.
-3*(b - 15)*(b - 1)/2
Factor 3*t**4 - 57*t**3 + 240*t**2 + 300*t.
3*t*(t - 10)**2*(t + 1)
Factor 2*z**3/5 + 12*z**2/5 + 18*z/5 + 8/5.
2*(z + 1)**2*(z + 4)/5
Factor -3*j**5 - 18*j**4 + 147*j**3 - 210*j**2 - 108*j + 264.
-3*(j - 2)**3*(j + 1)*(j + 11)
Factor 3*q**2/8 - 165*q/8 + 126.
3*(q - 48)*(q - 7)/8
Suppose 4*u**4/3 - u**3 - u**2/3 = 0. What is u?
-1/4, 0, 1
Factor -3*d**2 - 78*d + 261.
-3*(d - 3)*(d + 29)
Factor -5*s**3/6 + 5*s/6.
-5*s*(s - 1)*(s + 1)/6
Let 3*k**3 - 54*k**2 - 3*k + 54 = 0. What is k?
-1, 1, 18
What is k in k**4/8 + k**3 + 7*k**2/4 - k - 15/8 = 0?
-5, -3, -1, 1
Determine j, given that j**2 - 63*j - 130 = 0.
-2, 65
Factor -5*m**4 - 30*m**3 + 135*m**2 + 1100*m + 1500.
-5*(m - 6)*(m + 2)*(m + 5)**2
Let 2*j**4/3 - 46*j**3/9 + 86*j**2/9 - 26*j/9 - 20/9 = 0. What is j?
-1/3, 1, 2, 5
Factor -a**4/5 + 916*a**3/5 - 314646*a**2/5 + 48035956*a/5 - 2750058481/5.
-(a - 229)**4/5
Factor 196*a**4 - 672*a**3 + 352*a**2 + 384*a + 64.
4*(a - 2)**2*(7*a + 2)**2
Factor -3*a**3 - 90*a**2 - 159*a + 252.
-3*(a - 1)*(a + 3)*(a + 28)
Solve 3*a**2/8 - 435*a/2 + 63075/2 = 0 for a.
290
What is h in -4*h**2 + 2800*h + 5616 = 0?
-2, 702
Solve r**4/6 - 10*r**3 + 131*r**2/3 + 118*r + 385/6 = 0 for r.
-1, 7, 55
Determine d, given that 2*d**2/7 + 680*d/7 + 6600/7 = 0.
-330, -10
Suppose 2*f**2 + 254*f/3 - 172/3 = 0. What is f?
-43, 2/3
Solve -2*v**4 - 30*v**3 - 128*v**2 - 96*v + 256 = 0 for v.
-8, -4, 1
Factor 2*j**5/21 + 4*j**4/21 - 4*j**2/21 - 2*j/21.
2*j*(j - 1)*(j + 1)**3/21
What is u in -u**5/6 - 37*u**4/6 - 359*u**3/6 - 287*u**2/6 + 60*u + 54 = 0?
-18, -1, 1
Determine q, given that 2*q**3/3 - 14*q**2/3 - 20*q = 0.
-3, 0, 10
Factor -28245*j**3 + 10*j**2.
-5*j**2*(5649*j - 2)
Factor -4*p**2 - 120*p + 124.
-4*(p - 1)*(p + 31)
Find q such that 3*q**5/2 + 6*q**4 + 9*q**3/2 - 6*q**2 - 6*q = 0.
-2, -1, 0, 1
Determine y, given that -y**3/2 + 135*y**2/2 - 6075*y/2 + 91125/2 = 0.
45
Suppose -3*b**3 - 12*b**2 + 15*b = 0. What is b?
-5, 0, 1
Let 2*h**4/17 - 28*h**3/17 + 98*h**2/17 = 0. Calculate h.
0, 7
Suppose 4*v**4 + 340*v**3 + 4532*v**2 + 8060*v + 3864 = 0. Calculate v.
-69, -14, -1
Factor o**3/3 + 5*o**2/3 + 2*o.
o*(o + 2)*(o + 3)/3
Factor 3*b**3/5 - 1161*b**2/5 + 114048*b/5 - 331776/5.
3*(b - 192)**2*(b - 3)/5
Factor o**5 + 13*o**4 + 32*o**3 + 20*o**2.
o**2*(o + 1)*(o + 2)*(o + 10)
Factor -4*v**4 - 104*v**3 + 16*v**2 + 416*v.
-4*v*(v - 2)*(v + 2)*(v + 26)
Suppose -8*z**4 - 172*z**3 - 468*z**2 - 452*z - 148 = 0. Calculate z.
-37/2, -1
Factor -d**2/4 - 49*d/2 - 2401/4.
-(d + 49)**2/4
Let -2*d**3/11 - 14*d**2/11 + 80*d/11 + 200/11 = 0. Calculate d.
-10, -2, 5
Find y such that -3*y**2 + 27*y = 0.
0, 9
Determine b, given that b**4/5 - b**3/5 - 2*b**2/5 = 0.
-1, 0, 2
What is x in 2*x**5/7 + 34*x**4/7 - 132*x**3/7 - 3076*x**2/7 + 130*x/7 + 3042/7 = 0?
