i + 45)/7
Factor 5*r**2 + 2629*r - 526.
(r + 526)*(5*r - 1)
Solve -s**3 - 98*s**2 - 1189*s - 1092 = 0.
-84, -13, -1
Let m**4/7 + 6*m**3/7 - m**2/7 - 6*m/7 = 0. What is m?
-6, -1, 0, 1
Factor -2*o**4/7 - 2*o**3/7 + 16*o**2/7 + 24*o/7.
-2*o*(o - 3)*(o + 2)**2/7
Find o, given that -2*o**5 + 14*o**4 - 6*o**3 - 110*o**2 + 224*o - 120 = 0.
-3, 1, 2, 5
Find l such that 4*l**5 + 40*l**4 + 64*l**3 = 0.
-8, -2, 0
Determine x, given that 24*x**5 + 1702*x**4/5 + 58*x**3 - 256*x**2/5 - 56*x/5 = 0.
-14, -1/3, -1/4, 0, 2/5
Factor -400*y**4/3 - 920*y**3/3 - 83*y**2 - 6*y.
-y*(y + 2)*(20*y + 3)**2/3
Factor 3*u**3/5 - 216*u**2 + 19440*u.
3*u*(u - 180)**2/5
Let 5*c**3 - 540*c**2 + 15105*c - 28090 = 0. What is c?
2, 53
Factor -4418*v**2 - 376*v - 8.
-2*(47*v + 2)**2
Find d such that -d**3/8 - 7*d**2/8 + d = 0.
-8, 0, 1
Factor -s**4/4 - 131*s**3/4 + 265*s**2/4 - 133*s/4.
-s*(s - 1)**2*(s + 133)/4
Factor 3*u**3 - 3*u**2 - 3*u + 3.
3*(u - 1)**2*(u + 1)
Solve 6*k**4/5 - 2142*k**3/5 + 37584*k**2 + 116640*k = 0.
-3, 0, 180
Determine x so that 2*x**3 - 2*x**2 - 8*x + 8 = 0.
-2, 1, 2
Suppose 81*v**2 + 168*v + 87 = 0. What is v?
-29/27, -1
Factor -5*c**3 - 20*c**2 + 655*c - 630.
-5*(c - 9)*(c - 1)*(c + 14)
Solve -m**5/5 + 14*m**4/5 - 14*m**3/5 - 236*m**2/5 - 369*m/5 - 162/5 = 0 for m.
-2, -1, 9
Suppose m**3/9 + m**2/3 - 2*m/3 - 8/9 = 0. Calculate m.
-4, -1, 2
Factor -3*l**2/2 - 4443*l - 6580083/2.
-3*(l + 1481)**2/2
Factor b**4/3 - 262*b**3/3 - 1060*b**2/3 - 1064*b/3.
b*(b - 266)*(b + 2)**2/3
Solve -2*n**2/9 - 868*n/9 - 94178/9 = 0.
-217
Determine b so that -4*b**5 + 55660*b**4 - 309803560*b**3 + 862183307480*b**2 - 1199728072358420*b + 667768645074696572 = 0.
2783
Solve 3*j**3 - 78*j**2 + 507*j = 0 for j.
0, 13
Factor -w**3/4 + 19*w**2/2 + 211*w/4 + 43.
-(w - 43)*(w + 1)*(w + 4)/4
Suppose -u**4/2 - 2*u**3 - 5*u**2/2 - u = 0. What is u?
-2, -1, 0
Let 5*a**4 - 330*a**3 + 5440*a**2 + 330*a - 5445 = 0. What is a?
-1, 1, 33
Solve -74*j**5/9 + 226*j**4/9 + 728*j**3/9 - 40*j**2/9 = 0.
-2, 0, 2/37, 5
Determine o so that 3*o**4 + 321*o**3 + 11340*o**2 + 128304*o - 139968 = 0.
-36, 1
Let -35*m**4 + 690*m**3 + 1705*m**2 + 1200*m + 220 = 0. What is m?
-1, -2/7, 22
Factor -y**3/6 + 337*y**2/6 - 28223*y/6 - 28561/6.
-(y - 169)**2*(y + 1)/6
Factor -4*k**2 - 1692*k - 1688.
-4*(k + 1)*(k + 422)
Suppose 8*z**4 + 2930*z**3 + 3652*z**2 + 730*z = 0. Calculate z.
-365, -1, -1/4, 0
Determine y, given that -4*y**5 - 18*y**4 - 16*y**3 + 12*y**2 + 20*y + 6 = 0.
-3, -1, -1/2, 1
What is m in -10*m**4 - 6*m**3 = 0?
-3/5, 0
Determine j, given that 3*j**5/5 - 111*j**4/5 + 213*j**3 - 441*j**2/5 - 4536*j/5 - 2916/5 = 0.
-1, 3, 18
Factor -4*k**4 + 112*k**3 - 724*k**2 + 1752*k - 1440.
-4*(k - 20)*(k - 3)**2*(k - 2)
Let 8*h**5 - 2*h**4 - 296*h**3 + 74*h**2 + 288*h - 72 = 0. Calculate h.
