r 51*i**3 - 101*i**2 + 49*i + 1.
(i - 1)**2*(51*i + 1)
Determine a so that a**3/2 - 75*a**2/2 + 756*a - 1944 = 0.
3, 36
Suppose 10*i**5/7 - 6*i**4/7 - 24*i**3/7 - 8*i**2/7 = 0. Calculate i.
-1, -2/5, 0, 2
Factor -5*c**3/2 - 3*c**2/2 + 5*c/2 + 3/2.
-(c - 1)*(c + 1)*(5*c + 3)/2
Factor -m**5/6 - 5*m**4/2 - 25*m**3/2 - 145*m**2/6 - 20*m - 6.
-(m + 1)**3*(m + 6)**2/6
Factor -a**2 - 136*a - 135.
-(a + 1)*(a + 135)
Factor x**3/7 + 24*x**2/7 + 144*x/7.
x*(x + 12)**2/7
Factor 2*s**5/7 + 202*s**4/7 - 618*s**3/7 + 622*s**2/7 - 208*s/7.
2*s*(s - 1)**3*(s + 104)/7
Let -3*x**2 - 123*x - 342 = 0. What is x?
-38, -3
Factor -h**2/7 + 263*h/7.
-h*(h - 263)/7
Find b such that 3*b**4/7 - 684*b**3/7 - 690*b**2/7 + 684*b/7 + 687/7 = 0.
-1, 1, 229
Let 4*q**2 + 136*q = 0. Calculate q.
-34, 0
Factor -4*a**2 - 132*a + 136.
-4*(a - 1)*(a + 34)
Factor 2*w**3/9 - 404*w**2/3 - 2432*w/9.
2*w*(w - 608)*(w + 2)/9
Find t, given that 3*t**3 + 1029*t**2 + 88749*t + 87723 = 0.
-171, -1
Determine h so that -6*h**5/13 + 88*h**4/13 + 582*h**3/13 + 1120*h**2/13 + 792*h/13 + 160/13 = 0.
-2, -1, -1/3, 20
Suppose -2*t**2/11 - 48*t/11 - 46/11 = 0. Calculate t.
-23, -1
Determine r so that -3*r**5 + 12*r**4 + 24*r**3 - 42*r**2 - 21*r + 30 = 0.
-2, -1, 1, 5
Factor 151959*b**4 + 439449*b**3/2 + 311355*b**2/4 + 84579*b/8 + 3993/8.
3*(b + 1)*(74*b + 11)**3/8
Factor -2*h**4 - 2*h**3 + 46*h**2 - 78*h + 36.
-2*(h - 3)*(h - 1)**2*(h + 6)
Find o, given that 2*o**4/7 + 20*o**3/7 + 74*o**2/7 + 120*o/7 + 72/7 = 0.
-3, -2
Factor d**3/3 + 2*d**2 + 5*d/3.
d*(d + 1)*(d + 5)/3
Factor 5*i**3/4 + 55*i**2/2 + 200*i + 480.
5*(i + 6)*(i + 8)**2/4
Factor -2*o**2 + 36*o - 64.
-2*(o - 16)*(o - 2)
Determine h so that -4*h**4 - 632*h**3 - 22208*h**2 + 226424*h + 248004 = 0.
-83, -1, 9
Find p, given that -p**3/4 - 141*p**2/4 + 612*p - 2512 = 0.
-157, 8
Factor -5*z**3 + 55*z**2 - 195*z + 225.
-5*(z - 5)*(z - 3)**2
Factor 6*t**3 - 27*t**2 + 12*t.
3*t*(t - 4)*(2*t - 1)
Let -12*a**4 + 20*a**3 + 20*a**2 - 20*a - 8 = 0. What is a?
-1, -1/3, 1, 2
Factor 2*m**4/5 - 12*m**2/5 - 16*m/5 - 6/5.
2*(m - 3)*(m + 1)**3/5
What is i in -3*i**4 - 36*i**3 - 33*i**2 = 0?
-11, -1, 0
Factor 5*o**4 - 170*o**3 + 765*o**2 - 1180*o + 580.
5*(o - 29)*(o - 2)**2*(o - 1)
Factor 21*n**3 + 804*n**2 + 7809*n + 2166.
3*(n + 19)**2*(7*n + 2)
Factor -4*t**2 + 376*t + 1164.
-4*(t - 97)*(t + 3)
Factor 4*w**3/5 - 48*w**2/5.
4*w**2*(w - 12)/5
Factor -2*u**2/5 - 1654*u/5 - 1652/5.
-2*(u + 1)*(u + 826)/5
Solve -15*a**5 - 513*a**4 - 4857*a**3 - 7191*a**2 + 10272*a + 2304 = 0 for a.
-16, -3, -1/5, 1
What is h in 25*h**5 + 6020*h**4 + 370729*h**3 + 1001750*h**2 + 624988*h + 113288 = 0?
-119, -2, -2/5
Let 14*b**4/5 - 146*b**3/5 + 242*b**2/5 + 258*b/5 - 144/5 = 0. What is b?
-1, 3/7, 3, 8
Find x such that -2*x**3/3 - 13*x**2/3 - 16*x/3 - 5/3 = 0.
