is j?
14, 123
Solve 2*u**5 - 20*u**4 + 80*u**3 - 160*u**2 + 160*u - 64 = 0 for u.
2
Let t**5/9 + 7*t**4/9 + 4*t**3/9 - 4*t**2/3 = 0. Calculate t.
-6, -2, 0, 1
Find b such that b**2 + 132*b - 405 = 0.
-135, 3
What is m in -3*m**4 + 150*m**3 + 468*m**2 + 474*m + 159 = 0?
-1, 53
Solve -4*n**3 - 8*n**2 + 28*n - 16 = 0 for n.
-4, 1
Suppose k**4 + 13*k**3 + 33*k**2 + 31*k + 10 = 0. Calculate k.
-10, -1
Let -4*s**2 + 696*s - 692 = 0. What is s?
1, 173
What is w in w**2 - 2*w = 0?
0, 2
Solve -3*d**3 - 2103*d**2 - 377832*d - 3232332 = 0.
-346, -9
Factor -y**2/2 + 23*y/2 - 30.
-(y - 20)*(y - 3)/2
Solve -2*b**5 + 13*b**4 + 26*b**3 - 16*b**2 = 0 for b.
-2, 0, 1/2, 8
Factor b**4/2 + 213*b**3/2 - 2*b**2 - 426*b.
b*(b - 2)*(b + 2)*(b + 213)/2
Suppose 5*j**2 + 60*j + 175 = 0. Calculate j.
-7, -5
Factor 3*p**3 - 1845*p**2 + 3681*p - 1839.
3*(p - 613)*(p - 1)**2
Solve -4*y**2 + 292*y - 568 = 0 for y.
2, 71
Factor 2*k**3/11 - 184*k**2/11 + 512*k - 57344/11.
2*(k - 32)**2*(k - 28)/11
Suppose 226576*u**2 + 952*u + 1 = 0. What is u?
-1/476
What is z in -z**3/2 + 1769*z**2/2 + z/2 - 1769/2 = 0?
-1, 1, 1769
Solve 26*f**3/11 - 38*f**2/11 + 12*f/11 = 0 for f.
0, 6/13, 1
Solve -4*v**2 + 2768*v - 5520 = 0 for v.
2, 690
Suppose p**4/6 - 31*p**3/3 + 179*p**2/6 - 59*p/3 = 0. What is p?
0, 1, 2, 59
Determine y so that 27*y**2 - 186*y + 40 = 0.
2/9, 20/3
Let -3*h**2 - 735*h = 0. What is h?
-245, 0
Suppose -5*q**5 + 5*q**4 + 25*q**3 - 5*q**2 - 40*q - 20 = 0. Calculate q.
-1, 2
Factor 15*q**3 - 55*q**2 + 65*q - 25.
5*(q - 1)**2*(3*q - 5)
Factor -12*a**3 - 105*a**2 - 264*a - 144.
-3*(a + 4)**2*(4*a + 3)
Determine u, given that 2*u**5 - 132*u**4 + 1062*u**3 - 2044*u**2 - 504*u + 2736 = 0.
-1, 2, 6, 57
Solve 2*x**2 - 138*x - 140 = 0 for x.
-1, 70
Let 2*g**4/5 - 24*g**3/5 - 2*g**2/5 + 24*g/5 = 0. What is g?
-1, 0, 1, 12
Factor -1875*u**3 - 3450*u**2 + 588*u - 24.
-3*(u + 2)*(25*u - 2)**2
Determine w so that 4*w**4 + 36*w**3 + 108*w**2 + 108*w = 0.
-3, 0
Factor -3*f**2 - 51*f - 48.
-3*(f + 1)*(f + 16)
Factor -9*b**3/8 + 3*b**2/4 + 69*b/8 - 45/4.
-3*(b - 2)*(b + 3)*(3*b - 5)/8
Suppose s**4/3 - s**3 - 8*s**2/3 + 4*s + 16/3 = 0. What is s?
-2, -1, 2, 4
Determine s, given that 2*s**2/17 - 766*s/17 + 1524/17 = 0.
2, 381
Let -2*f**3 + 32*f**2 - 160*f + 256 = 0. What is f?
4, 8
Suppose -2*f**4/11 - 450*f**3/11 + 908*f**2/11 = 0. What is f?
-227, 0, 2
Factor k**3/8 - 16*k**2 + 253*k/8 - 63/4.
(k - 126)*(k - 1)**2/8
Factor q**3 + 19*q**2 - 45*q - 63.
(q - 3)*(q + 1)*(q + 21)
Factor -4*v**5 - 12*v**4 + 16*v**2.
-4*v**2*(v - 1)*(v + 2)**2
Determine d so that -d**3/2 + 15*d**2 - 83*d/2 + 27 = 0.
1, 2, 27
Factor h**2/8 - h/8 - 1/4.
(h - 2)*(h + 1)/8
Suppose 3*g**2/2 - 663*g/2 + 657 = 0. What is g?
2, 219
What is o in -o**2/6 + 8*o/3 + 130/3 = 0?
