- 45*v - 450.
5*(v - 3)*(v + 3)*(v + 10)
Factor -4*l**2 + 84*l + 400.
-4*(l - 25)*(l + 4)
Factor -4*o**4/5 + 8*o**3/5 + 28*o**2/5 + 16*o/5.
-4*o*(o - 4)*(o + 1)**2/5
Factor 3*t**2 + 76*t - 52.
(t + 26)*(3*t - 2)
Factor 4*u**2/5 - 238*u/5 - 242/5.
2*(u + 1)*(2*u - 121)/5
Factor 4*n**4 + 56*n**3 + 52*n**2.
4*n**2*(n + 1)*(n + 13)
Determine g, given that g**2/3 - 5*g - 154/3 = 0.
-7, 22
Factor 3*g**2 + 27*g + 60.
3*(g + 4)*(g + 5)
Factor -16*g**5 - 12*g**4 + 4*g**3.
-4*g**3*(g + 1)*(4*g - 1)
Factor -h**2/3 + 2*h/3 + 80/3.
-(h - 10)*(h + 8)/3
Let 2*a**2 - 486*a - 488 = 0. What is a?
-1, 244
Factor -a**2 + 12*a - 27.
-(a - 9)*(a - 3)
Factor -z**3 + 223*z**2 + z - 223.
-(z - 223)*(z - 1)*(z + 1)
Factor 4*o**4 + 432*o**3 + 11664*o**2.
4*o**2*(o + 54)**2
Factor -b**2/2 - 43*b/2 - 21.
-(b + 1)*(b + 42)/2
Let x**3/8 - 13*x**2/8 - 2*x + 7/2 = 0. Calculate x.
-2, 1, 14
Determine m so that -2*m**4/13 - 20*m**3/13 - 56*m**2/13 - 48*m/13 = 0.
-6, -2, 0
Let -9*x**4 - 12*x**3 + 6*x**2 + 12*x + 3 = 0. Calculate x.
-1, -1/3, 1
Suppose -3*z**2 - 246*z - 243 = 0. What is z?
-81, -1
Factor -4*o**5/5 + 12*o**4/5 + 36*o**3/5 + 4*o**2.
-4*o**2*(o - 5)*(o + 1)**2/5
Suppose d**5/6 + 20*d**4/3 - 73*d**3/2 + 137*d**2/3 + 86*d/3 - 60 = 0. Calculate d.
-45, -1, 2
Find r, given that 4*r**3/5 - 68*r**2/5 + 256*r/5 - 192/5 = 0.
1, 4, 12
What is b in 3*b**3 + 15*b**2 + 9*b - 27 = 0?
-3, 1
Let -12*r**4/7 + 2*r**3 + 18*r**2/7 + 4*r/7 = 0. Calculate r.
-1/2, -1/3, 0, 2
Find q, given that 12*q**4 + 68*q**3 - 24*q**2 = 0.
-6, 0, 1/3
Factor -226*w**2/17 - 674*w/17 + 12/17.
-2*(w + 3)*(113*w - 2)/17
Let -p**5 - 20*p**4 - 46*p**3 + 88*p**2 + 47*p - 68 = 0. Calculate p.
-17, -4, -1, 1
Suppose -81*k**4 + 423*k**3 - 276*k**2 - 468*k - 48 = 0. Calculate k.
-2/3, -1/9, 2, 4
Find c such that 12*c**4/5 - 309*c**3/5 + 2142*c**2/5 - 849*c - 240 = 0.
-1/4, 5, 16
Solve 10*t**2 + 76*t - 32 = 0 for t.
-8, 2/5
Find o, given that 12*o**5/5 - 128*o**4/5 + 24*o**3 + 112*o**2 - 132*o/5 - 432/5 = 0.
-4/3, -1, 1, 3, 9
Factor 2*f**2/17 + 66*f/17 - 2576/17.
2*(f - 23)*(f + 56)/17
Solve -19*n**5 - 74*n**4 - 87*n**3 - 28*n**2 + 4*n = 0.
-2, -1, 0, 2/19
Determine o so that o**4/6 + 13*o**3/6 - 14*o**2 + 18*o = 0.
-18, 0, 2, 3
Let 2*k**4/3 + 6*k**3 - 2*k**2 - 50*k/3 + 12 = 0. Calculate k.
-9, -2, 1
Factor 2*q**2/9 + 44*q/9 - 32/3.
2*(q - 2)*(q + 24)/9
Factor -3*n**2 - 6*n + 24.
-3*(n - 2)*(n + 4)
Solve 2*u**2/3 + 26*u/3 - 136/3 = 0.
-17, 4
Solve 4*q**4/9 - 16*q**3 - 428*q**2/9 + 4600*q - 80000/9 = 0 for q.
-16, 2, 25
Factor -v**2/4 + 246*v + 493.
-(v - 986)*(v + 2)/4
Factor s**3 + 36*s**2 - 75*s + 38.
(s - 1)**2*(s + 38)
Determine r so that 2*r**3/13 + 154*r**2/13 + 302*r/13 + 150/13 = 0.
-75, -1
Factor 21*y**2 - 867*y - 888.
