+ 1)*(j + 3)
Suppose 2*j**5/5 - 1654*j**4/15 + 2164*j**3 - 71988*j**2/5 + 449134*j/15 + 11662 = 0. Calculate j.
-1/3, 7, 255
Let -4*m**2 - 492*m + 2560 = 0. What is m?
-128, 5
Suppose q**3/2 - 33*q**2/2 - 837*q/2 + 27869/2 = 0. What is q?
-29, 31
Factor 52*s**2 + 1410*s + 162.
2*(s + 27)*(26*s + 3)
Determine u, given that -u**2/10 - 162*u/5 - 13122/5 = 0.
-162
Let -2*y**2 - 44*y - 242 = 0. What is y?
-11
Suppose -5*v**4 + 40*v**3 - 90*v**2 + 80*v - 25 = 0. What is v?
1, 5
Solve -2*k**5/5 + 2*k**4 + 202*k**3/5 - 866*k**2/5 + 1096*k/5 - 88 = 0.
-10, 1, 2, 11
Suppose 27*r**4/8 + 15*r**3/2 - 12*r**2 - 30*r - 6 = 0. What is r?
-2, -2/9, 2
Find z, given that -20*z**5 - 165*z**4 - 280*z**3 - 60*z**2 = 0.
-6, -2, -1/4, 0
Factor -2*w**2 - 292*w - 290.
-2*(w + 1)*(w + 145)
Solve 64*k**5 - 160*k**4 + 4*k**3 + 156*k**2 - 72*k = 0.
-1, 0, 3/4, 2
Factor -60*z**2/11 + 62*z/11 - 2/11.
-2*(z - 1)*(30*z - 1)/11
Factor d**5/2 - 595*d**4/2 - 1195*d**3 - 1795*d**2 - 2395*d/2 - 599/2.
(d - 599)*(d + 1)**4/2
Factor -2*h**3 - 102*h**2 + 1052*h - 1680.
-2*(h - 7)*(h - 2)*(h + 60)
Let -3*q**5 + 261*q**4 + 534*q**3 + 6*q**2 - 531*q - 267 = 0. What is q?
-1, 1, 89
Factor z**5 + 3*z**4 - 10*z**3 + 2*z**2 + 9*z - 5.
(z - 1)**3*(z + 1)*(z + 5)
Factor 7*l**4/6 - 901*l**3/6 + 12857*l**2/2 - 545455*l/6 - 79507/3.
(l - 43)**3*(7*l + 2)/6
Solve 4*q**4 - 64*q**3/5 + 68*q**2/5 - 24*q/5 = 0 for q.
0, 1, 6/5
Let 2*m**5/7 - 134*m**4/7 - 4*m**3/7 + 268*m**2/7 + 2*m/7 - 134/7 = 0. Calculate m.
-1, 1, 67
Factor -m**2/3 + 4*m/3 - 4/3.
-(m - 2)**2/3
Determine i, given that -4*i**4 - 64*i**3 - 236*i**2 + 64*i + 240 = 0.
-10, -6, -1, 1
Determine l, given that 4*l**4 + 437*l**3 + 105*l**2 - 437*l - 109 = 0.
-109, -1, -1/4, 1
What is f in 2*f**5/9 - 4*f**4/9 + 4*f**2/9 - 2*f/9 = 0?
-1, 0, 1
Factor 2*j**3/7 + 200*j**2/7 + 4794*j/7 - 10404/7.
2*(j - 2)*(j + 51)**2/7
Find k, given that k**4 + 5*k**3 - 42*k**2 - 144*k = 0.
-8, -3, 0, 6
Suppose 2*c**5/7 + 74*c**4/7 + 564*c**3/7 - 320*c**2 + 1600*c/7 = 0. What is c?
-20, 0, 1, 2
Find v, given that -220*v**5 - 92*v**4 + 3632*v**3 - 6464*v**2 + 2816*v - 320 = 0.
-5, 2/11, 2/5, 2
Factor 4*x**5/9 - 100*x**4/9 + 457*x**3/9 + 700*x**2/3 + 196*x.
x*(x - 14)**2*(2*x + 3)**2/9
Find k, given that 4*k**3 - 156*k - 280 = 0.
-5, -2, 7
Solve 5*b**2 + 3651*b + 730 = 0 for b.
-730, -1/5
What is g in 2*g**2/7 + 902*g/7 = 0?
-451, 0
Factor u**4/4 + 527*u**3/4 - 4797*u**2/4 + 14445*u/4 - 3618.
(u - 3)**3*(u + 536)/4
Find b such that -57*b**4 - 777*b**3 - 2499*b**2 + 1029*b = 0.
-7, 0, 7/19
Solve -4*o**2/7 + 100/7 = 0.
-5, 5
Factor 5*m**3 + 20*m**2 - 55*m + 30.
5*(m - 1)**2*(m + 6)
Solve -2*c**3/7 + 1108*c**2/7 - 22080*c + 304704/7 = 0 for c.
2, 276
Factor 5*r**3/4 + 185*r**2/4 - 95*r/2.
5*r*(r - 1)*(r + 38)/4
Solve -3*n**2 + 333*n - 1284 = 0 for n.
