= 0. Calculate h.
-21, -2, 1
Factor 2*f**3/7 - 76*f**2/7 + 128*f - 3072/7.
2*(f - 16)**2*(f - 6)/7
Suppose -2*u**5/15 - 2*u**4/15 + 62*u**3/15 + 2*u**2/15 - 4*u = 0. Calculate u.
-6, -1, 0, 1, 5
Factor -4*w**3/5 + 1232*w**2/5 - 244*w - 2456/5.
-4*(w - 307)*(w - 2)*(w + 1)/5
Factor -3*o**2/5 - 192*o/5.
-3*o*(o + 64)/5
Factor y**3 - 7*y**2 + 10*y.
y*(y - 5)*(y - 2)
Determine j so that -27*j**5 - 18*j**4 + 285*j**3 - 300*j**2 + 12*j + 48 = 0.
-4, -1/3, 2/3, 1, 2
Determine q so that 2*q**4/5 + 2*q**3 - 12*q**2/5 = 0.
-6, 0, 1
Solve 5*p**2 + 500*p - 505 = 0.
-101, 1
Find g such that -147*g**5/4 - 9765*g**4/4 - 164169*g**3/4 - 63867*g**2/4 + 19404*g - 3267 = 0.
-33, -1, 2/7
Factor 2*t**3/3 - 16*t**2 + 46*t/3.
2*t*(t - 23)*(t - 1)/3
Solve -v**2 + 280*v - 19600 = 0 for v.
140
Factor -5*o**2 - 5*o + 60.
-5*(o - 3)*(o + 4)
Let -4*q**2 - 23392*q - 34199104 = 0. Calculate q.
-2924
What is l in -3*l**4/5 + 2976*l**3/5 - 1107072*l**2/5 + 183035904*l/5 - 11348226048/5 = 0?
248
Factor c**5 - 2*c**4.
c**4*(c - 2)
Determine n, given that n**3 - 2*n**2 - 15*n + 36 = 0.
-4, 3
Factor -2*k**2/7 - 4*k/7 - 2/7.
-2*(k + 1)**2/7
Solve 12*j**4 - 152*j**3 + 444*j**2 - 448*j + 144 = 0 for j.
2/3, 1, 2, 9
Solve 4*h**4 - 24*h**3 - 12*h**2 + 224*h - 192 = 0.
-3, 1, 4
Determine f so that -2*f**2/19 + 32*f/19 - 128/19 = 0.
8
Let 5*j**3 - 655*j**2 - 1325*j - 665 = 0. What is j?
-1, 133
Let -2*j**3 - 204*j**2 - 6936*j - 78608 = 0. What is j?
-34
Let 3*r**4 - 453*r**3 - 2790*r**2 - 5628*r - 3768 = 0. Calculate r.
-2, 157
Factor -2*x**2 - 12*x - 16.
-2*(x + 2)*(x + 4)
What is q in 5*q**3 + 75*q**2 - 110*q - 480 = 0?
-16, -2, 3
Factor 6*h**3/7 + 2*h**2 - 8/7.
2*(h + 1)*(h + 2)*(3*h - 2)/7
Factor b**5 - 390*b**4 + 37633*b**3 + 76440*b**2 + 38416*b.
b*(b - 196)**2*(b + 1)**2
What is k in k**5 + 2*k**4 - k**3 - 2*k**2 = 0?
-2, -1, 0, 1
Determine q so that 2*q**4/17 + 8*q**3/17 - 2*q**2/17 - 8*q/17 = 0.
-4, -1, 0, 1
Factor 4*x**5 - 12*x**4 - 28*x**3 + 28*x**2 + 72*x + 32.
4*(x - 4)*(x - 2)*(x + 1)**3
Factor -l**5 + l**4 + 123*l**3 - 365*l**2 + 362*l - 120.
-(l - 10)*(l - 1)**3*(l + 12)
Factor q**2 + 3896*q - 7796.
(q - 2)*(q + 3898)
Factor -2*u**3 + 60*u**2 - 162*u.
-2*u*(u - 27)*(u - 3)
Factor -g**3 + 15*g**2 - 68*g + 96.
-(g - 8)*(g - 4)*(g - 3)
Factor -15*d**3 + 4760*d**2 - 376035*d - 252810.
-5*(d - 159)**2*(3*d + 2)
Factor 5*v**2 + 1245*v + 4900.
5*(v + 4)*(v + 245)
Suppose -g**2/6 + 239*g/6 - 233 = 0. Calculate g.
6, 233
Factor 3*w**3 - 3*w.
3*w*(w - 1)*(w + 1)
Solve n**2 + 5*n + 6 = 0.
-3, -2
Find v such that -4*v**2 - 188*v + 192 = 0.
-48, 1
Factor -2*f**2 + 8*f + 154.
-2*(f - 11)*(f + 7)
Solve 2*o**4 - 20*o**3 + 74*o**2 - 120*o + 72 = 0 for o.
2, 3
Factor 112*v**3 - 20*v**2 - 12*v.
4*v*(4*v + 1)*(7*v - 3)
Find k such that -6*k**2 + 2661*k - 1329 = 0.
