*m**2/9 - 1408*m/9 + 1400/9 = 0. Calculate m.
2, 175
Suppose 4*x**2 + 32*x + 48 = 0. Calculate x.
-6, -2
Factor -3*h**5/4 + 3*h**4/2 - 3*h**3/4.
-3*h**3*(h - 1)**2/4
Factor 20*g**4 - 20*g**3 - 135*g**2 + 135.
5*(g - 3)*(g - 1)*(2*g + 3)**2
Solve d**5 + 7*d**4 - 6*d**3 - 34*d**2 + 53*d - 21 = 0.
-7, -3, 1
Factor -2*r**2 - 20*r - 50.
-2*(r + 5)**2
Solve 2*h**5/7 - 160*h**4/7 - 702*h**3 - 34992*h**2/7 - 4320*h = 0 for h.
-12, -1, 0, 105
Suppose o**2/5 - 469*o/5 = 0. Calculate o.
0, 469
Factor 36*o**4 - 89*o**3 + 72*o**2 - 21*o + 2.
(o - 1)**2*(4*o - 1)*(9*o - 2)
Factor 2*a**3 - 8*a**2 - 42*a.
2*a*(a - 7)*(a + 3)
Find x, given that -2*x**2 + 396*x - 19602 = 0.
99
Let 81*q**5 + 936*q**4 - 7799*q**3 - 4938*q**2 + 3308*q - 408 = 0. What is q?
-17, -1, 2/9, 6
Factor -2*c**2/5 - 78*c/5 + 164/5.
-2*(c - 2)*(c + 41)/5
Factor 5*b**3 + 45*b**2 + 135*b + 135.
5*(b + 3)**3
Factor s**3/2 - 63*s**2/2 - 405*s/2 - 621/2.
(s - 69)*(s + 3)**2/2
Factor 5*n**2 - 125*n - 270.
5*(n - 27)*(n + 2)
Factor i**3 + 86*i**2.
i**2*(i + 86)
Suppose -5*o**3/4 - 5*o**2 + 55*o + 120 = 0. What is o?
-8, -2, 6
Solve t**2/2 - 321*t/2 + 319 = 0.
2, 319
Solve 9*x**5/4 - 65*x**4/4 + 59*x**3/4 + 53*x**2/4 - 17*x + 3 = 0.
-1, 2/9, 1, 6
What is i in -3*i**3 + 684*i**2 = 0?
0, 228
What is c in -30*c**2/7 + 34*c/7 - 4/7 = 0?
2/15, 1
Factor -h**4/5 + 74*h**3/5 - 141*h**2/5 - 216*h/5.
-h*(h - 72)*(h - 3)*(h + 1)/5
Factor -4*r**3 - 12*r**2 + 96*r - 112.
-4*(r - 2)**2*(r + 7)
Factor t**5 - 3*t**4 - 5*t**3 + 27*t**2 - 32*t + 12.
(t - 2)**2*(t - 1)**2*(t + 3)
Solve 3*q**5/7 + 3*q**4 - 33*q**3/7 - 57*q**2/7 + 114*q/7 - 48/7 = 0.
-8, -2, 1
Find u, given that -900*u**3 - 645*u**2 + 237*u - 18 = 0.
-1, 2/15, 3/20
Factor -q**2/6 + 3*q/2 - 10/3.
-(q - 5)*(q - 4)/6
Factor -v**5 - 30*v**4 - 329*v**3 - 1496*v**2 - 1728*v + 3584.
-(v - 1)*(v + 7)*(v + 8)**3
Let 5*a**5/3 + 36*a**4 + 551*a**3/3 + 84*a**2 - 196*a/3 = 0. Calculate a.
-14, -7, -1, 0, 2/5
Factor -3*z**2 - 276*z - 273.
-3*(z + 1)*(z + 91)
Factor 2*y**2/3 + 94*y/3 - 196/3.
2*(y - 2)*(y + 49)/3
Factor a**3/5 + 77*a**2/5 + 767*a/5 - 169.
(a - 1)*(a + 13)*(a + 65)/5
What is g in 42*g**5/5 - 108*g**4/5 - 54*g**3/5 + 168*g**2/5 + 72*g/5 = 0?
-1, -3/7, 0, 2
Let -70*l**5 + 984*l**4 - 3424*l**3 - 684*l**2 + 3206*l - 588 = 0. Calculate l.
-1, 1/5, 6/7, 7
Suppose -2*w**3/5 - 94*w**2/5 - 344*w/5 = 0. Calculate w.
-43, -4, 0
What is t in 28*t**4/3 - 52*t**3 + 248*t**2/3 - 32*t = 0?
0, 4/7, 2, 3
Find l such that -6*l**3 + 212*l**2 + 366*l + 148 = 0.
-1, -2/3, 37
Factor -3*w**2 + 15333*w.
-3*w*(w - 5111)
Find j such that -j**3/4 - 55*j**2/4 + 241*j/4 + 295/4 = 0.
-59, -1, 5
What is k in -4*k**5 - 40*k**4 - 752*k**3/9 + 40*k**2/9 + 28*k/3 = 0?
