121*z**3 - 220*z**2 + 124*z - 16 = 0. Calculate z.
-4, 2/11, 1, 2
Determine m, given that -2*m**3 + 200*m**2 + 8*m - 800 = 0.
-2, 2, 100
Factor k**2/3 + 116*k + 10092.
(k + 174)**2/3
Factor -q**3/2 - 2*q**2 + q/2 + 2.
-(q - 1)*(q + 1)*(q + 4)/2
Let 4*y**2 + 36*y + 56 = 0. Calculate y.
-7, -2
Find q, given that q**4/5 + 72*q**3/5 + 69*q**2/5 - 142*q/5 = 0.
-71, -2, 0, 1
Determine m so that m**4/4 - 3*m**3/2 + m**2/4 + 6*m - 5 = 0.
-2, 1, 2, 5
Factor 2*w**4/5 - 64*w**2/5 + 512/5.
2*(w - 4)**2*(w + 4)**2/5
Solve -16*i**5 + 52*i**4 - 28*i**3 - 44*i**2 + 44*i - 8 = 0.
-1, 1/4, 1, 2
Factor -3*z**2 - 873*z + 1758.
-3*(z - 2)*(z + 293)
Factor t**2/4 + 101*t/4 + 99/2.
(t + 2)*(t + 99)/4
Factor -3*d**5 + 3*d**4 + 15*d**3 - 3*d**2 - 24*d - 12.
-3*(d - 2)**2*(d + 1)**3
Factor 4*z**3 + 7360*z**2 + 3385600*z.
4*z*(z + 920)**2
Let 6*s**3 - 478*s**2 + 784*s - 312 = 0. Calculate s.
2/3, 1, 78
Factor -3*u**3 - 185*u**2 - 302*u - 120.
-(u + 1)*(u + 60)*(3*u + 2)
Determine q, given that 5*q**4 + 185*q**3 + 685*q**2 + 835*q + 330 = 0.
-33, -2, -1
Factor -r**5/6 + 4*r**4/3 - r**3 - 20*r**2/3 - 25*r/6.
-r*(r - 5)**2*(r + 1)**2/6
Determine u so that u**3/3 - 269*u**2/3 + 18224*u/3 - 17956/3 = 0.
1, 134
What is d in -2*d**2/9 - 2968*d/9 - 1101128/9 = 0?
-742
Suppose d**2/2 + 83*d + 6889/2 = 0. Calculate d.
-83
Factor 2*u**3/7 - 10*u**2/7 + 6*u/7 + 18/7.
2*(u - 3)**2*(u + 1)/7
Determine u so that 17643776*u**4/9 + 10435648*u**3/9 + 95120*u**2 + 25100*u/9 + 250/9 = 0.
-1/2, -5/164
Factor -5*s**3 + 255*s**2 - 475*s - 735.
-5*(s - 49)*(s - 3)*(s + 1)
Factor p**3/8 - 13*p**2/4 + 65*p/8 + 23/2.
(p - 23)*(p - 4)*(p + 1)/8
Suppose -3*d**3 - 102*d**2 - 531*d - 756 = 0. Calculate d.
-28, -3
Determine r so that -2*r**5/9 - 2*r**4/3 + 2*r**3/3 + 22*r**2/9 + 4*r/3 = 0.
-3, -1, 0, 2
Let -11*p**4 - 9*p**3 + 90*p**2 + 116*p - 24 = 0. Calculate p.
-2, 2/11, 3
Factor 2*v**2/5 - 402*v.
2*v*(v - 1005)/5
Suppose -3*d**2 - 315*d - 618 = 0. Calculate d.
-103, -2
Find a such that -2*a**4/9 + 22*a**3/9 - 28*a**2/3 + 136*a/9 - 80/9 = 0.
2, 5
Factor 4*r**2 - 220*r + 816.
4*(r - 51)*(r - 4)
Factor 5*y**2 - 1590*y.
5*y*(y - 318)
Determine z, given that -7*z**4/6 + 5*z**3/6 + 8*z**2/3 + 2*z/3 = 0.
-1, -2/7, 0, 2
Let -5*k**2 - 680*k + 685 = 0. Calculate k.
-137, 1
Factor -g**3/6 + 29*g**2/3 - 55*g/6 - 19.
-(g - 57)*(g - 2)*(g + 1)/6
Let 5*p**4 + 80*p**3 + 315*p**2 - 80*p - 320 = 0. Calculate p.
-8, -1, 1
Suppose -5*y**5 - 60*y**4 + 5*y**3 + 60*y**2 = 0. Calculate y.
-12, -1, 0, 1
Determine o so that 3*o**5 - 102*o**4 + 183*o**3 + 300*o**2 - 372*o - 384 = 0.
-1, 2, 32
Determine n, given that -n**2/4 - 29*n/2 = 0.
-58, 0
Find n such that 5*n**2 + 345*n + 4050 = 0.
-54, -15
Let -5*b**3 + 22*b**2 - 5*b - 12 = 0. What is b?
-3/5, 1, 4
What is y in 4*y**4 + 80*y**3 + 400*y**2 = 0?
