*u + 2765952 = 0.
-588, 2
Solve -2*d**5/13 + 456*d**4/13 + 920*d**3/13 + 4*d**2/13 - 918*d/13 - 460/13 = 0 for d.
-1, 1, 230
Factor 2*q**2/9 + 1196*q/9 - 800/3.
2*(q - 2)*(q + 600)/9
Determine n so that -3*n**3 - 54*n**2 - 243*n = 0.
-9, 0
Solve -s**4/3 + s**3/3 + 6*s**2 - 52*s/3 + 40/3 = 0.
-5, 2
Solve -2*o**2 - 7012*o - 6146018 = 0 for o.
-1753
Find r such that 9*r**2 - 92*r + 160 = 0.
20/9, 8
Solve 3*j**3 - 45*j**2 + 81*j - 39 = 0 for j.
1, 13
Factor 2*s**2 + 7188*s + 6458418.
2*(s + 1797)**2
Determine q so that -2*q**2/23 + 2016*q/23 - 508032/23 = 0.
504
Factor -2*l**2 + 26*l - 84.
-2*(l - 7)*(l - 6)
Determine r so that 4*r**3/7 + 54*r**2/7 + 2*r - 156/7 = 0.
-13, -2, 3/2
Factor -u**3/4 - 15*u**2/2 + 31*u/4.
-u*(u - 1)*(u + 31)/4
Solve 3*k**2/5 - 306*k/5 + 984 = 0 for k.
20, 82
Factor -3*n**3 + 135*n**2 - 1701*n + 6561.
-3*(n - 27)*(n - 9)**2
Solve -18*a**3 - 195*a**2 - 600*a - 375 = 0 for a.
-5, -5/6
Factor 3*k**5 + 405*k**4 + 13869*k**3 + 13467*k**2.
3*k**2*(k + 1)*(k + 67)**2
Factor -3*f**2/5 + 216*f/5 - 3213/5.
-3*(f - 51)*(f - 21)/5
Solve -g**5/2 - g**4/2 + g**3/2 + g**2/2 = 0.
-1, 0, 1
Let 3*g**2 + 4*g/3 = 0. What is g?
-4/9, 0
Determine g so that 4*g**3/9 + 2*g**2/9 - 26*g/9 + 4/3 = 0.
-3, 1/2, 2
What is b in -3*b**2 - 5454*b - 2478843 = 0?
-909
Factor -b**2 + 3208*b - 2572816.
-(b - 1604)**2
Let -196*p**5 - 532*p**4 + 2124*p**3 - 572*p**2 + 40*p = 0. What is p?
-5, 0, 1/7, 2
Factor -a**2/2 - 3*a/2 - 1.
-(a + 1)*(a + 2)/2
Suppose -2*f**2 - 4700*f - 2761250 = 0. What is f?
-1175
Factor 42*o**2 + 22*o - 20.
2*(o + 1)*(21*o - 10)
Suppose -2*o**4 - 572*o**3 - 40896*o**2 + 572*o + 40898 = 0. Calculate o.
-143, -1, 1
Factor -a**2/5 + 3134*a/5 - 2455489/5.
-(a - 1567)**2/5
Factor -18*x**3 + 8*x**2 - 8*x/9.
-2*x*(9*x - 2)**2/9
Factor y**5/6 - y**4 - y**3/6 + y**2.
y**2*(y - 6)*(y - 1)*(y + 1)/6
Suppose -5*o**2 + 3135*o + 3140 = 0. Calculate o.
-1, 628
Factor 2*j**2/11 + 14*j/11 + 24/11.
2*(j + 3)*(j + 4)/11
Factor 4*v**3 - 128*v**2 - 1516*v + 1640.
4*(v - 41)*(v - 1)*(v + 10)
Factor m**5/4 + 7*m**4/2 + 19*m**3 + 99*m**2/2 + 243*m/4 + 27.
(m + 1)*(m + 3)**3*(m + 4)/4
Determine i so that -i**2/5 - 44*i/5 - 484/5 = 0.
-22
Factor 2*b**2 - 116*b + 224.
2*(b - 56)*(b - 2)
Factor -1587*n**4/5 + 414*n**3/5 - 27*n**2/5.
-3*n**2*(23*n - 3)**2/5
What is c in -4*c**4 + 20*c**3 - 80*c + 64 = 0?
-2, 1, 2, 4
Factor 4*n**3 - 12*n - 8.
4*(n - 2)*(n + 1)**2
Factor -i**3/7 - 96*i**2/7 - 1065*i/7 + 166.
-(i - 1)*(i + 14)*(i + 83)/7
What is k in -4*k**5 - 4*k**4 + 20*k**3 + 4*k**2 - 32*k + 16 = 0?
-2, 1
Factor d**4/3 - 7*d**3/3 - 49*d**2/3 + 55*d/3.
d*(d - 11)*(d - 1)*(d + 5)/3
Let 4*o**3/7 - 15900*o**2/7 = 0. What is o?
0, 3975
Determine v, given that -3*v**3/2 - 33*v**2/2 + 279*v/2 - 459/2 = 0.
