or -5*v**4 - 20*v**3 - 10*v**2 + 20*v + 15.
-5*(v - 1)*(v + 1)**2*(v + 3)
Solve v**4/3 - 14*v**3/3 + 35*v**2/3 + 50*v/3 = 0 for v.
-1, 0, 5, 10
Solve 5*g**5 + 50*g**4 + 135*g**3 - 70*g**2 - 640*g - 480 = 0 for g.
-4, -3, -1, 2
Find f such that 3*f**3/2 + 111*f**2 + 4515*f/2 + 7350 = 0.
-35, -4
Determine x, given that x**3/2 + 8*x**2 + 14*x = 0.
-14, -2, 0
Find q, given that -q**2/4 - 287*q/4 - 283 = 0.
-283, -4
Find n, given that -2*n**3 + 2277*n**2/2 - 569*n/2 = 0.
0, 1/4, 569
Solve -q**5/4 - q**4/2 + 5*q**3/4 + 3*q**2/2 = 0.
-3, -1, 0, 2
Determine w, given that -4*w**2 - 244*w + 248 = 0.
-62, 1
Solve -2*i**4 + 32*i**3 + 236*i**2 - 560*i + 294 = 0.
-7, 1, 21
Solve -9*w**4 + 75*w**3 + 63*w**2 - 75*w - 54 = 0.
-1, -2/3, 1, 9
Factor 3*a**2 + 2298*a + 440067.
3*(a + 383)**2
What is h in -2*h**3/3 - 190*h**2/3 - 1472*h + 1536 = 0?
-48, 1
Determine z, given that -2*z**2 + 1214*z = 0.
0, 607
Find r, given that -4*r**5/7 + 120*r**4/7 - 628*r**3/7 - 4080*r**2/7 - 4624*r/7 = 0.
-2, 0, 17
What is v in -3*v**4 - 51*v**3 - 240*v**2 - 300*v = 0?
-10, -5, -2, 0
Factor 2*m**2 + 198*m.
2*m*(m + 99)
Factor -2*n**2/3 - 808*n/3 + 1624/3.
-2*(n - 2)*(n + 406)/3
Find n, given that -2*n**3 - 68*n**2 - 502*n + 1292 = 0.
-19, -17, 2
Suppose -x**2/2 - 15*x - 108 = 0. What is x?
-18, -12
Factor 5*z**2 + 140*z + 980.
5*(z + 14)**2
Suppose 3*t**5 + 6*t**4 - 9*t**3 - 24*t**2 - 12*t = 0. What is t?
-2, -1, 0, 2
Determine m so that -5*m**5 + 55*m**4 - 135*m**3 + 125*m**2 - 40*m = 0.
0, 1, 8
Let 2*l**3/3 - 60*l**2 + 526*l + 1760/3 = 0. Calculate l.
-1, 11, 80
Let -g**5/4 + 97*g**4/4 - 141*g**3/2 - g**2 + 94*g = 0. What is g?
-1, 0, 2, 94
Find b such that 43*b**2 + 44*b + 1 = 0.
-1, -1/43
Solve -3*s**4 - 306*s**3 - 9408*s**2 - 72864*s + 185856 = 0.
-44, -16, 2
Suppose -2*j**4/23 - 190*j**3/23 - 188*j**2/23 = 0. What is j?
-94, -1, 0
Suppose -5*l**5 - 315*l**4 - 5655*l**3 - 21025*l**2 = 0. What is l?
-29, -5, 0
Factor i**4/4 - 3*i**3/2 - 10*i**2.
i**2*(i - 10)*(i + 4)/4
Factor -4*y**2 - 24*y - 20.
-4*(y + 1)*(y + 5)
Suppose 25*w**3/7 - 95*w**2/7 + 64*w/7 - 12/7 = 0. Calculate w.
2/5, 3
Factor d**4 - 7*d**3 + 5*d**2 + 7*d - 6.
(d - 6)*(d - 1)**2*(d + 1)
Solve 5*n**4 - 25790*n**3 + 33230405*n**2 + 66538200*n + 33282000 = 0 for n.
-1, 2580
What is w in -6*w**5/5 - 2*w**4 + 4*w**3 + 8*w**2 + 16*w/5 = 0?
-2, -1, -2/3, 0, 2
Let 3*k**4/5 + 3*k**3/5 - 3*k**2/5 - 3*k/5 = 0. What is k?
-1, 0, 1
Factor -20*y**5 + 56*y**4 + 12*y**3.
-4*y**3*(y - 3)*(5*y + 1)
Let 3*z**2 - 189*z + 186 = 0. What is z?
1, 62
Determine o so that -4*o**2 - 108*o - 104 = 0.
-26, -1
Let 3*c**5 + 3*c**4 - 678*c**3 + 2778*c**2 + 7587*c + 4131 = 0. What is c?
-17, -1, 9
Factor 5*r**2 + 760*r - 7245.
5*(r - 9)*(r + 161)
Factor l**2/9 + 11*l/9.
l*(l + 11)/9
Let -5*f**4 + 725*f**3 - 19115*f**2 - 544725*f - 524880 = 0. Calculate f.
