**4
Factor -j**2 + 29*j - 100.
-(j - 25)*(j - 4)
Factor -3*a**5 - 3*a**4 + 18*a**3 - 6*a**2 - 15*a + 9.
-3*(a - 1)**3*(a + 1)*(a + 3)
Factor 5*q**2 + 110*q - 375.
5*(q - 3)*(q + 25)
Factor -p**3/4 + 5*p**2/4 - p.
-p*(p - 4)*(p - 1)/4
Determine f so that -2*f**2/9 + 694*f/9 + 312 = 0.
-4, 351
Factor -2*o**3 - 5540*o**2 + 5542*o.
-2*o*(o - 1)*(o + 2771)
Suppose 4*r**5/5 - 32*r**4/5 - 36*r**3/5 = 0. Calculate r.
-1, 0, 9
Solve 2*j**5 - 62*j**4 + 374*j**3 + 1734*j**2 = 0 for j.
-3, 0, 17
Determine a, given that -35*a**5 - 60*a**4 + 55*a**3 + 60*a**2 - 20*a = 0.
-2, -1, 0, 2/7, 1
Let 28*a**5/5 + 127*a**4/5 + 34*a**3/5 - 119*a**2/5 - 62*a/5 - 8/5 = 0. Calculate a.
-4, -1, -2/7, -1/4, 1
Factor -v**5 + 16*v**4 - 85*v**3 + 150*v**2.
-v**2*(v - 6)*(v - 5)**2
Factor s**4/2 - 15*s**3/2 + 79*s**2/2 - 165*s/2 + 50.
(s - 5)**2*(s - 4)*(s - 1)/2
Determine u so that -u**2/5 + 44*u/5 + 141/5 = 0.
-3, 47
Factor -177*k**3 + 186*k**2 - 9*k.
-3*k*(k - 1)*(59*k - 3)
Determine s so that 2*s**2/11 - 8*s + 168/11 = 0.
2, 42
Suppose -3*o**4/2 - 405*o**3/4 + 477*o**2 - 645*o + 216 = 0. Calculate o.
-72, 1/2, 2
Let 2*s**2/15 - 104*s/5 + 1216/15 = 0. What is s?
4, 152
Solve -159*n**2 + 630*n + 24 = 0 for n.
-2/53, 4
Suppose 10*o**2/9 - 2*o + 8/9 = 0. Calculate o.
4/5, 1
What is z in 2*z**3 - 20*z**2 + 66*z - 72 = 0?
3, 4
Determine s so that 5*s**4/2 - 4949*s**3 + 4886625*s**2/2 + 5888522*s + 1964162 = 0.
-2, -2/5, 991
Factor -2*v**4/15 + 2*v**3/15 + 6*v**2/5 + 22*v/15 + 8/15.
-2*(v - 4)*(v + 1)**3/15
Find z, given that z**4 + 2*z**3 - 4*z**2 - 2*z + 3 = 0.
-3, -1, 1
Solve 218*w**5 + 1096*w**4 + 1774*w**3 + 920*w**2 + 24*w = 0 for w.
-2, -1, -3/109, 0
Determine c so that -2*c**5 - 16*c**4 - 4*c**3 + 64*c**2 - 42*c = 0.
-7, -3, 0, 1
Determine f, given that -4*f**2 - 38240*f - 91393600 = 0.
-4780
Factor 4*a**4 - 24*a**3 - 28*a**2.
4*a**2*(a - 7)*(a + 1)
Suppose -3*v**3/2 + 12*v**2 + 6*v - 48 = 0. What is v?
-2, 2, 8
Determine x so that -3*x**3/4 + 381*x**2/2 - 48387*x/4 = 0.
0, 127
Factor h**3/6 + 4*h**2/3 + 5*h/2.
h*(h + 3)*(h + 5)/6
Factor 4*d**3 - 612*d**2 + 4128*d - 5840.
4*(d - 146)*(d - 5)*(d - 2)
Solve 3*q**2 - 354*q + 351 = 0 for q.
1, 117
Factor -2*r**5 - 30*r**4 + 152*r**3 - 32*r**2 - 576*r + 608.
-2*(r - 2)**3*(r + 2)*(r + 19)
Find u, given that -76*u**4 - 236*u**3 - 176*u**2 - 16*u = 0.
-2, -1, -2/19, 0
Factor 3*m**2 - 291*m + 288.
3*(m - 96)*(m - 1)
Solve 4*c**2 - 1244*c + 2472 = 0.
2, 309
Factor 5*o**3 - 15*o**2 + 20.
5*(o - 2)**2*(o + 1)
Suppose -98*z**5 - 308*z**4 - 354*z**3 - 176*z**2 - 32*z = 0. What is z?
-1, -4/7, 0
Solve 106*s**2/11 + 42*s/11 = 0 for s.
-21/53, 0
Find p, given that 4*p**2 - 484*p - 488 = 0.
-1, 122
Solve -4*c**4 - 4*c**3 + 36*c**2 - 44*c + 16 = 0 for c.
-4, 1
Suppose 3*s**2/8 + 9*s/8 - 21/2 = 0. Calculate s.
