3 + 37*f**4/3 - 253*f**3/3 + 215*f**2/3 = 0.
-43, 0, 1, 5
Suppose 2*i**2/3 - 10*i/3 - 4 = 0. What is i?
-1, 6
Factor p**2 + 182*p - 368.
(p - 2)*(p + 184)
Factor 3*x**5 - 483*x**4 + 957*x**3 - 477*x**2.
3*x**2*(x - 159)*(x - 1)**2
Suppose 4*n**4 - 44*n**3 + 72*n**2 + 432*n - 864 = 0. What is n?
-3, 2, 6
Factor 5*y**3 - 100*y**2 + 500*y.
5*y*(y - 10)**2
What is l in -2*l**2 - 968*l - 117128 = 0?
-242
What is u in -2*u**3/7 + 106*u**2/7 + 220*u/7 = 0?
-2, 0, 55
Factor 3*g**4 - 2*g**3 - 19*g**2 - 6*g.
g*(g - 3)*(g + 2)*(3*g + 1)
Find u such that -25*u**2/3 - 35*u + 130/3 = 0.
-26/5, 1
Factor w**3/7 + 16*w**2/7 + 85*w/7 + 150/7.
(w + 5)**2*(w + 6)/7
Factor 20*r**4 - 112*r**3 + 140*r**2 - 48*r.
4*r*(r - 4)*(r - 1)*(5*r - 3)
What is l in 242*l**4/5 - 88*l**3/5 - 3864*l**2/5 + 1408*l/5 - 128/5 = 0?
-4, 2/11, 4
Factor 2*r**4/7 + 32*r**3/7.
2*r**3*(r + 16)/7
Suppose -g**3 + 9*g**2 + 376*g - 384 = 0. What is g?
-16, 1, 24
Factor -2*p**4 - 304*p**3 - 11844*p**2 - 21600*p + 33750.
-2*(p - 1)*(p + 3)*(p + 75)**2
Solve 15*j**5 + 234*j**4 + 474*j**3 - 468*j**2 - 489*j + 234 = 0.
-13, -3, -1, 2/5, 1
Find b, given that -b**2/4 + 27*b/4 + 7 = 0.
-1, 28
Factor -o**2/3 - 56*o/3 - 36.
-(o + 2)*(o + 54)/3
Suppose x**2 - 411*x - 826 = 0. What is x?
-2, 413
Factor 2*t**4/9 + 40*t**3/9 - 46*t**2/3.
2*t**2*(t - 3)*(t + 23)/9
Let 2*a**2/3 + 3070*a/3 - 1024 = 0. Calculate a.
-1536, 1
Factor 3*s**2 - 618*s + 31827.
3*(s - 103)**2
Let 3*z**5/2 + 681*z**4/2 + 24567*z**3 + 467601*z**2 - 13386945*z/2 + 36977925/2 = 0. Calculate z.
-79, 5
Determine u so that 2*u**5/13 - 20*u**4/13 + 12*u**3/13 + 64*u**2/13 - 94*u/13 + 36/13 = 0.
-2, 1, 9
Factor -2*s**3/3 + 527*s**2/3 + 88*s.
-s*(s - 264)*(2*s + 1)/3
Factor 3*s**4 + 15*s**3 + 18*s**2.
3*s**2*(s + 2)*(s + 3)
Find v, given that -v**2 + 774*v - 1544 = 0.
2, 772
Factor 3*a**2 + 54*a - 57.
3*(a - 1)*(a + 19)
Determine i so that 5*i**5 - 50*i**4 + 105*i**3 + 340*i**2 - 1360*i + 960 = 0.
-3, 1, 4
Find b, given that 2*b**5 + 44*b**4 + 280*b**3 + 400*b**2 = 0.
-10, -2, 0
Factor -2*u**3 + 66*u**2 - 64*u.
-2*u*(u - 32)*(u - 1)
Find i such that -4*i**5 + 52*i**4 + 180*i**3 - 916*i**2 + 160*i + 1200 = 0.
-5, -1, 2, 15
Factor -4*b**3 + 48*b**2.
-4*b**2*(b - 12)
Factor -5*l**2 + 5.
-5*(l - 1)*(l + 1)
Factor 2*g**2/15 + 14*g/15 + 4/3.
2*(g + 2)*(g + 5)/15
Solve -3*d**2 - 25*d - 52 = 0.
-13/3, -4
Let 4*b**3 - 180*b**2 + 344*b = 0. What is b?
0, 2, 43
Factor 2*p**2 + 18*p - 44.
2*(p - 2)*(p + 11)
What is v in -14*v**2 + 292*v + 42 = 0?
-1/7, 21
Suppose 40*g**5 - 820*g**4 + 8765*g**3/2 - 3305*g**2/2 - 1700*g - 250 = 0. What is g?
-1/4, 1, 10
Find a, given that 3*a**2/4 - 123*a/2 + 5043/4 = 0.
41
Factor 5*v**4 + 120*v**3 - 60*v**2 - 1360*v + 1920.
