etermine j, given that -4*j**5/5 + 16*j**4/5 + 96*j**3/5 - 216*j**2/5 - 108*j + 648/5 = 0.
-3, 1, 3, 6
What is x in 3*x**2 - 1114*x - 744 = 0?
-2/3, 372
What is g in -g**4 + 128*g**3 - 4222*g**2 + 8064*g - 3969 = 0?
1, 63
Suppose 2*t**4/9 - 112*t**3/9 + 698*t**2/9 - 196*t/3 = 0. Calculate t.
0, 1, 6, 49
Factor -2*f**2/7 + 464*f/7 + 466/7.
-2*(f - 233)*(f + 1)/7
Suppose -q**5/2 - 13*q**4 + 42*q**3 - 43*q**2 + 29*q/2 = 0. Calculate q.
-29, 0, 1
Find n such that -10*n**4/13 - 266*n**3/13 - 632*n**2/13 - 184*n/13 + 192/13 = 0.
-24, -2, -1, 2/5
Determine q, given that 4*q**5 + 28*q**4 - 36*q**3 - 28*q**2 + 32*q = 0.
-8, -1, 0, 1
Let v**3 - 48*v**2 - v + 48 = 0. Calculate v.
-1, 1, 48
Factor k**5 - 7*k**3 + 2*k**2 + 12*k - 8.
(k - 2)*(k - 1)**2*(k + 2)**2
Factor 4418*n**3/5 + 4794*n**2/5 + 384*n/5 + 8/5.
2*(n + 1)*(47*n + 2)**2/5
Factor -x**3/6 + 253*x**2/6 - 15875*x/6 - 16129/6.
-(x - 127)**2*(x + 1)/6
Let 4*m**4 - 584*m**3 + 21892*m**2 - 42048*m + 20736 = 0. Calculate m.
1, 72
Factor 45*i**3 - 980*i**2 + 5225*i + 1210.
5*(i - 11)**2*(9*i + 2)
Let 3*r**2/5 + 24*r/5 - 27/5 = 0. What is r?
-9, 1
Factor 2*b**3/15 + 788*b**2/15 + 15680*b/3 + 153664/15.
2*(b + 2)*(b + 196)**2/15
Let -l**2/3 - 141*l - 842/3 = 0. Calculate l.
-421, -2
Find i, given that 2*i**2/5 + 38*i/5 - 184/5 = 0.
-23, 4
Solve -265*c**3 + 1335*c**2 - 1110*c + 40 = 0.
2/53, 1, 4
Factor 4*w**2 - 40*w - 384.
4*(w - 16)*(w + 6)
Suppose 4*l**2/3 + 2784*l + 1453248 = 0. What is l?
-1044
Factor -q**3 + 8*q**2 - 19*q + 12.
-(q - 4)*(q - 3)*(q - 1)
Factor -3*p**2/2 + 57*p/2.
-3*p*(p - 19)/2
Let -2*q**3/9 + 286*q**2/9 - 3634*q/3 + 5290 = 0. Calculate q.
5, 69
Factor 2*k**3/15 - 158*k**2/5 + 9282*k/5 + 28322/15.
2*(k - 119)**2*(k + 1)/15
Factor n**2/3 + 12*n - 39.
(n - 3)*(n + 39)/3
Factor 2*q**3/5 - 4*q**2 + 46*q/5 - 28/5.
2*(q - 7)*(q - 2)*(q - 1)/5
Determine x, given that 4*x**4/3 - 72*x**3 + 1012*x**2/3 - 528*x + 784/3 = 0.
1, 2, 49
Factor 5*a**4 + 65*a**3 + 115*a**2 + 55*a.
5*a*(a + 1)**2*(a + 11)
Determine y, given that 3*y**3 + 47*y**2 + 176*y - 64 = 0.
-8, 1/3
Factor 3*t**5 + 3*t**4.
3*t**4*(t + 1)
Factor 2*i**3/17 - 2*i**2 - 34*i + 578.
2*(i - 17)**2*(i + 17)/17
Determine x, given that -2*x**4/11 + 134*x**3/11 - 388*x**2/11 + 256*x/11 = 0.
0, 1, 2, 64
Factor -3*i**5 + 18*i**4 + 264*i**3 + 912*i**2 + 1296*i + 672.
-3*(i - 14)*(i + 2)**4
Factor a**2/4 + 91*a/2 + 181/4.
(a + 1)*(a + 181)/4
Factor -3*t**2/4 - 105*t/4 - 51/2.
-3*(t + 1)*(t + 34)/4
Find b, given that -4*b**2 + 592*b - 1168 = 0.
2, 146
Factor -3*m**3/4 + 3*m**2/2 + 21*m/4 + 3.
-3*(m - 4)*(m + 1)**2/4
Factor 2*j**3 - 12*j**2 - 126*j - 216.
2*(j - 12)*(j + 3)**2
Let -14*z**4/5 - 1494*z**3/5 - 46262*z**2/5 - 438426*z/5 + 129076/5 = 0. Calculate z.
-61, -23, 2/7
Factor -t**3/5 + 5*t**2 + 53*t/5 + 27/5.
