d**2 + 712*d + 32 = 0.
-2, -1, -2/41, 4
Factor 2*n**2/21 - 2*n/3 - 96/7.
2*(n - 16)*(n + 9)/21
Suppose -4*m**4 - 124*m**3 - 1092*m**2 - 3620*m - 3800 = 0. What is m?
-19, -5, -2
Determine r so that 4*r**4/7 + 40*r**3/7 - 100*r**2/7 - 40*r/7 + 96/7 = 0.
-12, -1, 1, 2
Suppose 3*p**4/8 - 21*p**3/4 + 195*p**2/8 - 93*p/2 + 63/2 = 0. Calculate p.
2, 3, 7
Determine j so that -14*j**4/9 + 178*j**3/9 - 368*j**2/9 - 40*j/3 = 0.
-2/7, 0, 3, 10
Factor -j**4 + 33*j**3 - 242*j**2.
-j**2*(j - 22)*(j - 11)
Determine b, given that -18*b**3/17 - 14*b**2/17 + 40*b/17 - 8/17 = 0.
-2, 2/9, 1
Solve 42*r**5/17 + 1090*r**4/17 + 3780*r**3/17 + 2840*r**2/17 + 528*r/17 = 0.
-22, -3, -2/3, -2/7, 0
Let -4*c**5/3 + 8*c**4/3 + 64*c**3/3 - 8*c**2/3 - 20*c = 0. What is c?
-3, -1, 0, 1, 5
Solve 2*k**2/11 + 12*k/11 - 10 = 0.
-11, 5
Factor 2*k**3/7 - 2*k**2/7.
2*k**2*(k - 1)/7
Factor 2*c**4 - 42*c**3 + 250*c**2 - 582*c + 468.
2*(c - 13)*(c - 3)**2*(c - 2)
Find v such that v**2/7 + 15*v/7 + 36/7 = 0.
-12, -3
Let -2*d**3 - 58*d**2 - 110*d - 54 = 0. What is d?
-27, -1
Factor -i**3 + 37*i**2 - 239*i + 203.
-(i - 29)*(i - 7)*(i - 1)
Solve 2*m**3/3 + 86*m**2/3 - 178*m/3 + 30 = 0.
-45, 1
Factor 3*d**3/5 + 66*d**2/5.
3*d**2*(d + 22)/5
Factor d**2/3 + 145*d + 866/3.
(d + 2)*(d + 433)/3
Factor 2*j**2/21 - 22*j/21.
2*j*(j - 11)/21
Factor 7*w**3/3 + 16*w**2/3 + 11*w/3 + 2/3.
(w + 1)**2*(7*w + 2)/3
Factor -4*z**3/7 - 652*z**2/7 + 4*z/7 + 652/7.
-4*(z - 1)*(z + 1)*(z + 163)/7
Solve 3*m**5 + 54*m**4 - 195*m**3 - 90*m**2 + 732*m - 504 = 0 for m.
-21, -2, 1, 2
Let -2*k**2/19 + 556*k/19 - 38642/19 = 0. What is k?
139
Factor z**3/3 + 29*z**2/3 + 104*z/3 + 100/3.
(z + 2)**2*(z + 25)/3
What is r in r**3 + 2*r**2 - 11*r - 12 = 0?
-4, -1, 3
Factor -3*a**4 + 3*a**3 + 21*a**2 - 39*a + 18.
-3*(a - 2)*(a - 1)**2*(a + 3)
Factor 189*q**2 - 2274*q + 72.
3*(q - 12)*(63*q - 2)
Suppose 3*s**2 - 627*s + 624 = 0. What is s?
1, 208
Factor d**4/2 - 37*d**3 + 2029*d**2/2 - 12210*d + 54450.
(d - 22)**2*(d - 15)**2/2
Factor 40*l**4 - 175*l**3 + 180*l**2 - 45*l.
5*l*(l - 3)*(l - 1)*(8*l - 3)
Factor -4*t**4 + 88*t**3 - 272*t**2 - 2392*t - 2028.
-4*(t - 13)**2*(t + 1)*(t + 3)
Factor -8*o**5 + 50*o**4 - 84*o**3 + 18*o**2.
-2*o**2*(o - 3)**2*(4*o - 1)
Determine v so that -2*v**5/5 + 48*v**4/5 - 82*v**3 + 1428*v**2/5 - 1568*v/5 = 0.
0, 2, 7, 8
Determine q so that 2*q**4 + 8*q**3 - 10*q**2 = 0.
-5, 0, 1
Factor 45*z**5 - 140*z**4 + 150*z**3 - 60*z**2 + 5*z.
5*z*(z - 1)**3*(9*z - 1)
Factor -r**5 + 111*r**4 + 808*r**3 + 2104*r**2 + 2352*r + 944.
-(r - 118)*(r + 1)*(r + 2)**3
Factor 2*v**2/3 + 6064*v/3 + 4596512/3.
2*(v + 1516)**2/3
Factor 3*w**3 + 291*w**2 + 9288*w + 97200.
3*(w + 25)*(w + 36)**2
Solve -3*b**4/4 - 261*b**3/2 + 1587*b**2/4 - 531*b/2 = 0.
