4 = 0.
-119, -1, 0
Factor -34*c**2/13 - 38*c/13 - 4/13.
-2*(c + 1)*(17*c + 2)/13
Factor -3*y**4 - 6*y**3 + 9*y**2.
-3*y**2*(y - 1)*(y + 3)
Determine n so that 2*n**2/7 + 340*n/7 + 14450/7 = 0.
-85
Solve 3*c**5 + 81*c**4 + 351*c**3 + 471*c**2 + 198*c = 0.
-22, -3, -1, 0
Let -v**3 - 20*v**2 + 21*v = 0. What is v?
-21, 0, 1
Solve 3*s**2/7 + 36*s/7 + 33/7 = 0.
-11, -1
Factor -4*z**3/9 + 76*z**2/9 + 4*z/9 - 76/9.
-4*(z - 19)*(z - 1)*(z + 1)/9
Factor -20*r**3 - 11*r**2 + 8*r - 1.
-(r + 1)*(4*r - 1)*(5*r - 1)
Let -25*o**4 - 1415*o**3 - 21705*o**2 - 45765*o + 21870 = 0. Calculate o.
-27, -3, 2/5
Factor m**4/2 + 77*m**3 - 627*m**2/2 + 394*m - 158.
(m - 2)*(m - 1)**2*(m + 158)/2
Factor -5*c**2 + 2705*c + 5430.
-5*(c - 543)*(c + 2)
Determine j, given that 2*j**2 - 86*j - 180 = 0.
-2, 45
What is h in 5*h**5 - 5*h**4 - 215*h**3 - 535*h**2 + 30*h + 720 = 0?
-3, -2, 1, 8
Factor -5*x**4 + 10*x**3 + 135*x**2 - 540*x + 540.
-5*(x - 3)**2*(x - 2)*(x + 6)
Find b such that -b**2 = 0.
0
Find q such that 2*q**3/5 + 36*q**2/5 + 66*q/5 + 32/5 = 0.
-16, -1
Find q, given that -3*q**2 - 39*q - 90 = 0.
-10, -3
What is n in -3*n**5 + 6*n**4 + 18*n**3 - 24*n**2 - 15*n + 18 = 0?
-2, -1, 1, 3
Factor -3*n**2/7 + 1671*n - 11694/7.
-3*(n - 3898)*(n - 1)/7
Solve -5*h**2 - 80*h + 180 = 0.
-18, 2
Determine u so that -6*u**5/7 + 32*u**4/7 - 24*u**3/7 - 32*u**2/7 = 0.
-2/3, 0, 2, 4
Let -6*a**5/7 - 256*a**4/7 + 354*a**3/7 + 12*a**2 - 176*a/7 = 0. What is a?
-44, -2/3, 0, 1
Let -5*q**4 + 360*q**3 - 6105*q**2 - 13690*q = 0. What is q?
-2, 0, 37
Let 3*t**4 - 15*t**3 - 30*t**2 + 60*t + 72 = 0. Calculate t.
-2, -1, 2, 6
Solve -3*q**3 - 513*q**2 - 1017*q - 507 = 0 for q.
-169, -1
Factor -2*m**2/5 + 32*m + 328/5.
-2*(m - 82)*(m + 2)/5
Factor u**2/4 + 5*u/2 - 39/4.
(u - 3)*(u + 13)/4
Find n such that -4*n**2 - 32*n - 48 = 0.
-6, -2
Factor -3*u**4/5 + 117*u**3/5 - 216*u**2 - 240*u.
-3*u*(u - 20)**2*(u + 1)/5
Factor 2*p**3/15 + 6*p**2/5 + 46*p/15 + 2.
2*(p + 1)*(p + 3)*(p + 5)/15
Solve -4*o**4 - 1668*o**3 + 1676*o**2 + 1668*o - 1672 = 0 for o.
-418, -1, 1
Factor -4*r**4 + 116*r**3 + 372*r**2 + 380*r + 128.
-4*(r - 32)*(r + 1)**3
Factor -2*a**2 - 4016*a - 2016032.
-2*(a + 1004)**2
Factor -r**5 - 10*r**4 + 23*r**3 - 12*r**2.
-r**2*(r - 1)**2*(r + 12)
Suppose -r**3/11 - 4*r**2/11 + r/11 + 4/11 = 0. Calculate r.
-4, -1, 1
Factor -2*b**2/13 + 16*b + 424/13.
-2*(b - 106)*(b + 2)/13
Determine g, given that -3*g**3 - 234*g**2 + 6912*g - 44064 = 0.
-102, 12
Factor 147*h**3 + 168*h**2 - 225*h + 54.
3*(h + 2)*(7*h - 3)**2
Factor 5*d**2 - 920*d + 42320.
5*(d - 92)**2
Factor 2*r**2 - 30*r + 88.
2*(r - 11)*(r - 4)
Factor 6*w**5 - 25*w**4 - 62*w**3 - 25*w**2 + 6*w.
w*(w - 6)*(w + 1)**2*(6*w - 1)
Find i such that -i**2 - 30*i + 136 = 0.