-5, -1, -1/2
Let 2*d**3/5 + 222*d**2/5 - 2*d/5 - 222/5 = 0. Calculate d.
-111, -1, 1
Factor 5*m**3 + 95*m**2 + 275*m - 1815.
5*(m - 3)*(m + 11)**2
Factor -p**4 - 47*p**3 + 98*p**2.
-p**2*(p - 2)*(p + 49)
Factor -2*r**4 - 6*r**3 + 2*r**2 + 6*r.
-2*r*(r - 1)*(r + 1)*(r + 3)
What is i in -3*i**2 - 576*i + 1164 = 0?
-194, 2
Factor -6*i**2/11 - 570*i/11 - 1656/11.
-6*(i + 3)*(i + 92)/11
Factor f**2/5 + 34*f/5.
f*(f + 34)/5
Determine p so that -21*p**4/5 - 14433*p**3/5 - 494946*p**2 + 1779168*p/5 + 710016/5 = 0.
-344, -2/7, 1
Find a such that 3*a**4/7 + 2*a**3 - 13*a**2/7 - 12*a = 0.
-4, -3, 0, 7/3
Suppose 3*i**4/5 + 9*i**3 + 189*i**2/5 + 147*i/5 = 0. Calculate i.
-7, -1, 0
Factor -2*l**2/3 + 44*l/3 - 78.
-2*(l - 13)*(l - 9)/3
Let 3*i**5 - 14*i**4 - 8*i**3 + 14*i**2 + 5*i = 0. Calculate i.
-1, -1/3, 0, 1, 5
Factor m**5/2 - 21*m**4/4 + 79*m**3/4 - 117*m**2/4 + 27*m/4 + 27/2.
(m - 3)**3*(m - 2)*(2*m + 1)/4
Factor g**2/2 - 13*g + 69/2.
(g - 23)*(g - 3)/2
Factor 4*s**3/3 + 28*s**2 - 184*s/3.
4*s*(s - 2)*(s + 23)/3
Suppose 3*a**3/4 - 3*a**2 - 3*a + 12 = 0. What is a?
-2, 2, 4
Find z such that 7*z**4 + 2137*z**3 - 1546*z**2 - 4900*z - 1224 = 0.
-306, -1, -2/7, 2
Factor 45*k**4 - 1065*k**3 + 695*k**2 - 115*k.
5*k*(k - 23)*(3*k - 1)**2
Determine w so that w**4 - 314*w**3 + 25269*w**2 - 97340*w + 96100 = 0.
2, 155
Factor -n**3/5 - 2*n**2/5 + n/5 + 2/5.
-(n - 1)*(n + 1)*(n + 2)/5
Determine z so that 2*z**2/7 + 2146*z/7 + 2144/7 = 0.
-1072, -1
Factor r**4 + 25*r**3 + 114*r**2 - 532*r + 392.
(r - 2)*(r - 1)*(r + 14)**2
Factor -s**3/8 + s**2 - 17*s/8 + 5/4.
-(s - 5)*(s - 2)*(s - 1)/8
Let -w**5/7 - 2*w**4/7 + 36*w**3/7 + 162*w**2/7 + 27*w = 0. Calculate w.
-3, 0, 7
Solve n**5/2 - 11*n**4/2 + 11*n**3 + 30*n**2 - 36*n = 0.
-2, 0, 1, 6
Factor -4*i**2 - 52*i + 192.
-4*(i - 3)*(i + 16)
Suppose 2*i**3/9 - 122*i**2/9 - 250*i/9 - 14 = 0. What is i?
-1, 63
Let 3*m**2 - 48*m - 51 = 0. Calculate m.
-1, 17
Let -c**5/4 + 5*c**4/4 + 7*c**3/4 - 5*c**2/4 - 3*c/2 = 0. What is c?
-1, 0, 1, 6
Factor -g**4 + 2*g**3 + 3*g**2 - 4*g - 4.
-(g - 2)**2*(g + 1)**2
Suppose -3*s**2 + 258*s - 5547 = 0. Calculate s.
43
Solve -2*t**3 - 56*t**2 = 0.
-28, 0
Let 2*u**3/5 - 7*u**2/5 - 4*u/5 = 0. What is u?
-1/2, 0, 4
Factor -n**3/3 + 2*n**2/3 - n/3.
-n*(n - 1)**2/3
Determine g, given that 3*g**5/8 + 9*g**4/8 - 9*g**3/2 - 39*g**2/2 - 18*g = 0.
-3, -2, 0, 4
Factor -y**3/7 + 11*y**2/7 + 25*y/7 + 13/7.
-(y - 13)*(y + 1)**2/7
Determine a so that -a**5/4 - a**4 - a**3/2 + a**2 + 3*a/4 = 0.
-3, -1, 0, 1
Find a, given that 5*a**2 + 1670*a - 1675 = 0.
-335, 1
Factor -5*c**3/4 + 701*c**2/4 - 35*c.
-c*(c - 140)*(5*c - 1)/4
Solve -3*k**4 - 414*k**3 + 417*k**2 = 0 for k.
