+ 1)/5
Factor 675*b**2 - 2701*b/4 + 1/4.
(b - 1)*(2700*b - 1)/4
Factor -23*x**4/5 + 48*x**3/5 - 27*x**2/5 + 2*x/5.
-x*(x - 1)**2*(23*x - 2)/5
Factor -2*m**4/9 - 22*m**3/9 + 40*m**2/3.
-2*m**2*(m - 4)*(m + 15)/9
Factor -7*r**3 + 800*r**2 - 228*r.
-r*(r - 114)*(7*r - 2)
Let -t**3/10 - 9*t**2/10 = 0. Calculate t.
-9, 0
Factor w**2/5 + 3932*w/5 + 3865156/5.
(w + 1966)**2/5
Solve -r**3/3 + 10*r**2/3 + 1127*r/3 - 6348 = 0 for r.
-36, 23
Find r, given that -r**4/8 + 65*r**3/4 - 753*r**2/8 + 140*r - 62 = 0.
1, 4, 124
Determine m so that 4*m**3 - 304*m**2 - 4844*m - 17640 = 0.
-7, 90
Solve -b**3/8 + 3*b**2/8 - b/4 = 0 for b.
0, 1, 2
Solve -11*r**4 + 151*r**3/8 - 35*r**2/8 - 31*r/8 + 3/8 = 0.
-3/8, 1/11, 1
Suppose -v**3 + 47*v**2 - 540*v = 0. What is v?
0, 20, 27
Let 3*s**3 + 39*s**2 = 0. Calculate s.
-13, 0
Factor 3*o**3/2 + 171*o**2 + 339*o/2.
3*o*(o + 1)*(o + 113)/2
Factor 4*b**4 + 17*b**3 + 24*b**2 + 13*b + 2.
(b + 1)**2*(b + 2)*(4*b + 1)
Factor -2*g**4/3 + 2*g**3 - 8*g/3.
-2*g*(g - 2)**2*(g + 1)/3
Suppose 2*o**5/19 - 8*o**4/19 - 84*o**3/19 - 72*o**2/19 + 162*o/19 = 0. What is o?
-3, 0, 1, 9
Find l such that -15*l**2 - 1398*l - 279 = 0.
-93, -1/5
Find w such that 2*w**4/3 + 16*w**3/3 + 2*w**2 - 64*w/3 - 56/3 = 0.
-7, -2, -1, 2
Factor 51*s**4 + 96*s**3 - 12*s**2.
3*s**2*(s + 2)*(17*s - 2)
Factor -2*q**3/5 + 102*q**2/5 - 20*q.
-2*q*(q - 50)*(q - 1)/5
Suppose -c**5/5 + 9*c**4/5 - 22*c**3/5 + 32*c/5 = 0. Calculate c.
-1, 0, 2, 4
Factor -z**5 + 42*z**4 - 633*z**3 + 4204*z**2 - 12720*z + 14400.
-(z - 15)**2*(z - 4)**3
Suppose -3*b**2 + 33*b + 78 = 0. Calculate b.
-2, 13
Factor 2*d**2/5 - 182*d/5 + 36.
2*(d - 90)*(d - 1)/5
Let -2*a**4 + 42*a**3 - 294*a**2 + 686*a = 0. What is a?
0, 7
Factor 3*z**3 + 13428*z**2 + 20034576*z + 9963862464.
3*(z + 1492)**3
Let -2*q**4/3 - 26*q**3/3 - 112*q**2/3 - 160*q/3 = 0. Calculate q.
-5, -4, 0
Let -2*p**4/21 + 8*p**3/7 + 2*p**2/21 - 8*p/7 = 0. Calculate p.
-1, 0, 1, 12
Factor -5*z**2 - 85*z + 1350.
-5*(z - 10)*(z + 27)
Suppose a**5/7 - 3*a**4/7 - 9*a**3/7 + 31*a**2/7 - 36/7 = 0. What is a?
