at -2*p**3 - 74*p**2 - 800*p - 2688 = 0.
-21, -8
Determine r, given that 2*r**5 - 10*r**3 + 8*r = 0.
-2, -1, 0, 1, 2
Find i such that i**4/4 + 29*i**3/2 + 14*i**2 - 29*i/2 - 57/4 = 0.
-57, -1, 1
Factor -j**3 + 25*j**2 - 88*j + 84.
-(j - 21)*(j - 2)**2
Factor n**4/10 - 7*n**2/10 + 3*n/5.
n*(n - 2)*(n - 1)*(n + 3)/10
Factor -4*y**2 + 30216*y - 57062916.
-4*(y - 3777)**2
Solve -14*o**3/5 + 1214*o**2/5 + 316*o + 352/5 = 0.
-1, -2/7, 88
Determine z, given that -z**4/7 - 9*z**3 + 195*z**2/7 - 197*z/7 + 66/7 = 0.
-66, 1
Solve -4*h**5/3 + 2*h**4 + 10*h**3/3 - 10*h**2/3 - 2*h + 4/3 = 0.
-1, 1/2, 1, 2
Let 5*z**2 - 275*z + 3330 = 0. Calculate z.
18, 37
Find i such that i**3/5 + 89*i**2/5 - 974*i/5 + 1584/5 = 0.
-99, 2, 8
Factor -5*m**3 - 225*m**2 + 1230*m - 1000.
-5*(m - 4)*(m - 1)*(m + 50)
Factor -4*s**2 + 696*s - 30276.
-4*(s - 87)**2
What is x in -4*x**5 + 2832*x**4 - 498424*x**3 - 1005360*x**2 - 504100*x = 0?
-1, 0, 355
Determine m, given that -5*m**2 + 3030*m - 459045 = 0.
303
Let 2*j**4/13 + 66*j**3/13 + 60*j**2/13 - 128*j/13 = 0. What is j?
-32, -2, 0, 1
Find g, given that -2*g**5 + 6*g**4 + 26*g**3 - 22*g**2 - 48*g + 40 = 0.
-2, 1, 5
Factor -2*s**4/9 + 26*s**3/9 - 88*s**2/9 + 64*s/9.
-2*s*(s - 8)*(s - 4)*(s - 1)/9
Determine t, given that 6*t**3/11 + 90*t**2/11 - 636*t/11 - 720/11 = 0.
-20, -1, 6
Find f such that -2*f**2 - 8*f + 10 = 0.
-5, 1
Factor b**2/8 + b + 7/8.
(b + 1)*(b + 7)/8
Factor -2*l**5/7 - 54*l**4/7 - 150*l**3/7 - 146*l**2/7 - 48*l/7.
-2*l*(l + 1)**3*(l + 24)/7
Factor -2*d**4/5 - 8*d**3/5 + 46*d**2 - 140*d.
-2*d*(d - 5)**2*(d + 14)/5
Factor -a**2 + 59*a - 760.
-(a - 40)*(a - 19)
Suppose 3*x**3 - 21*x**2 + 42*x - 24 = 0. What is x?
1, 2, 4
Factor 2*c**4 - 44*c**3 + 278*c**2 - 396*c.
2*c*(c - 11)*(c - 9)*(c - 2)
Factor b**2/3 + 257*b/3 + 256/3.
(b + 1)*(b + 256)/3
Factor 5*t**3 - 375*t**2 + 735*t - 365.
5*(t - 73)*(t - 1)**2
Factor 2*v**4/5 + 18*v**3/5 - 2*v**2/5 - 18*v/5.
2*v*(v - 1)*(v + 1)*(v + 9)/5
Factor 3*c**4/2 + 7*c**3/2 + 3*c**2/2 - 3*c/2 - 1.
(c + 1)**3*(3*c - 2)/2
Let -55*c**3 + 3165*c**2 - 4790*c + 1680 = 0. Calculate c.
6/11, 1, 56
Suppose -28*y**4 + 188*y**3 + 76*y**2 - 140*y = 0. Calculate y.
-1, 0, 5/7, 7
What is g in g**5/5 + 41*g**4/5 + 474*g**3/5 + 1042*g**2/5 - 95*g - 1083/5 = 0?
-19, -3, -1, 1
What is h in -h**4/2 + 94*h**3 + 483*h**2 - 94*h - 965/2 = 0?
-5, -1, 1, 193
Suppose 3*j**5/4 - 19*j**4/4 + 13*j**3/4 + 39*j**2/4 - 4*j - 5 = 0. Calculate j.
-1, -2/3, 1, 2, 5
Suppose j**4/7 - 17*j**3/7 + 71*j**2/7 - 55*j/7 = 0. Calculate j.
0, 1, 5, 11
Suppose 20*n**5 - 56*n**4 - 32*n**3 + 56*n**2 + 12*n = 0. Calculate n.
-1, -1/5, 0, 1, 3
Factor 6*m**3/5 - 26*m**2/5 + 4*m/5 + 16/5.
2*(m - 4)*(m - 1)*(3*m + 2)/5
Suppose 86*v**3 - 262*v**2 + 184*v - 8 = 0. Calculate v.
