5 - 108*o**3/5 - 22*o**2 = 0.
-1, 0, 55
Let 7*k**5/4 - 29*k**4 + 291*k**3/2 - 172*k**2 - 805*k/4 + 147 = 0. Calculate k.
-1, 4/7, 3, 7
Solve -2*v**5/3 + 140*v**4/3 - 2576*v**3/3 + 4064*v**2/3 + 10336*v/3 - 18496/3 = 0.
-2, 2, 34
Factor c**2 - 86*c + 85.
(c - 85)*(c - 1)
Factor 2*i**2 - 24*i + 40.
2*(i - 10)*(i - 2)
Find q such that -2*q**2/3 - 262*q/3 - 260/3 = 0.
-130, -1
Suppose -d**3/7 + 4*d**2/7 + 44*d/7 - 96/7 = 0. Calculate d.
-6, 2, 8
Solve q**5/4 - q**4/4 - 21*q**3/4 + 41*q**2/4 - 5*q = 0.
-5, 0, 1, 4
Factor 2*l**2 - 62*l + 468.
2*(l - 18)*(l - 13)
Let -324723*h**2/2 + 1974*h - 6 = 0. Calculate h.
2/329
Suppose -18*o**2 - 392*o = 0. What is o?
-196/9, 0
Factor -3*q**3/7 - 3*q**2.
-3*q**2*(q + 7)/7
Factor 3*z**3/2 + 39*z**2/4 + 33*z/4.
3*z*(z + 1)*(2*z + 11)/4
Factor c**5/2 - 7*c**4/2 + 5*c**3 + 9*c**2 - 27*c/2 - 27/2.
(c - 3)**3*(c + 1)**2/2
Factor 2*f**4/15 + 284*f**3/5.
2*f**3*(f + 426)/15
Let -4*z**4/3 + 4*z**3 + 48*z**2 + 128*z/3 = 0. Calculate z.
-4, -1, 0, 8
Factor 27*k**3/5 + 2583*k**2/5 + 1713*k/5 + 57.
3*(k + 95)*(3*k + 1)**2/5
Determine m so that 2*m**4/3 + 10*m**3 + 46*m**2 + 130*m/3 - 100 = 0.
-6, -5, 1
Factor 3*j**4 - 42*j**3 + 147*j**2.
3*j**2*(j - 7)**2
Let -135*l**2 - 408*l - 9 = 0. What is l?
-3, -1/45
Suppose -30*l**2 - 965*l - 160 = 0. What is l?
-32, -1/6
Factor 4*o**2/9 + 856*o/3 + 45796.
4*(o + 321)**2/9
Suppose 2*q**2/19 + 124*q/19 + 240/19 = 0. Calculate q.
-60, -2
Find x, given that x**4/3 + 19*x**3 + 109*x**2/3 - 19*x - 110/3 = 0.
-55, -2, -1, 1
Find w, given that 40*w**4/13 - 34*w**3/13 - 40*w**2/13 + 22*w/13 + 12/13 = 0.
-3/4, -2/5, 1
What is z in z**3/3 - 48*z**2 + 143*z/3 = 0?
0, 1, 143
Solve -8*j**2 - 895*j/7 + 16/7 = 0 for j.
-16, 1/56
Suppose -n**4/5 - 32*n**3/5 - 269*n**2/5 - 178*n/5 + 96 = 0. Calculate n.
-16, -15, -2, 1
Factor 4*m**4/5 + 92*m**3/5 + 252*m**2/5 + 244*m/5 + 16.
4*(m + 1)**3*(m + 20)/5
Let 3*l**5 - 27*l**4 + 33*l**3 + 63*l**2 = 0. What is l?
-1, 0, 3, 7
Solve -2*w**2 - 1424*w - 253472 = 0 for w.
-356
Factor x**2/3 + 899*x/3 + 898/3.
(x + 1)*(x + 898)/3
Find w, given that -35*w**2 + 320*w + 300 = 0.
-6/7, 10
Determine w so that 489*w**4 + 1950*w**3 - 5403*w**2 + 3000*w - 36 = 0.
-6, 2/163, 1
Factor -f**2 - 932*f - 217156.
-(f + 466)**2
Solve 4*v**2 - 252*v + 720 = 0.
3, 60
Factor 5*n**2/4 + 19*n/8 - 39/4.
(n - 2)*(10*n + 39)/8
Let -3*w**2 + 567*w + 570 = 0. What is w?
-1, 190
Suppose -39*s**2 + 660*s = 0. What is s?
0, 220/13
Factor 5*p**5 - 55*p**4 + 140*p**3.
5*p**3*(p - 7)*(p - 4)
Determine n, given that 2*n**3/11 + 4*n**2/11 - 26*n/11 + 20/11 = 0.
-5, 1, 2
Factor -2*n**5/17 + 4*n**4/17 + 16*n**3/17.
-2*n**3*(n - 4)*(n + 2)/17
Factor -3*n**2/5 - 1218*n/5 + 1221/5.
-3*(n - 1)*(n + 407)/5
Find n, given that -12*n**5/7 - 500*n**4/7 - 808*n**3/7 - 320*n**2/7 = 0.
