)
Factor -4*v**2 - 344*v - 1312.
-4*(v + 4)*(v + 82)
Determine z so that -z**5/5 - 11*z**4/5 - 31*z**3/5 - 17*z**2/5 + 32*z/5 + 28/5 = 0.
-7, -2, -1, 1
Find p such that -2*p**4/7 - 20*p**3/7 + 8*p**2/7 + 44*p - 42 = 0.
-7, 1, 3
Determine c, given that -20*c**2 - 208*c - 80 = 0.
-10, -2/5
Let a**2/5 + 306*a/5 + 23409/5 = 0. What is a?
-153
Determine u so that -3*u**5 + 33*u**4 + 324*u**3 + 912*u**2 + 1056*u + 432 = 0.
-2, -1, 18
What is v in 9*v**4/2 + 87*v**3 - 370*v**2 + 217*v - 69/2 = 0?
-23, 1/3, 3
Find o, given that 5*o**2 - 305*o - 3550 = 0.
-10, 71
Factor 4*q**3 - 44*q**2 + 156*q - 180.
4*(q - 5)*(q - 3)**2
Factor -2*p**4/7 + 16*p**2/7 - 32/7.
-2*(p - 2)**2*(p + 2)**2/7
Factor -2*m**2/3 + 98*m/3 - 92.
-2*(m - 46)*(m - 3)/3
Determine n so that n**2 - 66*n + 1089 = 0.
33
Factor 10*g**4 - 25*g**3 + 15*g**2 + 5*g - 5.
5*(g - 1)**3*(2*g + 1)
Suppose 14*d**4 + 52*d**3 - 30*d**2 - 52*d + 16 = 0. What is d?
-4, -1, 2/7, 1
Let 36*q**5/5 + 244*q**4/5 - 4664*q**3/5 - 14096*q**2/5 + 672*q = 0. Calculate q.
-14, -3, 0, 2/9, 10
Factor -8*z**3 - 166*z**2 - 920*z - 600.
-2*(z + 10)**2*(4*z + 3)
Solve -2*k**5/7 - 194*k**4/7 - 5486*k**3/7 - 37438*k**2/7 - 53680*k/7 + 96800/7 = 0.
-44, -5, 1
Factor h**3/4 - 143*h**2/4 - 885*h/4 - 1341/4.
(h - 149)*(h + 3)**2/4
Factor s**4/4 + 3*s**3 + 21*s**2/4 + 5*s/2.
s*(s + 1)**2*(s + 10)/4
Determine c, given that -c**3/2 + 41*c**2/2 + 85*c/2 + 43/2 = 0.
-1, 43
Factor -4*t**4/7 + 48*t**3/7 - 108*t**2/7 - 160*t/7.
-4*t*(t - 8)*(t - 5)*(t + 1)/7
Determine o so that -3*o**2 + 252*o - 2769 = 0.
13, 71
Find s such that 2*s**5/7 + 50*s**4/7 + 164*s**3/7 - 1836*s**2/7 + 2970*s/7 - 1350/7 = 0.
-15, 1, 3
Find m, given that 5*m**2 + 50*m = 0.
-10, 0
Factor -c**5 - 15*c**4 - 63*c**3 - 81*c**2.
-c**2*(c + 3)**2*(c + 9)
Suppose 2*n**5 - 22*n**4 + 36*n**3 + 4*n**2 - 38*n + 18 = 0. Calculate n.
-1, 1, 9
Factor -25*r**3 + 440*r**2 - 1445*r - 650.
-5*(r - 13)*(r - 5)*(5*r + 2)
Factor 18*n**3/13 + 86*n**2/13 - 20*n/13.
2*n*(n + 5)*(9*n - 2)/13
Let -2*l**3/7 + 26*l**2/7 + 338*l/7 - 4394/7 = 0. What is l?
-13, 13
Suppose 3*r**3/7 - 44*r**2/7 + 100*r/7 - 48/7 = 0. Calculate r.
2/3, 2, 12
Factor -2*l**2 - 3296*l + 6600.
-2*(l - 2)*(l + 1650)
Find k, given that 2*k**4/7 - 48*k**3/7 + 204*k**2/7 - 272*k/7 + 114/7 = 0.
1, 3, 19
Find w, given that w**3 + 10*w**2 - 11*w = 0.
-11, 0, 1
Determine o, given that o**3/6 - 53*o**2/2 - 245*o/3 + 108 = 0.
-4, 1, 162
Factor -f**3 + 33*f**2 + 69*f + 35.
-(f - 35)*(f + 1)**2
Solve -3*y**3/2 + 33*y**2/2 - 15*y - 108 = 0 for y.
-2, 4, 9
Factor -9*m**3/4 + 6*m**2 - 13*m/4 + 1/2.
-(m - 2)*(3*m - 1)**2/4
Factor 4*h**4 + 1144*h**3 - 1152*h**2 - 1144*h + 1148.
4*(h - 1)**2*(h + 1)*(h + 287)
Find j such that 49*j**5/3 + 203*j**4/3 - 18*j**3 - 174*j**2 + 135*j - 27 = 0.
