**3 - 13*w**2 + w + 12 = 0. Calculate w.
-3, -1, 1, 4
Solve x**3/8 - x/8 = 0 for x.
-1, 0, 1
Determine k, given that -k**4/4 + 3*k**3 + 5*k**2/4 - 39*k - 55 = 0.
-2, 5, 11
Solve -n**2 - 4*n + 12 = 0 for n.
-6, 2
Find t such that -t**3/2 - 2*t**2 + 16*t = 0.
-8, 0, 4
What is d in -d**4/9 - 35*d**3/9 - 323*d**2/9 - 289*d/9 = 0?
-17, -1, 0
Factor -u**3 + 10*u**2 - 25*u.
-u*(u - 5)**2
Factor -q**2 - 506*q - 64009.
-(q + 253)**2
Find v, given that 5*v**5 + 19*v**4 - 139*v**3 + 217*v**2 - 118*v + 16 = 0.
-8, 1/5, 1, 2
Find p such that 8*p**5/3 + 4*p**4 - 112*p**3/3 + 44*p**2 - 40*p/3 = 0.
-5, 0, 1/2, 1, 2
Factor -3*p**2/5 + 63*p/5 - 294/5.
-3*(p - 14)*(p - 7)/5
What is j in 10*j**2/3 + 58*j/3 + 28 = 0?
-3, -14/5
Let -2*d**3 - 252*d**2 - 7938*d = 0. Calculate d.
-63, 0
What is z in z**5 - 6*z**4 + 5*z**3 + 12*z**2 = 0?
-1, 0, 3, 4
Let -z**3/7 + 21*z**2 - 1029*z + 16807 = 0. Calculate z.
49
Let -2*l**2/3 - 238*l/3 + 80 = 0. What is l?
-120, 1
Determine z so that 3*z**5/5 - 2688*z**4/5 + 604794*z**3/5 - 1201536*z**2/5 + 599427*z/5 = 0.
0, 1, 447
Let -2*p**5/9 - 22*p**4/3 - 256*p**3/3 - 3776*p**2/9 - 2560*p/3 - 512 = 0. Calculate p.
-12, -4, -1
Factor -l**2 - 2572*l - 1653796.
-(l + 1286)**2
Determine o so that o**3 - o**2 = 0.
0, 1
Factor -v**4/2 - 147*v**3 - 21609*v**2/2.
-v**2*(v + 147)**2/2
Determine h so that -28*h**5/3 - 61*h**4 - 344*h**3/3 - 259*h**2/3 - 26*h - 8/3 = 0.
-4, -1, -2/7, -1/4
Factor 4*n**2 - 6320*n + 2496400.
4*(n - 790)**2
Find w such that -w**4/8 - 7*w**3/8 - 11*w**2/8 - 5*w/8 = 0.
-5, -1, 0
Find m, given that -3*m**3 + 147*m**2 + 966*m + 1320 = 0.
-4, -2, 55
Let -64*v**4 - 224*v**3 + 540*v**2 + 308*v + 40 = 0. What is v?
-5, -1/4, 2
Find k such that -3*k**3/5 + 21*k**2/5 + 24*k/5 = 0.
-1, 0, 8
Let r**3/2 + 34*r**2 + 690*r + 3600 = 0. What is r?
-30, -8
Factor -o**4/3 + 4*o**3/3 + 32*o**2/3 - 48*o + 48.
-(o - 6)*(o - 2)**2*(o + 6)/3
Factor -4*o**2 + 52*o - 48.
-4*(o - 12)*(o - 1)
Determine l so that -l**3/6 + 41*l**2/6 + 424*l/3 + 608 = 0.
-8, 57
Find i, given that -2*i**3/11 - 370*i**2/11 - 17296*i/11 - 16928/11 = 0.
-92, -1
Find x, given that -x**3/8 - 7*x**2/2 - 13*x/2 = 0.
-26, -2, 0
Factor -2*d**3 - 90*d**2 + 186*d - 94.
-2*(d - 1)**2*(d + 47)
Solve v**2 + 1062*v + 281961 = 0 for v.
-531
What is c in c**4/5 + c**3/5 - 17*c**2/5 + 3*c = 0?
-5, 0, 1, 3
Find k, given that 2*k**3/9 + 14*k**2/9 - 56*k/9 + 40/9 = 0.
-10, 1, 2
Factor 250*d**2 - 1245*d - 25.
5*(d - 5)*(50*d + 1)
Determine d so that -3*d**2 - 1306*d - 435 = 0.
-435, -1/3
Let -2*m**3/3 + 14*m**2/9 - 10*m/9 + 2/9 = 0. What is m?
1/3, 1
Factor -x**4 + 46*x**3 - 131*x**2 + 86*x.
-x*(x - 43)*(x - 2)*(x - 1)
Determine c so that 2*c**4/3 - 62*c**3/3 + 58*c**2/3 + 62*c/3 - 20 = 0.
-1, 1, 30
Let -w**5/10 - w**4/10 + w**3/5 = 0. Calculate w.
-2, 0, 1
Solve 2*u**4 + 84*u**3 - 270*u**2 + 8*u + 360 = 0 for u.
