 0, 2
Factor f**2/2 + 702*f + 246402.
(f + 702)**2/2
What is y in -3*y**2/5 - 138*y - 7935 = 0?
-115
Factor 4*b**2 + 164*b + 1632.
4*(b + 17)*(b + 24)
Factor -2*d**2/9 - 220*d/9 + 1066/3.
-2*(d - 13)*(d + 123)/9
Factor 3*n**5 - 81*n**3 + 150*n**2 - 72*n.
3*n*(n - 4)*(n - 1)**2*(n + 6)
Suppose 2*k**5 + 8*k**4 - 66*k**3 - 8*k**2 + 64*k = 0. Calculate k.
-8, -1, 0, 1, 4
Suppose 4*f**3 - 76*f**2 + 256*f - 240 = 0. What is f?
2, 15
Factor -j**4/5 - 17*j**3/5 - 16*j**2/5.
-j**2*(j + 1)*(j + 16)/5
Solve 2*o**5/5 - 4*o**4 + 72*o**3/5 - 108*o**2/5 + 54*o/5 = 0 for o.
0, 1, 3
Suppose -4*d**2 - 36*d - 32 = 0. What is d?
-8, -1
Factor h**4/6 - 43*h**3/6 + 87*h**2 - 640*h/3 + 400/3.
(h - 20)**2*(h - 2)*(h - 1)/6
Determine d, given that -2*d**2/9 + 236*d/9 - 6962/9 = 0.
59
Find h such that -4*h**5 - 64*h**4 - 376*h**3 - 976*h**2 - 1060*h - 400 = 0.
-5, -4, -1
Factor 4*a**3 + 4*a**2 - 36*a - 36.
4*(a - 3)*(a + 1)*(a + 3)
Factor -2*v**2 - 20*v + 112.
-2*(v - 4)*(v + 14)
Determine s, given that 25*s**4 + 810*s**3 + 8320*s**2 + 28800*s + 10240 = 0.
-16, -8, -2/5
Suppose -b**4 - 183*b**3 + 559*b**2 + 183*b - 558 = 0. Calculate b.
-186, -1, 1, 3
Factor 2*z**2/5 - 8*z + 128/5.
2*(z - 16)*(z - 4)/5
Factor 5*i**4 + 325*i**3 + 2315*i**2 + 1995*i.
5*i*(i + 1)*(i + 7)*(i + 57)
Factor 5*t**2 + 33*t/4 + 13/4.
(t + 1)*(20*t + 13)/4
Factor -f**5 - 13*f**4 - 58*f**3 - 88*f**2 + 32*f + 128.
-(f - 1)*(f + 2)*(f + 4)**3
Find j, given that 2*j**4/11 + 152*j**3/11 + 146*j**2/11 - 300*j/11 = 0.
-75, -2, 0, 1
Factor -20*b**3/3 - 12248*b**2/3 - 625872*b - 249696.
-4*(b + 306)**2*(5*b + 2)/3
Determine c so that -2*c**4/11 + 16*c**3/11 + 382*c**2/11 - 36*c = 0.
-11, 0, 1, 18
Factor -3*t**2/5 + 1533*t/5 - 306.
-3*(t - 510)*(t - 1)/5
Factor -v**2/2 - 195*v - 38025/2.
-(v + 195)**2/2
Determine l so that 3*l**2 + 60*l + 108 = 0.
-18, -2
Solve -3*s**3/7 - 579*s**2/7 - 29853*s/7 - 25947 = 0 for s.
-93, -7
Factor 4*g**3 - 11*g**2 + 10*g - 3.
(g - 1)**2*(4*g - 3)
Find y such that y**2 - 178*y = 0.
0, 178
Find t such that 5*t**5 - 30*t**4 - 310*t**3 + 360*t**2 + 305*t - 330 = 0.
-6, -1, 1, 11
Find y such that -y**4/3 + 2842*y**3/3 + 5689*y**2/3 - 2842*y/3 - 1896 = 0.
-2, -1, 1, 2844
Factor 4*y**2 - 64*y + 60.
4*(y - 15)*(y - 1)
Factor 4*b**3 + 252*b**2 + 5292*b + 37044.
4*(b + 21)**3
Suppose 2*f**2/19 - 162*f/19 + 160/19 = 0. Calculate f.
1, 80
Factor 4*o**4/5 + 4*o**3/5 - 8*o**2/5.
4*o**2*(o - 1)*(o + 2)/5
Factor -3*f**2/8 - 2805*f/2 - 2622675/2.
-3*(f + 1870)**2/8
Solve -2*b**3/9 - 8*b**2/9 + 22*b/9 + 20/3 = 0 for b.
-5, -2, 3
Factor -2*j**3 - 156*j**2 + 990*j - 1512.
-2*(j - 3)**2*(j + 84)
Factor 4*h**2/3 + 1052*h/3.
4*h*(h + 263)/3
Solve 2*y**5/3 - 32*y**4/9 + 52*y**2/9 - 2*y/3 - 20/9 = 0.
-1, -2/3, 1, 5
Find y, given that -3*y**3/8 + 15*y**2/2 - 111*y/8 + 27/4 = 0.