-(t - 27)*(t + 1)**2/5
Solve -12*d**5 - 104*d**4 + 36*d**3 = 0.
-9, 0, 1/3
Factor 15*u**2 + 9*u - 6.
3*(u + 1)*(5*u - 2)
What is a in 9*a**4/2 + 21*a**3 + 24*a**2 + 3*a - 9/2 = 0?
-3, -1, 1/3
Let -20*g**4 + 288*g**3 - 112*g**2 = 0. What is g?
0, 2/5, 14
Suppose i**2 - 5*i - 36 = 0. Calculate i.
-4, 9
Determine s so that -s**2/4 - 77*s/2 + 471/4 = 0.
-157, 3
Find a, given that a**3/5 + 51*a**2/5 - 109*a/5 - 159/5 = 0.
-53, -1, 3
Determine c, given that 8*c**4 - 125*c**3 + 376*c**2 + 719*c + 210 = 0.
-1, -3/8, 7, 10
What is k in 16*k**5 - 324*k**4 + 1664*k**3 - 76*k**2 - 1680*k + 400 = 0?
-1, 1/4, 1, 10
Factor -3*z**3 + 27*z**2 - 60*z + 36.
-3*(z - 6)*(z - 2)*(z - 1)
Suppose c**5 - 64*c**4 - 266*c**3 - 404*c**2 - 271*c - 68 = 0. What is c?
-1, 68
Let 8*k**4/9 - 58*k**3/3 + 988*k**2/9 - 202*k/3 - 24 = 0. What is k?
-1/4, 1, 9, 12
Let 14*x**3 + 80*x**2 + 96*x = 0. Calculate x.
-4, -12/7, 0
Solve 26*j**5 - 466*j**4 + 1550*j**3 + 4802*j**2 + 2960*j + 200 = 0 for j.
-1, -1/13, 10
Factor 2*x**3/5 - 182*x**2/5 + 5328*x/5 - 49248/5.
2*(x - 36)**2*(x - 19)/5
Factor 8*p**3 - 848*p**2 - 854*p - 214.
2*(p - 107)*(2*p + 1)**2
Find t, given that -2*t**4 - 1028*t**3 - 3072*t**2 - 3068*t - 1022 = 0.
-511, -1
Find f, given that -3*f**2 - 309*f + 1284 = 0.
-107, 4
Factor -2*t**4/5 - 18*t**3/5 - 48*t**2/5 - 8*t.
-2*t*(t + 2)**2*(t + 5)/5
What is r in 2*r**4/3 - 28*r**3/3 + 104*r**2/3 + 16*r - 192 = 0?
-2, 4, 6
Factor -5*c**5/4 - 49*c**4/4 + 5*c**3/2.
-c**3*(c + 10)*(5*c - 1)/4
Suppose u**4/2 - 6*u**3 + 5*u**2 + 6*u - 11/2 = 0. What is u?
-1, 1, 11
Let -28*w**5 - 67*w**4 - 11*w**3 + 67*w**2 + 39*w = 0. What is w?
-39/28, -1, 0, 1
Factor 5*s**2 - 200*s.
5*s*(s - 40)
Determine g, given that -g**4/5 - 4*g**3/5 + 2*g**2/5 + 12*g/5 - 9/5 = 0.
-3, 1
What is r in 3*r**5/5 - 7*r**4 + 88*r**3/5 + 136*r**2/5 - 336*r/5 + 144/5 = 0?
-2, 2/3, 1, 6
Factor -2*i**3/7 + 446*i**2/7 - 25086*i/7 + 24642/7.
-2*(i - 111)**2*(i - 1)/7
Find n such that 2*n**2/13 - 66*n/13 + 124/13 = 0.
2, 31
Determine q, given that 2*q**5/5 - 16*q**4/5 + 2*q**3 + 20*q**2 = 0.
-2, 0, 5
Factor 2*t**3/3 - 16*t**2/15 - 56*t/15 + 32/5.
2*(t - 2)**2*(5*t + 12)/15
Suppose -3*k**4 - 9*k**3 + 12*k = 0. What is k?
-2, 0, 1
Suppose -4*w**2 - 10104*w - 6380676 = 0. What is w?
-1263
Suppose 3*c**2/2 - 60*c + 117/2 = 0. What is c?
1, 39
Factor -44*p**2 + 428*p + 120.
-4*(p - 10)*(11*p + 3)
Factor -2*z**2/7 + 64*z/7.
-2*z*(z - 32)/7
Factor 51*d**3/2 + 101*d**2 - 263*d/2 + 5.
(d - 1)*(d + 5)*(51*d - 2)/2
Factor 4*p**2 + 240*p + 464.
4*(p + 2)*(p + 58)
Factor 2*g**4/3 + 19*g**3/6 + 23*g**2/6 + 5*g/6 - 1/2.
(g + 1)**2*(g + 3)*(4*g - 1)/6
Let -6*i**3/23 - 40*i**2/23 - 58*i/23 + 24/23 = 0. What is i?
-4, -3, 1/3
Factor -2*o**5/3 + 14*o**4/3 - 16*o**3/3 - 32*o**2/3.