-10, 26
Determine b so that -17*b**2/2 + 1481*b/2 - 87 = 0.
2/17, 87
Factor -4*h**3 - 28*h**2 - 24*h.
-4*h*(h + 1)*(h + 6)
Factor 32*g**4/7 + 170*g**3/7 + 318*g**2/7 + 254*g/7 + 74/7.
2*(g + 1)**3*(16*g + 37)/7
Find x, given that -x**2/5 + 48*x - 2880 = 0.
120
Determine p so that 4*p**4 + 4*p**3 - 12*p**2 - 20*p - 8 = 0.
-1, 2
Let 25*i**5 + 40*i**4 - 220*i**3 - 370*i**2 - 45*i + 90 = 0. Calculate i.
-3, -1, 2/5, 3
Factor 3*c**2 - 27*c.
3*c*(c - 9)
Factor 6411024*a**2 - 10128*a + 4.
4*(1266*a - 1)**2
Factor -676*r**5/7 + 208*r**4/7 - 16*r**3/7.
-4*r**3*(13*r - 2)**2/7
Factor -5*z**2 + 150*z - 1125.
-5*(z - 15)**2
Let 2*o**4/11 - 20*o**3/11 - 6*o**2/11 + 64*o/11 - 40/11 = 0. What is o?
-2, 1, 10
Find y such that 2*y**4/3 = 0.
0
Factor -2*h**3/17 + 182*h**2/17 - 3718*h/17 + 21970/17.
-2*(h - 65)*(h - 13)**2/17
Factor 16*z**2/7 - 122*z + 318/7.
2*(z - 53)*(8*z - 3)/7
Determine x so that -5*x**4 - 2175*x**3 + 2185*x**2 + 2175*x - 2180 = 0.
-436, -1, 1
Find o such that 2*o**2/11 + 3972*o/11 + 1972098/11 = 0.
-993
Factor a**3 - a**2 - a + 1.
(a - 1)**2*(a + 1)
Let -4*k**2 - 9736*k - 9732 = 0. What is k?
-2433, -1
Factor 2*v**4 + 14*v**3 + 28*v**2 + 16*v.
2*v*(v + 1)*(v + 2)*(v + 4)
Find c, given that 5*c**2 - 1075*c + 1070 = 0.
1, 214
Factor -2*y**2/7 - 524*y/7 + 526/7.
-2*(y - 1)*(y + 263)/7
Factor 2*a**2/7 - 1756*a/7 + 385442/7.
2*(a - 439)**2/7
Suppose -2*o**3/7 + 114*o/7 + 16 = 0. Calculate o.
-7, -1, 8
Factor 8*a**4 + 30*a**3 - 104*a**2 + 24*a.
2*a*(a - 2)*(a + 6)*(4*a - 1)
Factor -2*t**3/11 - 62*t**2/11 + 138*t/11 + 18.
-2*(t - 3)*(t + 1)*(t + 33)/11
Factor f**5 - 6*f**4 + 8*f**3 + 2*f**2 - 9*f + 4.
(f - 4)*(f - 1)**3*(f + 1)
Factor 2*m**2/11 + 488*m/11 + 29768/11.
2*(m + 122)**2/11
Factor -i**2/2 + 720*i - 259200.
-(i - 720)**2/2
Solve -n**2 + 548*n - 1092 = 0.
2, 546
Suppose -x**4/10 - 21*x**3/5 - 573*x**2/10 - 272*x - 1734/5 = 0. Calculate x.
-17, -6, -2
Factor -2*b**3/5 + 218*b**2.
-2*b**2*(b - 545)/5
Factor -q**4 - 134*q**3 - 5109*q**2 - 41540*q - 96100.
-(q + 5)**2*(q + 62)**2
What is n in -4*n**3 + 2716*n**2 + 5444*n + 2724 = 0?
-1, 681
Suppose b**2/3 - 351*b + 1052/3 = 0. What is b?
1, 1052
Factor -a**4/4 - 51*a**3/4 + 289*a**2.
-a**2*(a - 17)*(a + 68)/4
Determine b so that -4*b**3 + 628*b**2 + 1284*b - 1908 = 0.
-3, 1, 159
Suppose -5*a**2 - 405*a + 1700 = 0. Calculate a.
-85, 4
Solve 5*o**4/4 - 565*o**3/4 - 2915*o**2/4 - 4115*o/4 - 885/2 = 0 for o.
-3, -1, 118
Determine y so that y**2/2 - 125*y/2 + 62 = 0.
1, 124
Factor 5*n**4 - 95*n**3 + 170*n**2.
5*n**2*(n - 17)*(n - 2)
What is h in 5*h**3 - 35*h**2 + 80*h - 60 = 0?
2, 3
Factor 3*c**5 - 3*c**4 - 18*c**3 - 6*c**2 + 15*c + 9.
3*(c - 3)*(c - 1)*(c + 1)**3
Solve c**4 - 9*c**2 - 4*c + 12 = 0 for c.