-40, -1, -2/3, 0
Let -a**2 + 7438*a - 13830961 = 0. Calculate a.
3719
Factor 5*b**2 - 2675*b + 2670.
5*(b - 534)*(b - 1)
Let m**2 - 114*m - 232 = 0. Calculate m.
-2, 116
Factor -2*i**3 + 20*i**2 - 62*i + 60.
-2*(i - 5)*(i - 3)*(i - 2)
Find w, given that 5*w**2/2 - 85*w/4 - 45/4 = 0.
-1/2, 9
Factor h**3/2 + 132*h**2 + 263*h/2.
h*(h + 1)*(h + 263)/2
Solve 2*x**4/3 + 46*x**3/3 + 84*x**2 + 464*x/3 + 256/3 = 0 for x.
-16, -4, -2, -1
Factor c**5/4 + 5*c**4/4 - c**3/4 - 5*c**2/4.
c**2*(c - 1)*(c + 1)*(c + 5)/4
Let -2*u**5/3 + 2*u**4/3 + 6*u**3 + 22*u**2/3 + 8*u/3 = 0. What is u?
-1, 0, 4
What is u in 5*u**2 + 120*u + 720 = 0?
-12
Solve -90*i**5 + 222*i**4 + 182*i**3 - 118*i**2 + 12*i = 0 for i.
-1, 0, 2/15, 1/3, 3
Solve 9*n**5 + 663*n**4 + 3426*n**3 - 3336*n**2 - 32928*n - 19584 = 0 for n.
-68, -4, -2/3, 3
Solve -n**4/11 + 5*n**3/11 + 4*n**2/11 - 20*n/11 = 0.
-2, 0, 2, 5
Factor -j**2/2 - 25*j - 625/2.
-(j + 25)**2/2
Factor 12*t**4 - 64*t**3 + 116*t**2 - 80*t + 16.
4*(t - 2)**2*(t - 1)*(3*t - 1)
Factor 4*g**2/3 + 8*g - 28/3.
4*(g - 1)*(g + 7)/3
Find b, given that -4*b**2 + 192*b - 188 = 0.
1, 47
Factor 9*f**4 - 15*f**3 - 141*f**2 - 45*f.
3*f*(f - 5)*(f + 3)*(3*f + 1)
Suppose -4*s**3 - 300*s**2 - 7500*s - 62500 = 0. What is s?
-25
Factor z**4/3 - 13*z**3/3 - 4*z**2/3 + 52*z/3.
z*(z - 13)*(z - 2)*(z + 2)/3
Let -2*q**2/5 + 14*q/5 + 16/5 = 0. What is q?
-1, 8
Factor -g**4/3 + 9*g**3 - 193*g**2/3 + 39*g + 338/3.
-(g - 13)**2*(g - 2)*(g + 1)/3
Find s such that 45*s**2/7 + 51*s/7 + 6/7 = 0.
-1, -2/15
Factor -2*x**2 - 6082*x + 12172.
-2*(x - 2)*(x + 3043)
Determine u so that -30*u**2 - 115*u + 20 = 0.
-4, 1/6
Factor -2*g**4/3 + 8*g**3/3 - 2*g**2.
-2*g**2*(g - 3)*(g - 1)/3
Determine f so that 4*f**3/3 - 8*f**2/3 - 52*f - 96 = 0.
-3, 8
Let -2*n**2/9 + 16*n/9 - 10/3 = 0. What is n?
3, 5
Factor 10*k**2/3 - 33*k - 10/3.
(k - 10)*(10*k + 1)/3
Determine n so that 5*n**2 - 1590*n + 126405 = 0.
159
Factor -2*r**4/3 - 2*r**3 + 26*r**2/3 + 10*r.
-2*r*(r - 3)*(r + 1)*(r + 5)/3
Factor 20*s**4 + 195*s**3 + 130*s**2 - 45*s.
5*s*(s + 1)*(s + 9)*(4*s - 1)
Determine m, given that 3*m**5/4 - 203*m**4/4 + 527*m**3/4 - 457*m**2/4 + 65*m/2 = 0.
0, 2/3, 1, 65
What is g in 2*g**4/19 + 52*g**3/19 + 50*g**2/19 = 0?
-25, -1, 0
Let -3*j**5 - 78*j**4 + 279*j**3 + 498*j**2 - 696*j = 0. What is j?
-29, -2, 0, 1, 4
Solve w**2/2 - 7*w + 13/2 = 0 for w.
1, 13
Factor 4*l**4/7 - 12*l**3/7 + 8*l**2/7.
4*l**2*(l - 2)*(l - 1)/7
Solve 2*t**2/3 + 8*t + 64/3 = 0 for t.
-8, -4
Let 12*s**5 - 32*s**4 - 20*s**3 + 24*s**2 = 0. What is s?
-1, 0, 2/3, 3
Find a such that 2*a**2 + 122*a - 384 = 0.
-64, 3
Let -9*i**2/7 + 789*i/7 - 522/7 = 0. Calculate i.
2/3, 87
Factor 2*v**2/3 + 1496*v/3.
