236/3.
-(g - 1)*(g + 118)*(5*g - 2)/3
Solve -3*h**2/2 - 12*h + 27/2 = 0.
-9, 1
Factor 3*i**3/8 - 747*i**2/8 - 3*i/8 + 747/8.
3*(i - 249)*(i - 1)*(i + 1)/8
Factor -5*n**4/4 + 65*n**3/2 - 115*n**2 + 110*n.
-5*n*(n - 22)*(n - 2)**2/4
Let 4*s**5 - 10*s**4 - 4*s**3 + 10*s**2 = 0. Calculate s.
-1, 0, 1, 5/2
Find r, given that r**4/2 - r**3/3 - 31*r**2/6 - 17*r/3 - 4/3 = 0.
-2, -1, -1/3, 4
Find j, given that -2*j**3/7 + 82*j**2/7 + 352*j/7 + 360/7 = 0.
-2, 45
Let -498436*p**2 - 2824*p - 4 = 0. Calculate p.
-1/353
Determine k, given that -2*k**2/5 - 588*k/5 - 43218/5 = 0.
-147
Let -841*o**5/9 - 319*o**4/3 + 3244*o**3/9 + 3824*o**2/9 + 160*o/3 + 16/9 = 0. What is o?
-2, -1, -2/29, 2
Determine a, given that -3*a**4/2 + a**3/2 + 16*a**2 + 22*a + 8 = 0.
-2, -1, -2/3, 4
Find n, given that -2*n**3/7 - 78*n**2/7 + 162*n/7 - 82/7 = 0.
-41, 1
Factor 2*z**2 + 284*z + 10082.
2*(z + 71)**2
Factor 24*c**2 + 356*c - 60.
4*(c + 15)*(6*c - 1)
Find w such that w**2/3 - 1424*w/3 + 506944/3 = 0.
712
Factor -b**2/2 + 231*b - 1377/2.
-(b - 459)*(b - 3)/2
Determine c, given that 60*c**3 - 8*c**2 - 960*c + 128 = 0.
-4, 2/15, 4
Suppose 3*g**2/5 - 132*g/5 + 1452/5 = 0. Calculate g.
22
Let -2*f**5 - 22*f**4 + 106*f**3 + 1422*f**2 + 1296*f = 0. Calculate f.
-9, -1, 0, 8
Factor -6*w**3 - 50*w**2 - 16*w.
-2*w*(w + 8)*(3*w + 1)
Factor 7*o**2 - 1220*o + 348.
(o - 174)*(7*o - 2)
Suppose -u**3 - u**2 + 6*u = 0. Calculate u.
-3, 0, 2
Let 2*o**5 + 36*o**4 - 80*o**3 + 4*o**2 + 78*o - 40 = 0. What is o?
-20, -1, 1
Solve 32*n**5 - 644*n**4 + 2543*n**3 + 7456*n**2 - 1045*n - 242 = 0.
-2, -1/8, 1/4, 11
Factor 4*u**3 - 67*u**2 + 103*u + 30.
(u - 15)*(u - 2)*(4*u + 1)
Suppose 3*b**2 - 474*b + 18723 = 0. Calculate b.
79
Determine r so that -4*r**2 - 76*r - 72 = 0.
-18, -1
Factor 5*m**4 + 5*m**3 - 15*m**2 - 5*m + 10.
5*(m - 1)**2*(m + 1)*(m + 2)
Factor 2*s**4/9 - 64*s**3/9 - 32*s**2.
2*s**2*(s - 36)*(s + 4)/9
Factor -y**3/5 + 98*y**2/5 - 189*y/5 - 288/5.
-(y - 96)*(y - 3)*(y + 1)/5
Find j such that 16*j**2 + 34*j + 4 = 0.
-2, -1/8
Factor -o**4/7 + 44*o**3 - 31518*o**2/7 + 1060900*o/7 + 1092727/7.
-(o - 103)**3*(o + 1)/7
Find c, given that -4*c**5 - 28*c**4 - 60*c**3 - 20*c**2 + 64*c + 48 = 0.
-3, -2, -1, 1
Suppose -2*h**5/9 + 2*h**4 - 52*h**3/9 + 16*h**2/3 = 0. Calculate h.
0, 2, 3, 4
Factor -5*v**2 + 645*v + 650.
-5*(v - 130)*(v + 1)
Suppose q**4 + 6*q**3 + 9*q**2 - 4*q - 12 = 0. Calculate q.
-3, -2, 1
Factor 3*m**4 + 24*m**3 - 1710*m**2 + 12936*m - 11253.
3*(m - 11)**2*(m - 1)*(m + 31)
Suppose -u**2/5 + 39*u/5 - 38/5 = 0. What is u?
1, 38
Factor 2*o**4 + 33*o**3 - 137*o**2 + 60*o.
o*(o - 3)*(o + 20)*(2*o - 1)
Factor -m**3/2 + 36*m**2 - 71*m/2.
-m*(m - 71)*(m - 1)/2
What is w in -w**5 - 25*w**4 - 90*w**3 - 130*w**2 - 85*w - 21 = 0?