-177, 0, 1, 2
Factor -2*m**2/5 - 424*m/5 - 168.
-2*(m + 2)*(m + 210)/5
Solve 4*f**4/5 + 732*f**3/5 + 144*f**2 - 1456*f/5 = 0.
-182, -2, 0, 1
Factor -p**3/3 - 106*p**2/3 - 703*p/3 - 330.
-(p + 2)*(p + 5)*(p + 99)/3
Factor -2*h**2/3 + 1030*h/3 + 1036.
-2*(h - 518)*(h + 3)/3
Factor 9*w**3 + 492*w**2 - 171*w - 330.
3*(w - 1)*(w + 55)*(3*w + 2)
Factor -2*m**3/3 - 8*m**2/3 - 8*m/3.
-2*m*(m + 2)**2/3
Solve j**3/4 + 189*j**2/4 + 93*j/2 - 94 = 0.
-188, -2, 1
Solve 5*w**3 + 190*w**2 + 825*w = 0.
-33, -5, 0
Factor 4*f**2 + 616*f - 5184.
4*(f - 8)*(f + 162)
Factor 15*k**3/2 - 642*k**2 + 27219*k/2 + 5547.
3*(k - 43)**2*(5*k + 2)/2
Suppose 3*f**5/2 + 57*f**4 + 111*f**3/2 = 0. Calculate f.
-37, -1, 0
Let 4*w**2 + 12*w + 5 = 0. What is w?
-5/2, -1/2
Factor a**2 + 17*a - 60.
(a - 3)*(a + 20)
What is n in -n**5 + 7*n**4 - 10*n**3 - 2*n**2 + 11*n - 5 = 0?
-1, 1, 5
Find n, given that 2*n**5/5 + 616*n**4/5 - 498*n**3 + 376*n**2 + 2488*n/5 - 2496/5 = 0.
-312, -1, 1, 2
Factor -b**3/2 - 9*b**2 - 54*b - 108.
-(b + 6)**3/2
Factor z**4/4 - z**3/4 - z**2/4 + z/4.
z*(z - 1)**2*(z + 1)/4
Determine j, given that 3*j**3/5 - 18*j**2/5 = 0.
0, 6
Factor c**2 + 822*c + 1640.
(c + 2)*(c + 820)
Let 5*y**3 - 15*y**2 - 80*y - 60 = 0. Calculate y.
-2, -1, 6
Factor -y**5 - 4*y**4 - 3*y**3 + 4*y**2 + 4*y.
-y*(y - 1)*(y + 1)*(y + 2)**2
Find z such that -4*z**2 - 7584*z - 3594816 = 0.
-948
Suppose 2*o**5 - 72*o**4 + 698*o**3 - 1188*o**2 + 560*o = 0. Calculate o.
0, 1, 14, 20
Factor 3*l**4 + 984*l**3 - 11115*l**2 + 24516*l + 36612.
3*(l - 6)**2*(l + 1)*(l + 339)
Determine j, given that -2*j**4/3 + 6*j**3 - 4*j**2/3 - 32*j = 0.
-2, 0, 3, 8
Solve 2*k**2/13 + 1088*k/13 - 168 = 0.
-546, 2
Factor 40*d**3 + 65*d**2 + 25*d.
5*d*(d + 1)*(8*d + 5)
Factor 4*l**3 + 1296*l**2 + 5136*l + 5120.
4*(l + 2)**2*(l + 320)
Factor 3*o**4 - 27*o**3 + 45*o**2 - 21*o.
3*o*(o - 7)*(o - 1)**2
Suppose -2*x**2/9 - 4*x/3 + 14/9 = 0. Calculate x.
-7, 1
Determine i, given that -2*i**4 - i**3 + 2*i**2 + i = 0.
-1, -1/2, 0, 1
Solve 100*d**4 - 7080*d**3 + 128116*d**2 - 99120*d + 19600 = 0.
2/5, 35
Find r, given that -105*r**5 + 65*r**4 + 95*r**3 - 65*r**2 + 10*r = 0.
-1, 0, 2/7, 1/3, 1
Find d, given that -16*d**3/11 + 232*d**2/11 - 113*d/11 + 14/11 = 0.
1/4, 14
Let 4*n**2/3 + 688*n/3 + 896 = 0. Calculate n.
-168, -4
Let 22*k**4/19 + 1118*k**3/19 + 15636*k**2/19 + 35136*k/19 - 6912/19 = 0. What is k?
-24, -3, 2/11
Factor -2*p**2 - 9276*p - 10755522.
-2*(p + 2319)**2
Factor 5*h**5/3 - 95*h**4/3 + 710*h**3/3 - 870*h**2 + 1575*h - 1125.
5*(h - 5)**2*(h - 3)**3/3
Factor -9*x**3 - 78*x**2 - 111*x - 42.
-3*(x + 1)*(x + 7)*(3*x + 2)
Suppose -3*c**2/4 + 1725*c/4 - 861/2 = 0. Calculate c.
1, 574
Factor -3*d**5 + 42*d**4 - 216*d**3 + 480*d**2 - 384*d.