-45, -1, 2
What is h in 4*h**5 + 424*h**4 + 11236*h**3 = 0?
-53, 0
Factor -3*x**5 + 27*x**4 + 18*x**3 - 186*x**2 + 225*x - 81.
-3*(x - 9)*(x - 1)**3*(x + 3)
Let n**3/3 + n**2 - 16*n/3 + 4 = 0. Calculate n.
-6, 1, 2
Determine z, given that -2*z**4/17 - 2*z**3/17 + 6*z**2/17 + 2*z/17 - 4/17 = 0.
-2, -1, 1
Determine i, given that 2*i**4 - 568*i**3 + 60492*i**2 - 2863288*i + 50823362 = 0.
71
Factor -2*a**4/13 + 24*a**3/13 - 54*a**2/13.
-2*a**2*(a - 9)*(a - 3)/13
What is t in t**4/2 - 3*t**3/2 - 11*t**2/2 + 3*t/2 + 5 = 0?
-2, -1, 1, 5
Factor -5*z**5/6 + 2*z**4 - 3*z**3/2 + z**2/3.
-z**2*(z - 1)**2*(5*z - 2)/6
Factor g**2 + 22*g + 21.
(g + 1)*(g + 21)
Factor 3*l**2 - 234*l + 3111.
3*(l - 61)*(l - 17)
Determine y so that 28*y**2 - 2616*y - 1504 = 0.
-4/7, 94
Solve 6*w**4/17 - 130*w**3/17 + 70*w**2/17 + 290*w/17 + 84/17 = 0.
-1, -1/3, 2, 21
What is m in -m**5/2 + 9*m**4/2 + 43*m**3/2 - 57*m**2/2 - 153*m - 108 = 0?
-3, -2, -1, 3, 12
Factor 2*p**3/7 + 530*p**2/7 + 3126*p/7 + 666.
2*(p + 3)**2*(p + 259)/7
Factor -h**4/3 + 295*h**3/3 - 9603*h**2 + 303831*h + 646866.
-(h - 99)**3*(h + 2)/3
Factor -t**3/3 + 988*t**2/3 + 1985*t + 2982.
-(t - 994)*(t + 3)**2/3
Suppose 2*x**4/5 - 8*x**3/5 - 124*x**2/5 - 312*x/5 - 198/5 = 0. Calculate x.
-3, -1, 11
Factor 3*w**3/4 - 29*w**2/4 + 19*w/2 + 4.
(w - 8)*(w - 2)*(3*w + 1)/4
Suppose 3*a**4 - 243*a**3 + 1152*a**2 - 912*a = 0. What is a?
0, 1, 4, 76
Factor 5*j**3 + 80*j**2 - 85*j.
5*j*(j - 1)*(j + 17)
Let 3*d**5 + 6*d**4 - 21*d**3 - 24*d**2 + 36*d = 0. What is d?
-3, -2, 0, 1, 2
Find z such that -2*z**3/5 - 98*z**2/5 - 96*z/5 = 0.
-48, -1, 0
Factor v**3 - 169*v**2 - 341*v - 171.
(v - 171)*(v + 1)**2
Suppose 22*s**5 - 74*s**4 + 68*s**3 - 16*s**2 = 0. Calculate s.
0, 4/11, 1, 2
Find g, given that -4*g**4/5 - 196*g**3 - 59532*g**2/5 + 60516*g/5 = 0.
-123, 0, 1
Solve 3*t**2/4 + t - 7/4 = 0.
-7/3, 1
Suppose 4*j**3 + 2828*j**2 - 4*j - 2828 = 0. Calculate j.
-707, -1, 1
What is b in -b**4 + 20*b**3 + 209*b**2 + 420*b = 0?
-5, -3, 0, 28
Factor -121*b**2 - 88*b - 16.
-(11*b + 4)**2
Factor s**4/4 - 17*s**3/2 + 87*s**2 - 182*s - 784.
(s - 14)**2*(s - 8)*(s + 2)/4
Factor 2*g**4 - 40*g**3 + 246*g**2 - 352*g - 640.
2*(g - 8)**2*(g - 5)*(g + 1)
Solve 2*g**5 + 2*g**4 - 42*g**3 + 94*g**2 - 80*g + 24 = 0 for g.
-6, 1, 2
Factor 2*s**3/5 + 2*s**2/5 - 48*s/5 + 72/5.
2*(s - 3)*(s - 2)*(s + 6)/5
Let 8*g**5/7 - 152*g**4/7 - 82*g**3 + 136*g**2 + 1304*g/7 + 352/7 = 0. Calculate g.
-4, -1/2, 2, 22
Factor i**2 + 27*i - 58.
(i - 2)*(i + 29)
Find a such that -2*a**4/15 + 44*a**3/15 + 48*a**2/5 - 576*a + 16128/5 = 0.
-14, 12
Solve -2*r**4/3 - 14*r**3/3 - 14*r**2/3 + 10*r = 0.
-5, -3, 0, 1
Factor w**4 + 28*w**3 + 267*w**2 + 940*w + 700.
