
Solve -3*q**5/2 + 9*q**4/2 - 3*q**3 = 0.
0, 1, 2
Find d such that -3*d**4/2 - 21*d**3/2 + 147*d**2/2 + 165*d/2 = 0.
-11, -1, 0, 5
Solve 5*z**4 - 60*z**3 + 180*z**2 - 160*z = 0.
0, 2, 8
Let 36*q**3 + 424*q**2/3 - 572*q/3 + 40/3 = 0. What is q?
-5, 2/27, 1
Solve 2*f**3/15 - 8*f**2 + 78*f/5 - 116/15 = 0 for f.
1, 58
Solve -i**3/8 + 11*i**2/8 + 7*i + 15/2 = 0.
-2, 15
Factor 4*y**2 + 40*y.
4*y*(y + 10)
Let -3*n**2/2 + 315*n/2 - 3159 = 0. What is n?
27, 78
Determine n so that -2*n**5/9 - 2*n**4 - 32*n**3/9 + 16*n**2/3 + 160*n/9 + 32/3 = 0.
-6, -2, -1, 2
Let -25*y**3 - 5*y**2 + 25*y + 5 = 0. Calculate y.
-1, -1/5, 1
Let -49*u**3 - 145*u**2 + 202*u - 8 = 0. Calculate u.
-4, 2/49, 1
Factor 3*r**3/4 - 75*r**2/2 + 429*r + 1014.
3*(r - 26)**2*(r + 2)/4
Factor -2*n**4/11 - 16*n**3/11 + 8*n**2 - 96*n/11.
-2*n*(n - 2)**2*(n + 12)/11
Suppose -5*t**4 + 20965*t**3 - 29316045*t**2 + 13690537135*t - 27263977730 = 0. What is t?
2, 1397
Factor -2*h**3 + 130*h**2 - 254*h + 126.
-2*(h - 63)*(h - 1)**2
Determine h, given that h**3 - 12*h**2 - 13*h = 0.
-1, 0, 13
Factor u**2/4 + 139*u/4.
u*(u + 139)/4
Factor -5*l**2 + 35*l - 30.
-5*(l - 6)*(l - 1)
Factor -5*o**4 + 20*o**3 + 540*o**2 + 2080*o + 2240.
-5*(o - 14)*(o + 2)*(o + 4)**2
Factor g**4/3 + g**3/3 - 19*g**2 - 113*g/3 - 56/3.
(g - 8)*(g + 1)**2*(g + 7)/3
Solve 4*c**3 - 156*c**2 + 576*c - 560 = 0.
2, 35
Factor -5*c**5 + 30*c**4 - 25*c**3.
-5*c**3*(c - 5)*(c - 1)
Factor -5*p**4/4 + 35*p**3/4 - 20*p**2 + 15*p.
-5*p*(p - 3)*(p - 2)**2/4
Suppose t**5 - 5085*t**4 + 6456675*t**3 + 19400545*t**2 + 19410720*t + 6471936 = 0. What is t?
-1, 2544
Factor -m**4/8 - 21*m**3/4 - 165*m**2/2 - 575*m - 1500.
-(m + 10)**3*(m + 12)/8
What is k in k**5 + 5*k**4 - k**3 - 5*k**2 = 0?
-5, -1, 0, 1
What is v in -8*v**4 - 156*v**3 - 348*v**2 - 136*v = 0?
-17, -2, -1/2, 0
Find v such that v**4/3 + 44*v**3/3 + 96*v**2 - 1712*v/3 + 1904/3 = 0.
-34, -14, 2
Let -y**4/2 + 5*y**3/2 + 7*y**2 = 0. What is y?
-2, 0, 7
Factor 2*l**4/21 + 6764*l**3/21 + 1908574*l**2/7 + 11431160*l/21 + 5712200/21.
2*(l + 1)**2*(l + 1690)**2/21
Solve 14*b**5 + 202*b**4 + 540*b**3/7 - 664*b**2/7 + 16*b = 0 for b.
-14, -1, 0, 2/7
Find k such that 5*k**2 + 85*k = 0.
-17, 0
What is p in 90*p**5 - 2634*p**4 + 6952*p**3 + 17568*p**2 + 10944*p + 2080 = 0?
-2/3, -2/5, 5, 26
Factor -3*c**5/5 + 18*c**4 - 579*c**3/5 - 288*c**2 - 768*c/5.
-3*c*(c - 16)**2*(c + 1)**2/5
Factor v**5 + 2*v**4 - 6*v**3 - 4*v**2 + 13*v - 6.
(v - 1)**3*(v + 2)*(v + 3)
Let -4*c**5 + 16*c**4 + 28*c**3 - 88*c**2 - 96*c = 0. What is c?
-2, -1, 0, 3, 4
Factor -2*q**4/3 + 416*q**3/3 - 10816*q**2 + 1124864*q/3 - 14623232/3.
-2*(q - 52)**4/3
Suppose -5*l**5/3 - 35*l**4/6 - 10*l**3/3 + 35*l**2/6 + 5*l = 0. Calculate l.
