 87*n/2 - 25/2.
(n - 50)*(n + 1)**3*(n + 2)/8
Suppose -3*g**4/2 - 1434*g**3 - 344151*g**2 - 678294*g + 2047761/2 = 0. Calculate g.
-477, -3, 1
Factor 4*p**5 - 12*p**4 + 4*p**3 + 12*p**2 - 8*p.
4*p*(p - 2)*(p - 1)**2*(p + 1)
Factor -4*t**2/3 + 1280*t/3 - 848.
-4*(t - 318)*(t - 2)/3
Factor 5*f**2 - 720*f + 25920.
5*(f - 72)**2
Suppose 5*d**5/6 + 25*d**4/2 + 85*d**3/3 - 115*d**2 - 1615*d/6 - 275/2 = 0. What is d?
-11, -5, -1, 3
Factor w**3/5 + 462*w**2/5 - 1393*w/5 + 186.
(w - 2)*(w - 1)*(w + 465)/5
Solve m**4 - 46*m**3 - 47*m**2 = 0.
-1, 0, 47
Solve -2*d**4/15 + 2*d**2/5 + 4*d/15 = 0.
-1, 0, 2
Let -2*h**4 - 84*h**3 - 752*h**2 + 84*h + 754 = 0. Calculate h.
-29, -13, -1, 1
Factor 5*s**3 + 1060*s**2 - 1065*s.
5*s*(s - 1)*(s + 213)
Solve -3993*j**4/4 - 41745*j**3/4 + 11781*j**2/2 - 1083*j + 66 = 0.
-11, 2/11
Factor -p**3/6 + 9*p**2/2 + 15*p.
-p*(p - 30)*(p + 3)/6
Solve -s**2 - 26*s + 360 = 0.
-36, 10
Solve -7*a**3 + 1132*a**2 - 5171*a - 1570 = 0 for a.
-2/7, 5, 157
Determine a, given that a**5 - a**4 - 6*a**3 + 14*a**2 - 11*a + 3 = 0.
-3, 1
Factor -b**2/3 + 4*b/3 - 4/3.
-(b - 2)**2/3
Factor -p**3 - 7*p**2 + 36.
-(p - 2)*(p + 3)*(p + 6)
Factor 4*n**4 - 16*n**2.
4*n**2*(n - 2)*(n + 2)
Determine t, given that -6*t**3/5 - 24*t**2/5 + 24*t/5 + 96/5 = 0.
-4, -2, 2
Find a such that a**3/10 - 113*a**2/10 + 33*a = 0.
0, 3, 110
What is b in -4*b**4 - 60*b**3 - 252*b**2 - 196*b = 0?
-7, -1, 0
Factor 9*w**4/4 + 65*w**3/4 - 31*w**2/4 - 685*w/4 - 75/2.
(w - 3)*(w + 5)**2*(9*w + 2)/4
Factor -3*c**3 + 264*c**2 + 273*c - 534.
-3*(c - 89)*(c - 1)*(c + 2)
Suppose 2*a**4/7 - 24*a**3/7 - 2*a**2/7 + 264*a/7 = 0. Calculate a.
-3, 0, 4, 11
Factor -r**3/7 + 46*r**2.
-r**2*(r - 322)/7
Factor 5*x**5 + 75*x**4 + 135*x**3 + 65*x**2.
5*x**2*(x + 1)**2*(x + 13)
What is r in r**3/2 - 87*r**2/2 + 2523*r/2 - 24389/2 = 0?
29
What is r in 3*r**2 - 216*r + 1005 = 0?
5, 67
Suppose -2*i**3/5 - 64*i**2/5 - 24*i = 0. Calculate i.
-30, -2, 0
Suppose -225*l**5 + 1005*l**4 + 1449*l**3 + 459*l**2 = 0. What is l?
-3/5, 0, 17/3
Determine j so that 3*j**2 + 90*j + 243 = 0.
-27, -3
Factor p**3 + 125*p**2 - 126*p.
p*(p - 1)*(p + 126)
Find y, given that -y**2/2 - 29*y/2 - 99 = 0.
-18, -11
Factor 2*q**2/5 + 1172*q/5.
2*q*(q + 586)/5
Find a such that -20*a**3 + 204*a**2 - 360*a + 64 = 0.
1/5, 2, 8
Solve -2*t**2/11 - 872*t/11 - 95048/11 = 0.
-218
Solve 21*b**2 + 4131*b - 1182 = 0 for b.
-197, 2/7
Factor 4*l**3/7 + 18*l**2/7 + 24*l/7 + 8/7.
2*(l + 2)**2*(2*l + 1)/7
Let -d**5/4 - 3*d**4/4 + 25*d**3/4 + 83*d**2/4 - 6*d - 20 = 0. Calculate d.
-4, -1, 1, 5
Factor 3*g**5 - 3*g**4 - 18*g**3 + 12*g**2 + 24*g.
3*g*(g - 2)**2*(g + 1)*(g + 2)
Factor -3*q**5 - 24*q**4 + 57*q**3 - 30*q**2.
-3*q**2*(q - 1)**2*(q + 10)
Factor 5*a**2/4 - 1957*a/4 - 294.