-10, 0
Solve 3*b**4 + 21*b**3 + 45*b**2 + 39*b + 12 = 0.
-4, -1
Solve 3*s**3/5 + 48*s**2/5 - 357*s/5 - 882/5 = 0.
-21, -2, 7
Factor 2*z**5/9 - 80*z**4/9 + 800*z**3/9.
2*z**3*(z - 20)**2/9
Find n, given that -n**4/2 + 2*n**3 - n**2/2 - 3*n = 0.
-1, 0, 2, 3
Solve -j**3/6 + 109*j**2/3 - 72*j = 0 for j.
0, 2, 216
Find c, given that -4*c**4 + 4*c**3 + 36*c**2 - 36*c = 0.
-3, 0, 1, 3
Solve 3*o**3/5 + 588*o**2/5 - 597*o/5 - 1182/5 = 0.
-197, -1, 2
Let -d**2 + 42*d - 216 = 0. What is d?
6, 36
Determine p, given that -p**5/5 + 2*p**4/5 + 8*p**3/5 + 2*p**2/5 - 7*p/5 - 4/5 = 0.
-1, 1, 4
Solve 66*d**5/5 + 164*d**4/5 - 298*d**3/5 - 684*d**2/5 - 288*d/5 = 0 for d.
-3, -1, -2/3, 0, 24/11
Determine y so that -y**3 + 72*y**2 - 140*y = 0.
0, 2, 70
Factor 5*m**4 + 35*m**3 + 60*m**2.
5*m**2*(m + 3)*(m + 4)
Solve 8*w**5/15 + 158*w**4/15 + 464*w**3/15 - 286*w**2/15 - 472*w/15 + 128/15 = 0 for w.
-16, -4, -1, 1/4, 1
Factor -3*g**2 + 2604*g - 565068.
-3*(g - 434)**2
Suppose 32*o**5/3 - 368*o**4/3 - 302*o**3/3 + 1220*o**2/3 + 400*o = 0. What is o?
-5/4, 0, 2, 12
Solve -2*d**2/7 + 16*d/7 = 0 for d.
0, 8
Let -15*v**3/2 - 55*v**2/4 - 5*v + 5/4 = 0. What is v?
-1, 1/6
Find j, given that -j**2 - 186*j - 549 = 0.
-183, -3
Suppose 20*x**2 - 4*x - 24 = 0. Calculate x.
-1, 6/5
Factor 5*q**3 + 100*q**2 - 215*q + 110.
5*(q - 1)**2*(q + 22)
Factor -5*j**2 + 10*j.
-5*j*(j - 2)
Let 2*k**3/5 + 16*k**2/15 - 2*k + 8/15 = 0. Calculate k.
-4, 1/3, 1
Find m, given that -5*m**2 - 16*m + 16 = 0.
-4, 4/5
Factor n**4/2 - 5*n**3 - 336*n**2 - 2448*n.
n*(n - 34)*(n + 12)**2/2
Solve c**3/7 + 12*c**2/7 + 45*c/7 + 50/7 = 0 for c.
-5, -2
Factor 2*i**4 + 96*i**3 + 168*i**2 - 736*i.
2*i*(i - 2)*(i + 4)*(i + 46)
Factor 16*l**4 - 28*l**3 - 68*l**2 + 12*l + 36.
4*(l - 3)*(l + 1)**2*(4*l - 3)
Let -676*n**4 + 1144*n**3 + 400*n**2 + 32*n = 0. Calculate n.
-2/13, 0, 2
Find g, given that g**2/3 + 94*g = 0.
-282, 0
What is g in 2*g**5/21 + 2*g**4/7 + 4*g**3/21 = 0?
-2, -1, 0
Find p, given that -2*p**3/15 + 8*p**2/15 + 2*p/15 - 8/15 = 0.
-1, 1, 4
Factor 2*g**2 - 8404*g + 8828402.
2*(g - 2101)**2
Suppose 3*t**2/4 + 111*t + 4107 = 0. What is t?
-74
Factor l**3/4 - 41*l**2 + 325*l/4 - 81/2.
(l - 162)*(l - 1)**2/4
Let -5*t**2 + 80*t + 525 = 0. What is t?
-5, 21
Determine d, given that 5*d**5 + 350*d**4 + 6465*d**3 + 11900*d**2 + 5780*d = 0.
-34, -1, 0
Factor -3*s**3 + 12*s**2 + 9*s - 54.
-3*(s - 3)**2*(s + 2)
Let 2*u**5 + 22*u**4 + 6*u**3 - 166*u**2 - 272*u - 120 = 0. What is u?
-10, -2, -1, 3
Factor -p**4/4 - 3*p**3/4 + 81*p**2/4 - 297*p/4 + 81.
-(p - 3)**3*(p + 12)/4
Factor 4*p**4/3 - 36*p**3 + 96*p**2.
4*p**2*(p - 24)*(p - 3)/3
Suppose 3*m**2 - 591*m - 594 = 0. What is m?
-1, 198
Factor -v**5 + 11*v**4 - 26*v**3 + 16*v**2.
