culate q.
-5/7, 0, 1
Determine i so that 2*i**2/11 - 24*i/11 - 56/11 = 0.
-2, 14
What is k in -2*k**2/5 - 58*k/5 = 0?
-29, 0
Factor 2*m**3/5 - 42*m/5 + 8.
2*(m - 4)*(m - 1)*(m + 5)/5
Find u such that 2*u**4 + 2*u**3 - 32*u**2 - 32*u = 0.
-4, -1, 0, 4
Determine l, given that l**2 + 4*l - 5 = 0.
-5, 1
Factor -2*f**3 - 124*f**2 - 1722*f.
-2*f*(f + 21)*(f + 41)
Factor t**2/4 - 75*t/2 - 775/4.
(t - 155)*(t + 5)/4
Suppose 3*i**3/2 - 42*i**2 - 399*i/2 + 240 = 0. Calculate i.
-5, 1, 32
Solve -3*i**2 + 9324*i - 7244748 = 0.
1554
Factor -3*b**5 - 42*b**4 + 204*b**3 - 216*b**2.
-3*b**2*(b - 2)**2*(b + 18)
Factor z**5 - 3*z**4 - 9*z**3 - 5*z**2.
z**2*(z - 5)*(z + 1)**2
Let -4*c**2 + 688*c = 0. Calculate c.
0, 172
Factor 3*f**5 + 15*f**4 + 3*f**3 - 63*f**2 - 54*f.
3*f*(f - 2)*(f + 1)*(f + 3)**2
Factor a**2 + 38*a - 80.
(a - 2)*(a + 40)
Factor -3*q**3/4 - 363*q**2/4 - 705*q/4 + 1071/4.
-3*(q - 1)*(q + 3)*(q + 119)/4
Suppose 4*q**4 + 48*q**3 + 40*q**2 - 48*q - 44 = 0. Calculate q.
-11, -1, 1
Factor -a**2/6 - 595*a/6 + 298/3.
-(a - 1)*(a + 596)/6
Suppose 4*p**4/7 - 440*p**3/7 + 1968*p**2 - 13448*p/7 - 3583892/7 = 0. What is p?
-13, 41
Let -2*f**4 + 24*f**3 - 104*f**2 + 192*f - 128 = 0. Calculate f.
2, 4
What is i in 5*i**4 - 10*i**3 - 375*i**2 + 1260*i + 1620 = 0?
-9, -1, 6
Factor 3*g**2/2 + 213*g/2 - 108.
3*(g - 1)*(g + 72)/2
What is t in -3*t**3/2 - 1311*t**2/2 - 71940*t - 71286 = 0?
-218, -1
Factor 3*k**4 + 441*k**3.
3*k**3*(k + 147)
Determine c, given that 25*c**4/3 - 380*c**3 - 473*c**2/3 + 200*c - 92/3 = 0.
-1, 1/5, 2/5, 46
Factor 2*f**3/15 + 6*f**2/5 + 16*f/5 + 32/15.
2*(f + 1)*(f + 4)**2/15
Factor -f**2/8 - 341*f/2 + 1365/8.
-(f - 1)*(f + 1365)/8
Factor 5*r**4/3 - 25*r**3 + 45*r**2 - 65*r/3.
5*r*(r - 13)*(r - 1)**2/3
What is a in a**3/5 + 29*a**2/5 + 224*a/5 + 196/5 = 0?
-14, -1
Factor 4*u**4 + 20*u**3 + 24*u**2 - 16*u - 32.
4*(u - 1)*(u + 2)**3
Factor 2*m**3/3 + 20*m**2/3 - 2*m - 72.
2*(m - 3)*(m + 4)*(m + 9)/3
Factor 2*b**5/5 + 4*b**4/5 - 16*b**3/5.
2*b**3*(b - 2)*(b + 4)/5
Factor 5*u**2 + 140*u - 3225.