(a - 392)*(5*a + 3)/4
Suppose -2*l**2 + 28*l + 30 = 0. Calculate l.
-1, 15
Factor 5*f**2 + 160*f + 780.
5*(f + 6)*(f + 26)
Determine l so that 3*l**3 + 9*l**2 - 12*l = 0.
-4, 0, 1
Let 2*d**2/13 + 22*d/13 - 24/13 = 0. Calculate d.
-12, 1
Solve l**5/7 + 59*l**4/7 + 153*l**3 + 567*l**2 - 5292*l = 0 for l.
-21, 0, 4
Factor 5*w**2 + 150*w - 320.
5*(w - 2)*(w + 32)
Determine o, given that -3*o**2 - 93*o - 504 = 0.
-24, -7
Factor -f**3 - 2*f**2 + f + 2.
-(f - 1)*(f + 1)*(f + 2)
Factor b**3 + 6*b**2 - 32.
(b - 2)*(b + 4)**2
Let -2*b**4 - 3676*b**3 - 1689122*b**2 = 0. What is b?
-919, 0
Determine a so that -a**3/3 - 125*a**2/3 - 4592*a/3 - 40768/3 = 0.
-56, -13
Factor -o**2/4 + 33*o/2 - 32.
-(o - 64)*(o - 2)/4
Factor 2*l**2 + 808*l + 3990.
2*(l + 5)*(l + 399)
Factor -v**2/5 - 418*v.
-v*(v + 2090)/5
Find l such that -2*l**3 + 94*l**2 - 712*l + 1064 = 0.
2, 7, 38
Determine x so that -x**4 - 89*x**3/4 - 169*x**2/2 + 329*x/4 + 51/2 = 0.
-17, -6, -1/4, 1
Factor -v**3/2 + 75*v**2/2 - 1875*v/2 + 15625/2.
-(v - 25)**3/2
Solve 3*c**2 + 360*c + 1725 = 0.
-115, -5
Factor -3*t**2/5 - 42*t.
-3*t*(t + 70)/5
Factor -22*m**2 - 730*m - 132.
-2*(m + 33)*(11*m + 2)
Factor -k**3/2 - 182*k**2 - 1085*k/2 - 361.
-(k + 1)*(k + 2)*(k + 361)/2
Factor t**5 + t**4 - 49*t**3 - 49*t**2.
t**2*(t - 7)*(t + 1)*(t + 7)
Factor o**4 - 50*o**3 + 673*o**2 - 1200*o + 576.
(o - 24)**2*(o - 1)**2
Factor d**4/3 - 7*d**3/3 + 16*d**2/3 - 4*d.
d*(d - 3)*(d - 2)**2/3
Factor -5*o**2/3 - 47*o/3.
-o*(5*o + 47)/3
Determine b so that 5*b**2 + 50*b + 45 = 0.
-9, -1
Factor -15*w**4/7 - 122*w**3/7 - 256*w**2/7 - 32*w/7.
-w*(w + 4)**2*(15*w + 2)/7
Factor -i**2 - 13*i - 12.
-(i + 1)*(i + 12)
Let 2104*d**5/9 - 2120*d**4/9 - 12082*d**3/9 + 6404*d**2/9 + 6296*d/3 - 16 = 0. Calculate d.
-3/2, 2/263, 2
Find s such that 2*s**2/9 + 146*s/9 + 140/3 = 0.
-70, -3
Factor -3*u**2 - 15*u + 108.
-3*(u - 4)*(u + 9)
Factor -2*c**3/7 + 2*c**2.
-2*c**2*(c - 7)/7
Factor -3*q**2 - 5646*q - 2656443.
-3*(q + 941)**2
Determine z so that -2*z**4 + 74*z**3 - 498*z**2 + 1006*z - 580 = 0.
1, 2, 5, 29
Solve n**5 + 11*n**4 - 120*n**3 - 756*n**2 + 6048*n - 5184 = 0.
-12, 1, 6
Find g, given that -3*g**3 + 42*g**2 + 3*g - 42 = 0.
-1, 1, 14
Factor h**3/2 + 13*h**2/2 + 6*h.
h*(h + 1)*(h + 12)/2
Factor m**2/9 + 22*m/9 + 32/3.
(m + 6)*(m + 16)/9
Solve 25*f**3 - 2140*f**2 + 45365*f + 18490 = 0 for f.
-2/5, 43
Solve -6*q**5/7 + 32*q**4/7 + 24*q**3/7 - 132*q**2/7 - 178*q/7 - 60/7 = 0.
-1, -2/3, 3, 5
Let 3*d**2 - 285*d - 582 = 0. What is d?
-2, 97
Factor -f**3/3 - 4*f**2/3 - 5*f/3 - 2/3.
-(f + 1)**2*(f + 2)/3
Let 2*u**4 + 56*u**3 + 588*u**2 + 2744*u + 4802 = 0. Calculate u.
-7
Factor 27*x**2/2 - 1617*x/4 - 45/2.
3*(x - 30)*(18*x + 1)/4
Factor 2*t**3/11 + 2646*t**2/11 + 871182*t/11 - 2637414/11.