-16, -1, 81
Find k such that k**5 - 20*k**4 + 110*k**3 - 40*k**2 - 495*k - 324 = 0.
-1, 4, 9
Determine u, given that 4*u**3/3 - 1834*u**2/3 + 210680*u/3 - 104882/3 = 0.
1/2, 229
Suppose 2*d**3/21 + 16*d**2/3 + 1408*d/21 + 5120/21 = 0. Calculate d.
-40, -8
Solve 2*k**2/17 - 302*k/17 + 596/17 = 0 for k.
2, 149
What is c in -17*c**2/3 + 101*c/3 + 2 = 0?
-1/17, 6
Factor -4*s**3 - 52*s**2 + 560*s.
-4*s*(s - 7)*(s + 20)
Solve 3*w**2 + 27*w + 42 = 0.
-7, -2
Determine b so that -2*b**2/5 - 1464*b/5 - 267912/5 = 0.
-366
Factor 3*m**2/4 - 9*m/4 - 21.
3*(m - 7)*(m + 4)/4
Suppose 2*p**3/3 - 4*p**2 - 6*p + 28/3 = 0. Calculate p.
-2, 1, 7
Factor w**2/5 + 22*w/5 + 21/5.
(w + 1)*(w + 21)/5
Let -5*v**5 - 50*v**4 - 45*v**3 = 0. Calculate v.
-9, -1, 0
Solve -4*h**2/3 - 44*h + 136/3 = 0.
-34, 1
Factor -27*n**3/7 - 60*n**2/7 - 39*n/7 - 6/7.
-3*(n + 1)**2*(9*n + 2)/7
Factor -24*k**4 + 237*k**3 - 381*k**2 + 168*k.
-3*k*(k - 8)*(k - 1)*(8*k - 7)
Find q such that -20*q**5 - 85*q**4 + 220*q**3 + 60*q**2 = 0.
-6, -1/4, 0, 2
Factor 5*s**4 + 275*s**3 + 3000*s**2 - 22500*s.
5*s*(s - 5)*(s + 30)**2
Factor -8*q**4 - 41*q**3 - 37*q**2 - 4*q.
-q*(q + 1)*(q + 4)*(8*q + 1)
Factor 5*i**2 - 490*i + 12005.
5*(i - 49)**2
Let -m**3 + 6*m**2 + 40*m - 192 = 0. Calculate m.
-6, 4, 8
Solve -y**5/9 - 13*y**4/9 + 16*y**3/9 + 28*y**2/9 = 0.
-14, -1, 0, 2
Find a, given that 3*a**3 - 69*a**2/2 - 57*a - 39/2 = 0.
-1, -1/2, 13
Factor 3*j**4 + 180*j**3 - 558*j**2 + 564*j - 189.
3*(j - 1)**3*(j + 63)
Solve -34*z**4/13 - 404*z**3/13 + 1510*z**2/13 - 1192*z/13 + 120/13 = 0 for z.
-15, 2/17, 1, 2
Find d such that d**4/4 - d**2/2 + 1/4 = 0.
-1, 1
Factor -2*p**3/5 - 406*p**2/5 + 818*p/5 - 82.
-2*(p - 1)**2*(p + 205)/5
Factor -i**3/3 + 14*i**2/9 - 8*i/9.
-i*(i - 4)*(3*i - 2)/9
Let -3*q**3 + 60*q**2 - 384*q + 768 = 0. What is q?
4, 8
Let 2*x**2/3 - 1448*x + 786264 = 0. Calculate x.
1086
Let -2*w**3 + 190*w**2 + 192*w = 0. What is w?
-1, 0, 96
Suppose -25*z**5 - 140*z**4 - 165*z**3 - 10*z**2 + 40*z = 0. What is z?
-4, -1, 0, 2/5
Determine l so that -4*l**3/5 + 7*l**2/5 + 7*l/5 - 2 = 0.
-5/4, 1, 2
Factor 3*h**3 - 423*h**2 - 2646*h.
3*h*(h - 147)*(h + 6)
Factor 2*k**3/5 + 12*k**2 + 114*k/5 + 56/5.
2*(k + 1)**2*(k + 28)/5
What is p in 2*p**5 - 31*p**4 - 18*p**3 + 31*p**2 + 16*p = 0?
-1, -1/2, 0, 1, 16
Factor -3*f**3 + 369*f**2 + 3096*f + 6288.
-3*(f - 131)*(f + 4)**2
Find m such that 8*m**3/3 + 382*m**2/9 + 1504*m/9 - 128/9 = 0.
-8, 1/12
Solve -k**4 + 146*k**3 - 144*k**2 - 146*k + 145 = 0 for k.
-1, 1, 145
Factor 5*d**4 - 415*d**3 + 1600*d**2 - 1580*d.
5*d*(d - 79)*(d - 2)**2
Let 2*y**2/7 + 10*y/7 + 8/7 = 0. Calculate y.
-4, -1
Factor -140*p**2 - 135*p + 5.
