
Find i such that 3*i**5 - 39*i**4 - 141*i**3 - 57*i**2 + 138*i + 96 = 0.
-2, -1, 1, 16
Factor -3*q**2/7 + 720*q/7 - 43200/7.
-3*(q - 120)**2/7
Determine i, given that i**4/4 - 20*i**3 + 759*i**2/2 + 820*i + 1681/4 = 0.
-1, 41
Factor 9*n**3 + 843*n**2 - 1137*n + 285.
3*(n - 1)*(n + 95)*(3*n - 1)
Find b, given that -22*b**5 - 80*b**4 + 146*b**3 + 204*b**2 = 0.
-51/11, -1, 0, 2
What is g in 3*g**4 + 144*g**3 - 312*g**2 - 576*g + 1200 = 0?
-50, -2, 2
Factor b**5/2 + 73*b**4 + 6903*b**3/2 + 47725*b**2 - 238750*b + 187500.
(b - 3)*(b - 1)*(b + 50)**3/2
Factor -4*j**2/7 + 64/7.
-4*(j - 4)*(j + 4)/7
Factor 3*q**5/8 + 3*q**4/4 - 9*q**3/4 - 15*q**2/2 - 57*q/8 - 9/4.
3*(q - 3)*(q + 1)**3*(q + 2)/8
Let 2*s**4/9 + 10*s**3/3 - 4*s**2 - 64*s/9 = 0. What is s?
-16, -1, 0, 2
Factor -5*b**4 - 45*b**3 - 130*b**2 - 120*b.
-5*b*(b + 2)*(b + 3)*(b + 4)
Factor -g**2 - 9*g - 81/4.
-(2*g + 9)**2/4
Factor -r**3/3 - 103*r**2 - 308*r/3.
-r*(r + 1)*(r + 308)/3
Factor -4*r**3 - 92*r**2 - 704*r - 1792.
-4*(r + 7)*(r + 8)**2
Solve -15*u**5 + 48*u**4 - 54*u**3 + 24*u**2 - 3*u = 0.
0, 1/5, 1
What is n in 2*n**4 + 4*n**3 - 6*n**2 - 8*n + 8 = 0?
-2, 1
Determine a so that 2*a**2/9 - 38*a/9 + 4 = 0.
1, 18
What is z in -14*z**5 + 24*z**4 + 232*z**3 - 384*z**2 - 128*z = 0?
-4, -2/7, 0, 2, 4
Factor o**3/2 - 11*o**2/4 + o/2 + 15/4.
(o - 5)*(o + 1)*(2*o - 3)/4
What is k in -2*k**5/3 + 11*k**4/6 + 31*k**3/6 - 101*k**2/6 + 15*k/2 + 3 = 0?
-3, -1/4, 1, 2, 3
Factor 4*l**3 - 2232*l**2/5 + 61824*l/5 + 25088/5.
4*(l - 56)**2*(5*l + 2)/5
Suppose 4*g**5 - 68*g**4 + 312*g**3 - 128*g**2 - 512*g = 0. Calculate g.
-1, 0, 2, 8
Suppose 2*v**5/5 - 6*v**4/5 - 4*v**3 + 104*v**2/5 - 144*v/5 + 64/5 = 0. Calculate v.
-4, 1, 2
What is t in 4*t**4 + 24*t**3 - 128*t = 0?
-4, 0, 2
Determine z so that 2*z**2/17 + 152*z/17 + 150/17 = 0.
-75, -1
Factor -w**5 - 5*w**4 - 4*w**3 + 16*w**2 + 32*w + 16.
-(w - 2)*(w + 1)*(w + 2)**3
Factor 3*n**4 - 3*n**3 - 78*n**2 - 72*n.
3*n*(n - 6)*(n + 1)*(n + 4)
Solve 4*s**4 + 60*s**3 + 252*s**2 + 196*s = 0 for s.
-7, -1, 0
Factor 4*j**2/3 - 14696*j/3.
4*j*(j - 3674)/3
Factor 4*p**2 + 44*p - 104.
4*(p - 2)*(p + 13)
Factor -2*q**4 + 12*q**3 - 18*q**2 + 8*q.
-2*q*(q - 4)*(q - 1)**2
Determine b so that 2290*b**2/7 - 4576*b/7 - 8/7 = 0.
-2/1145, 2
What is t in -5*t**3 - 515*t**2 - 13515*t - 13005 = 0?
-51, -1
Factor 2*d**5/3 - 100*d**4/3 + 376*d**3/3 - 368*d**2/3.
2*d**2*(d - 46)*(d - 2)**2/3
Find g, given that -2*g**3/9 + 20*g**2/9 + 38*g = 0.
-9, 0, 19
Factor 5*c**3/6 + 31*c**2/12 - 17*c/6 + 2/3.
(c + 4)*(2*c - 1)*(5*c - 2)/12
Factor -q**5/8 + q**3/4 - q/8.
-q*(q - 1)**2*(q + 1)**2/8
Factor -2*j**3/3 + 7*j**2/3 + 13*j/3 - 6.