2*(t - 3)*(t + 663)**2/11
Factor 11*l**3/5 - 41*l**2/5 + 6*l.
l*(l - 1)*(11*l - 30)/5
Find s such that 5*s**4 - 25*s**3 + 30*s**2 + 20*s - 40 = 0.
-1, 2
Find b such that 2*b**3 + 22*b**2 + 52*b + 32 = 0.
-8, -2, -1
Factor -c**5 - 64*c**4 - 1519*c**3 - 15568*c**2 - 52480*c + 69632.
-(c - 1)*(c + 16)**3*(c + 17)
Solve d**2 - 3*d - 4 = 0 for d.
-1, 4
Factor -3*u**3 - 18*u**2 - 24*u.
-3*u*(u + 2)*(u + 4)
Suppose 2*n**2/3 - 36*n - 114 = 0. What is n?
-3, 57
Factor 3*u**5 + 12*u**4 + 9*u**3 - 12*u**2 - 12*u.
3*u*(u - 1)*(u + 1)*(u + 2)**2
Factor -28*h**5/3 - 212*h**4/3 - 112*h**3/3.
-4*h**3*(h + 7)*(7*h + 4)/3
What is q in 3*q**3 + 59*q**2 - 152*q + 44 = 0?
-22, 1/3, 2
Suppose 5*j**3/4 - 140*j**2 = 0. What is j?
0, 112
Factor 3*d**2/4 - 39*d/4 - 51.
3*(d - 17)*(d + 4)/4
Factor 5*p**4 + 95*p**3 + 540*p**2 + 1180*p + 880.
5*(p + 2)**2*(p + 4)*(p + 11)
Let 2*a**5/21 - 548*a**4/21 - 316*a**3/3 - 3328*a**2/21 - 2222*a/21 - 556/21 = 0. What is a?
-1, 278
Let -2*i**2/3 - 120*i - 354 = 0. Calculate i.
-177, -3
Factor w**2 - 470*w + 55225.
(w - 235)**2
Factor -3*g**2/4 - 75*g/4 + 39/2.
-3*(g - 1)*(g + 26)/4
Find l such that -2*l**4/5 - 14*l**3/5 - 16*l**2/5 + 32*l/5 = 0.
-4, 0, 1
Factor m**4 - 6*m**3 + 5*m**2 + 12*m.
m*(m - 4)*(m - 3)*(m + 1)
What is r in 3*r**3 + 45*r**2 - 99*r + 51 = 0?
-17, 1
Suppose -4*y**2 + 24*y + 108 = 0. Calculate y.
-3, 9
Factor 2*n**4 + 606*n**3 + 2996*n**2 + 4776*n + 2384.
2*(n + 1)*(n + 2)**2*(n + 298)
Factor -25*u**2 - 1235*u + 2040.
-5*(u + 51)*(5*u - 8)
Find g, given that g**4/11 + 87*g**3/11 + 335*g**2/11 + 249*g/11 = 0.
-83, -3, -1, 0
Suppose -2*x**4/3 - 46*x**3/3 - 114*x**2 - 270*x = 0. What is x?
-9, -5, 0
Suppose -5*y**2/4 + 675*y/4 + 5215/2 = 0. Calculate y.
-14, 149
Find g such that 15*g**5 - 126*g**4 + 123*g**3 + 180*g**2 - 84*g = 0.
-1, 0, 2/5, 2, 7
Factor -2*k**2/5 + 3828*k/5 - 1831698/5.
-2*(k - 957)**2/5
Factor -5*n**2 + 4850*n + 19480.
-5*(n - 974)*(n + 4)
What is l in 49*l**5/4 + 21*l**4/4 - 73*l**3/4 - 17*l**2/4 + 6*l - 1 = 0?
-1, 2/7, 1
Factor 4*p**3 - 160*p**2 + 452*p - 296.
4*(p - 37)*(p - 2)*(p - 1)
Factor -484*f**3 + 4268*f**2 + 788*f + 36.
-4*(f - 9)*(11*f + 1)**2
Let 2*x**2/3 - 44*x - 134/3 = 0. What is x?
-1, 67
Determine z, given that 2*z**5 - 18*z**4 - 70*z**3 - 30*z**2 + 68*z + 48 = 0.
-2, -1, 1, 12
Suppose 4*c**2/3 + 3164*c/3 + 3160/3 = 0. What is c?
-790, -1
Factor 4*l**3 - 64*l**2 + 256*l.
4*l*(l - 8)**2
Suppose 5*a**3 - 120*a**2 + 205*a + 330 = 0. Calculate a.
-1, 3, 22
Find c, given that 5*c**3 - 1250*c**2 + 78125*c = 0.
0, 125
Suppose -16*u**5 + 196*u**4 + 1536*u**3 + 2132*u**2 + 520*u - 288 = 0. What is u?
-4, -1, 1/4, 18
Factor 4*n**5 + 8*n**4 - 44*n**3 - 48*n**2.
4*n**2*(n - 3)*(n + 1)*(n + 4)
Factor 4*z**2/5 - 4/5.
4*(z - 1