-6, -1, 1/4, 1, 6
Factor -4*u**3 + 656*u**2 + 660*u.
-4*u*(u - 165)*(u + 1)
Find w such that w**3/9 - 25*w**2/9 + 56*w/3 - 16 = 0.
1, 12
Determine q, given that q**5 + 3*q**4 - 4*q**2 = 0.
-2, 0, 1
Find b, given that 3*b**2 - 195*b = 0.
0, 65
Factor 4*w**3 + 1252*w**2 - 4*w - 1252.
4*(w - 1)*(w + 1)*(w + 313)
What is z in 3*z**3 + 129*z**2 - 1590*z = 0?
-53, 0, 10
What is k in k**4/4 - 91*k**3/2 + 267*k**2 - 530*k + 352 = 0?
2, 176
Solve 2*x**4/7 - 8*x**3/7 - 6*x**2 - 8*x/7 + 8 = 0 for x.
-2, 1, 7
Let 4*y**3 + 556*y**2 - 4*y - 556 = 0. What is y?
-139, -1, 1
Factor -48*u**2/5 - 1848*u/5 - 17787/5.
-3*(4*u + 77)**2/5
Determine y so that 2*y**2/3 + 776*y/3 - 520 = 0.
-390, 2
Factor 4*u**3 + 53*u**2/3 + 68*u/3 + 20/3.
(u + 2)**2*(12*u + 5)/3
Factor 2*q**3/7 - 22*q**2/7 - 104*q/7 + 40.
2*(q - 14)*(q - 2)*(q + 5)/7
Find b, given that -3*b**2 + 177*b - 2592 = 0.
27, 32
Suppose 4*l**2 - 708*l + 1400 = 0. Calculate l.
2, 175
Suppose c**3/2 - c**2 - 4*c = 0. What is c?
-2, 0, 4
Factor -3*r**2/5 - 3*r/5.
-3*r*(r + 1)/5
Let -3*w**3/2 - 21*w**2/2 + 51*w/2 - 27/2 = 0. What is w?
-9, 1
Let -20*k**4/3 - 112*k**3/3 - 112*k**2/3 + 64*k/3 = 0. What is k?
-4, -2, 0, 2/5
Solve -3*n**5/8 + 3*n**4/4 + 21*n**3/2 - 3*n**2 - 36*n = 0 for n.
-4, -2, 0, 2, 6
Factor z**2/6 + 20*z + 1078/3.
(z + 22)*(z + 98)/6
Factor -4*f**4 + 24*f**3 - 36*f**2.
-4*f**2*(f - 3)**2
What is x in x**5/3 - 2*x**4 + 22*x**2/3 + 5*x = 0?
-1, 0, 3, 5
Find n such that -2*n**5/13 + 20*n**4/13 - 66*n**3/13 + 64*n**2/13 + 56*n/13 - 96/13 = 0.
-1, 2, 3, 4
Factor -5*w**2 + 395*w - 7790.
-5*(w - 41)*(w - 38)
Factor 2*v**3/5 + 96*v**2/5 + 186*v/5 + 92/5.
2*(v + 1)**2*(v + 46)/5
Factor z**4/9 + 26*z**3/9 + 229*z**2/9 + 260*z/3 + 100.
(z + 3)**2*(z + 10)**2/9
Find u such that 2*u**5/7 + 10*u**4/7 - 34*u**3/7 - 34*u**2/7 + 64*u/7 + 8 = 0.
-7, -1, 2
Factor o**3/9 - o**2.
o**2*(o - 9)/9
Solve -5*q**4/3 - 15*q**3 + 50*q**2/3 = 0 for q.
-10, 0, 1
Solve 5*k**3 + 500*k**2 + 10865*k - 84270 = 0.
-53, 6
Factor -2*d**2/21 + 122*d/21 - 40/7.
-2*(d - 60)*(d - 1)/21
Find g, given that 4*g**2 + 176*g + 1936 = 0.
-22
Find m, given that 2*m**2/5 + 2*m - 12/5 = 0.
-6, 1
Suppose 2*c**5 + 33*c**4 + 132*c**3 + 106*c**2 - 174*c - 99 = 0. What is c?
-11, -3, -1/2, 1
Solve 3*j**5 + 33*j**4 - 126*j**3 + 12*j**2 + 168*j = 0 for j.
-14, -1, 0, 2
Factor -2*g**2 + 204*g - 5202.
-2*(g - 51)**2
Determine q so that -5*q**2 - 1190*q - 70805 = 0.
-119
Factor -4*x**2/5 + 32*x/5 - 48/5.
-4*(x - 6)*(x - 2)/5
Factor 5*o**3 - 1930*o**2 + 1925*o.
5*o*(o - 385)*(o - 1)
Let 2*q**2 + 4792*q + 2870408 = 0. What is q?
-1198
Find d such that 15*d**5 - 160*d**4 + 440*d**3 - 390*d**2 + 25*d + 70 = 0.
-1/3, 1, 2, 7
Let 3*s**3/4 - 45*s**2/4 + 81*s/4 - 39/4 = 0. What is s?