-34, 4
Solve -2*r**2/7 - 16*r/7 + 256/7 = 0 for r.
-16, 8
Find j such that -3*j**2/8 + 135*j/8 - 33/2 = 0.
1, 44
Factor 2*w**5/5 + 14*w**4/5 - 4*w**3/5 - 92*w**2/5 + 26*w - 10.
2*(w - 1)**3*(w + 5)**2/5
Let -t**4/3 - 7*t**3 - 127*t**2/3 - 65*t - 88/3 = 0. What is t?
-11, -8, -1
Factor 4*v**2 + 764*v.
4*v*(v + 191)
Factor q**2/4 + 17*q/2 - 111/4.
(q - 3)*(q + 37)/4
Suppose 4*q**3 + 5532*q**2 - 11076*q + 5540 = 0. What is q?
-1385, 1
Factor -82*s**3 + 4*s**2.
-2*s**2*(41*s - 2)
Factor w**5 - 5*w**4 - w**3 + 5*w**2.
w**2*(w - 5)*(w - 1)*(w + 1)
Factor p**5/6 + 35*p**4/6 - 39*p**3 + 241*p**2/3 - 407*p/6 + 41/2.
(p - 3)*(p - 1)**3*(p + 41)/6
Solve -3*q**3 + 504*q**2 - 20655*q - 43350 = 0.
-2, 85
Find a, given that -2*a**4/13 - 50*a**3/13 + 420*a**2/13 - 880*a/13 + 512/13 = 0.
-32, 1, 2, 4
What is i in -2*i**2/3 - 3544*i/3 - 1569992/3 = 0?
-886
Determine b, given that b**2/6 - 347*b/3 - 697/2 = 0.
-3, 697
Factor v**3/10 - 5*v**2/2 + 143*v/10 - 119/10.
(v - 17)*(v - 7)*(v - 1)/10
Find l, given that -2*l**5 + 106*l**4 - 102*l**3 - 106*l**2 + 104*l = 0.
-1, 0, 1, 52
Solve -2*n**2 + 242*n = 0 for n.
0, 121
Factor -2*o**4/5 - 66*o**3/5 - 126*o**2 - 270*o.
-2*o*(o + 3)*(o + 15)**2/5
Factor 5*h**5 - 200*h**4 + 385*h**3 - 190*h**2.
5*h**2*(h - 38)*(h - 1)**2
Factor -x**3/2 - 2367*x**2/2 - 1401855*x/2 - 1399489/2.
-(x + 1)*(x + 1183)**2/2
Determine f, given that 504*f**2 - f = 0.
0, 1/504
Determine r so that -16*r**5 - 1268*r**4 - 6364*r**3 - 11048*r**2 - 7120*r - 1184 = 0.
-74, -2, -1, -1/4
Factor 3*k**2/4 - 543*k/2 + 1083/4.
3*(k - 361)*(k - 1)/4
Factor -3*v**3 + 9*v**2/2 + 27*v/2 - 15.
-3*(v - 1)*(v + 2)*(2*v - 5)/2
Find i, given that 2*i**2/11 + 164*i/11 - 1840/11 = 0.
-92, 10
Factor -25*p**3 + 1185*p**2 + 730*p - 480.
-5*(p - 48)*(p + 1)*(5*p - 2)
Factor 15*t**5 + 89*t**4 + 174*t**3 + 138*t**2 + 35*t - 3.
(t + 1)**3*(t + 3)*(15*t - 1)
Factor -4*o**4 + 460*o**3 - 11436*o**2 - 108092*o + 119072.
-4*(o - 61)**2*(o - 1)*(o + 8)
Let 2*w**2 - 328*w = 0. What is w?
0, 164
Determine c, given that c**5/4 + 11*c**4/4 + 15*c**3/2 - 11*c**2/2 - 95*c/4 + 75/4 = 0.
-5, -3, 1
Factor 5*g**3 - 1585*g**2.
5*g**2*(g - 317)
Find n, given that n**3/4 - 7*n**2/4 - 6*n + 45 = 0.
-5, 6
Factor -3*k**2 + 39*k.
-3*k*(k - 13)
Factor s**2/5 - 182*s + 41405.
(s - 455)**2/5
Factor -2*x**4 - 180*x**3 + 368*x**2.
-2*x**2*(x - 2)*(x + 92)
Find c such that -c**2/4 - 35*c/4 = 0.
-35, 0
Suppose -2*w**5 - 2*w**4 + 16*w**3 + 24*w**2 = 0. Calculate w.
-2, 0, 3
Find d such that -4*d**3 - 6*d**2 + 4*d + 6 = 0.
-3/2, -1, 1
Solve -5*j**4/6 + 25*j**3/3 + 145*j**2/6 - 45*j - 60 = 0.
-3, -1, 2, 12
Factor 1156*s**3 + 12580*s**2 - 1492*s + 44.
4*(s + 11)*(17*s - 1)**2
Let -2*b**3/5 - 24*b**2/5 - 34*b/5 + 36 = 0. What is b?
