se 3*m**3/2 + 1749*m**2 + 20907*m/2 + 15660 = 0. Calculate m.
-1160, -3
Solve 4*h**2/5 + 8*h/5 - 32/5 = 0 for h.
-4, 2
Determine p, given that -p**4 - 281*p**3 - 19312*p**2 + 60492*p = 0.
-142, 0, 3
Let f**2/3 - 421*f/3 + 140 = 0. What is f?
1, 420
Factor 18*t**3 + 21*t**2 - 84*t + 45.
3*(t - 1)*(t + 3)*(6*t - 5)
Let -b**3/4 - 13*b**2/4 - 39*b/4 - 27/4 = 0. Calculate b.
-9, -3, -1
Determine q so that 8*q**3 + 116*q**2 + 148*q - 104 = 0.
-13, -2, 1/2
Factor 4*b**3/5 - 32*b**2/5 + 4*b + 56/5.
4*(b - 7)*(b - 2)*(b + 1)/5
Factor q**2 + 53*q.
q*(q + 53)
Factor -12*j**3 - 688*j**2 + 2660*j - 1464.
-4*(j - 3)*(j + 61)*(3*j - 2)
Solve 4*u**4/9 + 152*u**3/9 + 48*u**2 + 424*u/9 + 140/9 = 0 for u.
-35, -1
Suppose -75*f**2 + 2090*f + 280 = 0. Calculate f.
-2/15, 28
Factor 2*v**3/7 - 44*v**2/7 - 200*v/7 - 208/7.
2*(v - 26)*(v + 2)**2/7
What is p in 5*p**5 + 10*p**4 - 285*p**3 - 850*p**2 - 560*p = 0?
-7, -2, -1, 0, 8
Factor -5*m**5/3 - 30*m**4 + 140*m**3 - 440*m**2/3.
-5*m**2*(m - 2)**2*(m + 22)/3
What is k in -5*k**3 + 115*k**2 - 855*k + 2025 = 0?
5, 9
Factor b**2 - 132*b + 4356.
(b - 66)**2
Factor -21*g**3 - 678*g**2 - 843*g - 186.
-3*(g + 1)*(g + 31)*(7*g + 2)
Let 5*m**3 + 135*m**2 - 140*m = 0. What is m?
-28, 0, 1
Let 3*i**4 + 12*i**3 + 6*i**2 - 12*i - 9 = 0. Calculate i.
-3, -1, 1
Suppose -3*f**2 - 42*f + 153 = 0. What is f?
-17, 3
Solve 5*j**4 - 165*j**3 + 155*j**2 + 165*j - 160 = 0 for j.
-1, 1, 32
What is t in 5*t**4 + 75*t**3 + 85*t**2 - 2115*t - 4050 = 0?
-9, -2, 5
Suppose -3*x**2 - 3*x = 0. What is x?
-1, 0
Find s such that -3*s**3/7 - 30*s**2/7 - 99*s/7 - 108/7 = 0.
-4, -3
Determine b, given that 3*b**4 + 186*b**3 + 3780*b**2 + 31800*b + 96000 = 0.
-32, -10
Factor 2*q**2 - 134*q + 260.
2*(q - 65)*(q - 2)
Let s**2/5 - 333*s/5 - 334/5 = 0. What is s?
-1, 334
Let 4*n**4 - 756*n**3 + 33772*n**2 + 185076*n + 150544 = 0. Calculate n.
-4, -1, 97
Factor -2*x**2 - 54*x - 100.
-2*(x + 2)*(x + 25)
Solve -2*b**2 - 850*b/9 - 188/9 = 0.
-47, -2/9
Determine r so that -2*r**4/15 + 32*r**3/15 + 12*r**2/5 - 32*r/15 - 34/15 = 0.
-1, 1, 17
Find a, given that a**5 - 21*a**4/4 + 17*a**3/4 + 17*a**2/4 - 21*a/4 + 1 = 0.
-1, 1/4, 1, 4
Let -4*m**2/9 - 778*m/3 - 1166/9 = 0. Calculate m.
-583, -1/2
What is a in -2*a**2/5 - 640*a - 256000 = 0?
-800
Find k, given that -k**4/3 - 52*k**3/3 - 188*k**2 + 2912*k/3 - 3136/3 = 0.
-28, 2
Factor 4*h**3/3 - 2576*h**2 + 1658944*h - 1068359936/3.
4*(h - 644)**3/3
Find f such that -5*f**3 + 230*f**2 - 1240*f + 1600 = 0.
2, 4, 40
Factor -4*u**5 + 1272*u**4 - 117364*u**3 + 2582160*u**2 - 16483600*u.
-4*u*(u - 145)**2*(u - 14)**2
Factor -2*x**3/5 - 782*x**2 - 1905134*x/5 + 5750646/5.
-2*(x - 3)*(x + 979)**2/5
Find q such that -3*q**4/8 + 3*q**3/4 + 33*q**2/8 - 9*q/2 = 0.
-3, 0, 1, 4
Solve y**4 - 12*y**3 + 45*y**2 - 58*y + 24 = 0 for y.
