**2 + 99*v + 50 = 0. What is v?
-1, 50
Factor 4*l**2 - 2652*l + 7920.
4*(l - 660)*(l - 3)
Factor 4*k**2 + 12*k - 40.
4*(k - 2)*(k + 5)
Factor 14*u**3/5 - 564*u**2/5 + 1152*u - 320.
2*(u - 20)**2*(7*u - 2)/5
Factor 5*v**4/3 - 5*v**3 - 25*v**2/3 + 5*v + 20/3.
5*(v - 4)*(v - 1)*(v + 1)**2/3
Let -5*d**4/4 + 101*d**3/2 - 1389*d**2/4 - 3335*d - 4232 = 0. Calculate d.
-4, -8/5, 23
Determine k, given that -8*k**4/9 - 130*k**3/9 - 200*k**2/3 - 590*k/9 - 112/9 = 0.
-8, -7, -1, -1/4
Factor a**4/3 + 11*a**3 + 21*a**2 + 31*a/3.
a*(a + 1)**2*(a + 31)/3
Factor 5*h**4 - 5*h**3 - 10*h**2.
5*h**2*(h - 2)*(h + 1)
Let 4*c**3 + 4608*c**2 + 1327104*c = 0. Calculate c.
-576, 0
Factor -2*r**5/3 + 130*r**4/3 + 266*r**3/3 + 134*r**2/3.
-2*r**2*(r - 67)*(r + 1)**2/3
Find h, given that -5*h**4 - 105*h**3 - 600*h**2 + 320*h + 7680 = 0.
-8, 3
Factor 2*z**2 - 106*z.
2*z*(z - 53)
Factor s**5 - 6*s**4 + 12*s**3 - 10*s**2 + 3*s.
s*(s - 3)*(s - 1)**3
Let y**2/2 - 31*y/2 - 16 = 0. What is y?
-1, 32
Solve 2*x**2/5 - 6*x/5 = 0.
0, 3
Factor a**3/7 - 17*a**2/7 + 2*a + 32/7.
(a - 16)*(a - 2)*(a + 1)/7
Factor 2*c**2 - 20052*c + 50260338.
2*(c - 5013)**2
Factor 4*m**2 + 68*m + 64.
4*(m + 1)*(m + 16)
Factor -d**3/11 + 68*d**2/11 + 13*d - 210/11.
-(d - 70)*(d - 1)*(d + 3)/11
What is c in -3*c**4 + 42*c**3 - 216*c**2 + 480*c - 384 = 0?
2, 4
Suppose -3*i**4 + 3*i**3 + 27*i**2 - 27*i = 0. What is i?
-3, 0, 1, 3
Let -5*x**2 + 9040*x - 4086080 = 0. Calculate x.
904
Solve -30*k**2 + 14*k + 148 = 0.
-2, 37/15
Factor -2*p**4/3 - 4*p**3 - 16*p**2/3.
-2*p**2*(p + 2)*(p + 4)/3
Find a such that a**4/5 + 29*a**3/5 + 247*a**2/5 + 507*a/5 = 0.
-13, -3, 0
Factor 9*l**3/2 + 69*l**2/2 - 105*l/2 + 27/2.
3*(l - 1)*(l + 9)*(3*l - 1)/2
Factor r**4/2 - r**3/2 - 3*r**2/8 + r/2 - 1/8.
(r - 1)*(r + 1)*(2*r - 1)**2/8
Solve -2*s**3/11 + 42*s**2/11 - 78*s/11 + 38/11 = 0.
1, 19
Factor 10*h**2 - 594*h + 236.
2*(h - 59)*(5*h - 2)
Suppose -38642*u**2 + 2780*u - 50 = 0. What is u?
5/139
Solve 3*u**4/2 + 45*u**3/2 + 243*u**2/2 + 555*u/2 + 225 = 0.
-5, -3, -2
Factor -a**3/2 - 19*a**2/2.
-a**2*(a + 19)/2
Suppose -174*x**4 - 626*x**3 - 420*x**2 + 264*x - 16 = 0. What is x?
-2, 2/29, 1/3
What is s in -s**2 + 22*s - 96 = 0?
6, 16
Find t such that 4*t**5/5 - 114*t**4/5 + 1032*t**3/5 - 3176*t**2/5 + 3648*t/5 - 1152/5 = 0.
1/2, 2, 12
Factor -4*k**5/7 + 36*k**4/7 - 128*k**3/7 + 32*k**2 - 192*k/7 + 64/7.
-4*(k - 2)**4*(k - 1)/7
Determine q so that -10*q**5 - 15*q**4 + 25*q**3 + 30*q**2 = 0.
-2, -1, 0, 3/2
Let -s**4 + 10*s**2 - 9 = 0. Calculate s.
-3, -1, 1, 3
Factor -2*y**3 + 26*y - 24.
-2*(y - 3)*(y - 1)*(y + 4)
Solve -4*u**5/3 + 44*u**4 + 48*u**3 - 272*u**2/3 = 0.
-2, 0, 1, 34
Factor -2888*x**2/3 - 760*x/3 - 50/3.
