 0. Calculate k.
-2, -1, 0, 8
Suppose r**4/3 - r**3/3 - 10*r**2/3 - 8*r/3 = 0. What is r?
-2, -1, 0, 4
Factor -4*s**3 - 40*s**2 + 96*s.
-4*s*(s - 2)*(s + 12)
Find r such that 21*r**4/4 + 27*r**3/4 + 3*r**2/2 = 0.
-1, -2/7, 0
Determine x so that -2*x**3 + 70*x**2 + 322*x - 390 = 0.
-5, 1, 39
Factor 2*y**2/7 - 138*y/7.
2*y*(y - 69)/7
Factor 4*q**3 - 4032*q**2 + 1012020*q + 2040200.
4*(q - 505)**2*(q + 2)
What is g in -15*g**5/2 + 151*g**4 + 605*g**3/2 + 122*g**2 - 22*g = 0?
-1, 0, 2/15, 22
Suppose -3*i**3/4 - 189*i**2/2 - 3969*i - 55566 = 0. What is i?
-42
Determine i, given that -2*i**5 - 2*i**4 + 18*i**3 - 22*i**2 + 8*i = 0.
-4, 0, 1
Let 5*q**5 - 150*q**4 - 380*q**3 + 1720*q**2 + 6240*q + 5120 = 0. Calculate q.
-2, 4, 32
Solve 5*j**2 - 420*j - 3185 = 0.
-7, 91
Let -b**2/4 - 4*b - 15 = 0. Calculate b.
-10, -6
Determine k so that 10*k**5 - 195*k**4 + 575*k**3 - 240*k**2 = 0.
0, 1/2, 3, 16
Factor 2*y**3/9 - 818*y**2/9 + 83230*y/9 + 84050/9.
2*(y - 205)**2*(y + 1)/9
Factor 3*m**2 - 2172*m + 393132.
3*(m - 362)**2
What is u in -7*u**5/3 - 89*u**4/3 - 79*u**3/3 + 541*u**2/3 - 454*u/3 + 88/3 = 0?
-11, -4, 2/7, 1
Factor 5*v**2 - 31*v/3 + 2/3.
(v - 2)*(15*v - 1)/3
Factor -f**3/3 + 56*f**2/3 - 37*f/3 - 8214.
-(f - 37)**2*(f + 18)/3
Determine m so that m**5/3 + 7*m**4/3 - 49*m**3/3 - 19*m**2/3 + 120*m - 132 = 0.
-11, -3, 2, 3
Find u such that -10*u**2/3 + 8*u - 8/3 = 0.
2/5, 2
Factor -2*l**4 - 740*l**3 + 746*l**2 + 1484*l.
-2*l*(l - 2)*(l + 1)*(l + 371)
Let -6*r**5 + 38*r**4 + 156*r**3 - 668*r**2 - 1686*r + 630 = 0. Calculate r.
-3, 1/3, 5, 7
Determine a, given that -5*a**4 + 30*a**3 - 25*a**2 - 120*a + 180 = 0.
-2, 2, 3
Factor 2*q**4 - 2*q**3.
2*q**3*(q - 1)
Let -5*r**2 + 26440*r - 34953680 = 0. What is r?
2644
Find i such that -3*i**3 + 11*i**2 - 8*i - 4 = 0.
-1/3, 2
Suppose -3*l**2/2 + 2565*l/2 - 3834 = 0. What is l?
3, 852
What is n in -5*n**2 - 2070*n + 4160 = 0?
-416, 2
What is x in x**5/2 - x**4 - x**3/2 + x**2 = 0?
-1, 0, 1, 2
Determine r, given that -3*r**4 + 9*r**3 - 9*r**2 + 3*r = 0.
0, 1
Factor 3*m**5 + 219*m**4 + 5178*m**3 + 35850*m**2 - 88125*m + 46875.
3*(m - 1)**2*(m + 25)**3
Find u such that u**2/3 + 106*u + 8427 = 0.
