4 + 120*i**3 - 1188*i**2 + 4320*i - 5184.
-4*(i - 12)**2*(i - 3)**2
Factor -2*w**4/9 + 28*w**3/9 - 38*w**2/3 + 16*w.
-2*w*(w - 8)*(w - 3)**2/9
Factor 4*c**2/7 + 76*c/7 + 72/7.
4*(c + 1)*(c + 18)/7
Find f such that 3*f**3 + 12*f**2 + 15*f + 6 = 0.
-2, -1
Factor 2*c**3/23 + 20*c**2/23 + 14*c/23 - 36/23.
2*(c - 1)*(c + 2)*(c + 9)/23
Factor 3*m**3/5 + 2289*m**2 + 10921389*m/5 + 10909947/5.
3*(m + 1)*(m + 1907)**2/5
Factor 16*p**3/9 + 964*p**2/9 - 928*p/3 - 84.
4*(p - 3)*(p + 63)*(4*p + 1)/9
Factor 5*i**2 + 275*i + 270.
5*(i + 1)*(i + 54)
Factor -6*f**2/7 + 30*f/7 + 36/7.
-6*(f - 6)*(f + 1)/7
Suppose b**2 - 91*b - 186 = 0. Calculate b.
-2, 93
Factor n**5 - 18*n**4 + 36*n**3 + 130*n**2 + 75*n.
n*(n - 15)*(n - 5)*(n + 1)**2
Factor 4*d**2 + 32*d + 60.
4*(d + 3)*(d + 5)
Factor 2*c**2/19 + 138*c/19 + 976/19.
2*(c + 8)*(c + 61)/19
Factor -605*d**3 + 3245*d**2 - 1120*d + 100.
-5*(d - 5)*(11*d - 2)**2
Suppose 25*p**2 - 1805*p + 360 = 0. What is p?
1/5, 72
Find c such that -3*c**5 - 204*c**4 - 3036*c**3 + 14688*c**2 - 15552*c = 0.
-36, 0, 2
Suppose -v**3/2 - 8*v**2 - 63*v/2 = 0. What is v?
-9, -7, 0
Let 3*r**5/2 - r**4 - 81*r**3/2 - 54*r**2 + 54*r = 0. What is r?
-3, 0, 2/3, 6
Factor -5*y**4/3 - 4*y**3 + 11*y**2/3 + 2*y.
-y*(y - 1)*(y + 3)*(5*y + 2)/3
Let 279*u**4/7 + 120*u**3 + 9*u**2/7 - 1116*u/7 - 12/7 = 0. What is u?
-2, -1/93, 1
Find g such that 3*g**3/2 - 303*g**2 = 0.
0, 202
Suppose -49*u**5/3 - 938*u**4/3 + 361*u**3 + 5060*u**2/3 + 4048*u/3 + 320 = 0. What is u?
-20, -1, -4/7, 3
Determine u so that -2*u**4/5 - 12*u**3/5 + 126*u**2/5 - 216*u/5 = 0.
-12, 0, 3
Solve l**2 - 89*l + 174 = 0 for l.
2, 87
Factor o**5 - o**4 - 5*o**3 + o**2 + 8*o + 4.
(o - 2)**2*(o + 1)**3
Factor -5*n**3 + 45*n**2 - 40*n.
-5*n*(n - 8)*(n - 1)
Factor k**3/3 + 17*k**2/3 + 16*k/3.
k*(k + 1)*(k + 16)/3
Factor r**4/6 + 5*r**3/6 + r**2/3 - 4*r/3.
r*(r - 1)*(r + 2)*(r + 4)/6
Suppose -294*w**4 + 3598*w**3 - 808*w**2 - 392*w + 96 = 0. Calculate w.
-1/3, 2/7, 12
Factor 2*g**4/9 - 2*g**3 - 146*g**2/9 + 130*g + 144.
2*(g - 9)**2*(g + 1)*(g + 8)/9
Solve x**2/7 - 13002*x/7 + 42263001/7 = 0.
6501
Find k such that 2*k**2/19 - 2120*k/19 + 561800/19 = 0.
530
Let -4*w**4 - 132*w**3 - 104*w**2 + 768*w = 0. Calculate w.
-32, -3, 0, 2
Suppose -4*u**2 + 32*u = 0. Calculate u.
0, 8
Determine n, given that n**2/5 - 78*n/5 - 688/5 = 0.
-8, 86
Find q such that -4*q**3 + 92*q**2 - 80*q - 176 = 0.
-1, 2, 22
Determine x, given that 5*x**2 + 525*x + 520 = 0.
-104, -1
Factor 5*u**2/4 - 300*u - 605.
5*(u - 242)*(u + 2)/4
Factor -14*z**3/5 + 2*z**2 + 4*z/5.
-2*z*(z - 1)*(7*z + 2)/5
What is p in 2*p**2 - 40*p + 38 = 0?
1, 19
Factor -3*k**4 - 1656*k**3 - 226866*k**2 + 458712*k - 230187.
-3*(k - 1)**2*(k + 277)**2
Solve 25*k**3 - 160*k**2 + 260*k - 80 = 0.