-2, -3/2, -1, 0, 1
Let 3*u**5/4 - 27*u**4 + 99*u**3/4 + 105*u**2/2 = 0. What is u?
-1, 0, 2, 35
Suppose -2*i**4/5 + 2*i**3/5 + 8*i**2/5 - 8*i/5 = 0. Calculate i.
-2, 0, 1, 2
What is q in 3*q**4/5 + 114*q**3/5 + 216*q**2/5 = 0?
-36, -2, 0
Factor o**4/6 + 37*o**3/2 + 1621*o**2/3 + 1494*o + 972.
(o + 1)*(o + 2)*(o + 54)**2/6
Find r such that r**3/8 - 9*r**2/8 - 169*r/8 - 399/8 = 0.
-7, -3, 19
Factor l**4 - 42*l**3 + 119*l**2 - 78*l.
l*(l - 39)*(l - 2)*(l - 1)
Let 30*i**4 + 47*i**3 + 3*i**2 - 15*i - 1 = 0. What is i?
-1, -1/15, 1/2
Determine z, given that z**2/5 - 6*z/5 - 72/5 = 0.
-6, 12
Factor h**3 + 4*h**2 - h - 4.
(h - 1)*(h + 1)*(h + 4)
Suppose -5*j**5/3 - 95*j**4/3 + 60*j**3 + 1700*j**2/3 + 2000*j/3 = 0. What is j?
-20, -2, 0, 5
Factor 2*u**2/5 - 18*u + 832/5.
2*(u - 32)*(u - 13)/5
Let -6*x**4 - 40*x**3 + 18*x**2 + 28*x = 0. What is x?
-7, -2/3, 0, 1
Factor -m**5 + 848*m**4 - 179776*m**3.
-m**3*(m - 424)**2
Determine a, given that -2*a**5/9 + 6*a**4 - 34*a**3/3 + 50*a**2/9 = 0.
0, 1, 25
Solve -4*b**2 + 352*b - 348 = 0.
1, 87
Factor 16*s**3/15 - 2*s**2 - 52*s/15 - 2/5.
2*(s - 3)*(s + 1)*(8*s + 1)/15
Determine f, given that 8*f**4 - 146*f**3 - 636*f**2 - 536*f + 176 = 0.
-2, 1/4, 22
Find g such that 8*g**5/5 - 36*g**4/5 - 72*g**3/5 - 4*g**2/5 + 24*g/5 = 0.
-1, 0, 1/2, 6
Factor w**2/3 + 98*w/3 + 2401/3.
(w + 49)**2/3
Factor g**4/2 + 5*g**3 + 6*g**2 - 36*g.
g*(g - 2)*(g + 6)**2/2
What is q in 147*q**3 - 1848*q**2 + 1020*q - 144 = 0?
2/7, 12
Factor -l**3/5 + 332*l**2/5 + 667*l/5 + 334/5.
-(l - 334)*(l + 1)**2/5
Factor t**4/4 - 19*t**3 - 79*t**2/4 + 77*t/2.
t*(t - 77)*(t - 1)*(t + 2)/4
Let -4*u**3 - 80*u**2 + 372*u - 288 = 0. Calculate u.
-24, 1, 3
Determine y so that -5*y**5 - 45*y**4 - 55*y**3 + 105*y**2 = 0.
-7, -3, 0, 1
Let -g**3/3 - 13*g**2/3 + 10*g = 0. Calculate g.
-15, 0, 2
Solve -5*f**5 + 5*f**4 + 15*f**3 - 5*f**2 - 10*f = 0 for f.
-1, 0, 1, 2
Factor -2*s**2/19 - 44*s/19 - 42/19.
-2*(s + 1)*(s + 21)/19
Factor 4*i**4 - 96*i**3 + 352*i**2 + 2688*i + 3136.
4*(i - 14)**2*(i + 2)**2
What is t in -t**5 - 27*t**4 + 3*t**3 + 79*t**2 - 54*t = 0?
-27, -2, 0, 1
Factor -2*o**2 + 208*o - 5408.
-2*(o - 52)**2
Factor h**2/4 - 19*h/4.
h*(h - 19)/4
Find i, given that 2*i**2 + 60*i + 162 = 0.
-27, -3
Let 2*f**5/7 - 418*f**3/7 - 2592*f**2/7 - 2176*f/7 = 0. What is f?
-8, -1, 0, 17
Solve 168*s**5 + 44*s**4 - 948*s**3 + 1140*s**2 - 452*s + 48 = 0 for s.
-3, 1/6, 4/7, 1
Solve 2*n**4/5 + 4*n**3 + 8*n**2 - 16*n - 192/5 = 0 for n.
-6, -4, -2, 2
Find k, given that k**5/9 - 16*k**3/9 - 2*k**2/3 + 7*k + 6 = 0.
-3, -2, -1, 3
Find w, given that 5*w**3 - 20*w**2 - 25*w = 0.
-1, 0, 5
Solve -4*p**4 + 36*p**3 + 188*p**2 + 252*p + 104 = 0.
