4*p**4 + 88*p**3 - 672*p**2 + 1960*p - 1372 = 0.
1, 7
Suppose -5*l**4 + 140*l**3 - 235*l**2 - 680*l + 780 = 0. What is l?
-2, 1, 3, 26
Factor 2*v**4 + 2*v**3 - 930*v**2 + 1846*v - 920.
2*(v - 20)*(v - 1)**2*(v + 23)
Determine x, given that -4*x**2 - 340*x - 984 = 0.
-82, -3
Factor -4*j**3/7 + 12*j**2 - 20*j - 228/7.
-4*(j - 19)*(j - 3)*(j + 1)/7
Suppose u**4/4 - 13*u**3/4 - 35*u**2/4 + 249*u/4 + 315/2 = 0. What is u?
-3, 5, 14
Determine d, given that -9*d**4 + 57*d**3 - 120*d**2 + 84*d = 0.
0, 2, 7/3
Suppose 4*m**4 + 116*m**3 - 12*m**2 - 340*m + 232 = 0. What is m?
-29, -2, 1
Factor -3*j**3 + 132*j**2 - 1152*j - 6912.
-3*(j - 24)**2*(j + 4)
Let 3*r**2 + 129*r - 1980 = 0. Calculate r.
-55, 12
Suppose -5*w**3 + 280*w**2 + 1180*w + 1200 = 0. What is w?
-2, 60
Let 2*t**4 + 35*t**3 + 129*t**2 + 160*t + 52 = 0. Calculate t.
-13, -2, -1/2
Determine n so that -4*n**2 - 56*n - 52 = 0.
-13, -1
Factor 5476*o**3 + 218448*o**2 - 23664*o + 640.
4*(o + 40)*(37*o - 2)**2
Let -3*d**2 + 231*d + 474 = 0. Calculate d.
-2, 79
Solve 3*a**4 + 12*a**3 - 6*a**2 - 36*a + 27 = 0 for a.
-3, 1
Factor j**2 + 22*j + 57.
(j + 3)*(j + 19)
Find x, given that -x**5/6 - 5*x**4/6 + 13*x**3/6 + 125*x**2/6 + 44*x + 30 = 0.
-3, -2, 5
Find g such that 22*g**2 - 262*g - 24 = 0.
-1/11, 12
Solve k**4/6 + 10*k**3/3 + 26*k**2/3 - 80*k + 96 = 0 for k.
-12, 2
Factor 2*h**3 + 9752*h**2/3 + 1319770*h - 881292.
2*(h + 813)**2*(3*h - 2)/3
Factor 2*u**2/13 - 100*u + 3882/13.
2*(u - 647)*(u - 3)/13
Find r, given that -5*r**3 - 105*r**2 - 195*r - 95 = 0.
-19, -1
Factor -3*d**2 + 81*d - 510.
-3*(d - 17)*(d - 10)
Find o, given that -o**4/2 + 11*o**3/2 - 19*o**2 + 26*o - 12 = 0.
1, 2, 6
Solve z**3/2 - 5459*z**2/2 + 7452899*z/2 - 7447441/2 = 0.
1, 2729
Suppose 2*h**3 + 14*h**2 - 2*h - 14 = 0. Calculate h.
-7, -1, 1
Determine z so that 5*z**5 - 85*z**4 + 325*z**3 - 275*z**2 - 330*z + 360 = 0.
-1, 1, 2, 3, 12
Factor -5*s**4 - 55*s**3 + 70*s**2 + 120*s.
-5*s*(s - 2)*(s + 1)*(s + 12)
Factor -2*o**2/7 + 16*o/7 + 306/7.
-2*(o - 17)*(o + 9)/7
Find j, given that -5*j**3 + 275*j**2 - 1040*j + 1020 = 0.
2, 51
Factor -2*v**3/21 + 376*v**2/21 - 6014*v/7 + 11532/7.
-2*(v - 93)**2*(v - 2)/21
Factor -c**2/11 - 14*c/11 - 48/11.
-(c + 6)*(c + 8)/11
Solve 2*g**3/7 + 460*g**2 + 1292824*g/7 - 2598544/7 = 0.
-806, 2
Factor -4*j**4/7 - 12*j**3/7 + 28*j**2 - 180*j/7.
-4*j*(j - 5)*(j - 1)*(j + 9)/7
Factor 2*q**2 + 80*q - 168.
2*(q - 2)*(q + 42)
Factor -2*n**2/5 - 44*n/5 + 46/5.
-2*(n - 1)*(n + 23)/5
Suppose 3*h**3 - 12*h**2 + 9*h = 0. Calculate h.
0, 1, 3
Factor -a**2/4 - 19*a/4 - 17/2.
-(a + 2)*(a + 17)/4
Let -3*l**2/5 - 171*l/5 - 486/5 = 0. What is l?
-54, -3
Solve -48*p**3 + 483*p**2 - 798*p + 48 = 0.
1/16, 2, 8
Determine h, given that 2*h**5 - 242*h**4 + 238*h**3 + 242*h**2 - 240*h = 0.
