or 2*c**4 + 48*c**3 - 104*c**2.
2*c**2*(c - 2)*(c + 26)
Suppose -4*t**3 - 328*t**2 = 0. Calculate t.
-82, 0
Solve 16*d**5/5 + 44*d**4/5 - 12*d**3/5 - 64*d**2/5 + 16*d/5 = 0.
-2, 0, 1/4, 1
What is f in 5*f**4 - 30*f**3 + 110*f + 75 = 0?
-1, 3, 5
Suppose 18*k**4/5 + 4*k**3/5 - 54*k**2/5 - 48*k/5 - 8/5 = 0. Calculate k.
-1, -2/9, 2
Find c such that c**4/7 - 37*c**3/7 + 9*c**2 + 241*c/7 + 20 = 0.
-1, 4, 35
Determine h, given that -h**3/5 + h**2/5 + 4*h/5 - 4/5 = 0.
-2, 1, 2
Factor -2*m**3/9 + 14*m**2/9 + 20*m/9 - 32/9.
-2*(m - 8)*(m - 1)*(m + 2)/9
Let -c**4/2 + 95*c**3/8 - 89*c**2/2 - 95*c/8 = 0. What is c?
-1/4, 0, 5, 19
Solve 2*v**4 - 6*v**3 - 18*v**2 + 54*v = 0 for v.
-3, 0, 3
Factor -2*t**4 + 22*t**2 + 36*t + 16.
-2*(t - 4)*(t + 1)**2*(t + 2)
Suppose 5*a**4 - 15*a**3 - 415*a**2 - 525*a + 2750 = 0. What is a?
-5, 2, 11
Solve -2*r**2/7 - 444*r/7 + 446/7 = 0 for r.
-223, 1
Factor -2*r**4/5 + 4*r**2/5 - 2/5.
-2*(r - 1)**2*(r + 1)**2/5
Factor 21*l**2 - 12*l - 384.
3*(l + 4)*(7*l - 32)
Factor -m**2 - 12*m.
-m*(m + 12)
Factor 2*s**2/15 - 4*s/3 + 16/5.
2*(s - 6)*(s - 4)/15
Find n such that -5*n**5 - 10*n**4 - 5*n**3 = 0.
-1, 0
Factor -4*q**3 + 136*q**2 + 284*q + 144.
-4*(q - 36)*(q + 1)**2
Let 32*s**5/5 - 48*s**4/5 - 6*s**3 - 4*s**2/5 = 0. Calculate s.
-1/4, 0, 2
Factor -r**2/2 + 41*r/2.
-r*(r - 41)/2
Factor 4*i**4 - 436*i**3 + 1280*i**2 - 848*i.
4*i*(i - 106)*(i - 2)*(i - 1)
Suppose -4*z**2 - 16488*z - 16990884 = 0. Calculate z.
-2061
Factor -j**2/2 + 75*j - 5625/2.
-(j - 75)**2/2
Factor -2*n**2/5 + 4*n + 30.
-2*(n - 15)*(n + 5)/5
Find r such that -25*r**5 - 190*r**4 + 105*r**3 + 190*r**2 - 80*r = 0.
-8, -1, 0, 2/5, 1
Determine l, given that -3*l**3 + 2514*l**2 = 0.
0, 838
Let -4563*m**5/2 - 5031*m**4 - 6483*m**3/2 - 516*m**2 - 24*m = 0. Calculate m.
-1, -4/39, 0
Find p such that -180*p**2 - 3608*p - 160 = 0.
-20, -2/45
Factor 2*d**4/17 - 74*d**3/17 - 616*d**2/17.
2*d**2*(d - 44)*(d + 7)/17
Let -2*f**4 + 4*f**3 + 90*f**2 + 68*f - 160 = 0. Calculate f.
-5, -2, 1, 8
What is a in -2*a**2 + 232*a + 234 = 0?
-1, 117
Factor 4*m**3/3 - 3*m**2 + 2*m/3.
m*(m - 2)*(4*m - 1)/3
Find j such that 8*j**5/5 + 4458*j**4/5 + 123876*j**3 - 467046*j**2/5 = 0.
-279, 0, 3/4
Suppose 2*c**4 - 17*c**3 + 39*c**2 - 8*c - 16 = 0. Calculate c.
-1/2, 1, 4
Factor -5*d**5 + 1100*d**4 - 59390*d**3 - 122100*d**2 - 61605*d.
-5*d*(d - 111)**2*(d + 1)**2
Let 8*x**4 - 72*x**3 + 154*x**2 + 72*x - 162 = 0. What is x?
-1, 1, 9/2
Suppose -2*k**3 + 594*k**2 + 1194*k + 598 = 0. What is k?
-1, 299
Let n**2/7 + 64*n + 7168 = 0. Calculate n.
-224
Solve 5*w**3 + 185*w**2 + 1500*w = 0.
-25, -12, 0
Determine t so that -4*t**2 - 1568*t - 3120 = 0.
-390, -2
Determine c, given that -2*c**2/3 - 596*c/3 - 590 = 0.