-13, -1, 1, 9
Factor -2*k**3/19 - 15546*k**2/19 - 40279686*k/19 - 34788222142/19.
-2*(k + 2591)**3/19
What is l in -5*l**2 + 3590*l + 3595 = 0?
-1, 719
Factor -3*r**3 + 93*r**2 - 672*r - 768.
-3*(r - 16)**2*(r + 1)
Suppose -2*i**5 + 29*i**4 - 134*i**3 + 204*i**2 - 72*i = 0. Calculate i.
0, 1/2, 2, 6
Factor 3*h**3 + 21*h**2 - 54*h.
3*h*(h - 2)*(h + 9)
Factor 2*j**3/5 + 84*j**2/5 - 176*j/5.
2*j*(j - 2)*(j + 44)/5
Factor -3*m**3 - 369*m**2 - 10368*m + 61440.
-3*(m - 5)*(m + 64)**2
Solve -3*f**5 - 99*f**4 + 336*f**3 + 432*f**2 = 0.
-36, -1, 0, 4
What is b in -4*b**5 - 180*b**4 - 1908*b**3 + 2468*b**2 + 4200*b = 0?
-25, -21, -1, 0, 2
Factor -k**2/4 - 3*k/2 + 4.
-(k - 2)*(k + 8)/4
Factor 5*w**2/6 - 55*w/6 - 65/3.
5*(w - 13)*(w + 2)/6
What is b in -5*b**4 + 180*b**3 + 570*b**2 + 580*b + 195 = 0?
-1, 39
Factor -5*r**2 + 840*r + 845.
-5*(r - 169)*(r + 1)
Let -2*f**5/3 + 578*f**4/9 - 628*f**3/3 + 748*f**2/3 - 1118*f/9 + 62/3 = 0. Calculate f.
1/3, 1, 93
Solve -5*l**4 + 40*l**3 - 60*l**2 = 0 for l.
0, 2, 6
Factor -2*u**3 + 3698*u**2 + 7402*u + 3702.
-2*(u - 1851)*(u + 1)**2
Solve -6*u**2 - 332*u - 110 = 0 for u.
-55, -1/3
Factor -4*g**3 - 52*g**2 - 64*g + 768.
-4*(g - 3)*(g + 8)**2
Factor -2*q**2/15 + 94*q/15 + 1276/15.
-2*(q - 58)*(q + 11)/15
Solve -4*c**2 + 17720*c - 19624900 = 0 for c.
2215
Suppose -c**5/9 - c**4/3 + 28*c**3/9 + 4*c**2 - 16*c = 0. What is c?
-6, -3, 0, 2, 4
Factor c**4/3 + 2*c**3 + 5*c**2/3.
c**2*(c + 1)*(c + 5)/3
Factor 2*k**4 + 88*k**3 + 168*k**2.
2*k**2*(k + 2)*(k + 42)
Factor 2*n**2/5 - 84*n/5.
2*n*(n - 42)/5
Factor 4*s**2 + 568*s + 20164.
4*(s + 71)**2
Factor q**2 - 225*q.
q*(q - 225)
Suppose 245*o**3 + 8750*o**2 - 2515*o + 180 = 0. What is o?
-36, 1/7
Find p such that -4*p**5 - 648*p**4/5 - 2796*p**3/5 + 4264*p**2/5 + 28032*p/5 + 10368/5 = 0.
-27, -4, -2/5, 3
Suppose -5*r**2 - 625*r - 1230 = 0. Calculate r.
-123, -2
Factor -3*f**4 - 156*f**3 + 837*f**2 - 1026*f.
-3*f*(f - 3)*(f - 2)*(f + 57)
Find h such that -8*h**4/3 + 44*h**3 - 56*h**2/3 - 44*h + 64/3 = 0.
-1, 1/2, 1, 16
Determine k, given that -7*k**4 - 67*k**3 - 145*k**2 + 75*k = 0.
-5, 0, 3/7
What is x in -x**5 - 50*x**4 - 671*x**3 - 1102*x**2 + 672*x + 1152 = 0?
-24, -2, -1, 1
Find a, given that 2*a**3 + 6*a**2/11 = 0.
-3/11, 0
Factor -3*d**2/2 + 30*d + 63/2.
-3*(d - 21)*(d + 1)/2
Factor 2*x**3 - 10*x**2 - 4*x + 48.
2*(x - 4)*(x - 3)*(x + 2)
Find v such that v**4/6 + 5*v**3/3 - v**2/2 - 14*v/3 + 10/3 = 0.
-10, -2, 1
What is x in x**3 - 15*x**2 - 22*x + 96 = 0?
-3, 2, 16
Factor 2*l**4/5 + 2*l**3 + 4*l**2/5 - 16*l/5.
2*l*(l - 1)*(l + 2)*(l + 4)/5
Factor 4*n**5/11 + 2*n**4 + 24*n**3/11 - 18*n**2/11.
2*n**2*(n + 3)**2*(2*n - 1)/11
Suppose 4*x**4 + 20*x**3 - 28*x**2 - 20*x + 24 = 0. What is x?