-7, -3, -1/3, 0, 1/3
Factor -3*p**2/5 - 12*p/5 - 9/5.
-3*(p + 1)*(p + 3)/5
Determine a so that -a**4/5 - 134*a**3/5 - 897*a**2 + 536*a/5 + 17956/5 = 0.
-67, -2, 2
Factor -2*v**2 - 80*v + 4608.
-2*(v - 32)*(v + 72)
Factor -z**3 - 8*z**2 + 19*z - 10.
-(z - 1)**2*(z + 10)
Let -d**2/4 - 1224*d - 1498176 = 0. Calculate d.
-2448
Factor k**3 + 3312*k**2 + 3656448*k + 1345572864.
(k + 1104)**3
Factor -z**4/3 - 2*z**3 - 4*z**2 - 10*z/3 - 1.
-(z + 1)**3*(z + 3)/3
Determine l so that 2*l**2 - 734*l - 2220 = 0.
-3, 370
Factor 5*b**4 + 368*b**3 + 31576*b**2/5 - 83904*b/5 + 51984/5.
(b + 38)**2*(5*b - 6)**2/5
Determine c so that 4*c**2/3 + 128*c/3 + 448/3 = 0.
-28, -4
Factor c**2/6 + 10*c/3 - 7/2.
(c - 1)*(c + 21)/6
Factor 4*c**3 + 60*c**2 - 456*c - 1120.
4*(c - 7)*(c + 2)*(c + 20)
Factor -4*s**2/5 - 224*s/5 - 44.
-4*(s + 1)*(s + 55)/5
What is b in -b**2 - 72*b - 1296 = 0?
-36
Determine z, given that -2*z**2/9 - 332*z/9 - 13778/9 = 0.
-83
What is g in -2*g**4 + 68*g**3 - 498*g**2 - 1512*g + 1944 = 0?
-3, 1, 18
Factor 2*v**5/5 - 2*v**4 + 4*v**3 - 4*v**2 + 2*v - 2/5.
2*(v - 1)**5/5
Factor u**2/3 + 5444*u/3 + 7409284/3.
(u + 2722)**2/3
Find k such that 2*k**3 + 604*k**2 + 1200*k = 0.
-300, -2, 0
Find x, given that 2*x**5/3 + 2*x**4/3 - 12*x**3 - 12*x**2 + 54*x + 54 = 0.
-3, -1, 3
Factor f**3/5 + 36*f**2/5 + 128*f/5.
f*(f + 4)*(f + 32)/5
Find u such that 3*u**3 + 15*u**2 + 12*u = 0.
-4, -1, 0
Suppose o**5 - 34*o**4 + 321*o**3 - 1076*o**2 + 1460*o - 672 = 0. What is o?
1, 2, 8, 21
What is c in c**4 + 3*c**3 + 3*c**2 + c = 0?
-1, 0
Factor -w**3/3 + 10*w**2/3 - 16*w/3.
-w*(w - 8)*(w - 2)/3
Factor 3*i**2/5 - 21012*i/5 + 36792012/5.
3*(i - 3502)**2/5
What is d in 2*d**5 - 20*d**4 + 24*d**3 + 80*d**2 - 128*d = 0?
-2, 0, 2, 8
Factor 3*b**3 - 54*b**2 + 288*b - 384.
3*(b - 8)**2*(b - 2)
Suppose 4*u**3 - 22128*u**2 + 30603024*u = 0. What is u?
0, 2766
Factor -a**3/5 + 27*a**2/5 - 168*a/5 - 196/5.
-(a - 14)**2*(a + 1)/5
Factor -10*s**4/9 - 62*s**3/9 - 4*s**2/3.
-2*s**2*(s + 6)*(5*s + 1)/9
Factor -2*z**4/11 + 16*z**3/11 + 16*z**2/11 - 192*z/11 - 288/11.
-2*(z - 6)**2*(z + 2)**2/11
Factor -5*w**3 - 3720*w**2 - 713700*w - 8037360.
-5*(w + 12)*(w + 366)**2
Determine u so that 3*u**4 - 9*u**3 + 3*u**2 + 9*u - 6 = 0.
-1, 1, 2
Factor -l**2/6 + 32*l/3 + 152.
-(l - 76)*(l + 12)/6
Factor g**2/5 + 51*g/5 + 112.
(g + 16)*(g + 35)/5
Factor -5*u**3 + 45*u**2 + 510*u + 800.
-5*(u - 16)*(u + 2)*(u + 5)
Factor 2*p**2 + 166*p - 340.
2*(p - 2)*(p + 85)
Suppose -2*w**4 + 222*w**3 + 910*w**2 + 1146*w + 460 = 0. Calculate w.
-2, -1, 115
Determine b, given that -3*b**3/2 - 53*b**2/2 + 112*b/3 - 38/3 = 0.
-19, 2/3
Factor -2*o**2/5 - 852*o/5 + 854/5.
-2*(o - 1)*(o + 427)/5
What is o in o**3/2 + 2461*o**2/2 + 757680*o + 756450 = 0?
-1230, -1
Suppose 3*s**2 - 264*s - 540 = 0. What is s?