-v**2*(v - 8)*(v - 2)*(v - 1)
Solve -3*z**2/2 - 1239*z/2 - 1233 = 0.
-411, -2
Suppose w**5/4 - 5*w**4/2 - 143*w**3/4 + 363*w**2 = 0. Calculate w.
-12, 0, 11
Factor -3*v**3 - 6*v**2 + 15*v + 18.
-3*(v - 2)*(v + 1)*(v + 3)
Factor -2*m**4 - 38*m**3 - 246*m**2 - 602*m - 392.
-2*(m + 1)*(m + 4)*(m + 7)**2
Solve -2*g**5/9 - 8*g**4/9 + 20*g**2/9 + 2*g/9 - 4/3 = 0 for g.
-3, -2, -1, 1
Find p such that 5*p**4 - 10*p**3 - 5*p**2 + 10*p = 0.
-1, 0, 1, 2
Determine n, given that 4*n**4/7 + 444*n**3/7 + 12541*n**2/7 + 12210*n/7 + 3025/7 = 0.
-55, -1/2
Factor 36*x**3 - 278*x**2 + 186*x - 28.
2*(x - 7)*(2*x - 1)*(9*x - 2)
Suppose 2*a**2/11 - 228*a/11 - 230/11 = 0. What is a?
-1, 115
Let 16*c**5 + 244*c**4 + 988*c**3 + 1576*c**2 + 976*c + 160 = 0. Calculate c.
-10, -2, -1, -1/4
What is f in 16*f**3 - 20*f**2 - 92*f + 24 = 0?
-2, 1/4, 3
Find c such that c**5/3 + 14*c**4/3 + 12*c**3 - 194*c**2/3 - 805*c/3 - 196 = 0.
-7, -3, -1, 4
Determine r so that -5*r**4 - 25*r**3 + 5*r**2 + 25*r = 0.
-5, -1, 0, 1
Determine b so that -21*b**5 - 132*b**4 - 204*b**3 - 48*b**2 = 0.
-4, -2, -2/7, 0
Factor -5*l**5 - 310*l**4 - 1470*l**3 - 2600*l**2 - 2005*l - 570.
-5*(l + 1)**3*(l + 2)*(l + 57)
Determine q so that -q**4 - 7*q**3 - 8*q**2 + 16*q = 0.
-4, 0, 1
Factor -f**3 + 7*f**2 + 18*f.
-f*(f - 9)*(f + 2)
Factor f**2 + f - 72.
(f - 8)*(f + 9)
Factor -3*u**4/8 - 27*u**3/8 + 15*u**2/4.
-3*u**2*(u - 1)*(u + 10)/8
Factor -2*t**5/11 + 30*t**4/11 - 126*t**3/11 + 98*t**2/11.
-2*t**2*(t - 7)**2*(t - 1)/11
Solve 3*v**2 - 153*v - 660 = 0.
-4, 55
Let 4*z**3 + 8820*z**2 + 6482700*z + 1588261500 = 0. Calculate z.
-735
Find a such that 4*a**3 - 84*a**2 + 576*a - 1280 = 0.
5, 8
Factor -d**4 - 13*d**3 + 10*d**2 + 448*d + 1056.
-(d - 6)*(d + 4)**2*(d + 11)
Factor 2*q**4 + 6*q**3 - 90*q**2 + 162*q.
2*q*(q - 3)**2*(q + 9)
Factor 4*d**2/9 + 2660*d/9 + 2656/9.
4*(d + 1)*(d + 664)/9
Solve 3*s**5/2 - 3*s**3 + 3*s/2 = 0.
-1, 0, 1
Suppose 2*h**4 - 18*h**3 + 56*h**2 - 72*h + 32 = 0. What is h?
1, 2, 4
Find c, given that 2*c**2/5 + 88*c + 4840 = 0.
-110
Solve -2*s**2/5 + 52*s/5 + 54/5 = 0.
-1, 27
Factor -a**4/9 - a**3/9 + 2*a**2/3 + 4*a/9 - 8/9.
-(a - 2)*(a - 1)*(a + 2)**2/9
Solve -4*c**3/7 - 744*c**2/7 + 4572*c/7 - 6912/7 = 0 for c.
-192, 3
What is t in -4*t**5/7 - 384*t**4/7 - 9956*t**3/7 - 35704*t**2/7 - 43056*t/7 - 16928/7 = 0?
-46, -2, -1
Let -5*k**4/4 - 1225*k**3/4 + 3105*k**2/2 - 2495*k + 1250 = 0. Calculate k.
-250, 1, 2
Suppose -2*r**4/7 - 4*r**3/7 + 2*r**2 + 16*r/7 - 24/7 = 0. Calculate r.
-3, -2, 1, 2
Determine h so that 3*h**3/2 + 171*h**2/2 + 3105*h/2 + 18225/2 = 0.
-27, -15
Factor -2*i**3 + 66*i**2/7 + 20*i/7.
-2*i*(i - 5)*(7*i + 2)/7
Factor 3*y**2 + 1101*y + 6498.
3*(y + 6)*(y + 361)
Determine h so that h**2 + 815*h/4 -