so that 25*l**4 - 90*l**3 + 85*l**2 - 20 = 0.
-2/5, 1, 2
Determine d so that -2*d**2/9 - 2120*d - 5056200 = 0.
-4770
Let -2*p**2/5 - 432*p/5 - 86 = 0. What is p?
-215, -1
Solve 4*f**2/5 - 108*f/5 = 0.
0, 27
Factor 3*r**4 - 42*r**3 - 93*r**2 - 48*r.
3*r*(r - 16)*(r + 1)**2
Factor -3*l**2 + 3*l.
-3*l*(l - 1)
Factor 2*k**3/15 + 8*k**2/5 + 2*k/3 - 44/5.
2*(k - 2)*(k + 3)*(k + 11)/15
Factor -2*f**3/9 - 32*f**2/3 - 40*f - 352/9.
-2*(f + 2)**2*(f + 44)/9
Let -16*u**5/11 - 52*u**4/11 - 50*u**3/11 - 8*u**2/11 + 6*u/11 = 0. What is u?
-3/2, -1, 0, 1/4
Let 378*x**3/13 + 618*x**2/13 + 232*x/13 - 8/13 = 0. Calculate x.
-1, -2/3, 2/63
Determine w, given that 2*w**4/3 + 16*w**3/3 + 26*w**2/3 + 4*w = 0.
-6, -1, 0
Solve -243*h**4/5 + 864*h**3/5 + 3336*h**2/5 + 1344*h/5 + 144/5 = 0 for h.
-2, -2/9, 6
Find d, given that d**5 - 8*d**4 + 9*d**3 + 26*d**2 - 52*d + 24 = 0.
-2, 1, 2, 6
Solve b**3 - 79*b**2 + 2075*b - 18125 = 0.
25, 29
Solve 235298*v**5 + 942564*v**4 - 700404*v**3 - 4239472*v**2 - 24702*v - 36 = 0.
-3, -1/343, 2
Find j such that 8*j**5/7 + 166*j**4/7 + 750*j**3/7 - 1166*j**2/7 + 242*j/7 = 0.
-11, 0, 1/4, 1
Solve -2*d**5 + 76*d**4 - 460*d**3 + 800*d**2 + 222*d - 1116 = 0.
-1, 2, 3, 31
Factor 2*p**3/7 + 218*p**2 + 290320*p/7 - 291848/7.
2*(p - 1)*(p + 382)**2/7
Solve k**2/3 + 29*k/3 = 0.
-29, 0
Find g such that g**4 - 45*g**3 + 339*g**2 - 547*g + 252 = 0.
1, 7, 36
What is r in -8405*r**5 - 177325*r**4 + 184480*r**3 + 389080*r**2 + 36560*r + 880 = 0?
-22, -1, -2/41, 2
Find u, given that u**2/2 - 228*u + 25992 = 0.
228
Determine g so that -g**3 - 493*g**2 - 59511*g + 310005 = 0.
-249, 5
What is f in -4*f**2 + 36*f - 72 = 0?
3, 6
Determine i, given that 5*i**4 - 60*i**3 + 155*i**2 + 60*i - 160 = 0.
-1, 1, 4, 8
Let 3*q**5 - 48*q**4 - 105*q**3 - 54*q**2 = 0. Calculate q.
-1, 0, 18
Let -4*y**5 - 484*y**4 + 1492*y**3 + 484*y**2 - 1488*y = 0. What is y?
-124, -1, 0, 1, 3
Factor 4*l**4/5 - 16*l**3/5 - 4*l**2.
4*l**2*(l - 5)*(l + 1)/5
Factor -15*f**3 + 396*f**2 + 1764*f + 1824.
-3*(f + 2)**2*(5*f - 152)
Factor -4*n**3 + 28*n**2 - 144.
-4*(n - 6)*(n - 3)*(n + 2)
Factor a**5 + 525*a**4 + 69168*a**3 + 68644*a**2.
a**2*(a + 1)*(a + 262)**2
Solve 4*b**2/5 + 168*b/5 + 164/5 = 0.
-41, -1
Factor -2*j**2/13 + 10*j/13 + 28/13.
-2*(j - 7)*(j + 2)/13
Factor 147*d**3 + 103173*d**2 + 18051480*d - 18154800.
3*(d - 1)*(7*d + 2460)**2
Let -32*m**4/13 - 94*m**3/13 + 6*m**2/13 = 0. What is m?
-3, 0, 1/16
Factor g**2/2 + 3405*g/2.
g*(g + 3405)/2
Factor -4*h**5 - 24*h**4 - 21*h**3 - 5*h**2.
-h**2*(h + 5)*(2*h + 1)**2
Factor -5*l**3/3 + 260*l**2/3 - 1175*l/3.
-5*l*(l - 47)*(l - 5)/3
Factor -2*x**2 + 2596*x/3 - 576.
-2*(x - 432)*(3*x - 2)/3
Suppose -4*q**4 - 728*q**3 - 39600*q**2 - 313632*q + 18399744 = 0. Calculate q.
-66, 16
Let -z**3 - 1110*z**2 + 6687*z - 10044 = 0. Calculate z.