-2, -1, 13
Factor 4*o**4 - 160*o**3 + 1432*o**2 + 3360*o + 1764.
4*(o - 21)**2*(o + 1)**2
Factor -5*l**5 - 20*l**4 + 70*l**2 + 85*l + 30.
-5*(l - 2)*(l + 1)**3*(l + 3)
What is t in 32*t**5 + 368*t**4/9 - 122*t**3/3 + 32*t**2/3 - 8*t/9 = 0?
-2, 0, 2/9, 1/4
Determine l so that -l**2/3 + 354*l - 93987 = 0.
531
Find u, given that 3*u**4 + 999*u**3 - 21*u**2 - 7011*u - 5994 = 0.
-333, -2, -1, 3
Factor -3*r**5 - 18*r**4 - 33*r**3 - 6*r**2 + 36*r + 24.
-3*(r - 1)*(r + 1)*(r + 2)**3
Find n, given that -2*n**4 - 2384*n**3 - 1065648*n**2 - 211708736*n - 15772300832 = 0.
-298
Let 4*o**2 - 368*o - 1536 = 0. What is o?
-4, 96
Factor -90*p**3 - 177*p**2 + 276*p - 9.
-3*(p - 1)*(p + 3)*(30*p - 1)
Find y such that 3*y**3 + 47*y**2/3 + 46*y/3 + 8/3 = 0.
-4, -1, -2/9
Let 2*z**2 - 320*z/3 - 72 = 0. What is z?
-2/3, 54
Factor -z**4 - 13*z**3 - 21*z**2 + 85*z - 50.
-(z - 1)**2*(z + 5)*(z + 10)
Let -2*o**3 + 10*o**2 + 112*o - 120 = 0. Calculate o.
-6, 1, 10
Let 6*a**5/19 - 490*a**4/19 + 10858*a**3/19 - 34702*a**2/19 + 1248*a + 12168/19 = 0. Calculate a.
-1/3, 2, 39
Determine z, given that 2*z**5 - 24*z**3 + 4*z**2 + 54*z - 36 = 0.
-3, -2, 1, 3
Solve -4*t**2 - 1084*t = 0 for t.
-271, 0
Solve 3*q**5 + 129*q**4 + 1740*q**3 + 7200*q**2 + 2592*q - 11664 = 0 for q.
-18, -6, -2, 1
Factor -2*u**2/23 + 20*u/23.
-2*u*(u - 10)/23
Determine r so that r**5/6 - 10*r**4/3 + 39*r**3/2 - 89*r**2/3 + 40*r/3 = 0.
0, 1, 8, 10
Factor 3*z**5 + 30*z**4 + 96*z**3 + 114*z**2 + 45*z.
3*z*(z + 1)**2*(z + 3)*(z + 5)
Determine u so that -4*u**5 - 128*u**4 = 0.
-32, 0
Solve -132*s**2/7 - 135*s/7 - 3/7 = 0.
-1, -1/44
Determine x, given that -4*x**5 - 292*x**4 - 5928*x**3 - 41416*x**2 - 66196*x - 30420 = 0.
-45, -13, -1
Factor c**2/3 + 259*c/3.
c*(c + 259)/3
Suppose -2*p**4/11 + 36*p**3/11 - 144*p**2/11 + 188*p/11 - 78/11 = 0. Calculate p.
1, 3, 13
Find g, given that -2*g**5/13 + 10*g**4/13 + 36*g**3/13 - 256*g**2/13 + 320*g/13 = 0.
-5, 0, 2, 4
Factor 13*z**2/2 + 103*z/2 - 58.
(z - 1)*(13*z + 116)/2
Let -2*p**5 - 888*p**4 - 97676*p**3 + 198024*p**2 - 99458*p = 0. What is p?
-223, 0, 1
Determine s, given that -5618*s**4/5 - 485480*s**3 - 262296584*s**2/5 - 3957120*s - 373248/5 = 0.
-216, -2/53
Factor -5*n**2 + 530*n.
-5*n*(n - 106)
Find r, given that -3*r**5 - 33*r**4 + 918*r**3 - 5928*r**2 + 15648*r - 14976 = 0.
-26, 3, 4
Suppose -d**2 - 948*d - 224676 = 0. What is d?
-474
Factor 5*j**2 + 3075*j.
5*j*(j + 615)
Factor 3*p**3 - 195*p**2 - 399*p - 201.
3*(p - 67)*(p + 1)**2
Determine b, given that 5*b**3 - 1150*b**2 + 62540*b + 417720 = 0.
-6, 118
Factor -n**2/6 + 47*n/6 + 8.
-(n - 48)*(n + 1)/6
Solve g**3/3 + 4*g**2/3 - 5*g/3 = 0.
-5, 0, 1
Solve 8*v**3/9 - 46*v**2/3 + 370*v/9 - 28/3 = 0 for v.
1/4, 3, 14
Let -4*j**2 - 2048*j - 262144 = 0. Calculate j.
-256
Factor -3*y**2/5 - 57*y + 582/5.
-3*(y - 2)*(y + 97)/5
Factor -5*a**3 - 305*a**2 - 595*a