-3, -1, 2, 3
Factor -2*n**5/15 - 86*n**4/5 - 2816*n**3/5 - 8192*n**2/15.
-2*n**2*(n + 1)*(n + 64)**2/15
Factor 3*k**3 + 129*k**2 + 126*k.
3*k*(k + 1)*(k + 42)
Find q such that q**4/5 - 3*q**3/5 - 8*q**2/5 + 12*q/5 + 16/5 = 0.
-2, -1, 2, 4
What is v in 2*v**4/7 - 264*v**3/7 + 10716*v**2/7 - 176168*v/7 + 1028850/7 = 0?
19, 75
Find a, given that -20*a**5 + 205*a**4 - 50*a**3 = 0.
0, 1/4, 10
Let -d**3/2 - 15*d**2/2 - 59*d/2 - 45/2 = 0. Calculate d.
-9, -5, -1
Solve 2*i**2 - 200*i - 618 = 0.
-3, 103
Solve 30*x**5 + 805*x**4 + 595*x**3 - 1495*x**2 - 1705*x - 390 = 0.
-26, -1, -1/3, 3/2
Solve 4*b**5 - 36*b**4 + 76*b**3 + 36*b**2 - 80*b = 0 for b.
-1, 0, 1, 4, 5
Let -2*u**2/9 + 7648*u/9 = 0. What is u?
0, 3824
Factor 2*h**2/5 + 46*h/5 - 2116/5.
2*(h - 23)*(h + 46)/5
Factor -2*f**5/3 + 70*f**4/3 - 68*f**3/3.
-2*f**3*(f - 34)*(f - 1)/3
Find v, given that -v**5/4 + 9*v**4/4 - 5*v**3 + 3*v**2 = 0.
0, 1, 2, 6
Find c such that -2*c**3 + 5062*c**2 - 3205510*c + 3200450 = 0.
1, 1265
Let 2*s**4/11 + 8*s**3/11 - 26*s**2/11 - 80*s/11 + 96/11 = 0. Calculate s.
-4, 1, 3
Factor -4*f**2 - 240*f + 244.
-4*(f - 1)*(f + 61)
Factor 2*f**3/5 - 2*f**2 - 16*f/5 + 96/5.
2*(f - 4)**2*(f + 3)/5
What is n in 2*n**2 + 160*n + 2552 = 0?
-58, -22
Factor -3*q**3 + 18*q**2 - 27*q + 12.
-3*(q - 4)*(q - 1)**2
Suppose -s**5/6 - 5*s**4/6 - s**3/3 + 4*s**2/3 = 0. What is s?
-4, -2, 0, 1
Factor -o**3/3 - 8*o**2 + o/3 + 8.
-(o - 1)*(o + 1)*(o + 24)/3
Factor -2*f**3 + 10*f**2 - 12*f.
-2*f*(f - 3)*(f - 2)
Let 22*b**4/3 + 40*b**3/3 + 14*b**2/3 - 4*b/3 = 0. Calculate b.
-1, 0, 2/11
Factor 75*b**3 + 90*b**2 - 108*b + 24.
3*(b + 2)*(5*b - 2)**2
Find g such that 28*g**5 + 8*g**4 - 896*g**3 - 256*g**2 + 7168*g + 2048 = 0.
-4, -2/7, 4
Factor -605*m**3 - 24475*m**2 + 13485*m - 1845.
-5*(m + 41)*(11*m - 3)**2
Solve -12*m**5 + 37*m**4 - 17*m**3 - 31*m**2 + 29*m - 6 = 0 for m.
-1, 1/3, 3/4, 1, 2
Solve 2*t**5/7 + 242*t**4/7 - 70*t**3 + 246*t**2/7 = 0 for t.
-123, 0, 1
Determine g so that 2*g**2/9 + 8*g/9 - 8/3 = 0.
