)**2/7
Factor u**5/3 + 109*u**4/3 + 2803*u**3/3 - 9073*u**2/3 + 9296*u/3 - 3136/3.
(u - 1)**3*(u + 56)**2/3
Factor 2*d**2 + 24*d + 22.
2*(d + 1)*(d + 11)
Factor -j**2/2 - 49*j/2 - 290.
-(j + 20)*(j + 29)/2
Determine g so that 2*g**5/9 + 176*g**4/3 + 35372*g**3/9 + 23056*g**2/3 + 34322*g/9 = 0.
-131, -1, 0
Factor 2*p**2/17 + 10*p/17 + 8/17.
2*(p + 1)*(p + 4)/17
Determine m so that -3*m**2 + 51*m - 216 = 0.
8, 9
Solve 2*v**3/11 - 16*v**2/11 + 32*v/11 = 0.
0, 4
Factor -3*h**2 - 12078*h - 12156507.
-3*(h + 2013)**2
Factor 2*t**5 - 6*t**3 + 4*t**2.
2*t**2*(t - 1)**2*(t + 2)
Suppose -28*j**5 + 72*j**4 - 48*j**3 - 8*j**2 + 12*j = 0. Calculate j.
-3/7, 0, 1
Factor -2*a**3 - 8*a**2 + 14*a + 20.
-2*(a - 2)*(a + 1)*(a + 5)
Solve 2*m**5/9 - 16*m**4/3 - 2*m**3/9 + 16*m**2/3 = 0.
-1, 0, 1, 24
Factor 2*o**3 + 798*o**2 - 1602*o + 802.
2*(o - 1)**2*(o + 401)
Find u, given that 3*u**3/5 - 3*u**2 - 24*u/5 + 144/5 = 0.
-3, 4
Solve q**3/2 - 8*q**2 + 49*q/2 + 33 = 0.
-1, 6, 11
Let c**3/7 - 27*c**2/7 - 120*c/7 - 124/7 = 0. Calculate c.
-2, 31
Solve 3*u**5 + 1064*u**4/3 + 43328*u**3/3 + 219792*u**2 + 2119792*u/3 + 438976/3 = 0 for u.
-38, -4, -2/9
Solve 147*r**5/4 - 63*r**4/2 - 501*r**3/2 + 567*r/4 - 81/2 = 0.
-2, -1, 3/7, 3
Factor 2*l**2/3 + 190*l/3 + 124.
2*(l + 2)*(l + 93)/3
Determine k so that 27*k**4/4 - 63*k**3/4 - 237*k**2/2 - 168*k - 72 = 0.
-4/3, -1, 6
Suppose -5*f**2 - 39*f + 8 = 0. What is f?
-8, 1/5
Factor d**2/7 - 79*d/7 - 86.
(d - 86)*(d + 7)/7
Factor -3*r**2/2 - 51*r + 105/2.
-3*(r - 1)*(r + 35)/2
Factor 5*z**5 + 5*z**4 - 30*z**3 - 20*z**2 + 40*z.
5*z*(z - 2)*(z - 1)*(z + 2)**2
Factor 4*x**2 - 116*x - 840.
4*(x - 35)*(x + 6)
Factor v**2 + 140*v + 276.
(v + 2)*(v + 138)
Find v, given that 175*v**4 - 80*v**3 - 175*v**2 + 80*v = 0.
-1, 0, 16/35, 1
Factor -3*g**2/5 + 24*g/5 + 12.
-3*(g - 10)*(g + 2)/5
Factor f**3/8 + 5*f**2/8 - f/4 - 3.
(f - 2)*(f + 3)*(f + 4)/8
Let p**2/4 - 17*p/4 - 19/2 = 0. Calculate p.
-2, 19
Find k, given that k**3/3 - 233*k**2/6 + 55*k/3 + 116 = 0.
-3/2, 2, 116
Let 3*o**4 + 81*o**3 - 558*o**2 + 1164*o - 792 = 0. What is o?
-33, 2
Factor x**3/5 - 81*x**2/5 + 2187*x/5 - 19683/5.
(x - 27)**3/5
Factor -2*g**3/15 - 614*g**2/15 - 3162*g - 15606/5.
-2*(g + 1)*(g + 153)**2/15
Suppose 2*d**5 + 18*d**4 + 52*d**3 + 36*d**2 - 54*d - 54 = 0. What is d?
-3, -1, 1
Solve 2*i**3/11 - 60*i**2/11 + 114*i/11 - 56/11 = 0 for i.
1, 28
Factor 49*z**3/4 + 553*z**2/4 + 155*z/4 + 11/4.
(z + 11)*(7*z + 1)**2/4
Let 3*f**2/2 + 1359*f + 615627/2 = 0. Calculate f.
-453
Find w such that -2*w**2 + 2148*w - 576738 = 0.
537
Factor 2*x**2/11 + 222*x/11 + 436/11.
2*(x + 2)*(x + 109)/11
Factor -g**3/2 - 13*g**2/2 - 21*g.
