*f - 12 = 0. What is f?
-2, -4/7, -1/3, 3
Factor 4*n**4 + 628*n**3.
4*n**3*(n + 157)
Find v, given that 4*v**2 - 88*v - 192 = 0.
-2, 24
Determine d, given that 4*d**4 - 108*d**3 + 1028*d**2 - 3924*d + 4536 = 0.
2, 7, 9
Factor 15*i**3 + 115*i**2 + 220*i + 100.
5*(i + 2)*(i + 5)*(3*i + 2)
What is b in -2*b**5 + 56*b**4 - 358*b**3 - 416*b**2 = 0?
-1, 0, 13, 16
Factor 3*k**3/8 + 3045*k**2/8 - 18351*k/8 + 27567/8.
3*(k - 3)**2*(k + 1021)/8
Determine y, given that 5*y**5 - 45*y**4 + 115*y**3 - 35*y**2 - 120*y + 80 = 0.
-1, 1, 4
Solve -2*j**5/11 + 38*j**4/11 + 274*j**3/11 + 626*j**2/11 + 592*j/11 + 200/11 = 0.
-2, -1, 25
Factor -3*o**5/7 - 633*o**4/7 - 4815*o**3 - 4725*o**2.
-3*o**2*(o + 1)*(o + 105)**2/7
Factor 2*n**5/5 + 14*n**4/5 - 76*n**3/5 + 124*n**2/5 - 86*n/5 + 22/5.
2*(n - 1)**4*(n + 11)/5
Factor 3*q**2 - 2622*q + 572907.
3*(q - 437)**2
Factor -4*o**4 - 4*o**3 + 136*o**2 + 256*o - 384.
-4*(o - 6)*(o - 1)*(o + 4)**2
Factor 4*r**3 + 96*r**2 + 252*r.
4*r*(r + 3)*(r + 21)
Factor 2*p**2/7 + 12*p/7 - 80/7.
2*(p - 4)*(p + 10)/7
Factor z**2/4 - 89*z/4 + 129/2.
(z - 86)*(z - 3)/4
Factor w**4/6 + 107*w**3/6 + 157*w**2/3 + 104*w/3.
w*(w + 1)*(w + 2)*(w + 104)/6
Factor 3*u**4/5 + 6*u**3/5 - 9*u**2/5 - 12*u/5 + 12/5.
3*(u - 1)**2*(u + 2)**2/5
Find a such that -3*a**4 - 9*a**3 + 12*a = 0.
-2, 0, 1
Factor 5*t**3 - 450*t**2 + 10125*t.
5*t*(t - 45)**2
Determine d so that 3*d**3/2 + 699*d**2 - 2805*d/2 + 702 = 0.
-468, 1
Factor a**2 + 64*a - 132.
(a - 2)*(a + 66)
Factor n**5 + 655*n**4 + 171610*n**3 + 22480910*n**2 + 1472499605*n + 38579489651.
(n + 131)**5
Factor -j**3/2 + 159*j**2/2 - 8427*j/2 + 148877/2.
-(j - 53)**3/2
Solve 3*x**4/5 - 441*x**3/5 + 87*x**2 + 441*x/5 - 438/5 = 0 for x.
-1, 1, 146
Determine i so that -2*i**2/19 + 28*i/19 - 96/19 = 0.
6, 8
Find k, given that k**2 - 4*k - 12 = 0.
-2, 6
Factor 2*s**3 + 10*s**2 + 14*s + 6.
2*(s + 1)**2*(s + 3)
Suppose -220*b**4/3 - 905*b**3/3 - 1235*b**2/3 - 670*b/3 - 40 = 0. What is b?
-2, -1, -3/4, -4/11
Suppose 2*f**5 + 200*f**4/3 + 1598*f**3/3 - 1156*f**2/3 = 0. Calculate f.
-17, 0, 2/3
Find s, given that -16*s**5/13 - 248*s**4/13 + 684*s**3/13 - 634*s**2/13 + 250*s/13 - 36/13 = 0.
-18, 1/2, 1
What is f in -3*f**3/7 + 120*f**2/7 + 3*f/7 - 120/7 = 0?
-1, 1, 40
Find z such that -z**3/3 - 3*z**2 + 139*z + 425/3 = 0.
-25, -1, 17
What is z in 10*z**3/11 + 336*z**2/11 - 136*z/11 = 0?
-34, 0, 2/5
Find k such that 36*k**3 + 1196*k**2 - 960*k - 272 = 0.
-34, -2/9, 1
Find p such that 2*p**4/3 + 14*p**3/3 + 34*p**2/3 + 34*p/3 + 4 = 0.
-3, -2, -1
Factor 2*v**2/11 - 170*v/11 - 712/11.
2*(v - 89)*(v + 4)/11
Factor -5*l**3 + 15*l**2 + 180*l + 160.
-5*(l - 8)*(l + 1)*(l + 4)
Determine c so that c**5 - 16*c**4 + 54*c**3 + 16*c**2 - 55*c = 0.
