y**3 - 132*y**2 - 1452*y = 0.
-22, -1, 0, 1
Determine i, given that 3*i**2 + 27*i - 1326 = 0.
-26, 17
Suppose 5*z**2 + 1510*z + 114005 = 0. What is z?
-151
Solve -2*i**3/9 + 32*i**2/9 - 88*i/9 - 320/9 = 0.
-2, 8, 10
Suppose -n**3/4 - 25*n**2/4 - 18*n + 63 = 0. Calculate n.
-21, -6, 2
Factor -5*g**4 + 260*g**3 - 4590*g**2 + 28900*g - 24565.
-5*(g - 17)**3*(g - 1)
What is z in z**2 + 3602*z + 3243601 = 0?
-1801
Let n**4 - 6*n**3 - 47*n**2 + 168*n + 784 = 0. What is n?
-4, 7
Solve -9*s**2/5 - 39*s/5 - 36/5 = 0 for s.
-3, -4/3
Factor 129*b**2 - 1284*b - 60.
3*(b - 10)*(43*b + 2)
Suppose d**2/5 + 19*d/5 + 48/5 = 0. What is d?
-16, -3
Factor 5*y**3 + 1020*y**2 + 53025*y + 102010.
5*(y + 2)*(y + 101)**2
Suppose -2*s**5 - 46*s**4 - 220*s**3 + 316*s**2 + 222*s - 270 = 0. Calculate s.
-15, -9, -1, 1
Suppose 2*s**2/7 + 1856*s/7 + 430592/7 = 0. What is s?
-464
Solve 2*m**3/5 + 72*m**2 + 3240*m = 0 for m.
-90, 0
Suppose -2*v**2/3 + 8*v/3 + 14 = 0. What is v?
-3, 7
Suppose 5*u**5 + 55*u**4 - 270*u**3 + 430*u**2 - 295*u + 75 = 0. Calculate u.
-15, 1
Factor -2*j**5/11 + 188*j**4/11 - 368*j**3/11.
-2*j**3*(j - 92)*(j - 2)/11
Solve 2*n**5 - 20*n**4 + 78*n**3 - 148*n**2 + 136*n - 48 = 0 for n.
1, 2, 3
Factor -2*v**2 - 17*v - 8.
-(v + 8)*(2*v + 1)
Factor -v**2 - 512*v - 511.
-(v + 1)*(v + 511)
Determine g, given that -g**5/6 + 5*g**4/6 - 7*g**3/6 - g**2/6 + 4*g/3 - 2/3 = 0.
-1, 1, 2
Factor -2*m**3/9 - 32*m**2/9 - 58*m/9 - 28/9.
-2*(m + 1)**2*(m + 14)/9
Determine h so that -2*h**5/13 + 12*h**4/13 - 18*h**3/13 + 8*h**2/13 = 0.
0, 1, 4
Factor -2*b**2/17 + 1332*b/17 - 221778/17.
-2*(b - 333)**2/17
What is f in 2*f**2/15 - 28*f/3 = 0?
0, 70
Let 4*x**3 + 40*x**2 - 208*x + 224 = 0. What is x?
-14, 2
Find u such that -15*u**4 + 129*u**3 - 306*u**2 + 156*u + 120 = 0.
-2/5, 2, 5
Find g such that -108*g**2 - 316*g + 24 = 0.
-3, 2/27
Factor 2*v**4/19 - 16*v**3/19 + 26*v**2/19 - 12*v/19.
2*v*(v - 6)*(v - 1)**2/19
Factor -3*o**3 - 1182*o**2 - 115236*o + 235224.
-3*(o - 2)*(o + 198)**2
Suppose 3*o**3/2 - 103*o**2/4 + 197*o/4 - 15/2 = 0. What is o?
1/6, 2, 15
Suppose 4*s**2/3 + 908*s/3 + 896 = 0. What is s?
-224, -3
Factor -4*o**3/5 - 56*o**2/5.
-4*o**2*(o + 14)/5
Find a, given that -a**4 + 7*a**3 - 17*a**2 + 17*a - 6 = 0.
1, 2, 3
Factor -3*o**5/2 - 18*o**4.
-3*o**4*(o + 12)/2
Factor -4*a**4 - 128*a**3 - 572*a**2 - 880*a - 432.
-4*(a + 1)*(a + 2)**2*(a + 27)
Determine s so that 5*s**5 + 5*s**4 - 60*s**3 + 20*s**2 + 80*s = 0.
-4, -1, 0, 2
Factor 2*p**5 + 2*p**4 - 6*p**3 - 10*p**2 - 4*p.
2*p*(p - 2)*(p + 1)**3
Find r such that 2*r**5/7 + 16*r**4/7 - 6*r**3/7 - 52*r**2/7 - 32*r/7 = 0.
-8, -1, 0, 2
Solve n**5/3 - 3*n**4 - 2*n**3/3 + 6*n**2 + n/3 - 3 = 0 for n.
-1, 1, 9
Suppose 54*o**2 - 147*o + 30 = 0. Calculate o.