1/2, 443
Factor -6*n**2/7 + 138*n/7.
-6*n*(n - 23)/7
Factor -w**3/4 + w**2/2 + w - 2.
-(w - 2)**2*(w + 2)/4
Factor -g**2/4 - 6*g - 11.
-(g + 2)*(g + 22)/4
Factor -2*d**3/7 + 170*d**2/7 - 24*d.
-2*d*(d - 84)*(d - 1)/7
Factor -v**3/8 + 17*v**2/2 + 211*v/8 + 71/4.
-(v - 71)*(v + 1)*(v + 2)/8
Factor -2*r**4 + 16*r**3 + 976*r**2 - 4032*r - 127008.
-2*(r - 18)**2*(r + 14)**2
Solve -l**3/3 = 0.
0
Factor c**5/3 + 7*c**4/3 + 10*c**3/3 - 2*c**2/3 - 11*c/3 - 5/3.
(c - 1)*(c + 1)**3*(c + 5)/3
Factor 9*w**2 - 62*w + 88.
(w - 2)*(9*w - 44)
What is g in 22*g**3/7 + 244*g**2/7 + 22*g/7 = 0?
-11, -1/11, 0
Determine b so that -2*b**4/13 + 2*b**2/13 = 0.
-1, 0, 1
Suppose 2*j**4/3 + 4*j**3/3 - 6*j**2 - 4*j/3 + 16/3 = 0. Calculate j.
-4, -1, 1, 2
Let -2*x**2 - 656*x - 53792 = 0. What is x?
-164
Factor z**2/4 + 7*z/4 - 9/2.
(z - 2)*(z + 9)/4
Let f**5 + f**4 - 19*f**3 - 13*f**2 + 78*f + 72 = 0. What is f?
-4, -2, -1, 3
Solve -3*i**3/2 + 87*i**2/2 - 120*i + 78 = 0.
1, 2, 26
Factor 5*x**2/3 + 17*x/3 + 2.
(x + 3)*(5*x + 2)/3
Factor 4*s**2 - 1720*s + 184900.
4*(s - 215)**2
Suppose -3*d**4 + 129*d**2 - 126*d = 0. What is d?
-7, 0, 1, 6
Let 4*d**4 + 20*d**3 + 8*d**2 - 32*d = 0. Calculate d.
-4, -2, 0, 1
Find l, given that -l**3 - 91*l**2 - 2024*l + 2116 = 0.
-46, 1
Factor 294*m**3 - 364*m**2 + 136*m - 16.
2*(3*m - 2)*(7*m - 2)**2
Factor -5*r**3 + 2685*r**2 - 361800*r + 359120.
-5*(r - 268)**2*(r - 1)
Determine t, given that 4*t**3 - 80*t**2 + 204*t = 0.
0, 3, 17
Factor 3*s**3 - 637*s**2 + 33920*s - 11236.
(s - 106)**2*(3*s - 1)
Factor 2*n**5/11 + 42*n**4/11 + 114*n**3/11 + 10*n**2 + 36*n/11.
2*n*(n + 1)**3*(n + 18)/11
Solve 2*q**2/3 + 188*q + 13254 = 0 for q.
-141
Solve 10*c**2/3 + 26*c/7 + 8/21 = 0 for c.
-1, -4/35
Determine d so that 2*d**2/7 + 20*d/7 + 32/7 = 0.
-8, -2
Factor 2*x**3 - 8*x**2.
2*x**2*(x - 4)
Factor -4*g**2 + 52*g - 120.
-4*(g - 10)*(g - 3)
What is h in 39*h**5 + 2*h**4 - 117*h**3 - 84*h**2 - 4*h = 0?
-1, -2/39, 0, 2
Let 5*t**5/2 + 15*t**4 - 15*t**3/2 - 40*t**2 + 30*t = 0. Calculate t.
-6, -2, 0, 1
Factor -3*g**2 - 738*g - 45387.
-3*(g + 123)**2
Factor 5*o**5 + 10*o**4 - 10*o**2 - 5*o.
5*o*(o - 1)*(o + 1)**3
What is t in 20*t**5 + 2335*t**4 - 2965*t**3 - 1745*t**2 + 2945*t - 590 = 0?
-118, -1, 1/4, 1
Determine i, given that 2*i**4/3 - 148*i**3/3 + 1360*i**2 - 49600*i/3 + 224000/3 = 0.
14, 20
Let -2*z**4/15 + 2*z**3/15 + 62*z**2/15 - 2*z/15 - 4 = 0. Calculate z.
-5, -1, 1, 6
Factor 5*n**4 + 15*n**3.
5*n**3*(n + 3)
Let -5*y**2 - 75*y + 170 = 0. What is y?
-17, 2
Factor 5*o**3 + 50*o**2 + 165*o + 180.
5*(o + 3)**2*(o + 4)
Find q, given that -2*q**5/7 + 8*q**4/7 + 2*q**3/7 - 32*q**2/7 + 24*q/7 = 0.
-2, 0, 1, 2, 3
Factor -2*t**3/5 + 142*t**2/5 + 2*t/5 - 142/5.