-1, 0, 1, 5, 11
Determine k, given that -2*k**5/5 - 32*k**4/5 + 154*k**3/5 - 24*k**2 = 0.
-20, 0, 1, 3
Suppose 4*t**2 + 40*t + 96 = 0. Calculate t.
-6, -4
Factor 5*c**3/11 - c**2/11 - 64*c/11 - 84/11.
(c + 2)**2*(5*c - 21)/11
Find b, given that 5*b**2 - 3985*b + 15860 = 0.
4, 793
Let -w**3/10 + 2613*w**2/10 - 2275923*w/10 + 660776311/10 = 0. What is w?
871
Determine s, given that -5*s**2 - 56700*s - 160744500 = 0.
-5670
What is w in -3*w**5/5 + 150*w**4 - 62748*w**3/5 + 1777362*w**2/5 - 1715361*w/5 = 0?
0, 1, 83
Let 2*k**4/3 + 112*k**3/3 - 198*k**2 + 968*k/3 - 488/3 = 0. What is k?
-61, 1, 2
Factor 2*y**2 - 360*y + 16200.
2*(y - 90)**2
Factor 4*h**3 + 44*h**2 + 140*h + 100.
4*(h + 1)*(h + 5)**2
Suppose -2*b**2/3 + 340*b/3 - 338/3 = 0. Calculate b.
1, 169
Factor 4*d**2 + 1180*d - 3576.
4*(d - 3)*(d + 298)
Factor -18*t**4 + 4*t**3 + 162*t**2 - 36*t.
-2*t*(t - 3)*(t + 3)*(9*t - 2)
Factor 3*c**5 - 24*c**4 + 63*c**3 - 66*c**2 + 24*c.
3*c*(c - 4)*(c - 2)*(c - 1)**2
Let -5*l**3 + 15*l**2 + 50*l = 0. Calculate l.
-2, 0, 5
Determine u, given that -3*u**5 + 630*u**4 - 33066*u**3 - 1896*u**2 + 100485*u - 66150 = 0.
-2, 1, 105
Determine j, given that 3*j**5 - 9*j**4 - 30*j**3 - 6*j**2 + 27*j + 15 = 0.
-1, 1, 5
What is q in 147*q**5 - 84*q**4 - 429*q**3 + 546*q**2 - 204*q + 24 = 0?
-2, 2/7, 1
Factor -a**3/10 - 62*a**2/5 - 363*a/10.
-a*(a + 3)*(a + 121)/10
Determine f, given that 3*f**3/2 - 9*f**2 + 33*f/2 - 9 = 0.
1, 2, 3
Factor -2*k**4/9 - 14*k**3/9 - 22*k**2/9 - 10*k/9.
-2*k*(k + 1)**2*(k + 5)/9
Let q**5/3 - 100*q**4 - 1823*q**3/3 - 1322*q**2 - 3668*q/3 - 408 = 0. Calculate q.
-2, -1, 306
Let -5*b**2 - 150*b + 875 = 0. Calculate b.
-35, 5
Factor h**2/3 + 1132*h/3 + 320356/3.
(h + 566)**2/3
Factor 1200*i**2/7 + 360*i/7 + 27/7.
3*(20*i + 3)**2/7
Determine j so that -j**5/3 + 7*j**4/3 - 11*j**3/3 - 7*j**2/3 + 4*j = 0.
-1, 0, 1, 3, 4
Let 18*y**5/5 + 114*y**4/5 - 172*y**3/5 - 1276*y**2/5 + 178*y - 30 = 0. What is y?
-5, 1/3, 3
Factor -2*s**4 + 6*s**3 - 6*s**2 + 2*s.
-2*s*(s - 1)**3
Let 2*k**3/9 - 2*k**2 - 44*k/3 - 112/9 = 0. What is k?
-4, -1, 14
Suppose 2*n**2/15 - 8*n/3 + 34/5 = 0. What is n?
3, 17
Solve 4*v**2 - 8*v + 4 = 0.
1
Suppose -4*y**4 - 1400*y**3 - 123892*y**2 - 243600*y - 121104 = 0. What is y?
-174, -1
What is k in 2*k**5 - 469*k**4/2 + 14037*k**3/2 - 8468*k**2 + 1682*k = 0?
0, 1/4, 1, 58
Factor -18*k**4 + 228*k**3 - 242*k**2 - 3040*k - 3200.
-2*(k - 8)**2*(3*k + 5)**2
Determine w, given that -w**2/7 - 18*w + 127/7 = 0.
-127, 1
Suppose -22*w**5 - 26*w**4 + 370*w**3 + 530*w**2 - 708*w - 144 = 0. Calculate w.
-3, -2/11, 1, 4
Factor 24*t**5 + 25*t**4 + t**3.
t**3*(t + 1)*(24*t + 1)
Solve 4*k**5 - 4*k**4 = 0 for k.
0, 1
Factor -w**3/5 + 146*w**2/5 + w/5 - 146/5.
-(w - 146)*(w - 1)*(w + 1)/5
Let 3*q**5/11 - 5*q**4/11 - 4*q**3/11 + 4*q**2/11 = 0. What is q?
