**3 + 3360*c**2 - 4560*c + 2304 = 0. What is c?
-48, 2
Factor 2*z**4 + 20*z**3 + 34*z**2 - 176*z - 480.
2*(z - 3)*(z + 4)**2*(z + 5)
Factor -2*u**2 - 8*u + 24.
-2*(u - 2)*(u + 6)
Factor 2*w**2/7 - 6*w - 44/7.
2*(w - 22)*(w + 1)/7
Determine s so that -3*s**5/4 + 3*s**4/8 + 3*s**3/4 - 3*s**2/8 = 0.
-1, 0, 1/2, 1
Solve -2*s**2/9 - 2*s - 28/9 = 0 for s.
-7, -2
Let -20*q**4 - 148*q**3 + 504*q**2 - 176*q - 160 = 0. What is q?
-10, -2/5, 1, 2
Factor -5*r**2 - r + 6.
-(r - 1)*(5*r + 6)
Factor -2*a**2/5 + 456*a/5 - 1792/5.
-2*(a - 224)*(a - 4)/5
Find h, given that -2*h**5/3 + 26*h**4/3 + 140*h**3 - 5096*h**2/3 - 5488*h/3 = 0.
-14, -1, 0, 14
Find c, given that -2*c**3/21 - 4*c**2/7 + 64/21 = 0.
-4, 2
Factor 2*l**3/9 - 166*l**2/9 + 3680*l/9 - 3200/3.
2*(l - 40)**2*(l - 3)/9
Solve 2*q**4/7 + 6*q**3/7 - 46*q**2/7 + 66*q/7 - 4 = 0 for q.
-7, 1, 2
Factor -2*s**2/3 - 4756*s/3 - 2827442/3.
-2*(s + 1189)**2/3
Determine j so that 1125*j**3 + 10425*j**2 + 2720*j + 180 = 0.
-9, -2/15
Factor -3*n**4 - 18*n**3 + 36*n**2 + 264*n + 288.
-3*(n - 4)*(n + 2)**2*(n + 6)
Factor -4*c**2/3 - 1588*c/3 + 1592/3.
-4*(c - 1)*(c + 398)/3
Factor 27*k**4 + 117*k**3 - 150*k**2 - 324*k - 120.
3*(k - 2)*(k + 5)*(3*k + 2)**2
Factor b**4/3 - 13*b**3 + 11*b**2 + 187*b/3 + 38.
(b - 38)*(b - 3)*(b + 1)**2/3
Determine r so that -3*r**3 + 324*r**2 + 993*r + 666 = 0.
-2, -1, 111
Factor -4*t**2/7 - 344*t/7 - 7396/7.
-4*(t + 43)**2/7
Let -4*u**3 + 620*u**2 - 22400*u - 128000 = 0. Calculate u.
-5, 80
What is s in s**5/3 + 31*s**4/3 + 29*s**3 + 85*s**2/3 + 28*s/3 = 0?
-28, -1, 0
Let -9*b**4 + 429*b**3 - 282*b**2 = 0. Calculate b.
0, 2/3, 47
Solve -3*w**5 + 412*w**4 + 277*w**3 - 138*w**2 = 0 for w.
-1, 0, 1/3, 138
Factor f**4/2 + 8*f**3 + 53*f**2/2 + 31*f + 12.
(f + 1)**2*(f + 2)*(f + 12)/2
Factor k**4/4 - 58*k**3 - 949*k**2/4 + 295*k.
k*(k - 236)*(k - 1)*(k + 5)/4
Solve 3*u**5 + 3*u**4 - 33*u**3 - 87*u**2 - 78*u - 24 = 0 for u.
-2, -1, 4
Factor -4*q**3 - 292*q**2 + 1860*q - 2844.
-4*(q - 3)**2*(q + 79)
Determine h so that 3*h**4/5 - 3*h**3 - 72*h**2/5 - 12*h/5 + 96/5 = 0.
-2, 1, 8
Solve h**3 + 7*h**2 - 192*h + 684 = 0 for h.
-19, 6
Factor 5*s**4 + 10*s**3 - 65*s**2 + 50*s.
5*s*(s - 2)*(s - 1)*(s + 5)
Factor 2*i**3/3 - 58*i**2/3 + 448*i/3 - 392/3.
2*(i - 14)**2*(i - 1)/3
Find m such that -8*m**5 - 92*m**4 + 168*m**3 + 128*m**2 - 352*m + 156 = 0.
-13, -3/2, 1
Factor 5*h**2 - 125*h.
5*h*(h - 25)
Suppose 5*v**4 - 2630*v**3 - 2635*v**2 = 0. Calculate v.
-1, 0, 527
Suppose 6*a**5 - 70*a**4/3 + 64*a**3/3 + 8*a**2/3 = 0. Calculate a.
-1/9, 0, 2
Let 2*h**2 + 88*h + 86 = 0. Calculate h.
-43, -1
Find w, given that -4*w**5 - 8*w**4 + 8*w**3 + 16*w**2 - 4*w - 8 = 0.
-2, -1, 1
Factor -4*z**5/7 + 708*z**4/7 - 30972*z**3/7 - 31684*z**2/7.