-295, -3
What is p in -p**5 + 36*p**3 - 22*p**2 - 147*p - 90 = 0?
-6, -1, 3, 5
Find y, given that 2*y**2/11 - 14*y/11 - 36/11 = 0.
-2, 9
Factor -6*p**2 - 9*p + 15.
-3*(p - 1)*(2*p + 5)
Find p, given that -36*p**5/7 - 64*p**4/7 + 124*p**3/7 - 24*p**2/7 = 0.
-3, 0, 2/9, 1
Factor 2*x**4/7 + 2*x**3/7 - 4*x**2 - 48*x/7.
2*x*(x - 4)*(x + 2)*(x + 3)/7
Determine q so that 4*q**3 - 3340*q**2 + 702208*q - 2076672 = 0.
3, 416
Factor 2*n**4 - 508*n**3/9 + 3640*n**2/9 - 784*n/9.
2*n*(n - 14)**2*(9*n - 2)/9
What is f in f**4/11 + 12*f**3/11 + 4*f**2/11 - 192*f/11 + 256/11 = 0?
-8, 2
Let -16*i**4/3 - 14*i**3 + 82*i**2/3 + 56*i - 24 = 0. Calculate i.
-3, -2, 3/8, 2
Factor 4*d**3 + 1496*d**2 + 4436*d - 5936.
4*(d - 1)*(d + 4)*(d + 371)
What is l in -3*l**5/2 - 54*l**4 - 1419*l**3/2 - 3885*l**2 - 5850*l + 10500 = 0?
-10, -7, 1
Factor -121*x**5/4 - 99*x**4 + 303*x**3/4 + 821*x**2/2 - 15*x - 450.
-(x + 2)**3*(11*x - 15)**2/4
Factor -g**4/4 + 7*g**3/2 - 17*g**2 + 65*g/2 - 75/4.
-(g - 5)**2*(g - 3)*(g - 1)/4
Solve -2*q**4/3 + 4429*q**3/6 - 9947*q**2/6 + 1105*q/3 = 0.
0, 1/4, 2, 1105
Factor -u**3/4 - 7*u**2/2 - 9*u/4 + 81.
-(u - 4)*(u + 9)**2/4
What is q in 12*q**3 + 208*q**2 + 436*q + 240 = 0?
-15, -4/3, -1
Find s, given that -s**3/2 + 15*s**2/2 - 27*s + 20 = 0.
1, 4, 10
Factor -4*l**3 - 16*l**2 - 12*l.
-4*l*(l + 1)*(l + 3)
Determine f so that 2*f**2/7 - 128*f + 1784/7 = 0.
2, 446
Determine d, given that 3*d**4/7 - 33*d**2/7 - 54*d/7 - 24/7 = 0.
-2, -1, 4
Factor 2*s**5/9 - 4*s**4/3 + 26*s**3/9 - 8*s**2/3 + 8*s/9.
2*s*(s - 2)**2*(s - 1)**2/9
Factor -n**4 + 6*n**3 - n**2 - 24*n - 16.
-(n - 4)**2*(n + 1)**2
Factor -l**3/2 + 279*l**2/2 + 1292*l + 1152.
-(l - 288)*(l + 1)*(l + 8)/2
Factor -r**3/2 - 19*r**2/3 - 23*r/6 + 2.
-(r + 1)*(r + 12)*(3*r - 1)/6
Suppose 5*x**5/4 + 89*x**4/2 + 943*x**3/4 - 203*x**2/2 = 0. What is x?
-29, -7, 0, 2/5
Factor -2*p**4/15 - 16*p**3/15 + 38*p**2/15 - 4*p/3.
-2*p*(p - 1)**2*(p + 10)/15
Let 124*q**4/3 + 332*q**3 + 300*q**2 + 28*q/3 = 0. What is q?
-7, -1, -1/31, 0
Find y, given that -20*y**2 + 88*y + 60 = 0.
-3/5, 5
Factor 4*y**5/7 + 60*y**4/7 + 32*y**3.
4*y**3*(y + 7)*(y + 8)/7
Factor -5*r**4 - 410*r**3 - 7420*r**2 + 46010*r + 194145.
-5*(r - 7)*(r + 3)*(r + 43)**2
Suppose -2*w**2 + 66*w = 0. Calculate w.
0, 33
Solve 2*c**3 - 74*c**2 = 0.
0, 37
Factor -3*p**2 - 960*p - 76800.
-3*(p + 160)**2
Factor -4*o**2/7 + 836*o/7 - 832/7.
-4*(o - 208)*(o - 1)/7
Find d, given that -4*d**3/7 + 2*d**2 - 6*d/7 = 0.
0, 1/2, 3
What is z in -3*z**5/2 - 63*z**4/2 - 225*z**3 - 510*z**2 + 684*z + 3024 = 0?
-7, -6, -4, 2
Determine m so that -3*m**3/8 + 6*m**2 - 105*m/8 - 39/2 = 0.
-1, 4, 13
Find h such that 4*h**5/3 + 340*h**4 + 21504*h**3 - 65536*h**2/3 = 0.
-128, 0, 1
Determine q so that 2*q**2/9 + 1112*q/9 + 154568/9 = 0.