-(j - 1)*(j + 2)*(2*j - 9)/3
Factor 3*z**2 - 534*z + 23763.
3*(z - 89)**2
Factor -3*f**2/8 - 105*f/2 - 3675/2.
-3*(f + 70)**2/8
Solve -4*b**2/3 - 72*b - 2432/3 = 0 for b.
-38, -16
Solve 2*h**5 + 16*h**4 + 6*h**3 - 64*h**2 - 56*h = 0 for h.
-7, -2, -1, 0, 2
Determine u, given that -u**3 - 5*u**2 + 44*u - 60 = 0.
-10, 2, 3
Find u, given that 2*u**2 - 2884*u = 0.
0, 1442
What is t in -t**4/8 + 75*t**3/8 - 73*t**2/4 = 0?
0, 2, 73
Solve -4*w**4/7 + 52*w**3/7 + 12*w**2/7 - 148*w/7 - 104/7 = 0.
-1, 2, 13
Factor -2*i**4 - 4*i**3 + 22*i**2 + 24*i - 72.
-2*(i - 2)**2*(i + 3)**2
Factor -1600*s**3 + 3680*s**2 + 924*s - 4356.
-4*(s + 1)*(20*s - 33)**2
Factor 5*f**2/3 - 230*f/3 + 75.
5*(f - 45)*(f - 1)/3
Determine y, given that y**3 + 7*y**2 - 30*y = 0.
-10, 0, 3
Determine q so that -77*q**2/4 + 541*q/4 - 7/2 = 0.
2/77, 7
Let -4*f**3/9 - 244*f**2/3 - 728*f/9 = 0. Calculate f.
-182, -1, 0
Solve -2*l**5/5 - 28*l**4/5 - 24*l**3 - 144*l**2/5 = 0 for l.
-6, -2, 0
Factor 4*p**4 - 48*p**3 - 244*p**2 - 192*p.
4*p*(p - 16)*(p + 1)*(p + 3)
Factor u**3 + 107*u**2 + 2808*u - 2916.
(u - 1)*(u + 54)**2
Factor -24*o**5 + 214*o**4 - 630*o**3 + 594*o**2 + 54*o.
-2*o*(o - 3)**3*(12*o + 1)
Determine t so that -2*t**4/11 - 216*t**3/11 - 5384*t**2/11 + 24192*t/11 - 25088/11 = 0.
-56, 2
Let -21*f**2/4 - f/2 = 0. Calculate f.
-2/21, 0
Solve x**4 + 2*x**3 - 2*x - 1 = 0 for x.
-1, 1
Find x, given that -x**2/2 - 2*x + 5/2 = 0.
-5, 1
Suppose -5*x**3 - 135*x**2 + 4200*x - 23500 = 0. What is x?
-47, 10
Determine y so that -y**4 - 2*y**3 + 3*y**2 + 8*y + 4 = 0.
-2, -1, 2
Factor 2*f**5/9 + 4*f**4/9 + 2*f**3/9.
2*f**3*(f + 1)**2/9
Factor 2*n**4/17 - 48*n**3/17 + 396*n**2/17 - 1296*n/17 + 1458/17.
2*(n - 9)**2*(n - 3)**2/17
Find v, given that -v**4 + v**3 + 7*v**2 - 13*v + 6 = 0.
-3, 1, 2
Factor -4*o**2 - 3784*o + 3788.
-4*(o - 1)*(o + 947)
Solve -2*n**4/13 + 40*n**3/13 + 2*n**2/13 - 40*n/13 = 0 for n.
-1, 0, 1, 20
Let -2*j**3/9 + 38*j**2/9 - 22*j + 18 = 0. What is j?
1, 9
Suppose -t**3 - 30*t**2 - 300*t - 1000 = 0. What is t?
-10
Factor -5*w**3 - 25*w**2 + 85*w + 105.
-5*(w - 3)*(w + 1)*(w + 7)
Find i such that -i**5/6 + 3*i**4/2 + i**3/3 - 3*i**2 - i/6 + 3/2 = 0.
-1, 1, 9
Suppose 3*x**4 + 99*x**3 + 789*x**2 + 693*x = 0. What is x?
-21, -11, -1, 0
Solve 2*n**5/3 + 2*n**4 - 104*n**3/3 + 320*n**2/3 - 128*n + 160/3 = 0 for n.
-10, 1, 2
Find t such that -2*t**2 + 374*t + 1140 = 0.
-3, 190
Solve -k**2 + 23*k - 90 = 0 for k.
5, 18
Factor -2*n**5/13 + 108*n**4/13 - 1944*n**3/13 + 11664*n**2/13.
-2*n**2*(n - 18)**3/13
Factor 2*x**3/11 - 54*x**2/11 - 56*x/11.
2*x*(x - 28)*(x + 1)/11
Factor -2*w**3/13 + 394*w**2/13 + 1600*w/13 + 1608/13.
-2*(w - 201)*(w + 2)**2/13
Suppose 3*j**3/4 - 51*j**2/8 - 699*j/8 - 42 = 0. What is j?
-7, -1/2, 16
What is y in -2*y**5/7 + 8*y**4/7 + 52*y**3/7 - 64*y**2/7 - 50*y/7 + 8 = 0?
