given that 8*c**5/5 + 34*c**4/5 + 16*c**3/5 - 46*c**2/5 - 12*c/5 = 0.
-3, -2, -1/4, 0, 1
Factor -2*b**2/7 - 6*b - 40/7.
-2*(b + 1)*(b + 20)/7
Factor -h**2 - 122*h - 585.
-(h + 5)*(h + 117)
What is q in 2*q**4 + 50*q**3 - 514*q**2 + 462*q = 0?
-33, 0, 1, 7
What is v in -3*v**4/2 + 117*v**3 - 6183*v**2/2 + 31590*v - 109350 = 0?
9, 30
Factor 4*h**2 - 588*h + 584.
4*(h - 146)*(h - 1)
Factor 14*w**2/15 - 32*w/15 + 8/15.
2*(w - 2)*(7*w - 2)/15
Determine c so that 2*c**3/11 + 438*c**2/11 + 31974*c/11 + 778034/11 = 0.
-73
Let -2*k**5/3 - 2*k**4/3 + 34*k**3/3 - 10*k**2 = 0. Calculate k.
-5, 0, 1, 3
Factor -2*t**3/19 - 6*t**2/19 + 32*t/19 - 24/19.
-2*(t - 2)*(t - 1)*(t + 6)/19
Suppose r**3/5 - 23*r**2/5 - 24*r/5 = 0. Calculate r.
-1, 0, 24
Let 15*k**5 - 10*k**4 - 20*k**3 + 10*k**2 + 5*k = 0. What is k?
-1, -1/3, 0, 1
Factor -2*h**3 - 36*h**2 - 162*h.
-2*h*(h + 9)**2
Determine m so that -3*m**2 + 48*m + 1008 = 0.
-12, 28
Find s such that s**3/4 - s**2 + 5*s/4 - 1/2 = 0.
1, 2
Suppose 2*g**3/15 + 18*g**2/5 + 94*g/15 - 10 = 0. What is g?
-25, -3, 1
Solve -169*q**3/8 - 585*q**2/8 - 84*q - 32 = 0 for q.
-16/13, -1
Factor 10*f**5 + 195*f**4 + 1145*f**3 + 1015*f**2 - 6615*f - 3430.
5*(f - 2)*(f + 7)**3*(2*f + 1)
Factor 98*s**3/17 - 336*s**2/17 - 216*s/17 - 32/17.
2*(s - 4)*(7*s + 2)**2/17
Factor 2*y**4/15 + 116*y**3/5 + 5046*y**2/5.
2*y**2*(y + 87)**2/15
Factor 2*v**3/3 + 4*v**2 + 16*v/3.
2*v*(v + 2)*(v + 4)/3
Determine k, given that 3*k**5 - 39*k**4 + 99*k**3 - 93*k**2 + 30*k = 0.
0, 1, 10
Let l**5 + 21*l**4 - 6*l**3 - 118*l**2 + 165*l - 63 = 0. What is l?
-21, -3, 1
Suppose -2*q**3/7 + 80*q**2/7 = 0. What is q?
0, 40
Find j, given that 3*j**4/4 - 6*j**3 + 57*j**2/4 - 9*j = 0.
0, 1, 3, 4
Factor 756*o**2 + 3032*o + 32.
4*(o + 4)*(189*o + 2)
Suppose -4*k**5/5 - 44*k**4/5 - 188*k**3/5 - 388*k**2/5 - 384*k/5 - 144/5 = 0. What is k?
-3, -2, -1
Factor -2*g**2/19 - 64*g/19 - 62/19.
-2*(g + 1)*(g + 31)/19
Factor -25*k**4 - 26360*k**3 - 6980056*k**2 - 16638432*k - 9960336.
-(k + 526)**2*(5*k + 6)**2
Let -30*u**5 - 235*u**4 - 170*u**3 + 35*u**2 = 0. Calculate u.
-7, -1, 0, 1/6
Let 4*j**4/3 + 64*j**3 + 336*j**2 = 0. What is j?
-42, -6, 0
Suppose -s**4/4 + 19*s**3/4 + 687*s**2/4 - 739*s/4 - 703/2 = 0. What is s?
-19, -1, 2, 37
Factor q**2/5 - 4*q/5 - 221/5.
(q - 17)*(q + 13)/5
What is n in -4*n**2 + 160*n - 576 = 0?
4, 36
Determine v so that -5*v**3 - 30*v**2 = 0.
-6, 0
Factor a**3/3 + 473*a**2/3 + 56168*a/3 + 55696/3.
(a + 1)*(a + 236)**2/3
What is w in -2*w**3/13 + 2*w**2 + 128*w/13 + 136/13 = 0?
-2, 17
Factor 2*x**2/17 + 388*x/17 + 18818/17.
2*(x + 97)**2/17
Solve -2*y**3/9 - 16*y**2/9 - 26*y/9 - 4/3 = 0.
-6, -1
Solve -22*j**4 + 40*j**3 + 30*j**2 - 40*j - 8 = 0 for j.