1, 18
Determine p so that 2*p**3/5 + 6*p**2/5 - 48*p/5 - 32 = 0.
-4, 5
Factor -s**2 + 280*s + 2601.
-(s - 289)*(s + 9)
Factor -2*x**2/7 + 106*x/7 - 104/7.
-2*(x - 52)*(x - 1)/7
Factor s**2/9 + 2*s/3 - 40/9.
(s - 4)*(s + 10)/9
Let 5*z**3 + 15315*z**2 + 15310*z = 0. What is z?
-3062, -1, 0
Factor -50*s**3 - 8180*s**2 + 3278*s - 328.
-2*(s + 164)*(5*s - 1)**2
What is r in -4*r**3 - 204*r**2 + 2356*r - 5124 = 0?
-61, 3, 7
Let g**2 + 13*g - 30 = 0. What is g?
-15, 2
Factor 2*i**4/3 + 6*i**3 - 2*i**2 - 58*i/3 - 12.
2*(i - 2)*(i + 1)**2*(i + 9)/3
Factor -b**2/11 - 205*b/11 - 1576/11.
-(b + 8)*(b + 197)/11
Factor -2*j**2/9 - 10*j/3 - 28/9.
-2*(j + 1)*(j + 14)/9
Suppose -s**5 + 3*s**4/2 + 4*s**3 - 5*s**2/2 - 6*s - 2 = 0. What is s?
-1, -1/2, 2
Solve 2*z**3 + 190*z**2 = 0 for z.
-95, 0
Factor -5*u**2/2 - 15*u/2 - 5.
-5*(u + 1)*(u + 2)/2
Find i, given that -i**5/7 - 12*i**4 + 346*i**3/7 - 524*i**2/7 + 351*i/7 - 88/7 = 0.
-88, 1
Determine m, given that 4*m**5 + 2140*m**4 + 380200*m**3 + 22174520*m**2 - 45498220*m + 22941356 = 0.
-179, 1
Let 22*a**5/9 + 106*a**4/9 - 1142*a**3/9 - 790*a**2/3 + 448*a - 72 = 0. What is a?
-9, -3, 2/11, 1, 6
Factor -2*y**2 + 10*y.
-2*y*(y - 5)
Factor -2*a**4/7 + 10*a**3/7 + 48*a**2/7.
-2*a**2*(a - 8)*(a + 3)/7
Solve 12*y**5 + 15*y**4 - 9*y**3 - 15*y**2 - 3*y = 0 for y.
-1, -1/4, 0, 1
Factor z**3 - 3*z**2 - 94*z - 168.
(z - 12)*(z + 2)*(z + 7)
What is g in 2*g**4/11 - 30*g**3/11 + 70*g**2/11 + 30*g/11 - 72/11 = 0?
-1, 1, 3, 12
Let -2*w**4/5 + 24*w**3/5 + 6*w**2/5 - 68*w/5 - 48/5 = 0. What is w?
-1, 2, 12
Factor -6*w**3 + 75*w**2 - 36*w.
-3*w*(w - 12)*(2*w - 1)
Factor 2*m**3 - 6*m + 4.
2*(m - 1)**2*(m + 2)
Find j such that -3*j**3/2 - 3441*j**2/2 - 6873*j/2 - 3435/2 = 0.
-1145, -1
Determine r so that -4*r**4 - 4*r**3 + 84*r**2 + 164*r + 80 = 0.
-4, -1, 5
Find r, given that 3*r**5/5 + 39*r**4/5 + 183*r**3/5 + 381*r**2/5 + 354*r/5 + 24 = 0.
-5, -4, -2, -1
Solve 2*n**2 + 272*n + 9248 = 0 for n.
-68
Factor 2*o**3/9 + 52*o**2/9 + 142*o/9 + 92/9.
2*(o + 1)*(o + 2)*(o + 23)/9
Determine l, given that 42*l**3/5 + 66*l**2/5 - 36*l/5 = 0.
-2, 0, 3/7
Determine k, given that 3*k**4/7 - 111*k**3/7 + 108*k**2/7 = 0.
0, 1, 36
Factor 25*w**5 - 85*w**4 + 95*w**3 - 35*w**2.
5*w**2*(w - 1)**2*(5*w - 7)
Let -28*p**5 + 36*p**4 + 272*p**3 - 192*p**2 - 640*p + 192 = 0. What is p?
-2, 2/7, 2, 3
Factor 5*s**3 - 71*s**2/3 + 70*s/3 + 8.
(s - 3)*(s - 2)*(15*s + 4)/3
Factor 16*u**3 - 2692*u**2 + 113568*u - 28224.
4*(u - 84)**2*(4*u - 1)
Determine u so that -u**2/7 + 2631*u/7 = 0.
0, 2631
Determine w so that 4*w**5 - 20*w**3 + 16*w = 0.
-2, -1, 0, 1, 2
Let -159201*o**3/4 - 478401*o**2/2 - 2395*o - 6 = 0. Calculate o.
-6, -2/399
Factor m**4 + 32*m**3 - 33*m**2.
m**2*(m - 1)*(m + 33)
Solve v**2/9 - 286*v/9 + 20449/9 = 0.