-21, -1
Factor 8*f**5 + 30*f**4 + 42*f**3 + 26*f**2 + 6*f.
2*f*(f + 1)**3*(4*f + 3)
Let 3*n**3/5 + 603*n**2/5 + 40401*n/5 + 902289/5 = 0. What is n?
-67
Determine o so that 267*o**4 + 558*o**3 + 315*o**2 + 24*o = 0.
-1, -8/89, 0
Factor -2*s**2/21 + 4432*s/7 - 7365984/7.
-2*(s - 3324)**2/21
Factor 3*m**2/8 + 627*m/4 + 131043/8.
3*(m + 209)**2/8
Solve -95*h**2 + 10460*h - 1100 = 0 for h.
2/19, 110
Factor 15*w**4 + 175*w**3 + 395*w**2 + 325*w + 90.
5*(w + 1)**2*(w + 9)*(3*w + 2)
Factor -b**5 + 8*b**4 - 9*b**3 - 22*b**2 + 20*b + 24.
-(b - 6)*(b - 2)**2*(b + 1)**2
Factor -a**4/7 - 10*a**3/7 + a**2/7 + 10*a/7.
-a*(a - 1)*(a + 1)*(a + 10)/7
Solve -2*s**4/5 + 14*s**2/5 - 12*s/5 = 0 for s.
-3, 0, 1, 2
Solve -r**2 - 17*r - 30 = 0.
-15, -2
Factor 5*x**5 - 20*x**4 - 25*x**3.
5*x**3*(x - 5)*(x + 1)
Factor n**2/2 + 1760*n + 1548800.
(n + 1760)**2/2
Find h, given that 3*h**5 + 12*h**4 - 15*h**3 - 60*h**2 + 12*h + 48 = 0.
-4, -2, -1, 1, 2
Solve -5*d**2 + 75*d - 70 = 0.
1, 14
Let -2*z**5/17 + 134*z**4/17 - 2036*z**3/17 - 6932*z**2/17 - 7210*z/17 - 2450/17 = 0. Calculate z.
-1, 35
Factor 5*n**2/2 + 665*n/2.
5*n*(n + 133)/2
Factor 5*o**2 - 290*o - 600.
5*(o - 60)*(o + 2)
Factor -3*y**3 + 144*y**2 - 1536*y.
-3*y*(y - 32)*(y - 16)
Factor -4*o**2 + 20*o.
-4*o*(o - 5)
Factor 3*l**4 - 150*l**3 + 633*l**2 + 1890*l.
3*l*(l - 45)*(l - 7)*(l + 2)
Suppose 4*z**3 - 16596*z**2 + 22952268*z - 10580995548 = 0. Calculate z.
1383
Factor -2*v**2 + 10*v.
-2*v*(v - 5)
Suppose 3*j**2 + 11724*j + 11454348 = 0. Calculate j.
-1954
Let -2398050*d**4 + 7189770*d**3 + 13138*d**2 + 6*d = 0. Calculate d.
-1/1095, 0, 3
Factor 2*h**2 + 860*h + 92450.
2*(h + 215)**2
Factor 5*g**3 + 290*g**2 + 2940*g + 8280.
5*(g + 6)**2*(g + 46)
Solve 4*c**5 + 60*c**4 + 56*c**3 = 0 for c.
-14, -1, 0
Factor 7*p**4 + 744*p**3 + 1675*p**2 + 1146*p + 208.
(p + 1)**2*(p + 104)*(7*p + 2)
Let -4*h**5 - 92*h**4 - 676*h**3 - 1956*h**2 - 2232*h - 864 = 0. What is h?
-12, -6, -3, -1
Determine n so that -2*n**2/7 - 4*n = 0.
-14, 0
Solve -x**5/5 - 3*x**4 - 63*x**3/5 - 49*x**2/5 = 0.
-7, -1, 0
Factor 5*n**3/2 - 45*n**2/2 + 135*n/2 - 135/2.
5*(n - 3)**3/2
Solve -15*n**4 + 235*n**3 - 1260*n**2 + 2640*n - 1600 = 0 for n.
1, 4, 20/3
Factor 2*t**2/17 + 438*t/17 + 436/17.
2*(t + 1)*(t + 218)/17
Factor v**4 - 16*v**3 - 39*v**2 + 54*v.
v*(v - 18)*(v - 1)*(v + 3)
Find h, given that -h**5/7 - 26*h**4/7 - 125*h**3/7 + 332*h**2/7 - 180*h/7 = 0.
-18, -10, 0, 1
Factor -2*h**3/7 + 9720*h**2/7 - 15746400*h/7 + 8503056000/7.
-2*(h - 1620)**3/7
Let -3*v**2/7 - 762*v/7 - 759/7 = 0. What is v?
-253, -1
Solve -d**4/5 - 24*d**3 + 122*d**2/5 + 24*d - 121/5 = 0 for d.
-121, -1, 1
Factor -l**2/9 + 2*l/9 - 1/9.
-(l - 1)**2/9
Factor 2*q**5 - 16*q**4 + 30*q**3 + 8*q**2 - 40*q.