-2, 90
Factor -2*x**3/9 + 16*x**2/3 - 346*x/9 + 220/3.
-2*(x - 11)*(x - 10)*(x - 3)/9
Find c, given that -3*c**4 + 552*c**3 - 24834*c**2 - 51336*c - 25947 = 0.
-1, 93
Let 2*x**5/3 + 2*x**4 - 4*x**3/3 - 4*x**2 + 2*x/3 + 2 = 0. Calculate x.
-3, -1, 1
Solve q**3/5 + 9*q**2/5 + 14*q/5 = 0 for q.
-7, -2, 0
Determine j so that -3*j**3/5 + 3*j**2 - 24*j/5 + 12/5 = 0.
1, 2
Find o such that o**2/5 + 336*o + 141120 = 0.
-840
Suppose -36*h**4/7 - 316*h**3/7 - 468*h**2/7 + 1020*h/7 - 200/7 = 0. What is h?
-5, 2/9, 1
Let 2*v**5/7 + 6*v**4/7 - 32*v**3/7 + 24*v**2/7 = 0. What is v?
-6, 0, 1, 2
Suppose -v**2 + 96*v + 297 = 0. What is v?
-3, 99
Solve 3*x**3 - 297*x**2 + 9801*x - 107811 = 0.
33
Factor v**2/5 - 1714*v/5 + 734449/5.
(v - 857)**2/5
Factor -r**2 + 203*r + 204.
-(r - 204)*(r + 1)
Factor 2*y**5 - 258*y**4 + 11580*y**3 - 200572*y**2 + 917826*y - 1240578.
2*(y - 41)**3*(y - 3)**2
Factor 3*o**3/5 - 3*o**2 - 18*o/5.
3*o*(o - 6)*(o + 1)/5
Factor 2*o**3/7 - 2*o/7.
2*o*(o - 1)*(o + 1)/7
Suppose -2*v**2/9 + 280*v/9 + 94/3 = 0. Calculate v.
-1, 141
Determine v so that -v**3/4 - 9*v**2 = 0.
-36, 0
Find c, given that 22*c**4 + 34*c**3 + 12*c**2 = 0.
-1, -6/11, 0
Suppose -32*d**5/17 + 208*d**4/17 - 386*d**3/17 + 284*d**2/17 - 82*d/17 + 8/17 = 0. What is d?
1/4, 1, 4
Find x, given that 2*x**5/11 - 422*x**4/11 + 22466*x**3/11 - 21210*x**2/11 - 44100*x/11 = 0.
-1, 0, 2, 105
Factor 3*t**2 - 36300*t + 109807500.
3*(t - 6050)**2
Determine w so that -w**3 + 42*w**2 - 407*w - 450 = 0.
-1, 18, 25
Determine s, given that 4*s**4/7 - 27*s**3/7 + 33*s**2/7 + 10*s/7 = 0.
-1/4, 0, 2, 5
Factor 5*w**2 + 290*w + 560.
5*(w + 2)*(w + 56)
Determine l so that -2*l**3 + 6*l**2 + 2*l - 6 = 0.
-1, 1, 3
Solve 2*o**2/13 - 16*o/13 + 24/13 = 0.
2, 6
Factor -1445*z**3 + 1105*z**2 + 320*z + 20.
-5*(z - 1)*(17*z + 2)**2
Determine c, given that -24*c**2 - 2079*c + 783 = 0.
-87, 3/8
Factor -2*f**2/21 + 80*f/21 + 86/7.
-2*(f - 43)*(f + 3)/21
Solve 3*p**4/5 - 6*p**3 - 15*p**2 + 6*p + 72/5 = 0.
-2, -1, 1, 12
Solve 2*o**5/3 + 74*o**4/3 - 4*o**3/3 - 148*o**2/3 + 2*o/3 + 74/3 = 0 for o.
-37, -1, 1
Find w, given that w**3/2 - 11*w**2/2 + 14*w = 0.
0, 4, 7
What is m in -2*m**2 - 6*m + 308 = 0?
-14, 11
Factor -5*r**3 - 15*r**2 + 80*r + 240.
-5*(r - 4)*(r + 3)*(r + 4)
Factor -4*l**5 + 248*l**4 - 720*l**3 + 712*l**2 - 236*l.
-4*l*(l - 59)*(l - 1)**3
Let 18*u**5/11 - 42*u**4/11 - 34*u**3/11 - 6*u**2/11 = 0. Calculate u.
-1/3, 0, 3
Solve 15*m**5/4 + 321*m**4/4 + 480*m**3 + 525*m**2 = 0.
-10, -7/5, 0
Factor b**3 - 37*b**2 + 71*b - 35.
(b - 35)*(b - 1)**2
Suppose -3*g**2 + 49*g/2 - 4 = 0. What is g?
1/6, 8
Solve -15*f**3 - 1045*f**2/3 - 2120*f/3 - 140 = 0 for f.
-21, -2, -2/9
Suppose 4*o**2/3 - 36*o - 640/3 = 0. Calculate o.
-5, 32
Find p, given that -2*p**