-5*(p + 1)*(28*p - 1)
Factor 3*s**2 - 354*s + 10443.
3*(s - 59)**2
Factor 4*i**4 - 20*i**3 - 4*i**2 + 20*i.
4*i*(i - 5)*(i - 1)*(i + 1)
Let -2*f**2 + 1768*f - 390728 = 0. What is f?
442
Factor -z**3 + 2*z**2 - z.
-z*(z - 1)**2
Determine x, given that 4*x**2/3 + 16*x = 0.
-12, 0
Find n, given that -5*n**5 - 175*n**4 + 1855*n**3 - 5365*n**2 + 5890*n - 2200 = 0.
-44, 1, 2, 5
Determine o so that 5*o**2 + 823*o/2 + 123 = 0.
-82, -3/10
Factor -4*d**4 - 8*d**3 + 16*d**2 + 32*d.
-4*d*(d - 2)*(d + 2)**2
Factor -4*t**4 - 8*t**3 + 4*t**2 + 8*t.
-4*t*(t - 1)*(t + 1)*(t + 2)
Determine v so that 2*v**4/7 - 6*v**3/7 - 18*v**2/7 - 10*v/7 = 0.
-1, 0, 5
Determine y so that y**2/2 + 89*y + 7921/2 = 0.
-89
Factor -2*j**4/9 - 80*j**3/3 - 1200*j**2 - 24000*j - 180000.
-2*(j + 30)**4/9
Solve 3*l**3/4 + 81*l**2/2 + 504*l - 1176 = 0.
-28, 2
Factor 2*o**5/3 - 28*o**4/3 + 16*o**3.
2*o**3*(o - 12)*(o - 2)/3
Suppose 12*b**5/5 - 61*b**4/5 - 8*b**3/5 + 66*b**2/5 - 4*b/5 - 1 = 0. What is b?
-1, -1/4, 1/3, 1, 5
Solve 4*i**4 + 120*i**3 + 96*i**2 - 568*i + 348 = 0 for i.
-29, -3, 1
Suppose -g**2 - 1442*g - 519841 = 0. Calculate g.
-721
Factor -y**4/5 - 8*y**3/5 - 23*y**2/5 - 28*y/5 - 12/5.
-(y + 1)*(y + 2)**2*(y + 3)/5
Factor j**3/5 + j**2 + 4*j/5.
j*(j + 1)*(j + 4)/5
Factor 87*u**2 + 13395*u/2 - 231/2.
3*(u + 77)*(58*u - 1)/2
Factor 2*k**3 + 6*k**2 - 428*k + 816.
2*(k - 12)*(k - 2)*(k + 17)
Factor 7*z**2/4 + 1997*z/4 + 285/2.
(z + 285)*(7*z + 2)/4
Find i such that 12*i**4/7 - 77060*i**3/7 + 17671508*i**2 + 41293460*i/7 - 82484168/7 = 0.
-1, 2/3, 3211
Factor 2*x**4/5 + 364*x**3/5 + 216*x**2 + 1076*x/5 + 358/5.
2*(x + 1)**3*(x + 179)/5
Factor -2*u**3/15 - 14*u**2/15.
-2*u**2*(u + 7)/15
Factor h**5 + 6*h**4 + 12*h**3 + 10*h**2 + 3*h.
h*(h + 1)**3*(h + 3)
Find v such that -2*v**4/15 + 32*v**3/15 - 58*v**2/5 + 368*v/15 - 224/15 = 0.
1, 4, 7
Determine u so that 5*u**3 + 40*u**2 + 85*u + 50 = 0.
-5, -2, -1
Suppose -5*n**2 - 25*n + 250 = 0. What is n?
-10, 5
Determine k, given that 4*k**3 + 3072*k**2 + 786432*k + 67108864 = 0.
-256
Factor -3*r**2/4 + 48*r - 2205/4.
-3*(r - 49)*(r - 15)/4
Factor c**4/8 - 3*c**3/8 - 9*c**2/8 + 27*c/8.
c*(c - 3)**2*(c + 3)/8
Find m such that 5*m**3 - 70*m**2 - 275*m + 4840 = 0.
-8, 11
Suppose -96*i**4/5 + 292*i**3/5 - 60*i**2 + 108*i/5 - 4/5 = 0. Calculate i.
1/24, 1
Determine m so that -42*m**3 - 885*m**2/2 - 228*m - 30 = 0.
-10, -2/7, -1/4
Let -141*q**2 - 3660*q + 156 = 0. Calculate q.
-26, 2/47
Determine v so that -46*v**3/5 - 48*v**2/5 + 18*v + 4/5 = 0.
-2, -1/23, 1
Factor -6*t**3/5 - 14*t**2/5 + 28*t + 48/5.
-2*(t - 4)*(t + 6)*(3*t + 1)/5
Factor 11*p**2/2 + 9*p/2 - 1.
(p + 1)*(11*p - 2)/2
Let -118*y**2/15 + 116*y/15 + 2/15 = 0. What is y?
-1/59, 1
Factor r**3/3 - 98*r**2/3 + 64*r.
r*(r - 96)*(r - 2)/3
So