 - 2379*s**2 - 3351*s - 1440.
3*(s - 160)*(s + 1)**2*(s + 3)
Find h, given that 12*h**2 - 4*h - 96 = 0.
-8/3, 3
Suppose 3*n**5/2 - 15*n**4 - 75*n**3/2 + 15*n**2 + 36*n = 0. Calculate n.
-2, -1, 0, 1, 12
Factor 2*c**3/5 + 74*c**2/5 + 124*c/5 - 112.
2*(c - 2)*(c + 4)*(c + 35)/5
What is u in -u**5 + 23*u**4 - 94*u**3 - 430*u**2 - 481*u - 169 = 0?
-1, 13
What is t in t**4/4 - 5*t**3 + 69*t**2/4 - 41*t/2 + 8 = 0?
1, 2, 16
Find q, given that 5*q**4 + 52*q**3 + 65*q**2 + 18*q = 0.
-9, -1, -2/5, 0
Factor 3*k**3/7 + 27*k**2/7 + 18*k/7 - 48/7.
3*(k - 1)*(k + 2)*(k + 8)/7
Factor -3*q**3 + 96*q**2 - 399*q - 6498.
-3*(q - 19)**2*(q + 6)
Solve 2*a**3/5 - 10*a**2 = 0.
0, 25
Find l, given that -l**3/2 - l**2/2 + l/2 + 1/2 = 0.
-1, 1
Factor 16*b**3 - 124*b**2 - 32*b.
4*b*(b - 8)*(4*b + 1)
Factor k**3/2 + 77*k**2/2 + 1443*k/2 - 1521/2.
(k - 1)*(k + 39)**2/2
Factor -4*z**3 + 56*z**2 - 176*z + 160.
-4*(z - 10)*(z - 2)**2
Find n such that -3*n**5/4 - 123*n**4/4 - 567*n**3/4 - 993*n**2/4 - 381*n/2 - 54 = 0.
-36, -2, -1
Factor -76*n**2/5 - 356*n/5 + 432/5.
-4*(n - 1)*(19*n + 108)/5
What is z in -5*z**5 - 845*z**4 - 830*z**3 + 1680*z**2 = 0?
-168, -2, 0, 1
Determine a so that -3*a**4 + 1023*a**3 - 2031*a**2 - 1023*a + 2034 = 0.
-1, 1, 2, 339
Factor 2*l**2 + 18*l.
2*l*(l + 9)
Suppose 5*l**2/8 + 69*l/8 - 45/4 = 0. Calculate l.
-15, 6/5
Suppose -u**2 - 54*u + 792 = 0. What is u?
-66, 12
Let 38*z**5/7 + 230*z**4/21 + 118*z**3/21 + 2*z**2/21 = 0. What is z?
-1, -1/57, 0
Solve -5*y**5 + 275*y**4 - 2435*y**3 + 8625*y**2 - 13680*y + 8100 = 0.
2, 3, 45
Determine t so that t**4/7 + 12*t**3/7 - t**2/7 - 12*t/7 = 0.
-12, -1, 0, 1
Suppose 100*f**5 + 320*f**4 - 8624*f**3 + 23232*f**2 = 0. What is f?
-12, 0, 22/5
Find c such that -5*c**4 - 710*c**3 + 5*c**2 + 710*c = 0.
-142, -1, 0, 1
Let 2*n**3/13 + 8*n**2/13 + 2*n/13 - 12/13 = 0. Calculate n.
-3, -2, 1
Factor -4*j**5 + 8*j**4 + 12*j**3 - 16*j**2 - 16*j.
-4*j*(j - 2)**2*(j + 1)**2
Factor -2*w**3/21 + 8*w**2/21 - 2*w/21 - 4/7.
-2*(w - 3)*(w - 2)*(w + 1)/21
Solve 20*x**4 - 15*x**3 - 240*x**2 + 500*x - 240 = 0.
-4, 3/4, 2
Suppose h**2/5 + 636*h/5 + 101124/5 = 0. What is h?
-318
Factor -u**3 - 14*u**2 - 49*u.
-u*(u + 7)**2
Factor 2*b**2/11 - 1950*b/11.
2*b*(b - 975)/11
Let -3*s**3/5 - 39*s**2/5 - 33*s - 45 = 0. What is s?
-5, -3
Factor -30*r**4 + 335*r**3 - 775*r**2 + 120*r.
-5*r*(r - 8)*(r - 3)*(6*r - 1)
What is d in -d**3/8 - 7*d**2/8 + 149*d/8 - 357/8 = 0?
-17, 3, 7
Find b such that -5*b**5/3 + 26*b**4/3 - 4*b**3/3 - 104*b**2/3 + 32*b = 0.
-2, 0, 6/5, 2, 4
Let -3*l**2/2 + 557*l/10 - 37/5 = 0. Calculate l.
2/15, 37
Suppose -k**3/3 + 8*k**2/3 + 4*k - 48 = 0. What is k?
-4, 6
Factor 4*r**3 - 32*r**2 + 20*r + 56.
4*(r - 7)*(r - 2)*(r + 1)
What is j in -5*j**5 + 60*j**4 - 230*j**3 + 300*j**2 - 125*j = 0?
