 58*m**2 - 16*m = 0.
0, 2/3, 1, 8
Factor 2*f**4 - 86*f**3 + 766*f**2 - 682*f.
2*f*(f - 31)*(f - 11)*(f - 1)
Factor -2*u**3 - 172*u**2 - 170*u.
-2*u*(u + 1)*(u + 85)
Factor -2*s**3/5 - 6*s**2/5 + 44*s/5 + 48/5.
-2*(s - 4)*(s + 1)*(s + 6)/5
Let 3*q**5/2 + 39*q**4/2 - 165*q**3 + 123*q**2 + 327*q/2 - 285/2 = 0. Calculate q.
-19, -1, 1, 5
Solve z**5/2 + 19*z**4/6 + 41*z**3/6 + 37*z**2/6 + 2*z = 0.
-3, -4/3, -1, 0
Factor -23*y**3 - 277*y**2/3 - 211*y/3 - 1.
-(y + 1)*(y + 3)*(69*y + 1)/3
Factor 3*m**5 + 510*m**4 + 21675*m**3.
3*m**3*(m + 85)**2
Let -h**2/6 - 149*h/2 = 0. Calculate h.
-447, 0
Suppose 3*c**4 - 459*c**3 + 17319*c**2 + 18711*c - 35574 = 0. What is c?
-2, 1, 77
Factor -5*k**2 - 70*k - 165.
-5*(k + 3)*(k + 11)
Factor -2*r**4/7 + 2*r**3/7 + 20*r**2/7 + 16*r/7.
-2*r*(r - 4)*(r + 1)*(r + 2)/7
Factor -3*v**2/4 - 51*v/4 + 27/2.
-3*(v - 1)*(v + 18)/4
Factor -2*s**3/5 + 18*s**2 - 1254*s/5 + 5054/5.
-2*(s - 19)**2*(s - 7)/5
Determine a, given that a**5/4 + 11*a**4 - 3*a**3/4 - 67*a**2/2 - 22*a = 0.
-44, -1, 0, 2
Let -25*d**2 - 235*d = 0. What is d?
-47/5, 0
Solve -2*m**4/9 - 40*m**3/9 - 200*m**2/9 = 0 for m.
-10, 0
What is x in -2*x**3/13 - 20*x**2/13 - 18*x/13 = 0?
-9, -1, 0
Determine r, given that -7*r**5/2 - 83*r**4/2 - 96*r**3 - 54*r**2 = 0.
-9, -2, -6/7, 0
What is r in -2*r**4/11 - 12*r**3/11 - 6*r**2/11 + 20*r/11 = 0?
-5, -2, 0, 1
Find i, given that i**4/6 - 35*i**3/3 + 1225*i**2/6 = 0.
0, 35
Suppose -r**2/2 + 27*r/2 - 36 = 0. Calculate r.
3, 24
Suppose 16*t**4 + 58*t**3 + 56*t**2 + 2*t - 12 = 0. Calculate t.
-2, -1, 3/8
Factor 2*t**4/7 + 22*t**3/7.
2*t**3*(t + 11)/7
Factor 3*w**5/7 + 48*w**4/7 + 297*w**3/7 + 876*w**2/7 + 1200*w/7 + 576/7.
3*(w + 1)*(w + 3)*(w + 4)**3/7
Find b such that b**4 + 3*b**3/2 + b**2/2 = 0.
-1, -1/2, 0
Solve 2*k**4/7 + 16*k**3/7 + 22*k**2/7 - 40*k/7 = 0.
-5, -4, 0, 1
Factor -122*h**3/5 + 246*h**2/5 - 126*h/5 + 2/5.
-2*(h - 1)**2*(61*h - 1)/5
Factor 4*v**4 - 58*v**3 + 224*v**2 - 98*v.
2*v*(v - 7)**2*(2*v - 1)
Solve -2*p**2/9 + 686*p/9 + 688/9 = 0.
-1, 344
Factor -2*f**4/13 + 132*f**3/13 - 2178*f**2/13.
-2*f**2*(f - 33)**2/13
Suppose f**5 + 243*f**4 + 16227*f**3 - 39339*f**2 - 20550024*f + 260611668 = 0. What is f?
-93, 18
Factor 2*p**2/3 + 4648*p/3 + 2700488/3.
2*(p + 1162)**2/3
Factor -2*t**2/7 + 184*t/7 - 26.
-2*(t - 91)*(t - 1)/7
Suppose 3*b**2 + 270*b - 273 = 0. Calculate b.
-91, 1
Factor 4*v**2 + 32*v + 28.
4*(v + 1)*(v + 7)
Factor 2*g**3/17 - 62*g**2/17 + 448*g/17 + 512/17.
2*(g - 16)**2*(g + 1)/17
Factor 5*d**2 - 61700*d + 190344500.
5*(d - 6170)**2
Factor 2*w**5 + 48*w**4 + 190*w**3.
2*w**3*(w + 5)*(w + 19)
Factor 2*i**3/3 - 32*i**2/3 - 38*i/3 + 68/3.
2*(i - 17)*(i - 1)*(i + 2)/3
Factor 2*z**5/19 - 6*z**3/19 - 4*z**2/19.