-2*(38*x + 5)**2/3
Suppose -2*s**4 + 16*s**3 - 40*s**2 + 32*s = 0. What is s?
0, 2, 4
Let -2*q**5 - 110*q**4 + 120*q**3 + 440*q**2 - 448*q = 0. What is q?
-56, -2, 0, 1, 2
Determine t, given that 4*t**2 - 108*t + 288 = 0.
3, 24
Factor -5*m**4 + 230*m**3 + 1275*m**2.
-5*m**2*(m - 51)*(m + 5)
Let -4*c**2 + 112*c - 108 = 0. What is c?
1, 27
Find m such that 3*m**3/7 - 12*m**2/7 - 36*m/7 = 0.
-2, 0, 6
Factor b**3/8 - b**2/2 + 3*b/8.
b*(b - 3)*(b - 1)/8
Factor -2*h**3 + 2*h**2 + 8*h - 8.
-2*(h - 2)*(h - 1)*(h + 2)
Find k such that 2*k**3 - 4990*k**2 + 9974*k - 4986 = 0.
1, 2493
Factor 3*s**5 - 18*s**4 - 21*s**3.
3*s**3*(s - 7)*(s + 1)
Solve 2*f**5/5 + 6*f**4/5 - 12*f**3/5 - 16*f**2/5 = 0.
-4, -1, 0, 2
Determine f, given that 5*f**2 + 440*f + 9680 = 0.
-44
Determine m so that -2*m**3/13 - 242*m**2/13 - 1168*m/13 - 928/13 = 0.
-116, -4, -1
Determine o, given that 3*o**4/4 - 771*o**3/2 + 198147*o**2/4 = 0.
0, 257
Factor -4*s**3 - 12*s**2.
-4*s**2*(s + 3)
Factor u**3 - 19*u**2 - 41*u - 21.
(u - 21)*(u + 1)**2
Solve -27*v**4/2 + 3*v**3/2 = 0 for v.
0, 1/9
Factor d**4/7 + d**3/7 - d**2/7 - d/7.
d*(d - 1)*(d + 1)**2/7
Let -2*x**5/3 - 140*x**4/3 - 2450*x**3/3 = 0. What is x?
-35, 0
Factor 2*p**2/11 - 516*p/11.
2*p*(p - 258)/11
Let t**2/3 - 2*t/3 - 1 = 0. What is t?
-1, 3
Determine i, given that -2*i**2 + 216*i - 424 = 0.
2, 106
Solve 2*y**3/3 + 266*y**2/3 - 2*y/3 - 266/3 = 0 for y.
-133, -1, 1
Determine k so that 2*k**2/7 - 9718*k/7 = 0.
0, 4859
Solve -13*k**3/5 - 3*k**2 - 2*k/5 = 0 for k.
-1, -2/13, 0
Suppose -2*b**3 - 22*b**2 = 0. Calculate b.
-11, 0
Factor -5*d**2 + 7180*d.
-5*d*(d - 1436)
Factor 2*k**2/3 - 1360*k/3 + 904.
2*(k - 678)*(k - 2)/3
Let -3*k**4 + 45*k**3 + 72*k**2 - 348*k - 576 = 0. What is k?
-2, 3, 16
Solve z**3/2 - 135*z**2/2 + 2244*z + 2312 = 0 for z.
-1, 68
Suppose -4*u**5/7 + 16*u**4/7 + 4*u**3/7 - 64*u**2/7 + 48*u/7 = 0. Calculate u.
-2, 0, 1, 2, 3
Find p, given that 2*p**3/11 + 6*p**2 - 68*p/11 = 0.
-34, 0, 1
Factor b**2 + 75*b + 650.
(b + 10)*(b + 65)
Factor 4*w**2 - 924*w - 2808.
4*(w - 234)*(w + 3)
Determine a, given that a**3 + 69*a**2/2 + 33*a/2 - 17 = 0.
-34, -1, 1/2
Solve 2*s**4/5 - 22*s**3/5 + 84*s**2/5 - 136*s/5 + 16 = 0 for s.
2, 5
Find d such that 3*d**2 - 474*d + 471 = 0.
1, 157
Suppose 7921*x**2 - 356*x + 4 = 0. What is x?
2/89
Factor 21*b**4 - 3*b**3 - 63*b**2 - 33*b + 6.
3*(b - 2)*(b + 1)**2*(7*b - 1)
Factor -3*p**3 + 1077*p**2 + 3*p - 1077.
-3*(p - 359)*(p - 1)*(p + 1)
Factor -2*q**2/11 + 2*q/11 + 24/11.
-2*(q - 4)*(q + 3)/11
Factor 2*s**4/9 - 236*s**3/9.
2*s**3*(s - 118)/9
Factor -2*k**5/9 + 4*k**4/9 - 4*k**2/9 + 2*k/9.
-2*k*(k - 1)**3*(k + 1)/9
Factor 5*t**3 + 660*t**2 + 22425*t + 42250.
5*(t + 2)*(t + 65)**2
Factor -3*y**4/2 - 3*y**3 - 3*y**2/2.
-3*y**2*(y + 1)**2/2
Suppose f**3/3 + 8*f**2/3 - 113*f/3 + 80 = 0. What is f?