-3, 3/7, 1
Factor -l**2/4 + 203*l/4 - 150.
-(l - 200)*(l - 3)/4
Solve 6*h**2/7 + 4*h - 10/7 = 0 for h.
-5, 1/3
Factor -s**4/3 + 22*s**2 - 128*s/3 + 21.
-(s - 7)*(s - 1)**2*(s + 9)/3
Solve 2*n**3/5 - 294*n/5 + 1372/5 = 0 for n.
-14, 7
Factor -5*r**2/6 - 25*r/3.
-5*r*(r + 10)/6
Suppose -2*h**5/11 + 12*h**4/11 - 8*h**3/11 - 36*h**2/11 + 10*h/11 + 24/11 = 0. What is h?
-1, 1, 3, 4
Factor p**3 + 1766*p**2 + 10569*p + 15840.
(p + 3)**2*(p + 1760)
Determine i, given that 2*i**4/3 + 23*i**3/3 + 15*i**2 = 0.
-9, -5/2, 0
Factor 2*d**2/13 + 58*d/13 - 340/13.
2*(d - 5)*(d + 34)/13
Factor -5*b**4 + 35*b**3 - 65*b**2 - 15*b + 90.
-5*(b - 3)**2*(b - 2)*(b + 1)
Factor k**3/11 + 9*k**2/11 + 6*k/11 - 16/11.
(k - 1)*(k + 2)*(k + 8)/11
Factor -2*w**3/3 + 110*w**2/3 - 1886*w/3 + 3174.
-2*(w - 23)**2*(w - 9)/3
Find j, given that 4*j**4 - 604*j**3 - 3088*j**2 - 4976*j - 2496 = 0.
-2, -1, 156
Suppose 297025*c**3/4 - 298115*c**2/2 + 1091*c - 2 = 0. What is c?
2/545, 2
Find g such that -3*g**2 + 129*g - 126 = 0.
1, 42
Suppose 2*k**5 + 2*k**4 - 76*k**3 + 104*k**2 + 272*k - 448 = 0. Calculate k.
-7, -2, 2, 4
Suppose 2*h**4 - 80*h**3/3 + 290*h**2/3 - 280*h/3 + 64/3 = 0. What is h?
1/3, 1, 4, 8
Find u, given that 8*u**4/15 + 74*u**3/15 - 26*u**2/5 - 184*u/15 - 8/3 = 0.
-10, -1, -1/4, 2
Factor -y**4/4 - 17*y**3/2 + 75*y**2/4 + 27*y.
-y*(y - 3)*(y + 1)*(y + 36)/4
Suppose 2*l**3 + 150*l**2 + 576*l + 568 = 0. Calculate l.
-71, -2
Find t such that -2*t**4/9 - 22*t**3/9 + 4*t**2/3 + 280*t/9 - 400/9 = 0.
-10, -5, 2
What is o in 1122*o**2 - 2247*o + 6 = 0?
1/374, 2
Factor 3*x**4 - 15*x**3 - 171*x**2 - 297*x.
3*x*(x - 11)*(x + 3)**2
Factor -2*f**2/7 - 4006*f/7 + 4008/7.
-2*(f - 1)*(f + 2004)/7
Suppose 2*f**5/7 - 8*f**3/7 - 4*f**2/7 + 6*f/7 + 4/7 = 0. What is f?
-1, 1, 2
What is m in 2*m**2/3 - 892*m/3 + 890/3 = 0?
1, 445
Factor -4*v**3 - 74*v**2 - 164*v - 64.
-2*(v + 2)*(v + 16)*(2*v + 1)
Find n, given that 5*n**4 + 5*n**3 - 45*n**2 - 45*n = 0.
-3, -1, 0, 3
Find c such that -c**3/2 - 2545*c**2/2 - 807716*c + 2434614 = 0.
-1274, 3
Let 5*k**5/2 - 101*k**4/6 + 203*k**3/6 - 57*k**2/2 + 31*k/3 - 4/3 = 0. Calculate k.
1/3, 2/5, 1, 4
What is a in 3*a**5 + 3*a**4 - 195*a**3 - 675*a**2 = 0?
-5, 0, 9
Determine a, given that 4*a**2 + 80*a + 76 = 0.
-19, -1
Factor b**4 + 102*b**3 + 2796*b**2 + 9898*b + 7203.
(b + 1)*(b + 3)*(b + 49)**2
Let p**5 + 16*p**4 + 59*p**3 + 44*p**2 = 0. What is p?
-11, -4, -1, 0
Determine u so that -15*u**3 - 5390*u**2 - 7165*u - 1790 = 0.
-358, -1, -1/3
Determine l so that 5*l**3 - 95*l**2 - 130*l + 600 = 0.
-3, 2, 20
Factor -a**3/2 + 29*a**2/2 - 27*a.
-a*(a - 27)*(a - 2)/2
Factor -f**3/2 + 53*f**2 + 1151*f/2 + 522.
-(f - 116)*(f + 1)*(f + 9)/2
Factor c**2/3 + 10*c/3 + 25/3.