2*z**2*(z - 2)*(z + 1)**2/19
Factor -i**5 + 11*i**4 + 8*i**3 - 196*i**2 - 448*i - 256.
-(i - 8)**2*(i + 1)*(i + 2)**2
Find g, given that 2*g**5/9 - 8*g**4/9 - 1072*g**3/9 - 10148*g**2/9 - 23122*g/9 - 14036/9 = 0.
-11, -2, -1, 29
Suppose -n**3 + 161*n**2 - 158*n - 320 = 0. Calculate n.
-1, 2, 160
Find y, given that y**5/2 + 6*y**4 - 85*y**3 - 864*y**2 + 3913*y/2 - 1014 = 0.
-13, 1, 12
Find s, given that -3*s**5 + 81*s**4 - 72*s**3 - 156*s**2 = 0.
-1, 0, 2, 26
Factor -b**4 - 11*b**3 - 38*b**2 - 52*b - 24.
-(b + 1)*(b + 2)**2*(b + 6)
Let -2*q**5/7 + 22*q**4/7 - 64*q**3/7 + 8*q**2/7 + 96*q/7 = 0. What is q?
-1, 0, 2, 4, 6
Factor -4*g**3 - 32*g**2 + 140*g + 1176.
-4*(g - 6)*(g + 7)**2
Factor 3*v**4/7 - 33*v**3/7 + 129*v**2/7 - 207*v/7 + 108/7.
3*(v - 4)*(v - 3)**2*(v - 1)/7
Suppose 2*t**4/13 - 4*t**3/13 = 0. What is t?
0, 2
Solve 4*y**5/19 - 34*y**4/19 + 90*y**3/19 - 54*y**2/19 - 54*y/19 = 0.
-1/2, 0, 3
Factor 2*u**4 + 2040*u**3 + 522236*u**2 + 1038360*u + 518162.
2*(u + 1)**2*(u + 509)**2
Factor 49*u**4 + 448*u**3 + 814*u**2 - 960*u + 225.
(u + 5)**2*(7*u - 3)**2
Solve 2*a**4/3 - 16*a**3/3 - 220*a**2/3 + 672*a - 594 = 0 for a.
-11, 1, 9
Suppose 2*p**4/5 - 2*p**3 + 2*p**2 + 2*p - 12/5 = 0. Calculate p.
-1, 1, 2, 3
Suppose 14*j**4 + 374*j**3 - 122*j**2 - 374*j + 108 = 0. Calculate j.
-27, -1, 2/7, 1
Find f, given that 3*f**5/5 + 33*f**4/5 + 27*f**3 + 51*f**2 + 222*f/5 + 72/5 = 0.
-4, -3, -2, -1
Solve 2*f**5/23 + 2*f**4/23 - 86*f**3/23 + 214*f**2/23 + 12*f/23 - 288/23 = 0 for f.
-8, -1, 2, 3
Let -14*v**3/5 + 3812*v**2/5 + 18302*v/5 - 1108 = 0. Calculate v.
-5, 2/7, 277
Suppose k**2/5 - 194*k/5 - 39 = 0. Calculate k.
-1, 195
Factor 2*z**5/5 - 82*z**4/5 + 234*z**3/5 - 46*z**2 + 76*z/5.
2*z*(z - 38)*(z - 1)**3/5
Factor -2*w**3/11 + 82*w**2/11 - 670*w/11 + 1550/11.
-2*(w - 31)*(w - 5)**2/11
Suppose 3*t**3 - 441*t**2 + 21609*t - 352947 = 0. What is t?
49
Solve -5*c**2 + 170*c - 1445 = 0 for c.
17
Factor -5*r**4 - 55*r**3 + 70*r**2 + 120*r.
-5*r*(r - 2)*(r + 1)*(r + 12)
Let -4*v**4 + 56*v**3 + 192*v**2 + 200*v + 68 = 0. Calculate v.
-1, 17
Find z such that 2*z**4/3 + 2*z**3 - 82*z**2/3 - 2*z + 80/3 = 0.
-8, -1, 1, 5
Let d**5/2 + 5*d**4/4 - 47*d**3/4 - 13*d**2/2 + 6*d = 0. What is d?
-6, -1, 0, 1/2, 4
Let 3*g**5 - 30*g**4 - 81*g**3 + 480*g**2 + 528*g = 0. Calculate g.
-4, -1, 0, 4, 11
Factor -4*v**3 + 2556*v**2 + 5124*v + 2564.
-4*(v - 641)*(v + 1)**2
Determine l, given that -2*l**2/15 + 20*l/3 = 0.
0, 50
Factor v**3 + 9*v**2 + 24*v + 16.
(v + 1)*(v + 4)**2
Factor 25*z**4/4 + 7295*z**3/4 - 8781*z**2/4 + 2637*z/4.
z*(z + 293)*(5*z - 3)**2/4
Factor 2*r**4/9 - 40*r**3/3 + 538*r**2/9 + 220*r/3.
2*r*(r - 55)*(r - 6)*(r + 1)/9
Factor -2*o**3/5 + 2*o**2/5 + 2*o/5 - 2/5.