3*(y + 1)*(7*y - 296)
Factor -3*c**3 - 7*c**2 - 2*c.
-c*(c + 2)*(3*c + 1)
Let -5*s**4/3 - 610*s**3/3 = 0. What is s?
-122, 0
Solve 10*c**5 - 45*c**4 - 30*c**3 + 25*c**2 = 0.
-1, 0, 1/2, 5
Determine l, given that 124*l**5 - 178*l**4/3 - 1120*l**3/3 + 426*l**2 - 344*l/3 - 8/3 = 0.
-2, -2/93, 1/2, 1
What is q in -4*q**3 - 100*q**2 - 88*q + 192 = 0?
-24, -2, 1
Find u such that u**2/2 - 261*u/2 - 665 = 0.
-5, 266
Factor -3*t**4/2 - 9*t**3 - 39*t**2/2 - 18*t - 6.
-3*(t + 1)**2*(t + 2)**2/2
Factor q**5/2 + 21*q**4/2 - 25*q**3/2 - 61*q**2/2 + 54*q - 22.
(q - 1)**3*(q + 2)*(q + 22)/2
What is m in 106*m**4/13 - 216*m**3/13 - 2218*m**2/13 - 1824*m/13 + 72/13 = 0?
-3, -1, 2/53, 6
What is m in -m**4 - 6*m**3 + 8*m**2 + 6*m - 7 = 0?
-7, -1, 1
Suppose -3*u**2 - 5599*u - 1866 = 0. Calculate u.
-1866, -1/3
Let 28*p**4/9 - 1846*p**3/3 + 9826*p**2/9 - 1700*p/3 + 784/9 = 0. Calculate p.
2/7, 1/2, 1, 196
Factor -3*o**2 - 3657*o + 7326.
-3*(o - 2)*(o + 1221)
Determine o, given that -5*o**4 + 1535*o**3 - 117030*o**2 - 121660*o + 237160 = 0.
-2, 1, 154
Factor 4*l**4/5 + 4*l**3/5 - 12*l**2/5 - 4*l/5 + 8/5.
4*(l - 1)**2*(l + 1)*(l + 2)/5
Solve -2*k**4/5 + 74*k**3/5 + 586*k**2/5 + 1302*k/5 + 792/5 = 0 for k.
-3, -1, 44
Solve 3*c**4 + 17*c**3 - 27*c**2 + 7*c = 0.
-7, 0, 1/3, 1
Factor 21*m**3 - 18822*m**2 + 4220160*m - 1204224.
3*(m - 448)**2*(7*m - 2)
Determine r, given that 4*r**2/7 + 180*r/7 - 376/7 = 0.
-47, 2
Let 3*o**2/2 + 93*o/2 - 48 = 0. What is o?
-32, 1
What is d in 3*d**3/7 - 114*d**2/7 + 603*d/7 - 864/7 = 0?
3, 32
Factor -10*f**3 + 42*f**2 - 56*f + 24.
-2*(f - 2)*(f - 1)*(5*f - 6)
What is i in -22*i**2 + 54*i - 32 = 0?
1, 16/11
Solve q**3/5 + 31*q**2/5 + 159*q/5 + 45 = 0.
-25, -3
Determine k so that -95*k**4 - 275*k**3 + 2405*k**2 - 2245*k + 210 = 0.
-7, 2/19, 1, 3
Factor -2*s**3 - 22*s**2 + 2*s + 22.
-2*(s - 1)*(s + 1)*(s + 11)
Suppose 12*y**3 - 364*y**2 + 361*y/3 - 10 = 0. What is y?
1/6, 30
Let -f**3/5 + 101*f**2/5 - 391*f/5 + 291/5 = 0. What is f?
1, 3, 97
Solve 5*y**5 + 35*y**4 - 170*y**3 - 710*y**2 + 3045*y - 2205 = 0 for y.
-7, 1, 3
Let 10*c**2/7 - 3124*c/7 + 1248/7 = 0. What is c?
2/5, 312
Suppose -4*c**3 - 568*c**2 + 1148*c - 576 = 0. Calculate c.
-144, 1
Solve 5*s**4 + 23*s**3 - 65*s**2 - 359*s - 276 = 0 for s.
-23/5, -3, -1, 4
Factor 21*c**3 + 3051*c**2 + 12714*c + 3384.
3*(c + 4)*(c + 141)*(7*c + 2)
Suppose 62*u**5/13 + 190*u**4/13 - 360*u**3/13 - 40*u**2 - 32*u/13 = 0. Calculate u.
-4, -1, -2/31, 0, 2
Factor -2*v**3 - 2*v**2 + 34*v - 30.
-2*(v - 3)*(v - 1)*(v + 5)
Factor -5*a**2 - 30*a - 45.
-5*(a + 3)**2
Factor -i**3 - 40*i**2/3 - 52*i - 48.
-(i + 6)**2*(3*i + 4)/3
Factor -2*h**3/3 + 166*h**2/3 - 748*h.
-2*h*(h - 66)*(h - 17)/3
Factor -o**5 + 6*o**4 - 9*o**3 + 4*o**2.