-3*d*(d - 4)**3*(d - 2)
Factor 1225*z**2 - 35*z + 1/4.
(70*z - 1)**2/4
Solve -4*c**3/5 - 4*c**2/5 + 48*c/5 = 0.
-4, 0, 3
Factor -2*b**3 + 20*b**2 + 46*b + 24.
-2*(b - 12)*(b + 1)**2
Factor 2*p**5/9 + 56*p**4/9 + 194*p**3/9 - 2668*p**2/9 + 6392*p/9 - 4624/9.
2*(p - 2)**3*(p + 17)**2/9
Determine q, given that -2*q**4 - 24*q**3 - 20*q**2 + 24*q + 22 = 0.
-11, -1, 1
What is p in -2*p**2 + 2004*p - 2002 = 0?
1, 1001
Suppose 2*z**2/3 + 48*z + 864 = 0. What is z?
-36
Factor -n**2/3 + 11*n/3 + 14.
-(n - 14)*(n + 3)/3
Factor t**2/8 + 41*t/8 - 33/2.
(t - 3)*(t + 44)/8
Factor i**4/5 - 2*i**3/5 - 27*i**2/5 - 52*i/5 - 28/5.
(i - 7)*(i + 1)*(i + 2)**2/5
Factor p**3/2 - 11*p**2 - 233*p/2 - 105.
(p - 30)*(p + 1)*(p + 7)/2
Factor 5*l**2 - 30*l - 80.
5*(l - 8)*(l + 2)
Let -9*a**3 + 1419*a**2 - 943*a + 157 = 0. Calculate a.
1/3, 157
Factor -231*u**2 + 6*u.
-3*u*(77*u - 2)
Suppose 3*x**3/2 - 75*x**2/2 + 141*x/2 - 69/2 = 0. Calculate x.
1, 23
Determine m, given that -6*m**5/5 + 56*m**4/5 + 112*m**3/5 - 1548*m**2/5 + 406*m/5 + 196 = 0.
-5, -2/3, 1, 7
Let -3*o**4/7 - 2*o**3/7 = 0. What is o?
-2/3, 0
Solve 5*s**3 + 110*s**2 - 795*s + 1260 = 0.
-28, 3
Determine j so that -2*j**4 - 8*j**3 - 12*j**2 - 8*j - 2 = 0.
-1
Factor -g**4 - 30*g**3 + 204*g**2 + 13294*g + 103173.
-(g - 21)*(g + 17)**3
Factor 5*q**3 - 585*q**2.
5*q**2*(q - 117)
Solve -5*c**3 - 75*c**2 - 180*c = 0 for c.
-12, -3, 0
Let 242*x**5/7 - 54120*x**4/7 + 3069426*x**3/7 - 4841836*x**2/7 - 2066376*x/7 - 197136/7 = 0. What is x?
-2/11, 2, 111
Factor -22*t**2 + 6032*t - 1096.
-2*(t - 274)*(11*t - 2)
Suppose 2*g**2/9 + 10*g/9 - 56/3 = 0. What is g?
-12, 7
Let 5*w**5/3 - 32*w**4/3 + 37*w**3/3 - 10*w**2/3 = 0. What is w?
0, 2/5, 1, 5
Let z**4 + 6*z**3 - z**2 - 30*z = 0. Calculate z.
-5, -3, 0, 2
Suppose 5*w**3 + 380*w**2 - 395*w - 770 = 0. Calculate w.
-77, -1, 2
Factor -5*h**3 - 80*h**2 - 315*h.
-5*h*(h + 7)*(h + 9)
Factor -3*w**4 - 15*w**3 + 39*w**2 - 21*w.
-3*w*(w - 1)**2*(w + 7)
Solve -45*u**4 - 84*u**3 + 690*u**2 - 84*u - 45 = 0.
-5, -1/5, 1/3, 3
Factor -28*h**2 - 16080*h - 4592.
-4*(h + 574)*(7*h + 2)
Factor -4*u**2 - 884*u - 5992.
-4*(u + 7)*(u + 214)
Determine k, given that -14*k**2 - 204*k - 112 = 0.
-14, -4/7
Determine t, given that t**5 - 5*t**4 - 174*t**3 - 968*t**2 - 1952*t - 1152 = 0.
-4, -1, 18
Find n such that 5*n**4 + 1075*n**3 - 15*n**2 - 3215*n + 2150 = 0.
-215, -2, 1
Solve -2*w**5/5 - 6*w**4/5 + 12*w**3/5 + 16*w**2/5 = 0.
-4, -1, 0, 2
Factor 3*y**4/2 - 423*y**3/2 - 429*y**2.
3*y**2*(y - 143)*(y + 2)/2
What is j in -2*j**4 - 188*j**3/3 - 838*j**2/3 - 136*j/3 + 520/3 = 0?
-26, -5, -1, 2/3
Determine d, given that 3*d**3 - 30*d**2 + 69*d - 42 = 0.
1, 2, 7
Suppose -5*j**5/4 + 395*j**4/4 - 7595*j**3/4 - 8395*j**2/4 + 1900*j + 2000 = 0. Calculate j.
-1, 1, 40
Solve 5*d**2/