-1, 0, 1, 120
Determine o, given that -5*o**5 - 45*o**4 - 100*o**3 - 60*o**2 = 0.
-6, -2, -1, 0
Let -14*l**5 + 1068*l**4 - 20464*l**3 + 1504*l**2 + 82080*l - 23104 = 0. What is l?
-2, 2/7, 2, 38
Factor -2*w**3/13 - 216*w**2/13 - 6762*w/13 - 48020/13.
-2*(w + 10)*(w + 49)**2/13
Factor m**5/5 + 9*m**4/5 - 108*m**2/5.
m**2*(m - 3)*(m + 6)**2/5
Let 5*c**4 + 625*c**3 = 0. Calculate c.
-125, 0
Let -3*z**5/7 + 36*z**4/7 - 768*z**2/7 = 0. Calculate z.
-4, 0, 8
Factor 22*r**3 - 64*r**2 - 984*r/11 - 288/11.
2*(r - 4)*(11*r + 6)**2/11
Suppose -q**3/9 + 35*q**2/9 + 592*q/9 - 1316/9 = 0. What is q?
-14, 2, 47
Find b such that 5*b**2 + 25*b - 30 = 0.
-6, 1
Determine i, given that -14*i**4/11 - 284*i**3/11 + 536*i**2/11 + 16*i = 0.
-22, -2/7, 0, 2
Determine p, given that -196*p**5 - 3976*p**4 - 788*p**3 + 6688*p**2 + 816*p - 2880 = 0.
-20, -1, 6/7
Suppose 3*l**2/4 + 6069*l/4 = 0. What is l?
-2023, 0
Factor -4*o**3 - 268*o**2 - 508*o + 780.
-4*(o - 1)*(o + 3)*(o + 65)
Factor -3*d**5/4 - 189*d**4/4 - 3069*d**3/4 - 2883*d**2/4.
-3*d**2*(d + 1)*(d + 31)**2/4
Let -12*x**5 - 200*x**4 + 788*x**3 - 288*x**2 - 944*x + 320 = 0. What is x?
-20, -1, 1/3, 2
Factor -4*t**2 - 1676*t.
-4*t*(t + 419)
What is q in -2*q**2/5 + 48*q/5 - 88/5 = 0?
2, 22
Determine u so that 2*u**5/11 + 50*u**4/11 + 206*u**3/11 - 1690*u**2/11 - 3808*u/11 - 1960/11 = 0.
-14, -1, 5
Factor f**5/3 - 2*f**4 + 4*f**3/3 + 2*f**2 - 5*f/3.
f*(f - 5)*(f - 1)**2*(f + 1)/3
Determine f so that 2*f**2 - 9572*f + 11452898 = 0.
2393
Factor -38*m**2/7 - 688*m/7 - 72/7.
-2*(m + 18)*(19*m + 2)/7
Factor -q**4/8 + 22*q**3 - 3783*q**2/4 - 1958*q - 7921/8.
-(q - 89)**2*(q + 1)**2/8
Find i, given that -5*i**2 - 105*i - 550 = 0.
-11, -10
Factor 4*a**3 - 256*a.
4*a*(a - 8)*(a + 8)
What is n in -5*n**5 - 55*n**4 - 215*n**3 - 365*n**2 - 280*n - 80 = 0?
-4, -1
Determine u, given that -3*u**4 + 24*u**3 + 3*u**2 - 204*u + 252 = 0.
-3, 2, 7
Suppose 2*u**3 - 4*u**2 - 14*u - 8 = 0. What is u?
-1, 4
Factor f**5/5 + f**4/5 - 6*f**3/5.
f**3*(f - 2)*(f + 3)/5
Find k, given that 4*k**4 + 64*k**3 - 4*k**2 - 64*k = 0.
-16, -1, 0, 1
Find r, given that -12*r**5 + 232*r**4/5 + 96*r**3/5 - 248*r**2/5 - 36*r/5 + 16/5 = 0.
-1, -1/3, 1/5, 1, 4
Suppose -22*n**2 + 42*n - 20 = 0. What is n?
10/11, 1
Find d such that -20*d**3 - 6092*d**2 + 2440*d = 0.
-305, 0, 2/5
Find w such that 2*w**2 + 76*w - 78 = 0.
-39, 1
Suppose g**5 + 26*g**4 - 30*g**3 - 80*g**2 + 29*g + 54 = 0. What is g?
-27, -1, 1, 2
Suppose -6*n**5/11 - 68*n**4/11 - 34*n**3/11 + 548*n**2/11 + 904*n/11 + 240/11 = 0. What is n?
-10, -2, -1/3, 3
Factor 6*n**3 - 16*n**2 - 66*n - 20.
2*(n - 5)*(n + 2)*(3*n + 1)
Let -2*b**4/5 - 34*b**3/5 + 114*b**2/5 - 118*b/5 + 8 = 0. Calculate b.
-20, 1
Factor 3*t**3/2 - 85*t**2/2 + 109*t/2 - 27/2.