-4, -1, 1, 7
Factor 2*l**3/15 + 40*l**2/3 + 5194*l/15 + 9604/15.
2*(l + 2)*(l + 49)**2/15
Factor -5*s**4 - 90*s**3 - 80*s**2 + 90*s + 85.
-5*(s - 1)*(s + 1)**2*(s + 17)
Factor 2*c**2/23 + 408*c/23 + 808/23.
2*(c + 2)*(c + 202)/23
Let -q**5/3 - 17*q**4/3 - 106*q**3/3 - 290*q**2/3 - 325*q/3 - 125/3 = 0. Calculate q.
-5, -1
Factor -2*q**2/9 - 328*q/9 - 326/9.
-2*(q + 1)*(q + 163)/9
Factor 12*a**5 - 184*a**4 + 60*a**3.
4*a**3*(a - 15)*(3*a - 1)
Find a such that 4*a**5 - 2088*a**4 + 409760*a**3 - 35963200*a**2 + 1212744000*a - 2284880000 = 0.
2, 130
Factor -2*j**3 - 100*j**2 - 1186*j + 1288.
-2*(j - 1)*(j + 23)*(j + 28)
Find s, given that s**4/2 - 6*s**2 + 8*s = 0.
-4, 0, 2
Let -i**3/6 + 13*i**2/6 - 23*i/6 + 11/6 = 0. Calculate i.
1, 11
Solve -4*m**5 + 84*m**4 - 77*m**3 - 62*m**2 + 39*m + 20 = 0 for m.
-1/2, 1, 20
Suppose -25*m**5/2 - 270*m**4 - 640*m**3 - 425*m**2 + 105*m/2 + 95 = 0. What is m?
-19, -1, 2/5
Factor -6*s**3 + 8*s**2 - 2*s.
-2*s*(s - 1)*(3*s - 1)
Determine a so that -4*a**3 - 4*a**2 + 48*a = 0.
-4, 0, 3
Find g, given that -2*g**2/13 - 998*g/13 - 1988/13 = 0.
-497, -2
Factor -m**5 + 19*m**4 - 17*m**3 - 19*m**2 + 18*m.
-m*(m - 18)*(m - 1)**2*(m + 1)
Suppose 3*h**4/5 - 12*h**3/5 + 3*h**2 - 6*h/5 = 0. Calculate h.
0, 1, 2
Suppose 3*z**3 - 174*z**2 + 1293*z + 1470 = 0. What is z?
-1, 10, 49
Find d, given that -24*d**4/7 - 166*d**3/7 - 274*d**2/7 + 24*d/7 = 0.
-4, -3, 0, 1/12
Let -2*z**4/3 + 8*z**3/3 + 2*z**2/3 - 8*z/3 = 0. Calculate z.
-1, 0, 1, 4
Determine o, given that 3*o**2 - 192*o - 195 = 0.
-1, 65
Find c such that -12*c**2/7 - 520*c/7 - 172/7 = 0.
-43, -1/3
Factor 3048*a**3 + 956*a**2 - 20*a.
4*a*(3*a + 1)*(254*a - 5)
Find a, given that 162*a**5/5 - 118179*a**4/5 + 294813*a**3/5 - 274962*a**2/5 + 113436*a/5 - 17448/5 = 0.
1/2, 2/3, 727
Find k, given that -3*k**5/5 + 3*k**4 - 18*k**3/5 - 12*k**2/5 + 24*k/5 = 0.
-1, 0, 2
What is x in -5*x**3 + 522*x**2 - 13728*x + 5408 = 0?
2/5, 52
Factor -2*d**2/5 + 1022*d/5 - 3048/5.
-2*(d - 508)*(d - 3)/5
Find q such that -2*q**3 - 476*q**2 + 3904*q - 7872 = 0.
-246, 4
Factor p**5 - 3*p**4 + 4*p**2.
p**2*(p - 2)**2*(p + 1)
Solve -40*d**5 - 474*d**4 + 620*d**3 + 264*d**2 - 292*d - 78 = 0.
-13, -3/5, -1/4, 1
Let -i**2/5 - 5376*i/5 - 7225344/5 = 0. Calculate i.
-2688
Factor -2*r**2/5 + 14836*r/5 - 27513362/5.
-2*(r - 3709)**2/5
Let 2*s**2 + 162*s - 860 = 0. What is s?
-86, 5
Find n, given that 3*n**3 - 513*n**2 - 2628*n - 2112 = 0.
-4, -1, 176
Suppose -t**3 + 2751*t**2 - 2522667*t + 771095213 = 0. Calculate t.
917
Suppose 5*j**4 + 1055*j**3 - 4300*j**2 = 0. What is j?
-215, 0, 4
Suppose 5*k**5 + 40*k**4 + 105*k**3 + 110*k**2 + 40*k = 0. Calculate k.
-4, -2, -1, 0
Find c, given that 3*c**3 - 168*c**2 + 2352*c = 0.
0, 28
Solve q**5/4 + q**4/4 - 3*q**3/4 - q**2/4 + q