2/5, 2, 4
What is a in -2*a**4 - 24*a**3 - 70*a**2 + 24*a + 72 = 0?
-6, -1, 1
Let 3*l**3 - 192*l**2 + 183*l + 378 = 0. Calculate l.
-1, 2, 63
What is r in 3*r**5 - 51*r**3 - 108*r**2 - 60*r = 0?
-2, -1, 0, 5
Determine k so that 243890*k**4/7 - 507964*k**3/7 + 258912*k**2/7 + 62208*k/7 - 55296/7 = 0.
-2/5, 24/29
Factor -5*s**4 - 20*s**3 - 30*s**2 - 20*s - 5.
-5*(s + 1)**4
Factor 2*z**3/15 + 268*z**2/15 - 2*z/15 - 268/15.
2*(z - 1)*(z + 1)*(z + 134)/15
Let 36*l**2 + 4940*l + 1096 = 0. What is l?
-137, -2/9
Factor 3*b**2/2 - 5532*b + 5100504.
3*(b - 1844)**2/2
Find b, given that -3*b**3/7 - 6*b**2 + 285*b/7 = 0.
-19, 0, 5
Suppose i**2/6 + 7*i/6 + 2 = 0. Calculate i.
-4, -3
Factor -2*s**2/7 + 236*s/7 - 192.
-2*(s - 112)*(s - 6)/7
Factor -3*k**3/2 - 1205*k**2 + 4023*k/2 - 805.
-(k - 1)*(k + 805)*(3*k - 2)/2
Factor -7*y**3/2 - 61*y**2/2 - y + 152.
-(y - 2)*(y + 8)*(7*y + 19)/2
Let -w**3/3 + 13*w**2/3 + 14*w/3 = 0. What is w?
-1, 0, 14
Find a, given that 5*a**4 - 40*a**3 + 65*a**2 - 30*a = 0.
0, 1, 6
Let -3*x**3 - 1017*x**2 - 1014*x = 0. What is x?
-338, -1, 0
Factor -90*f**4 + 258*f**3 - 208*f**2 + 32*f.
-2*f*(3*f - 4)**2*(5*f - 1)
Factor -2*j**3/9 - 2*j**2/3 + 8*j/9 + 8/3.
-2*(j - 2)*(j + 2)*(j + 3)/9
Factor 69*c**2/7 + 264*c/7 - 48/7.
3*(c + 4)*(23*c - 4)/7
Let -2*g**3/7 + 116*g**2/7 - 738*g/7 + 1224/7 = 0. Calculate g.
3, 4, 51
What is d in -3*d**3 + 252*d**2 - 495*d + 246 = 0?
1, 82
Determine o, given that 2*o**5 - 4*o**4 - 38*o**3 + 64*o**2 + 168*o - 288 = 0.
-3, 2, 4
Find n such that -2*n**3/7 + 10*n**2/7 - 8*n/7 = 0.
0, 1, 4
Determine c so that c**2/2 + 227*c/2 + 555 = 0.
-222, -5
Let -2*t**2/9 + 280*t/3 - 9800 = 0. Calculate t.
210
What is p in -p**4 - 21*p**3 - 45*p**2 + 689*p - 1014 = 0?
-13, 2, 3
Determine m, given that -2*m**2/19 - 104*m/19 - 470/19 = 0.
-47, -5
Factor 4*p**3/7 - 368*p**2/7.
4*p**2*(p - 92)/7
Factor -5*w**4 + 450*w**3 + 460*w**2 - 450*w - 455.
-5*(w - 91)*(w - 1)*(w + 1)**2
Factor -2*p**5/5 + 68*p**4 - 14784*p**3/5 + 28224*p**2/5.
-2*p**2*(p - 84)**2*(p - 2)/5
Factor 2*s**2/5 - 40*s.
2*s*(s - 100)/5
Let 5*v**4 - 120*v**2 - 320*v - 240 = 0. Calculate v.
-2, 6
Determine n, given that -4*n**5 - 32*n**4 + 236*n**3 - 328*n**2 - 176*n + 416 = 0.
-13, -1, 2
Let 2*u**3/3 - 4*u**2/3 - 22*u/3 + 8 = 0. Calculate u.
-3, 1, 4
Let -n**4/6 - 358*n**3/3 - 65147*n**2/3 - 127090*n - 378075/2 = 0. What is n?
-355, -3
Factor -9*h**3 + 381*h**2 - 126*h.
-3*h*(h - 42)*(3*h - 1)
Determine q, given that -55*q**5 + 630*q**4 + 360*q**3 = 0.
-6/11, 0, 12
Determine d, given that -d**5/6 + d**4/3 - d**2/3 + d/6 = 0.
-1, 0, 1
Let -35*r**2 - 65*r + 10 = 0. Calculate r.
-2, 1/7
Factor -w**5 - 2*w**4 + 3*w**3.
-w**3*(w - 1)*(w + 3)
Factor -j**2/3 - 764*j - 437772.
-(j + 1146)**2/3
Factor -3*m**3 - 507*m**2 - 17745*m + 322959.