2/43, 1, 2
Factor -3*n**3 + 93*n**2 - 90*n.
-3*n*(n - 30)*(n - 1)
Factor -3*y**3 + 99*y**2 - 186*y.
-3*y*(y - 31)*(y - 2)
Suppose 2*i**3 - 8*i**2 - 14*i + 20 = 0. Calculate i.
-2, 1, 5
Find w such that 2*w**4 + 46*w**3 + 372*w**2 + 1216*w + 1280 = 0.
-8, -5, -2
Factor a**2/4 + 7*a/2 - 735/4.
(a - 21)*(a + 35)/4
Determine j so that -2*j**2/5 + 28*j/5 + 64/5 = 0.
-2, 16
Let -5*y**2 + 1520*y - 115520 = 0. What is y?
152
Factor -3*m**4/5 - 8*m**3/5 - 3*m**2/5 + 2*m/5.
-m*(m + 1)*(m + 2)*(3*m - 1)/5
Let -3*b**2 - 3540*b - 7068 = 0. What is b?
-1178, -2
Suppose -10*d**5/3 + 32*d**4 - 200*d**3/3 + 124*d**2/3 + 6*d - 28/3 = 0. Calculate d.
-2/5, 1, 7
Factor 2*t**2 + 8*t.
2*t*(t + 4)
Factor -9*a**4 + 57*a**3 - 126*a**2 + 108*a - 24.
-3*(a - 2)**3*(3*a - 1)
Factor -4*n**2/7 - 16*n/7 + 128/7.
-4*(n - 4)*(n + 8)/7
Suppose -21*v**4 - v**3 + 23*v**2 + v - 2 = 0. What is v?
-1, -1/3, 2/7, 1
Factor 15*k**4 + 40*k**3 - 15*k**2 - 60*k + 20.
5*(k - 1)*(k + 2)**2*(3*k - 1)
Factor w**5 + 5*w**4 - 22*w**3 + 16*w**2.
w**2*(w - 2)*(w - 1)*(w + 8)
Find v such that v**2 - 7344*v + 13483584 = 0.
3672
Factor 4*p**5 + 84*p**4 + 396*p**3 - 484*p**2.
4*p**2*(p - 1)*(p + 11)**2
Factor 24*z**4/5 + 44*z**3/5 - 12*z**2/5 - 12*z - 28/5.
4*(z + 1)**3*(6*z - 7)/5
Solve -z**4/2 - 25*z**3/2 - 65*z**2/2 + 25*z/2 + 33 = 0 for z.
-22, -3, -1, 1
What is y in -3*y**4/2 - 9*y**3 - 18*y**2 - 12*y = 0?
-2, 0
Solve w**4/4 - w**3/4 - 3*w**2 = 0 for w.
-3, 0, 4
Factor g**3/2 - 9*g**2/2 + 9*g.
g*(g - 6)*(g - 3)/2
Find i, given that -5*i**5 - 225*i**4 - 415*i**3 + 645*i**2 = 0.
-43, -3, 0, 1
Factor 4*a**3 + 260*a**2 - 832*a - 1088.
4*(a - 4)*(a + 1)*(a + 68)
Determine h, given that -h**2 - 1827*h + 3658 = 0.
-1829, 2
Factor -5*p**2 + 2200*p.
-5*p*(p - 440)
What is b in 4*b**2/5 - 1664*b/5 + 332 = 0?
1, 415
Solve 50*k**3/3 - 140*k**2/3 + 88*k/3 - 16/3 = 0 for k.
2/5, 2
Solve -x**3/3 - 8*x**2 + 4*x/3 + 32 = 0 for x.
-24, -2, 2
Suppose 3*t**2 - 591*t - 1800 = 0. What is t?
-3, 200
Factor 5*t**4 - 15*t**3 - 50*t**2 + 120*t.
5*t*(t - 4)*(t - 2)*(t + 3)
Factor -3*s**3 - 177*s**2 - 345*s - 171.
-3*(s + 1)**2*(s + 57)
Let 4*h**5/9 + 10*h**4/9 - 4*h**3/3 - 16*h**2/9 + 8*h/9 + 2/3 = 0. What is h?
-3, -1, -1/2, 1
Factor -y**4 + 8*y**3 - 18*y**2 + 27.
-(y - 3)**3*(y + 1)
Let 5*o**2 + 25*o = 0. Calculate o.
-5, 0
Factor -5*u**5 - 65*u**4.
-5*u**4*(u + 13)
Factor -2*q**2 + 22*q.
-2*q*(q - 11)
Let 5*m**3 + 25*m**2 - 5*m - 25 = 0. What is m?
-5, -1, 1
Factor -5*x**4/4 + 65*x**3 - 375*x**2/2 + 185*x - 245/4.
-5*(x - 49)*(x - 1)**3/4
Let -3*q**5/5 - 8*q**4/5 + q**3 + 6*q**2 + 28*q/5 + 8/5 = 0. Calculate q.
-2, -1, -2/3, 2
Find k such that -3*k**4 - 30*k**3 - 24*k**2 + 30*k + 27 = 0.
