = 0.
-136, -1
Factor -2*n**2 + 38*n + 240.
-2*(n - 24)*(n + 5)
Determine c, given that -5*c**5/4 - 133*c**4/4 + 246*c**3 - 578*c**2 + 524*c - 132 = 0.
-33, 2/5, 2
Let -2*w**5 - 26*w**4 - 44*w**3 + 4*w**2 + 46*w + 22 = 0. Calculate w.
-11, -1, 1
Factor -5*u**3 + 25*u**2 + 40*u - 60.
-5*(u - 6)*(u - 1)*(u + 2)
Factor 2*n**3/5 + 32*n**2/5 + 8*n - 160.
2*(n - 4)*(n + 10)**2/5
Factor -4*t**4 + 52*t**3 - 228*t**2 + 380*t - 200.
-4*(t - 5)**2*(t - 2)*(t - 1)
Factor -55*f**3/6 + 7*f**2/2 - f/3.
-f*(5*f - 1)*(11*f - 2)/6
Solve 2*v**4/15 + 4*v**3/15 - 2*v**2/3 - 4*v/5 = 0.
-3, -1, 0, 2
Factor -9*w**2 - 426*w + 288.
-3*(w + 48)*(3*w - 2)
Factor 3*o**3 - 18*o**2 - 3*o + 18.
3*(o - 6)*(o - 1)*(o + 1)
Determine o so that 4*o**2 + 1548*o - 3112 = 0.
-389, 2
Factor -2*t**3/15 - 1718*t**2/15 - 686*t/3 - 1714/15.
-2*(t + 1)**2*(t + 857)/15
Factor 2*c**4/17 + 112*c**3/17 + 324*c**2/17 + 320*c/17 + 106/17.
2*(c + 1)**3*(c + 53)/17
Factor -2*y**5 + 2*y**4 + 138*y**3 + 382*y**2 + 368*y + 120.
-2*(y - 10)*(y + 1)**3*(y + 6)
Solve -16*s**2 + 8212*s - 2052 = 0 for s.
1/4, 513
Determine k so that 5*k**4 + 80*k**3 + 225*k**2 - 810*k = 0.
-9, 0, 2
Factor 63*i**2 + 381*i + 18.
3*(i + 6)*(21*i + 1)
Factor k**2/4 + 7*k/4 - 9/2.
(k - 2)*(k + 9)/4
Let -2*d**5 + 16*d**4 + 46*d**3 - 60*d**2 = 0. Calculate d.
-3, 0, 1, 10
Let 3*c**4/5 - 12*c**3/5 - 3*c**2/5 + 12*c/5 = 0. What is c?
-1, 0, 1, 4
Factor -2*h**3/3 - 152*h**2/3 + 158*h/3 + 308/3.
-2*(h - 2)*(h + 1)*(h + 77)/3
Determine n, given that -5*n**5 - 6*n**4 + 13*n**3 + 6*n**2 - 8*n = 0.
-2, -1, 0, 4/5, 1
Solve -2*f**2/5 - 9636*f/5 - 11606562/5 = 0 for f.
-2409
Determine f so that 3*f**4/2 - 3*f**3/2 - 33*f**2/2 + 27*f/2 + 27 = 0.
-3, -1, 2, 3
Suppose 3*a**3/7 + 21*a**2 + 1509*a/7 + 195 = 0. What is a?
-35, -13, -1
Determine v, given that 5*v**3 + 385*v**2 + 1120*v + 740 = 0.
-74, -2, -1
Factor 2*y**2 + 78*y + 76.
2*(y + 1)*(y + 38)
Find b, given that -25*b**4 - 35*b**3 + 140*b**2 + 60*b = 0.
-3, -2/5, 0, 2
Factor -2*n**3 + 276*n**2 - 12696*n + 194672.
-2*(n - 46)**3
Find m such that 2*m**5/13 + 12*m**4/13 - 170*m**3/13 + 12*m**2 = 0.
-13, 0, 1, 6
Suppose s**2/4 - 5*s = 0. What is s?
0, 20
Find h, given that -h**3 - 43*h**2 = 0.
-43, 0
Find t, given that 2*t**3/17 - 1262*t**2/17 + 2518*t/17 - 74 = 0.
1, 629
What is n in -2*n**4/5 - 68*n**3/5 + 158*n**2/5 + 512*n/5 + 288/5 = 0?
-36, -1, 4
Solve 3*c**4/2 - 27*c**3/2 + 27*c**2 + 6*c - 36 = 0.
-1, 2, 6
Factor 2*h**4/7 - 6*h**3/7 + 4*h**2/7.
2*h**2*(h - 2)*(h - 1)/7
Find t such that 5*t**2 - 500*t + 12500 = 0.
50
Find q such that 3*q**4 + 84*q**3 + 720*q**2 + 1728*q = 0.
-12, -4, 0
Let y**3/2 - 441*y**2/2 - 888*y - 890 = 0. Calculate y.
-2, 445
Let h**3/3 - 1510*h**2 + 1711584*h - 10251392/3 = 0. What is h?
2, 2264
Find l, given that 3*l**2 - 3*l = 0.
0, 1
Factor 2*k**3/5 + 3*k**2 + 6*k/5 - 7/5.
(k + 1)*(k + 7)*(2*k - 1)/5
Factor 2*s**3/5 - 54*s**2/5.
2*s**2*(s - 27)/5
Factor 5*m**4 - 5*m**3 - 15*m**2 + 5*m + 10.
5*(m - 2)*(m - 1)*(m + 1)**2
Find d such that 3*d**3/4 - 24*d**2 + 999*d/4 - 