2/9, 5/2
Suppose 26*z**2 + 23*z - 3 = 0. What is z?
-1, 3/26
Determine n, given that 2*n**4 - 24*n**3 + 94*n**2 - 144*n + 72 = 0.
1, 2, 3, 6
Find m, given that -m**5/5 - m**4 - 7*m**3/5 - 3*m**2/5 = 0.
-3, -1, 0
Let 2*y**4/25 + 308*y**3/25 + 2178*y**2/5 - 3008*y + 2560 = 0. What is y?
-80, 1, 5
Find q, given that -4*q**5 + 488*q**4 - 2376*q**3 + 4240*q**2 - 3284*q + 936 = 0.
1, 2, 117
Factor -2*m**4/11 - 12*m**3/11 + 30*m**2/11 - 16*m/11.
-2*m*(m - 1)**2*(m + 8)/11
Find p, given that p**3/4 + 5*p**2/4 = 0.
-5, 0
Factor -7*i**4 + 261*i**3 - 1544*i**2 + 420*i.
-i*(i - 30)*(i - 7)*(7*i - 2)
Factor 5*l**4 + 20*l**3 - 25*l**2.
5*l**2*(l - 1)*(l + 5)
Factor -j**2/7 - 228*j/7 + 460/7.
-(j - 2)*(j + 230)/7
Find f, given that -15*f**4 - 66*f**3 + 381*f**2 + 1512*f + 540 = 0.
-6, -3, -2/5, 5
Factor -2*t**3 + 24*t - 32.
-2*(t - 2)**2*(t + 4)
Solve 108*f**5 - 3441*f**4/5 + 5966*f**3/5 - 1213*f**2/5 - 876*f/5 - 36/5 = 0.
-1/4, -2/45, 2/3, 3
Let 2*d**3/5 + 12*d**2/5 = 0. What is d?
-6, 0
Factor -2*l**2/11 + 168*l/11 - 3528/11.
-2*(l - 42)**2/11
Factor 3*m**2 - 9*m.
3*m*(m - 3)
Find b, given that -3*b**4 + 12*b**3 - 48*b + 48 = 0.
-2, 2
Determine j so that 2*j**4/11 - 116*j**3/11 + 1986*j**2/11 - 8632*j/11 + 6760/11 = 0.
1, 5, 26
Factor 4*o**3 + 12*o**2.
4*o**2*(o + 3)
Factor -t**2/10 - 2*t/5 + 1/2.
-(t - 1)*(t + 5)/10
What is l in 4*l**2 - 32*l + 64 = 0?
4
Factor -4*s**2 - 1144*s - 1140.
-4*(s + 1)*(s + 285)
Factor 2*y**2 - 110*y.
2*y*(y - 55)
Solve r**3 + 484*r**2 = 0 for r.
-484, 0
Let j**2/4 + 23*j/2 + 513/4 = 0. Calculate j.
-27, -19
Find w such that 3*w**2/7 - 318*w/7 - 981/7 = 0.
-3, 109
Factor 5*p**4 - 15*p**3 - 5*p**2 + 15*p.
5*p*(p - 3)*(p - 1)*(p + 1)
Find m, given that -5*m**3 + 45*m**2 - 75*m - 125 = 0.
-1, 5
Factor 4*j**2 - 796*j.
4*j*(j - 199)
Factor -4*h**3 - 1288*h**2 - 2564*h - 1280.
-4*(h + 1)**2*(h + 320)
Solve -4*q**4 - 8*q**3 + 64*q**2 + 8*q - 60 = 0.
-5, -1, 1, 3
Determine b, given that b**3/5 + 78*b**2/5 - 81*b/5 - 158/5 = 0.
-79, -1, 2
Let -q**3/5 - 464*q**2/5 - 461*q/5 + 926/5 = 0. Calculate q.
-463, -2, 1
Find a such that -3*a**2 - 369*a + 372 = 0.
-124, 1
Suppose -7*w**2/4 - 1928*w + 551 = 0. Calculate w.
-1102, 2/7
Find k such that 12*k**2 + 363*k - 279 = 0.
-31, 3/4
What is y in -y**3/3 - 77*y**2/6 - 19*y/3 = 0?
-38, -1/2, 0
Suppose -p**2/2 + 31*p/2 + 70 = 0. What is p?
-4, 35
Let -3*i**5 + 43*i**4 - 48*i**3 - 52*i**2 = 0. What is i?
-2/3, 0, 2, 13
Factor 2*s**2 - 8*s + 6.
2*(s - 3)*(s - 1)
Suppose -2*d**2/3 - 148*d/3 - 272 = 0. What is d?
-68, -6
Let z**2/2 + 103*z/2 + 506 = 0. Calculate z.
-92, -11
Factor 2*o**3/11 + 634*o**2/11 + 50560*o/11 + 49928/11.
2*(o + 1)*(o + 158)**2/11
Factor o**4/4 + 3*o**3/2 + 13*o**2/4 + 3*o + 1.