-16, 3, 5
Factor -2*k**3 + 2080*k**2 - 540800*k.
-2*k*(k - 520)**2
Suppose 27*u**2 - 87*u + 18 = 0. What is u?
2/9, 3
Factor -c**3/3 - 164*c**2/3 + 335*c/3 + 166.
-(c - 3)*(c + 1)*(c + 166)/3
Determine z so that -151732224*z**3 + 1354752*z**2 - 4032*z + 4 = 0.
1/336
Solve 2*d**2 - 16*d = 0.
0, 8
Let -2*y**2 + 288*y - 286 = 0. Calculate y.
1, 143
Factor -4*x**2 + 400*x.
-4*x*(x - 100)
Factor -8*i**2/9 + 14*i/9.
-2*i*(4*i - 7)/9
Let -5*u**2 - 825*u - 820 = 0. Calculate u.
-164, -1
Factor 5*n**2 - 25*n - 120.
5*(n - 8)*(n + 3)
Determine c so that -c**3/6 + 44*c**2/3 - 615*c/2 - 675 = 0.
-2, 45
Suppose 4*n**2/3 + 13724*n/3 + 13720/3 = 0. Calculate n.
-3430, -1
Factor 3*a**2 - 225*a - 702.
3*(a - 78)*(a + 3)
Determine b, given that 2*b**4/13 + 12*b**3/13 - 120*b**2/13 + 272*b/13 - 192/13 = 0.
-12, 2
What is q in -2*q**5/7 - 36*q**4/7 - 68*q**3/7 + 48*q**2 + 10*q - 300/7 = 0?
-15, -5, -1, 1, 2
Factor 2*d**4/9 - 10*d**3/3 - 4*d**2 + 64*d/9.
2*d*(d - 16)*(d - 1)*(d + 2)/9
Determine f, given that -2*f**5/15 + 4*f**4/15 - 4*f**2/15 + 2*f/15 = 0.
-1, 0, 1
Solve 4*k**5 + 80*k**4 + 148*k**3 + 72*k**2 = 0 for k.
-18, -1, 0
Factor q**3/3 - 2*q**2/3 - 40*q/3 - 64/3.
(q - 8)*(q + 2)*(q + 4)/3
Suppose -2*d**5/3 + 44*d**4/3 + 58*d**3/3 - 268*d**2/3 - 200*d/3 + 368/3 = 0. What is d?
-2, 1, 2, 23
Factor -3*u**2/7 - 3*u.
-3*u*(u + 7)/7
Let -2*t**5/23 + 32*t**4/23 - 6*t**3 + 52*t**2/23 + 224*t/23 = 0. Calculate t.
-1, 0, 2, 7, 8
Determine v, given that 3*v**5/5 - 93*v**4/5 - 297*v**3/5 - 303*v**2/5 - 102*v/5 = 0.
-1, 0, 34
Factor -2*d**2/7 - 48*d - 2016.
-2*(d + 84)**2/7
Solve -2*o**2/11 - 10*o/11 = 0.
-5, 0
What is n in 4*n**3/3 - 22*n**2/3 + 4*n/3 + 10 = 0?
-1, 3/2, 5
Determine c, given that -2*c**4/9 + 122*c**3/9 + 2*c**2/3 - 362*c/9 - 244/9 = 0.
-1, 2, 61
Factor -1089*x**5/2 - 66*x**4 - 2*x**3.
-x**3*(33*x + 2)**2/2
Factor -3*l**2 + 8700*l - 6307500.
-3*(l - 1450)**2
Solve -n**5 + 6*n**4 - 2*n**3 - 16*n**2 + 3*n + 10 = 0.
-1, 1, 2, 5
Factor -2*h**2/9 + 158*h/9 + 160/9.
-2*(h - 80)*(h + 1)/9
Find b, given that 2*b**3/5 + 6*b**2/5 - 12*b/5 - 16/5 = 0.
-4, -1, 2
Determine w, given that 2*w**5/3 - 64*w**4/3 + 102*w**3 + 188*w**2/3 - 808*w/3 - 208 = 0.
-1, 2, 6, 26
Suppose -4*a**4 + 12*a**3 + 16*a**2 = 0. Calculate a.
-1, 0, 4
Factor 2*a**2/9 + 22*a/3 - 140/9.
2*(a - 2)*(a + 35)/9
Factor -b**2/8 - 427*b/4 + 214.
-(b - 2)*(b + 856)/8
Find p such that -6*p**3/7 - 150*p**2/7 - 108*p = 0.
-18, -7, 0
Factor y**3/2 - 5*y**2/2 + 3*y.
y*(y - 3)*(y - 2)/2
Solve q**3/4 + 171*q**2/4 + 339*q/4 + 169/4 = 0.
-169, -1
Let -30*x**3 - 134*x**2 - 172*x/3 - 16/3 = 0. Calculate x.
-4, -1/3, -2/15
Determine d so that -125*d**5/2 + 150*d**4 + 65*d**3/2 - 190*d**2 + 30*d + 40 = 0.
-1, -2/5, 4/5, 1, 2
What is x in -