-159
Solve -w**4/5 + 4*w**3/5 - 16*w/5 + 16/5 = 0 for w.
-2, 2
Factor 6*z**2 + 17*z/7 + 1/7.
(3*z + 1)*(14*z + 1)/7
Factor 4*u**3/5 + 456*u**2/5 - 924*u/5 + 464/5.
4*(u - 1)**2*(u + 116)/5
Factor -5*d**2 - 370*d - 365.
-5*(d + 1)*(d + 73)
What is z in 6*z**5/5 - 144*z**4/5 + 396*z**3/5 - 384*z**2/5 + 126*z/5 = 0?
0, 1, 21
Determine r, given that -23*r**3/3 - 119*r**2/3 - 112*r/3 - 16/3 = 0.
-4, -1, -4/23
Factor -2*o**4/5 + 238*o**3/5 + 484*o**2/5.
-2*o**2*(o - 121)*(o + 2)/5
Let -3*q**3 - 9*q**2 + 12*q = 0. Calculate q.
-4, 0, 1
Factor -2*y**2/9 - 116*y/9 + 256/3.
-2*(y - 6)*(y + 64)/9
Factor b**4/5 - 12*b**3/5 + 53*b**2/5 - 102*b/5 + 72/5.
(b - 4)*(b - 3)**2*(b - 2)/5
Factor -2*g**3 + 80*g**2 + 542*g + 460.
-2*(g - 46)*(g + 1)*(g + 5)
Suppose 2*g**2 + 504*g + 31752 = 0. Calculate g.
-126
Factor -a**5/2 - a**4 - a**3/2.
-a**3*(a + 1)**2/2
Find u, given that -4*u**5/7 + 20*u**4/7 - 12*u**3/7 - 68*u**2/7 + 16*u - 48/7 = 0.
-2, 1, 2, 3
Suppose 5*y**5 + 20*y**4 - 35*y**3 - 50*y**2 = 0. What is y?
-5, -1, 0, 2
Let 3*d**4 + 57*d**3 + 51*d**2 - 57*d - 54 = 0. What is d?
-18, -1, 1
Solve 2*o**2 + 64*o + 512 = 0.
-16
Find f such that -4*f**3/7 - 40*f**2/7 - 12*f = 0.
-7, -3, 0
Determine r, given that 24*r**2/5 + 33*r/5 + 9/5 = 0.
-1, -3/8
Factor d**2/5 - 203*d/5 - 82.
(d - 205)*(d + 2)/5
Solve 2*b**5/9 - 17*b**4/9 - 34*b**3/9 + 37*b**2/9 + 32*b/9 - 20/9 = 0.
-2, -1, 1/2, 1, 10
Let -16*z**5 + 86*z**4 - 14*z**3 - 86*z**2 + 30*z = 0. Calculate z.
-1, 0, 3/8, 1, 5
Factor -6*n**2/5 - 13164*n/5.
-6*n*(n + 2194)/5
Solve -2*t**5/7 - 2*t**4 - 12*t**3/7 + 64*t**2/7 + 64*t/7 = 0 for t.
-4, -1, 0, 2
Solve 25*i**2/3 - 5*i - 40/3 = 0 for i.
-1, 8/5
Factor -m**3/6 + 28*m**2/3 + 58*m/3.
-m*(m - 58)*(m + 2)/6
Factor -5*z**5/4 + 35*z**4 - 180*z**3 + 340*z**2 - 220*z.
-5*z*(z - 22)*(z - 2)**3/4
Factor 2*z**2 + 32*z + 56.
2*(z + 2)*(z + 14)
Factor 3*d**3 - 315*d**2 + 11025*d - 128625.
3*(d - 35)**3
Factor -4*f**2 - 144*f.
-4*f*(f + 36)
Let 7*k**5/5 - 6*k**4 + 22*k**3/5 + 24*k**2/5 - 29*k/5 + 6/5 = 0. What is k?
