+ 587*v**2/4 - 5*v/2 = 0. Calculate v.
-1, 0, 2/119, 5
Factor 22*h**4/3 + 202*h**3/3 + 210*h**2 + 234*h + 36.
2*(h + 3)**3*(11*h + 2)/3
Find w, given that 3*w**3/2 - 89*w**2/4 - 5*w + 75/4 = 0.
-1, 5/6, 15
Find q, given that -5*q**3 + 185*q**2 - 355*q + 175 = 0.
1, 35
Factor 3*y**3/7 - 1296*y/7 + 10368/7.
3*(y - 12)**2*(y + 24)/7
Factor 4*a**2 - 2072*a - 6252.
4*(a - 521)*(a + 3)
Let 4*r**3 - 48*r**2 + 180*r - 216 = 0. What is r?
3, 6
What is h in 4*h**2/3 - 13*h + 35/3 = 0?
1, 35/4
Suppose -f**2/5 + 796*f/5 - 158404/5 = 0. Calculate f.
398
Factor -4*k**2 + 7112*k.
-4*k*(k - 1778)
Solve 60*w**5 - 9440*w**4 + 12515*w**3 - 5465*w**2 + 780*w = 0.
0, 1/3, 1/2, 156
Factor -w**2/5 - 132*w/5 - 4356/5.
-(w + 66)**2/5
Find b such that -b**2 + 308*b - 307 = 0.
1, 307
What is h in h**3/3 - 2*h**2 + 3*h - 4/3 = 0?
1, 4
Suppose -3*u**4 - 63*u**3 - 60*u**2 = 0. Calculate u.
-20, -1, 0
Factor 2*q**4/15 + 4*q**3/3 - 104*q**2/15 + 112*q/15.
2*q*(q - 2)**2*(q + 14)/15
Solve -2*n**3 - 15*n**2 + 27*n = 0.
-9, 0, 3/2
Find p such that 3*p**3/2 + 21*p**2 - 45*p/2 = 0.
-15, 0, 1
Factor -12*c**2 - 7336*c - 2444.
-4*(c + 611)*(3*c + 1)
Let 2*c**3/5 - 2*c**2/5 - 18*c/5 + 18/5 = 0. Calculate c.
-3, 1, 3
Suppose -a**4 - 3*a**3 + 567*a**2 - 6561*a + 21870 = 0. Calculate a.
-30, 9
Factor 2*s**4 + 24*s**3 + 54*s**2.
2*s**2*(s + 3)*(s + 9)
Determine i so that 6*i**5 + 855*i**4 - 435*i**3 - 855*i**2 + 429*i = 0.
-143, -1, 0, 1/2, 1
Factor 3*r**4/2 + 177*r**3/2 + 2697*r**2/2 + 2523*r/2.
3*r*(r + 1)*(r + 29)**2/2
Factor -245*g**2 + 25*g + 270.
-5*(g + 1)*(49*g - 54)
Find d such that -5*d**5/3 + 6*d**4 + 43*d**3/3 - 12*d**2 - 20*d/3 = 0.
-2, -2/5, 0, 1, 5
Suppose c**2 - 38*c + 361 = 0. Calculate c.
19
Factor c**3/3 + 5*c**2/3 - 4*c/3 - 20/3.
(c - 2)*(c + 2)*(c + 5)/3
Let -5*j**2 + 70*j - 200 = 0. What is j?
4, 10
Factor -36*g**4 + 143232*g**3 - 142515832*g**2 + 94962816*g - 15824484.
-4*(g - 1989)**2*(3*g - 1)**2
Factor 3*i**2 - 1800*i + 3588.
3*(i - 598)*(i - 2)
Suppose w**5 + 8*w**4 + 13*w**3 + 6*w**2 = 0. Calculate w.
-6, -1, 0
Factor -b**4/3 + 2*b**3 - 4*b**2/3 - 2*b + 5/3.
-(b - 5)*(b - 1)**2*(b + 1)/3
Solve 3*w**5 - 6*w**4 - 105*w**3 + 216*w**2 - 108*w = 0.
-6, 0, 1, 6
Suppose -2*z**5/15 + 14*z**4/15 + 6*z**3 - 110*z**2/3 - 728*z/15 + 392/5 = 0. What is z?
-6, -2, 1, 7
Find g such that -15*g**3 + 515*g**2 - 170*g = 0.
0, 1/3, 34
Factor b**4/2 - 23*b**3/2 - 14*b**2 + 880*b.
b*(b - 20)*(b - 11)*(b + 8)/2
Suppose -8*y**4/7 + 18*y**3/7 - 4*y**2/7 = 0. Calculate y.
0, 1/4, 2
Let -8*o**5 - 20*o**4 - 4*o**3 + 8*o**2 = 0. What is o?
-2, -1, 0, 1/2
Suppose 5*q**2 + 215*q + 1760 = 0. Calculate q.
-32, -11
Determine j so that 5*j**2 - 27*j + 10 = 0.
2/5, 5
Factor 2*r**3/5 + 508*r**2/5 + 202*r + 504/5.