-g*(g + 6)*(g + 7)/2
What is j in 16*j**5/5 + 76*j**4 + 2832*j**3/5 + 5156*j**2/5 - 10688*j/5 + 2304/5 = 0?
-9, -8, 1/4, 1
Factor 100*s**2 + 680*s + 1156.
4*(5*s + 17)**2
Factor -5*h**4 - 5*h**3 + 105*h**2 + 205*h + 100.
-5*(h - 5)*(h + 1)**2*(h + 4)
Solve -4*s**3 + 24*s**2 + 924*s - 7744 = 0 for s.
-16, 11
Factor -4*r**3 + 176*r**2 + 180*r.
-4*r*(r - 45)*(r + 1)
Factor -65*t**3 + 140*t**2 - 85*t + 10.
-5*(t - 1)**2*(13*t - 2)
Factor 5*w**2 + 50*w - 55.
5*(w - 1)*(w + 11)
Let 5*z**3 + 90*z**2 = 0. What is z?
-18, 0
Solve 10*u**5 - 986*u**4 + 1534*u**3 + 1762*u**2 - 1544*u - 776 = 0.
-1, -2/5, 1, 2, 97
Factor 2*o**3 - 194*o**2 + 188*o + 384.
2*(o - 96)*(o - 2)*(o + 1)
Find u, given that 3*u**5/5 + 96*u**4/5 - 108*u**3/5 - 282*u**2/5 + 489*u/5 - 198/5 = 0.
-33, -2, 1
Solve -2*z**2/9 - 4*z + 80/9 = 0 for z.
-20, 2
Factor -t**2 + 1762*t - 776161.
-(t - 881)**2
Factor -o**2/7 + 20*o/7 + 27.
-(o - 27)*(o + 7)/7
Factor -2*j**4 + 70*j**3 - 388*j**2 - 4480*j + 4800.
-2*(j - 20)**2*(j - 1)*(j + 6)
Factor i**2/7 - 2077*i/7 - 2078/7.
(i - 2078)*(i + 1)/7
Factor -m**4/11 + 3*m**2/11 - 2*m/11.
-m*(m - 1)**2*(m + 2)/11
Factor -5*j**4 - 435*j**3 - 1275*j**2 - 1265*j - 420.
-5*(j + 1)**3*(j + 84)
Let -k**2 + 469*k - 934 = 0. What is k?
2, 467
Let -2*c**5 + 622*c**4 - 48668*c**3 + 47428*c**2 + 48670*c - 48050 = 0. What is c?
-1, 1, 155
Solve 5*h**5/2 + 59*h**4 + 436*h**3 + 1016*h**2 + 520*h - 400 = 0.
-10, -2, 2/5
Determine b so that 1875*b**5 - 57000*b**4 - 94200*b**3 - 57120*b**2 - 15312*b - 1536 = 0.
-2/5, 32
Factor 3*b**3 - 738*b**2 - 2988*b - 3000.
3*(b - 250)*(b + 2)**2
Suppose -h**4/2 - 13*h**3/4 - 17*h**2/4 + 3*h = 0. Calculate h.
-4, -3, 0, 1/2
Suppose 21*k**2 + 120*k - 189 = 0. What is k?
-7, 9/7
What is a in -2*a**4/3 - 340*a**3 - 129026*a**2/3 + 87040*a - 131072/3 = 0?
-256, 1
Factor -2*j**2/7 - 976*j/7 - 119072/7.
-2*(j + 244)**2/7
Factor -3*i**3 - 4530*i**2 + 9069*i - 4536.
-3*(i - 1)**2*(i + 1512)
Solve r**2/4 - 6705*r/2 + 44957025/4 = 0 for r.
6705
Determine a, given that 12*a**5 - 332*a**4 + 2532*a**3 - 2948*a**2 - 3120*a + 2704 = 0.
-1, 2/3, 2, 13
Suppose -5*i**2/2 - 90*i - 170 = 0. Calculate i.
-34, -2
What is k in -20*k**3 + 324*k**2 - 1344*k + 256 = 0?
1/5, 8
Factor 2*w**5 - 14*w**4 - 108*w**3 - 152*w**2 + 80*w + 192.
2*(w - 12)*(w - 1)*(w + 2)**3
Let -u**4/2 - 3*u**3/2 + 33*u**2/2 - 53*u/2 + 12 = 0. Calculate u.
-8, 1, 3
Factor 4*g**2 + 40*g - 156.
4*(g - 3)*(g + 13)
Suppose -4*v**3 + 1716*v**2 + 3444*v + 1724 = 0. Calculate v.
-1, 431
Find b such that 5*b**4/2 + 55*b**3/2 + 175*b**2/2 + 125*b/2 = 0.
-5, -1, 0
Factor 3*t**4/2 + 21*t**3 + 90*t**2 + 156*t + 96.
3*(t + 2)**3*(t + 8)/2
Let -g**2 + 2754*g - 1896129 = 0. What is g?
1377
Solve 4*a**2 - 140*a + 1104 = 0 for a.
12, 23
Factor -7*c**4/5 + 142*c**3/5 - 148*c**2 + 40*c.
