o that -13*v**3/8 + 3573*v**2/8 + 275*v/4 = 0.
-2/13, 0, 275
Suppose 2*h**4/11 - 320*h**3/11 + 12800*h**2/11 = 0. Calculate h.
0, 80
Solve 12*g**5/11 - 70*g**4/11 + 96*g**3/11 - 30*g**2/11 - 8*g/11 = 0 for g.
-1/6, 0, 1, 4
Factor -3*h**3 - 102*h**2 + 1008*h.
-3*h*(h - 8)*(h + 42)
What is c in 2*c**5/9 + 14*c**4/9 + 10*c**3/9 - 62*c**2/9 - 20*c/3 = 0?
-5, -3, -1, 0, 2
Find z, given that -2*z**3/3 - 20*z**2/3 - 50*z/3 = 0.
-5, 0
Determine g so that 2*g**3/9 + 292*g**2 + 95922*g = 0.
-657, 0
Suppose -2*o**2 - 172*o + 1104 = 0. Calculate o.
-92, 6
Find r such that 5*r**2/4 + 5655*r + 6395805 = 0.
-2262
Factor 4*i**2 - 408*i + 10404.
4*(i - 51)**2
Factor -t**3/7 - 6*t**2 + 87*t/7 - 44/7.
-(t - 1)**2*(t + 44)/7
Factor 14*t**2/9 + 340*t/9 + 32/3.
2*(t + 24)*(7*t + 2)/9
Determine w, given that -2*w**4 + 4354*w**3 - 2371840*w**2 + 2367488*w = 0.
0, 1, 1088
Factor 4*f**3 + 132*f**2 - 900*f + 1404.
4*(f - 3)**2*(f + 39)
Solve 5*r**4 + 235*r**3 + 1785*r**2 + 2885*r + 1330 = 0 for r.
-38, -7, -1
Let 2*z**5/7 - 22*z**4/7 + 18*z**3/7 + 22*z**2/7 - 20*z/7 = 0. What is z?
-1, 0, 1, 10
Factor a**4 + 4*a**3 - 6*a**2 - 4*a + 5.
(a - 1)**2*(a + 1)*(a + 5)
Let 3*a**3 - 69*a**2 + 390*a = 0. What is a?
0, 10, 13
Factor 4*u**3 + 636*u**2 + 632*u.
4*u*(u + 1)*(u + 158)
Factor -j**2 - 536*j - 1599.
-(j + 3)*(j + 533)
Factor 2*l**2 - 52*l + 96.
2*(l - 24)*(l - 2)
Determine g so that 2*g**2/11 + 10*g - 348/11 = 0.
-58, 3
Factor -5*t**3 + 295*t**2 - 4200*t - 4500.
-5*(t - 30)**2*(t + 1)
Find m such that 4*m**3 - 28*m**2 + 64*m - 48 = 0.
2, 3
Factor -4*w**2 + 344*w - 2496.
-4*(w - 78)*(w - 8)
Let 2*b**3/9 - 580*b**2/9 - 194*b/3 = 0. What is b?
-1, 0, 291
Factor 8*g**3 - 19*g**2 + 11*g/2 + 1.
(g - 2)*(2*g - 1)*(8*g + 1)/2
Solve g**4 + 29*g**3 + 222*g**2 + 140*g - 392 = 0 for g.
-14, -2, 1
Let -5*l**3 + 120*l**2 + 125*l = 0. Calculate l.
-1, 0, 25
Determine l so that 2*l**3 + 170*l**2 - 528*l = 0.
-88, 0, 3
Let -2*r**3/9 + 74*r**2/3 - 720*r + 1944 = 0. What is r?
3, 54
Factor -2*u**2 + 6424*u - 5158472.
-2*(u - 1606)**2
Find b, given that 6*b**3/7 - 86*b**2/7 = 0.
0, 43/3
Factor x**5/5 + 11*x**4/5 + 33*x**3/5 + x**2 - 10*x.
x*(x - 1)*(x + 2)*(x + 5)**2/5
Factor -4*y**2 - 120*y - 884.
-4*(y + 13)*(y + 17)
Determine c so that 800*c**4/19 - 3920*c**3/19 - 398*c**2/19 - 10*c/19 = 0.
-1/20, 0, 5
Factor -62*x**3/7 + 118*x**2/7 - 50*x/7 - 6/7.
-2*(x - 1)**2*(31*x + 3)/7
Suppose -2*t**3/21 - 306*t**2/7 + 176*t - 3704/21 = 0. What is t?
-463, 2
Factor -3*n**2 + 9*n.
-3*n*(n - 3)
Factor -5*x**4/6 + 115*x**3/6.
-5*x**3*(x - 23)/6
Factor 2*r**3/9 + 8*r**2/9 - 82*r/9 + 8.
2*(r - 4)*(r - 1)*(r + 9)/9
Solve -o**3/9 - 25*o**2/9 - 208*o/9 - 64 = 0 for o.
-9, -8
Factor 4*f**5 + 324*f**4 - 2752*f**3 + 8416*f**2 - 11328*f + 5696.