-1, -2/11, 1, 2
Factor -2*j**5 + 8*j**4 - 32*j**2 + 32*j.
-2*j*(j - 2)**3*(j + 2)
Factor 65*o**3 + 135*o**2 + 75*o + 5.
5*(o + 1)**2*(13*o + 1)
Factor 5*m**3 - 90*m**2 - 195*m - 100.
5*(m - 20)*(m + 1)**2
Solve -4*z**5 + 32*z**4 - 64*z**3 + 8*z**2 + 68*z - 40 = 0.
-1, 1, 2, 5
Factor 100*k**3 + 4920*k**2 + 49476*k - 283024.
4*(k - 4)*(5*k + 133)**2
Determine s so that -3*s**5 + 381*s**4 - 12657*s**3 + 35715*s**2 - 34968*s + 11532 = 0.
1, 62
Let -4*c**3 + 28*c**2 + 2244*c - 2268 = 0. What is c?
-21, 1, 27
Suppose 36*o**4 - 28*o**3 - 1340*o**2 - 1556*o - 280 = 0. Calculate o.
-5, -1, -2/9, 7
Let -21*h**2/5 + 24*h + 36/5 = 0. Calculate h.
-2/7, 6
Factor 2*w**4 + 82*w**3 + 674*w**2 + 126*w - 8820.
2*(w - 3)*(w + 7)**2*(w + 30)
Determine u, given that -3*u**3/5 + 24*u**2/5 - 12*u + 48/5 = 0.
2, 4
Let 4802*z**5/13 + 14798*z**4/13 + 15590*z**3/13 + 6002*z**2/13 + 32*z + 8/13 = 0. What is z?
-1, -2/49
What is f in -2*f**2/11 - 192*f/11 - 376/11 = 0?
-94, -2
Find o, given that -o**3/3 - 17*o**2/3 - 22*o = 0.
-11, -6, 0
Determine z, given that -5*z**5/3 - 127*z**4/3 + 80*z**3/3 + 52*z**2/3 = 0.
-26, -2/5, 0, 1
Determine l, given that -l**3 + 90*l**2 - 2553*l + 21904 = 0.
16, 37
Factor 5*l**4 - 60*l**3 + 210*l**2 - 260*l + 105.
5*(l - 7)*(l - 3)*(l - 1)**2
Factor 3*s**2 + 8406*s + 5888403.
3*(s + 1401)**2
Factor 4*g**4/5 - 12*g**3/5 - 64*g**2/5 - 48*g/5.
4*g*(g - 6)*(g + 1)*(g + 2)/5
Factor -u**3/2 + 21*u**2/2 - 39*u/2 + 19/2.
-(u - 19)*(u - 1)**2/2
Find j, given that 825*j**3/2 - 2615*j**2/4 - 340*j - 5 = 0.
-2/5, -1/66, 2
Factor -o**3/2 + 1099*o**2/2 - 302499*o/2 + 301401/2.
-(o - 549)**2*(o - 1)/2
Solve x**3 + 211*x**2 + 11024*x - 11236 = 0.
-106, 1
Determine u, given that -u**2/8 + u/4 + 35/8 = 0.
-5, 7
Factor 5*a**2 - 240*a + 2275.
5*(a - 35)*(a - 13)
Factor a**3/6 - 185*a**2/3 + 737*a/6 - 184/3.
(a - 368)*(a - 1)**2/6
Solve -s**5 + 4*s**4 + 2*s**3 - 12*s**2 - 9*s = 0 for s.
-1, 0, 3
Solve -5*n**2 + 40*n - 35 = 0 for n.
1, 7
Factor -2*n**5/15 - 4*n**4/15 + 4*n**3/15 + 16*n**2/15 + 14*n/15 + 4/15.
-2*(n - 2)*(n + 1)**4/15
Factor -3*j**4 - 48*j**3 - 156*j**2 - 144*j.
-3*j*(j + 2)**2*(j + 12)
Determine s, given that s**2 - 288*s + 20736 = 0.
144
Determine q, given that 6*q**4 + 44*q**3 - 146*q**2 + 136*q - 40 = 0.
-10, 2/3, 1
Determine i, given that -33*i**5 - 67*i**4/2 + 529*i**3/2 + 401*i**2 - 2*i - 12 = 0.
-2, -2/11, 1/6, 3
Determine c, given that -2*c**5 + 22*c**4 + 4*c**3 - 44*c**2 - 2*c + 22 = 0.
-1, 1, 11
Find j, given that -5*j**3 + 330*j**2 - 640*j = 0.
0, 2, 64
Find m such that -m**2 + 302*m - 22801 = 0.
151
Solve -2*k**3 - 102*k**2 - 1734*k - 9826 = 0 for k.
-17
Determine o so that -8*o**4/5 - 168*o**3/5 + 78*o**2 + 512*o/5 + 138/5 = 0.
-23, -1/2, 3
Factor -3*m**4 - 3*m**3 + 15*m**2 - 9*m.
-3*m*(m - 1)**2*(m + 3)
What is t in 6*t**2 + 165*t + 234 = 0?