(c + 5)**2/3
Find z, given that 5*z**2 + 3130*z = 0.
-626, 0
Let -2*l**3/9 + 178*l**2/9 + 6160*l/9 + 5096 = 0. What is l?
-14, 117
Solve -2*b**4/5 + 4*b**3 - 48*b**2/5 - 4*b + 10 = 0 for b.
-1, 1, 5
Factor z**5/8 + z**4/4 - z**3 - 2*z**2 + 2*z + 4.
(z - 2)**2*(z + 2)**3/8
Let -4*t**2 + 44*t - 112 = 0. What is t?
4, 7
Factor -4*p**3/7 + 268*p**2/7 - 5084*p/7 + 19220/7.
-4*(p - 31)**2*(p - 5)/7
Determine h, given that 18*h**4 - 276*h**3 + 1226*h**2 - 1288*h + 392 = 0.
2/3, 7
What is r in -r**2/2 - 9*r/2 - 4 = 0?
-8, -1
Factor -r**4/2 + 6*r**2 + 8*r.
-r*(r - 4)*(r + 2)**2/2
Factor -2*q**3 - 10*q**2 + 24*q + 72.
-2*(q - 3)*(q + 2)*(q + 6)
Solve 2*m**5/13 + 10*m**4/13 - 6*m**3 - 34*m**2/13 + 196*m/13 + 144/13 = 0 for m.
-9, -1, 2, 4
Factor -c**2/5 - 1434*c/5 + 2872/5.
-(c - 2)*(c + 1436)/5
Solve 3*r**2/5 - 114*r/5 - 48 = 0 for r.
-2, 40
Solve -t**3 + 33*t**2 - 30*t - 64 = 0 for t.
-1, 2, 32
Determine d, given that -5*d**3 + 55*d**2 - 40*d - 100 = 0.
-1, 2, 10
Factor g**4 + 73*g**3 + 527*g**2 + 455*g.
g*(g + 1)*(g + 7)*(g + 65)
Find r, given that -3*r**3/7 + 1140*r**2/7 + 2292*r/7 = 0.
-2, 0, 382
Solve 5*t**3 + 1590*t**2 + 124800*t - 256000 = 0 for t.
-160, 2
Factor -5*i**2 - 1100*i - 3255.
-5*(i + 3)*(i + 217)
Determine g so that -5*g**4/4 - 25*g**3/4 - 45*g**2/4 - 35*g/4 - 5/2 = 0.
-2, -1
Find q such that -q**3/2 - 104*q**2 - 413*q/2 - 103 = 0.
-206, -1
Suppose 3*h**5/4 + 15*h**4/4 - 27*h**3/4 - 159*h**2/4 + 6*h + 36 = 0. What is h?
-4, -1, 1, 3
Suppose -o**4/2 + 6*o**3 - 18*o**2 + 16*o = 0. Calculate o.
0, 2, 8
Factor -c**3/2 - 7*c**2 + 15*c/2.
-c*(c - 1)*(c + 15)/2
What is p in 2*p**3/21 - 4244*p**2/21 - 17000*p/21 - 17008/21 = 0?
-2, 2126
Suppose 5*b**3/6 - 85*b**2/3 - 955*b/6 - 130 = 0. What is b?
-4, -1, 39
Solve w**2 + 879*w + 878 = 0.
-878, -1
Factor -3*v**2 - 534*v + 1080.
-3*(v - 2)*(v + 180)
Let -2*z**3 + 4*z**2 + 6*z = 0. What is z?
-1, 0, 3
Solve c**5/6 - c**4 - 8*c**3/3 - c**2/3 + 5*c/2 + 4/3 = 0 for c.
-1, 1, 8
Find x, given that 5*x**2 - 14770*x - 14775 = 0.
-1, 2955
Let -6*y**2/5 + 196*y/5 + 1216/5 = 0. Calculate y.
-16/3, 38
Suppose 2*j**3/17 - 48*j**2/17 + 90*j/17 - 44/17 = 0. Calculate j.
1, 22
Solve 2*o**3 + 34*o**2 + 126*o - 162 = 0 for o.
-9, 1
What is j in 2*j**4 - 398*j**3 + 20376*j**2 - 56056*j - 76832 = 0?
-1, 4, 98
Factor 3*s**5 + 3*s**4 - 9*s**3 - 3*s**2 + 6*s.
3*s*(s - 1)**2*(s + 1)*(s + 2)
Factor -4*o**2 - 60*o + 64.
-4*(o - 1)*(o + 16)
Find x such that 7*x**4 - 40*x**3 + 24*x**2 + 160*x - 208 = 0.
-2, 2, 26/7
Factor 4*q**3/5 - 56*q**2/5.
4*q**2*(q - 14)/5
Factor 2*x**3 - 252*x**2 + 10584*x - 148176.
2*(x - 42)**3
Factor 35*j**5 + 60*j**4 - 20*j**3 - 70*j**2 - 15*j + 10.
5*(j - 1)*(j + 1)**3*(7*j - 2)
Find u, given that 4*u**4 + 12*u**3 - 44*u**2 - 12*u + 40 = 0.
-5, -1, 1