-2*o**2*(o - 4)**2*(o + 1)/3
Let -310*z**4 + 476*z**3 + 280*z**2 + 16*z = 0. Calculate z.
-2/5, -2/31, 0, 2
Factor 2*f**2/11 - 7932*f/11 + 7864578/11.
2*(f - 1983)**2/11
Factor -2*c**5/7 - 18*c**4/7 - 60*c**3/7 - 88*c**2/7 - 48*c/7.
-2*c*(c + 2)**3*(c + 3)/7
What is z in -3*z**5/5 + 2721*z**4/5 - 543*z**3 - 2721*z**2/5 + 2718*z/5 = 0?
-1, 0, 1, 906
Factor -3*k**4/4 - 186*k**3 - 11154*k**2 + 46872*k - 47628.
-3*(k - 2)**2*(k + 126)**2/4
Let -7*n**4/6 - 101*n**3/6 - 133*n**2/6 - 13*n/2 = 0. What is n?
-13, -1, -3/7, 0
Factor 2*s**2/13 + 100*s/13 - 16.
2*(s - 2)*(s + 52)/13
Factor -5*g**3 - 45*g**2 - 120*g - 100.
-5*(g + 2)**2*(g + 5)
Factor -7*a**3 - 446*a**2 - 7040*a + 2048.
-(a + 32)**2*(7*a - 2)
Factor r**2/10 - 36*r/5 - 73/10.
(r - 73)*(r + 1)/10
Factor 4*c**2/7 - 12*c + 152/7.
4*(c - 19)*(c - 2)/7
Factor 2*x**2 - 12*x - 110.
2*(x - 11)*(x + 5)
Suppose -4*w**4 - 8*w**3 + 48*w**2 - 56*w + 20 = 0. Calculate w.
-5, 1
Factor -21*c**2 - 888*c - 252.
-3*(c + 42)*(7*c + 2)
Let 3*c**3 - 9*c**2 - 390*c + 792 = 0. Calculate c.
-11, 2, 12
Let 2*a**3/9 - 2*a/9 = 0. What is a?
-1, 0, 1
Factor -64*b**3 + 105696*b**2 + 52860*b + 6608.
-4*(b - 1652)*(4*b + 1)**2
Solve -5*d**2 + 20050*d + 20055 = 0 for d.
-1, 4011
Factor -2*a**2 + 18*a - 16.
-2*(a - 8)*(a - 1)
Factor 3*d**4 - 627*d**3 + 44091*d**2 - 1071225*d + 1971054.
3*(d - 69)**3*(d - 2)
Solve -2*m**5 + 8*m**4 - 4*m**3 - 8*m**2 + 6*m = 0 for m.
-1, 0, 1, 3
Suppose 9*v**3 - 21*v**2/2 - 12*v + 15/2 = 0. Calculate v.
-1, 1/2, 5/3
Factor -v**3/3 - 5*v**2 + 16*v/3.
-v*(v - 1)*(v + 16)/3
Factor 2*l**3 - 8*l**2 + 8*l.
2*l*(l - 2)**2
Solve -2*d**4 + 76*d**3 - 1074*d**2 + 6688*d - 15488 = 0.
8, 11
Determine o so that -o**4 + 28*o**3 - 140*o**2 + 176*o = 0.
0, 2, 4, 22
Find b such that 2*b**5/15 - 8*b**4/15 - 22*b**3/15 + 52*b**2/15 + 56*b/15 - 16/3 = 0.
-2, 1, 2, 5
Factor -o**4/6 - 3*o**3 - 40*o**2/3 - 16*o.
-o*(o + 2)*(o + 4)*(o + 12)/6
What is a in 2*a**4/7 + 12*a**3/7 - 8*a**2/7 - 108*a/7 - 90/7 = 0?
-5, -3, -1, 3
Factor 2*r**2/5 + 42*r/5 + 76/5.
2*(r + 2)*(r + 19)/5
Determine u so that -3*u**3/4 - 33*u**2 + 13689*u/4 - 107163/2 = 0.
-98, 27
Solve -4*y**5 + 16*y**4 + 44*y**3 - 264*y**2 + 288*y = 0 for y.
-4, 0, 2, 3
Factor -2*o**3/15 + 28*o**2/15 + 62*o/15 + 32/15.
-2*(o - 16)*(o + 1)**2/15
Find q such that -q**5/2 + 13*q**4/2 - 16*q**3 + 10*q**2 = 0.
0, 1, 2, 10
Determine w, given that 5*w**4 - 20*w**3 + 30*w**2 - 20*w + 5 = 0.
1
Factor -5*n**2 - 145*n + 1950.
-5*(n - 10)*(n + 39)
Factor -5*n**3 + 5335*n**2.
-5*n**2*(n - 1067)
Factor -i**4/5 + 68*i**3/5 - 384*i**2/5 + 752*i/5 - 496/5.
-(i - 62)*(i - 2)**3/5
Solve -5*v**4 + 2215*v**3/4 + 575*v**2/4 - 2215*v/4 - 555/4 = 0 for v.
-1, -1/4, 1, 111
Find m, given that 2*