-1, 2/7, 1, 3
Determine k, given that -3*k**2 + 48*k - 192 = 0.
8
Factor -4*y**2 + 528*y - 524.
-4*(y - 131)*(y - 1)
Factor -2*u**2/3 + 980*u/3 + 656.
-2*(u - 492)*(u + 2)/3
Factor 3*h**2/5 - 29*h/5 + 8.
(h - 8)*(3*h - 5)/5
Let 2*w**4/7 - 22*w**3/7 - 78*w**2/7 - 82*w/7 - 4 = 0. Calculate w.
-1, 14
Suppose -15*t**3/2 + 31*t**2/2 - 17*t/2 + 1/2 = 0. What is t?
1/15, 1
Factor d**3/6 + 35*d**2/6 + 137*d/3 + 100.
(d + 4)*(d + 6)*(d + 25)/6
Find o, given that 3*o**5 + 24*o**4 - 36*o**3 - 78*o**2 + 33*o + 54 = 0.
-9, -1, 1, 2
What is v in 5*v**5 - 95*v**4 + 395*v**3 + 595*v**2 - 400*v - 500 = 0?
-1, 1, 10
Find j such that -2*j**4/11 - 2*j**3 - 58*j**2/11 + 2*j + 60/11 = 0.
-6, -5, -1, 1
Suppose -25*f**5 - 355*f**4 - 1445*f**3 - 1325*f**2 - 210*f = 0. What is f?
-7, -6, -1, -1/5, 0
Solve -x**3/2 + 39*x**2 - 153*x/2 + 38 = 0.
1, 76
Factor 5*f**5 - 40*f**4 + 20*f**3 + 130*f**2 - 185*f + 70.
5*(f - 7)*(f - 1)**3*(f + 2)
Factor -3*f**3 + 231*f**2 - 2904*f - 63888.
-3*(f - 44)**2*(f + 11)
Let -3*z**2 + 168*z - 165 = 0. Calculate z.
1, 55
Factor 2*v**4/5 + 68*v**3/5 - 74*v**2/5 - 28*v.
2*v*(v - 2)*(v + 1)*(v + 35)/5
Factor -4*l**2 - 32*l - 64.
-4*(l + 4)**2
Factor -2*q**2/5 + 32*q.
-2*q*(q - 80)/5
Factor -6561*w**3 - 324*w**2 - 4*w.
-w*(81*w + 2)**2
Factor 4*n**3 + 1212*n**2 + 122412*n + 4121204.
4*(n + 101)**3
Factor o**2/2 - 4*o + 8.
(o - 4)**2/2
Factor r**5/4 + 15*r**4/4 - 17*r**3/2 + r**2/2 + 33*r/4 - 17/4.
(r - 1)**3*(r + 1)*(r + 17)/4
Factor -3*z**2 + 45*z.
-3*z*(z - 15)
Solve -2*o**4/9 - 2*o**3/3 + 6*o**2 + 118*o/9 + 20/3 = 0.
-6, -1, 5
Let -o**2 + 2*o + 8 = 0. Calculate o.
-2, 4
Factor v**2/2 - 3*v/2.
v*(v - 3)/2
Factor -f**2/3 - 4*f - 9.
-(f + 3)*(f + 9)/3
Suppose -3*n**5 + 84*n**4 + 99*n**3 - 336*n**2 - 348*n = 0. Calculate n.
-2, -1, 0, 2, 29
Factor 35*p**2/3 + 22*p/3 + 1.
(5*p + 1)*(7*p + 3)/3
Factor -a**4/4 - 7*a**3/4 - 17*a**2/4 - 17*a/4 - 3/2.
-(a + 1)**2*(a + 2)*(a + 3)/4
Factor -p**3 - 262*p**2 - 17673*p - 66564.