5*(u - 15)*(u + 43)
Factor -q**3 + 13*q**2 + 46*q + 32.
-(q - 16)*(q + 1)*(q + 2)
Factor -2*w**5 - 26*w**4 - 128*w**3 - 304*w**2 - 352*w - 160.
-2*(w + 2)**4*(w + 5)
Factor 2*q**3 + 84*q**2 - 174*q + 88.
2*(q - 1)**2*(q + 44)
Factor -r**2/3 - 727*r/3.
-r*(r + 727)/3
Let s**2/5 - 32*s/5 + 207/5 = 0. Calculate s.
9, 23
Determine p so that -2*p**3/5 + 2978*p**2/5 - 221414*p - 222010 = 0.
-1, 745
Solve 2*n**5/9 - 10*n**4/3 + 166*n**3/9 - 410*n**2/9 + 48*n - 160/9 = 0.
1, 4, 5
What is j in -4*j**2/7 + 24*j/7 - 32/7 = 0?
2, 4
Let 115*t**2 + 347*t + 6 = 0. Calculate t.
-3, -2/115
Determine x so that 2*x**5/9 + 2*x**4/3 - 2*x**3/9 - 22*x**2/9 - 8*x/3 - 8/9 = 0.
-2, -1, 2
Suppose 16*s**3/11 + 30*s**2/11 - 4*s/11 = 0. What is s?
-2, 0, 1/8
Factor -4*f**3/7 - 3*f**2/7 + 4*f/7 + 3/7.
-(f - 1)*(f + 1)*(4*f + 3)/7
Factor 27378*t**4 + 109980*t**3 + 111386*t**2 + 1880*t + 8.
2*(t + 2)**2*(117*t + 1)**2
Factor p**3/2 - 7*p/2 + 3.
(p - 2)*(p - 1)*(p + 3)/2
Factor -m**3/2 - m**2/4 + 7*m - 9.
-(m - 2)**2*(2*m + 9)/4
Factor 551*j**3/8 - 413*j**2 + 4947*j/8 + 9/4.
(j - 3)**2*(551*j + 2)/8
Factor -3*r**3/7 - 81*r**2/7 + 363*r/7 - 279/7.
-3*(r - 3)*(r - 1)*(r + 31)/7
Factor 3*m**4 - 9*m**3 - 3*m**2 + 9*m.
3*m*(m - 3)*(m - 1)*(m + 1)
Determine j, given that 4*j**5/7 + 20*j**4/7 + 12*j**3/7 - 36*j**2/7 = 0.
-3, 0, 1
Factor -2*f**2 - 72*f.
-2*f*(f + 36)
Let 3*m**3/2 - 99*m**2/2 + 504*m - 1632 = 0. Calculate m.
8, 17
Solve -d**2 + 226*d - 448 = 0 for d.
2, 224
Factor q**5/8 - q**4/8 - q**3/2 + q**2/2.
q**2*(q - 2)*(q - 1)*(q + 2)/8
What is n in -n**4/4 + 23*n**3/4 + 25*n**2/4 - 23*n/4 - 6 = 0?
-1, 1, 24
Suppose c**3/4 - c**2 - 15*c/4 + 9/2 = 0. Calculate c.
-3, 1, 6
Solve 4*b**5/5 - 4*b**4 + 8*b**3/5 + 56*b**2/5 - 12*b/5 - 36/5 = 0 for b.
-1, 1, 3
Determine l so that -2*l**5 - 254*l**4 + 2116*l**3 - 5892*l**2 + 6462*l - 2430 = 0.
-135, 1, 3
Factor 4*o**2 + 40*o + 64.
4*(o + 2)*(o + 8)
Find a, given that 5*a**4 + 730*a**3 + 4245*a**2 + 6320*a + 2800 = 0.
-140, -4, -1
Factor -u**3/9 - u**2/9.
-u**2*(u + 1)/9
Factor -2*z**4 + 8*z**2.