143
Let 22*y**5 - 26*y**4 - 40*y**3 + 8*y**2 = 0. What is y?
-1, 0, 2/11, 2
Factor -2*m**3/13 + 32*m**2/13 + 72*m/13.
-2*m*(m - 18)*(m + 2)/13
Solve -15*u**3 - 9*u**2 + 6*u = 0 for u.
-1, 0, 2/5
Factor -4*i**2 + 268*i + 272.
-4*(i - 68)*(i + 1)
Determine h so that 3*h**2/4 - 624*h + 129792 = 0.
416
Determine d, given that 2*d**5/5 + 22*d**4/5 - 112*d**3/5 + 24*d**2 = 0.
-15, 0, 2
Factor 10*i**3 + 134*i**2 - 88*i - 56.
2*(i - 1)*(i + 14)*(5*i + 2)
Suppose 4*s**3/7 + 40*s**2/7 + 132*s/7 + 144/7 = 0. What is s?
-4, -3
Factor w**4/3 + 2*w**3/3 - w**2.
w**2*(w - 1)*(w + 3)/3
Solve -2*j**3/7 - 72*j**2/7 + 410*j/7 = 0 for j.
-41, 0, 5
Factor 4*i**5 - 44*i**4 + 36*i**3 + 476*i**2 + 392*i.
4*i*(i - 7)**2*(i + 1)*(i + 2)
Factor 12*h**5 - 63*h**4 + 123*h**3 - 111*h**2 + 45*h - 6.
3*(h - 2)*(h - 1)**3*(4*h - 1)
Suppose -4*o**5/5 - 132*o**4/5 - 264*o**3 - 3248*o**2/5 + 4704*o/5 = 0. What is o?
-14, -6, 0, 1
What is q in -3*q**4/4 - 9*q**3 - 51*q**2/4 + 45*q/2 = 0?
-10, -3, 0, 1
Suppose c**3/6 - 6*c**2 + 94*c/3 - 40 = 0. What is c?
2, 4, 30
Factor -48*c**4 + 264*c**3 - 364*c**2 - 1690*c/9 + 4394/9.
-2*(c + 1)*(6*c - 13)**3/9
Factor -2*o**2 + 70*o.
-2*o*(o - 35)
Factor -2*t**2 + 48*t + 770.
-2*(t - 35)*(t + 11)
Solve -2*m**2 + 20*m - 32 = 0.
2, 8
Factor -2*k**3 + 18*k**2 + 162*k + 270.
-2*(k - 15)*(k + 3)**2
Solve 55*x**4 + 230*x**3 + 315*x**2 + 160*x + 20 = 0.
-2, -1, -2/11
Factor 6*r**3/7 + 6*r**2/7 - 54*r/7 - 54/7.
6*(r - 3)*(r + 1)*(r + 3)/7
Factor f**3/7 + 19*f**2/7 + 104*f/7 + 20.
(f + 2)*(f + 7)*(f + 10)/7
Factor -2*q**2/9 + 266*q/9 - 524/9.
-2*(q - 131)*(q - 2)/9
Determine h so that h**2/4 - 17*h/4 + 15 = 0.
5, 12
Find f such that -f**5/6 + 17*f**4/6 + 19*f**3/2 + 59*f**2/6 + 10*f/3 = 0.
-1, 0, 20
Suppose 2*k**4/15 - 8*k**3/5 + 34*k**2/15 + 4*k = 0. Calculate k.
-1, 0, 3, 10
Solve 4*g**4/5 - 12*g**2/5 + 8*g/5 = 0 for g.
-2, 0, 1
Factor -n**4 - 32*n**3 - 325*n**2 - 1014*n.
-n*(n + 6)*(n + 13)**2
Suppose -2*o**5 + 29*o**4 + 168*o**3 + 61*o**2 - 76*o = 0. Calculate o.
-4, -1, 0, 1/2, 19
Factor -3*z**3/2 + 507*z**2/2 - 22161*z/2 + 62001/2.
-3*(z - 83)**2*(z - 3)/2
Factor -21*m**3 + 1245*m**2 + 906*m - 360.
-3*(m - 60)*(m + 1)*(7*m - 2)
Factor -3*k**4 + 51*k**3 - 42*k**2 - 96*k.
-3*k*(k - 16)*(k - 2)*(k + 1)
Solve -870*g**5/11 + 368*g**4/11 - 8*g**3/11 = 0.
0, 2/87, 2/5
Factor -2*d**4 + 26*d**3 + 759*d**2/2 - 3016*d - 26912.
-(d + 8)**2*(2*d - 29)**2/2
Determine o, given that o**2/5 - 32*o + 1280 = 0.
80
Solve -n**5/10 - 27*n**4/10 - 5*n**3 = 0.
-25, -2, 0
Suppose 5*s**4 + 905*s**3 + 42275*s**2 + 118815*s = 0. Calculate s.
-89, -3, 0
Suppose 2*w**5/3 + 14*w**4/3 + 4*w**3 = 0. What is w?
-6, -1, 0
Factor 4*v**3 + 392*v**2 + 1100*v - 38