2*(r + 1)**2*(r + 252)/5
Solve 4*u**5 - 32*u**4/3 - 116*u**3/3 + 232*u**2/3 - 32*u = 0 for u.
-3, 0, 2/3, 1, 4
Factor -z**3/4 + z**2/4 + z/4 - 1/4.
-(z - 1)**2*(z + 1)/4
Let 3*v**4/7 - 270*v**3/7 - 552*v**2/7 = 0. Calculate v.
-2, 0, 92
Solve 3*r**4 - 21*r**3 - 51*r**2 - 27*r = 0.
-1, 0, 9
Factor 9*r**3 - 249*r**2 + 1422*r - 840.
3*(r - 20)*(r - 7)*(3*r - 2)
Factor 2*k**4 + 49*k**3 + 99*k**2 - 3105*k - 4725.
(k - 7)*(k + 15)**2*(2*k + 3)
Factor -m**2 + 14*m - 49.
-(m - 7)**2
Find j such that 11*j**4/2 - 37*j**3/4 - 4*j**2 + j = 0.
-1/2, 0, 2/11, 2
Factor 10*y**3 - 958*y**2 + 117078*y/5 - 112338/5.
2*(y - 1)*(5*y - 237)**2/5
Factor -n**2/3 - 2*n/3 + 1.
-(n - 1)*(n + 3)/3
Let -15*v**5/4 - 25*v**4/2 - 45*v**3/4 - 5*v**2/2 = 0. Calculate v.
-2, -1, -1/3, 0
Determine f, given that 4*f**2 - 1768*f = 0.
0, 442
Factor i**2/8 + 20*i + 800.
(i + 80)**2/8
Factor -w**3/3 + 11*w**2/3 - 31*w/3 + 7.
-(w - 7)*(w - 3)*(w - 1)/3
Solve -3*q**2/4 - 141*q - 6627 = 0 for q.
-94
Find n, given that -16*n**3/15 - 22*n**2/5 - 8*n/15 = 0.
-4, -1/8, 0
Factor -5*h**2/4 + 155*h/2 - 305/4.
-5*(h - 61)*(h - 1)/4
Factor 10368*d**5/5 - 82656*d**4/5 + 163586*d**3/5 + 4592*d**2/5 + 32*d/5.
2*d*(d - 4)**2*(72*d + 1)**2/5
Suppose -2*c**2 - 2*c + 4 = 0. Calculate c.
-2, 1
Factor -882*c**3 - 221214*c**2 + 42160*c - 2008.
-2*(c + 251)*(21*c - 2)**2
Factor 4*i**5 - 16*i**4 - 24*i**3 + 16*i**2 + 20*i.
4*i*(i - 5)*(i - 1)*(i + 1)**2
Suppose 5*y**5 - 10*y**3 + 5*y = 0. What is y?
-1, 0, 1
Find d such that 3*d**5 + 69*d**4 + 186*d**3 + 120*d**2 = 0.
-20, -2, -1, 0
Factor -169*c**4 + 559*c**3 + 516*c**2 - 196*c + 16.
-(c - 4)*(c + 1)*(13*c - 2)**2
Factor 2*s**4/19 + 110*s**3/19 - 18*s**2 + 346*s/19 - 116/19.
2*(s - 1)**3*(s + 58)/19
Factor -3*i**2/4 + 27*i/4 - 21/2.
-3*(i - 7)*(i - 2)/4
Suppose -9*g**5/4 - 307*g**4/2 - 34*g**3 = 0. Calculate g.
-68, -2/9, 0
Find q, given that 153*q**4/4 - 111*q**3/2 + 23*q**2 - 2*q = 0.
0, 2/17, 2/3
Let -d**2/8 - 67*d/8 - 65/4 = 0. Calculate d.
-65, -2
Factor y**3 + 34*y**2 - 232*y + 320.
(y - 4)*(y - 2)*(y + 40)
Factor -4*v**3 + 96*v**2 + 432*v + 448.
-4*(v - 28)*(v + 2)**2
Let -2*r**2/7 + 554*r/7 - 552/7 = 0. What is r?
1, 276
Factor 2*f**3/7 - 24*f/7 - 32/7.
2*(f - 4)*(f + 2)**2/7
Let 5*r**4 - 105*r**3 - 630*r**2 - 520*r = 0. What is r?
-4, -1, 0, 26
What is f in 46*f**5/9 + 142*f**4/9 + 4*f**3/3 - 184*f**2/9 - 16*f/9 = 0?
-2, -2/23, 0, 1
Factor k**3/5 + k**2/5 - 6*k.
k*(k - 5)*(k + 6)/5
Let -2*c**5/13 - 6934*c**4/13 - 6013510*c**3/13 - 6006578*c**2/13 = 0. What is c?
-1733, -1, 0
Factor 4*o**4 - 24*o**3 - 80*o**2 + 96*o + 256.
4*(o - 8)*(o - 2)*(o + 2)**2
Factor -4*c**3 + 1732*c**2 - 188352*c + 186624.
-4*(c - 216)**2*(c - 1)
Factor 20*h**3 - 15612*h**2 - 6248*h.