-6, 2
Let -y**5/4 + 2*y**4 - 2*y**3 - 13*y**2/2 + 9*y/4 + 9/2 = 0. Calculate y.
-1, 1, 3, 6
Factor -2*l**2/13 + 66*l/13 - 124/13.
-2*(l - 31)*(l - 2)/13
Find z such that 4*z**2 - 128*z + 1024 = 0.
16
Factor 2*g**3/7 - 36*g**2/7 - 8*g/7 + 144/7.
2*(g - 18)*(g - 2)*(g + 2)/7
Find o, given that -2*o**4 - 12*o**3 - 16*o**2 = 0.
-4, -2, 0
Factor -21*g**3 + 3648*g**2 + 8436*g + 2112.
-3*(g - 176)*(g + 2)*(7*g + 2)
Find n such that -3362*n**2/9 - 328*n/3 - 8 = 0.
-6/41
What is s in 5*s**5 + 30*s**4 + 35*s**3 - 30*s**2 - 40*s = 0?
-4, -2, -1, 0, 1
Factor -5*v**3/4 - 95*v**2/4 + 205*v/4 - 105/4.
-5*(v - 1)**2*(v + 21)/4
What is u in u**4/5 + 11*u**3/5 + 4*u**2 - 32*u/5 = 0?
-8, -4, 0, 1
Let g**5/10 - 7*g**4/10 + 19*g**3/10 - 5*g**2/2 + 8*g/5 - 2/5 = 0. Calculate g.
1, 2
Determine r, given that 2*r**3/21 - 32*r**2/21 + 104*r/21 - 32/7 = 0.
2, 12
Solve -4*v**3/5 - 8*v**2/5 + 76*v/5 + 16 = 0 for v.
-5, -1, 4
Suppose 6*o**3/5 - 57*o**2/5 + 24*o/5 + 27/5 = 0. Calculate o.
-1/2, 1, 9
Let -2*c**2 - 1822*c + 1824 = 0. What is c?
-912, 1
What is d in 52*d**2/11 + 258*d/11 - 10/11 = 0?
-5, 1/26
What is x in 2*x**4 - 26*x**3 + 86*x**2 - 30*x - 144 = 0?
-1, 3, 8
Find w, given that w**5/3 + 2*w**4/3 - 7*w**3/3 + 4*w**2/3 = 0.
-4, 0, 1
Let 3*l**3/5 - 441*l/5 + 858/5 = 0. Calculate l.
-13, 2, 11
Suppose 4*i**3 - 248*i**2 - 524*i + 768 = 0. Calculate i.
-3, 1, 64
Let -14*l**5/9 + 20*l**4/3 - 58*l**3/9 + 4*l**2/3 = 0. What is l?
0, 2/7, 1, 3
Find g, given that 8*g**2 - 4476*g + 2236 = 0.
1/2, 559
Solve -4*b**4 - 16*b**3 + 112*b**2 - 128*b = 0 for b.
-8, 0, 2
Let 2*v**4 - 680*v**3 + 57798*v**2 + 680*v - 57800 = 0. Calculate v.
-1, 1, 170
Let 3*n**2/4 + 165*n/2 = 0. What is n?
-110, 0
Determine m, given that m**4/4 + 55*m**3/4 - 1067*m**2/4 + 4809*m/4 - 3195/2 = 0.
-71, 3, 10
Factor 2*a**3/3 + 50*a**2 - 52*a - 304/3.
2*(a - 2)*(a + 1)*(a + 76)/3
Solve 2*m**2 + 676*m + 57122 = 0 for m.
-169
Factor -3*y**2/7 - 18*y/7 + 435.
-3*(y - 29)*(y + 35)/7
Suppose n**2 - 42*n - 88 = 0. Calculate n.
-2, 44
Factor -14*r**3 + 15228*r**2 - 4138752*r - 1183744.
-2*(r - 544)**2*(7*r + 2)
Factor -8*h**3 + 82*h**2 - 20*h.