1, 4, 6
Factor -3*g**3 - 15*g**2 + 24*g + 36.
-3*(g - 2)*(g + 1)*(g + 6)
Find q such that -q**3/4 - q**2 + q/4 + 1 = 0.
-4, -1, 1
Factor 4*v**2/5 + 356*v/5 + 1032/5.
4*(v + 3)*(v + 86)/5
Factor 2*f**5/21 - 14*f**4 + 4596*f**3/7 - 58140*f**2/7 - 483786*f/7 - 795906/7.
2*(f - 51)**3*(f + 3)**2/21
Factor -4*j**2/3 - 32*j/3 - 16.
-4*(j + 2)*(j + 6)/3
Determine z, given that 2*z**3 - 56*z**2 + 264*z = 0.
0, 6, 22
Factor -3*y**4/5 + 57*y**3/5 - 102*y**2/5.
-3*y**2*(y - 17)*(y - 2)/5
Solve -2*y**4/9 - 110*y**3/9 - 514*y**2/9 - 706*y/9 - 100/3 = 0.
-50, -3, -1
Determine d so that 2*d**4/3 - 2*d**3 - 2*d**2 + 14*d/3 + 4 = 0.
-1, 2, 3
Suppose -2*p**4/7 + 2*p**2 - 12*p/7 = 0. Calculate p.
-3, 0, 1, 2
Determine y, given that -4*y**3/5 - 42*y**2/5 - 10*y + 36/5 = 0.
-9, -2, 1/2
Suppose 2*n**2 + 104*n + 102 = 0. Calculate n.
-51, -1
Factor -2*t**3 + 8*t**2 + 22*t - 60.
-2*(t - 5)*(t - 2)*(t + 3)
Factor -5*h**3 + 535*h**2 - 15555*h + 65025.
-5*(h - 51)**2*(h - 5)
Factor -p**3 + 242*p**2 - 14396*p - 29768.
-(p - 122)**2*(p + 2)
Factor -3*v**4 - 579*v**3 - 1719*v**2 - 1713*v - 570.
-3*(v + 1)**3*(v + 190)
Suppose a**2/3 + 560*a/3 + 78400/3 = 0. Calculate a.
-280
Let -2*d**4 - 9*d**3 - 9*d**2 + d + 3 = 0. What is d?
-3, -1, 1/2
Factor -z**3/5 - z**2/5 + 45*z + 1377/5.
-(z - 17)*(z + 9)**2/5
Factor 2*s**3/3 + 6*s**2 - 44*s/3.
2*s*(s - 2)*(s + 11)/3
Solve -4*d**5/3 - 4*d**4/3 + 8*d**3 - 8*d**2/3 - 20*d/3 + 4 = 0 for d.
-3, -1, 1
Factor -3*j**3/7 - 120*j**2/7 - 969*j/7 + 156.
-3*(j - 1)*(j + 13)*(j + 28)/7
Factor -5*u**2 - 15160*u - 11491280.
-5*(u + 1516)**2
Suppose -2*g**3/9 - 226*g**2/3 + 2048*g/9 - 152 = 0. Calculate g.
-342, 1, 2
Determine y so that 5*y**5 + 45*y**4 + 90*y**3 = 0.
-6, -3, 0
Suppose -20*k**5 - 4552*k**4 - 253496*k**3 + 626528*k**2 - 474260*k + 105800 = 0. Calculate k.
-115, 2/5, 1
Suppose 2*m**2/3 + 88*m/3 + 86/3 = 0. What is m?
-43, -1
Factor -5*l**3/2 - 125*l**2 + 820*l - 1120.
-5*(l - 4)*(l - 2)*(l + 56)/2
What is x in -42*x**4 - 58*x**3 + 384*x**2/7 + 24*x/7 - 32/7 = 0?
-2, -2/7, 1/3, 4/7
Let w**5/3 + 41*w**4/3 + 362*w**3/3 + 988*w**2/3 + 280*w = 0. What is w?
-30, -7, -2, 0
Let 2*m**4/3 - 10*m**3 + 44*m**2 - 232*m/3 + 48 = 0. What is m?
2, 9
Solve -2*k**2/3 + 58*k/3 = 0 for k.
0, 29
Factor s**4 - 37*s**3 + 448*s**2 - 1764*s.
s*(s - 14)**2*(s - 9)
Find p such that 2*p**2/5 - 146*p/5 + 144/5 = 0.
1, 72
Factor 4*p**2/7 - 8*p/7 - 192/7.
4*(p - 8)*(p + 6)/7
Find a such that 2*a**4/15 - 4*a**3/5 - 8*a**2/5 + 112*a/15 + 64/5 = 0.
-2, 4, 6
Let 3*j**5 - 42*j**4 + 159*j**3 - 228*j**2 + 108*j = 0. Calculate j.
0, 1, 2, 9
Find s such that 4*s**3 + 884*s**2/3 - 296*s/3 = 0.
-74, 0, 1/3
Find t, given that 2*t**5/3 + 46*t**4/3 + 404*t**3/3 + 564*t**2 + 1134*t + 882 = 0.