5*(v - 2)**2*(v + 4)*(v + 24)
Determine u, given that 9*u**5/4 - 4251*u**4/4 + 1414*u**3 - 471*u**2 = 0.
0, 2/3, 471
Find f, given that f**3/4 + 43*f**2 = 0.
-172, 0
Suppose 2*r**3/7 - 386*r**2/7 + 384*r/7 = 0. Calculate r.
0, 1, 192
Factor 3*h**4/4 + 3*h**3/4 - 39*h**2/4 - 75*h/4 - 9.
3*(h - 4)*(h + 1)**2*(h + 3)/4
Let -g**4 - 12*g**3 - 48*g**2 - 64*g = 0. What is g?
-4, 0
Factor -3*c**2 + 588*c - 28812.
-3*(c - 98)**2
Solve -2*j**5 + 816*j**4/5 - 20682*j**3/5 + 163796*j**2/5 - 74424*j - 35280 = 0 for j.
-2/5, 6, 35
Factor 2*r**5/15 - 4*r**4/5 + 6*r**3/5 - 8*r**2/15.
2*r**2*(r - 4)*(r - 1)**2/15
Factor -2*q**3/9 - 2*q**2/3 + 32*q/9 - 8/3.
-2*(q - 2)*(q - 1)*(q + 6)/9
Factor -2*y**4 - 66*y**3 - 576*y**2 - 1576*y - 1344.
-2*(y + 2)**2*(y + 8)*(y + 21)
Factor -3*o**3 - 84*o**2 + 93*o + 174.
-3*(o - 2)*(o + 1)*(o + 29)
Factor 4*p**3 + 76*p**2 - 4*p - 76.
4*(p - 1)*(p + 1)*(p + 19)
Find t such that 4*t**2 - 44*t - 9288 = 0.
-43, 54
Factor -i**2 + 20511*i/4 + 1282.
-(i - 5128)*(4*i + 1)/4
Factor 49*x**4 - 399*x**3 + 23*x**2 + 255*x + 72.
(x - 8)*(x - 1)*(7*x + 3)**2
Factor 2*j**3 + 214*j**2 + 6032*j + 16224.
2*(j + 3)*(j + 52)**2
Suppose 605*n**3 + 2970*n**2 + 4800*n + 2560 = 0. What is n?
-2, -16/11
Factor 3*b**3 + 30*b**2 - 147*b - 390.
3*(b - 5)*(b + 2)*(b + 13)
Let -3*v**2 + 138*v - 504 = 0. Calculate v.
4, 42
Find h such that 2*h**2/3 - 22*h - 68/3 = 0.
-1, 34
Factor f**5/2 - f**4/2 - f**3/2 + f**2/2.
f**2*(f - 1)**2*(f + 1)/2
Factor -i**2/3 - 213*i + 640/3.
-(i - 1)*(i + 640)/3
Let 14*x**4/11 + 76*x**3/11 + 2*x**2 - 40*x/11 = 0. What is x?
-5, -1, 0, 4/7
Factor f**3/7 - 3*f**2/7 - 73*f/7 - 165/7.
(f - 11)*(f + 3)*(f + 5)/7
Find x, given that -x**3 - 41*x**2 - 399*x + 441 = 0.
-21, 1
Factor 2*m**3/15 - 16*m**2/15 - 122*m/15 - 104/15.
2*(m - 13)*(m + 1)*(m + 4)/15
Factor -4*f**3/3 + 196*f**2/3 - 380*f/3 + 188/3.
-4*(f - 47)*(f - 1)**2/3
Solve -2*a**3/3 - 14*a**2/3 + 46*a - 78 = 0.
-13, 3
Solve 2*n**3/19 + 36*n**2/19 = 0 for n.
-18, 0
Factor a**2/8 + 25*a/2 + 625/2.
(a + 50)**2/8
Factor 2*h**2/11 - 11096*h/11 + 15390152/11.
2*(h - 2774)**2/11
Find x, given that -5*x**4 + 75*x**3 + 365*x**2 + 285*x = 0.
-3, -1, 0, 19
Suppose p**5 - 5*p**4 - 41*p**3 - 83*p**2 - 68*p - 20 = 0. What is p?
-2, -1, 10
Factor 5*a**2 + 2890*a + 417605.
5*(a + 289)**2
What is j in 4*j**2 + 144*j + 620 = 0?
-31, -5
Let 4*l**2/5 + 16*l + 144/5 = 0. Calculate l.
-18, -2
Solve -7*s**5 + 99*s**4 - 245*s**3 - 751*s**2 - 336*s + 64 = 0 for s.
-1, 1/7, 8
Determine m so that 2*m**5/5 + 36*m**4/5 + 106*m**3/5 - 112*m**2/5 - 408*m/5 - 224/5 = 0.
-14, -4, -1, 2
What is g in -36*g**2/5 + 5084*g/5 - 1128/5 = 0?
2/9, 141
Determine a so that 6*a**2 + 110*a - 76 = 0.
-19, 2/3
Find g such that -g**2/5 + 52*g/5 - 51/5 = 0.
1, 51
Suppose 3*z**3 + 255*z**2 - 522*z = 0. What is z?