-17, 3
Suppose 2*g**2/3 - 6 = 0. What is g?
-3, 3
Let 3*d**5 - 6*d**4 - 33*d**3 + 24*d**2 + 60*d - 48 = 0. Calculate d.
-2, 1, 4
Factor 98*y**4 - 16296*y**3 + 679772*y**2 - 193224*y + 13778.
2*(y - 83)**2*(7*y - 1)**2
Factor -2*u**2/9 - 36*u - 1458.
-2*(u + 81)**2/9
Find u, given that -2*u**4/7 + 242*u**3/7 - 1840*u**2/7 + 3616*u/7 = 0.
0, 4, 113
Factor 2*t**2/17 + 90*t/17 - 500/17.
2*(t - 5)*(t + 50)/17
Factor -7*k**2/4 - 9*k/2 - 2.
-(k + 2)*(7*k + 4)/4
What is k in k**3/3 - 131*k**2/3 + 128*k/3 + 260/3 = 0?
-1, 2, 130
Find v, given that 3*v**3 + 27*v**2 - 30*v = 0.
-10, 0, 1
Factor 2*t**2 + 412*t + 6768.
2*(t + 18)*(t + 188)
Factor -y**2/6 - 3*y/2 - 3.
-(y + 3)*(y + 6)/6
Suppose -u**2/8 + u = 0. What is u?
0, 8
Let -5*p**4 - 2005*p**3 - 9915*p**2 - 5895*p + 17820 = 0. Calculate p.
-396, -3, 1
Solve t**3/3 - 11*t**2/3 + 31*t/3 - 7 = 0 for t.
1, 3, 7
Factor -d**2/2 + 13*d - 24.
-(d - 24)*(d - 2)/2
Factor -2*o**3 + 53*o**2 + 86*o - 56.
-(o - 28)*(o + 2)*(2*o - 1)
Factor 3*g**2 + 66*g + 336.
3*(g + 8)*(g + 14)
Find n, given that 5*n**3 - 55*n**2 - 130*n = 0.
-2, 0, 13
Factor -2*g**3/7 + 30*g**2/7 - 4*g.
-2*g*(g - 14)*(g - 1)/7
What is i in 3*i**2 + 474*i - 477 = 0?
-159, 1
Factor -3*r**5/7 + 15*r**4/7 - 30*r**3/7 + 30*r**2/7 - 15*r/7 + 3/7.
-3*(r - 1)**5/7
What is v in -v**2 + 2*v + 99 = 0?
-9, 11
Let 2*h**3 - 12*h**2 + 18*h = 0. What is h?
0, 3
Solve -v**4/8 + 47*v**3/8 - 477*v**2/8 - 1775*v/8 - 625/4 = 0.
-2, -1, 25
Factor 2*t**2/5 - 576*t/5 + 41472/5.
2*(t - 144)**2/5
Suppose g**2 - 35*g + 234 = 0. What is g?
9, 26
Determine d, given that -d**4/4 + 21*d**3/8 - 8*d**2 + 63*d/8 - 9/4 = 0.
1/2, 1, 3, 6
Factor 177*u**2 + 360*u + 12.
3*(u + 2)*(59*u + 2)
Factor -2*f**2/3 + 140*f/3 - 46.
-2*(f - 69)*(f - 1)/3
Factor y**3 - 14*y**2 + 39*y + 54.
(y - 9)*(y - 6)*(y + 1)
Suppose 3*d**3/5 + 138*d**2/5 + 2091*d/5 + 10404/5 = 0. What is d?
-17, -12
Determine c so that -2*c**4 - 233*c**3 + 117*c**2 = 0.
-117, 0, 1/2
Find m, given that 488*m**5 + 106*m**4 - 492*m**3 - 106*m**2 + 4*m = 0.
-1, -1/4, 0, 2/61, 1
Let 2*n**2 + 58*n - 60 = 0. Calculate n.
-30, 1
What is n in 5*n**2 + 135*n + 250 = 0?
-25, -2
Find a, given that -867*a**3 + 24072*a**2 + 5700*a + 336 = 0.
-2/17, 28
Let -2*o**2 + 632*o - 49928 = 0. Calculate o.
158
Suppose -s**2 + 13*s + 14 = 0. Calculate s.
-1, 14
Suppose -x**4/4 - 27*x**3/4 - 99*x**2/2 + 648 = 0. Calculate x.
-12, -6, 3
Determine u so that -25*u**3 - 90*u**2 + 40*u = 0.
-4, 0, 2/5
Factor 5*b**2 + 53750*b + 144453125.
5*(b + 5375)**2
Find d such that 3*d**4/5 - 38*d**3/5 - 16*d**2/5 + 38*d/5 + 13/5 = 0.
-1, -1/3, 1, 13
Factor 3*h**3/2 - 6*h**2 - 3*h/2 + 6.
3*(h - 4)*(h - 1)*(h + 1)/2
Suppose 2*n**4 + 18*n**3 + 44*n**2 - 64 = 0. Calculate n.