-9, -1, 1
What is g in 5*g**2 + 390*g + 7605 = 0?
-39
Factor -h**5 - 25*h**4 - 226*h**3 - 952*h**2 - 1888*h - 1408.
-(h + 2)*(h + 4)**3*(h + 11)
Factor -12*o**3 - 404*o**2/3 - 736*o/3 - 48.
-4*(o + 2)*(o + 9)*(9*o + 2)/3
Suppose -48*f**3 - 103752*f**2 - 51867*f - 6483 = 0. What is f?
-2161, -1/4
Suppose 182*d**3/5 - d**2/5 = 0. Calculate d.
0, 1/182
What is n in 4*n**4 + 20*n**3 + 36*n**2 + 28*n + 8 = 0?
-2, -1
Factor -5*y**2/3 + 800*y/3 + 8500/3.
-5*(y - 170)*(y + 10)/3
Suppose 2*z**3 + 1112*z**2 + 8800*z + 17536 = 0. What is z?
-548, -4
Factor -5*r**2 + 10*r - 5.
-5*(r - 1)**2
What is s in 2*s**2/11 - 156*s/11 + 14 = 0?
1, 77
Determine s so that -6*s**4/13 + 856*s**3/13 - 31648*s**2/13 + 79520*s/13 - 39200/13 = 0.
2/3, 2, 70
Factor -2*o**2 - 86*o + 88.
-2*(o - 1)*(o + 44)
Determine q, given that -8*q**5/7 - 20*q**4/7 + 204*q**3/7 + 128*q**2/7 - 496*q/7 + 192/7 = 0.
-6, -2, 1/2, 1, 4
Factor -63*h**4/2 - 66*h**3 - 75*h**2/2 - 3*h.
-3*h*(h + 1)**2*(21*h + 2)/2
Let -295*c**2/3 + 592*c/3 - 4/3 = 0. Calculate c.
2/295, 2
Factor -48*h**3 + 25416*h**2 - 12699*h + 1587.
-3*(h - 529)*(4*h - 1)**2
Factor -q**3/6 - 374*q**2/3 + 1499*q/6 - 125.
-(q - 1)**2*(q + 750)/6
Factor 3*t**2/4 + 4281*t/2 - 8565/4.
3*(t - 1)*(t + 2855)/4
Find h, given that -3*h**2 - 474*h - 7191 = 0.
-141, -17
Factor -2*m**3/7 + 282*m**2/7 + 578*m/7 - 858/7.
-2*(m - 143)*(m - 1)*(m + 3)/7
Factor -5*s**4 + 30*s**3 - 55*s**2 + 30*s.
-5*s*(s - 3)*(s - 2)*(s - 1)
Determine y so that 2*y**4 + 30*y**3 + 144*y**2 + 216*y = 0.
-6, -3, 0
Factor -3*h**2 + 3264*h - 887808.
-3*(h - 544)**2
Find n, given that 392*n**5 + 434*n**4 - 1356*n**3 - 1960*n**2 - 400*n = 0.
-10/7, -1/4, 0, 2
Solve r**2 + 53*r + 322 = 0.
-46, -7
Let -48*f**2 + 724*f + 504 = 0. Calculate f.
-2/3, 63/4
Solve -28*g**3 + 60*g**2 + 132*g/7 - 484/7 = 0 for g.
-1, 11/7
Determine x, given that 5*x**3 + 90*x**2 = 0.
-18, 0
Factor 2*k**4 - 182*k**3 + 4936*k**2 - 33280*k - 38400.
2*(k - 40)**2*(k - 12)*(k + 1)
Factor -4*i**2/3 + 28*i - 80/3.
-4*(i - 20)*(i - 1)/3
Factor 2*t**2/19 + 14*t/19 - 240/19.
2*(t - 8)*(t + 15)/19
Suppose 5*u**5 + 15*u**4 + 10*u**3 - 10*u**2 - 15*u - 5 = 0. What is u?
-1, 1
Suppose 2*y**4/13 - 16*y**3/13 - 2*y**2/13 + 16*y/13 = 0. What is y?
-1, 0, 1, 8
Find h such that -6*h**2 - 26*h/5 + 4/5 = 0.
-1, 2/15
Factor -2*s**4/17 - 4*s**3 - 506*s**2/17 + 72*s - 648/17.
-2*(s - 1)**2*(s + 18)**2/17
Find o such that 2*o**2 - 56*o + 104 = 0.
2, 26
Solve -3*l**2 + 153*l + 4818 = 0.
-22, 73
Factor -5*n**3 + 2*n**2 + 20*n - 8.
-(n - 2)*(n + 2)*(5*n - 2)
Factor -2*p**3/11 + 12*p**2/11 - 10*p/11.
-2*p*(p - 5)*(p - 1)/11
Find v, given that -2*v**4 + 40*v**3 + 46*v**2 - 84*v = 0.
-2, 0, 1, 21
Factor -u**2/3 - 73*u/3 - 24.
-(u + 1)*(u + 72)/3
Solve -5*w**4 + 100*w**3 - 85*w**2 - 190*w = 0 for w.
-1, 0, 2, 19
Factor 4*d**3/3 + 51