-6, -1, 1
Suppose -2*m**3/3 + 316*m**2/3 - 12482*m/3 = 0. What is m?
0, 79
Factor -2*g**3 + 2*g.
-2*g*(g - 1)*(g + 1)
Solve 9*l**3 - 66*l**2 + 75*l - 18 = 0 for l.
1/3, 1, 6
Factor 5*h**3 - 305*h**2.
5*h**2*(h - 61)
Factor 5*y**2 - 165*y + 810.
5*(y - 27)*(y - 6)
Factor k**2/4 + 43*k/4 - 297/2.
(k - 11)*(k + 54)/4
Find n, given that 5*n**5 + 20*n**4 - 80*n**2 - 80*n = 0.
-2, 0, 2
Factor -2*u**3.
-2*u**3
Factor -b**3/4 + 7*b**2 - 49*b.
-b*(b - 14)**2/4
What is c in 9*c**5 + 168*c**4/5 - 414*c**2/5 - 381*c/5 - 18 = 0?
-3, -1, -2/5, 5/3
Factor 2*w**3/9 - 28*w**2/9 - 64*w/9.
2*w*(w - 16)*(w + 2)/9
What is h in 2*h**4/9 + 200*h**3/3 + 7500*h**2 + 375000*h + 7031250 = 0?
-75
Solve -q**3 - 111*q**2 - 108*q + 220 = 0 for q.
-110, -2, 1
Suppose -m**3/4 - 3*m**2/4 + 4*m - 3 = 0. Calculate m.
-6, 1, 2
Determine y, given that 2*y**3 + 28*y**2 + 106*y + 80 = 0.
-8, -5, -1
Factor i**5 - 4*i**4 + 4*i**3 + 2*i**2 - 5*i + 2.
(i - 2)*(i - 1)**3*(i + 1)
What is a in -3*a**2 - 57*a - 102 = 0?
-17, -2
Factor 5*v**4 - 40*v**3 - 5*v**2 + 340*v - 420.
5*(v - 7)*(v - 2)**2*(v + 3)
Let 16*f**3/3 - 132*f**2 + 284*f/3 + 32 = 0. What is f?
-1/4, 1, 24
Factor -4*q**3 + 28*q + 24.
-4*(q - 3)*(q + 1)*(q + 2)
Factor 6*q**4/11 + 20*q**3/11 + 6*q**2/11.
2*q**2*(q + 3)*(3*q + 1)/11
Factor c**4/4 - 10*c**3 + 39*c**2/4.
c**2*(c - 39)*(c - 1)/4
Factor -5*n**2 - 15790*n - 12466205.
-5*(n + 1579)**2
Solve -5*n**2 + 10*n + 15 = 0 for n.
-1, 3
Determine m so that -20*m**5 + 67*m**4 + 70*m**3 - 59*m**2 - 50*m - 8 = 0.
-1, -2/5, -1/4, 1, 4
Find g such that -2*g**5 + 4*g**4/7 + 4*g**3 - 8*g**2/7 - 2*g + 4/7 = 0.
-1, 2/7, 1
Factor -5*m**2/6 + 15*m/2 - 20/3.
-5*(m - 8)*(m - 1)/6
Factor k**3 - 111*k**2 + 3135*k - 3025.
(k - 55)**2*(k - 1)
Factor 3*n**2 + 120*n + 693.
3*(n + 7)*(n + 33)
Let 5*r**2 - 1260*r + 79380 = 0. Calculate r.
126
Solve -k**5 - 10*k**4 - 21*k**3 + 4*k**2 + 28*k = 0 for k.
-7, -2, 0, 1
Factor 3*l**2 + 8601*l/4 - 2151/4.
3*(l + 717)*(4*l - 1)/4
Find x, given that -3*x**3/8 + 9*x**2/4 + 21*x/8 = 0.
-1, 0, 7
Factor -5*m**2/6 - 35*m/6 - 5.
-5*(m + 1)*(m + 6)/6
Factor -2*y**3 + 558*y**2 + 8*y - 2232.
-2*(y - 279)*(y - 2)*(y + 2)
Factor 2*m**4/5 - 24*m**3/5 - 122*m**2/5 - 96*m/5.
2*m*(m - 16)*(m + 1)*(m + 3)/5
Find x, given that x**2/11 + 4*x/11 - 12/11 = 0.
-6, 2
Let 3*h**4 - 180*h**3 + 2700*h**2 = 0. What is h?
0, 30
Determine i so that 3*i**5/5 - 178*i**4/5 + 78*i**3 + 104*i**2 - 393*i/5 - 342/5 = 0.
-1, -2/3, 1, 3, 57
Factor 3*r**3 - 36*r**2 - 3*r + 36.
3*(r - 12)*(r - 1)*(r + 1)
Determine n, given that 2*n**4/13 + 10*n**3/13 - 42*n**2/13 - 170*n/13 + 200/13 = 0.
-5, 1, 4
Factor j**4/3 + 6*j**3 + 16*j**2/3 - 6*j - 17/3.
(j - 1)*(j + 1)**2*(j + 17)/3
What is p in -5*p**4 - 60*p**3 - 85*p