0, 1, 5
Factor 2*r**2/3 + 18*r + 52/3.
2*(r + 1)*(r + 26)/3
Solve -123*f**5 - 371*f**4 - 375*f**3 - 129*f**2 - 2*f = 0.
-1, -2/123, 0
Factor p**4/4 + p**3/4 - p**2 - p.
p*(p - 2)*(p + 1)*(p + 2)/4
What is s in 3*s**2/5 + 69*s/5 + 378/5 = 0?
-14, -9
Factor -2*x**3 - 112*x**2 + 374*x + 1180.
-2*(x - 5)*(x + 2)*(x + 59)
Factor s**4/6 - s**3/6.
s**3*(s - 1)/6
Factor 2*o**4/3 - 52*o**3/3 + 128*o**2 - 192*o.
2*o*(o - 12)**2*(o - 2)/3
Factor h**3/3 + 62*h**2 + 2820*h - 17672/3.
(h - 2)*(h + 94)**2/3
Factor 2*y**2/9 + 68*y/9 + 578/9.
2*(y + 17)**2/9
Factor -5*f**4 - 5*f**3 + 175*f**2 + 645*f + 630.
-5*(f - 7)*(f + 2)*(f + 3)**2
Factor -y**5/3 - 7*y**4 - 20*y**3/3.
-y**3*(y + 1)*(y + 20)/3
Factor 3*b**5/2 - 25*b**4/2 + 28*b**3 - 8*b**2.
b**2*(b - 4)**2*(3*b - 1)/2
Factor 2*o**3/3 - 74*o**2/3 + 880*o/3 - 3400/3.
2*(o - 17)*(o - 10)**2/3
Factor -y**3/5 - 6*y**2/5 + y/5 + 6/5.
-(y - 1)*(y + 1)*(y + 6)/5
Suppose -32*f**4/17 + 1680*f**3/17 - 2466*f**2/17 + 920*f/17 - 6 = 0. What is f?
1/4, 1, 51
Determine g, given that 5*g**5 + 130*g**4 + 300*g**3 - 1150*g**2 - 2705*g - 1380 = 0.
-23, -4, -1, 3
Suppose -2*b**4/15 - 16*b**3/15 + 4*b**2/3 + 16*b/15 - 6/5 = 0. Calculate b.
-9, -1, 1
Factor -2*l**2/17 + 226*l/17 + 228/17.
-2*(l - 114)*(l + 1)/17
Factor -2*y**2/9 - 2732*y/9 - 932978/9.
-2*(y + 683)**2/9
Find g such that 3*g**3 + 57*g**2 - 426*g + 600 = 0.
-25, 2, 4
Suppose 3447*r**2/7 - 3450*r/7 + 3/7 = 0. Calculate r.
1/1149, 1
Find t such that t**3/5 + 2*t**2/5 + t/5 = 0.
-1, 0
Factor 2*u**3 - 715*u**2 - 358*u.
u*(u - 358)*(2*u + 1)
Find w such that -2*w**4/5 + 12*w**3/5 - 16*w**2/5 - 12*w/5 + 18/5 = 0.
-1, 1, 3
Determine c, given that 2*c**5 - 6*c**4 - 24*c**3 + 40*c**2 + 96*c = 0.
-2, 0, 3, 4
Suppose -32*u**4/5 - 176*u**3/5 + 94*u**2/5 - 12*u/5 = 0. Calculate u.
-6, 0, 1/4
Suppose -2*w**5/15 - 2*w**4/15 + 44*w**3/15 - 4*w**2/15 - 46*w/5 - 6 = 0. Calculate w.
-5, -1, 3
Factor -w**3 + 8*w**2 + 12*w - 144.
-(w - 6)**2*(w + 4)
What is h in -5*h**5 - 24*h**4 - 16*h**3 + 80*h**2 + 144*h + 64 = 0?
-2, -4/5, 2
Let -25*q**3 - 35*q**2 + 40*q + 20 = 0. What is q?
-2, -2/5, 1
Factor 2*j**2/5 - 504*j/5 + 1494/5.
2*(j - 249)*(j - 3)/5
Let -2*u**4/15 + 2*u**3/5 - 8*u/15 = 0. What is u?
-1, 0, 2
Factor -2*k**5/5 - 8*k**4/5 + 22*k**3/5 - 12*k**2/5.
-2*k**2*(k - 1)**2*(k + 6)/5
Solve -3*w**2/4 + 231*w/4 - 225/2 = 0 for w.
2, 75
Find i such that -138*i**3 - 140*i**2 + 274*i + 4 = 0.
-2, -1/69, 1
Factor -4*r**3/3 - 40*r**2 - 284*r/3 + 360.
-4*(r - 2)*(r + 5)*(r + 27)/3
Factor -14*p**2 - 4*p + 48.
-2*(p + 2)*(7*p - 12)
Suppose -5*o**4 - 20*o**3 + 25*o**2 = 0. What is o?
-5, 0, 1
Factor -2*a**2/5 + 652*a/5 - 53138/5.
-2*(a - 163)**2/5
Factor -4*l**3 + 4*l**2/3 + 144*l - 48.