-26, -3/2
Determine h, given that -10*h**4/9 + 6*h**3 + 20*h**2/3 - 152*h/9 + 16/3 = 0.
-2, 2/5, 1, 6
Factor 4*f**5 - 108*f**4 + 104*f**3.
4*f**3*(f - 26)*(f - 1)
Suppose 2*j**2 - 292*j/3 + 10658/9 = 0. What is j?
73/3
Solve -3*u**3 + 756*u**2 - 47628*u = 0 for u.
0, 126
Find n, given that -3*n**2 + 141*n + 144 = 0.
-1, 48
Find d, given that 4*d**2/5 + 92*d/5 + 88/5 = 0.
-22, -1
Suppose -3*n**3 - 30*n**2 - 111*n/4 - 27/4 = 0. Calculate n.
-9, -1/2
Find f, given that f**2 - 66*f - 67 = 0.
-1, 67
Factor -o**3/3 - 8*o**2/3 + 20*o/3.
-o*(o - 2)*(o + 10)/3
Find c such that -4*c**3 + 60*c**2 - 128*c - 192 = 0.
-1, 4, 12
Factor -h**3/4 + 9*h**2/4 - 27*h/4 + 27/4.
-(h - 3)**3/4
Solve -5*v**2/6 - 43*v/3 + 88 = 0 for v.
-22, 24/5
Determine j, given that j**2/4 + 59*j/2 + 3481/4 = 0.
-59
Factor -3*o**3 + 1632*o**2 - 223575*o + 440646.
-3*(o - 271)**2*(o - 2)
What is b in -4*b**2/7 + 4208*b/7 - 1106704/7 = 0?
526
Factor 3*y**2/4 + 387*y/4.
3*y*(y + 129)/4
Factor 2*f**4/13 - 24*f**2/13 - 32*f/13.
2*f*(f - 4)*(f + 2)**2/13
Suppose -3*u**3 - 1650*u**2 - 225216*u + 457056 = 0. Calculate u.
-276, 2
Factor 3*x**3/2 + 21*x**2 - 45*x/2.
3*x*(x - 1)*(x + 15)/2
Solve y**4 + y**3 = 0.
-1, 0
Suppose -2*w**5/9 + 44*w**4/3 - 508*w**3/9 + 752*w**2/9 - 166*w/3 + 124/9 = 0. What is w?
1, 62
Determine j so that 3*j**5/4 + j**4/2 - 3*j**3/2 - j**2 + 3*j/4 + 1/2 = 0.
-1, -2/3, 1
Determine t, given that -t**3 + 396*t**2 - 52272*t + 2299968 = 0.
132
Factor 4*v**2 - 584*v + 4932.
4*(v - 137)*(v - 9)
Find p such that -2*p**3/7 - 240*p**2/7 + 4806*p/7 - 22356/7 = 0.
-138, 9
Solve -3*c**3 - 4122*c**2 - 1407627*c + 5696652 = 0 for c.
-689, 4
Factor 2*g**5/5 - 28*g**4/5 + 16*g**3 + 288*g**2/5 - 864*g/5 - 1728/5.
2*(g - 6)**3*(g + 2)**2/5
Factor -5*j**2 - 1525*j + 6180.
-5*(j - 4)*(j + 309)
Find v, given that -2*v**5 + 2*v**3 = 0.
-1, 0, 1
Factor -i**4/8 - 181*i**3/8 - 940*i**2 + 15463*i/2.
-i*(i - 7)*(i + 94)**2/8
Solve -b**3/2 + 2*b**2 - 3*b/2 = 0.
0, 1, 3
Solve -2*y**2 + 38*y - 156 = 0 for y.
6, 13
Determine z so that 5*z**2 - 1185*z = 0.
0, 237
Factor -4*u**4/7 + 8*u**3/7 + 44*u**2/7 - 48*u/7.
-4*u*(u - 4)*(u - 1)*(u + 3)/7
Factor 25*i**2 + 145*i - 30.
5*(i + 6)*(5*i - 1)
Factor 45*o**3 + 168*o**2 + 87*o - 36.
3*(o + 1)*(o + 3)*(15*o - 4)
Solve 2*q**2/7 + 94*q/7 + 492/7 = 0.
-41, -6
Let 45*k**5 + 168*k**4 + 165*k**3 - 18*k**2 - 84*k - 24 = 0. What is k?
-2, -1, -2/5, 2/3
Suppose -21*o**3 - 108*o**2 - 81*o + 162 = 0. Calculate o.
-3, 6/7
Determine s, given that 4*s**4 + 232*s**3 + 224*s**2 - 232*s - 228 = 0.
-57, -1, 1
Suppose -4*m**4 - 40*m**3 - 28*m**2 + 72*m = 0. What is m?
-9, -2, 0, 1
Factor 3*b**3/8 + 33*b**2/8 - 279*b/8 + 459/8.
3*(b - 3)**2*(b + 17)/8
Solve 2*d**2/11 + 548*d/11 + 3