4, 107
Factor -3*b**5/7 + 39*b**4/7 - 57*b**3/7 - 435*b**2/7 - 528*b/7 - 192/7.
-3*(b - 8)**2*(b + 1)**3/7
Find o, given that -605*o**4 + 4675*o**3 - 6240*o**2 - 11520*o = 0.
-1, 0, 48/11
Determine q so that 9*q**5/4 - 39*q**4/2 + 183*q**3/4 - 27*q**2/2 - 51*q + 30 = 0.
-1, 2/3, 2, 5
Suppose -5*g**3 - 75*g**2 - 130*g = 0. Calculate g.
-13, -2, 0
Let 3*z**5/5 - 12*z**4/5 + 9*z**3/5 + 12*z**2/5 - 12*z/5 = 0. What is z?
-1, 0, 1, 2
Suppose 6*z**3/7 + 1104*z**2/7 - 318*z + 1116/7 = 0. Calculate z.
-186, 1
What is a in -2*a**2 - 456*a - 25992 = 0?
-114
Factor -c**2 + 19*c.
-c*(c - 19)
Factor -z**4/5 - 278*z**3/5 - 5076*z**2 - 724552*z/5 + 3322336/5.
-(z - 4)*(z + 94)**3/5
Factor -162*n**4/13 - 18*n**3/13 + 1120*n**2/13 + 1176*n/13.
-2*n*(n - 3)*(9*n + 14)**2/13
Solve -4*n**4/7 - 56*n**3 + 4*n**2/7 + 56*n = 0 for n.
-98, -1, 0, 1
Let -3*h**3 + 45*h**2 - 189*h + 147 = 0. What is h?
1, 7
Determine q so that -2*q**3/17 - 104*q**2/17 - 1112*q/17 - 1824/17 = 0.
-38, -12, -2
Factor -2*z**2 - 26*z.
-2*z*(z + 13)
Factor b**5/3 + 13*b**4 + 106*b**3 - 1198*b**2/3 + 427*b - 147.
(b - 1)**3*(b + 21)**2/3
Let 3*w**3 - 138*w**2 + 516*w - 504 = 0. What is w?
2, 42
Factor p**3 - 267*p**2 + 3096*p - 9180.
(p - 255)*(p - 6)**2
Factor 2*n**4/5 - 2*n**3/5.
2*n**3*(n - 1)/5
Find j such that -3*j**2 + 72*j + 75 = 0.
-1, 25
Factor v**2/4 + 2*v - 9/4.
(v - 1)*(v + 9)/4
Factor -r**4/2 + 3*r**2/2 + r.
-r*(r - 2)*(r + 1)**2/2
Factor l**2/3 + 9638*l/3 + 23222761/3.
(l + 4819)**2/3
Factor -l**5/2 + l**4 + 3*l**3 - 10*l**2 + 19*l/2 - 3.
-(l - 2)*(l - 1)**3*(l + 3)/2
What is k in 3*k**2/4 - 57*k/2 + 1083/4 = 0?
19
Factor -3*a**2/7 + 8352*a/7 - 5812992/7.
-3*(a - 1392)**2/7
Solve -2*t**4 + 96*t**3 - 1052*t**2 - 2400*t - 1250 = 0 for t.
-1, 25
Factor 9*v**3/4 - 47*v**2/2 + 121*v/4 - 9.
(v - 9)*(v - 1)*(9*v - 4)/4
Determine s, given that 4*s**3/3 + 16*s**2 - 36*s - 648 = 0.
-9, 6
Factor 4*q**2 + 8*q - 12.
4*(q - 1)*(q + 3)
Factor -2*u**3/5 + 174*u**2/5 - 5046*u/5 + 48778/5.
-2*(u - 29)**3/5
What is r in 4*r**5 + 20*r**4 - 40*r**3 - 80*r**2 + 96*r = 0?
-6, -2, 0, 1, 2
Solve -y**2 - 32*y + 68 = 0 for y.
-34, 2
Suppose -a**3 + 2*a**2 + a - 2 = 0. What is a?
-1, 1, 2
Suppose k**2 + 11*k - 102 = 0. Calculate k.
-17, 6
Find q such that 18*q**2/7 - 123*q/7 + 39/7 = 0.
1/3, 13/2
Factor a**2/4 + 101*a/8 - 51/8.
(a + 51)*(2*a - 1)/8
Factor 2*q**3/9 - 4*q**2/3 - 376*q/3 + 2288/9.
2*(q - 26)*(q - 2)*(q + 22)/9
Solve -3*c**4 - 237*c**3 + 489*c**2 + 237*c - 486 = 0.
-81, -1, 1, 2
Let -5*r**3/4 - 795*r**2 - 168540*r - 11910160 = 0. Calculate r.
-212
Factor 2*l**3 - 26*l**2.
2*l**2*(l - 13)
Solve 2*b**3/5 - 1464*b**2/5 + 584*b = 0.
0, 2, 730
Solve 80*q**4 - 19080*q**3 + 1142405*q**2 - 567630*q + 70805 = 0.