-9, -5, 2
Factor -20*r**3 - 125*r**2 - 30*r.
-5*r*(r + 6)*(4*r + 1)
Find b such that -2*b**3/3 - 6*b**2 - 28*b/3 = 0.
-7, -2, 0
Factor 2*s**3 - 302*s**2 + 296*s + 600.
2*(s - 150)*(s - 2)*(s + 1)
Suppose -g**5/11 + 41*g**4/11 - 334*g**3/11 - 38*g**2 + 335*g/11 + 377/11 = 0. What is g?
-1, 1, 13, 29
Solve -t**2 + 251*t - 1470 = 0.
6, 245
Suppose -14*x**5/3 + 106*x**4/3 - 266*x**3/3 + 302*x**2/3 - 160*x/3 + 32/3 = 0. Calculate x.
4/7, 1, 4
Determine r, given that -9*r**4 - 162*r**3 - 149*r**2 + 72*r + 68 = 0.
-17, -1, -2/3, 2/3
Find j such that 2*j**3 - 12*j**2 - 30*j - 16 = 0.
-1, 8
Let 4*t**3 + 10*t**2 - 6*t = 0. Calculate t.
-3, 0, 1/2
Suppose 6*d**4/5 + 88*d**3/5 + 10*d**2 - 88*d/5 - 56/5 = 0. Calculate d.
-14, -1, -2/3, 1
Factor -4*s**3 - 56*s**2 - 164*s + 224.
-4*(s - 1)*(s + 7)*(s + 8)
Factor q**4/11 - q**3/11.
q**3*(q - 1)/11
Determine w so that -w**2/9 + 35*w/9 - 34/9 = 0.
1, 34
Let 2*v**5/3 + 133*v**4/3 + 107*v**3 + 62*v**2/3 - 128*v/3 = 0. Calculate v.
-64, -2, -1, 0, 1/2
Determine q, given that 5*q**5 + 35*q**4 - 15*q**3 - 315*q**2 - 270*q = 0.
-6, -3, -1, 0, 3
Factor -n**4 + 4*n**3.
-n**3*(n - 4)
Factor 2*m**4/3 + 2*m**3 - 32*m**2/3 - 32*m.
2*m*(m - 4)*(m + 3)*(m + 4)/3
Factor 4*y**4 + 524*y**3 + 17928*y**2 + 50176*y + 32768.
4*(y + 1)*(y + 2)*(y + 64)**2
Let 3249*d**2/2 + 114*d + 2 = 0. What is d?
-2/57
Let -4*p**3/7 - 1866*p**2/7 - 932*p/7 = 0. Calculate p.
-466, -1/2, 0
Let a**4/3 + 146*a**3/3 + 4864*a**2/3 - 11552*a = 0. What is a?
-76, 0, 6
Find o such that 2*o**4/21 - 22*o**3/21 - 52*o**2/21 = 0.
-2, 0, 13
Factor v**3/4 - 16*v**2 - 649*v/4 - 146.
(v - 73)*(v + 1)*(v + 8)/4
Factor 4*b**4 - 44*b**3 + 108*b**2 - 100*b + 32.
4*(b - 8)*(b - 1)**3
Suppose 2*n**5 + 850*n**4 + 144500*n**3 + 12282500*n**2 + 522006250*n + 8874106250 = 0. Calculate n.
-85
Find g such that 2*g**3 + 24*g**2 + 18*g - 44 = 0.
-11, -2, 1
Factor -4*b**4 - 408*b**3 - 404*b**2.
-4*b**2*(b + 1)*(b + 101)
Factor -2*z**4/13 - 4938*z**3/13 - 4063974*z**2/13 - 1114883534*z/13.
-2*z*(z + 823)**3/13
Find p such that -96*p**5 - 579*p**4 - 1266*p**3 - 1191*p**2 - 420*p - 12 = 0.
-2, -1, -1/32
Factor -3*d**3/4 + 8739*d**2/4 - 8485569*d/4 + 2746495833/4.
-3*(d - 971)**3/4
Let -4*m**5 + 8*m**4 = 0. What is m?
0, 2
What is f in 5*f**2 - 385*f - 19600 = 0?
-35, 112
Let -2*j**4/11 + 14*j**3/11 + 16*j**2/11 = 0. Calculate j.
-1, 0, 8
Solve o**2/8 - 213*o/8 - 107/4 = 0.
-1, 214
Factor -2*v**2 + 647*v - 323.
-(v - 323)*(2*v - 1)
Find d such that 2*d**2/19 - 1762*d/19 - 3532/19 = 0.
-2, 883
Solve v**5/5 + 42*v**4/5 - 187*v**3/5 - 124*v**2/5 + 636*v/5 - 368/5 = 0 for v.
-46, -2, 1, 4
Suppose 4*r**2 - 84*r - 88 = 0. What is r?
-1, 22
Let -3*v**2 - 726*v - 723 = 0. Calculate v.
-241, -1
Factor -5*n**3 + 5*n**2 + 80*n + 100.
-5*(n - 5)*(n + 2)**2
Factor