2*q*(q - 5)*(q - 2)**2*(q + 1)
Factor -2*u**5/7 + 18*u**4 - 246*u**3/7 + 122*u**2/7.
-2*u**2*(u - 61)*(u - 1)**2/7
Find c, given that -5*c**3 + 25*c**2 + 360*c + 720 = 0.
-4, -3, 12
Find a such that -4*a**3 + 624*a**2 + 636*a - 1256 = 0.
-2, 1, 157
Let g**3 - 33*g**2 - 73*g + 105 = 0. What is g?
-3, 1, 35
Find t such that 3*t**3 + 2313*t**2 + 444672*t - 446988 = 0.
-386, 1
What is m in -4*m**5 + 32*m**4 + 76*m**3 + 40*m**2 = 0?
-1, 0, 10
Suppose -4*s**4/9 - 160*s**3/3 - 1652*s**2 - 27848*s/9 = 0. Calculate s.
-59, -2, 0
Solve 2*w**3/9 + 100*w**2/9 + 550*w/3 + 1000 = 0 for w.
-20, -15
Factor 5*u**3/3 - 60*u**2 - 515*u + 1720/3.
5*(u - 43)*(u - 1)*(u + 8)/3
Suppose -2*i**2 - 22*i/5 - 4/5 = 0. What is i?
-2, -1/5
Let 5*j**2 - 120*j = 0. Calculate j.
0, 24
Find b, given that -2*b**4/13 - 12*b**3/13 + 6*b**2/13 + 32*b/13 - 24/13 = 0.
-6, -2, 1
Let 2*m**3/9 - 8*m**2/3 - 6*m - 28/9 = 0. Calculate m.
-1, 14
What is s in -2*s**4/9 + 22*s**3/9 - 20*s**2/9 = 0?
0, 1, 10
What is b in 48*b**5/5 - 481*b**4/5 + 634*b**3/5 + 2867*b**2/5 + 1668*b/5 - 36/5 = 0?
-1, 1/48, 6
Suppose 3*f**3 - 24*f**2 - 183*f - 156 = 0. What is f?
-4, -1, 13
Solve -4*v**2 + 252*v - 1160 = 0 for v.
5, 58
Factor -2*f**3/9 + 190*f**2/9 - 736*f/9 + 728/9.
-2*(f - 91)*(f - 2)**2/9
Factor 3*j**3 + 195*j**2 + 564*j + 372.
3*(j + 1)*(j + 2)*(j + 62)
Find i, given that 4*i**5 - 32*i**4 + 56*i**3 + 80*i**2 - 156*i - 144 = 0.
-1, 3, 4
Find f, given that 5*f**4 - 30*f**3 + 5*f**2 + 120*f - 100 = 0.
-2, 1, 2, 5
Solve -4*h**4 + 192*h**3 + 1248*h**2 + 2560*h + 1728 = 0.
-2, 54
Factor 2*m**4 - 26*m**3 + 72*m**2.
2*m**2*(m - 9)*(m - 4)
What is i in 6*i**5/7 + 26*i**4 + 1404*i**3/7 + 268*i**2/7 - 1410*i/7 - 450/7 = 0?
-15, -1, -1/3, 1
Factor -3*r**2/2 + 51*r.
-3*r*(r - 34)/2
Find k, given that 14*k**4 + 172*k**3 + 34*k**2 - 172*k - 48 = 0.
-12, -1, -2/7, 1
Suppose -4*h**3 + 40*h**2 - 100*h = 0. What is h?
0, 5
Factor -2*h**3 - 8*h**2/3 + 26*h/3 + 28/3.
-2*(h - 2)*(h + 1)*(3*h + 7)/3
Factor -n**3 - 960*n**2 - 229437*n + 462722.
-(n - 2)*(n + 481)**2
Determine x, given that -x**2/2 + 2*x = 0.
0, 4
Factor 3*l**5 - 57*l**4 + 369*l**3 - 999*l**2 + 972*l.
3*l*(l - 9)*(l - 4)*(l - 3)**2
Determine s so that s**2 - 31*s - 572 = 0.
-13, 44
Determine i so that -5*i**2 + 430*i - 425 = 0.
1, 85
What is j in 2*j**3/7 - 4*j**2/7 + 2*j/7 = 0?
0, 1
Factor 3*r**3/4 - 3*r/4.
3*r*(r - 1)*(r + 1)/4
Factor 3*d**3 - 12*d**2 - 15*d.
3*d*(d - 5)*(d + 1)
Find z, given that -z**3/9 - 13*z**2/9 + 11*z/3 + 5 = 0.
-15, -1, 3
What is t in t**5/8 + 43*t**4/8 - 35*t**3/2 - 10*t**2 + 68*t - 46 = 0?
-46, -2, 1, 2
Solve r**2/3 - 116*r + 10092 = 0.
174
Suppose 2*r**3 + 706*r**2/13 + 784*r/13 + 8 = 0. What is r?
-26, -1, -2/13
Factor s**3/3 + 10*s**2.
s**2*(s + 30)/3
Factor -i**3/8 - i**2