-3*(m - 13)*(m + 91)**2
Determine z, given that -2*z**2 - 384*z - 18432 = 0.
-96
Solve -3*y**5/5 + 1149*y**4/5 - 29490*y**3 + 6436614*y**2/5 - 12435459*y/5 + 6145149/5 = 0 for y.
1, 127
Find a such that 2*a**5/5 - 48*a**4 + 10032*a**3/5 - 161728*a**2/5 + 658464*a/5 = 0.
0, 6, 38
Solve 16*s**5 - 180*s**4 + 732*s**3 - 1276*s**2 + 852*s - 144 = 0.
1/4, 1, 3, 4
Factor -5*p**5/4 - p**4/2.
-p**4*(5*p + 2)/4
Factor 2*z**5/9 + 2*z**4 + 6*z**3 + 6*z**2.
2*z**2*(z + 3)**3/9
Find i such that 4*i**5 - 116*i**4 - 124*i**3 + 116*i**2 + 120*i = 0.
-1, 0, 1, 30
Factor 2*i**2/15 + 38*i/15 + 12/5.
2*(i + 1)*(i + 18)/15
Find k, given that -15*k**5 + 635*k**4 - 5325*k**3 + 1705*k**2 = 0.
0, 1/3, 11, 31
Find c such that -10*c**4 - 905*c**3 - 3930*c**2 - 5180*c - 1720 = 0.
-86, -2, -1/2
Suppose 13*v**2/3 - 294*v - 136/3 = 0. What is v?
-2/13, 68
Factor 2*t**5 - 14*t**4 - 6*t**3 + 110*t**2 + 100*t.
2*t*(t - 5)**2*(t + 1)*(t + 2)
Let k**4/2 - 10*k**3 - 22*k**2 = 0. Calculate k.
-2, 0, 22
Let 242*s**5/5 + 2332*s**4/5 + 5662*s**3/5 + 412*s**2 - 1368*s/5 + 144/5 = 0. What is s?
-6, -3, -1, 2/11
Factor 2*g**4 + 2*g**3 - 4*g**2.
2*g**2*(g - 1)*(g + 2)
Factor -3*u**2 - 399*u + 1644.
-3*(u - 4)*(u + 137)
Factor -3*v**2/8 + 133*v/8 + 45/4.
-(v - 45)*(3*v + 2)/8
Let -2*r**4 + 32*r**3 + 34*r**2 = 0. Calculate r.
-1, 0, 17
Factor y**4/3 - 52*y**3/3 + 676*y**2/3.
y**2*(y - 26)**2/3
Suppose 7*s**4/4 + 3*s**3/2 - 2*s**2 - 3*s/2 + 1/4 = 0. Calculate s.
-1, 1/7, 1
Suppose 2*m**5 + 4*m**4 - 112*m**3 - 404*m**2 + 110*m + 400 = 0. What is m?
-5, -1, 1, 8
Find c, given that -3*c**5 - 6*c**4 + 30*c**3 + 60*c**2 - 27*c - 54 = 0.
-3, -2, -1, 1, 3
Factor 5*j**5 - 4640*j**4 + 1081110*j**3 - 2148320*j**2 + 1071845*j.
5*j*(j - 463)**2*(j - 1)**2
Find j such that -3*j**5/7 - 10*j**4/7 + 61*j**3/7 + 180*j**2/7 - 208*j/7 - 320/7 = 0.
-4, -1, 5/3, 4
Factor -4*p**3/5 + 8*p**2 - 116*p/5 + 16.
-4*(p - 5)*(p - 4)*(p - 1)/5
Factor -z**4/3 - z**3/3.
-z**3*(z + 1)/3
Let -2*y**3/9 + 8*y**2/3 + 86*y/9 + 20/3 = 0. What is y?
-2, -1, 15
Factor -4*s**2 - 88*s - 84.
-4*(s + 1)*(s + 21)
Factor 4*b**3 - 80*b**2 - 3952*b + 86528.
4*(b - 26)**2*(b + 32)
Determine z, given that -15*z**3/8 - 123*z**2/2 - 849*z/8 - 93/2 = 0.
-31, -1, -4/5
Find b, given that -12*b**3 - 405*b**2 - 2394*b + 624 = 0.
-26, -8, 1/4
Factor -q**2 + 6*q - 9.
-(q - 3)**2
Let -3*p**4/4 + 36*p**3 - 1365*p**2/4 = 0. What is p?
0, 13, 35
Factor h**4/3 + 5*h**3/3 - 16*h**2/3 - 80*h/3.
h*(h - 4)*(h + 4)*(h + 5)/3
Factor -4*b**2 + 4068*b + 16336.
-4*(b - 1021)*(b + 4)
Find d, given that -2*d**5/3 - 2*d**4/3 + 48*d**3 = 0.
-9, 0, 8
Find k such that 4*k**3 - 44*k**2 + 104*k - 64 = 0.
1, 2, 8
Solve 4*j**5 - 1744*j**4 + 191812*j**3 - 369736*j**2 - 76731