-2*(t - 71)*(t - 1)*(t + 1)/5
Factor -2*m**2/3 + 68*m/3 - 80.
-2*(m - 30)*(m - 4)/3
Factor b**3/5 + 17*b**2/5 + 16*b/5.
b*(b + 1)*(b + 16)/5
Factor o**3/3 + 242*o**2/3 + 395*o.
o*(o + 5)*(o + 237)/3
Suppose 5*w**5 - 165*w**4 + 1655*w**3 - 3675*w**2 - 13000*w - 7500 = 0. What is w?
-1, 10, 15
Factor 2*v**3/7 - 14*v**2 + 1248*v/7 - 1152/7.
2*(v - 24)**2*(v - 1)/7
Factor 3*a**4 - 12*a**3 - 186*a**2 - 468*a - 297.
3*(a - 11)*(a + 1)*(a + 3)**2
Suppose 3*w**5 + 15*w**4 + 15*w**3 - 15*w**2 - 18*w = 0. What is w?
-3, -2, -1, 0, 1
Let -4*u**2 + 1200*u - 90000 = 0. What is u?
150
What is i in 3*i**2 - 396*i = 0?
0, 132
Solve -3*j**3 - 1560*j**2 + 3129*j - 1566 = 0.
-522, 1
Find p such that -18*p**4/7 - 348*p**3/7 + 136*p**2/7 + 348*p/7 - 118/7 = 0.
-59/3, -1, 1/3, 1
Solve d**2/2 - 55*d/2 + 27 = 0 for d.
1, 54
Solve -2*o**4 - 94*o**3 + 6*o**2 + 286*o + 188 = 0 for o.
-47, -1, 2
Let c**2/5 + 49*c/5 - 156/5 = 0. Calculate c.
-52, 3
Determine v so that v**2 + 27*v + 152 = 0.
-19, -8
Determine g, given that -g**3/2 + 139*g**2/2 + 5593*g/2 + 49997/2 = 0.
-17, 173
Solve -15*z**3 + 85*z**2 + 135*z + 35 = 0 for z.
-1, -1/3, 7
Suppose -10*g**5/3 - 38*g**4/3 - 22*g**3/3 + 46*g**2/3 + 32*g/3 - 8/3 = 0. What is g?
-2, -1, 1/5, 1
Factor a**3 - 451*a**2 + 4435*a - 11025.
(a - 441)*(a - 5)**2
Find r such that r**3/9 - 3*r - 6 = 0.
-3, 6
Factor -3*x**5 - 6*x**4 + 108*x**3 - 264*x**2 + 192*x.
-3*x*(x - 2)**3*(x + 8)
Find g, given that 5*g**3/3 + 2650*g**2 + 1404500*g + 744385000/3 = 0.
-530
Solve 2*p**2/13 + 17048*p/13 + 36329288/13 = 0 for p.
-4262
Factor -2*b**5 - 12*b**4 - 24*b**3 - 20*b**2 - 6*b.
-2*b*(b + 1)**3*(b + 3)
What is h in 3*h**4/8 + 7*h**3/8 - 9*h**2/2 + 5*h/2 = 0?
-5, 0, 2/3, 2
Factor -10*j**3/7 - 4*j**2/7 + 40*j/7 + 16/7.
-2*(j - 2)*(j + 2)*(5*j + 2)/7
Factor 5*d**3 - 5*d**2 - 10*d.
5*d*(d - 2)*(d + 1)
Determine k so that -14*k**3/9 + 46*k**2/9 - 4*k/3 = 0.
0, 2/7, 3
Determine b, given that -2*b**3/9 + 1012*b**2/9 + 2030*b/9 + 1016/9 = 0.
-1, 508
Suppose -p**5/7 - 744*p**4/7 - 136888*p**3/7 + 556512*p**2/7 - 559504*p/7 = 0. Calculate p.
-374, 0, 2
Factor -p**4/3 + 28*p**3/3 - 26*p**2 - 1972*p/3 + 2023/3.
-(p - 17)**2*(p - 1)*(p + 7)/3
Suppose i**4/3 + 2*i**3/3 - 20*i**2/3 - 22*i - 15 = 0. Calculate i.
-3, -1, 5
Factor 4*k**3/7 - 2432*k**2/7 - 4*k/7 + 2432/7.
4*(k - 608)*(k - 1)*(k + 1)/7
Factor -4*f**3 - 332*f**2 + 4*f + 332.
-4*(f - 1)*(f + 1)*(f + 83)
Suppose -2*q**3/7 - 272*q**2/7 - 258*q/7 + 1620/7 = 0. Calculate q.
-135, -3, 2
Factor -12*a**3 + 98*a**2 + 92*a - 18.
-2*(a - 9)*(a + 1)*(6*a - 1)
Factor -2*d**5 + 6*d**4 + 12*d**3 - 20*d**2 - 42*d - 18.
-2*(d - 3)**2*(d + 1)**3
Find b such that -b**3/4 + 7*b**2/2 - 49*b/4 + 9 = 0.
1, 4, 9
Find i such that -4*i**3 - 112*i**2 + 684*i + 792 = 0.
-