(w + 1)*(w + 7)*(w + 10)**2
Factor 3*m**5 - 9*m**4 - 15*m**3 + 9*m**2 + 12*m.
3*m*(m - 4)*(m - 1)*(m + 1)**2
Determine v so that 4*v**5/3 + 8*v**4 - 188*v**3/3 + 112*v**2 - 176*v/3 = 0.
-11, 0, 1, 2
Solve -u**3/5 + 159*u**2/5 - 8427*u/5 + 148877/5 = 0.
53
Let -2*r**4/7 + 18*r**3/7 - 46*r**2/7 + 30*r/7 = 0. What is r?
0, 1, 3, 5
What is l in -3*l**2 - 111*l + 924 = 0?
-44, 7
Suppose d**5 - 84*d**4 + 395*d**3 = 0. What is d?
0, 5, 79
Solve -u**3/6 + 1063*u**2/6 - 142040*u/3 + 140450 = 0 for u.
3, 530
Factor w**2/4 + w + 1.
(w + 2)**2/4
Factor -2*s**2/11 - 378*s/11 + 2744/11.
-2*(s - 7)*(s + 196)/11
Determine b, given that 25*b**4 + 1040*b**3 + 4355*b**2 + 3640*b - 2220 = 0.
-37, -3, -2, 2/5
Factor n**3/5 - 129*n**2/5 + 792*n + 13068/5.
(n - 66)**2*(n + 3)/5
Suppose -4*z**5 - 42*z**4 - 54*z**3 + 2*z**2 + 18*z = 0. What is z?
-9, -1, 0, 1/2
Factor -3*w**4 - 51*w**3 - 234*w**2 - 96*w + 384.
-3*(w - 1)*(w + 2)*(w + 8)**2
Factor -2*l**4/3 - 160*l**3/3 - 1012*l**2 + 6560*l/3 - 3362/3.
-2*(l - 1)**2*(l + 41)**2/3
Factor 18*j**3/17 - 40*j**2/17 + 26*j/17 - 4/17.
2*(j - 1)**2*(9*j - 2)/17
Factor -2*k**3/21 + 22*k**2/21 + 130*k/21 - 50/7.
-2*(k - 15)*(k - 1)*(k + 5)/21
Factor y**5/6 - 3*y**4/2 + y**3 + 8*y**2/3.
y**2*(y - 8)*(y - 2)*(y + 1)/6
Solve -4*b**3/3 - 70*b**2/9 - 122*b/9 - 20/3 = 0.
-3, -2, -5/6
Let -2*y**5/5 - 2*y**4/5 + 2*y**3/5 + 2*y**2/5 = 0. What is y?
-1, 0, 1
Suppose 5*j**2 + 60*j + 55 = 0. What is j?
-11, -1
Factor o**5 + 109*o**4 + 1308*o**3 + 5872*o**2 + 10816*o + 6144.
(o + 1)*(o + 4)**3*(o + 96)
Let -2*c**4/11 - 14*c**3/11 + 72*c/11 = 0. Calculate c.
-6, -3, 0, 2
Determine f so that 2*f**5/9 - 34*f**4/3 + 416*f**3/3 + 1352*f**2/9 = 0.
-1, 0, 26
Find h such that h**4/8 - 41*h**3/8 + 277*h**2/8 - 435*h/8 + 99/4 = 0.
1, 6, 33
Factor z**2/7 - 48*z/7 - 265/7.
(z - 53)*(z + 5)/7
Factor -t**3 + 511*t**2/9 + 38*t/3.
-t*(t - 57)*(9*t + 2)/9
Factor 2*x**3 + 70*x**2 + 254*x + 186.
2*(x + 1)*(x + 3)*(x + 31)
Let -5*z**5/2 - 21*z**4/2 + 161*z**3/2 + 53*z**2/2 - 78*z - 16 = 0. Calculate z.
-8, -1, -1/5, 1, 4
Factor 28*h**2 - 64*h + 16.
4*(h - 2)*(7*h - 2)
Factor 2*i**3/21 - 18*i**2/7 - 242*i/21 - 62/7.
2*(i - 31)*(i + 1)*(i + 3)/21
What is l in 5*l**4 + 5*l**3 - 30*l**2 = 0?
-3, 0, 2
Find u such that u**5 - 112*u**3 - 218*u**2 + 1407*u - 1078 = 0.
-7, 1, 2, 11
Let 2*o**3/3 + 43*o**2/3 - 71*o/3 - 46/3 = 0. Calculate o.
-23, -1/2, 2
Factor 5*z**3 - 170*z**2 + 1260*z + 3240.
5*(z - 18)**2*(z + 2)
Factor 2*g**4/9 - 116*g**3/3 + 14426*g**2/9 + 20648*g/3 + 63368/9.
2*(g - 89)**2*(g + 2)**2/9
Determine n so that -500*n**4 - 31700*n**3 - 492845*n**2 + 304320*n - 46080 = 0.
-32, 3/10
Suppose 2*q**3/3 + 6*q**2 + 10*q - 50/3 = 0. What is q?
-5, 1
Solve -3*b**2/2 