-2*z**2*(z - 2)*(z + 2)
Factor -a**3/8 + 7*a**2 + 57*a/8.
-a*(a - 57)*(a + 1)/8
What is y in -2*y**5/9 - 68*y**4/9 + 4*y**3/9 + 136*y**2/9 - 2*y/9 - 68/9 = 0?
-34, -1, 1
Factor 3*t**4 + 21*t**3 + 45*t**2 + 27*t.
3*t*(t + 1)*(t + 3)**2
Solve -2*p**3 - 2280*p**2 - 649800*p = 0.
-570, 0
Factor 15*w**5 - 7149*w**4 - 2862*w**3.
3*w**3*(w - 477)*(5*w + 2)
Factor -k**2/6 - 8*k/3 - 14/3.
-(k + 2)*(k + 14)/6
Determine z so that -2*z**2/11 + 334*z/11 + 1020/11 = 0.
-3, 170
Let 3*h**4 + 855*h**3 + 62187*h**2 + 180621*h + 119286 = 0. What is h?
-141, -2, -1
Solve 2*b**3/3 + 58*b**2 - 304*b + 736/3 = 0 for b.
-92, 1, 4
Find z such that 2*z**4/9 + 1150*z**3/3 + 165504*z**2 + 1486088*z/9 = 0.
-862, -1, 0
Suppose -75*m**4 - 985*m**3 - 1855*m**2 - 1055*m - 110 = 0. What is m?
-11, -1, -2/15
Factor 5*s**4 + 5*s**3 - 15*s**2 - 5*s + 10.
5*(s - 1)**2*(s + 1)*(s + 2)
Factor -33*t**5 + 72*t**4 - 45*t**3 + 6*t**2.
-3*t**2*(t - 1)**2*(11*t - 2)
Factor b**4/3 - 14*b**3/3 + 35*b**2/3 - 22*b/3.
b*(b - 11)*(b - 2)*(b - 1)/3
Factor -13448*s**3 - 26568*s**2 + 654*s - 4.
-2*(s + 2)*(82*s - 1)**2
Factor -p**2/2 + 971*p/2 - 969.
-(p - 969)*(p - 2)/2
Let -125*j**4 + 350*j**3 + 540*j**2 + 232*j + 32 = 0. Calculate j.
-2/5, 4
Find u, given that u**4/3 + 28*u**3 + 625*u**2/3 + 434*u + 760/3 = 0.
-76, -5, -2, -1
Solve -i**2/7 - 106*i/7 - 2809/7 = 0 for i.
-53
Find t, given that 5*t**3 + 1565*t**2 + 123240*t + 121680 = 0.
-156, -1
Determine j so that j**3/4 + 9*j**2/4 + 3*j/2 - 4 = 0.
-8, -2, 1
Factor 4*z**4 - 932*z**3 + 1852*z**2 - 924*z.
4*z*(z - 231)*(z - 1)**2
Suppose 3*v**5/7 - 3*v**4/7 - 3*v**3/7 + 3*v**2/7 = 0. What is v?
-1, 0, 1
Suppose 7*o**5/3 + 11*o**4 - 17*o**3/3 - 11*o**2 + 10*o/3 = 0. What is o?
-5, -1, 0, 2/7, 1
Factor -2*v**2/13 - 14*v/13 - 20/13.
-2*(v + 2)*(v + 5)/13
Solve 2*c**2 + 14*c/9 - 4/9 = 0.
-1, 2/9
Find i, given that 3*i**2 - 75*i + 378 = 0.
7, 18
Let 2*k**3/7 + 4*k**2/7 = 0. What is k?
-2, 0
Solve 10*r**4 - 75*r**3 - 135*r**2 - 5*r + 45 = 0.
-1, 1/2, 9
Determine c, given that 3*c**4 + 9*c**3 - 18*c**2 - 24*c = 0.