1/4, 119
Factor -g**4 + 4*g**3 - 2*g**2 - 4*g + 3.
-(g - 3)*(g - 1)**2*(g + 1)
Factor -4*o**2 + 20*o - 16.
-4*(o - 4)*(o - 1)
Suppose 5*u**5 - 100*u**4 - 340*u**3 - 130*u**2 + 335*u + 230 = 0. What is u?
-2, -1, 1, 23
Let 4*w**3/7 + 48*w**2/7 - 4*w/7 - 48/7 = 0. What is w?
-12, -1, 1
Factor -5*f**4 + 45*f**2.
-5*f**2*(f - 3)*(f + 3)
Factor -7*v**3/3 + 439*v**2/3 - 6524*v/3 - 1900/3.
-(v - 38)*(v - 25)*(7*v + 2)/3
Factor c**4/5 - 138*c**3/5 + 804*c**2/5 - 1592*c/5 + 1056/5.
(c - 132)*(c - 2)**3/5
Find h such that -h**4/3 + 7*h**3/3 - 3*h**2 - 7*h/3 + 10/3 = 0.
-1, 1, 2, 5
Let -3*c**3 + 117*c**2 - 429*c + 315 = 0. Calculate c.
1, 3, 35
Factor d**2/4 - 59*d - 237/4.
(d - 237)*(d + 1)/4
Solve r**3/7 - 6*r**2/7 + 11*r/7 - 6/7 = 0 for r.
1, 2, 3
Solve -4*t**3 - 16*t**2 + 4*t + 16 = 0.
-4, -1, 1
Factor p**3 + 143*p**2.
p**2*(p + 143)
Factor 9*t**3/4 - 25*t**2/4 - 43*t/2.
t*(t + 2)*(9*t - 43)/4
Factor -2*j**2/7 + 52*j/7 - 50/7.
-2*(j - 25)*(j - 1)/7
Solve -27*s**5 - 84*s**4 - 90*s**3 - 36*s**2 - 3*s = 0 for s.
-1, -1/9, 0
Determine m, given that 2*m**5 - 18*m**4 + 6*m**3 + 146*m**2 + 192*m + 72 = 0.
-1, 6
Factor s**2/3 + 19*s/3 + 6.
(s + 1)*(s + 18)/3
Factor 2*z**3 + 24*z**2 - 54*z + 28.
2*(z - 1)**2*(z + 14)
Factor -3*t**4 - 24*t**3 + 30*t**2 + 24*t - 27.
-3*(t - 1)**2*(t + 1)*(t + 9)
Factor -h**2/4 - 11*h/4 - 6.
-(h + 3)*(h + 8)/4
Factor 28*c**3 + 328*c**2 - 460*c + 104.
4*(c - 1)*(c + 13)*(7*c - 2)
Solve 3*m**3 + 1674*m**2 + 311364*m + 19304568 = 0.
-186
Let -b**3/2 + 357*b**2/2 - 42483*b/2 + 1685159/2 = 0. Calculate b.
119
Let -16*x**5 - 24*x**4 + 23*x**3 + 15*x**2 + 2*x = 0. What is x?
-2, -1/4, 0, 1
Find q, given that -q**3/3 + 35*q**2/3 + 12*q = 0.
-1, 0, 36
Factor a**3/4 - a**2/2 - 55*a/4 + 50.
(a - 5)**2*(a + 8)/4
Factor -d**2/6 + 7*d/3 + 16/3.
-(d - 16)*(d + 2)/6
Factor 2*q**3/3 + 16*q**2 + 110*q + 484/3.
2*(q + 2)*(q + 11)**2/3
Determine f so that -f**5/10 + 3*f**4/2 + 91*f**3/10 + 173*f**2/10 + 69*f/5 + 4 = 0.
-2, -1, 20
Solve 3*o**2 + 1635*o + 3258 = 0 for o.
-543, -2
Factor -6400*r**4 + 7360*r**3 - 3076*r**2 + 552*r - 36.
-4*(5*r - 1)**2*(8*r - 3)**2
Find z such that 2*z**3 - 14*z**2 - 82*z - 66 = 0.
-3, -1, 11
Determine r so that 2*r**4 - 220*r**3 + 642*r**2 + 8*r - 856 = 0.
-1, 2, 107
Factor -11*o**4/4 + 21*o**3/4 + o**2/2.
-o**2*(o - 2)*(11*o + 1)/4
Factor 40*s**4/3 + 116*s**3 - 36*s**2.
4*s**2*(s + 9)*(10*s - 3)/3
Suppose 4*k**4 + 8*k**3 - 12*k**2 - 32*k - 16 = 0. What is k?
-2, -1, 2
Solve 3*z**3 + 78*z**2 + 576*z + 864 = 0 for z.
-12, -2
Factor 5*h**3 - 870*h**2.
5*h**2*(h - 174)
Determine q, given that -q**2/4 - 505*q/2 + 1011/4 = 0.
-1011, 1
Factor -m**3/2 + 110*m**2 - 13125*m/2 + 55125.
-(m - 105)**2*(m - 10)/2
Factor -2*s**3/7 + 22*s**2/7 - 36*s/7.
-2*s*(