-7, 4
Let x**2/2 + 146*x + 291/2 = 0. What is x?
-291, -1
Factor -x**3/6 + 115*x**2/3 - 454*x/3 + 452/3.
-(x - 226)*(x - 2)**2/6
Factor 3*n**3 - 117*n**2 + 648*n + 768.
3*(n - 32)*(n - 8)*(n + 1)
Let f**3 - 82*f**2 - 253*f - 170 = 0. What is f?
-2, -1, 85
Suppose -4*s**5/9 + 76*s**4/9 - 332*s**3/9 + 260*s**2/9 = 0. Calculate s.
0, 1, 5, 13
Solve 45*r**3 - 966*r**2 + 1797*r - 876 = 0 for r.
1, 292/15
Factor -2*d**4 - 2372*d**3.
-2*d**3*(d + 1186)
What is s in -4*s**3 + 984*s**2 - 60516*s = 0?
0, 123
Factor 3*h**3 + 51*h**2 + 198*h + 216.
3*(h + 2)*(h + 3)*(h + 12)
Find q such that 4*q**5 - 48*q**4 + 152*q**3 - 208*q**2 + 132*q - 32 = 0.
1, 8
Let -10*q**4 - 2*q**3 + 730*q**2 + 866*q + 144 = 0. What is q?
-8, -1, -1/5, 9
Factor -3*a**5 + 66*a**4 - 54*a**3 - 204*a**2 + 321*a - 126.
-3*(a - 21)*(a - 1)**3*(a + 2)
Solve -11*a**3/3 - 98*a**2/3 - 79*a/3 + 8/3 = 0.
-8, -1, 1/11
Factor -g**4/5 + 59*g**3/5 + 12*g**2.
-g**2*(g - 60)*(g + 1)/5
Factor -u**3 - 11*u**2 - 10*u.
-u*(u + 1)*(u + 10)
Suppose 3*z**5 - 21*z**3 + 18*z**2 = 0. What is z?
-3, 0, 1, 2
Solve 25*s**5/3 - 95*s**4/3 + 38*s**3 - 52*s**2/3 + 8*s/3 = 0.
0, 2/5, 1, 2
Factor -i**3/2 + 7*i**2/2 + 137*i - 140.
-(i - 20)*(i - 1)*(i + 14)/2
Solve 12*v**3 - 28*v**2 - 72*v - 32 = 0 for v.
-1, -2/3, 4
Determine d so that -2*d**3 + 2*d**2 + 4*d = 0.
-1, 0, 2
Let 2*k**3 - 96*k**2 + 1242*k - 2116 = 0. What is k?
2, 23
Factor -5*p**2 - 4270*p - 911645.
-5*(p + 427)**2
Factor 2187*h**3 + 4698*h**2 + 660*h + 24.
3*(h + 2)*(27*h + 2)**2
Factor v**3/2 - 24*v**2 - 49*v/2.
v*(v - 49)*(v + 1)/2
Suppose 2*j**4/9 - 10*j**3/9 + 10*j**2/9 + 10*j/9 - 4/3 = 0. What is j?
-1, 1, 2, 3
Suppose g**4 + 10*g**3 + 29*g**2 + 8*g - 48 = 0. Calculate g.
-4, -3, 1
Factor 3*m**2 - 276*m - 1455.
3*(m - 97)*(m + 5)
Determine a so that a**3/10 + 17*a**2/10 - 9*a/5 = 0.
-18, 0, 1
What is i in -5*i**5 - 50*i**4 - 145*i**3 - 160*i**2 - 60*i = 0?
-6, -2, -1, 0
Determine h so that 5*h**2/3 + 80*h/3 + 140/3 = 0.
-14, -2
Factor 5*j**4 - 30*j**3 + 5*j**2 + 120*j + 80.
5*(j - 4)**2*(j + 1)**2
Solve -3*g**4/2 - 27*g**3/2 - 45*g**2/2 + 75*g/2 = 0 for g.
-5, 0, 1
Suppose -4*l**3 + 16*l**2 + 412*l + 728 = 0. What is l?
-7, -2, 13
Factor -i**3 + 125*i**2/3 - 202*i/3 + 80/3.
-(i - 40)*(i - 1)*(3*i - 2)/3
Determine o, given that 5*o**4 - 845*o**3 + 47025*o**2 - 828495*o - 1851930 = 0.
-2, 57
Solve 2*v**2/9 - 1910*v/9 + 3812/9 = 0 for v.
2, 953
Factor -2*m**2/5 - 798*m/5 - 796/5.
-2*(m + 1)*(m + 398)/5
Factor 18*k**5/7 - 158*k**4/7 - 36*k**3/7.
2*k**3*(k - 9)*(9*k + 2)/7
Determine d so that d**2/5 - 87*d/5 + 332/5 = 0.
4, 83
Solve 2*t**2/5 - 22*t/5 + 4 = 0.
1, 10
Determine j so that 4*j**3 + 17920*j**2/3 + 1988*j - 11944/3 = 0.