(t - 27)*(t - 1)*(3*t - 1)/2
What is i in 2*i**3/13 + 12*i**2/13 - 18*i/13 - 28/13 = 0?
-7, -1, 2
Determine h, given that 2*h**3/11 - 40*h**2/11 - 86*h/11 - 4 = 0.
-1, 22
Suppose -2*p**3/9 - 4*p**2 + 2*p/9 + 4 = 0. Calculate p.
-18, -1, 1
Factor -2*i**3 - 83*i**2/3 - 69*i - 130/3.
-(i + 1)*(i + 2)*(6*i + 65)/3
Let -8*r**3/7 + 292*r**2/7 - 144*r/7 = 0. Calculate r.
0, 1/2, 36
Factor q**4/2 - 3439*q**3/2 - 10323*q**2/2 - 10325*q/2 - 1721.
(q - 3442)*(q + 1)**3/2
Suppose 8*j**2/5 + 54*j/5 + 88/5 = 0. What is j?
-4, -11/4
Suppose 3*m**3/7 + 30*m**2/7 - 51*m = 0. What is m?
-17, 0, 7
Factor -5*o**3 - 19709*o**2 - 78824*o/5 - 15764/5.
-(o + 3941)*(5*o + 2)**2/5
Factor 3*z**2 - 3*z - 18.
3*(z - 3)*(z + 2)
Determine n so that -3*n**3/5 - 12*n**2 + 384*n/5 + 9216/5 = 0.
-16, 12
Factor 285*m**3 + 415*m**2 + 90*m - 40.
5*(m + 1)*(3*m + 2)*(19*m - 4)
Let 200*p**4/7 + 40*p**3/7 - 78*p**2/7 - 8*p/7 + 8/7 = 0. What is p?
-1/2, 2/5
Factor -4*h**2 - 92*h + 200.
-4*(h - 2)*(h + 25)
Factor 5*v**3 + 15*v**2 - 20*v - 60.
5*(v - 2)*(v + 2)*(v + 3)
Factor 2*v**5/7 - 4*v**4 - 132*v**3/7 - 208*v**2/7 - 142*v/7 - 36/7.
2*(v - 18)*(v + 1)**4/7
Factor -7*p**5/6 - 2*p**4 - p**3/2 + p**2/3.
-p**2*(p + 1)**2*(7*p - 2)/6
Find y such that y**2 - 53*y - 110 = 0.
-2, 55
Let 2*c**3/19 + 1518*c**2/19 - 2*c/19 - 1518/19 = 0. Calculate c.
-759, -1, 1
Factor -4*i**4 + 428*i**3 - 11224*i**2 - 12528*i + 23328.
-4*(i - 54)**2*(i - 1)*(i + 2)
Solve 3*i**5/2 - 381*i**4/2 + 36851*i**3/6 - 35213*i**2/6 - 2730*i + 2646 = 0 for i.
-2/3, 2/3, 1, 63
Factor h**3/7 - 37*h**2/7 - h/7 + 37/7.
(h - 37)*(h - 1)*(h + 1)/7
Find u such that 2*u**3/7 + 38*u**2/7 - 44*u/7 - 80/7 = 0.
-20, -1, 2
Determine m so that 15*m**4 + 36*m**3 + 27*m**2 + 6*m = 0.
-1, -2/5, 0
Find b, given that -2*b**3 + 159*b**2/2 - 780*b - 200 = 0.
-1/4, 20
Factor -g**3/7 - 5*g**2/7 - 2*g/7 + 8/7.
-(g - 1)*(g + 2)*(g + 4)/7
What is y in y**2 - 24*y - 25 = 0?
-1, 25
What is n in -2500*n**5 - 2900*n**4 + 4584*n**3 + 784*n**2 + 32*n = 0?
-2, -2/25, 0, 1
Solve s**3/2 - 42*s**2 + 1845*s/2 - 1681 = 0.
2, 41
Factor -4*x**3/9 - 40*x**2/9 + 176*x/3 - 96.
-4*(x - 6)*(x - 2)*(x + 18)/9
Let -26*h**2 + 1340*h = 0. What is h?
0, 670/13
Let -3*h**3 - 6*h**2 + 57*h + 60 = 0. What is h?
-5, -1, 4
Factor 3*q**3/2 - 54*q**2 + 909*q/2 + 510.
3*(q - 20)*(q - 17)*(q + 1)/2
Determine c so that 6*c**4/11 + 2*c**3 + 10*c**2/11 - 6*c/11 = 0.
-3, -1, 0, 1/3
Suppose -2*b**4/13 + 30*b**3/13 + 6*b**2/13 - 86*b/13 - 60/13 = 0. Calculate b.
-1, 2, 15
What is m in -2*m**5 + 26*m**4 - 12*m**3 - 704*m**2 + 1280*m = 0?
-5, 0, 2, 8
Factor 3*n**5 + 120*n**4 - 378*n**3 + 384*n**2 - 129*n.
3*n*(n - 1)**3*(n + 43)
Find v such that -v**4 + v**3 + 6*v**2 = 0.
-2, 0, 3
Factor -5*l**3