1, 13
What is k in -4*k**2 - 48*k - 108 = 0?
-9, -3
Factor 4*q**3/7 + 188*q**2/7 + 704*q/7 + 688/7.
4*(q + 2)**2*(q + 43)/7
Factor 3*a**3 - 27*a**2 + 33*a + 63.
3*(a - 7)*(a - 3)*(a + 1)
Solve v**4/2 + 1039*v**3/2 + 357027*v**2/2 + 39585325*v/2 - 170034196 = 0.
-349, 8
Suppose 3*b**3/4 + 15*b**2 - 129*b/4 + 33/2 = 0. Calculate b.
-22, 1
Factor 5*o**3 - 6045*o**2 + 24120*o - 24100.
5*(o - 1205)*(o - 2)**2
Factor x**3 - 364*x**2/5 - 73*x/5.
x*(x - 73)*(5*x + 1)/5
Factor 3*s**3 + 297*s**2 + 7200*s - 7500.
3*(s - 1)*(s + 50)**2
Solve -5*c**4/2 + 59*c**3/2 + 257*c**2/2 - 251*c/2 - 30 = 0.
-4, -1/5, 1, 15
Suppose i**3/4 - i**2/2 - i/4 + 1/2 = 0. Calculate i.
-1, 1, 2
Suppose -o**3/4 + 2*o**2 + o/4 - 2 = 0. What is o?
-1, 1, 8
Suppose -4*f**2 + 16*f - 12 = 0. What is f?
1, 3
Suppose 27*t**2 - 3*t = 0. Calculate t.
0, 1/9
Determine k so that -2*k**3/11 - 50*k**2/11 + 124*k/11 + 432/11 = 0.
-27, -2, 4
Factor 4*f**3 - 108*f**2 + 780*f - 676.
4*(f - 13)**2*(f - 1)
Find r, given that -3*r**4/5 + 8*r**3/5 + 3*r**2/5 = 0.
-1/3, 0, 3
Solve -5*v**3 + 2360*v**2 - 7015*v - 9380 = 0 for v.
-1, 4, 469
What is y in -340*y**2 + 344*y - 4 = 0?
1/85, 1
Factor 5*a**2/3 - 80*a/3 - 85/3.
5*(a - 17)*(a + 1)/3
Determine b so that -21*b**3/8 + 45*b**2/4 - 27*b/2 + 3 = 0.
2/7, 2
Find q, given that -4*q**4 - 60*q**3 - 200*q**2 = 0.
-10, -5, 0
Suppose -b**4/8 - 12*b**3 + 313*b**2/8 + 399*b/2 + 297/2 = 0. Calculate b.
-99, -2, -1, 6
Determine q so that q**3 + 108*q**2 + 1005*q + 2450 = 0.
-98, -5
Determine m, given that 3*m**2/8 - 171*m/4 + 84 = 0.
2, 112
Factor -v**4/2 + 19*v**3/2 - 95*v**2/2 + 77*v/2.
-v*(v - 11)*(v - 7)*(v - 1)/2
Suppose -3*b**2/2 - 24*b - 72 = 0. Calculate b.
-12, -4
Factor -2*n**3 - 40*n**2 - 34*n + 76.
-2*(n - 1)*(n + 2)*(n + 19)
Factor -3*s**5 + 11*s**4 - 8*s**3 - 4*s**2.
-s**2*(s - 2)**2*(3*s + 1)
Factor -u**5/6 + 2*u**4/3 + 8*u**3/3 - 32*u**2/3.
-u**2*(u - 4)**2*(u + 4)/6
Factor 2*o**2/3 + 542*o/3 + 180.
2*(o + 1)*(o + 270)/3
Factor y**2/2 - 36*y + 648.
(y - 36)**2/2
Solve -2*c**3 + 3*c**2 = 0.
0, 3/2
Factor -w**3/2 - 3*w**2/2 - 3*w/2 - 1/2.
-(w + 1)**3/2
Factor -2*f**2 - 106*f - 480.
-2*(f + 5)*(f + 48)
Let -16*j**3/3 + 220*j**2/3 - 796*j/3 + 160 = 0. Calculate j.
3/4, 5, 8
Factor -2*v**4/5 - 8*v**3/5 - 8*v**2/5.
-2*v**2*(v + 2)**2/5
Factor -u**2 - 538*u + 539.
-(u - 1)*(u + 539)
What is a in 2*a**4/7 + 52*a**3/7 + 170*a**2/7 - 24*a - 792/7 = 0?
-22, -3, 2
Determine h, given that -9*h**5 + 3*h**4 + 152*h**3 - 376*h**2 + 304*h - 80 = 0.
-5, 2/3, 2
Factor -s**4/4 + 2*s**3 + 13*s**2/2 - 42*s - 441/4.
-(s - 7)**2*(s + 3)**2/4
Determine t so that -t**3/9 + 8*t**2/9 - 13*t/9 + 2/3 = 0.
1, 6
Let -h**3/2 + 11*h**2/2 + 6*h = 0. Calculate h.
-1, 0, 12
Factor -2*m**4 + 290*m**3 