-o**2*(o - 4)*(o - 1)**2
Factor k**3/3 + 7*k**2/3 + 11*k/3 + 5/3.
(k + 1)**2*(k + 5)/3
Factor -q**4 + 8*q**3 - 12*q**2.
-q**2*(q - 6)*(q - 2)
Factor -2*c**3/5 - 464*c**2/5 - 3616*c/5 - 7168/5.
-2*(c + 4)**2*(c + 224)/5
What is q in -q**2/2 - 33*q/4 + 265/2 = 0?
-53/2, 10
Let n**2/5 - 4053*n/5 + 4052/5 = 0. What is n?
1, 4052
Factor -3*n**4 + 510*n**3 - 23619*n**2 + 165240*n - 314928.
-3*(n - 81)**2*(n - 4)**2
Suppose -a**3/3 + 52*a**2 - 305*a/3 - 154 = 0. What is a?
-1, 3, 154
Let 2*j**5 + 20*j**4 + 26*j**3 - 120*j**2 + 72*j = 0. What is j?
-6, 0, 1
Solve -b**4/7 + 94*b**3/7 + b**2/7 - 94*b/7 = 0.
-1, 0, 1, 94
Determine h, given that 2*h**3 + 44*h**2 + 222*h + 180 = 0.
-15, -6, -1
Factor -x**2/2 - 471*x - 221841/2.
-(x + 471)**2/2
Factor -4*b**2 - 51*b + 55.
-(b - 1)*(4*b + 55)
Let 3*b**3/4 - 393*b**2 + 9351*b/4 - 6993/2 = 0. Calculate b.
3, 518
Determine m so that -10*m**5 - 14*m**4 + 58*m**3/5 + 94*m**2/5 - 16*m/5 - 32/5 = 0.
-1, 4/5
Suppose 38*h**4/3 - 80*h**3/3 + 8*h**2/3 = 0. Calculate h.
0, 2/19, 2
What is a in -4*a**3 - 40*a**2 - 100*a = 0?
-5, 0
Factor 2*d**3/5 + 32*d**2/5 - 34*d/5.
2*d*(d - 1)*(d + 17)/5
Let n**2/10 + 580*n + 841000 = 0. Calculate n.
-2900
Factor 3*d**3 - 141*d**2 + 1584*d + 1728.
3*(d - 24)**2*(d + 1)
Factor -m**2/4 - 11*m/4 - 6.
-(m + 3)*(m + 8)/4
Factor 3*i**4/8 - 33*i**3/4 + 36*i**2.
3*i**2*(i - 16)*(i - 6)/8
Determine n, given that -n**5/4 + 217*n**4/4 - 7773*n**3/2 + 178193*n**2/2 + 825995*n/4 - 1167051/4 = 0.
-3, 1, 73
Determine d, given that 4*d**2 + 104*d + 352 = 0.
-22, -4
Solve -5*j**5 + 15*j**4 - 15*j**3 + 5*j**2 = 0 for j.
0, 1
Solve 4*m**3 - 48*m**2 + 36*m + 88 = 0.
-1, 2, 11
Let j**4 + 22*j**3 - 192*j**2 + 314*j - 145 = 0. Calculate j.
-29, 1, 5
Factor s**2 - 8372*s + 17522596.
(s - 4186)**2
Suppose w**3/4 + 7*w**2 = 0. Calculate w.
-28, 0
Factor -x**2/2 + 349*x - 696.
-(x - 696)*(x - 2)/2
Factor r**3/3 + 25*r**2/3 + 46*r/3.
r*(r + 2)*(r + 23)/3
Factor -2*h**3 - 54*h**2 - 334*h + 390.
-2*(h - 1)*(h + 13)*(h + 15)
Find j, given that -24*j**2 - 105*j/2 - 9 = 0.
-2, -3/16
Suppose v**4/5 - v**3 + 7*v**2/5 - 3*v/5 = 0. Calculate v.
0, 1, 3
Suppose -2*m**3/5 + 304*m**2/5 - 602*m/5 + 60 = 0. Calculate m.
1, 150
Suppose -4*v**4 + 816*v**3 + 20312*v**2 + 129360*v + 109868 = 0. Calculate v.
-11, -1, 227
Factor -4*h**3 + 8972*h**2 - 5035532*h + 5026564.
-4*(h - 1121)**2*(h - 1)
Find x such that -x**3/3 + 5*x**2/3 + 19*x + 33 = 0.
-3, 11
Determine w so that -4*w**3 + 228*w**2 - 224*w = 0.
0, 1, 56
Suppose 75*x**2 + 930*x + 2883 = 0. Calculate x.
-31/5
What is l in -4*l**5 + 36*l**4 - 28*l**3 - 36*l**2 + 32*l = 0?
-1, 0, 1, 8
Solve 2*b**3/3 - 326*b**2/3 + 6484*b/3 - 6160/3 = 0.
1, 22, 140
Suppose 32*a**4 - 7056*a**3 + 17506*a**2 - 14406*a + 3924 = 0. Calculate a.
3/4, 1, 218
Factor 2*b**2/5 + 558