-1, 0, 2/3, 2
Find n, given that 12*n**3 + 423*n**2 + 105*n = 0.
-35, -1/4, 0
Factor 2*h**3 - 44*h**2 + 230*h - 300.
2*(h - 15)*(h - 5)*(h - 2)
Find d such that 2*d**2/5 + 52*d/5 = 0.
-26, 0
Find u, given that -4*u**5 + 100*u**4 + 588*u**3 + 380*u**2 - 584*u - 480 = 0.
-4, -1, 1, 30
Factor -4*b**2 + 24*b - 36.
-4*(b - 3)**2
Factor -2*y**3 - 18*y**2 - 36*y.
-2*y*(y + 3)*(y + 6)
Determine f so that -3*f**2 - 2715*f + 8172 = 0.
-908, 3
Find v such that 2*v**5 + 22*v**4 + 60*v**3 - 112*v**2 - 704*v - 768 = 0.
-4, -2, 3
Suppose 2*x**2/3 + 4*x + 10/3 = 0. What is x?
-5, -1
Factor 5*o**2 - 52050*o + 135460125.
5*(o - 5205)**2
What is m in 2*m**3 - 92*m**2 + 1144*m - 1936 = 0?
2, 22
Factor -i**4 - 19*i**3 - 74*i**2 - 56*i.
-i*(i + 1)*(i + 4)*(i + 14)
Let -35*j**5 - 136*j**4 + 55*j**3 + 152*j**2 - 20*j - 16 = 0. What is j?
-4, -1, -2/7, 2/5, 1
Suppose 4*q**2 - 156*q + 432 = 0. Calculate q.
3, 36
Factor -4*g**3 + 8*g**2 + 36*g - 72.
-4*(g - 3)*(g - 2)*(g + 3)
Solve k**3/9 + 1433*k**2/9 - 478*k/3 = 0.
-1434, 0, 1
Factor -f**5 - 6*f**4 - 9*f**3 + 4*f**2 + 12*f.
-f*(f - 1)*(f + 2)**2*(f + 3)
Suppose 2*z**3 + 42*z**2 - 2*z - 42 = 0. What is z?
-21, -1, 1
Factor 4*l**4 - 56*l**3 - 60*l**2.
4*l**2*(l - 15)*(l + 1)
Determine f so that -f**4 + 7*f**3 - 15*f**2 + 9*f = 0.
0, 1, 3
Factor 2*q**5 + 20*q**4 + 26*q**3 - 48*q**2.
2*q**2*(q - 1)*(q + 3)*(q + 8)
What is k in -k**2 - 16*k = 0?
-16, 0
Factor 5*w**3 + 450*w**2 + 3360*w + 6560.
5*(w + 4)**2*(w + 82)
Solve 5*j**4 + 310*j**3 + 4805*j**2 = 0.
-31, 0
Factor 3*z**4 + 36*z**3 + 135*z**2 + 162*z.
3*z*(z + 3)**2*(z + 6)
Determine m so that m**3 + 365*m**2 + 1082*m - 1448 = 0.
-362, -4, 1
Factor -5*h**3 - 25*h**2 - 10*h + 40.
-5*(h - 1)*(h + 2)*(h + 4)
Find c such that 4*c**3/3 - 20*c**2/3 + 32*c/3 - 16/3 = 0.
1, 2
Factor 4*y**3/7 - 72*y**2/7 - 244*y/7 - 24.
4*(y - 21)*(y + 1)*(y + 2)/7
Factor 2*b**4 + 38*b**3 - 56*b**2 - 296*b + 480.
2*(b - 2)**2*(b + 3)*(b + 20)
Determine y so that 2*y**3/5 + 64*y**2/5 + 416*y/5 + 768/5 = 0.
-24, -4
Determine z so that -5*z**4 - 440*z**3 - 9675*z**2 + 440*z + 9680 = 0.
-44, -1, 1
Find l such that -4*l**2 + 8*l + 12 = 0.
-1, 3
Determine r, given that -3*r**5/2 + 9*r**4/2 + 75*r**3/2 + 75*r**2/2 - 36*r - 42 = 0.
-2, -1, 1, 7
Solve 3*h**2/8 - 159*h/4 + 8427/8 = 0.
53
Factor 5*j**3 - 180*j**2 + 325*j + 510.
5*(j - 34)*(j - 3)*(j + 1)
Let 2*i**5/19 + 40*i**4/19 + 24*i**3/19 - 268*i**2/19 - 26*i/19 + 12 = 0. Calculate i.
-19, -3, -1, 1, 2
Factor m**2 + 37*m + 160.
(m + 5)*(m + 32)
Factor g**3/5 + g**2 + 4*g/5.
g*(g + 1)*(g + 4)/5
Find i, given that -2*i**3/11 + 162*i**2/11 = 0.
0, 81
Determine j so that 5*j**2 - 10*j + 5 = 0.
1
Determine k, given that 4*k**2/7 + 52*k/7 = 0.
-13, 0
S