-4, -2, 1
Factor -l**4/8 - l**3/4 + 7*l**2/8 + 5*l/2 + 3/2.
-(l - 3)*(l + 1)*(l + 2)**2/8
Factor 5*f**4 + 50*f**3 - 60*f**2 - 50*f + 55.
5*(f - 1)**2*(f + 1)*(f + 11)
Find h such that 2*h**3/3 - 18*h**2 = 0.
0, 27
Factor -3*i**4 + 36*i**3 - 129*i**2 + 72*i + 240.
-3*(i - 5)*(i - 4)**2*(i + 1)
Find a such that -2*a**4/11 + 296*a**3/11 - 3360*a**2/11 + 13184*a/11 - 17408/11 = 0.
4, 136
Find h, given that h**3/7 - 75*h/7 - 250/7 = 0.
-5, 10
What is r in -r**2/6 + 11*r/3 = 0?
0, 22
Find h, given that 15*h**4 + 115*h**3 - 50*h**2 - 80*h = 0.
-8, -2/3, 0, 1
Find i such that 722*i**2/7 - 456*i/7 + 72/7 = 0.
6/19
Factor -l**2/8 - 55*l/4 - 321/8.
-(l + 3)*(l + 107)/8
Suppose 3*x**3 - 12*x**2 - 12*x + 48 = 0. What is x?
-2, 2, 4
Determine z, given that -4*z**2 + 22720*z - 32262400 = 0.
2840
Suppose -2*s**5/9 + 4*s**4/3 + 8*s**3/3 - 140*s**2/9 - 50*s/3 = 0. Calculate s.
-3, -1, 0, 5
Suppose -3*n**4/4 - 387*n**3/4 - 13047*n**2/4 - 36477*n/4 - 11907/2 = 0. What is n?
-63, -2, -1
Factor -3*a**3/4 - 3*a**2 + 417*a/4 + 429/2.
-3*(a - 11)*(a + 2)*(a + 13)/4
Determine f so that -f**2/3 + 258*f + 1552/3 = 0.
-2, 776
Factor 108*r**5 + 906*r**4 + 8299*r**3/3 + 7295*r**2/2 + 1900*r + 1000/3.
(2*r + 5)**3*(9*r + 4)**2/6
What is r in -5*r**3 - 50*r**2 - 115*r - 70 = 0?
-7, -2, -1
Find c, given that -c**3 - 12*c**2 + 315*c - 1274 = 0.
-26, 7
Find l such that -170*l**5/9 - 356*l**4/3 - 2320*l**3/9 - 1888*l**2/9 - 32*l + 64/9 = 0.
-2, -2/5, 2/17
Let -5*z**5/3 + 32*z**4/3 + 88*z**3/3 - 160*z**2/3 - 272*z/3 + 128/3 = 0. What is z?
-2, 2/5, 2, 8
Let 8*c**3/3 + 536*c**2/3 + 3318*c + 10584 = 0. What is c?
-63/2, -4
Solve -1922*m**2/7 + 496*m/7 - 32/7 = 0 for m.
4/31
Factor -m**3/2 + 25*m**2 + 157*m/2 + 53.
-(m - 53)*(m + 1)*(m + 2)/2
Factor 2*z**3 + 320*z**2/3 + 418*z/3 + 104/3.
2*(z + 1)*(z + 52)*(3*z + 1)/3
Let -2*v**5/5 + 8*v**3/5 + 4*v**2/5 - 6*v/5 - 4/5 = 0. Calculate v.
-1, 1, 2
Solve 2*f**4/13 - 252*f**3/13 + 1920*f**2/13 - 3776*f/13 = 0 for f.
0, 4, 118
Factor -35*d**2/2 - 3050*d - 870.
-5*(d + 174)*(7*d + 2)/2
Determine r, given that -2*r**4 + 124*r**3 - 2040*r**2 + 3600*r = 0.
0, 2, 30
What is u in -1390*u**2/7 + 1394*u/7 - 4/7 = 0?
2/695, 1
Let 21*f**2 + 3068*f + 292 = 0. Calculate f.
-146, -2/21
Factor 20*d**4 - 192*d**3 + 256*d**2.
4*d**2*(d - 8)*(5*d - 8)
Factor 4*t**2 + 672*t.
4*t*(t + 168)
Let -k**2/8 + 105*k/8 - 13 = 0. Calculate k.
1, 104
Factor -3*p**2 - 30*p - 48.
-3*(p + 2)*(p + 8)
Factor -39*m**2/7 + 3054*m/7 - 936/7.
-3*(m - 78)*(13*m - 4)/7
Factor -4*z**3 - 220*z**2 - 4000*z - 24000.
-4*(z + 15)*(z + 20)**2
Factor -9*n**3 - 330*n**2 - 2967*n + 1026.
-3*(n + 18)*(n + 19)*(3*n - 1)
Factor 2*a**5/5 - 34*a**4 + 738*a**3/5 + 245426*a**2/5 - 5237996*a/5.
2*a*(a - 41)**3*(a + 38)/5
Find o, given that -170*o**2 - 2*o = 0.
-1/85, 0
Fi