-4*z**2*(z - 89)**2*(z + 1)/7
Factor 3*t**3 - 33*t**2 + 57*t - 27.
3*(t - 9)*(t - 1)**2
Determine f, given that 16*f**5/5 - 28*f**4 + 332*f**3/5 + 44*f**2/5 - 588*f/5 - 144/5 = 0.
-1, -1/4, 3, 4
Factor -28*d**5 + 160*d**4 - 204*d**3 - 72*d**2.
-4*d**2*(d - 3)**2*(7*d + 2)
Factor 98*s**4/9 + 728*s**3/9 + 92*s**2/9 - 520*s + 450.
2*(s + 5)**2*(7*s - 9)**2/9
Factor 4*d**4/3 - 370*d**3/3 + 183*d**2 - 547*d/6 + 91/6.
(d - 91)*(2*d - 1)**3/6
What is f in f**2/10 - 382*f/5 + 72962/5 = 0?
382
Factor m**4/5 + 13*m**3/5 + 7*m**2 - 49*m/5.
m*(m - 1)*(m + 7)**2/5
Determine m, given that -2*m**5/9 - 292*m**4/9 + 296*m**3/9 + 292*m**2/9 - 98*m/3 = 0.
-147, -1, 0, 1
Factor 2*t**3/5 - 6*t**2.
2*t**2*(t - 15)/5
Factor -352947*w**4/5 - 727503*w**3/5 - 43659*w**2/5 - 177*w - 6/5.
-3*(w + 2)*(49*w + 1)**3/5
Factor -2*c**3 + 4*c**2 + 16*c.
-2*c*(c - 4)*(c + 2)
Factor -2*o**2/3 + 32*o/3 - 10.
-2*(o - 15)*(o - 1)/3
Suppose w**2/6 + 163*w/2 + 244/3 = 0. What is w?
-488, -1
What is l in -2*l**2/13 + 92*l/13 - 930/13 = 0?
15, 31
Find t, given that 3*t**3 - 228*t**2 = 0.
0, 76
Find s, given that -2*s**2/7 + 152*s/7 = 0.
0, 76
What is h in -3*h**3 + 69*h**2 - 357*h - 429 = 0?
-1, 11, 13
Factor -3*r**5 + 720*r**4 - 48576*r**3 + 645120*r**2 - 2408448*r.
-3*r*(r - 112)**2*(r - 8)**2
Let -m**3 + 109*m**2 + 221*m + 111 = 0. What is m?
-1, 111
Factor b**5/4 - 5*b**4/4 + 7*b**3/4 - 3*b**2/4.
b**2*(b - 3)*(b - 1)**2/4
Determine b, given that -720*b**5 - 3388*b**4 - 4708*b**3 - 1224*b**2 + 784*b - 32 = 0.
-2, -1, 2/45, 1/4
Factor -4*a**2/5 - 8*a.
-4*a*(a + 10)/5
Factor -5*a**2 - 90*a - 325.
-5*(a + 5)*(a + 13)
Suppose -g**4/3 - 13*g**3 + 41*g**2/3 + 13*g - 40/3 = 0. What is g?
-40, -1, 1
Factor q**2/6 + 1907*q/6.
q*(q + 1907)/6
Find s such that s**4/6 + 69*s**3/2 + 397*s**2/2 - 3007*s/6 + 268 = 0.
-201, -8, 1
Let 16*b**2 + 420*b = 0. What is b?
-105/4, 0
Factor -2*f**2 - 14416*f - 25977632.
-2*(f + 3604)**2
Suppose -2*x**4 + 78*x**3 - 822*x**2 + 1138*x + 2040 = 0. Calculate x.
-1, 3, 17, 20
Factor 6*v**3 + 327*v**2/2 + 81*v/2.
3*v*(v + 27)*(4*v + 1)/2
Suppose -2*k**5/13 - 14*k**4/13 - 28*k**3/13 - 16*k**2/13 = 0. What is k?
-4, -2, -1, 0
Suppose -20*v**2 - 2008*v - 800 = 0. Calculate v.
-100, -2/5
Let -2*k**3 - 18*k**2 - 40*k - 24 = 0. What is k?
-6, -2, -1
Factor -g**5/6 - 139*g**4/6 - 1633*g**3/2 - 1587*g**2/2.
-g**2*(g + 1)*(g + 69)**2/6
Factor -2*k**3 - 22*k**2 + 24*k.
-2*k*(k - 1)*(k + 12)
Factor 9*j**4/5 - 12*j**3/5 - 53*j**2/5 + 8*j/5 + 48/5.
(j - 3)*(j - 1)*(3*j + 4)**2/5
Factor 64*t**5 + 1524*t**4 + 13536*t**3 + 52704*t**2 + 72576*t - 15552.
4*(t + 6)**4*(16*t - 3)
Factor 4*x**4 + 76*x**3 + 448*x**2 + 768*x.
4*x*(x + 3)*(x + 8)**2
Factor t**2/5 + 1826*t/5 + 833569/5.
(t + 913)**2/5
Suppose 2*n**3 + 2*n**2 - 2*n - 2 = 0. Calculate n.