-4*(l - 6)*(l + 6)*(3*l - 1)/3
Suppose 2*k**5 + 28*k**4 + 66*k**3 - 8*k**2 - 88*k = 0. Calculate k.
-11, -2, 0, 1
What is h in h**5/4 - 3*h**4/2 - 71*h**3/2 + 113*h**2 - 459*h/4 + 77/2 = 0?
-11, 1, 14
Factor 5*s**5 - 560*s**4 - 565*s**3.
5*s**3*(s - 113)*(s + 1)
Solve -3*d**2/5 - 5901*d/5 - 5898/5 = 0 for d.
-1966, -1
Factor 3025*i**2 - 220*i + 4.
(55*i - 2)**2
Suppose -r**5 + 66*r**4 - 1209*r**3 + 3844*r**2 = 0. What is r?
0, 4, 31
Solve 63*b**5 - 507*b**4 - 38*b**3 + 508*b**2 - 88*b - 64 = 0 for b.
-1, -2/7, 2/3, 8
Suppose 3*u**5 + 27*u**4 - 135*u**3 - 243*u**2 + 972*u = 0. What is u?
-12, -3, 0, 3
Find g such that -2*g**5 - 12*g**4 + 16*g**3 + 12*g**2 - 14*g = 0.
-7, -1, 0, 1
Let -3*h**5 - 93*h**4 + 630*h**3 - 1308*h**2 + 888*h = 0. What is h?
-37, 0, 2
Factor 49*d**3/10 + 497*d**2/2 + 2076*d/5 + 882/5.
(d + 49)*(7*d + 6)**2/10
Determine m, given that -105*m**4/2 + 365*m**3 - 730*m**2 + 460*m - 80 = 0.
2/7, 2/3, 2, 4
Let -2*z**4/7 + 22*z**2/7 + 36*z/7 + 16/7 = 0. Calculate z.
-2, -1, 4
Find h, given that 2*h**2/3 + 22*h/3 - 484/3 = 0.
-22, 11
Find g such that -2*g**2/9 - 52*g + 158 = 0.
-237, 3
Factor -3*t**5 - 231*t**4 - 4329*t**3 + 4563*t**2.
-3*t**2*(t - 1)*(t + 39)**2
Suppose -5*o**5 + 10*o**4 + 80*o**3 - 10*o**2 - 75*o = 0. Calculate o.
-3, -1, 0, 1, 5
Factor -3*a**4 + 27*a**3 - 78*a**2 + 72*a.
-3*a*(a - 4)*(a - 3)*(a - 2)
Factor 32*p**2 + 6082*p + 380.
2*(p + 190)*(16*p + 1)
Solve 3*x**5/5 - 27*x**4/5 + 81*x**3/5 - 93*x**2/5 + 36*x/5 = 0 for x.
0, 1, 3, 4
Factor -10*o**3 + 164*o**2 + 296*o - 144.
-2*(o - 18)*(o + 2)*(5*o - 2)
Factor -2*s**2 - 376*s - 17672.
-2*(s + 94)**2
Let 4*o**2 + 4*o = 0. What is o?
-1, 0
Factor s**3/6 - 6*s**2 + 239*s/6 - 70.
(s - 28)*(s - 5)*(s - 3)/6
Find o such that -2*o**2 - 1308*o - 213858 = 0.
-327
Factor 2*b**4/5 + 148*b**3/5 + 720*b**2 + 5500*b - 6250.
2*(b - 1)*(b + 25)**3/5
Suppose -15*i**4 - 9*i**3 + 6*i**2 = 0. Calculate i.
-1, 0, 2/5
What is z in 2*z**2/5 + 368*z/5 + 16928/5 = 0?
-92
Suppose -3*z**2/2 - 444*z - 32856 = 0. What is z?
-148
Factor 2*p**3/3 + 4*p**2/3.
2*p**2*(p + 2)/3
Find l such that -2304*l**2 + 960*l - 100 = 0.
5/24
Determine u so that 3*u**3 - 114*u**2 + 420*u - 408 = 0.
2, 34
Factor a**3/3 + 43*a**2/3 + 160*a/3 + 52.
(a + 2)**2*(a + 39)/3
Determine v, given that -5*v**5 - 55*v**4 - 135*v**3 - 125*v**2 - 40*v = 0.
-8, -1, 0
Determine r so that 2*r**4 - 10*r**3 - 14*r**2 + 10*r + 12 = 0.
-1, 1, 6
Factor 2*z**3 + 56*z**2 - 58*z.
2*z*(z - 1)*(z + 29)
Suppose -2*x**2/19 - 44*x/19 - 6 = 0. Calculate x.
-19, -3
Factor 100*y**3 - 35540*y**2 + 14204*y - 1420.
4*(y - 355)*(5*y - 1)**2
Factor -3*y**4 + 9*y**3 + 177*y**2 + 315*y + 150.
-3*(y - 10)*(y + 1)**2*(y + 5)
Factor -4*u**4 + 108*u**3 - 940*u**2 + 2772*u - 1936.
-4*(u - 11)**2*(u - 4)*(u - 