-2*h*(h - 10)*(4*h - 1)
Factor 3*y**2 + 180*y + 825.
3*(y + 5)*(y + 55)
Determine j so that j**2 + 70*j + 1225 = 0.
-35
Let -58*k**5/9 - 76*k**4/3 + 190*k**3/9 + 344*k**2/3 - 8*k = 0. Calculate k.
-3, 0, 2/29, 2
Find d such that 12*d**3/7 + 3*d**2 - 6*d/7 = 0.
-2, 0, 1/4
Let -4*u**2/9 - 6224*u/9 + 692 = 0. What is u?
-1557, 1
Factor 609*r**2 + 132*r - 12.
3*(7*r + 2)*(29*r - 2)
Suppose 2*r**4/11 - 2*r**3 + 48*r**2/11 + 8*r/11 - 64/11 = 0. Calculate r.
-1, 2, 8
Determine y so that -2*y**5 + 8*y**4 + 14*y**3 - 20*y**2 = 0.
-2, 0, 1, 5
Find u such that -2*u**3/5 + 4*u**2 + 182*u/5 + 32 = 0.
-5, -1, 16
Suppose o**5/7 + 4*o**4/7 - 15*o**3/7 - 10*o**2/7 + 44*o/7 - 24/7 = 0. Calculate o.
-6, -2, 1, 2
Factor -l**2/3 - l + 28/3.
-(l - 4)*(l + 7)/3
Solve -2*w**2/15 + 26*w/15 + 28/15 = 0 for w.
-1, 14
Suppose 5*t**5 - 15*t**4 - 80*t**3 - 60*t**2 = 0. Calculate t.
-2, -1, 0, 6
Determine d so that 4*d**5 + 36*d**4 - 236*d**3 - 324*d**2 + 520*d = 0.
-13, -2, 0, 1, 5
Let -b**2/4 + 2*b - 3 = 0. What is b?
2, 6
Factor -3*w**4 - 9*w**3 + 3*w**2 + 9*w.
-3*w*(w - 1)*(w + 1)*(w + 3)
Let -5*r**4 + 2120*r**3 - 224715*r**2 - 2120*r + 224720 = 0. Calculate r.
-1, 1, 212
Solve -2*p**4/25 - 32*p**3/25 - 96*p**2/25 = 0.
-12, -4, 0
Factor 3*j**3/5 + 2229*j**2/5 + 6666*j/5 + 888.
3*(j + 1)*(j + 2)*(j + 740)/5
Let 93*u**5/4 - 149*u**4/4 - 18*u**3 - u**2 = 0. Calculate u.
-1/3, -2/31, 0, 2
Factor 4*f**2 - 436*f + 856.
4*(f - 107)*(f - 2)
Factor -2*j**3/15 + 74*j**2/15 - 646*j/15 - 722/15.
-2*(j - 19)**2*(j + 1)/15
Factor 100*x**3 + 440*x**2 + 484*x.
4*x*(5*x + 11)**2
Suppose n**2/4 - 11*n - 23 = 0. What is n?
-2, 46
Factor 2*p**4/9 + 4*p**3/9 - 16*p**2/3.
2*p**2*(p - 4)*(p + 6)/9
Find z, given that z**5 - 9*z**4 - 135*z**3/4 + 783*z**2/2 + 243*z - 4374 = 0.
-9/2, 6
Factor f**2 + 231*f - 232.
(f - 1)*(f + 232)
Factor 4*s**2/3 - 2044*s/3 - 2048/3.
4*(s - 512)*(s + 1)/3
Solve -2*i**4/5 - 4*i**3 + 24*i**2/5 + 4*i - 22/5 = 0.
-11, -1, 1
Determine a so that a**4 - 10*a**3 + 37*a**2 - 60*a + 36 = 0.
2, 3
Let -2*o**4 + 24*o**3/5 + 72*o**2/5 - 32*o/