-1, 1
Factor 9*m**2 + 753*m - 252.
3*(m + 84)*(3*m - 1)
Suppose -2*s**2 - 80*s - 78 = 0. Calculate s.
-39, -1
Factor l**2/2 + 3*l/2.
l*(l + 3)/2
Suppose -4*q**5/3 + 40*q**4/3 = 0. What is q?
0, 10
Factor -4*m**3 + 48*m**2 - 80*m.
-4*m*(m - 10)*(m - 2)
Factor 2*p**2/17 + 184*p/17 + 534/17.
2*(p + 3)*(p + 89)/17
What is o in -o**4 + 101*o**3 + 103*o**2 - 101*o - 102 = 0?
-1, 1, 102
Factor -3*g**3 + 15*g**2.
-3*g**2*(g - 5)
Factor -3*s**2 - 17838*s - 26516187.
-3*(s + 2973)**2
Suppose -j**2/6 + 29*j/6 - 13 = 0. Calculate j.
3, 26
Factor -m**4/2 - 2*m**3 + 6*m**2.
-m**2*(m - 2)*(m + 6)/2
Factor o**5 + 36*o**4 + 193*o**3 + 402*o**2 + 364*o + 120.
(o + 1)**2*(o + 2)**2*(o + 30)
Factor r**2/5 - 5816*r/5 + 8456464/5.
(r - 2908)**2/5
Solve 16*f**2/5 - 54*f/5 + 18/5 = 0 for f.
3/8, 3
Factor -2*h**4 + 22*h**3 + 28*h**2 - 48*h.
-2*h*(h - 12)*(h - 1)*(h + 2)
Suppose -2*k**4/3 - 4*k**3 + 64*k/3 = 0. What is k?
-4, 0, 2
What is v in -v**4/4 + 30*v**3 - 900*v**2 = 0?
0, 60
What is h in -5*h**2 + 4890*h - 9760 = 0?
2, 976
Factor 4*j**2 - 632*j + 24964.
4*(j - 79)**2
Let -5*s**3 + 15*s**2 + 80*s + 60 = 0. Calculate s.
-2, -1, 6
Determine f, given that 12*f**4 + 4*f**3 - 36*f**2 + 12*f + 8 = 0.
-2, -1/3, 1
Let -3*x**3/7 - 3*x**2/7 + 6*x/7 = 0. What is x?
-2, 0, 1
Find o such that -2*o**4 - 10*o**3 + 22*o**2 + 66*o + 36 = 0.
-6, -1, 3
Factor -4*f**3 + 40*f**2 - 68*f - 112.
-4*(f - 7)*(f - 4)*(f + 1)
Let 2*x**4/7 - 26*x**2/7 + 24*x/7 = 0. What is x?
-4, 0, 1, 3
Solve -2*i**2 - 15960*i - 31840200 = 0.
-3990
Factor j**2 - 49*j + 48.
(j - 48)*(j - 1)
Factor 57289761*j**4/7 - 5268024*j**3/7 + 181656*j**2/7 - 2784*j/7 + 16/7.
(87*j - 2)**4/7
Factor 2*j**4/3 - 164*j**3/3 + 2234*j**2/3 + 15416*j + 53016.
2*(j - 47)**2*(j + 6)**2/3
Factor -2*o**2 - 92*o - 1058.
-2*(o + 23)**2
Solve -51*o**2/4 - 453*o/4 + 27/2 = 0 for o.
-9, 2/17
Find h such that 2*h**2/3 + 4240*h/3 + 2247200/3 = 0.
-1060
Factor 2*m**2 + 4*m.
2*m*(m + 2)
What is s in -s**3/4 - 19*s**2/4 - 99*s/4 - 81/4 = 0?
-9, -1
Solve -2*g**5 + 12*g**4 - 28*g**3 + 32*g**2 - 18*g + 4 = 0.
1, 2
Factor 2*h**2/7 + 20*h/7 - 918/7.
2*(h - 17)*(h + 27)/7
Let -4*q**3 - 1932*q**2 + 1944*q + 3872 = 0. What is q?
-484, -1, 2
Determine w so that -3*w**3 - 42*w**2 - 129*w - 90 = 0.
-10, -3, -1
Determine q so that 2*q**4/11 + 4*q**3/11 + 2*q**2/11 = 0.
-1, 0
Let -2*b**5/9 - 4150*b**4/9 - 2150734*b**3/9 + 2159038*b**2/9 + 716912*b/3 - 239432 = 0. Calculate b.
-1038, -1, 1
Let -3*d**5 - 169*d**4 - 542*d**3 - 642*d**2 - 319*d - 53 = 0. What is d?
-53, -1, -1/3
Factor -2*l**4/15 - 116*l**3/15 - 1682*l**2/15.
-2*l**2*(l + 29)**2/15
Factor 5*z**5 + 30*z**4 + 60*z**3 + 40*z**2.
5*z**2*(z + 2)**3
Factor -2*a**2/3 + 50*a/9 - 16/9.
-2*(a - 8)*(3*a - 1)/9
What is n in 2*n**