-1116, 3
Suppose -5*b**4 + 60*b**3 + 15*b**2 - 190*b + 120 = 0. What is b?
-2, 1, 12
Let l**2/6 - 37*l + 4107/2 = 0. What is l?
111
Let 2*h**3 + 20*h**2 - 26*h - 44 = 0. What is h?
-11, -1, 2
Let 5*n**3 - 980*n**2 = 0. What is n?
0, 196
Factor -r**3/2 + 2*r**2 + 6*r.
-r*(r - 6)*(r + 2)/2
Suppose s**4/8 - s**3/8 - s**2/2 + s/2 = 0. Calculate s.
-2, 0, 1, 2
Determine b so that 20*b**5 - 1188*b**4 + 16012*b**3 + 48964*b**2 + 16368*b - 15376 = 0.
-2, -1, 2/5, 31
What is q in -q**2 - 24*q + 25 = 0?
-25, 1
Factor -4*x**3/3 - 16*x**2 - 92*x/3 + 48.
-4*(x - 1)*(x + 4)*(x + 9)/3
Determine t so that -20*t**5/3 - 1342*t**4/3 - 1450*t**3/3 + 136*t**2/3 + 88*t = 0.
-66, -1, -1/2, 0, 2/5
Suppose -q**5/2 + 3*q**4 + 35*q**3/2 + 24*q**2 + 10*q = 0. Calculate q.
-2, -1, 0, 10
What is w in 3*w**5/8 - 135*w**4 + 402*w**3 - 531*w**2/4 - 3219*w/8 + 1071/4 = 0?
-1, 1, 2, 357
Factor -16*z**3 + 70*z**2 - 54*z.
-2*z*(z - 1)*(8*z - 27)
Determine p, given that 2*p**2/3 + 916*p/3 - 306 = 0.
-459, 1
Solve -2*g**4 - 26*g**3 - 86*g**2 - 30*g + 144 = 0.
-8, -3, 1
Factor -r**4/5 + 2*r**3/5.
-r**3*(r - 2)/5
Factor -2*f**2 + 580*f + 1758.
-2*(f - 293)*(f + 3)
Factor -i**2/2 + 61*i/2 - 275.
-(i - 50)*(i - 11)/2
Factor 3*q**4 + 288*q**3 - 588*q**2.
3*q**2*(q - 2)*(q + 98)
Suppose 9*s**5 - 7*s**4 - 38*s**3 + 28*s**2 + 8*s = 0. Calculate s.
-2, -2/9, 0, 1, 2
Factor -2*n**4/3 + 6*n**3 + 44*n**2/3.
-2*n**2*(n - 11)*(n + 2)/3
Let -3*k**5 + 24*k**4 + 186*k**3 + 144*k**2 - 351*k = 0. Calculate k.
-3, 0, 1, 13
Factor 4*i**5 - 3*i**3 - i**2.
i**2*(i - 1)*(2*i + 1)**2
Factor 2*s**4 - 4*s**3 - 6*s**2.
2*s**2*(s - 3)*(s + 1)
Find i, given that 5*i**4 - 15*i**3 - 25*i**2 + 15*i + 20 = 0.
-1, 1, 4
Factor 4*v**2 - 120*v + 704.
4*(v - 22)*(v - 8)
Solve 10*o**5/3 - 172*o**4/3 - 346*o**3/3 + 76*o**2/3 = 0 for o.
-2, 0, 1/5, 19
Solve -3*r**4 + 240*r**3 - 4293*r**2 - 20412*r - 15876 = 0 for r.
-3, -1, 42
Suppose -7*n**2/5 + 106*n/5 + 96/5 = 0. What is n?
-6/7, 16
Determine m, given that 2*m**5/7 - 1730*m**4/7 + 373244*m**3/7 + 376708*m**2/7 - 373246*m/7 - 374978/7 = 0.
-1, 1, 433
Factor 55*w**2 - 17190*w + 9360.
5*(w - 312)*(11*w - 6)
Factor 2*l**4 + 16*l**3 + 12*l**2 - 16*l - 14.
2*(l - 1)*(l + 1)**2*(l + 7)
Factor -5*o**5 - 76*o**4 - 1284*o**3/5 + 1216*o**2/5 - 256*o/5.
-o*(o + 8)**2*(5*o - 2)**2/5
Suppose 4*x**3 + 252*x**2 + 1568*x = 0. Calculate x.
-56, -7, 0
Let 80*w**2 - 79*w - 1 = 0. What is w?
-1/80, 1
Factor 5*y**4 + 110*y**3 + 860*y**2 + 2760*y + 2880.
5*(y + 2)*(y + 6)**2*(y + 8)
Factor 328*h**3 - 1316*h**2 + 1328*h - 16.
4*(h - 2)**2*(82*h - 1)
Suppose 6*g**4/7 + 60*g**3/7 + 24*g**2/7 - 36*g + 162/7 = 0. What is g?
-9, -3, 1
Suppose -4*w**5/3 - 188*w**4/3 - 272*w**3 + 1136*w**2/3 + 5248*w/3 - 1792 = 0. Calculate w.