4*(f - 2)**4*(f + 89)
What is g in -3*g**4 - 276*g**3 + 588*g**2 + 2256*g = 0?
-94, -2, 0, 4
Let 27436*w**5 - 31768*w**4 - 50312*w**3 + 8432*w**2 - 452*w + 8 = 0. What is w?
-1, 1/19, 2
Determine k so that -k**5/3 + 7*k**4/3 + 118*k**3 + 338*k**2/3 - 353*k/3 - 115 = 0.
-15, -1, 1, 23
Factor -2*s**3 - 484*s**2 - 478*s + 964.
-2*(s - 1)*(s + 2)*(s + 241)
Suppose 5*m**4/3 - 101*m**3/3 + 685*m**2/3 - 1603*m/3 + 98 = 0. What is m?
1/5, 6, 7
Suppose 5*k**5/2 - 75*k**4/2 - 15*k**3 + 1550*k**2 - 1500*k = 0. What is k?
-6, 0, 1, 10
Find x, given that -4*x**4 - 40*x**3 - 128*x**2 - 128*x = 0.
-4, -2, 0
Factor 5*r**2 - 705*r + 5320.
5*(r - 133)*(r - 8)
Determine j, given that -2*j**3 - 156*j**2 - 154*j = 0.
-77, -1, 0
Solve 245*f**5 + 18970*f**4 + 485225*f**3 + 4005560*f**2 - 2409500*f + 350000 = 0 for f.
-28, -25, 2/7
Suppose 3*x**3 - 21*x**2 + 18*x = 0. What is x?
0, 1, 6
Factor 3*h**2/5 + 18*h/5.
3*h*(h + 6)/5
Factor -6*l**3/7 + 4*l**2/7 + 6*l/7 - 4/7.
-2*(l - 1)*(l + 1)*(3*l - 2)/7
Factor -5*k**4 + 65*k**3 - 285*k**2 + 475*k - 250.
-5*(k - 5)**2*(k - 2)*(k - 1)
Determine u so that -3*u**2/7 - 1032*u/7 - 88752/7 = 0.
-172
Factor -2*q**2/7 - 8*q/7 + 6.
-2*(q - 3)*(q + 7)/7
Suppose 8*u**3/3 + 74*u**2 + 544*u/3 - 50 = 0. What is u?
-25, -3, 1/4
Let 2*h**2/3 - 64*h/3 + 62/3 = 0. What is h?
1, 31
Determine y so that -4*y**2 + 1392*y - 121104 = 0.
174
Find w, given that 5*w**4 - 95*w**3 + 445*w**2 - 745*w + 390 = 0.
1, 2, 3, 13
Let -x**5/3 + 25*x**4 - 73*x**3/3 - 25*x**2 + 74*x/3 = 0. Calculate x.
-1, 0, 1, 74
Find g, given that 4*g**3/5 + 20*g**2 + 572*g/5 - 676/5 = 0.
-13, 1
What is x in 2*x**2 + 4*x = 0?
-2, 0
Determine y, given that -2*y**5/5 - 82*y**4/5 - 1092*y**3/5 - 4312*y**2/5 + 5488*y/5 = 0.
-14, 0, 1
Suppose -2*m**2/15 - 158*m/3 = 0. What is m?
-395, 0
Let h**5/5 + 34*h**4/5 - 241*h**3/5 - 34*h**2/5 + 48*h = 0. What is h?
-40, -1, 0, 1, 6
Let -6*h**2 - 74*h - 24 = 0. Calculate h.
-12, -1/3
Factor 2*z**2 + 220*z - 678.
2*(z - 3)*(z + 113)
What is p in -p**5 + 110*p**4 + 5*p**3 - 550*p**2 - 4*p + 440 = 0?
-2, -1, 1, 2, 110
Determine u so that -3*u**2/2 + 168*u + 342 = 0.
-2, 114
Determine z so that -2*z**2/11 - 16*z/11 - 14/11 = 0.
-7, -1
Let -2*l**5 - 54*l**4 - 414*l**3 - 442*l**2 + 2352*l - 1440 = 0. Calculate l.
-12, -5, 1
Suppose -35*v**4 - 255*v**3 - 560*v**2 - 420*v - 80 = 0. What is v?
-4, -2, -1, -2/7
Let -5*f**5 - 20*f**4 + 15*f**3 + 170*f**2 + 260*f + 120 = 0. Calculate f.
-2, -1, 3
Factor n**2/8 - 6177*n/4 + 38155329/8.
(n - 6177)**2/8
Factor f**3 - 25*f**2 - 248*f - 528.
(f - 33)*(f + 4)**2
Factor 2*k**3/5 + 6*k**2 + 96*k/5 + 88/5.
2*(k + 2)**2*(k + 11)/5
Determine f, given that 4*f**2 - 12*f - 72 = 0.
-3, 6
Let -2*h**4/3 + 28*h**3/3 + 14*h**2/3 - 208*h/3 + 56 = 0. What is h?