-2*(o - 1)**2*(o + 1)/5
Suppose -5*v**4 - 585*v**3 - 9885*v**2 - 18035*v - 8730 = 0. Calculate v.
-97, -18, -1
Determine s so that -4*s**4/3 + 8*s**2 - 32*s/3 + 4 = 0.
-3, 1
Suppose -2*h**2/9 - 38*h/9 + 832/9 = 0. Calculate h.
-32, 13
Suppose -x**4/4 + 3*x**3/4 + 20*x**2 - 21*x - 40 = 0. What is x?
-8, -1, 2, 10
Factor 2*v**3 - 134*v**2 + 1232*v.
2*v*(v - 56)*(v - 11)
Solve -50*u**4/3 - 58*u**3/3 + 242*u**2/3 - 110*u/3 - 8 = 0 for u.
-3, -4/25, 1
Let b**4/3 - 560*b**3/3 + 77272*b**2/3 + 105280*b + 106032 = 0. What is b?
-2, 282
Determine i, given that -2*i**2 + 368*i - 16928 = 0.
92
Solve 3*o**2 - 288*o + 285 = 0 for o.
1, 95
Determine h so that 5*h**2 - 3070*h - 3075 = 0.
-1, 615
Find k such that -k**2 + k + 20 = 0.
-4, 5
Find q, given that -q**4 + 10*q**3 + 5*q**2 - 150*q - 144 = 0.
-3, -1, 6, 8
Find n, given that -n**2/10 - 473*n - 1118645/2 = 0.
-2365
Factor 2*a**5/3 - 98*a**4/3 + 1718*a**3/3 - 4170*a**2 + 10800*a - 9000.
2*(a - 15)**3*(a - 2)**2/3
Solve -31250*k**3/17 + 7500*k**2/17 - 600*k/17 + 16/17 = 0.
2/25
Let -604*v**3 + 3632*v**2 - 3068*v + 40 = 0. What is v?
2/151, 1, 5
Suppose 4*u**2 - 112*u + 108 = 0. Calculate u.
1, 27
Factor 3*s**2 + 2247*s + 4482.
3*(s + 2)*(s + 747)
Find s such that 3*s**2 - 26310*s + 57684675 = 0.
4385
What is x in 5*x**3 - 90*x**2 + 355*x - 390 = 0?
2, 3, 13
Factor 2*m**3/3 + 10*m**2.
2*m**2*(m + 15)/3
Let -2*o**4/5 + 8*o**3/5 + 88*o**2/5 - 192*o/5 - 1152/5 = 0. Calculate o.
-4, 6
Determine a, given that -4*a**5 - 164*a**4 + 1236*a**3 + 4644*a**2 - 21600*a - 60912 = 0.
-47, -3, 6
Factor 2*r**3/3 + 82*r**2/3 + 80*r/3.
2*r*(r + 1)*(r + 40)/3
Factor 4*m**4/5 + 20*m**3 + 352*m**2/5 + 336*m/5.
4*m*(m + 2)**2*(m + 21)/5
Solve 5*j**2 - 390*j + 7605 = 0 for j.
39
Factor -j**4 - 19*j**3 + 336*j**2 - 1116*j.
-j*(j - 6)**2*(j + 31)
Factor 3*t**3 + 15*t**2.
3*t**2*(t + 5)
Factor 3*y**3 - 168*y**2 - 933*y + 1098.
3*(y - 61)*(y - 1)*(y + 6)
Determine o so that 2*o**4 + 46*o**3 - 48*o**2 = 0.
-24, 0, 1
Find j, given that 8*j**4 + 366*j**3 + 588*j**2 - 1226*j + 264 = 0.
-44, -3, 1/4, 1
Suppose 5*r**2 - 325*r = 0. What is r?
0, 65
What is j in -4*j**2 + 544*j - 18496 = 0?
68
Factor -4*h**3 - 3324*h**2 - 692220*h - 688900.
-4*(h + 1)*(h + 415)**2
Suppose 12*c**3 + 384*c**2 - 393*c + 99 = 0. Calculate c.
-33, 1/2
Suppose -5*i**3 + 920*i**2 - 44945*i + 237630 = 0. Calculate i.
6, 89
Solve 30*r**5/7 + 22*r**4 - 190*r**3/7 - 178*r**2/7 + 160*r/7 + 24/7 = 0 for r.
-6, -1, -2/15, 1
Factor 4*i**3/5 + 68*i**2/5 - 72*i/5.
4*i*(i - 1)*(i + 18)/5
Find b, given that 10*b**3 + 5720*b**2 + 1630185*b/2 - 1641645/2 = 0.
-573/2, 1
What is w in 2*w**2/17 - 16*w/17 + 32/17 = 0?
4
Determine z so that 4*z**3 - 16*z**2 - 48*z = 0.
-2, 0, 6
Solve -x**5 - 7*x**4 + 3*x**3/4 + 5*x**2 - 7*x/4 = 0 for x.
-7, -1, 0, 1/2
Factor -g**5/3 + 10*g**4/3 - 16