2*v*(v + 748)/3
Factor -4*w**2/5 + 192*w/5 - 108.
-4*(w - 45)*(w - 3)/5
What is s in s**4/5 - 273*s**3/5 - 1103*s**2/5 - 1383*s/5 - 554/5 = 0?
-2, -1, 277
Factor 6*s**2 + 67*s + 11.
(s + 11)*(6*s + 1)
Find w, given that 4*w**4 - 24*w**3 + 28*w**2 + 24*w - 32 = 0.
-1, 1, 2, 4
Factor -k**4 + 5*k**3 + 91*k**2 + 163*k + 78.
-(k - 13)*(k + 1)**2*(k + 6)
Suppose -g**5/2 - 4*g**4 - 17*g**3/2 + 7*g**2 + 42*g + 36 = 0. What is g?
-3, -2, 2
Determine k so that -15*k**2 - 385*k + 130 = 0.
-26, 1/3
Factor k**4/3 - 14*k**3/3 + 20*k**2 - 24*k.
k*(k - 6)**2*(k - 2)/3
Determine m, given that -4*m**2/3 + 160*m/3 = 0.
0, 40
Factor m**2/2 - 155*m + 921/2.
(m - 307)*(m - 3)/2
Suppose -3*i**3 - 6*i**2 + 27*i + 54 = 0. Calculate i.
-3, -2, 3
Factor 2*o**3/9 + 40*o**2/9 + 74*o/9 + 4.
2*(o + 1)**2*(o + 18)/9
Find g such that -14*g**5/11 - 254*g**4/11 + 508*g**3/11 - 240*g**2/11 = 0.
-20, 0, 6/7, 1
Find n, given that -2*n**3/7 + 30*n**2/7 - 100*n/7 = 0.
0, 5, 10
Factor -5*h**5 - 35*h**4 + 150*h**3.
-5*h**3*(h - 3)*(h + 10)
Determine b so that 2*b**3/9 + 188*b**2/3 + 17672*b/3 + 1661168/9 = 0.
-94
Factor -d**2 + 234*d - 13689.
-(d - 117)**2
Factor -2*d**2/7 - 196*d.
-2*d*(d + 686)/7
Suppose -2*l**4 - 12*l**3 - 22*l**2 - 12*l = 0. What is l?
-3, -2, -1, 0
Factor -2*z**3 - 40*z**2 - 82*z + 340.
-2*(z - 2)*(z + 5)*(z + 17)
Suppose 4*v**4/9 - 4*v**3/3 - 4*v**2/9 + 4*v/3 = 0. Calculate v.
-1, 0, 1, 3
Factor -2*k**2/15 - 16*k/3 + 82/15.
-2*(k - 1)*(k + 41)/15
Factor 6*s**2 - 279*s - 141.
3*(s - 47)*(2*s + 1)
Suppose z**5 + 13*z**4 - 30*z**3 + 2*z**2 + 29*z - 15 = 0. Calculate z.
-15, -1, 1
Suppose -2*q**4 + 442*q**3 - 3846*q**2 + 6310*q + 10600 = 0. What is q?
-1, 5, 212
Factor 2*m**2 - 74*m - 76.
2*(m - 38)*(m + 1)
Find g, given that 28*g**2 - 167*g + 135 = 0.
27/28, 5
Determine r, given that 21*r**5 - 6*r**4 - 63*r**3 - 24*r**2 + 12*r = 0.
-1, 0, 2/7, 2
What is z in -5*z**4 - 700*z**3 + 2855*z**2 - 3590*z + 1440 = 0?
-144, 1, 2
Factor 6*r**4 + 94*r**3 + 144*r**2 + 56*r.
2*r*(r + 1)*(r + 14)*(3*r + 2)
Find k, given that -2*k**2 - 16*k - 14 = 0.
-7, -1
Factor -2*l**2/15 + 28*l/15.
-2*l*(l - 14)/15
Suppose -2*p**3/13 + 8*p**2/13 + 2*p/13 - 8/13 = 0. Calculate p.
-1, 1, 4
Factor -t**4/4 + 47*t**3/4 - 91*t**2/4 + 45*t/4.
-t*(t - 45)*(t - 1)**2/4
Factor -h**2/3 - 10*h/3 + 25.
-(h - 5)*(h + 15)/3
Factor -f**3/3 + 7*f**2/3 + 17*f/3 + 3.
-(f - 9)*(f + 1)**2/3
Let t**3 + 8*t**2 - 3*t - 90 = 0. Calculate t.
-6, -5, 3
Solve -192*g**5 + 1156*g**4 - 2328*g**3 + 1968*g**2 - 616*g + 12 = 0.
1/48, 1, 3
Factor -2*h**5/3 - 2400*h**4 - 2160000*h**3.
-2*h**3*(h + 1800)**2/3
Find w such that -3*w**3/5 + 459*w**2/5 - 3645*w + 10125 = 0.
3, 75
Factor 2*h**4/9 - 152*h**3/9 - 310*h**2/9 - 52*h/3.
2*h*(h - 78)*(h + 1)**2/9
Factor -3*n**3/7 - 30*n**2/7 - 48*n/7.