-4, -1, 0, 2
Find m, given that -m**4 - 494*m**3 - 68401*m**2 - 1825824*m - 13660416 = 0.
-231, -16
Determine b so that -5*b**3 - 140*b**2 - 265*b - 130 = 0.
-26, -1
Factor 5*l**4 + 120*l**3 - 535*l**2 + 690*l - 280.
5*(l - 2)*(l - 1)**2*(l + 28)
Determine j so that -2*j**5/13 - 294*j**4/13 - 3058*j**3/13 - 8986*j**2/13 - 1260*j/13 + 13600/13 = 0.
-136, -5, -2, 1
Factor -3*v**2 + 222*v.
-3*v*(v - 74)
Determine t so that t**2/5 + 182*t/5 + 8281/5 = 0.
-91
Let 3*t**4 - 18*t**3 - 540*t**2 + 4200*t = 0. Calculate t.
-14, 0, 10
Solve h**4 - 7*h**3 + 10*h**2 = 0 for h.
0, 2, 5
Factor q**4/10 + q**3/10 - q**2/2 + 3*q/10.
q*(q - 1)**2*(q + 3)/10
Factor 9*w**3 - 1119*w**2 - 750*w.
3*w*(w - 125)*(3*w + 2)
Solve 2*d**5/3 + 68*d**4/3 + 42*d**3 - 68*d**2/3 - 128*d/3 = 0 for d.
-32, -2, -1, 0, 1
Solve 4*g**5 + 8*g**4 - 68*g**3 - 136*g**2 + 64*g + 128 = 0 for g.
-4, -2, -1, 1, 4
Let -2*g**3 - 8*g**2 + 88*g + 192 = 0. Calculate g.
-8, -2, 6
Let -4*c**2 + 59912*c - 224340484 = 0. What is c?
7489
Factor p**4/6 - 14*p**3/3 + 2744*p/3 - 19208/3.
(p - 14)**3*(p + 14)/6
Let 24*y**2/7 - 117*y/7 - 15/7 = 0. What is y?
-1/8, 5
Factor 4*j**3 - 108*j**2 - 112*j.
4*j*(j - 28)*(j + 1)
Find g, given that -2*g**5/9 - 58*g**4/9 - 404*g**3/9 - 880*g**2/9 + 64*g/9 + 1280/9 = 0.
-20, -4, -2, 1
Let -25*u**3/4 - 15*u**2/4 + 5*u/2 = 0. Calculate u.
-1, 0, 2/5
Factor -l**2/3 + 355*l/3 + 356/3.
-(l - 356)*(l + 1)/3
Factor 4*d**4 + 44*d**3 + 136*d**2 + 96*d.
4*d*(d + 1)*(d + 4)*(d + 6)
Factor -10*q**3 + 315*q**2 + 1200*q + 875.
-5*(q - 35)*(q + 1)*(2*q + 5)
Factor 2*w**4/9 + 68*w**3/9 - 74*w**2/3.
2*w**2*(w - 3)*(w + 37)/9
Determine j so that -4*j**2 - 1680*j - 176400 = 0.
-210
Suppose 2*v**4/7 + 90*v**3/7 + 796*v**2/7 + 1560*v/7 - 2448/7 = 0. What is v?
-34, -6, 1
Solve -98*o**5 - 14*o**4/5 + 202*o**3 + 158*o**2/5 - 64*o + 56/5 = 0 for o.
-1, 2/7, 7/5
Factor 13068*b**4/7 + 25740*b**3/7 + 12279*b**2/7 - 390*b/7 + 3/7.
3*(b + 1)**2*(66*b - 1)**2/7
Determine c, given that -c**2/3 - 328*c = 0.
-984, 0
Factor -4*f**5 + 8*f**4 + 16*f**3 - 32*f**2.
-4*f**2*(f - 2)**2*(f + 2)
Suppose 21*o**5/4 