-3, 1, 2, 14
Factor -2*m**2/7 + 102*m/7 - 28.
-2*(m - 49)*(m - 2)/7
Let -5*i**2 - 1940*i = 0. What is i?
-388, 0
Let 4*b**2 - 252*b + 2288 = 0. What is b?
11, 52
Factor -4*d**2/3 - 31*d/3 - 7.
-(d + 7)*(4*d + 3)/3
Let 2*v**4/19 + 2624*v**3/19 + 1291008*v**2/19 + 282300416*v/19 + 23148634112/19 = 0. What is v?
-328
Let t**3/3 - 7*t/3 + 2 = 0. What is t?
-3, 1, 2
Factor 2*d**3/3 - 20*d**2/3 + 14*d/3 + 12.
2*(d - 9)*(d - 2)*(d + 1)/3
Factor -b**2/3 - 107*b - 318.
-(b + 3)*(b + 318)/3
Suppose 2*s**2 - 424*s + 422 = 0. Calculate s.
1, 211
Factor m**3/2 - 24*m**2 + 525*m/2 + 625.
(m - 25)**2*(m + 2)/2
Factor s**4 - 3*s**3 - 10*s**2 + 24*s.
s*(s - 4)*(s - 2)*(s + 3)
Factor 4*r**3 - 64*r**2 + 172*r + 240.
4*(r - 12)*(r - 5)*(r + 1)
Factor z**2/12 + 17*z/6.
z*(z + 34)/12
Factor a**2/3 + 53*a/3 - 56.
(a - 3)*(a + 56)/3
Determine s so that -s**3 - 24*s**2 + 51*s - 26 = 0.
-26, 1
Factor 5*o**4 + 4900*o**3 + 1175750*o**2 - 12127500*o + 30628125.
5*(o - 5)**2*(o + 495)**2
Let -4*k**4 - 100*k**3 - 728*k**2 - 2048*k - 1920 = 0. What is k?
-15, -4, -2
Solve -15*y**5/4 - 261*y**4/4 - 1377*y**3/4 - 2355*y**2/4 - 387*y - 81 = 0 for y.
-9, -6, -1, -2/5
Factor -12*g**4 + 40*g**3 + 32*g**2.
-4*g**2*(g - 4)*(3*g + 2)
Suppose 2*w**4 - 26*w**3 - 206*w**2 + 482*w - 252 = 0. What is w?
-7, 1, 18
What is l in -3*l**5/8 - 27*l**4/8 - 12*l**3 - 21*l**2 - 18*l - 6 = 0?
-2, -1
Let 4*w**4 + 44*w**3 = 0. What is w?
-11, 0
Factor -5*g**3 + 265*g**2 - 3640*g + 3380.
-5*(g - 26)**2*(g - 1)
Factor -3*d**5/7 + 15*d**4/7 - 18*d**3/7 - 12*d**2/7 + 24*d/7.
-3*d*(d - 2)**3*(d + 1)/7
Find d, given that -5*d**5/2 - 105*d**4/2 - 180*d**3 + 1070*d**2 - 240*d - 1440 = 0.
-12, -1, 2
Solve -u**3 + 117*u**2 - 2688*u - 45056 = 0.
-11, 64
Factor -2*x**2 - 42*x - 40.
-2*(x + 1)*(x + 20)
Factor 8*r**4/9 + 530*r**3/9 + 3916*r**2/3 + 88088*r/9 + 21296/9.
2*(r + 22)**3*(4*r + 1)/9
Solve -u**2/4 - 167*u/4 + 42 = 0 for u.
-168, 1
Find o such that 16*o**5 - 4180*o**4 - 3148*o**3 + 1048*o**2 = 0.
-1, 0, 1/4, 262
Factor d**5 + 98*d**4 + 3168*d**3 + 32670*d**2 - 35937*d.
d*(d - 1)*(d + 33)**3
What is n in 2*n**2 - 576*n + 41472 = 0?
144
Find t, given that 20*t**5 + 4*t**4 - 120*t**3 + 136*t**2 - 28*t - 12 = 0.
-3, -1/5, 1
Find o, given that -2*o**2 - 604*o - 45602 = 0.
-151
Let 14*z**3 - 6*z**2 - 20*z = 0. Calculate z.
-1, 0, 10/7
Let -16*z**3/3 + 296*z**2/3 + 151*z/3 + 19/3 = 0. Calculate z.
-1/4, 19
Factor -11*d**5 - 8*d**4 + 3*d**3.
-d**3*(d + 1)*(11*d - 3)
What is p in -4*p**4 - 80*p**3 - 60*p**2 + 320*p + 304 = 0?
-19, -2, -1, 2
Factor 5*z**3 + 2*z**2 - 5*z - 2.
(z - 1)*(z + 1)*(5*z + 2)
Factor -3*l**4 + 48*l**3 + 171*l**2 + 12*l - 228.
-3*(l - 19)*(l - 1)*(l + 2)**2
Factor -u**3 - 41*u**2/2 - 110*u - 50.
-(u + 10)**2*(2*u + 1)/2
Determine b, gi