-(p + 4)*(p + 129)**2
Let 2*a**5 + 22*a**4 + 68*a**3 + 48*a**2 = 0. Calculate a.
-6, -4, -1, 0
Factor u**2/10 + u/5 - 3/10.
(u - 1)*(u + 3)/10
Solve 2*h**3/13 + 56*h**2/13 = 0 for h.
-28, 0
Factor 2*k**2/13 - 6044*k/13 + 4566242/13.
2*(k - 1511)**2/13
Factor -44*r**2/3 - 20*r/3 + 8.
-4*(r + 1)*(11*r - 6)/3
Factor k**5/3 - 7*k**4 + 24*k**3 - 68*k**2/3.
k**2*(k - 17)*(k - 2)**2/3
Let 8*u**5/13 + 86*u**4/13 + 316*u**3/13 + 448*u**2/13 + 192*u/13 = 0. Calculate u.
-4, -2, -3/4, 0
Factor -4*g**4 + 56*g**3 + 124*g**2 + 64*g.
-4*g*(g - 16)*(g + 1)**2
Let -90*c**4 - 357*c**3 + 461*c**2 - 32*c - 60 = 0. What is c?
-5, -3/10, 2/3
Solve 26*j**3/9 - 412*j**2/9 + 1600*j/9 + 256/9 = 0 for j.
-2/13, 8
Factor -3*z**2/5 - 3*z + 30.
-3*(z - 5)*(z + 10)/5
Factor -3*m**3/5 - 9*m**2/5 + 12*m/5.
-3*m*(m - 1)*(m + 4)/5
Solve 348*l**2 + 8*l = 0 for l.
-2/87, 0
Factor 5*a**2 - 10*a - 175.
5*(a - 7)*(a + 5)
Suppose q**2 + q = 0. What is q?
-1, 0
Let 2*w**4/7 + 24*w**3/7 + 38*w**2/7 - 24*w/7 - 40/7 = 0. Calculate w.
-10, -2, -1, 1
Factor 5*j**4 + 10*j**3 - 5*j**2 - 10*j.
5*j*(j - 1)*(j + 1)*(j + 2)
Suppose 39*c**4/2 + 141*c**3 + 378*c**2 + 444*c + 192 = 0. What is c?
-2, -16/13
Factor -10*q**3 - 6*q**2 + 64*q - 24.
-2*(q - 2)*(q + 3)*(5*q - 2)
Solve -4*u**2 - 776*u - 2292 = 0 for u.
-191, -3
Solve q**4 + 252*q**3 + 15622*q**2 - 32004*q + 16129 = 0 for q.
-127, 1
What is n in -32*n**5 - 2*n**4 + 416*n**3 - 358*n**2 - 24*n = 0?
-4, -1/16, 0, 1, 3
Solve 3*y**5/4 - 471*y**4 + 74415*y**3 - 292965*y**2/2 - 297663*y/4 + 293907/2 = 0.
-1, 1, 2, 313
Factor -2*s**3/5 + 14*s**2 - 196*s/5 + 128/5.
-2*(s - 32)*(s - 2)*(s - 1)/5
Factor -h**2 - 1668*h - 695556.
-(h + 834)**2
Factor 3*c**3 - 3*c**2 - 3*c + 3.
3*(c - 1)**2*(c + 1)
Find m, given that 4*m**5 - 12*m**4 - 20*m**3 + 12*m**2 + 16*m = 0.
-1, 0, 1, 4
Factor 5*z**4 + 125*z**3 - 405*z**2 + 415*z - 140.
5*(z - 1)**3*(z + 28)
Factor 4*h**5 + 8*h**4 - 32*h**3 - 72*h**2 - 36*h.
4*h*(h - 3)*(h + 1)**2*(h + 3)
Let 32*q**5/7 - 2448*q**4/7 + 174*q**3 - 152*q**2/7 = 0. Calculate q.
0, 1/4, 76
Factor 3*p**2 + 144*p - 147.
3*