-42, -4, 1, 2
Determine f so that -f**4/2 + 3*f**3/2 + 109*f**2/2 - 747*f/2 + 630 = 0.
-12, 3, 5, 7
Factor -w**4/6 + 38*w**3/3 - 794*w**2/3 + 912*w - 864.
-(w - 36)**2*(w - 2)**2/6
Determine h so that -3*h**4 - 591*h**3 + 1191*h**2 - 597*h = 0.
-199, 0, 1
Factor 2*l**2 + 988*l + 122018.
2*(l + 247)**2
Factor -2*n**2/3 - 1760*n/9 - 586/9.
-2*(n + 293)*(3*n + 1)/9
Let -348*p**4/11 + 530*p**3/11 - 12*p**2/11 - 174*p/11 + 4/11 = 0. What is p?
-1/2, 2/87, 1
Solve 16*r**5/13 + 140*r**4/13 + 30*r**3 + 270*r**2/13 - 270*r/13 - 162/13 = 0 for r.
-3, -1/2, 3/4
Suppose -32*y**5/11 + 144*y**4/11 - 162*y**3/11 + 56*y**2/11 - 6*y/11 = 0. What is y?
0, 1/4, 1, 3
Suppose -a**5/7 - 3*a**4/7 + 16*a**3/7 + 52*a**2/7 - 64/7 = 0. What is a?
-4, -2, 1, 4
Let x**4 - 2*x**3 - 15*x**2 - 4*x + 20 = 0. What is x?
-2, 1, 5
Factor -3*b**4/2 - 9*b**3/2.
-3*b**3*(b + 3)/2
Factor 3*i**5 - 27*i**3 + 12*i**2 + 36*i.
3*i*(i - 2)**2*(i + 1)*(i + 3)
Factor y**3 - 10*y**2 - 11*y.
y*(y - 11)*(y + 1)
Let -2*m**4/5 - 14*m**3/5 + 54*m**2/5 - 58*m/5 + 4 = 0. What is m?
-10, 1
Let -4*j**3 + 144*j**2 - 276*j + 136 = 0. What is j?
1, 34
Factor -24*v**2 + 20*v + 4.
-4*(v - 1)*(6*v + 1)
Let -5*l**3/2 + 215*l**2 - 425*l/2 = 0. What is l?
0, 1, 85
Determine i, given that -2*i**4 + 24*i**3 + 10*i**2 - 312*i - 440 = 0.
-2, 5, 11
What is w in -4*w**2 - 36*w + 448 = 0?
-16, 7
Let -2*h**2/3 - 70*h/3 - 68/3 = 0. Calculate h.
-34, -1
Factor 3*k**3/2 + 229*k**2/2 - 196*k - 78.
(k - 2)*(k + 78)*(3*k + 1)/2
Let 2*k**3/5 + 2*k**2 + 16*k/5 + 8/5 = 0. Calculate k.
-2, -1
Suppose 4*g**4 + 57*g**3 + 226*g**2 + 213*g + 40 = 0. Calculate g.
-8, -5, -1, -1/4
Suppose -3*y**4 + 201*y**3 - 3240*y**2 = 0. What is y?
0, 27, 40
Solve 3*m**3 + 81*m**2 + 504*m - 588 = 0 for m.
-14, 1
Suppose 4*k**4 - 76*k**3 + 396*k**2 - 324*k = 0. What is k?
0, 1, 9
Find x, given that -9*x**2 + 30*x - 9 = 0.
1/3, 3
Factor 5*k**2 - 185*k + 350.
5*(k - 35)*(k - 2)
Factor 4*p**2 - 32*p + 64.
4*(p - 4)**2
Suppose 4*n**4 + 112*n**3 - 4*n**2 - 112*n = 0. Calculate n.
-28, -1, 0, 1
Factor -z**4/7 + 6*z**3/7 - 22*z/7 - 15/7.
-(z - 5)*(z - 3)*(z + 1)**2/7
Factor -18*i**2 - 104*i + 24.
-2*(i + 6)*(9*i - 2)
Factor -2*m**3/7 + 660*m**2/7 - 72600*m/7 + 2662000/7.
-2*(m - 110)**3/7
Factor 172*d**2/5 - 352*d/5 + 16/5.
4*(d - 2)*(43*d - 2)/5
Factor -3*o**4/2 - 21*o**3/2 - 15*o**2.
-3*o**2*(o + 2)*(o + 5)/2
Find p, given that -p**2/2 - 123*p/2 - 61 = 0.
-122, -1
Factor -2*m**3/11 + 160*m**2/11 + 494*m/11 + 332/11.
-2*(m - 83)*(m + 1)*(m + 2)/11
Factor -5*l**3/6 - 10*l**2/3.
-5*l**2*(l + 4)/6
Determine a so that -a**3 + 7*a**2 + 8*a = 0.
-1, 0, 8
Factor 5*y**5 - 35*y**4 + 90*y**3 - 100*y**2 + 40*y.
5*y*(y - 2)**3*(y - 1)
Determine q so that 36*