-7, -3
Let h**5/2 - 15*h**4/2 + 61*h**3/2 - 21*h**2/2 - 49*h = 0. What is h?
-1, 0, 2, 7
Factor q**3/3 + 5*q**2 - q/3 - 5.
(q - 1)*(q + 1)*(q + 15)/3
Let 2*h**4/9 + 14*h**3/9 - 20*h**2/9 - 32*h/9 = 0. Calculate h.
-8, -1, 0, 2
Factor j**5/2 + j**4 - 4*j**3.
j**3*(j - 2)*(j + 4)/2
Factor -4*q**2/3 + 5119*q - 3839/3.
-(q - 3839)*(4*q - 1)/3
Find p such that -4*p**4/3 + 52*p**3/3 + 20*p**2/3 - 444*p - 432 = 0.
-4, -1, 9
Factor -5*y**2 - 65*y - 60.
-5*(y + 1)*(y + 12)
Factor 2*z**4/3 - 10*z**3/3 - 44*z**2/3 - 32*z/3.
2*z*(z - 8)*(z + 1)*(z + 2)/3
Solve 2*c**3/7 + 24*c**2/7 - 2*c/7 - 264/7 = 0 for c.
-11, -4, 3
Factor 2*l**4 + 608*l**3 + 46208*l**2.
2*l**2*(l + 152)**2
Suppose -36*t**2 + 75*t - 6 = 0. Calculate t.
1/12, 2
Factor -2*a**3/9 + 1270*a**2/9 - 2534*a/9 + 422/3.
-2*(a - 633)*(a - 1)**2/9
Factor -d**5/4 + 159*d**4/2 - 25597*d**3/4 + 12561*d**2 - 6241*d.
-d*(d - 158)**2*(d - 1)**2/4
Factor -3*p**4 + 33*p**3 - 111*p**2 + 135*p - 54.
-3*(p - 6)*(p - 3)*(p - 1)**2
Factor -2*d**2 - 1492*d + 2992.
-2*(d - 2)*(d + 748)
Let -2*c**2 + 20*c - 32 = 0. Calculate c.
2, 8
Let 4*r**3/7 - 50*r**2/7 - 88*r/7 + 8 = 0. What is r?
-2, 1/2, 14
Factor -5*z**2 + 30*z - 25.
-5*(z - 5)*(z - 1)
Determine k, given that -k**2/2 + 36*k = 0.
0, 72
Suppose -3*l**3/2 + 21*l/2 - 9 = 0. What is l?
-3, 1, 2
Determine d, given that d**3/4 - 2*d**2 + 3*d = 0.
0, 2, 6
Solve 4*t**4 - 108*t**3 + 100*t**2 + 108*t - 104 = 0 for t.
-1, 1, 26
Suppose -45*f**4 + 354*f**3 - 852*f**2 + 600*f + 96 = 0. Calculate f.
-2/15, 2, 4
Find g, given that -3*g**3/7 + 36*g/7 + 48/7 = 0.
-2, 4
Solve 3*l**4/4 - 21*l**3/4 - 6*l**2 = 0.
-1, 0, 8
Find w, given that 3*w**5 + 927*w**4 + 95478*w**3 + 3277254*w**2 - 95481*w - 3278181 = 0.
-103, -1, 1
Factor -2*v**3 + 6*v**2 + 8*v - 24.
-2*(v - 3)*(v - 2)*(v + 2)
Solve -2*x**3 + 420*x**2 + 422*x = 0.
-1, 0, 211
Let -9*x**5/5 - 19*x**4/5 + 7*x**3/5 + 19*x**2/5 + 2*x/5 = 0. Calculate x.
-2, -1, -1/9, 0, 1
Determine s, given that 5*s**2/2 + 385*s/2 + 375 = 0.
-75, -2
Solve -2*q**2/3 - 728*q/3 = 0 for q.
-364, 0
Find m, given that -2*m**2/13 - 42*m/13 - 108/13 = 0.
-18, -3
Suppose 3*x**5 + 24*x**4 + 39*x**3 - 78*x**2 - 192*x - 96 = 0. Calculate x.
-4, -1, 2
Solve o**3/5 - 17*o**2 + 1763*o/5 + 1849/5 = 0 for o.
-1, 43
Factor -125*g**5 + 3400*g**4 - 25070*g**3 + 26520*g**2 - 7605*g.
-5*g*(g - 13)**2*(5*g - 3)**2
Factor 58*n**3/3 + 4*n**2/3 - 58*n/3 - 4/3.
2*(n - 1)*(n + 1)*(29*n + 2)/3
Factor 5*x**3 + 40*x**2 + 80*x.
5*x*(x + 4)**2
Factor -5*a**3 - 55*a**2 - 130*a - 80.
-5*(a + 1)*(a + 2)*(a + 8)
Factor -2*p**4/3 - 10*p**3 - 48*p**2 - 224*p/3.
-2*p*(p + 4)**2*(p + 7)/3
Factor 123*c**3 - 498*c**2 + 516*c - 24.
3*(c - 2)**2*(41*c - 2)
Factor m**4 - m**3 - 4*m**2 + 4*m.