4*h*(h - 781)*(5*h + 2)
Suppose -2*c**4/3 - 76*c**3/3 - 722*c**2/3 = 0. What is c?
-19, 0
Suppose 3*u**4/4 - 5*u**3/4 - 10*u**2 + 25*u - 12 = 0. What is u?
-4, 2/3, 2, 3
Factor -5*p**3 + 605*p**2 - 1195*p + 595.
-5*(p - 119)*(p - 1)**2
Solve 5*u**2 - 35*u - 220 = 0.
-4, 11
Find c such that 4*c**5 - 492*c**4 - 12*c**3 + 1468*c**2 + 984*c = 0.
-1, 0, 2, 123
Factor -b**3 - 29*b**2 - 215*b - 187.
-(b + 1)*(b + 11)*(b + 17)
Factor -3*a**2 + 600*a - 30000.
-3*(a - 100)**2
Solve 3*i**5/4 + 3*i**4/4 - 3*i**3/4 - 3*i**2/4 = 0 for i.
-1, 0, 1
Suppose -i**2/2 - 4475*i - 20025625/2 = 0. What is i?
-4475
Solve -2*d**4/9 - 2*d**3 - 58*d**2/9 - 26*d/3 - 4 = 0.
-3, -2, -1
Solve -2*t**4 - 508*t**3 - 42840*t**2 - 1184900*t + 1228250 = 0 for t.
-85, 1
Factor 2*x**2/5 + 1212*x/5 + 183618/5.
2*(x + 303)**2/5
Factor -16*s**2 - 268*s + 68.
-4*(s + 17)*(4*s - 1)
What is c in 5*c**2/6 - 5335*c/3 + 5692445/6 = 0?
1067
Factor a**4/8 + 9*a**3/8 + 29*a**2/8 + 39*a/8 + 9/4.
(a + 1)*(a + 2)*(a + 3)**2/8
Find y such that -4*y**3 - 31320*y**2 - 81745200*y - 71118324000 = 0.
-2610
Find c such that -c**2/2 + 145*c - 288 = 0.
2, 288
Factor 2*v**3 + 8*v**2 - 8*v - 32.
2*(v - 2)*(v + 2)*(v + 4)
Factor -5*z**2 - 1320*z - 3915.
-5*(z + 3)*(z + 261)
Solve 4*k**4 - 60*k**3 + 228*k**2 - 68*k - 360 = 0.
-1, 2, 5, 9
Determine f, given that 5*f**2 + 85*f - 1350 = 0.
-27, 10
Solve 50*f**5/11 + 490*f**4/11 + 668*f**3/11 - 488*f**2/11 - 592*f/11 - 128/11 = 0.
-8, -2, -2/5, 1
Factor -2*g**4/7 - 8968*g**3/7 - 15079692*g**2/7 - 11269556488*g/7 - 3158293205762/7.
-2*(g + 1121)**4/7
Factor 5*u**2 + 75*u + 180.
5*(u + 3)*(u + 12)
What is a in -a**4 - 1250*a**3 - 388117*a**2 + 1567500*a - 1572516 = 0?
-627, 2
Factor 10*i**4 - 11*i**3 - 49*i**2 - 25*i + 3.
(i - 3)*(i + 1)**2*(10*i - 1)
What is c in 3*c**2/2 + 21*c/2 + 9 = 0?
-6, -1
Solve -2*f**2 - 920*f - 105800 = 0.
-230
Determine y so that -5*y**3 - 1275*y**2 - 12375*y - 30625 = 0.
-245, -5
Solve 3*i**4/4 - 24*i**3 - 153*i**2/2 - 78*i - 105/4 = 0.
-1, 35
Factor -10*o**3/3 - 4*o**2/3 + 40*o/3 + 16/3.
-2*(o - 2)*(o + 2)*(5*o + 2)/3
Determine w so that 13*w**2 + 11*w - 2 = 0.
-1, 2/13
Factor g**4 - 78*g**3 + 1597*g**2 - 2964*g + 1444.
(g - 38)**2*(g - 1)**2
Factor f**3 + 14*f**2 + 13*f.
f*(f + 1)*(f + 13)
Let -2*c**3/3 + 1784*c**2 - 1591328*c + 1419464576/3 = 0. What is c?
892
What is q in -3*q**2 - 48*q - 192 = 0?
-8
Factor 4*x**4/9 - 4*x**3 + 32*x**2/9 + 80*x/3.
4*x*(x - 6)*(x - 5)*(x + 2)/9
Solve -2*l**2 + 6*l + 56 = 0.
-4, 7
Suppose 26*g**2 - 524*g + 80 = 0. What is g?
2/13, 20
Determine z, given that 2*z**5/23 + 6*z**4/23 - 2*z**3/23 - 6*z**2/23 = 0.
-3, -1, 0, 1
Factor v**4/3 - 20*v**3/3 - 23*v**2 - 4*v/3 + 92/3.
(v - 23)*(v - 1)*(v + 2)**2/3
What is h in 2*h**2 + 1544*h/11 + 280/11 = 0?
-70, -2/11
Solve -6*n**4 - 117*n**3 + 66*n**2 