-2, 1, 3
Determine x, given that x**2/4 - 21*x/2 + 245/4 = 0.
7, 35
Factor -t**5 - 4120*t**4 - 6789760*t**3 - 5594762240*t**2 - 2305042042880*t - 379870928666624.
-(t + 824)**5
Solve -5*h**3 - 4890*h**2 - 1594140*h - 173229880 = 0 for h.
-326
Factor -2*v**4/9 + 16*v**3/3 - 10*v**2 + 44*v/9.
-2*v*(v - 22)*(v - 1)**2/9
Suppose 15*h**3/2 - 670*h**2 + 29475*h/2 + 10125 = 0. What is h?
-2/3, 45
Find r such that r**4/5 - 7*r**3/5 - 18*r**2/5 = 0.
-2, 0, 9
Factor 5*z**3 - 170*z**2 + 1445*z.
5*z*(z - 17)**2
Factor 6*q**2/5 - 7916*q/15 - 352/3.
2*(q - 440)*(9*q + 2)/15
Solve -5*t**5/3 - 1030*t**4/3 - 54055*t**3/3 - 103010*t**2/3 + 18020*t + 34680 = 0 for t.
-102, -2, -1, 1
Solve 2*p**4/5 + 60*p**3 + 10938*p**2/5 - 24016*p/5 - 34656/5 = 0 for p.
-76, -1, 3
Solve -52*s**3/5 + 64*s**2/5 + 16*s = 0 for s.
-10/13, 0, 2
What is u in 3*u**3 - 54*u**2 = 0?
0, 18
Suppose -w**3/4 + 523*w**2/4 - 17030*w - 17161 = 0. What is w?
-1, 262
Find s such that -s**4 + 4*s**3 + 13*s**2 - 4*s - 12 = 0.
-2, -1, 1, 6
Factor -2*w**2/15 - 4*w/15 + 16/15.
-2*(w - 2)*(w + 4)/15
Factor -3*g**2/2 + 222*g - 441/2.
-3*(g - 147)*(g - 1)/2
Factor 5*l**4 - 120*l**3 + 860*l**2 - 2400*l + 2240.
5*(l - 14)*(l - 4)**2*(l - 2)
Let 23*a**2 - 35*a/2 + 3 = 0. What is a?
6/23, 1/2
Let l**3/4 - 5*l**2/4 - l/4 + 5/4 = 0. Calculate l.
-1, 1, 5
Suppose -5*n**2 + 5475*n = 0. Calculate n.
0, 1095
Find q such that 4*q**2 + 120*q - 124 = 0.
-31, 1
Suppose -6*w**5/7 + 120*w**4/7 - 684*w**3/7 + 120*w**2 + 1650*w/7 = 0. What is w?
-1, 0, 5, 11
Factor 4*r**4 + 80*r**3 - 624*r**2 + 128*r + 3328.
4*(r - 4)**2*(r + 2)*(r + 26)
Factor -5*v**2/3 + 220*v/3 + 1225/3.
-5*(v - 49)*(v + 5)/3
Factor 2*t**2 + 4044*t + 2044242.
2*(t + 1011)**2
Factor -4*d**2 + 204*d + 208.
-4*(d - 52)*(d + 1)
Find s, given that 2*s**3 + 166*s**2 - 512*s + 344 = 0.
-86, 1, 2
Find o, given that 3*o**4/8 - 39*o**3/8 + 45*o**2/2 - 42*o + 24 = 0.
1, 4
Suppose -4*i**3 - 28*i**2 + 16*i + 112 = 0. Calculate i.
-7, -2, 2
Solve -4*t**2/5 - 156*t/5 + 328/5 = 0.
-41, 2
Factor -2*d**2/11 - 3716*d/11 - 1726082/11.
-2*(d + 929)**2/11
Factor 5*s**3/7 + 31*s**2/7 - 138*s/7.
s*(s - 3)*(5*s + 46)/7
Factor -2*u**2/9 + 26*u/3 - 76/9.
-2*(u - 38)*(u - 1)/9
Factor -3*i**4/8 - 3*i**3/4 + 3*i/4 + 3/8.
-3*(i - 1)*(i + 1)**3/8
Factor -2*w**4/7 - 82*w**3/7 + 172*w**2/7.
-2*w**2*(w - 2)*(w + 43)/7
Determine r, given that -2*r**2 + 820*r + 822 = 0.
-1, 411
Factor h**4 + 8*h**3 + 15*h**2 - 4*h - 20.
(h - 1)*(h + 2)**2*(h + 5)
Suppose t**3/3 - 10*t**2/3 + 4*t + 24 = 0. Calculate t.
-2, 6
Let z**2/2 + 11*z - 23/2 = 0. What is z?
-23, 1
Factor -2*y**4 + 8*y**3 + 104*y**2 + 160*y.
-2*y*(y - 10)*(y + 2)*(y + 4)
Determine h, given that -2*h**5/3 - 14*h**4/3 + 32*h**3/3 + 176*h**2/3 - 160*h + 96 = 0.
-6, 1, 2
Determine b so that 3