-139, 0, 1
Factor 2*h**5/9 - 4*h**3 + 18*h.
2*h*(h - 3)**2*(h + 3)**2/9
Find s, given that 3*s**2 + 9*s = 0.
-3, 0
Factor 4*r**2 - 44*r + 120.
4*(r - 6)*(r - 5)
Determine t, given that 2*t**2/9 - 62*t/9 + 116/9 = 0.
2, 29
Determine q, given that -q**4/9 + 7*q**3/9 - 2*q**2 + 20*q/9 - 8/9 = 0.
1, 2
Factor -8*i**5 + 12*i**4 + 15*i**3/2 - 29*i**2/2 - 3*i/2 + 9/2.
-(i - 1)**3*(4*i + 3)**2/2
Suppose -2*f**3/7 - 10*f**2/7 - 12*f/7 = 0. Calculate f.
-3, -2, 0
Factor z**2/5 - 3*z/5 - 4/5.
(z - 4)*(z + 1)/5
Determine j, given that 5*j**2/2 + 49*j + 156 = 0.
-78/5, -4
Find t such that 5*t**3 + 55*t**2 + 175*t + 125 = 0.
-5, -1
Suppose 10*i**4/9 + 46*i**3/9 - 260*i**2/9 + 32*i/3 = 0. What is i?
-8, 0, 2/5, 3
Factor -14*x**3/13 + 4120*x**2/13 - 1176*x/13.
-2*x*(x - 294)*(7*x - 2)/13
What is o in 45*o**5 - 390*o**4 + 455*o**3 + 550*o**2 - 380*o - 280 = 0?
-2/3, 1, 2, 7
Determine c, given that c**4/4 + 5*c**3/2 + 33*c**2/4 + 11*c + 5 = 0.
-5, -2, -1
Factor 2*v**3 - 122*v**2/3 + 544*v/3 - 56.
2*(v - 14)*(v - 6)*(3*v - 1)/3
Factor -5*z**4 + 360*z**3 + 740*z**2.
-5*z**2*(z - 74)*(z + 2)
Suppose -25*v**5/4 - 145*v**4/4 = 0. Calculate v.
-29/5, 0
Suppose 2*l**2/7 + 102*l/7 + 28 = 0. What is l?
-49, -2
Factor 2*v**5 - 340*v**4 + 10620*v**3 - 136080*v**2 + 794610*v - 1758348.
2*(v - 134)*(v - 9)**4
What is i in 3*i**2 - 24*i - 99 = 0?
-3, 11
What is u in -3*u**2 + 3*u + 6 = 0?
-1, 2
Factor 2*p**3/7 - 408*p**2/7 + 58*p.
2*p*(p - 203)*(p - 1)/7
Determine d so that -21*d**5/8 - 321*d**4 - 8271*d**3/8 - 894*d**2 - 357*d/2 = 0.
-119, -2, -1, -2/7, 0
Let 2*x**5/3 - 2*x**4 - 10*x**3/3 + 2*x**2 + 8*x/3 = 0. Calculate x.
-1, 0, 1, 4
Find a, given that -3*a**3 + 276*a**2 - 6615*a + 12150 = 0.
2, 45
Find s such that 2*s**4/17 + 22*s**3/17 + 66*s**2/17 + 18*s/17 - 108/17 = 0.
-6, -3, 1
Factor 2*q**3/9 - 26*q**2/9 + 46*q/9 - 22/9.
2*(q - 11)*(q - 1)**2/9
Factor -2*g**2/13 - 5592*g/13 - 3908808/13.
-2*(g + 1398)**2/13
Factor 5*i**4 + 55*i**3 + 50*i**2.
5*i**2*(i + 1)*(i + 10)
Solve -5*w**4 + 650*w**3 - 22380*w**2 + 81270*w - 59535 = 0.
1, 3, 63
Suppose 22*y**3/9 + 20*y**2/9 - 16*y/3 = 0. Calculate y.
-2, 0, 12/11
Solve -w**2/4 + 53*w/2 - 2809/4 = 0.
53
Factor -2*m**2/7 + 12*m/7 - 18/7.
-2*(m - 3)**2/7
Factor -3*p**2 + 294*p + 4329.
-3*(p - 111)*(p + 13)
Factor 2*a**5/5 + 8*a**4/5 - 2*a**3.
2*a**3*(a - 1)*(a + 5)/5
Factor 5*r**4 + 35*r**3 + 45*r**2 - 135*r - 270.
5*(r - 2)*(r + 3)**3
Find j, given that -50*j**5/13 + 20510*j**4/13 - 2798918*j**3/13 + 126318658*j**2/13 + 102403664*j/13 + 20570824/13 = 0.
-2/5, 137
Determine d so that 3*d**4/2 + 37*d**3/8 - d**2/8 - 8*d - 5/2 = 0.
-2, -1/3, 5/4
Determine o, given that 9*o**4 + 48*o**3 - 113*o**2 - 40*o + 112 = 0.
-7, -1, 4/3
What is t in -t**2 - 685*t + 686 = 0?
-686, 1
Factor -4*p**3 - p**2 + 16*p + 4.
-