-c*(c - 10)**2*(7*c - 2)/5
Factor 9*v**3 - 14*v**2 + v + 4.
(v - 1)**2*(9*v + 4)
Determine l, given that -l**2 + 2*l + 48 = 0.
-6, 8
Solve 3*v**2 + 201*v = 0.
-67, 0
Let -4*n**2 + 538*n + 270 = 0. What is n?
-1/2, 135
Let 10*l**5/3 + 7246*l**4/3 + 438260*l**3 + 783368*l**2/3 - 524176*l/3 = 0. Calculate l.
-362, -1, 0, 2/5
Factor 3*u**2/2 - 729*u - 1461/2.
3*(u - 487)*(u + 1)/2
Factor u**2/4 - 45*u/4 + 133/2.
(u - 38)*(u - 7)/4
Factor 3*w**2 + 123*w - 396.
3*(w - 3)*(w + 44)
What is x in x**4/2 + 58*x**3 + 114*x**2 = 0?
-114, -2, 0
Determine n, given that n**4/2 - 7*n**3/8 - 13*n**2/8 + 7*n/2 - 3/2 = 0.
-2, 3/4, 1, 2
Factor -2*h**4/9 + 364*h**3/9 - 358*h**2/3.
-2*h**2*(h - 179)*(h - 3)/9
Solve -7*k**5/8 + 40*k**4 - 827*k**3/8 + 215*k**2/4 = 0 for k.
0, 5/7, 2, 43
What is q in 3*q**4/8 - 63*q**3/4 + 441*q**2/2 - 1029*q = 0?
0, 14
Find n, given that -4*n**3 - 64*n**2 - 204*n - 144 = 0.
-12, -3, -1
Factor 6*l**4 + 57*l**3 + 162*l**2 + 96*l - 96.
3*(l + 2)*(l + 4)**2*(2*l - 1)
Let 16*q**4/5 - 8*q**3 + 36*q**2/5 - 14*q/5 + 2/5 = 0. What is q?
1/2, 1
Solve 4*m**3 - 15628*m**2 = 0.
0, 3907
Let -3*i**4 + 21*i**3 - 12*i**2 - 36*i = 0. Calculate i.
-1, 0, 2, 6
Suppose -h**5/7 + 9*h**4/7 + 3*h**3/7 - 25*h**2/7 - 18*h/7 = 0. Calculate h.
-1, 0, 2, 9
Determine z so that -531*z**4/5 + 867*z**3/5 + 384*z**2/5 + 12*z/5 = 0.
-1/3, -2/59, 0, 2
Determine p, given that -2*p**2/3 - 1316*p - 3946/3 = 0.
-1973, -1
Factor y**2/3 - 214*y - 1288/3.
(y - 644)*(y + 2)/3
Determine a, given that -2*a**2/7 - 8*a - 192/7 = 0.
-24, -4
Factor -4*l**4 - 8*l**3 + 8*l + 4.
-4*(l - 1)*(l + 1)**3
Factor u**3 - 21*u**2 + 122*u - 168.
(u - 12)*(u - 7)*(u - 2)
Determine j, given that 2*j**3/11 - 670*j**2/11 + 5264*j/11 - 10464/11 = 0.
4, 327
What is m in -2*m**4/5 - 7*m**3/5 + 69*m**2/5 - 128*m/5 + 68/5 = 0?
-17/2, 1, 2
Factor -10*y**3/17 + 118*y**2/17 - 352*y/17 + 312/17.
-2*(y - 2)**2*(5*y - 39)/17
Determine s, given that -5*s**5 - 60*s**4 - 100*s**3 + 550*s**2 + 105*s - 490 = 0.
-7, -1, 1, 2
Solve 2*o**4/13 - 18*o**3/13 + 46*o**2/13 - 30*o/13 = 0.
0, 1, 3, 5
Determine z, given that -4*z**5 - 160*z**4 - 1600*z**3 = 0.
-20, 0
Let -245*f**4 - 777*f**3 - 90*f**2 + 116*f + 24 = 0. What is f?
-3, -2/7, 2/5
Find v such that -2*v**5 + 557*v**4 + 1970*v**3 + 1132*v**2 - 1128*v = 0.
-2, 0, 1/2, 282
Let 4*s**3 + 352*s**2 - 720*s = 0. Calculate s.
-90, 0, 2
Factor -o**4 + 57*o**3 - 56*o**2.
-o**2*(o - 56)*(o - 1)
What is b in -4*b**3 + 12*b - 8 = 0?
-2, 1
Factor -2*h**4 - 6*h**3 - 2*h**2 + 6*h + 4.
-2*(h - 1)*(h + 1)**2*(h + 2)
Suppose -4*j**4 + 772*j**3 + 780*j**2 - 772*j - 776 = 0. Calculate j.
-1, 1, 194
Suppose -2*a**2/5 + 28*a/5 - 98/5 = 0. Calculate a.
7
Factor -361*l**2 + 76*l - 4.
-(19*l - 2)**2
Factor -4*x**3 - 1336*x**2 - 2660*x - 1328.
-4*(x + 1)**2*(x + 332)
Factor