-278
Factor -4*b**2 - 35832*b - 80245764.
-4*(b + 4479)**2
Determine y so that 11*y**4/10 + 8*y**3/5 - 89*y**2/10 + 43*y/5 - 12/5 = 0.
-4, 6/11, 1
Determine l so that -8*l**4/7 - 1308*l**3/7 + 282*l**2 - 989*l/7 + 165/7 = 0.
-165, 1/2
Factor -12*f**3/5 - 2*f**2 + 56*f/5 - 34/5.
-2*(f - 1)**2*(6*f + 17)/5
Suppose -12*h**2/5 - 8*h + 192/5 = 0. What is h?
-6, 8/3
Determine w, given that 4*w**3 + 120*w**2 + 548*w - 672 = 0.
-24, -7, 1
Find m such that 5*m**4/3 + 7*m**3/3 - 6*m**2 - 28*m/3 - 8/3 = 0.
-2, -1, -2/5, 2
Suppose -2*u**2/5 - 122*u/5 - 236/5 = 0. Calculate u.
-59, -2
Factor 5*f**3/4 - 20305*f**2/4 + 40595*f/4 - 20295/4.
5*(f - 4059)*(f - 1)**2/4
What is i in -i**3/3 - 121*i**2/3 + i/3 + 121/3 = 0?
-121, -1, 1
Suppose -2*u**3/3 - 26*u**2/3 - 52*u/3 + 80/3 = 0. What is u?
-10, -4, 1
What is x in 4*x**3/5 + 76*x**2/5 - 368*x/5 = 0?
-23, 0, 4
Suppose s**5/4 + 123*s**4/4 + 1460*s**3 + 33800*s**2 + 384000*s + 1720000 = 0. What is s?
-43, -20
Factor f**3/4 + 9*f**2.
f**2*(f + 36)/4
Factor 2*s**3/13 + 810*s**2/13 - 1628*s/13.
2*s*(s - 2)*(s + 407)/13
Let 27*x**5/2 - 3*x**4 - 135*x**3/2 + 15*x**2 + 54*x - 12 = 0. What is x?
-2, -1, 2/9, 1, 2
Let -3*n**4/4 + 2709*n**3/4 - 204525*n**2 + 20857500*n - 60750000 = 0. Calculate n.
3, 300
Factor 3*u**2/4 - 165*u/4 - 171/2.
3*(u - 57)*(u + 2)/4
Factor c**4/3 + 104*c**3/3 + 901*c**2 - 104*c/3 - 2704/3.
(c - 1)*(c + 1)*(c + 52)**2/3
Suppose 12*u**5 - 1647*u**4 + 55887*u**3 + 43263*u**2 - 14283*u = 0. Calculate u.
-1, 0, 1/4, 69
Factor 2*j**3 + 6*j**2 - 18*j + 10.
2*(j - 1)**2*(j + 5)
Factor 4*w**3 - 564*w**2 - 4*w + 564.
4*(w - 141)*(w - 1)*(w + 1)
Let -r**2/8 + 1971*r/4 - 3884841/8 = 0. Calculate r.
1971
Factor -q**3 - 354*q**2 - 30240*q + 194400.
-(q - 6)*(q + 180)**2
Find o, given that 16*o**3/9 - 82*o**2/9 - 86*o/9 + 4/3 = 0.
-1, 1/8, 6
Determine b, given that 3*b**4/4 - 24*b**3 + 717*b**2/4 + 204*b = 0.
-1, 0, 16, 17
Solve 3*s**3 + 9*s**2 + 6*s = 0.
-2, -1, 0
Factor v**3/5 + 22*v**2/5 + 41*v/5 + 4.
(v + 1)**2*(v + 20)/5
Factor 2*z**3 + 1434*z**2 + 257760*z + 256328.
2*(z + 1)*(z + 358)**2
Let -q**2/2 - 123*q + 247/2 = 0. What is q?
-247, 1
Let 4*t**2/3 - 560*t/3 + 19600/3 = 0. Calculate t.
70
Let -3*q**2 - 24*q - 48 = 0. Calculate q.
-4
Find b, given that -3*b**4 + 102*b**3 + 561*b**2 + 924*b + 468 = 0.
-2, -1, 39
Factor 15*h**3 - 235*h**2 + 150*h.
5*h*(h - 15)*(3*h - 2)
Factor -22*j**5/5 + 80*j**4 - 72*j**3/5.
-2*j**3*(j - 18)*(11*j - 2)/5
Factor -3*k**4/2 - 111*k**3/2 + 369*k**2 - 762*k + 516.
-3*(k - 2)**3*(k + 43)/2
Factor -13467*i**4/2 - 120399*i**3/2 + 3612*i**2 - 54*i.
-3*i*(i + 9)*(67*i - 2)**2/2
Factor -3*x**5/5 - 27*x**4/5 - 18*x**3 - 138*x**2/5 - 99*x/5 - 27/5.
-3*(x + 1)**3*(x + 3)**2/5
Let -2*a**3/19 + 10*a**2/19 + 26*a/19 + 14/19 = 0