-1493, -1, 2/3
Solve 707*b**3 - 2830*b**2 + 2836*b - 8 = 0 for b.
2/707, 2
Factor -54*m**3 - 1080*m**2 - 7200*m - 16000.
-2*(3*m + 20)**3
Let 2*h**2 - 26*h + 84 = 0. What is h?
6, 7
Factor -5*z**3 - 60*z**2.
-5*z**2*(z + 12)
Let -36*h**3 + 680*h**2 + 76*h = 0. What is h?
-1/9, 0, 19
Factor -2*d**2/11 - 1434*d/11 + 1436/11.
-2*(d - 1)*(d + 718)/11
Factor -f**2/2 - 97*f/6 - 91/3.
-(f + 2)*(3*f + 91)/6
Find f such that -f**4 + 4*f**3 - 6*f**2 + 4*f - 1 = 0.
1
Factor 3*h**2/4 - 789*h/4 + 783/2.
3*(h - 261)*(h - 2)/4
Factor -4*z**3 + 12*z**2 + 4*z - 12.
-4*(z - 3)*(z - 1)*(z + 1)
Factor 12*a**4 - 141*a**3/2 + 135*a**2 - 78*a - 12.
3*(a - 2)**3*(8*a + 1)/2
Determine a, given that 5*a**5 + 155*a**4 + 425*a**3 + 125*a**2 - 430*a - 280 = 0.
-28, -2, -1, 1
Factor 5*z**5 - 5*z**4 - 15*z**3 + 5*z**2 + 10*z.
5*z*(z - 2)*(z - 1)*(z + 1)**2
Solve -2*p**3/3 + 4*p**2/3 + 10*p - 24 = 0 for p.
-4, 3
Solve 3*c**2/2 - 153*c - 945/2 = 0 for c.
-3, 105
Solve -4*g**5 + 2012*g**4 - 338680*g**3 + 19301192*g**2 - 37594372*g + 18629852 = 0.
1, 167
Determine g, given that -3*g**2/8 - 2877*g/4 - 2759043/8 = 0.
-959
Suppose 3*z**3 + 255*z**2 + 5544*z + 5292 = 0. Calculate z.
-42, -1
Factor 2*s**4/21 - 2*s**3/3 + 2*s**2/3 + 10*s/7.
2*s*(s - 5)*(s - 3)*(s + 1)/21
Determine u so that 2*u**4/5 + 32*u**3/5 + 82*u**2/5 + 52*u/5 = 0.
-13, -2, -1, 0
Find q, given that 2*q**5/17 + 8*q**4/17 - 2*q**3/17 - 8*q**2/17 = 0.
-4, -1, 0, 1
Find t, given that -t**4/12 - 13*t**3/6 + 11*t**2 + 30*t = 0.
-30, -2, 0, 6
Find b, given that b**5 - 68*b**4 - 140*b**3 - 2*b**2 + 139*b + 70 = 0.
-1, 1, 70
Solve -f**5 + 26*f**4 - 226*f**3 + 840*f**2 - 1341*f + 702 = 0 for f.
1, 3, 6, 13
Find w, given that -2*w**2 + 74*w - 540 = 0.
10, 27
Factor y**3 + 7*y**2 - 4*y - 28.
(y - 2)*(y + 2)*(y + 7)
Factor 2*d**5 + 388*d**4 + 25712*d**3 + 620676*d**2 + 2595726*d + 2000376.
2*(d + 1)*(d + 4)*(d + 63)**3
Factor -2*y**2 + 106*y + 220.
-2*(y - 55)*(y + 2)
Determine j so that -5*j**5/2 - 17*j**4/2 + 97*j**3 + 40*j**2 = 0.
-8, -2/5, 0, 5
Factor -4*k**3 - 28*k**2 + 40*k + 64.
-4*(k - 2)*(k + 1)*(k + 8)
Find q, given that 2*q**3/9 - 2*q**2/9 - 4*q/9 = 0.
-1, 0, 2
Solve l**3/2 + 97*l**2/2 - 150*l = 0.
-100, 0, 3
What is g in -2*g**5/3 + 2*g**4/3 + 52*g**3/3 + 16*g**2 = 0?
-4, -1, 0, 6
Factor -3*r**3 + 3*r**2 + 15*r + 9.
-3*(r - 3)*(r + 1)**2
Determine z so that 12*z**4 - 152*z**3 + 336*z**2 - 160*z = 0.
0, 2/3, 2, 10
Factor -22*n**2/5 - 194*n/5 + 36/5.
-2*(n + 9)*(11*n - 2)/5
Suppose 4*p**5 - 28*p**3 - 24*p**2 = 0. Calculate p.
-2, -1, 0, 3
What is v in -16*v**2 + 177*v - 11 = 0?
1/16, 11
Factor -3*b**4 - 31*b**3 - 35*b**2 + 11*b + 18.
-(b + 1)**2*(b + 9)*(3*b - 2)
Determine j, given that 4*j**3 - 136*j**2 + 708*j - 1008 = 0.
3, 28
Determine y, given that -4*y**2/3 - 100*y/3 - 32 = 0.