-87, 0, 2
Find j, given that -10*j**4 + 12*j**3 + 8*j**2 - 12*j + 2 = 0.
-1, 1/5, 1
Factor -f**3 - 18*f**2 - 15*f + 34.
-(f - 1)*(f + 2)*(f + 17)
Determine o, given that 2*o**2/5 - 178*o/5 - 552/5 = 0.
-3, 92
Factor -5*z**2 + 780*z - 30420.
-5*(z - 78)**2
Determine c so that c**3/3 - 115*c**2/3 - 4*c/3 + 460/3 = 0.
-2, 2, 115
Factor -d**2 - 3*d.
-d*(d + 3)
Factor -3*k**4 - 21*k**3 - 45*k**2 - 39*k - 12.
-3*(k + 1)**3*(k + 4)
Suppose -5*k**2/2 + 245*k - 12005/2 = 0. What is k?
49
Factor -25*g**2 + 80*g - 15.
-5*(g - 3)*(5*g - 1)
Factor -2*x**3 - 40*x**2 - 74*x - 36.
-2*(x + 1)**2*(x + 18)
Determine z so that 2*z**3/11 + 794*z**2/11 - 796*z/11 = 0.
-398, 0, 1
Suppose 5*u**4 - 15*u**3 - 90*u**2 - 20*u + 120 = 0. What is u?
-2, 1, 6
Factor 5*a**2 + 45*a - 110.
5*(a - 2)*(a + 11)
Determine p so that -3*p**2 + 8013*p + 8016 = 0.
-1, 2672
Factor 2*z**4 + 606*z**3 + 57876*z**2 + 1370792*z - 35730480.
2*(z - 15)*(z + 106)**3
Solve -x**3/5 + 17*x**2/5 - 16*x/5 = 0.
0, 1, 16
Factor -3*l**3/7 - 87*l**2/7 - 153*l/7 + 243/7.
-3*(l - 1)*(l + 3)*(l + 27)/7
Find f such that 4*f**3 - 220*f**2 + 428*f - 212 = 0.
1, 53
Factor -t**2/3 - 16160*t/3 - 65286400/3.
-(t + 8080)**2/3
Factor -3*z**5 - 3*z**4 + 9*z**3 + 15*z**2 + 6*z.
-3*z*(z - 2)*(z + 1)**3
Factor 5*r**3 + 20*r**2 - 455*r - 2450.
5*(r - 10)*(r + 7)**2
Suppose 4*n**5/3 + 80*n**4/9 - 76*n**3/9 - 320*n**2/9 + 112*n/9 = 0. What is n?
-7, -2, 0, 1/3, 2
Factor m**4/3 + 12*m**3 + 388*m**2/3 + 384*m + 1024/3.
(m + 2)**2*(m + 16)**2/3
Solve n**2/5 - 94*n/5 + 93/5 = 0.
1, 93
Find h, given that h**4 + 257*h**3 + 765*h**2 + 763*h + 254 = 0.
-254, -1
Suppose 2*f**3/7 - 50*f**2/7 + 32*f + 168 = 0. Calculate f.
-3, 14
Find i such that 3*i**3 + 9*i**2 - 27*i + 15 = 0.
-5, 1
What is t in 36*t**2/5 + 24*t/5 + 4/5 = 0?
-1/3
Suppose m**2/8 - 19*m/4 + 361/8 = 0. Calculate m.
19
Find u such that -4*u**3 - 16*u**2 + 44*u - 24 = 0.
-6, 1
Let 3*d**5 - 3*d**4 - 9*d**3 + 3*d**2 + 6*d = 0. What is d?
-1, 0, 1, 2
What is f in -7*f**4/4 - 43*f**3/4 - 27*f**2/4 + 67*f/4 + 5/2 = 0?
-5, -2, -1/7, 1
Find i, given that -5*i**2/3 - 11120*i - 18548160 = 0.
-3336
Factor -f**2/3 + 3*f - 8/3.
-(f - 8)*(f - 1)/3
Factor -h**4 + 5*h**3 + h**2 - 5*h.
-h*(h - 5)*(h - 1)*(h + 1)
Factor -2*a**3/3 + 944*a**2/3 + 950*a/3 - 1892/3.
-2*(a - 473)*(a - 1)*(a + 2)/3
Factor -6*r**4/5 + 30*r**3 - 282*r**2/5 + 138*r/5.
-6*r*(r - 23)*(r - 1)**2/5
Find n, given that 2401*n**5/4 - 2597*n**4/4 - 2201*n**3/4 + 2593*n**2/4 - 50*n + 1 = 0.
-1, 2/49, 1
Suppose -f**3/4 - 77*f**2/4 - 380*f - 361 = 0. What is f?
-38, -1
Suppose -a**3/2 - 47*a**2/2 - 88*a - 86 = 0. What is a?
-43, -2
Solve 2*c**5/7 + 20*c**4/7 - 6*c**3/7 - 64*c**2/7 - 40*c/7 = 0 for c.
-10, -1, 0, 2
Suppose p**4/7 - 15*p**3/7 + 39*p**