(o + 1)**2*(o + 2)**2/4
Let 80*j**5 + 116*j**4 - 40*j**3 - 112*j**2 - 40*j - 4 = 0. Calculate j.
-1, -1/4, -1/5, 1
Factor -s**2/7 - 26*s/7 - 120/7.
-(s + 6)*(s + 20)/7
Determine x so that -2*x**2 + 6*x + 80 = 0.
-5, 8
Let 5*p**3/2 - 15*p**2/2 - 595*p = 0. Calculate p.
-14, 0, 17
Factor -147*o**3/2 + 2562*o**2 - 4311*o/2 + 459.
-3*(o - 34)*(7*o - 3)**2/2
Factor 2*a**4/7 - 16*a**3/7 + 36*a**2/7 - 54/7.
2*(a - 3)**3*(a + 1)/7
What is v in 6*v**5 - 5*v**4 - 31*v**3 - 23*v**2 - 3*v = 0?
-1, -1/6, 0, 3
Factor 55*s**2 + 755*s - 1050.
5*(s + 15)*(11*s - 14)
Let x**3/4 - 21*x**2 + 288*x + 6912 = 0. Calculate x.
-12, 48
Determine c so that 30*c**5 + 1712*c**4 - 5280*c**3 + 96*c**2 + 5792*c + 1920 = 0.
-60, -2/3, -2/5, 2
Factor 3*f**3/8 + 135*f**2/8 - 279*f/8 + 141/8.
3*(f - 1)**2*(f + 47)/8
Factor -3*q**3 + 24*q**2 + 27*q.
-3*q*(q - 9)*(q + 1)
Determine w so that w**4/3 + 43*w**3/3 + 215*w**2 + 1275*w + 2250 = 0.
-15, -10, -3
Let 35*y**3 + 290*y**2 + 500*y + 120 = 0. Calculate y.
-6, -2, -2/7
Solve -4*v**2/7 + 384*v/7 - 9216/7 = 0.
48
Suppose 2*r**3/13 - 916*r**2/13 = 0. Calculate r.
0, 458
Suppose -10*i**3 - 224*i**2 + 142*i + 92 = 0. What is i?
-23, -2/5, 1
What is n in -4*n**3 + 3536*n**2 - 3532*n = 0?
0, 1, 883
Suppose -2*w**4/3 - 14*w**3/3 - 8*w**2 = 0. What is w?
-4, -3, 0
Find d, given that -7*d**2/3 - 1171*d/3 - 334/3 = 0.
-167, -2/7
Factor -4*g**3/7 + 296*g**2/7 + 1884*g/7 + 2880/7.
-4*(g - 80)*(g + 3)**2/7
Let 908*s**3/3 + 604*s**2 + 300*s - 4/3 = 0. Calculate s.
-1, 1/227
Solve -2*b**5 - 42*b**4 - 134*b**3 + 66*b**2 + 568*b + 408 = 0.
-17, -3, -2, -1, 2
Suppose -4*d**3 - 180*d**2 + 1864*d - 4320 = 0. What is d?
-54, 4, 5
Determine u so that -11*u**3/4 + 61*u**2 - 11*u = 0.
0, 2/11, 22
What is t in -t**3 + 57*t**2 - 164*t + 108 = 0?
1, 2, 54
Determine f so that -2*f**3/7 - 236*f**2/7 - 912*f/7 = 0.
-114, -4, 0
Factor -2*d**2 + 320*d - 12800.
-2*(d - 80)**2
Determine p so that p**2/4 - 13*p/4 - 7/2 = 0.
-1, 14
Suppose 20*i**5 + 187*i**4 - 20*i**3 - 775*i**2 - 240*i + 108 = 0. Calculate i.
-9, -2, -3/5, 1/4, 2
Factor c**2/4 - 47*c/2 + 2209/4.
(c - 47)**2/4
Factor 3*q**3 - 39*q**2 + 153*q - 189.
3*(q - 7)*(q - 3)**2
Factor 35*q**3 + 65*q**2 - 180*q - 180.
5*(q - 2)*(q + 3)*(7*q + 6)
Factor -2*v**4 + 620*v**3 - 65448*v**2 + 2489044*v - 14424214.
-2*(v - 101)**3*(v - 7)
Solve 4*p**5 - 32*p**4 + 72*p**3 - 16*p**2 - 76*p + 48 = 0 for p.
-1, 1, 3, 4
Determine b so that 4*b**2/3 - 11888*b/3 + 8832784/3 = 0.
1486
Let -2*t**5 - 8*t**4 + 14*t**3 + 20*t**2 = 0. Calculate t.
-5, -1, 0, 2
Let o**2/3 - 8*o + 23/3 = 0. Calculate o.
1, 23
Factor -z**3 + 21*z**2/4 - 9*z/2 - 27/4.
-(z - 3)**2*(4*z + 3)/4
Determine z, given that 3*z**4 + 264*z**3 + 6870*z**2 + 43056*z - 50193 = 0.
-39, -11, 1
Suppose -3*x**2 + 10605*x + 10608 = 0. What is x?
-1, 353